diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/-qxIOZHFx-I_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/-qxIOZHFx-I_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..56b7f6f8c79f3d3d30bf21854d8e3d5020658e51 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/-qxIOZHFx-I_postprocess.srt @@ -0,0 +1,1716 @@ +1 +00:00:21,430 --> 00:00:26,070 +الله الرحمن الرحيم نعود إلى نفس ال section اللي + +2 +00:00:26,070 --> 00:00:29,950 +بيننا اللي بيننا نقول linear dependence and linear + +3 +00:00:29,950 --> 00:00:34,050 +independence فكرة اعتدت عليها في المرة اللي قبل + +4 +00:00:34,050 --> 00:00:40,230 +وقبل حاجة المقابلة الماضية اعتدها الماضية مفادهاإن + +5 +00:00:40,230 --> 00:00:43,710 +لو عندي مجموعة من ال vector بقول عنهم linearly + +6 +00:00:43,710 --> 00:00:49,830 +dependent إذا قدرت أكد واحد أو as a linear + +7 +00:00:49,830 --> 00:00:55,050 +combination من من الآخرين إذا جيت لأي vector من + +8 +00:00:55,050 --> 00:00:58,910 +هذا ال vector من المعلاقات و قدرت أكده as a linear + +9 +00:00:58,910 --> 00:01:03,050 +combination من الآخرين بقول هدول المجموعة are + +10 +00:01:03,050 --> 00:01:09,030 +linearly dependentتمام و أعطيني على ذلك مثال واحدة + +11 +00:01:09,030 --> 00:01:13,430 +من المرة الماضية أخدنا two vectors و قدرت أثبت أن + +12 +00:01:13,430 --> 00:01:17,010 +واحدة فيهم مضاعفات تانية و بالتالي الاتنين هذول + +13 +00:01:17,010 --> 00:01:22,570 +صاروا linearly دجالة ننتقل الآن إلى المثال رقم + +14 +00:01:22,570 --> 00:01:26,310 +اتنين اعطيني اربعة vectors زي ما انتوا شايفين في + +15 +00:01:26,310 --> 00:01:31,720 +R3و بيقولي حد اخدي هل ال vectors هذول are linearly + +16 +00:01:31,720 --> 00:01:36,800 +dependent و لا linearly independent بقوله كويس + +17 +00:01:36,800 --> 00:01:42,940 +يبقى انا عندي اربعة vectors اذا جدلت اكتب اي واحد + +18 +00:01:42,940 --> 00:01:47,020 +فيهم بدلات الآخرين يبقى نقطة الخط بيصير هذا الملهم + +19 +00:01:47,020 --> 00:01:52,320 +linearly dependent تبقى لنص النظرية طبعا عندي + +20 +00:01:52,320 --> 00:01:57,750 +اربعة أفك مين منهمهو ناجي جدا كثير ماعناهاش مشكلة + +21 +00:01:57,750 --> 00:02:02,490 +يبقى لو راحت .. لو راحت اخذ اي واحد فيهم على سبيل + +22 +00:02:02,490 --> 00:02:06,230 +المثال و كنت اشوف هل بدر افقلينا ال mobile nation + +23 +00:02:06,230 --> 00:02:12,190 +من الاخرين ام لا فمثلا ماشي رأيك ما انا اخد اخد + +24 +00:02:12,190 --> 00:02:16,610 +فيه اربعة مثلة و نشوف هل بدر افقلينا ال mobile + +25 +00:02:16,610 --> 00:02:20,030 +nation من الأول الي اتي التلاتةأو الأول هالبعد + +26 +00:02:20,030 --> 00:02:22,690 +راكبه ليليا قوم بانيشي من التلاتة اللي بعده، اللي + +27 +00:02:22,690 --> 00:02:28,030 +بتكوينها، مالاش مشكلة، أي واحد منهم يبقى دي واحد، + +28 +00:02:28,030 --> 00:02:34,370 +ماشي؟ فمثلا، لو جيت، قول، بدي أخدكي أربعة، بدي + +29 +00:02:34,370 --> 00:02:38,130 +أجيكي ناجلة، بأكل، و أز، إيه ليليا قوم بانيشي من + +30 +00:02:38,130 --> 00:02:43,430 +الآخرين، بيتبقى المفروض، لذلك، بدي أفترض إنه بدي + +31 +00:02:43,430 --> 00:02:47,070 +راكبه ليليا قوم بانيشي، دلوقت مش افترض يصرح و الله + +32 +00:02:47,070 --> 00:02:51,790 +يرحبالسابق رضّى صح بصبن عليه وانت غلط تجيب كلامنا + +33 +00:02:51,790 --> 00:02:55,110 +وكتبنا غلط وانت تجيب كلامنا وكتبنا غلط وانت تجيب + +34 +00:02:55,110 --> 00:02:55,230 +كلامنا غلط وانت تجيب كلامنا غلط وانت تجيب كلامنا + +35 +00:02:55,230 --> 00:02:58,830 +غلط وانت تجيب كلامنا غلط وانت تجيب كلامنا غلط وانت + +36 +00:02:58,830 --> 00:03:02,630 +تجيب كلامنا غلط وانت تجيب كلامنا غلط وانت تجيب + +37 +00:03:02,630 --> 00:03:04,190 +كلامنا غلط وانت تجيب كلامنا غلط وانت تجيب كلامنا + +38 +00:03:04,190 --> 00:03:11,170 +غلط وانت تجيب كلامنا غلط وانت تجيب + +39 +00:03:11,170 --> 00:03:17,190 +كلامنا غلط وانت تجيب كلامنا غلط و + +40 +00:03:20,950 --> 00:03:29,470 +يجب أن نعرف عليه تقريبا أنت K V1 زي B V2 زي C V3 + +41 +00:03:29,470 --> 00:03:38,130 +V7 اللي هو مين؟ فجهته من V1 في A يبقى A و 2A و + +42 +00:03:38,130 --> 00:03:48,510 +ناقص A زي كم جهته من V؟ B و ناقص 2B و Vزائد تلاتة + +43 +00:03:48,510 --> 00:03:57,390 +دولة بقوة C ناقص تلاتة C اتنين C وناقص C كله بدل + +44 +00:03:57,390 --> 00:04:03,410 +شامي بدل شامي بيه اربعة هي اربعة ليه هو اتنين و + +45 +00:04:03,410 --> 00:04:09,730 +اتنين و اتنين طيب هدول لو انجمعتهم يدفعوا سيناولنا + +46 +00:04:09,730 --> 00:04:18,860 +A زائد Bنقص ثلاثة C كمكونة اللغة كمكونة التانية 2A + +47 +00:04:18,860 --> 00:04:28,520 +نقص اتنين B زائد اتنين C كمكونة التالتة نقص A نقص + +48 +00:04:28,520 --> 00:04:37,780 +A زائد B نقص A زائد B نقص C كل هذا الكلام بتساوي + +49 +00:04:37,780 --> 00:04:45,000 +اتنين وزي وزينعمل من هذه المعادلة linear system + +50 +00:04:45,000 --> 00:04:51,840 +الـ linear system تبتعد A زائد B نقص ثلاثة C يساوي + +51 +00:04:51,840 --> 00:04:58,120 +اتنين المعادلة التانية اتنين A نقص اتنين B زي + +52 +00:04:58,120 --> 00:05:06,140 +اتنين C يساوي Zero المعادلة التالتة نقص A زائد B + +53 +00:05:06,140 --> 00:05:13,520 +نقص C يساوي Zeroيبقى هذا system و ال system هذا + +54 +00:05:13,520 --> 00:05:18,900 +معناه non-homogeneous ما هواش homogeneous يبقى + +55 +00:05:18,900 --> 00:05:25,260 +بناءً عليه تردد أعيد صياغة المعادلات هذه بالصياغة + +56 +00:05:25,260 --> 00:05:29,600 +التالية اتربت تالتة اتربت تالتة اتربت تالتة اتربت + +57 +00:05:29,600 --> 00:05:31,800 +تالتة اتربت تالتة اتربت تالتة اتربت تالتة اتربت + +58 +00:05:31,800 --> 00:05:37,340 +تالتة اتربت تالتة اتربت تالتة اتربت تالتة اتربت + +59 +00:05:37,340 --> 00:05:39,020 +تالتة اتربت تالتة اتربت تالتة اتربت تالتة اتربت + +60 +00:05:39,020 --> 00:05:41,050 +تالتة اتربت تالتة اتربت تالتة اتربت تالتة اتربت تو + +61 +00:05:41,050 --> 00:05:51,950 +هنا a-b زائد z يساوي zero هنا a-a زائد b زائد z + +62 +00:05:51,950 --> 00:05:57,850 +يساوي zero قضيت بقدر اجبح؟ اه لو جمالك مش اللي + +63 +00:05:57,850 --> 00:06:04,070 +فيحصل ادول مع السنة اه فالسطرين مضلش عندنا اللي + +64 +00:06:04,070 --> 00:06:13,360 +بينا بنات الا a زائد bمعقص ثلاثة C يساوي اتنين إذا + +65 +00:06:13,360 --> 00:06:19,660 +هذه معادلة كانت مجهولة في ثلاثة مجالين لا يمكن + +66 +00:06:19,660 --> 00:06:25,800 +نتركها في المعادلة هذه إلا إذا حصلت لنا قيمتين من + +67 +00:06:25,800 --> 00:06:30,080 +المجهولين اللي عندنا وجبنا قيمة المجهول الثالث في + +68 +00:06:30,080 --> 00:06:38,390 +دلالت هتين التيبتين فبعدين أقول لغاية لو كانال A + +69 +00:06:38,390 --> 00:06:48,790 +مثلا بدي سوى K1 وال .. وال .. وال C بدي سوى K2 + +70 +00:06:48,790 --> 00:06:58,370 +then بصير عشان كده K1 زائد B ناقص ثلاثة K2 بدي سوى + +71 +00:06:58,370 --> 00:07:05,930 +مان؟ بدي سوى ثلاث ومنها ال B اللي بديها اللي هي K2 + +72 +00:07:06,730 --> 00:07:16,750 +زائد تلاتة K2 ماقص K1 يبقى بداء عليك تجد قيم ال A + +73 +00:07:16,750 --> 00:07:25,570 +والB والC مش كلهم أصفر ومتاليه دول linearly يبقى + +74 +00:07:25,570 --> 00:07:37,570 +بداء على ال A والB and C are not zeroما دام not + +75 +00:07:37,570 --> 00:07:41,210 +zero إذا ال vectors هؤلاء ما لهم linearly + +76 +00:07:41,210 --> 00:07:54,330 +dependent يبقى هنا saw the vector اللي هو v4 is a + +77 +00:07:54,330 --> 00:08:01,910 +linear combination of + +78 +00:08:01,910 --> 00:08:05,330 +v1 وv2 + +79 +00:08:17,290 --> 00:08:25,270 +بالنظرية السابقة V1 + +80 +00:08:25,270 --> 00:08:30,850 +و V2 و V3 و V4 + +81 +00:08:32,980 --> 00:08:41,400 +linearly dependent وانتهينا من هذا المثال مثال + +82 +00:08:41,400 --> 00:08:48,060 +ثلاثة اعطي مثال ثلاثة + +83 +00:08:48,060 --> 00:08:52,780 +قبل ان نبدأ هل تستطيع ان تسأل اي سؤال هنا؟ هل + +84 +00:08:52,780 --> 00:08:56,540 +تستطيع ان تسأل اي سؤال في الكلام اللي قدامنا هذا؟ + +85 +00:08:56,540 --> 00:09:05,830 +واضح يعني؟ طب المثال الثالثبقول افترض ان P1 as a + +86 +00:09:05,830 --> 00:09:13,190 +function of F1 as a function of X بده يساوي واحد + +87 +00:09:13,190 --> 00:09:20,780 +صحيح وال F2 as a function of X بده يساوي ال Xوالـ + +88 +00:09:20,780 --> 00:09:29,160 +F3 as a function of X بده يساوي تلاتة ناقص X وكل + +89 +00:09:29,160 --> 00:09:39,880 +هذا موجود في capital P1 of X where حيث ال P1 as a + +90 +00:09:39,880 --> 00:09:46,140 +function of X هذه is the set of all polynomials is + +91 +00:09:46,140 --> 00:09:55,960 +the set ofall polynomials يبقى مجموعة كثيرات + +92 +00:09:55,960 --> 00:10:05,700 +الحدود of degree less than or equal to one less + +93 +00:10:05,700 --> 00:10:16,840 +than or equal to one السؤال هو is + +94 +00:10:24,240 --> 00:10:36,380 +السؤال هو is F1 و F2 and F3 are linearly dependent + +95 +00:10:36,380 --> 00:10:42,920 +or linearly independent هذا هو السؤال solution + +96 +00:10:50,190 --> 00:10:56,630 +يبقى يعطيني three functions موجودة في المجموعة أو + +97 +00:10:56,630 --> 00:11:03,530 +في ال vector space P1 of X مين P1 of X يبقى هو كل + +98 +00:11:03,530 --> 00:11:10,010 +ال polynomials of degree less than or equal to one + +99 +00:11:10,010 --> 00:11:14,510 +يعني مين يعني كل ال functions اللي من الدرجة + +100 +00:11:14,510 --> 00:11:18,790 +الأولى بزيدش عن الدرجة الأولىدرجة الأولى درجة + +101 +00:11:18,790 --> 00:11:22,810 +الصفرية ماشية كل اللي منه تحتها يعتبر functionيبقى + +102 +00:11:22,810 --> 00:11:26,570 +كل real number اللي خلقهم ربنا بقدر اعتبر كل واحدة + +103 +00:11:26,570 --> 00:11:31,170 +فيهم functions اجمع فيهم functions حط x معاهم + +104 +00:11:31,170 --> 00:11:35,150 +function اضرب x في نص في تلاتة اربعة في اتنين في + +105 +00:11:35,150 --> 00:11:38,030 +خمسين في عشرين في ناقصان اذا ايه اللي اخري يبقى + +106 +00:11:38,030 --> 00:11:42,570 +هذه كلها functions مختلفة موجودة وين في ال P1 of X + +107 +00:11:42,570 --> 00:11:48,890 +من هدول أخدت تلاتة التلاتة من اللي ال F1 يسوى واحد + +108 +00:11:48,890 --> 00:11:49,470 +صحية + +109 +00:11:55,550 --> 00:12:01,980 +هل التلاتة اللي موجودة في P1are linearly dependent + +110 +00:12:01,980 --> 00:12:06,200 +ولا linearly independent بقوله بسيطة إذا جدرت تكتب + +111 +00:12:06,200 --> 00:12:11,140 +واحد منهم بدلالة الأخرين يبقى على طول الخط بيكونوا + +112 +00:12:11,140 --> 00:12:14,820 +التلاتة linearly dependent بنص النظرية اللي + +113 +00:12:14,820 --> 00:12:18,480 +درسناها في المرة الماضية و اللي أعطينا عليها هى + +114 +00:12:18,480 --> 00:12:23,830 +المثال رقم اتنينبعدين بقول كويس يبقى أنا بدي أجي + +115 +00:12:23,830 --> 00:12:28,210 +لأي vector فيهم أشوف بقدر أكتبه بدلالة الآخرين أم + +116 +00:12:28,210 --> 00:12:31,570 +لا إذا كدرت كأنا بيها ماقدرناش بقول كفى الله + +117 +00:12:31,570 --> 00:12:35,740 +المؤمنين القتال يبقى ليس و لين يرضي من ذلكفبجي + +118 +00:12:35,740 --> 00:12:40,260 +بقول ماتي لو روحت أخدت ال F تلاتة of X يا بنات + +119 +00:12:40,260 --> 00:12:48,300 +يبقى ال F تلاتة of X هي مين؟ تلاتة ناقص X الآن هل + +120 +00:12:48,300 --> 00:12:53,700 +التلاتة ناقص X بقدر أكتبهم بدلالة ال two functions + +121 +00:12:53,700 --> 00:12:59,560 +هدول أم لا؟ بنقول الله أعلم تعالى نشوف يبقى هذه + +122 +00:12:59,560 --> 00:13:04,220 +بقدر أكتبها تلاتة في مين يا بنات؟تلاتة في واحد + +123 +00:13:04,220 --> 00:13:10,860 +تمام اللي بعد هذه بقدر اكتب زائد ناقص واحد في ال X + +124 +00:13:10,860 --> 00:13:17,920 +مظبوط؟ سويناش شيءيبقى هذا الكلام بده يساوي هاي + +125 +00:13:17,920 --> 00:13:22,700 +التلاتة اللي عندنا الواحد عبارة عن مين عن ال F1 + +126 +00:13:22,700 --> 00:13:30,820 +يبقى F1 of X زائد ناقص واحد ال X هي عبارة عن مين + +127 +00:13:30,820 --> 00:13:38,500 +عن F2 of Xيبقى قدرت اكتب ال F3 as a linear + +128 +00:13:38,500 --> 00:13:48,940 +combination من F1 و F2 يبقى هنا ال F3 of X as a + +129 +00:13:48,940 --> 00:13:55,580 +linear combination of + +130 +00:13:55,580 --> 00:14:00,840 +the two vectors + +131 +00:14:03,230 --> 00:14:13,250 +اللي هو ال F1 of X and F2 of X by the previous + +132 +00:14:14,850 --> 00:14:24,670 +Theorem بالنظرية السابقة ال F1 of X وال F2 of X + +133 +00:14:24,670 --> 00:14:33,490 +وال F3 of X are linearly dependent وانتهينا من + +134 +00:14:33,490 --> 00:14:34,590 +المثل + +135 +00:14:53,780 --> 00:14:59,860 +نعطي كمان مثال مثال + +136 +00:14:59,860 --> 00:15:09,040 +أربعة بيقول لـ let ال F1 of X بيساوي واحد زائد X + +137 +00:15:09,040 --> 00:15:20,260 +وال F2 of X يساوي واحد ناقص X تربيعوال F تلاتة of + +138 +00:15:20,260 --> 00:15:30,840 +X يسوى ال X تربية كل هذا موجود في ال P2 of X where + +139 +00:15:30,840 --> 00:15:39,500 +حيث ال P2 of X is the + +140 +00:15:39,500 --> 00:15:44,200 +set of all polynomials + +141 +00:16:01,000 --> 00:16:16,520 +السؤال هو is theVectors هل ال vectors F1 و F2 و F3 + +142 +00:16:16,520 --> 00:16:23,860 +are linearly dependent or linearly independent هذا + +143 +00:16:23,860 --> 00:16:26,720 +هو السؤال + +144 +00:16:40,110 --> 00:16:45,990 +نرجع لسؤالنا مرة ثانية ميعطيني تلاتة vectors أو + +145 +00:16:45,990 --> 00:16:52,250 +تلاتة functions f1 of x يساوي واحد زياد x f2 of x + +146 +00:16:52,250 --> 00:16:58,350 +يساوي واحد ناقص x تربيع f3 of x يساوي x تربيع كلهم + +147 +00:16:58,350 --> 00:17:04,160 +موجودات في ال P2 of xمن ال P2 of X يبقى كل ال + +148 +00:17:04,160 --> 00:17:09,100 +polynomials من الدرجة الثانية أو أقل من الدرجة + +149 +00:17:09,100 --> 00:17:12,160 +الثانية يعني من الدرجة الأولى ماشي من الدرجة + +150 +00:17:12,160 --> 00:17:17,040 +الصفرية ماشي لكن مايزيد عن الدرجة يعني بديش أشوف X + +151 +00:17:17,040 --> 00:17:21,880 +تكعيب فما فوق نهائي في أي vector من هذه ال vector + +152 +00:17:21,880 --> 00:17:26,620 +كله X تربيع ويرجع ممكن X تربيع ممكن X من الدرجة + +153 +00:17:26,620 --> 00:17:31,050 +الأولى وممكن ثابتيبقى function يعطيني هنا تلاتة + +154 +00:17:31,050 --> 00:17:36,410 +vectors F1 و F2 و F3 و بيسأل هل التلاتة دول + +155 +00:17:36,410 --> 00:17:41,870 +linearly dependent ولا linearly independent بقول + +156 +00:17:41,870 --> 00:17:46,730 +والله كويس إذا جدرنا نكتب واحد بدلالة الآخرين + +157 +00:17:46,730 --> 00:17:51,330 +الإتنين معناته دول linearly dependentماقدرنا يبقى + +158 +00:17:51,330 --> 00:17:56,370 +linearly independent تعالوا نشوف يبقى نفس الفكرة + +159 +00:17:56,370 --> 00:18:02,490 +تبع المثال السابق قبل قليل إذا بدي أفترض أني بقدر + +160 +00:18:02,490 --> 00:18:09,050 +أكتب واحد فيهم بدلالة من؟ بدلالة الآخرين يبقى هنا + +161 +00:18:09,050 --> 00:18:11,730 +حاجة أقوله هنا assume + +162 +00:18:14,840 --> 00:18:23,320 +مثلا f3 of x يبدو يساوي x تربية is a linear + +163 +00:18:23,320 --> 00:18:26,520 +combination + +164 +00:18:26,520 --> 00:18:31,880 +of + +165 +00:18:31,880 --> 00:18:44,610 +f1 of x and f2 of xThat is أي أن مثلًا A في ال F1 + +166 +00:18:44,610 --> 00:18:52,130 +of X زائد B في ال F2 of X بده يساوي ال F في 3 of X + +167 +00:18:52,130 --> 00:18:57,510 +مش هيك؟ هذا معنى أن F3 هي linear combination من + +168 +00:18:57,510 --> 00:19:05,400 +من؟ من اتنين الأخرينمعنى هذا الكلام ان ال A في ال + +169 +00:19:05,400 --> 00:19:11,620 +F1 الى يجداش يا بنات واحد زائد X زائد ال B ال F2 + +170 +00:19:11,620 --> 00:19:17,780 +واحد ناقص X تربيع بديه يسوى ال F تلاتة الهمين X + +171 +00:19:17,780 --> 00:19:26,440 +تربيعبدا فك هذه المعادلة بـ GA زائد AX زائد B ناقص + +172 +00:19:26,440 --> 00:19:33,010 +B X تربية كله بدل سوى من X تربيةالان بدي اعمل + +173 +00:19:33,010 --> 00:19:37,270 +مقارنة بين المعادلات في الطرفين والله قبل اعمل + +174 +00:19:37,270 --> 00:19:46,710 +مقارنة بدي اجمع الثوابت مع بعض a زائد b ال a x + +175 +00:19:46,710 --> 00:19:52,790 +لحالها مافيش غيرها السالب b x تربيه لحالها مافيش + +176 +00:19:52,790 --> 00:19:58,950 +غيرها بدي ساوي ال x تمري بتربيهيبقى بدي اقارن + +177 +00:19:58,950 --> 00:20:03,570 +المعاملات في الطرفين و comparing the coefficients + +178 +00:20:03,570 --> 00:20:08,970 +in both sides of the equation we get يبقى لو روحنا + +179 +00:20:08,970 --> 00:20:15,870 +اقارنها بنحصل على ايش على a زائد b بده يساوي zero + +180 +00:20:15,870 --> 00:20:21,850 +و بدنا نحصل على ان ال a بده يساوي zero و بدنا نحصل + +181 +00:20:21,850 --> 00:20:28,600 +على ان سالب b بده يساوي قداش واحدمن هذه بقدر اقول + +182 +00:20:28,600 --> 00:20:33,900 +ما يأتي ال a زائد ال b بده يساوي zero وال a بده + +183 +00:20:33,900 --> 00:20:42,060 +يساوي zero وال b تساوي قداش سالب واحدطيب بدي اخد + +184 +00:20:42,060 --> 00:20:48,380 +هجيب قيمة A وB بدي اشوف هل كلامي هذا صحيح ولا لأ + +185 +00:20:48,380 --> 00:20:55,100 +فبدي اعوض في المعادلة اللي فوق عن قيمة A وB واشوف + +186 +00:20:55,100 --> 00:20:59,880 +اذا والله النتج طلع ب zero يبقى كلامنا صحيح ودول + +187 +00:20:59,880 --> 00:21:05,250 +linearly dependentوانطلع كلامنا غلط يبقى فرضي غلط + +188 +00:21:05,250 --> 00:21:11,570 +وعكسه هو الصح تمام؟ يبقى بداشي اقول هذه بده تعطينا + +189 +00:21:11,570 --> 00:21:18,750 +المعادلة فوق ا بزيرو وال ب بزائد لسالب واحد بده + +190 +00:21:18,750 --> 00:21:24,370 +يسوي قداش؟ Zero هذا معناه ان سالب واحد بده يسوي + +191 +00:21:24,370 --> 00:21:30,860 +Zero مفقين؟يبقى كلام مش صحيح يبقى this is + +192 +00:21:30,860 --> 00:21:33,060 +impossible + +193 +00:21:35,290 --> 00:21:39,250 +Impossible لأن هؤلاء هم الـReal Numbers عادية لا + +194 +00:21:39,250 --> 00:21:42,970 +يمكن الـ0 في يوم من الأيام يكون مساويا للواحدة + +195 +00:21:42,970 --> 00:21:46,850 +الصحيحة مدام الـImpossible شو وصلنا لهذه الشغلة + +196 +00:21:46,850 --> 00:21:52,550 +الغلط الفرض اللي احنا غلط اذا الـF3 اللي يمكن ان + +197 +00:21:52,550 --> 00:21:57,750 +تكون Linear Combination من الـF1 وF2 يبقى التلاتة + +198 +00:21:57,750 --> 00:22:01,490 +هؤلاء Linearly + +199 +00:22:01,490 --> 00:22:11,000 +Independentيبقى هنا فقط الـ F تلاتة is not a + +200 +00:22:11,000 --> 00:22:14,240 +linear combination + +201 +00:22:17,920 --> 00:22:30,000 +of ال F1 and ال F2 هذا بده يعطينا ان ال F1 و F2 + +202 +00:22:30,000 --> 00:22:36,120 +and ال F3 are linearly independent + +203 +00:22:38,720 --> 00:22:44,240 +طيب أنا حليت السؤال على مين؟ على النظرية صح ولا + +204 +00:22:44,240 --> 00:22:49,420 +لا؟ لو أحد أجيها السؤال في الامتحانة ونسيت النظرية + +205 +00:22:49,420 --> 00:22:54,980 +وراحت قالت أنا بدي أفترض عندي ثوابة A وB وC A في + +206 +00:22:54,980 --> 00:23:01,120 +F1 زائد B في F2 زائد C في F3 وساوي Zero وطلعت أن + +207 +00:23:01,120 --> 00:23:05,960 +ال A تساوي ال B تساوي ال C تساوي ال Zero يبقى دوش + +208 +00:23:05,960 --> 00:23:12,190 +معناهإنه تلاتة linearly independent يبقى هذا good + +209 +00:23:12,190 --> 00:23:18,210 +exercise إليك إنك تتأكدي إنه التلاتة هذول linearly + +210 +00:23:18,210 --> 00:23:26,670 +independent بطريقتنا مين القديم هو كتب عندك حل هذا + +211 +00:23:26,670 --> 00:23:33,690 +السؤال عن طريق c1v1 + +212 +00:23:34,460 --> 00:23:44,940 +زايد C2V2 يعني C1F1 زايد C2F2 زايد C3F3 يساوي Zero + +213 +00:23:44,940 --> 00:23:54,800 +ومن ثم أثبتين ان C1 يساوي C2 يساوي C3 يساوي Zero + +214 +00:23:56,850 --> 00:24:01,210 +يبقى هذا good exercise لك والجواب هيو عندك لإن + +215 +00:24:01,210 --> 00:24:04,770 +هدول ما لهم لإن يعمل ال independent يعني لازم ال c + +216 +00:24:04,770 --> 00:24:09,830 +hat التلاتة يطلع عندك بأصفر تمام تمام + +217 +00:24:29,870 --> 00:24:40,710 +النظرية بتقول ما يأتي في RM بتقول + +218 +00:24:40,710 --> 00:24:54,690 +ال V1 و V2 و لغاية ال VN موجودة في ال RM النقطة + +219 +00:24:54,690 --> 00:25:10,210 +الأولى Fالـ N أكبر من الـ M then the elements V1 و + +220 +00:25:10,210 --> 00:25:19,250 +V2 و لغاية الـ N are linearly dependent نقطة ثانية + +221 +00:25:19,250 --> 00:25:28,270 +لو حدث إن الـ N ساوة الـ Mيبقى then the elements + +222 +00:25:28,270 --> 00:25:38,070 +V1 و V2 و VN هدول are linearly dependent if and + +223 +00:25:38,070 --> 00:25:47,770 +only if ال determinant لمين؟ لل V1 و V2 و لغاية ال + +224 +00:25:47,770 --> 00:25:58,200 +VN كل هذا الكلام كان يساوي Zeroكمان ملاحظة أخرى if + +225 +00:25:58,200 --> 00:26:09,540 +ال determinant لمن؟ لل V1 و V2 و لغاية ال VN لا + +226 +00:26:09,540 --> 00:26:14,360 +يساوي zero then + +227 +00:26:14,360 --> 00:26:26,920 +ال V1 و V2 و VN arelinearly independent كمان نظرية + +228 +00:26:26,920 --> 00:26:31,940 +بيقول + +229 +00:26:31,940 --> 00:26:41,520 +let each element of + +230 +00:26:41,520 --> 00:26:49,580 +v1 وv2 وvn of + +231 +00:26:50,620 --> 00:27:03,880 +a vector a space capital V ب a linear combination + +232 +00:27:03,880 --> 00:27:08,060 +linear + +233 +00:27:08,060 --> 00:27:16,420 +combination of the vectors of the + +234 +00:27:16,420 --> 00:27:29,070 +vectors U1 و U2ولغاية U M لغاية U M of ال vector + +235 +00:27:29,070 --> 00:27:41,570 +space V itself لو كانت ال M أقل من ال N then اللي + +236 +00:27:41,570 --> 00:27:51,590 +هو V 1 و V 2 و V N areLinearly Dependent + +237 +00:28:26,040 --> 00:28:32,920 +نرجع للنظرية الأولى نقرأ نظرية كويس و ندجج في كل + +238 +00:28:32,920 --> 00:28:39,040 +كلمة مكتوبة حتى نستطيع أن نفهمها و ربما نطرح بعض + +239 +00:28:39,040 --> 00:28:44,480 +التساؤلات بدنا الإجابة عليها النظرية بتقول ياخدلك + +240 +00:28:44,480 --> 00:28:49,340 +مجموعة من ال vector من V1 لغاية VN يبقى عددهم جداش + +241 +00:28:49,340 --> 00:28:57,910 +N من ال vectors موجودات في من؟فى RM مين هى RM؟ the + +242 +00:28:57,910 --> 00:29:03,530 +set of all M tuples يعني كل عنصر مكوّن من M من + +243 +00:29:03,530 --> 00:29:09,510 +المركبات يبقى انه M ممكن يتساوى و ممكن ميتساووش + +244 +00:29:09,510 --> 00:29:16,560 +صحيح ولا لأ؟ اه لأنه قلت هدول انه هدول M طيببقول + +245 +00:29:16,560 --> 00:29:22,320 +النقطة الأولى إذا كان ال N أكبر من M يعني عدد ال + +246 +00:29:22,320 --> 00:29:27,380 +vectors اللي أخدتهم أنا أكبر من عدد المركبات في ال + +247 +00:29:27,380 --> 00:29:31,040 +compound أكتر من عدد المركبات في العنصر الواحد + +248 +00:29:31,040 --> 00:29:35,360 +يعني أنا أخدت مثلا زي المثال اللي قبل الأخر هذا + +249 +00:29:35,360 --> 00:29:42,840 +أخدت أربع vectors موجودات في R3مظبوط يبقى اربعة كل + +250 +00:29:42,840 --> 00:29:46,220 +vector من تلت مراكبات موجودة في R3 + +251 +00:29:56,310 --> 00:29:59,950 +بقول إن حدث ذلك يبقى العناصر هذه linearly + +252 +00:29:59,950 --> 00:30:04,670 +dependent يبقى المثال قبل الأخر مثال يا بنات اللي + +253 +00:30:04,670 --> 00:30:09,750 +أخدناها في R3 أثبت أن V1 و V2 و V3 و V4 هم + +254 +00:30:09,750 --> 00:30:14,150 +linearly dependent لأنه أخدت واحد منهم لجته linear + +255 +00:30:14,150 --> 00:30:19,070 +combination من الأخرين إذا كان بإمكاني أحل هذا + +256 +00:30:19,070 --> 00:30:24,680 +السؤال كذلك بمين؟بالنظرية هذه صحيح ولا لأ وكان + +257 +00:30:24,680 --> 00:30:29,760 +بإمكان يحل نفس السؤال بأول مبادئ التعريف تبع + +258 +00:30:29,760 --> 00:30:33,500 +linearly dependent و linearly independent يبقى + +259 +00:30:33,500 --> 00:30:37,340 +السعر عندي بدل الطريقة تلاتة لحل السؤال بس للأسف + +260 +00:30:37,340 --> 00:30:42,560 +الشديد هذا الكلام مش في أي vector space بس في RM + +261 +00:30:43,200 --> 00:30:48,040 +يعني المكوّن من M تيوب المركبتين تلاتة اربعة خمسة + +262 +00:30:48,040 --> 00:30:52,600 +زي ما بدك مش اي vector هيجالك في R M يبقى احنا + +263 +00:30:52,600 --> 00:30:57,480 +بنشتغل داخل ال vector space R M فقط طيب خليني اسأل + +264 +00:30:57,480 --> 00:31:03,320 +السؤال التالي حد بتقدر تقول ليه لو كانت ال N أكبر + +265 +00:31:03,320 --> 00:31:07,800 +من ال M يبقى هدول linearly dependent مباشرة + +266 +00:31:12,890 --> 00:31:18,710 +خلّيني أطرح السؤال بطريقة تانية + +267 +00:31:18,710 --> 00:31:26,040 +خدي أمي بتلاتةيبقى كل عنصر في RM مكوّن من كده؟ من + +268 +00:31:26,040 --> 00:31:32,420 +three components تمام؟ بدي أخد أربعة vectors يبقى + +269 +00:31:32,420 --> 00:31:39,200 +صار عندي C1 وC2 وC3 وC4 لما أجي أعمل هدول linear + +270 +00:31:39,200 --> 00:31:45,390 +combination لهم بصير عندي عدد المعادلاتجد عدد + +271 +00:31:45,390 --> 00:31:51,730 +المجاهيل والله أكبر والله أقل مين + +272 +00:31:51,730 --> 00:31:56,620 +اللي أكبر؟عدد المجاهيل أكبر من عدد المعادلات مش + +273 +00:31:56,620 --> 00:32:02,680 +عدد المعادلات أكبر أنا عندي C1 وC2 وC3 وC4 لكن + +274 +00:32:02,680 --> 00:32:09,260 +ماعنديش إلا تلات معادلات إذا لا يمكن حل هذا ال + +275 +00:32:09,260 --> 00:32:13,800 +system إلا إذا فرط قيمة من عندي وبالتالي هدول + +276 +00:32:13,800 --> 00:32:14,720 +بصيروا إيش + +277 +00:32:21,720 --> 00:32:26,620 +بس هنا عندي عدد المجاهل أكبر من عدد المعادلات + +278 +00:32:26,620 --> 00:32:32,420 +وبالتالي لا يمكن حل هذه المعادلاتإلا إذا حطيت قيم + +279 +00:32:32,420 --> 00:32:38,520 +من عندى لمجهول أو لمجهولين أو لثلاثة حسب طبيعة من + +280 +00:32:38,520 --> 00:32:43,900 +حسب طبيعة المسألة وبالتالي ماهياش أسفار حطيت قيم + +281 +00:32:43,900 --> 00:32:48,520 +من عندى وليس بضرورة أسفار وبالتالي صار عندى عدد + +282 +00:32:48,520 --> 00:32:53,900 +لانهائي من الحلول لل homogeneous systemألا اندي + +283 +00:32:53,900 --> 00:32:58,820 +لأن الهوموجين الصسم على الأقل له حل هو مين هو الحل + +284 +00:32:58,820 --> 00:33:04,060 +الصفري إذا هدول linearly dependent يبقى عارف ما هو + +285 +00:33:04,060 --> 00:33:08,860 +السر طيب افترض ان عدد المعادلات يساوي عدد + +286 +00:33:08,860 --> 00:33:15,130 +المعادلات يعني ال N ساوة ال Mأنا عندي R3 أخد ثلاثة + +287 +00:33:15,130 --> 00:33:20,370 +vectors، عندي R4 أخد أربعة vectors، R5 أخد خمسة + +288 +00:33:20,370 --> 00:33:25,470 +vectors، تمام؟ يبقى لو الـN سوى الـM، يبقى هدول + +289 +00:33:25,470 --> 00:33:29,710 +بيكونوا linearly dependent، if and only في + +290 +00:33:29,710 --> 00:33:34,550 +الاتجاهين صحيحان، إذا كان الـdeterminant لهذه ال + +291 +00:33:34,550 --> 00:33:39,320 +vector يساوي 0، كيف؟ يعنييعني بدي اجي ال V1 و بدي + +292 +00:33:39,320 --> 00:33:45,560 +احطه كعمود هو موجود في RM يبقى الأفق يبقى اقدر + +293 +00:33:45,560 --> 00:33:48,780 +اكتبه عمود واخدنا هذا في ال chapter الماضي يبقى + +294 +00:33:48,780 --> 00:33:51,460 +بدي اكتب هذا العمود الأول العمود التاني التاني + +295 +00:33:51,460 --> 00:33:57,130 +واخد المحدد لهذه المصممة لازم المحدد يساوي قدرإذا + +296 +00:33:57,130 --> 00:34:00,450 +المحدد سوى Zero يبقى هدول Linearly Dependent + +297 +00:34:00,450 --> 00:34:03,810 +والعكس لو كانوا Linearly Dependent إيه جباري + +298 +00:34:03,810 --> 00:34:08,730 +المحدد هذا بده يسوى جداش Zero طب إيش رأيك تعالي + +299 +00:34:08,730 --> 00:34:16,270 +ننفل عبارة هذه ننفل عبارة يبقى لو كان هذا لا يسوى + +300 +00:34:16,270 --> 00:34:21,050 +Zeroفهدول إيش بدهم يكونوا؟ linearly independent + +301 +00:34:21,050 --> 00:34:25,610 +يبقى الملاحظة بتقول لو كانت دي determinant ماقلتش + +302 +00:34:25,610 --> 00:34:29,370 +if and واللي في فهد لبالك اه ماقلتش يبقى نفيتي + +303 +00:34:29,370 --> 00:34:35,030 +اتجاه فقط فباجي بقول لو كان هذا لا يساوي zero يبقى + +304 +00:34:35,030 --> 00:34:40,210 +هدول linearly independent وبالتالي كأنه قال اتفضل + +305 +00:34:40,210 --> 00:34:44,390 +هي طريقة أخرى للحكم على ال vectors هل هم linearly + +306 +00:34:44,390 --> 00:34:49,620 +dependentوالله linearly independent إذا باجي على + +307 +00:34:49,620 --> 00:34:53,300 +ال vectors اللي عندنا و بعملهم كمصفوفة باخد لها + +308 +00:34:53,300 --> 00:34:57,100 +المحدد طالع المحدد يساوي zero بجهته linearly + +309 +00:34:57,100 --> 00:35:01,240 +dependent طالع المحدد لا يساوي zero بجهته linearly + +310 +00:35:01,240 --> 00:35:05,800 +independent واضح هذه طبعا هعطيكي كذا مثال عليها + +311 +00:35:05,800 --> 00:35:10,820 +الآنالان بنجي للنظرية التانية بقول لو كان كل عنصر + +312 +00:35:10,820 --> 00:35:15,140 +في المجموعة هدول اللي موجودة في ال vector space B + +313 +00:35:15,140 --> 00:35:22,180 +كتبته ك linear combination من vectors أخرى في V + +314 +00:35:22,180 --> 00:35:30,000 +هدول عددهم N و هدول عددهم Mيبقى ال V هات غير ال U + +315 +00:35:30,000 --> 00:35:34,000 +هات غيرهم في الشكل و غيرهم في العدد كمان مش جات + +316 +00:35:34,000 --> 00:35:41,500 +بعض ايش بيقولي لو كانت ال M أقل من N يعني عدد ال + +317 +00:35:41,500 --> 00:35:47,680 +vectors هذول أكبر من عدد ال vectors هذول تمام؟ إن + +318 +00:35:47,680 --> 00:35:52,460 +حدث ذلك يبقى على طول الخط هذول الأولانيات بيكونوا + +319 +00:35:52,460 --> 00:35:57,770 +linearly dependentوالله هي فرضه فكرة كويسة وحنعطيك + +320 +00:35:57,770 --> 00:36:02,690 +الأمثلة عليها الآن كمان تبقى وحنبدأ نعطي أمثلة على + +321 +00:36:02,690 --> 00:36:08,070 +النظريتين الأولى كنا بنتحدث يا بنات بس على مين على + +322 +00:36:08,070 --> 00:36:14,510 +RM هنا مين مكان ال vector يكون ماحطيتش قيود عليه + +323 +00:36:14,510 --> 00:36:19,280 +ال vector space طلعي هنا قلت هدول وين؟في RM هدول + +324 +00:36:19,280 --> 00:36:23,840 +قلت وين في ال vector space في mean مكان يكون ليس + +325 +00:36:23,840 --> 00:36:28,980 +بالضرورة RM و اين ما ممكن يكون any another vector + +326 +00:36:28,980 --> 00:36:34,300 +space اي vector space اخر نبدأ ناخد بعض الأمثلة + +327 +00:36:34,300 --> 00:36:39,160 +على الكلام اللي احنا بنقول يبقى نبدأ ل example one + +328 +00:36:50,750 --> 00:36:56,910 +Determine whether the + +329 +00:36:56,910 --> 00:37:02,430 +following vectors + +330 +00:37:02,430 --> 00:37:07,170 +are + +331 +00:37:07,170 --> 00:37:15,660 +linearly dependent or linearly independentنمر ايه؟ + +332 +00:37:15,660 --> 00:37:22,280 +هذا السؤال الأول من الكتاب رقم C مواطيني V1 يساوي + +333 +00:37:22,280 --> 00:37:34,400 +2 و 1 و V2 يساوي 3 و 0 و V3 يساوي 1 و 4 + +334 +00:37:38,410 --> 00:37:42,670 +يبقى سؤال قال حدد لي ال vectors التالية هل + +335 +00:37:42,670 --> 00:37:47,630 +linearly dependent ولا linearly independent بسيطة + +336 +00:37:47,630 --> 00:37:52,630 +جدا انا بيعطيني ثلاثة vectors طب التلاتة vectors + +337 +00:37:52,630 --> 00:38:03,370 +وين موجودة تدريبا تار تو تمام يبقى solution ال + +338 +00:38:03,370 --> 00:38:12,340 +V1و ال V2 و ال V3 اللي ميعطينيهم موجودات في R2 ليش + +339 +00:38:12,340 --> 00:38:18,280 +ان كل واحد منهم عبارة عن two components طيب عدد ال + +340 +00:38:18,280 --> 00:38:24,920 +vector اللي خدتهم كده؟ تلاتة و عندنا هنا كده؟ يبقى + +341 +00:38:24,920 --> 00:38:33,170 +هذا بده يعطيني ان N تسوى تلاتة and Mتساوي قداش + +342 +00:38:33,170 --> 00:38:40,810 +اتنين يبقى هنا since بما ان ال N تساوي تلاتة اكبر + +343 +00:38:40,810 --> 00:38:47,090 +من ال M اللي يبدأ تساوي اتنين فباشي بقوله by the + +344 +00:38:47,090 --> 00:38:53,390 +first theorem من + +345 +00:38:53,390 --> 00:39:02,210 +نظرية الأولى اللي هو ال V واحد وال V اتنين andالـ + +346 +00:39:02,210 --> 00:39:09,350 +v3 are linearly dependent وانتهينا من المثل طيب + +347 +00:39:09,350 --> 00:39:13,490 +انت في الامتحان وجاكي سؤال زي هذا وماجعش في بالك + +348 +00:39:13,490 --> 00:39:17,370 +هالنظرية كيفيك تسويها بقول constant في الأول + +349 +00:39:17,370 --> 00:39:20,570 +constant في التاني constant في التالت يساوي zero + +350 +00:39:20,570 --> 00:39:26,190 +وبروح أجيب ال c1 و ال c2 و ال c3 انطلعوا بأسفار و + +351 +00:39:26,190 --> 00:39:30,640 +لن يطلعوا بأسفاربقول linearly independent ليش لن + +352 +00:39:30,640 --> 00:39:34,060 +يطلع عليهم هيهم linearly dependent هم يعني مرة + +353 +00:39:34,060 --> 00:39:36,400 +بيصيروا linearly independent ومرة linearly + +354 +00:39:36,400 --> 00:39:39,880 +independent مافيش independent مافيش إمكانية يا يا + +355 +00:39:39,880 --> 00:39:43,820 +linearly independent يا linearly independent مافيش + +356 +00:39:43,820 --> 00:39:49,070 +فادةطيب إذا بناءنا عليه هيطلع عندك ان C1 وC2 وC3 + +357 +00:39:49,070 --> 00:39:54,110 +not all zero يعني هذا check لو بدك تتأكد ان كلامنا + +358 +00:39:54,110 --> 00:39:58,130 +هذا صح ولا غلط حابب good exercises لك حابب ماتكيش + +359 +00:39:58,130 --> 00:40:02,510 +بلاش مافيش إجبار يعني في هذه الحالة يبقى مش هيتأكد + +360 +00:40:02,510 --> 00:40:09,580 +هدول nearly dependent نيجي نمر بيه من السؤالنبرمى + +361 +00:40:09,580 --> 00:40:15,440 +من السؤال اللى هو السؤال الاول رقم G السؤال الاول + +362 +00:40:15,440 --> 00:40:27,570 +رقم G بيقول V واحد يساوي اتنين وسالب واحد واحدو V2 + +363 +00:40:27,570 --> 00:40:41,590 +بده يساوي 2-3-2 و V3 بده يساوي 2 3 7 و هدول كلهم + +364 +00:40:41,590 --> 00:40:47,210 +موجودة هنا في R3 بده أشوف هل هدول are linearly + +365 +00:40:47,210 --> 00:40:51,930 +dependent ولا linearly independent كام vector + +366 +00:40:51,930 --> 00:41:00,680 +هدول؟الموجودات مين؟ يبقى N تساوي M مظبوط يبقى هنا + +367 +00:41:00,680 --> 00:41:07,500 +بقوله solution يبقى هنا ال N تساوي ال M تساوي + +368 +00:41:07,500 --> 00:41:13,220 +التلاتة برجع للنظرية بيقول إذا عندك N تساوي M عشان + +369 +00:41:13,220 --> 00:41:18,110 +تحكم linearly dependent بدك تروح تاخد مين؟الـ + +370 +00:41:18,110 --> 00:41:22,710 +Determinant تبع الـ V1 والـ V2 والـ V3 يبقى بناءً + +371 +00:41:22,710 --> 00:41:29,350 +عليه بدي أجي أخد الـ Determinant لمين؟ للـ V1 والـ + +372 +00:41:29,350 --> 00:41:35,830 +V2 والـ V3 واللي هو بده يساوي المحدد باجي لـ V1 يا + +373 +00:41:35,830 --> 00:41:42,720 +ماناته و بكتب زي ما هو 2 سالب 1 1V2 هو العمود + +374 +00:41:42,720 --> 00:41:49,580 +التاني اتنين سالب تلاتة سالب اتنين V تلاتة اتنين + +375 +00:41:49,580 --> 00:41:55,140 +تلاتة سبعة بالشكل اللي عندنا هو Y بالساوية بدا فك + +376 +00:41:55,140 --> 00:42:01,140 +المحدد باستخدام عناصر اي صفة او اي عمود عندنا + +377 +00:42:01,140 --> 00:42:05,840 +فمثلالو جيت قولت بدي أفكه باستخدام عناصر الصف + +378 +00:42:05,840 --> 00:42:12,280 +الأول يبقى أي اتنين فيه قشط بصفه عموده بصير سالب + +379 +00:42:12,280 --> 00:42:19,400 +واحد وعشرين زائد ستة يبقى سالب واحد وعشرين زائد + +380 +00:42:19,400 --> 00:42:24,690 +ستةهيو بالسالب وهذا بيصير بالموجب حسب قاعدة + +381 +00:42:24,690 --> 00:42:30,650 +الإشارات بسالب اتنين فيه اشط بصفه عموده يبقى ناقص + +382 +00:42:30,650 --> 00:42:37,110 +سبعة ناقص تلاتة يبقى ناقص سبعة ناقص تلاتة حسب + +383 +00:42:37,110 --> 00:42:42,150 +قاعدة الإشارات اتنين بالموجب اشط بصفه عموده يبقى + +384 +00:42:42,150 --> 00:42:48,470 +اتنين زائد تلاتة اتنين زائد تلاتة هذا الكلام بده + +385 +00:42:48,470 --> 00:42:53,090 +يساويستة بده اشيل منهم سالب واحد وعشرين ويظل سالب + +386 +00:42:53,090 --> 00:42:59,770 +خمستاشر فى اتنين بسالب تلاتين هذا سالب عشرة فى + +387 +00:42:59,770 --> 00:43:06,490 +سالب اتنين بزايد عشرين هذا خمسة فى اتنين بزايد + +388 +00:43:06,490 --> 00:43:13,110 +عشرة قداش الناتج Zero ممتاز جدا جالى اذا انتوا + +389 +00:43:13,110 --> 00:43:20,630 +ساوي م المحدد يساوي Zero يبجى هدول بقى لهميبقى هنا + +390 +00:43:20,630 --> 00:43:31,070 +باجي بقوله by the first theorem part + +391 +00:43:31,070 --> 00:43:35,190 +الي هو two الجزء الثاني + +392 +00:43:38,490 --> 00:43:47,990 +إن الـ V1 والـ V2 والـ V3 are linearly dependent + +393 +00:43:47,990 --> 00:43:51,750 +هذه + +394 +00:43:51,750 --> 00:43:56,030 +نمرة V من السؤال، نروح لنمرة C + +395 +00:44:10,930 --> 00:44:23,370 +نمرى C بيقول V1 تساوي تلاتة واحد واحد و V2 تساوي + +396 +00:44:23,370 --> 00:44:33,770 +اتنين وسالب واحد وخمسة و V3 يساوي اربعة وزيرو + +397 +00:44:33,770 --> 00:44:42,420 +وسالب تلاتةوكل هؤلاء موجودين في R3 نرى هل هؤلاء + +398 +00:44:42,420 --> 00:44:47,420 +Linearly Dependent او Linearly Independent اذا نحن + +399 +00:44:47,420 --> 00:44:50,760 +لا نتكلم عن نظرية ثانية لازم نكون في نفس main + +400 +00:44:50,760 --> 00:44:55,480 +النظرية الأولى ليش؟ النظرية الأولى على R to the + +401 +00:44:55,480 --> 00:45:02,460 +power M بقول كويس يبقى انا عند ال N يسوى main يسوى + +402 +00:45:02,460 --> 00:45:07,090 +ال Mقال لي لما ال N يساوي N بدك تتكلم عن المحدد + +403 +00:45:07,090 --> 00:45:11,610 +إذا المحدد يساوي Zero يبقى هدول Linearly Dependent + +404 +00:45:11,610 --> 00:45:17,230 +وإذا المحدد لا يساوي Zero يبقى هدول Linearly + +405 +00:45:17,230 --> 00:45:18,210 +Independent + +406 +00:45:23,880 --> 00:45:27,780 +يبقى بداجي هنا شوف هل هدول linearly dependent و + +407 +00:45:27,780 --> 00:45:32,460 +الله linearly independent يبقى بناء عليه بقوله + +408 +00:45:32,460 --> 00:45:39,520 +solution احنا عندنا بلقت هنا ان ال N تساوي ال M + +409 +00:45:39,520 --> 00:45:46,080 +تساوي 3 اذا بناء عليه بدي اروح اخد ال determinant + +410 +00:45:46,080 --> 00:45:54,910 +لل V1 و V2 و V3 اللي هو المحددV1 هو تلاتة واحد + +411 +00:45:54,910 --> 00:46:03,050 +واحد V2 هو اتنين اتنين ناقص واحد خمسة V3 هو اربع + +412 +00:46:03,050 --> 00:46:11,990 +زير سالب تلاتةيبقى هذا المحدد يابروح أفكه باستخدام + +413 +00:46:11,990 --> 00:46:19,490 +عناصر الصف الثاني أو العمود الثالث سياب يبقى لو + +414 +00:46:19,490 --> 00:46:24,930 +جيت أفكه باستخدام عناصر العمود التالت مثلايبقى هذا + +415 +00:46:24,930 --> 00:46:30,450 +الكلام بده يساوي أربعة فيه أشط بصفه عموده بيصير + +416 +00:46:30,450 --> 00:46:37,050 +خمسة زائد واحد خمسة زائد واحد نيجي لبعده ناقص Zero + +417 +00:46:37,050 --> 00:46:42,610 +في محدد Zero مع السلامة اللي بعده ناقص تلاتة كما + +418 +00:46:42,610 --> 00:46:47,490 +هو لإن الشرط في الأصل موجب أشط بصفه عموده بيصير + +419 +00:46:47,490 --> 00:46:56,360 +سالب تلاتة سالب اتنين سالب تلاتة سالب اتنين5 1 6 4 + +420 +00:46:56,360 --> 00:47:08,960 +24 5 5 3 15 39 + +421 +00:47:08,960 --> 00:47:13,760 +39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 + +422 +00:47:13,760 --> 00:47:14,020 +39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 + +423 +00:47:14,020 --> 00:47:21,220 +39 39 39 39 39 39 39 + +424 +00:47:21,220 --> 00:47:21,280 +39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 + +425 +00:47:21,280 --> 00:47:27,740 +9 9 9 9 9 9 9 9يبقى هنا صح V1 و V2 و V3 are + +426 +00:47:27,740 --> 00:47:33,500 +linearly independent و ليسوا linearly dependent + +427 +00:47:33,500 --> 00:47:39,660 +هذا طبعا هو المثال الأول بدنا نروح الآن للمثال + +428 +00:47:39,660 --> 00:47:44,360 +الثاني المثال الثاني الحقيقي بياخد وقت فأقرا أنه + +429 +00:47:44,360 --> 00:47:48,760 +أجيله للمحاضرة تبعت بعد الظهر ان شاء الله تعالى + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/0Tykoh4qs08_raw.json b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/0Tykoh4qs08_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..053160754b412065994fe60ae2b3a92d8cc27931 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/0Tykoh4qs08_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 130, "start": 0.0, "end": 1.3, "text": "موسيقى", 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"text": "بناء عليه أصبحت المسألة على الشكل التالي", "tokens": [3555, 1863, 16606, 47356, 5551, 9381, 3555, 33753, 9673, 3794, 10721, 37977, 15844, 25124, 28820, 16712, 6027, 1829], "avg_logprob": -0.16067023496878774, "compression_ratio": 1.088235294117647, "no_speech_prob": 0.0, "words": [{"start": 2202.61, "end": 2203.55, "word": "بناء", "probability": 0.8307291666666666}, {"start": 2203.55, "end": 2204.33, "word": " عليه", "probability": 0.9052734375}, {"start": 2204.33, "end": 2205.25, "word": " أصبحت", "probability": 0.77459716796875}, {"start": 2205.25, "end": 2205.95, "word": " المسألة", "probability": 0.920166015625}, {"start": 2205.95, "end": 2206.17, "word": " على", "probability": 0.7724609375}, {"start": 2206.17, "end": 2206.89, "word": " الشكل", "probability": 0.862548828125}, {"start": 2206.89, "end": 2207.77, "word": " التالي", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 96, "seek": 224581, "start": 2220.95, "end": 2245.81, "text": "يبقى أصبحت الـ X of S X 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تمانية على تلاتة في جداش في واحد على s square زائد اربع", "tokens": [7649, 47395, 1829, 8315, 9154, 11296, 2423, 7649, 2423, 269, 4724, 4018, 23032, 9640, 2655, 7251, 3555, 4587, 7578, 2423, 274, 4724, 46811, 7649, 10632, 15844, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 46811, 7649, 10632, 15844, 6055, 1211, 9307, 3660, 8978, 10874, 3215, 33599, 8978, 36764, 24401, 15844, 262, 3732, 30767, 16373, 3215, 1975, 25513, 3615], "avg_logprob": -0.29498921180593557, "compression_ratio": 1.5877862595419847, "no_speech_prob": 0.0, "words": [{"start": 2246.38, "end": 2247.22, "word": "انتهينا", "probability": 0.61932373046875}, {"start": 2247.22, "end": 2247.56, "word": " منها", "probability": 0.783203125}, {"start": 2247.56, "end": 2248.56, "word": " الان", "probability": 0.606201171875}, {"start": 2248.56, "end": 2249.08, "word": " ال", "probability": 0.69384765625}, {"start": 2249.08, "end": 2249.4, "word": " c", "probability": 0.1624755859375}, {"start": 2249.4, "end": 2249.68, "word": " 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"probability": 0.9130859375}, {"start": 2726.16, "end": 2726.48, "word": " هي", "probability": 0.8369140625}, {"start": 2726.48, "end": 2727.1, "word": " و", "probability": 0.640625}, {"start": 2727.1, "end": 2727.42, "word": " بيبقى", "probability": 0.664453125}, {"start": 2727.42, "end": 2727.88, "word": " عندي", "probability": 0.6539306640625}, {"start": 2727.88, "end": 2728.74, "word": " واحد", "probability": 0.978271484375}, {"start": 2728.74, "end": 2729.7, "word": " على", "probability": 0.6845703125}, {"start": 2729.7, "end": 2730.34, "word": " S", "probability": 0.9130859375}, {"start": 2730.34, "end": 2731.12, "word": " square", "probability": 0.36572265625}, {"start": 2731.12, "end": 2731.72, "word": " في", "probability": 0.7763671875}, {"start": 2731.72, "end": 2732.18, "word": " S", "probability": 0.9501953125}, {"start": 2732.18, "end": 2733.18, "word": " ناقص", "probability": 0.9815673828125}, {"start": 2733.18, "end": 2733.84, "word": " واحد", "probability": 0.989013671875}, {"start": 2733.84, "end": 2734.4, "word": " في", "probability": 0.9775390625}, {"start": 2734.4, "end": 2734.96, "word": " S", "probability": 0.9892578125}, {"start": 2734.96, "end": 2736.16, "word": " زائد", "probability": 0.9619140625}, {"start": 2736.16, "end": 2736.8, "word": " واحد", "probability": 0.989013671875}, {"start": 2736.8, "end": 2737.68, "word": " بالشكل", "probability": 0.8693033854166666}, {"start": 2737.68, "end": 2737.88, "word": " اللي", "probability": 0.97802734375}, {"start": 2737.88, "end": 2738.3, "word": " عندنا", "probability": 0.771728515625}, {"start": 2738.3, "end": 2740.46, "word": " اه", "probability": 0.4561767578125}, {"start": 2740.46, "end": 2740.74, "word": " بدنا", "probability": 0.652587890625}, {"start": 2740.74, "end": 2741.1, "word": " partial", "probability": 0.96142578125}, {"start": 2741.1, "end": 2741.68, "word": " fraction", "probability": 0.91357421875}, {"start": 2741.68, "end": 2742.3, "word": " هذه", "probability": 0.74462890625}], "temperature": 1.0}, {"id": 118, "seek": 276134, "start": 2742.96, "end": 2761.34, "text": "ولا لأ يبقى بدنا نبدأ نحسب ال part في ال fraction يبقى أخر ما توصلنا إليه هو ال X of S يسوى S على S square minus ال one وديك S square مظبوط تمام مئة مية المية", "tokens": [12610, 995, 5296, 10721, 7251, 3555, 4587, 7578, 47525, 8315, 8717, 44510, 10721, 8717, 5016, 35457, 2423, 644, 8978, 2423, 14135, 7251, 3555, 4587, 7578, 5551, 34740, 19446, 33427, 36520, 8315, 11933, 20292, 3224, 31439, 2423, 1783, 295, 318, 7251, 3794, 2407, 7578, 318, 15844, 318, 3732, 3175, 2423, 472, 4032, 16254, 4117, 318, 3732, 3714, 19913, 3555, 2407, 9566, 46811, 10943, 3714, 19986, 3660, 3714, 10632, 9673, 10632], "avg_logprob": -0.31986607228006636, "compression_ratio": 1.4260355029585798, "no_speech_prob": 0.0, "words": [{"start": 2742.96, "end": 2743.28, "word": "ولا", "probability": 0.5302734375}, {"start": 2743.28, "end": 2743.86, "word": " لأ", "probability": 0.814697265625}, {"start": 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2748.42, "end": 2749.62, "word": " توصلنا", "probability": 0.9314778645833334}, {"start": 2749.62, "end": 2750.74, "word": " إليه", "probability": 0.66845703125}, {"start": 2750.74, "end": 2750.94, "word": " هو", "probability": 0.97412109375}, {"start": 2750.94, "end": 2751.12, "word": " ال", "probability": 0.62353515625}, {"start": 2751.12, "end": 2751.54, "word": " X", "probability": 0.7177734375}, {"start": 2751.54, "end": 2751.98, "word": " of", "probability": 0.81298828125}, {"start": 2751.98, "end": 2752.42, "word": " S", "probability": 0.85498046875}, {"start": 2752.42, "end": 2753.52, "word": " يسوى", "probability": 0.8458251953125}, {"start": 2753.52, "end": 2753.94, "word": " S", "probability": 0.892578125}, {"start": 2753.94, "end": 2754.78, "word": " على", "probability": 0.7724609375}, {"start": 2754.78, "end": 2755.22, "word": " S", "probability": 0.9384765625}, {"start": 2755.22, "end": 2755.72, "word": " square", "probability": 0.259521484375}, {"start": 2755.72, "end": 2756.28, "word": " minus", "probability": 0.8740234375}, {"start": 2756.28, "end": 2756.68, "word": " ال", "probability": 0.3525390625}, {"start": 2756.68, "end": 2756.92, "word": " one", "probability": 0.638671875}, {"start": 2756.92, "end": 2757.72, "word": " وديك", "probability": 0.6571044921875}, {"start": 2757.72, "end": 2758.0, "word": " S", "probability": 0.91357421875}, {"start": 2758.0, "end": 2758.62, "word": " square", "probability": 0.638671875}, {"start": 2758.62, "end": 2759.9, "word": " مظبوط", "probability": 0.95283203125}, {"start": 2759.9, "end": 2760.42, "word": " تمام", "probability": 0.9892578125}, {"start": 2760.42, "end": 2760.66, "word": " مئة", "probability": 0.7188313802083334}, {"start": 2760.66, "end": 2760.98, "word": " مية", "probability": 0.45654296875}, {"start": 2760.98, "end": 2761.34, "word": " المية", "probability": 0.643310546875}], "temperature": 1.0}, {"id": 119, "seek": 279169, "start": 2761.95, "end": 2791.69, "text": "طب خلّينا نشوف هذه اللي هي الأولى نعمل ال partial fraction و بعدين بنشوف التاني نشوف الكبيرة هذه يبقى واحد على S square في S minus ال one في S plus one يسوى S square يجب لزمنا A S زائد B زائد S ناقص واحد C زائد S زائد واحد يبقى D", "tokens": [9566, 3555, 16490, 1211, 11703, 9957, 995, 8717, 8592, 38688, 29538, 13672, 1829, 39896, 16247, 12610, 7578, 8717, 25957, 1211, 2423, 14641, 14135, 4032, 39182, 9957, 44945, 8592, 38688, 16712, 7649, 1829, 8717, 8592, 38688, 33251, 3555, 48923, 29538, 7251, 3555, 4587, 7578, 36764, 24401, 15844, 318, 3732, 8978, 318, 3175, 2423, 472, 8978, 318, 1804, 472, 7251, 3794, 2407, 7578, 318, 3732, 7251, 7435, 3555, 5296, 11622, 2304, 8315, 316, 318, 30767, 16373, 3215, 363, 30767, 16373, 3215, 318, 8717, 995, 4587, 9381, 36764, 24401, 383, 30767, 16373, 3215, 318, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 413], "avg_logprob": -0.2388173962632815, "compression_ratio": 1.6777251184834123, "no_speech_prob": 0.0004639625549316406, "words": [{"start": 2761.95, "end": 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2766.95, "end": 2767.33, "word": " بعدين", "probability": 0.872314453125}, {"start": 2767.33, "end": 2767.77, "word": " بنشوف", "probability": 0.8663736979166666}, {"start": 2767.77, "end": 2768.07, "word": " التاني", "probability": 0.68212890625}, {"start": 2768.07, "end": 2768.41, "word": " نشوف", "probability": 0.813232421875}, {"start": 2768.41, "end": 2769.01, "word": " الكبيرة", "probability": 0.9669596354166666}, {"start": 2769.01, "end": 2769.37, "word": " هذه", "probability": 0.69482421875}, {"start": 2769.37, "end": 2770.51, "word": " يبقى", "probability": 0.971435546875}, {"start": 2770.51, "end": 2771.15, "word": " واحد", "probability": 0.809814453125}, {"start": 2771.15, "end": 2771.87, "word": " على", "probability": 0.72705078125}, {"start": 2771.87, "end": 2772.41, "word": " S", "probability": 0.412109375}, {"start": 2772.41, "end": 2773.05, "word": " square", "probability": 0.27099609375}, {"start": 2773.05, "end": 2773.73, "word": " في", "probability": 0.64599609375}, {"start": 2773.73, "end": 2774.11, "word": " S", "probability": 0.908203125}, {"start": 2774.11, "end": 2774.91, "word": " minus", "probability": 0.8369140625}, {"start": 2774.91, "end": 2775.27, "word": " ال", "probability": 0.8818359375}, {"start": 2775.27, "end": 2775.51, "word": " one", "probability": 0.7685546875}, {"start": 2775.51, "end": 2776.11, "word": " في", "probability": 0.953125}, {"start": 2776.11, "end": 2776.49, "word": " S", "probability": 0.95849609375}, {"start": 2776.49, "end": 2776.99, "word": " plus", "probability": 0.94287109375}, {"start": 2776.99, "end": 2777.75, "word": " one", "probability": 0.953125}, {"start": 2777.75, "end": 2778.97, "word": " يسوى", "probability": 0.8077392578125}, {"start": 2778.97, "end": 2779.43, "word": " S", "probability": 0.9775390625}, {"start": 2779.43, "end": 2780.11, "word": " square", "probability": 0.64306640625}, {"start": 2780.11, "end": 2780.77, "word": " يجب", "probability": 0.7447102864583334}, {"start": 2780.77, "end": 2781.33, "word": " لزمنا", "probability": 0.54681396484375}, {"start": 2781.33, "end": 2781.81, "word": " A", "probability": 0.423828125}, {"start": 2781.81, "end": 2782.25, "word": " S", "probability": 0.8525390625}, {"start": 2782.25, "end": 2782.95, "word": " زائد", "probability": 0.8758138020833334}, {"start": 2782.95, "end": 2783.29, "word": " B", "probability": 0.95166015625}, {"start": 2783.29, "end": 2784.43, "word": " زائد", "probability": 0.9518229166666666}, {"start": 2784.43, "end": 2785.35, "word": " S", "probability": 0.9384765625}, {"start": 2785.35, "end": 2786.19, "word": " ناقص", "probability": 0.963134765625}, {"start": 2786.19, "end": 2786.77, "word": " واحد", "probability": 0.98828125}, {"start": 2786.77, "end": 2787.29, "word": " C", "probability": 0.85986328125}, {"start": 2787.29, "end": 2788.55, "word": " زائد", "probability": 0.9638671875}, {"start": 2788.55, "end": 2789.09, "word": " S", "probability": 0.9892578125}, {"start": 2789.09, "end": 2789.85, "word": " زائد", "probability": 0.9830729166666666}, {"start": 2789.85, "end": 2790.49, "word": " واحد", "probability": 0.977294921875}, {"start": 2790.49, "end": 2791.39, "word": " يبقى", "probability": 0.9864501953125}, {"start": 2791.39, "end": 2791.69, "word": " D", "probability": 0.78125}], "temperature": 1.0}, {"id": 120, "seek": 279235, "start": 2792.03, "end": 2792.35, "text": "أحسنت", "tokens": [10721, 5016, 3794, 29399], "avg_logprob": -1.2625, "compression_ratio": 0.5263157894736842, "no_speech_prob": 0.0012454986572265625, "words": [{"start": 2792.03, "end": 2792.35, "word": "أحسنت", "probability": 0.35870361328125}], "temperature": 1.0}, {"id": 121, "seek": 282181, "start": 2792.51, "end": 2821.81, "text": "أو الواحد بده يساوي AS زائد ال B ال AS زائد ال B في مين؟ في ال S square minus ال one اللي هو حاصل ضربهما زائد C S square في S plus one زائد D S square في S minus ال one", "tokens": [10721, 2407, 2423, 14407, 24401, 47525, 3224, 7251, 3794, 995, 45865, 7469, 30767, 16373, 3215, 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"probability": 0.9645182291666666}, {"start": 172.85, "end": 173.09, "word": " من", "probability": 0.97705078125}, {"start": 173.09, "end": 173.51, "word": " هذه", "probability": 0.96484375}, {"start": 173.51, "end": 174.69, "word": " المعادلات", "probability": 0.990234375}, {"start": 174.69, "end": 175.59, "word": " التي", "probability": 0.32666015625}, {"start": 175.59, "end": 175.89, "word": " هي", "probability": 0.4638671875}, {"start": 175.89, "end": 177.13, "word": " T²", "probability": 0.4365234375}, {"start": 177.13, "end": 179.57, "word": " D²", "probability": 0.56121826171875}, {"start": 179.57, "end": 180.43, "word": " X", "probability": 0.6474609375}, {"start": 180.43, "end": 181.51, "word": " على", "probability": 0.482666015625}, {"start": 181.51, "end": 183.61, "word": " DT²", "probability": 0.77294921875}], "temperature": 1.0}, {"id": 8, "seek": 20699, "start": 202.59, "end": 206.99, "text": "لو نظرت لهذه المعادلة من المفقود", "tokens": [1211, 2407, 8717, 19913, 43500, 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"end": 119.24, "text": "فبقى بقول اللى كنا اللى بدنابه الين هو اللى بدنابه المرة اللى فاتت و اللى قبلها فقولنا افترض ان E و Star X هو عبارة عن حل المعادلة لرقم Star جيبنا المشتقة الأولى و التانية و التالتة و الرابعة أنونية و عوضنا في المعادلة و اختصرنا", "tokens": [5172, 3555, 4587, 7578, 4724, 39648, 13672, 7578, 9122, 8315, 13672, 7578, 47525, 8315, 3555, 3224, 2423, 9957, 31439, 13672, 7578, 47525, 8315, 3555, 3224, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 4032, 13672, 7578, 12174, 36150, 11296, 6156, 39648, 8315, 1975, 5172, 2655, 43042, 16472, 462, 4032, 5705, 1783, 31439, 6225, 3555, 9640, 3660, 18871, 11331, 1211, 9673, 3615, 18513, 37977, 5296, 2288, 4587, 2304, 5705, 10874, 1829, 3555, 8315, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 4032, 16712, 7649, 10632, 4032, 16712, 6027, 2655, 3660, 4032, 34892, 16758, 27884, 14739, 11536, 10632, 4032, 6225, 2407, 11242, 8315, 8978, 9673, 3615, 18513, 37977, 4032, 1975, 46456, 9381, 2288, 8315], "avg_logprob": -0.21973536492468002, "compression_ratio": 2.025252525252525, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 103.42, "end": 104.04, "word": "فبقى", "probability": 0.4923095703125}, {"start": 104.04, "end": 104.4, "word": " بقول", "probability": 0.66748046875}, {"start": 104.4, "end": 104.64, "word": " اللى", "probability": 0.729736328125}, {"start": 104.64, "end": 104.9, "word": " كنا", "probability": 0.771728515625}, {"start": 104.9, "end": 105.28, "word": " اللى", "probability": 0.912841796875}, {"start": 105.28, "end": 105.86, "word": " بدنابه", "probability": 0.853515625}, {"start": 105.86, "end": 106.08, "word": " الين", "probability": 0.38604736328125}, {"start": 106.08, "end": 106.32, "word": " هو", "probability": 0.94384765625}, {"start": 106.32, "end": 106.54, "word": " اللى", "probability": 0.976806640625}, {"start": 106.54, "end": 107.06, "word": " بدنابه", "probability": 0.9847412109375}, {"start": 107.06, "end": 107.36, "word": " المرة", "probability": 0.924560546875}, {"start": 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"word": " هو", "probability": 0.87451171875}, {"start": 111.26, "end": 111.68, "word": " عبارة", "probability": 0.9794921875}, {"start": 111.68, "end": 111.84, "word": " عن", "probability": 0.98583984375}, {"start": 111.84, "end": 112.16, "word": " حل", "probability": 0.8857421875}, {"start": 112.16, "end": 112.76, "word": " المعادلة", "probability": 0.938720703125}, {"start": 112.76, "end": 113.3, "word": " لرقم", "probability": 0.75885009765625}, {"start": 113.3, "end": 113.82, "word": " Star", "probability": 0.78369140625}, {"start": 113.82, "end": 114.5, "word": " جيبنا", "probability": 0.9287109375}, {"start": 114.5, "end": 115.04, "word": " المشتقة", "probability": 0.8370361328125}, {"start": 115.04, "end": 115.44, "word": " الأولى", "probability": 0.9274088541666666}, {"start": 115.44, "end": 115.5, "word": " و", "probability": 0.377197265625}, {"start": 115.5, "end": 115.96, "word": " التانية", "probability": 0.9178059895833334}, {"start": 115.96, "end": 116.08, "word": " و", "probability": 0.943359375}, {"start": 116.08, "end": 116.46, "word": " التالتة", "probability": 0.9605712890625}, {"start": 116.46, "end": 116.56, "word": " و", "probability": 0.95556640625}, {"start": 116.56, "end": 116.84, "word": " الرابعة", "probability": 0.96728515625}, {"start": 116.84, "end": 117.28, "word": " أنونية", "probability": 0.6117757161458334}, {"start": 117.28, "end": 117.4, "word": " و", "probability": 0.8955078125}, {"start": 117.4, "end": 117.74, "word": " عوضنا", "probability": 0.966552734375}, {"start": 117.74, "end": 117.88, "word": " في", "probability": 0.83203125}, {"start": 117.88, "end": 118.34, "word": " المعادلة", "probability": 0.9906005859375}, {"start": 118.34, "end": 118.48, "word": " و", "probability": 0.96728515625}, {"start": 118.48, "end": 119.24, "word": " اختصرنا", "probability": 0.924609375}], "temperature": 1.0}, {"id": 6, "seek": 14637, "start": 119.61, "end": 146.37, "text": "وصلنا إلى المعادلة رقم star اللى سميتها ال auxiliary equation المعادلة المساعدة او ال characteristic equation المعادلة المميزة للمعادلة star تمام؟ if the roots of this equation are repeated then we have two cases يبقى إذا الجذور مكررة في عندي حالتين الحالة الأولى حالة ال real repeated والحالة الثانية حالة ال complex repeated", "tokens": [2407, 36520, 8315, 30731, 9673, 3615, 18513, 37977, 12602, 4587, 2304, 3543, 13672, 7578, 8608, 2304, 36081, 11296, 2423, 43741, 5367, 9673, 3615, 18513, 37977, 9673, 3794, 995, 22488, 3660, 1975, 2407, 2423, 16282, 5367, 9673, 3615, 18513, 37977, 9673, 2304, 1829, 11622, 3660, 5296, 19528, 3615, 18513, 37977, 3543, 46811, 10943, 22807, 498, 264, 10669, 295, 341, 5367, 366, 10477, 550, 321, 362, 732, 3331, 7251, 3555, 4587, 7578, 11933, 15730, 25724, 8848, 13063, 3714, 37983, 25720, 8978, 18871, 16254, 11331, 6027, 2655, 9957, 21542, 6027, 3660, 16247, 12610, 7578, 11331, 6027, 3660, 2423, 957, 10477, 16070, 5016, 6027, 3660, 6024, 104, 7649, 10632, 11331, 6027, 3660, 2423, 3997, 10477], "avg_logprob": 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0.94677734375}, {"start": 125.29, "end": 125.83, "word": " المساعدة", "probability": 0.98642578125}, {"start": 125.83, "end": 126.07, "word": " او", "probability": 0.8076171875}, {"start": 126.07, "end": 126.25, "word": " ال", "probability": 0.65673828125}, {"start": 126.25, "end": 126.91, "word": " characteristic", "probability": 0.61572265625}, {"start": 126.91, "end": 127.77, "word": " equation", "probability": 0.978515625}, {"start": 127.77, "end": 128.49, "word": " المعادلة", "probability": 0.9627685546875}, {"start": 128.49, "end": 129.41, "word": " المميزة", "probability": 0.983984375}, {"start": 129.41, "end": 130.77, "word": " للمعادلة", "probability": 0.886865234375}, {"start": 130.77, "end": 131.47, "word": " star", "probability": 0.33203125}, {"start": 131.47, "end": 132.85, "word": " تمام؟", "probability": 0.6621907552083334}, {"start": 132.85, "end": 133.01, "word": " if", "probability": 0.3017578125}, {"start": 133.01, "end": 133.21, "word": " the", "probability": 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"end": 137.71, "word": " إذا", "probability": 0.737060546875}, {"start": 137.71, "end": 138.39, "word": " الجذور", "probability": 0.9912109375}, {"start": 138.39, "end": 139.25, "word": " مكررة", "probability": 0.9845377604166666}, {"start": 139.25, "end": 139.55, "word": " في", "probability": 0.75732421875}, {"start": 139.55, "end": 139.91, "word": " عندي", "probability": 0.8447265625}, {"start": 139.91, "end": 140.55, "word": " حالتين", "probability": 0.84747314453125}, {"start": 140.55, "end": 141.11, "word": " الحالة", "probability": 0.94091796875}, {"start": 141.11, "end": 141.65, "word": " الأولى", "probability": 0.9659830729166666}, {"start": 141.65, "end": 142.31, "word": " حالة", "probability": 0.9775390625}, {"start": 142.31, "end": 142.53, "word": " ال", "probability": 0.83984375}, {"start": 142.53, "end": 142.69, "word": " real", "probability": 0.377685546875}, {"start": 142.69, "end": 143.23, "word": " repeated", "probability": 0.9248046875}, {"start": 143.23, "end": 143.87, "word": " والحالة", "probability": 0.877197265625}, {"start": 143.87, "end": 144.17, "word": " الثانية", "probability": 0.9425048828125}, {"start": 144.17, "end": 144.57, "word": " حالة", "probability": 0.9895833333333334}, {"start": 144.57, "end": 144.77, "word": " ال", "probability": 0.94775390625}, {"start": 144.77, "end": 145.37, "word": " complex", "probability": 0.96533203125}, {"start": 145.37, "end": 146.37, "word": " repeated", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 7, "seek": 16573, "start": 146.93, "end": 165.73, "text": "إذا لو كانت الجذور حقيقية ومكررة الحالة الأولى يبقى r1 هيسوي r2 هيسوي r3 هيسوي rn ويساوي rz يبقى الحل الأول E أُس R X الحل الثاني E أُس R X", "tokens": [28814, 15730, 45164, 25961, 2655, 25724, 8848, 13063, 11331, 38436, 4587, 10632, 4032, 2304, 37983, 25720, 21542, 6027, 3660, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 367, 16, 39896, 3794, 45865, 367, 17, 39896, 3794, 45865, 367, 18, 39896, 3794, 45865, 367, 77, 4032, 1829, 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"word": " يبقى", "probability": 0.8641357421875}, {"start": 152.41, "end": 153.09, "word": " r1", "probability": 0.41412353515625}, {"start": 153.09, "end": 153.59, "word": " هيسوي", "probability": 0.428985595703125}, {"start": 153.59, "end": 154.15, "word": " r2", "probability": 0.939208984375}, {"start": 154.15, "end": 154.69, "word": " هيسوي", "probability": 0.9513346354166666}, {"start": 154.69, "end": 155.15, "word": " r3", "probability": 0.98193359375}, {"start": 155.15, "end": 155.65, "word": " هيسوي", "probability": 0.93701171875}, {"start": 155.65, "end": 156.23, "word": " rn", "probability": 0.824462890625}, {"start": 156.23, "end": 157.41, "word": " ويساوي", "probability": 0.747509765625}, {"start": 157.41, "end": 159.03, "word": " rz", "probability": 0.32452392578125}, {"start": 159.03, "end": 160.01, "word": " يبقى", "probability": 0.94677734375}, {"start": 160.01, "end": 160.33, "word": " الحل", "probability": 0.901123046875}, {"start": 160.33, "end": 160.83, "word": " الأول", "probability": 0.980224609375}, {"start": 160.83, "end": 161.11, "word": " E", "probability": 0.54345703125}, {"start": 161.11, "end": 161.43, "word": " أُس", "probability": 0.436279296875}, {"start": 161.43, "end": 161.79, "word": " R", "probability": 0.5791015625}, {"start": 161.79, "end": 162.33, "word": " X", "probability": 0.74169921875}, {"start": 162.33, "end": 163.35, "word": " الحل", "probability": 0.8896484375}, {"start": 163.35, "end": 164.11, "word": " الثاني", "probability": 0.969482421875}, {"start": 164.11, "end": 164.85, "word": " E", "probability": 0.9541015625}, {"start": 164.85, "end": 165.09, "word": " أُس", "probability": 0.92626953125}, {"start": 165.09, "end": 165.33, "word": " R", "probability": 0.822265625}, {"start": 165.33, "end": 165.73, "word": " X", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 8, "seek": 18237, "start": 166.59, "end": 182.37, "text": "يبقى أنا بكرر يبقى بضربه بس في X X E أُصار X الحل التالت X تربيه E أُصار X الحل الرابع X تكعيب E أُصار X لو جبت ده جيب الحل طبعا هدول لو روحت حسبهم بلاقيهم كلهم linearly independent", "tokens": [1829, 3555, 4587, 7578, 41850, 4724, 37983, 2288, 7251, 3555, 4587, 7578, 4724, 11242, 25513, 3224, 4724, 3794, 8978, 1783, 1783, 462, 5551, 10859, 9381, 9640, 1783, 21542, 1211, 16712, 6027, 2655, 1783, 6055, 2288, 21292, 3224, 462, 5551, 10859, 9381, 9640, 1783, 21542, 1211, 34892, 16758, 3615, 1783, 6055, 4117, 3615, 1829, 3555, 462, 5551, 10859, 9381, 9640, 1783, 45164, 10874, 3555, 2655, 11778, 3224, 10874, 1829, 3555, 21542, 1211, 23032, 3555, 3615, 995, 8032, 3215, 12610, 45164, 12602, 2407, 33753, 11331, 35457, 16095, 4724, 15040, 38436, 16095, 28242, 16095, 43586, 6695], "avg_logprob": -0.20794547206543862, "compression_ratio": 1.651685393258427, "no_speech_prob": 0.0, "words": [{"start": 166.59, "end": 166.97, "word": "يبقى", "probability": 0.65679931640625}, {"start": 166.97, "end": 167.11, "word": " أنا", "probability": 0.5078125}, {"start": 167.11, "end": 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"probability": 0.96533203125}, {"start": 173.55, "end": 174.25, "word": " تربيه", "probability": 0.6973876953125}, {"start": 174.25, "end": 174.45, "word": " E", "probability": 0.98046875}, {"start": 174.45, "end": 174.91, "word": " أُصار", "probability": 0.9815673828125}, {"start": 174.91, "end": 175.13, "word": " X", "probability": 0.99462890625}, {"start": 175.13, "end": 175.51, "word": " الحل", "probability": 0.9794921875}, {"start": 175.51, "end": 175.95, "word": " الرابع", "probability": 0.9890950520833334}, {"start": 175.95, "end": 176.21, "word": " X", "probability": 0.96533203125}, {"start": 176.21, "end": 176.67, "word": " تكعيب", "probability": 0.8587890625}, {"start": 176.67, "end": 176.83, "word": " E", "probability": 0.98583984375}, {"start": 176.83, "end": 177.31, "word": " أُصار", "probability": 0.9921875}, {"start": 177.31, "end": 177.67, "word": " X", "probability": 0.99609375}, {"start": 177.67, "end": 178.41, "word": " لو", "probability": 0.89306640625}, {"start": 178.41, "end": 178.85, "word": " جبت", "probability": 0.5901692708333334}, {"start": 178.85, "end": 179.05, "word": " ده", "probability": 0.7421875}, {"start": 179.05, "end": 179.23, "word": " جيب", "probability": 0.8564453125}, {"start": 179.23, "end": 179.53, "word": " الحل", "probability": 0.9501953125}, {"start": 179.53, "end": 179.89, "word": " طبعا", "probability": 0.92333984375}, {"start": 179.89, "end": 180.15, "word": " هدول", "probability": 0.8146158854166666}, {"start": 180.15, "end": 180.27, "word": " لو", "probability": 0.984375}, {"start": 180.27, "end": 180.47, "word": " روحت", "probability": 0.8173828125}, {"start": 180.47, "end": 180.81, "word": " حسبهم", "probability": 0.8619791666666666}, {"start": 180.81, "end": 181.19, "word": " بلاقيهم", "probability": 0.62005615234375}, {"start": 181.19, "end": 181.47, "word": " كلهم", "probability": 0.891845703125}, {"start": 181.47, "end": 181.85, "word": " linearly", "probability": 0.90283203125}, {"start": 181.85, "end": 182.37, "word": " independent", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 9, "seek": 20315, "start": 182.91, "end": 203.15, "text": "يبقى شكل الحل العام في هذه الحالة بيكون على صورة C1 زي C2X زي C3X تربية زي CNX أُس الناقص واحد E أُس R اللي طلعت عند هنا اللي تبعت تقرار يبقى هذا شكل الحل العام لو كانت الجذور حقيقية ومكررة", "tokens": [1829, 3555, 4587, 7578, 13412, 28820, 21542, 1211, 18863, 10943, 8978, 29538, 21542, 6027, 3660, 4724, 1829, 30544, 15844, 20328, 13063, 3660, 383, 16, 30767, 1829, 383, 17, 55, 30767, 1829, 383, 18, 55, 6055, 25513, 10632, 30767, 1829, 383, 45, 55, 5551, 10859, 3794, 2423, 8315, 4587, 9381, 36764, 24401, 462, 5551, 10859, 3794, 497, 13672, 1829, 23032, 1211, 34268, 43242, 34105, 13672, 1829, 6055, 3555, 34268, 6055, 4587, 2288, 9640, 7251, 3555, 4587, 7578, 23758, 13412, 28820, 21542, 1211, 18863, 10943, 45164, 25961, 2655, 25724, 8848, 13063, 11331, 38436, 4587, 10632, 4032, 2304, 37983, 25720], "avg_logprob": -0.23979591791118895, "compression_ratio": 1.7567567567567568, "no_speech_prob": 0.0, "words": [{"start": 182.91, "end": 183.45, "word": "يبقى", "probability": 0.7989501953125}, {"start": 183.45, "end": 183.83, "word": " شكل", "probability": 0.892333984375}, {"start": 183.83, "end": 184.27, "word": " الحل", "probability": 0.9833984375}, {"start": 184.27, "end": 184.63, "word": " العام", "probability": 0.941162109375}, {"start": 184.63, "end": 184.77, "word": " في", "probability": 0.78466796875}, {"start": 184.77, "end": 184.99, "word": " هذه", "probability": 0.92333984375}, {"start": 184.99, "end": 185.35, "word": " الحالة", "probability": 0.96142578125}, {"start": 185.35, "end": 185.85, "word": " بيكون", "probability": 0.6822509765625}, {"start": 185.85, "end": 186.11, "word": " على", "probability": 0.93115234375}, {"start": 186.11, "end": 186.81, "word": " صورة", "probability": 0.8880208333333334}, {"start": 186.81, "end": 187.53, "word": " C1", "probability": 0.607421875}, {"start": 187.53, "end": 187.89, "word": " زي", "probability": 0.34189605712890625}, {"start": 187.89, "end": 188.77, "word": " C2X", "probability": 0.7853190104166666}, {"start": 188.77, "end": 189.07, "word": " زي", "probability": 0.86962890625}, {"start": 189.07, "end": 189.95, "word": " C3X", "probability": 0.9580078125}, {"start": 189.95, "end": 190.29, "word": " تربية", "probability": 0.59521484375}, {"start": 190.29, "end": 190.61, "word": " زي", "probability": 0.937744140625}, {"start": 190.61, "end": 191.87, "word": " CNX", "probability": 0.5690104166666666}, {"start": 191.87, "end": 192.15, "word": " أُس", "probability": 0.4502766927083333}, {"start": 192.15, "end": 192.57, "word": " الناقص", "probability": 0.7825927734375}, {"start": 192.57, "end": 192.83, "word": " واحد", "probability": 0.7509765625}, {"start": 192.83, "end": 193.17, "word": " E", "probability": 0.43408203125}, {"start": 193.17, "end": 193.79, "word": " أُس", "probability": 0.93212890625}, {"start": 193.79, "end": 194.13, "word": " 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744.53, "word": " يبقى", "probability": 0.982421875}, {"start": 744.53, "end": 744.75, "word": " the", "probability": 0.7373046875}, {"start": 744.75, "end": 745.71, "word": " general", "probability": 0.90234375}, {"start": 745.71, "end": 747.77, "word": " solution", "probability": 0.9609375}], "temperature": 1.0}, {"id": 33, "seek": 77199, "start": 765.37, "end": 771.99, "text": "يبقى بطير الأولى بظل بس ما يأتي هنا مكرر كم مرة", "tokens": [1829, 3555, 4587, 7578, 4724, 9566, 13546, 16247, 12610, 7578, 4724, 19913, 1211, 4724, 3794, 19446, 7251, 10721, 31371, 34105, 3714, 37983, 2288, 9122, 2304, 3714, 25720], "avg_logprob": -0.42801339817898615, "compression_ratio": 1.135135135135135, "no_speech_prob": 0.0, "words": [{"start": 765.37, "end": 766.53, "word": "يبقى", "probability": 0.75067138671875}, {"start": 766.53, "end": 766.95, "word": " بطير", "probability": 0.4789021809895833}, {"start": 766.95, "end": 767.41, "word": " الأولى", "probability": 0.7203776041666666}, {"start": 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" b1", "probability": 0.8427734375}, {"start": 789.69, "end": 790.47, "word": " زايد", "probability": 0.7994791666666666}, {"start": 790.47, "end": 792.11, "word": " b2x", "probability": 0.9747721354166666}, {"start": 792.11, "end": 792.67, "word": " في", "probability": 0.9375}, {"start": 792.67, "end": 794.07, "word": " sin", "probability": 0.45751953125}, {"start": 794.07, "end": 795.53, "word": " x", "probability": 0.453369140625}, {"start": 795.53, "end": 796.07, "word": " بالشكل", "probability": 0.9274088541666666}, {"start": 796.07, "end": 796.23, "word": " اللي", "probability": 0.92822265625}, {"start": 796.23, "end": 796.75, "word": " عندنا", "probability": 0.841064453125}, {"start": 796.75, "end": 797.31, "word": " هذا", "probability": 0.8330078125}, {"start": 797.31, "end": 801.43, "word": " example", "probability": 0.69287109375}, {"start": 801.43, "end": 801.87, "word": " 3", "probability": 0.444580078125}], "temperature": 1.0}, {"id": 35, "seek": 83240, "start": 807.46, "end": 832.4, "text": "Y to the derivative of V زائد اربعة Y تكعيب او Y to the derivative of V3 بده يساوي زيلة نفس التكتيك اللي عملته فوق حتى تبقى هنا بالضبط تماما يبقى حاجة اقوله solution بعد ما سمي هذا المعادلة رقم star", "tokens": [56, 281, 264, 13760, 295, 691, 30767, 16373, 3215, 1975, 25513, 27884, 398, 6055, 4117, 3615, 1829, 3555, 1975, 2407, 398, 281, 264, 13760, 295, 691, 18, 47525, 3224, 7251, 3794, 995, 45865, 30767, 26895, 3660, 8717, 36178, 16712, 4117, 31371, 4117, 13672, 1829, 6225, 42213, 47395, 6156, 30543, 11331, 49975, 6055, 3555, 4587, 7578, 34105, 20666, 11242, 3555, 9566, 46811, 10943, 995, 7251, 3555, 4587, 7578, 11331, 26108, 3660, 1975, 39648, 3224, 3827, 39182, 19446, 8608, 2304, 1829, 23758, 9673, 3615, 18513, 1211, 3660, 12602, 4587, 2304, 3543], "avg_logprob": -0.3215277747975455, "compression_ratio": 1.5276381909547738, "no_speech_prob": 0.0, "words": [{"start": 807.46, "end": 808.26, "word": "Y", "probability": 0.08294677734375}, {"start": 808.26, "end": 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"end": 830.9, "word": " المعادلة", "probability": 0.88017578125}, {"start": 830.9, "end": 831.54, "word": " رقم", "probability": 0.98974609375}, {"start": 831.54, "end": 832.4, "word": " star", "probability": 0.1165771484375}], "temperature": 1.0}, {"id": 36, "seek": 84344, "start": 833.24, "end": 843.44, "text": "Assume that the solution of", "tokens": [20892, 2540, 300, 264, 3827, 295], "avg_logprob": -0.23981584821428573, "compression_ratio": 0.8181818181818182, "no_speech_prob": 0.0, "words": [{"start": 833.24, "end": 834.26, "word": "Assume", "probability": 0.6397705078125}, {"start": 834.26, "end": 836.86, "word": " that", "probability": 0.896484375}, {"start": 836.86, "end": 838.88, "word": " the", "probability": 0.85546875}, {"start": 838.88, "end": 840.66, "word": " solution", "probability": 0.9560546875}, {"start": 840.66, "end": 843.44, "word": " of", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 37, "seek": 86864, "start": 844.34, "end": 868.64, "text": "The equation star is y تساوي u star x بناء عليه The characteristic equation is أرقص خمسة زائد أربعة R تكيب زائد أربعة", "tokens": [2278, 5367, 3543, 307, 288, 6055, 3794, 995, 45865, 344, 3543, 2031, 44945, 16606, 47356, 440, 16282, 5367, 307, 5551, 2288, 4587, 9381, 16490, 2304, 3794, 3660, 30767, 16373, 3215, 5551, 25513, 27884, 497, 6055, 4117, 1829, 3555, 30767, 16373, 3215, 5551, 25513, 27884], "avg_logprob": -0.35208332538604736, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 844.34, "end": 844.92, "word": "The", "probability": 0.107177734375}, {"start": 844.92, "end": 846.64, "word": " equation", "probability": 0.35595703125}, {"start": 846.64, "end": 848.08, "word": " star", "probability": 0.434814453125}, {"start": 848.08, "end": 849.22, "word": " is", "probability": 0.8505859375}, {"start": 849.22, "end": 850.2, "word": " y", "probability": 0.67822265625}, {"start": 850.2, "end": 851.0, "word": " تساوي", "probability": 0.7335739135742188}, {"start": 851.0, "end": 851.66, "word": " u", "probability": 0.5322265625}, {"start": 851.66, "end": 852.06, "word": " star", "probability": 0.08807373046875}, {"start": 852.06, "end": 852.5, "word": " x", "probability": 0.97802734375}, {"start": 852.5, "end": 853.68, "word": " بناء", "probability": 0.64697265625}, {"start": 853.68, "end": 854.24, "word": " عليه", "probability": 0.438720703125}, {"start": 854.24, "end": 855.1, "word": " The", "probability": 0.445556640625}, {"start": 855.1, "end": 857.34, "word": " characteristic", "probability": 0.869140625}, {"start": 857.34, "end": 859.5, "word": " equation", "probability": 0.98046875}, {"start": 859.5, "end": 860.78, "word": " is", "probability": 0.8955078125}, {"start": 860.78, "end": 862.16, "word": " أرقص", "probability": 0.7947998046875}, {"start": 862.16, "end": 863.12, "word": " خمسة", "probability": 0.95068359375}, {"start": 863.12, "end": 864.14, "word": " زائد", "probability": 0.8175455729166666}, {"start": 864.14, "end": 864.88, "word": " أربعة", "probability": 0.9124348958333334}, {"start": 864.88, "end": 865.42, "word": " R", "probability": 0.3046875}, {"start": 865.42, "end": 866.48, "word": " تكيب", "probability": 0.94677734375}, {"start": 866.48, "end": 867.88, "word": " زائد", "probability": 0.96923828125}, {"start": 867.88, "end": 868.64, "word": " أربعة", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 38, "seek": 89812, "start": 871.98, "end": 898.12, "text": "زاد اربعة ار تكييب بده يساوي مين بده يساوي زيرو يبقى بناء عليه لو أخدت ار تكييب عامل مشترك بيظل ار تربيع زاد جداش زاد اربعة بده يساوي زيرو يبقى الأولى مكررة كام مرة وجداش حقيقية ولا complex", "tokens": [11622, 18513, 1975, 25513, 27884, 1975, 2288, 6055, 4117, 1829, 1829, 3555, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 47525, 3224, 7251, 3794, 995, 45865, 30767, 13546, 2407, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 45164, 5551, 9778, 3215, 2655, 1975, 2288, 6055, 4117, 1829, 1829, 3555, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 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0.8408203125}, {"start": 1054.25, "end": 1055.39, "word": " with", "probability": 0.75048828125}, {"start": 1055.39, "end": 1057.45, "word": " constant", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 45, "seek": 108142, "start": 1063.16, "end": 1081.42, "text": "بمعاملات ثابتة بمعاملات ثابتة بمعاملات ثابتة of order 11 which has a characteristic equation", "tokens": [3555, 2304, 3615, 10943, 1211, 9307, 38637, 16758, 2655, 3660, 4724, 2304, 3615, 10943, 1211, 9307, 38637, 16758, 2655, 3660, 4724, 2304, 3615, 10943, 1211, 9307, 38637, 16758, 2655, 3660, 295, 1668, 2975, 597, 575, 257, 16282, 5367], "avg_logprob": -0.33794070818485356, "compression_ratio": 1.5411764705882354, "no_speech_prob": 0.0, "words": [{"start": 1063.1599999999999, "end": 1064.56, "word": "بمعاملات", "probability": 0.79791259765625}, {"start": 1064.56, "end": 1065.48, "word": " ثابتة", "probability": 0.949462890625}, {"start": 1065.48, "end": 1065.48, "word": " بمعاملات", "probability": 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"end": 1117.82, "text": "الـ P of R بدي ساوي R زائد اتنين و R ناقص تلاتة أس أربعة و R ترابيع زائد اتنين R زائد خمسة لكل تكيب هذا الكلام بدي ساوي قداش Zero Find the", "tokens": [6027, 39184, 430, 295, 497, 4724, 16254, 8608, 995, 45865, 497, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 4032, 497, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5551, 3794, 5551, 25513, 27884, 4032, 497, 6055, 2288, 16758, 40228, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 497, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 5296, 28820, 6055, 4117, 1829, 3555, 23758, 2423, 28820, 10943, 4724, 16254, 8608, 995, 45865, 12174, 3215, 33599, 17182, 11809, 264], "avg_logprob": -0.19120065201269953, "compression_ratio": 1.5100671140939597, "no_speech_prob": 0.0, "words": [{"start": 1088.66, "end": 1089.02, "word": "الـ", "probability": 0.5074462890625}, {"start": 1089.02, "end": 1089.24, "word": " P", "probability": 0.619140625}, {"start": 1089.24, "end": 1089.7, "word": " of", "probability": 0.77392578125}, 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1111.9, "word": " بدي", "probability": 0.9169921875}, {"start": 1111.9, "end": 1112.3, "word": " ساوي", "probability": 0.9078776041666666}, {"start": 1112.3, "end": 1113.0, "word": " قداش", "probability": 0.833984375}, {"start": 1113.0, "end": 1113.52, "word": " Zero", "probability": 0.68212890625}, {"start": 1113.52, "end": 1115.58, "word": " Find", "probability": 0.464111328125}, {"start": 1115.58, "end": 1117.82, "word": " the", "probability": 0.53076171875}], "temperature": 1.0}, {"id": 47, "seek": 113261, "start": 1118.66, "end": 1132.62, "text": "General solution of the given differential equation", "tokens": [46302, 3827, 295, 264, 2212, 15756, 5367], "avg_logprob": -0.4851074293255806, "compression_ratio": 0.9272727272727272, "no_speech_prob": 0.0, "words": [{"start": 1118.66, "end": 1119.4, "word": "General", "probability": 0.1256103515625}, {"start": 1119.4, "end": 1122.12, "word": " solution", "probability": 0.83740234375}, {"start": 1122.12, "end": 1124.6, "word": " of", "probability": 0.96337890625}, {"start": 1124.6, "end": 1126.4, "word": " the", "probability": 0.654296875}, {"start": 1126.4, "end": 1127.1, "word": " given", "probability": 0.458740234375}, {"start": 1127.1, "end": 1130.58, "word": " differential", "probability": 0.84765625}, {"start": 1130.58, "end": 1132.62, "word": " equation", "probability": 0.8466796875}], "temperature": 1.0}, {"id": 48, "seek": 117803, "start": 1160.49, "end": 1178.03, "text": "السؤال مرتين بقول كل اللي قعدت كتبة تسميهم هنا؟ قول كيف اللي جامد كتب و أنت لأ يعني؟ يلا كل أحد اسمه رقم اليامي، اللي ماكتبش تكتب، علي بالك هنا", "tokens": [6027, 3794, 33604, 6027, 3714, 43500, 9957, 4724, 39648, 28242, 13672, 1829, 12174, 22488, 2655, 9122, 2655, 49401, 6055, 38251, 1829, 16095, 34105, 22807, 12174, 12610, 9122, 33911, 13672, 1829, 10874, 10943, 3215, 9122, 2655, 3555, 4032, 14739, 2655, 5296, 10721, 37495, 22653, 22807, 7251, 15040, 28242, 5551, 24401, 24525, 2304, 3224, 12602, 4587, 2304, 45595, 10943, 1829, 12399, 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معادلة تفاضلية على الشكل L of Y الساوية Zero هذه homogeneously in differential equation", "tokens": [3794, 33604, 6027, 10874, 46152, 8315, 3224, 8978, 11933, 24401, 7578, 2423, 10943, 2655, 5016, 7649, 9307, 7251, 39648, 19446, 7251, 10721, 31371, 23032, 3555, 3615, 995, 23758, 44945, 8592, 38688, 8032, 1211, 41950, 6027, 3555, 41850, 4724, 16095, 1863, 8592, 7251, 7435, 1829, 3555, 9673, 3615, 18513, 37977, 41850, 5551, 3615, 9566, 36081, 3224, 9673, 3615, 18513, 37977, 4724, 3794, 47525, 3224, 7251, 8592, 38688, 3224, 4724, 40228, 28480, 7251, 7435, 1829, 3555, 21542, 1211, 49429, 20193, 9122, 6027, 20292, 41850, 18871, 16254, 20449, 18513, 37977, 6055, 5172, 46958, 1211, 10632, 15844, 25124, 28820, 441, 295, 398, 21136, 995, 2407, 10632, 17182, 29538, 3655, 23360, 5098, 294, 15756, 5367], "avg_logprob": -0.24099099743473637, "compression_ratio": 1.6666666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1179.8, "end": 1180.28, "word": "سؤال", "probability": 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equation", "probability": 0.974609375}, {"start": 2639.97, "end": 2641.05, "word": " star", "probability": 0.8017578125}, {"start": 2641.05, "end": 2644.25, "word": " to", "probability": 0.1455078125}, {"start": 2644.25, "end": 2646.83, "word": " solve", "probability": 0.95703125}], "temperature": 1.0}, {"id": 109, "seek": 267885, "start": 2649.53, "end": 2678.85, "text": "to solve the equation double star we have three cases يبقى هذا يعني الحالة اللي قبل real or different, real repeated او complex بدنا نشوف في كل حالة ما هو شكل الحال اللي عندنا", "tokens": [1353, 5039, 264, 5367, 3834, 3543, 321, 362, 1045, 3331, 7251, 3555, 4587, 7578, 23758, 37495, 22653, 21542, 6027, 3660, 13672, 1829, 12174, 36150, 957, 420, 819, 11, 957, 10477, 1975, 2407, 3997, 47525, 8315, 8717, 8592, 38688, 8978, 28242, 11331, 6027, 3660, 19446, 31439, 13412, 28820, 21542, 6027, 13672, 1829, 43242, 8315], "avg_logprob": -0.2770544042189916, "compression_ratio": 1.4166666666666667, "no_speech_prob": 0.0, 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"probability": 0.767333984375}, {"start": 2674.61, "end": 2674.97, "word": " نشوف", "probability": 0.9959309895833334}, {"start": 2674.97, "end": 2675.13, "word": " في", "probability": 0.9482421875}, {"start": 2675.13, "end": 2675.35, "word": " كل", "probability": 0.98974609375}, {"start": 2675.35, "end": 2675.75, "word": " حالة", "probability": 0.99365234375}, {"start": 2675.75, "end": 2675.85, "word": " ما", "probability": 0.95458984375}, {"start": 2675.85, "end": 2676.11, "word": " هو", "probability": 0.85888671875}, {"start": 2676.11, "end": 2676.73, "word": " شكل", "probability": 0.97021484375}, {"start": 2676.73, "end": 2678.09, "word": " الحال", "probability": 0.94677734375}, {"start": 2678.09, "end": 2678.33, "word": " اللي", "probability": 0.911865234375}, {"start": 2678.33, "end": 2678.85, "word": " عندنا", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 110, "seek": 270338, "start": 2679.44, "end": 2703.38, "text": "Case 1 الحالة الأولى مش هنلعق فبلاش حاضر الجامعه نكمل بس احفظوا المعلومات هذه احصل عليها لإنه بدنا نبني كل شغل عليها تمام يبقى احنا لازلنا في نفس ال section و لنا عودة ان شاء الله", "tokens": [34, 651, 502, 21542, 6027, 3660, 16247, 12610, 7578, 37893, 8032, 1863, 1211, 3615, 4587, 6156, 36150, 33599, 11331, 46958, 2288, 25724, 10943, 3615, 3224, 8717, 24793, 1211, 4724, 3794, 1975, 5016, 5172, 19913, 14407, 9673, 30241, 20498, 9307, 29538, 1975, 5016, 36520, 25894, 11296, 5296, 28814, 1863, 3224, 47525, 8315, 8717, 3555, 22653, 28242, 13412, 17082, 1211, 25894, 11296, 46811, 10943, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 5296, 31377, 1211, 8315, 8978, 8717, 36178, 2423, 3541, 4032, 5296, 8315, 6225, 23328, 3660, 16472, 13412, 16606, 21984], "avg_logprob": -0.29353932584269665, "compression_ratio": 1.5472636815920398, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2679.44, "end": 2679.94, "word": "Case", "probability": 0.462432861328125}, {"start": 2679.94, "end": 2680.8, "word": " 1", "probability": 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"probability": 0.8922119140625}, {"start": 2700.26, "end": 2700.42, "word": " في", "probability": 0.88525390625}, {"start": 2700.42, "end": 2700.66, "word": " نفس", "probability": 0.99560546875}, {"start": 2700.66, "end": 2700.82, "word": " ال", "probability": 0.927734375}, {"start": 2700.82, "end": 2701.2, "word": " section", "probability": 0.89697265625}, {"start": 2701.2, "end": 2701.9, "word": " و", "probability": 0.68212890625}, {"start": 2701.9, "end": 2702.14, "word": " لنا", "probability": 0.54833984375}, {"start": 2702.14, "end": 2702.58, "word": " عودة", "probability": 0.82421875}, {"start": 2702.58, "end": 2702.78, "word": " ان", "probability": 0.7158203125}, {"start": 2702.78, "end": 2703.08, "word": " شاء", "probability": 0.98388671875}, {"start": 2703.08, "end": 2703.38, "word": " الله", "probability": 0.95263671875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2704.428, "duration_after_vad": 2534.208749999994} \ No newline at end of file diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/3eQp6W53jbo_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/3eQp6W53jbo_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..074fcb54ccc552085ddb064857bcb7c3e4f0e9f4 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/3eQp6W53jbo_postprocess.srt @@ -0,0 +1,1848 @@ +1 +00:00:00,000 --> 00:00:01,260 +موسيقى + +2 +00:00:19,490 --> 00:00:23,670 +بسم الله الرحمن الرحيم نعود الأن لإكمال ما ابتدناه + +3 +00:00:23,670 --> 00:00:28,950 +في المحاضرة الماضية وهو section 5-7 الذي يتحدث عن + +4 +00:00:28,950 --> 00:00:32,350 +ال undetermined coefficients اللي هي طريقة + +5 +00:00:32,350 --> 00:00:38,110 +المعاملات المجهولة لحل المعادلة التفاضليةبنحل بهذه + +6 +00:00:38,110 --> 00:00:42,370 +الطريقة إذا تحقق في المعادلة أمران الأمر الأول + +7 +00:00:42,370 --> 00:00:48,210 +كانت المعاملات كلها ثوابت للمعادلة التفاضلية الأمر + +8 +00:00:48,210 --> 00:00:53,450 +الثاني شكل ال F of X تبقى على شكل معين ما هو هذا + +9 +00:00:53,450 --> 00:00:57,810 +شكل أحد ثلاثة أمور الأمر الأول أن يكون polynomial + +10 +00:00:57,810 --> 00:01:01,930 +الأمر الثاني polynomial في exponential الأمر + +11 +00:01:01,930 --> 00:01:07,170 +الثالث polynomialفي exponential في sin x أو cos x + +12 +00:01:07,170 --> 00:01:12,390 +أو مجموعهما أو الفرق فيما بينهما وعطينا على ذلك في + +13 +00:01:12,390 --> 00:01:17,270 +المرة الماضية مثالين وهذا هو المثال رقم تلاتة يبقى + +14 +00:01:17,270 --> 00:01:21,270 +بدنا نحل المعادلة التفاضلية اللي عندنا هذه ذكرنا + +15 +00:01:21,270 --> 00:01:24,830 +في المرة الماضية بنجزئها إلى جزئين بناخد ال + +16 +00:01:24,830 --> 00:01:28,730 +homogeneous ومن ثم ال non homogeneous differential + +17 +00:01:28,730 --> 00:01:34,790 +equationيبقى بداجي اقوله افترض ان Y تساوي E أُس RX + +18 +00:01:34,790 --> 00:01:45,450 +بيه solution of the homogeneous differential + +19 +00:01:45,450 --> 00:01:51,890 +equation اللي هي المعادلة التالية Y W Prime زائد Y + +20 +00:01:51,890 --> 00:01:57,450 +يساوي Zero then the characteristic equation + +21 +00:02:12,070 --> 00:02:18,010 +الحل المتجانس يبقى + +22 +00:02:22,280 --> 00:02:32,080 +The Homogeneous Differential Equation is يُساوي + +23 +00:02:32,080 --> 00:02:40,580 +ياساوي ياساوي + +24 +00:02:40,580 --> 00:02:44,700 +يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي + +25 +00:02:44,700 --> 00:02:45,880 +يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي + +26 +00:02:45,880 --> 00:02:47,560 +يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي + +27 +00:02:47,560 --> 00:02:47,620 +يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي + +28 +00:02:47,620 --> 00:02:51,060 +يساوي يساوي + +29 +00:02:51,060 --> 00:02:56,550 +يسبدي أروح أدور على particular solution لحل + +30 +00:02:56,550 --> 00:03:01,730 +المعادلة اللي هي non homogeneous فباجي بقوله the + +31 +00:03:01,730 --> 00:03:07,970 +particular solution + +32 +00:03:07,970 --> 00:03:17,010 +of theDifferential equation start و بروح اللي فوق + +33 +00:03:17,010 --> 00:03:24,150 +الأساسية هذي بسميها star S مديله الرمز YP و بدي + +34 +00:03:24,150 --> 00:03:31,510 +بقول كتالي X to the power S Vبأجي على شكل اللي هو + +35 +00:03:31,510 --> 00:03:35,650 +الدالة اللي عندنا هذه رقم في sign يعني polynomial + +36 +00:03:35,650 --> 00:03:39,790 +من الدرجة الصفرية مضروبة في sign إذا بدي أكتب + +37 +00:03:39,790 --> 00:03:43,630 +polynomial من الدرجة الصفرية في sign زائد + +38 +00:03:43,630 --> 00:03:49,090 +polynomial في cosine يبقى بقدر أقول هذه عبارة عن a + +39 +00:03:49,090 --> 00:03:55,610 +في cosine ال x زائد b في sine ال x بالشكل اللي + +40 +00:03:55,610 --> 00:04:04,280 +عندنا هذاعندما أبحث عن قيمة S هل هي 0 او 1 او 2 او + +41 +00:04:04,280 --> 00:04:06,980 +3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او + +42 +00:04:06,980 --> 00:04:10,500 +3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او + +43 +00:04:10,500 --> 00:04:10,560 +3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او + +44 +00:04:10,560 --> 00:04:10,600 +3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او + +45 +00:04:10,600 --> 00:04:11,400 +3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او + +46 +00:04:11,400 --> 00:04:11,720 +3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او 3 او + +47 +00:04:11,720 --> 00:04:21,600 +3 او 3 او 3 او 3 او 3 او 3 او 3 او + +48 +00:04:24,720 --> 00:04:28,780 +بواحد وشوف لو حطيتها بواحد بيظل فيه تشبه ولا بيكون + +49 +00:04:28,780 --> 00:04:34,980 +انتهى هذا التشبه إذا لو حطيت S بواحد بيصير AX Cos + +50 +00:04:34,980 --> 00:04:41,400 +وهنا BX Sin هل في أي term هنا يشبه أي term هنا + +51 +00:04:41,400 --> 00:04:48,920 +طبعا لأ يبقى هنا hereهنا ال S تساوي واحد لما حط ال + +52 +00:04:48,920 --> 00:04:53,740 +S تساوي واحد بيكون أزلنا الشبه اللي موجود تماما ما + +53 +00:04:53,740 --> 00:04:56,880 +بين ال complementary solution و ال particular + +54 +00:04:56,880 --> 00:05:02,600 +solution يبقى بناء عليه هيصبح YP على الشكل التالي + +55 +00:05:02,600 --> 00:05:12,510 +AX في cosine X زائد BX في sine Xالان بدنا نحدد + +56 +00:05:12,510 --> 00:05:19,010 +قيمتين ثوابت ال A و ال B لذلك بدي اشتق مرة و اتنين + +57 +00:05:19,010 --> 00:05:26,590 +و اعوض في المعادلة الأصلية يبقى بدي اخد Y P Prime + +58 +00:05:26,930 --> 00:05:34,310 +هذه المشتقة حصل ضرب دالتين يبقى a في cos x ناقص ax + +59 +00:05:34,310 --> 00:05:41,070 +في sin x زائد كمان هذه حصل ضرب دالتين يبقى b في + +60 +00:05:41,070 --> 00:05:50,100 +sin x زائد bx في cos xيبقى اشتقنا كله من X و Cos X + +61 +00:05:50,100 --> 00:05:56,040 +و X و Sin X كحاصل ضرب دلتيم هذا حصلنا على Y' طبعا + +62 +00:05:56,040 --> 00:06:00,020 +مافيش و لا term زي التاني يبقى بيخلي كل شي زي ما + +63 +00:06:00,020 --> 00:06:06,500 +هو بدنا نروح نجيب YPW' يبقى بدنا اشتق هذه بالسالب + +64 +00:06:06,500 --> 00:06:16,830 +A Sin X وهذه السالب A Sin Xبعد ذلك اتسالب ax في + +65 +00:06:16,830 --> 00:06:23,190 +cos x اشتقت هذه حصل ضرب دلتين بنانيج اللي بعدها + +66 +00:06:23,190 --> 00:06:29,610 +يبقى زائد b في cos x خلصنا منها بدأت اشتق هذه حصل + +67 +00:06:29,610 --> 00:06:38,190 +ضرب دلتين يبقى زائد b في cos x ناقص bx في sin x + +68 +00:06:38,620 --> 00:06:42,780 +يبقى اشتقناه حصل ضرب دلتين هنا في بعض العناصر + +69 +00:06:42,780 --> 00:06:50,640 +متشابهة هي عند هنا سالب اتنين a في sine ال X وعندي + +70 +00:06:50,640 --> 00:06:56,880 +كمان زائد اتنين b في cosine ال X هدول اتنين مع بعض + +71 +00:06:56,880 --> 00:07:03,720 +و هدول اتنين مع بعض باقي عندي ناقص ax في cosine ال + +72 +00:07:03,720 --> 00:07:10,180 +X وناقص bx في sine ال Xبعد ذلك اخذ المعلومات اللى + +73 +00:07:10,180 --> 00:07:15,040 +حصلت عليها و اعوض في المعادلة star يبقى هنا + +74 +00:07:15,040 --> 00:07:23,320 +substitute in + +75 +00:07:23,320 --> 00:07:33,740 +the differential equation star we get بنحصل على ما + +76 +00:07:33,740 --> 00:07:34,200 +يأتي + +77 +00:07:40,110 --> 00:07:43,630 +يجب ان ازالة وي دابلي برايم واحط قيمتها وي دابلي + +78 +00:07:43,630 --> 00:07:48,950 +برايم هي حصلنا عليها يبقى ناقص اتنين اف صين + +79 +00:07:48,950 --> 00:07:55,980 +الزاوية ثتا صين الزاوية Xتمام؟ اللي بعدها زائد + +80 +00:07:55,980 --> 00:08:04,340 +اتنين B في cosine ال X اللي بعدها ناقص ال AX في + +81 +00:08:04,340 --> 00:08:11,080 +cosine ال X ناقص ال BX في sine ال X هذا كله اللي + +82 +00:08:11,080 --> 00:08:17,400 +أخدته مين؟ YW prime ضايق لنا مين؟ Y وين Y هايها؟ + +83 +00:08:17,400 --> 00:08:24,560 +بده أجمعهم هدول يبقى زائدهه اللي هو مين ax في cos + +84 +00:08:24,560 --> 00:08:33,520 +x و بعد هي كده زائد bx في sin x كله بيسوي الطرف + +85 +00:08:33,520 --> 00:08:40,300 +اللي يتبع المعادلة اللي هو 4 في sin xبنجي نجمع عنا + +86 +00:08:40,300 --> 00:08:47,940 +ax cos بالسالب و ax cos بالموجب عنا bx sin بالسالب + +87 +00:08:47,940 --> 00:08:53,220 +و bx بيمين بالموجب يبقى صفة المعادلة على الشكل + +88 +00:08:53,220 --> 00:09:00,740 +التالي ناقص اتنين a sin x زائدي اتنين b cos x كله + +89 +00:09:00,740 --> 00:09:07,540 +بده يسوي اربع sin xبعد ذلك نقرر المعاملات في + +90 +00:09:07,540 --> 00:09:13,340 +الطرفين إذا لو قررنا المعاملات في الطرفين بسنا نقص + +91 +00:09:13,340 --> 00:09:19,580 +اتنين a بدي ساوي قداش اربعة وعندك اتنين b بدي عندي + +92 +00:09:19,580 --> 00:09:26,520 +cosine هنا ماعناش يبقى بيه zero هذا معناه ان ال a + +93 +00:09:26,520 --> 00:09:33,330 +تساوي سالب اتنين و ال b تساوي zeroيبقى أصبح شكل ال + +94 +00:09:33,330 --> 00:09:46,570 +YP على الشكل التالي يبقى + +95 +00:09:46,570 --> 00:09:50,570 +أصبح هذا شكل ال YP + +96 +00:10:01,840 --> 00:10:11,150 +Y يساوي YC زائد YPيبقى بناء عليه يصبح y يسوي yc هي + +97 +00:10:11,150 --> 00:10:20,070 +الموجود عندى يبقى c1 cos x زائد c2 في sin x وزائد + +98 +00:10:20,070 --> 00:10:28,010 +yp ناقص 2x في cos x يبقى هذا الحل النهائي تبع من؟ + +99 +00:10:28,010 --> 00:10:32,990 +تبع المعادلة لاحظى ولا term من التلات termات زى + +100 +00:10:32,990 --> 00:10:38,240 +التانى مافيش تشابهبين أي term والterm الثاني + +101 +00:10:38,240 --> 00:10:46,440 +المثال رقم أربع يبقى example أربع + +102 +00:10:46,440 --> 00:10:50,720 +بقول + +103 +00:10:50,720 --> 00:10:56,260 +دي term a suitable + +104 +00:10:56,260 --> 00:11:03,480 +form شكل + +105 +00:11:03,480 --> 00:11:09,990 +مناسبFor the + +106 +00:11:09,990 --> 00:11:19,330 +particular solution + +107 +00:11:19,330 --> 00:11:23,490 +of the + +108 +00:11:23,960 --> 00:11:32,520 +Differential equation للمعادلة التفاضلية YW' ناقص + +109 +00:11:32,520 --> 00:11:49,540 +4Y' زائد 4Y يساوي 2X تربيع زائد 4X E أس 2Xزائد اكس + +110 +00:11:49,540 --> 00:11:55,100 +في صين اتنين اكس وهذه بدي اسميها المعادلة هي من + +111 +00:11:55,100 --> 00:12:00,960 +الstar وبين جسين don't + +112 +00:12:00,960 --> 00:12:07,800 +don't evaluate the + +113 +00:12:07,800 --> 00:12:08,620 +constants + +114 +00:12:38,460 --> 00:12:43,640 +قالب الكوينة تانينقرأ السؤال مرة تانية ونشوف شو + +115 +00:12:43,640 --> 00:12:51,120 +المطلوب بيقوللي حدد حل في شكل مناسب لل particular + +116 +00:12:51,120 --> 00:12:54,400 +solution y, z تبع ال differential equation هذا + +117 +00:12:54,400 --> 00:12:57,020 +يبقى الناس بتحدد شكل ال particular solution + +118 +00:12:57,020 --> 00:13:00,840 +ويقوللي ما تحسبش الثوابت اضايع شواجدك وانت بتجيب + +119 +00:13:00,840 --> 00:13:04,120 +المشتقة الأولى والتانية واتعوض في المعادلة واتجيب + +120 +00:13:04,120 --> 00:13:07,940 +ليه جديش قيمة a وb او a وb وc وما إلا بتديش قيمة + +121 +00:13:07,940 --> 00:13:11,650 +ثوابت بس هتلي شكل mainالـ Particular solution ليس + +122 +00:13:11,650 --> 00:13:15,790 +لازم يكون قيمته ثامته بقوله كويس يبقى يحتاج + +123 +00:13:15,790 --> 00:13:20,350 +للمعادلة يحتاج أن يأخذ الـHomogeneous differential + +124 +00:13:20,350 --> 00:13:24,550 +equation يبقى يبدأ كما بدأت في المثال اللي قبله + +125 +00:13:24,550 --> 00:13:29,290 +let Y تساوي E أُس RX بإيه؟ + +126 +00:13:41,220 --> 00:13:50,680 +يبقى باجي بقوله the characteristicEquation is R + +127 +00:13:50,680 --> 00:13:56,060 +تربيع ناقص اربعة R زائد اربعة يساوي Zero او ان + +128 +00:13:56,060 --> 00:14:02,560 +شئتم فقولوا R ناقص اتنين لكل تربيع تساوي Zero او + +129 +00:14:02,560 --> 00:14:09,370 +ال R تساوي اتنين والحل هذا مكبر كم مرة؟يبقى مرتين + +130 +00:14:09,370 --> 00:14:12,850 +يبقى of multiplicity two + +131 +00:14:19,800 --> 00:14:25,640 +2 يعني الحل مكرر مرتين بناء عليه بروح بقوله هنا + +132 +00:14:25,640 --> 00:14:32,220 +يبقى solution yc بده يساوي الحل real و مكرر مرتين + +133 +00:14:32,220 --> 00:14:38,680 +يبقى c1 زائد c2x e اص r + +134 +00:14:44,740 --> 00:14:49,820 +بنبروز هذا الحل و بنسيبه و بنروح نرجعله بعد قليل + +135 +00:14:49,820 --> 00:14:52,800 +الان بدنا نيجي لل non homogeneous differential + +136 +00:14:52,800 --> 00:14:56,280 +equation اللي ال star اللي عندنا بدنا نتطلع على + +137 +00:14:56,280 --> 00:15:00,240 +شكل ال F of X اللي هو الشكل اللي عندنا هذا هل هي + +138 +00:15:00,240 --> 00:15:05,740 +polynomial فقط؟أو polynomial في exponential أو + +139 +00:15:05,740 --> 00:15:09,360 +polynomial في sin أو cos المجموعة الحمد لله جايبة + +140 +00:15:09,360 --> 00:15:13,720 +التلت حالات كلهم بسؤال انواعي هي polynomial من + +141 +00:15:13,720 --> 00:15:17,180 +الدرجة الثانية polynomial من الدرجة الأولى في + +142 +00:15:17,180 --> 00:15:21,820 +exponential polynomial من الدرجة الأولى في sin إذا + +143 +00:15:21,820 --> 00:15:27,630 +إيش هعمل في المعادلة اللي عندي؟هجزقها إلى ثلاث + +144 +00:15:27,630 --> 00:15:31,690 +معادلات تمام؟ و أحل كل واحدة فيهم و أجيب ال + +145 +00:15:31,690 --> 00:15:35,390 +particular solution تبعها و أجمع الحلول التلاتة + +146 +00:15:35,390 --> 00:15:38,810 +بيعطيني ال particular solution لمين؟ للمعادلانة + +147 +00:15:38,810 --> 00:15:43,970 +طبقا لالنظرية اللي أعطانيها لكم في أول section في + +148 +00:15:43,970 --> 00:15:46,970 +ال non homogeneous differential equation قولنالكوا + +149 +00:15:46,970 --> 00:15:53,150 +هذا بيلزمنا لمين؟ لل sections القادمة تمام؟ يبقى + +150 +00:15:53,150 --> 00:16:01,260 +بداجي أقوله هناdifferential equation star is + +151 +00:16:01,260 --> 00:16:08,360 +written as يمكننا أن نكتبها على الشكل التالي الـ y + +152 +00:16:08,360 --> 00:16:14,460 +double prime ناقص أربعة y prime زائد أربعة y يسوى + +153 +00:16:14,460 --> 00:16:20,580 +كم؟ يسوى اتنين x تربيع المعادلة الثانية اللي هي + +154 +00:16:20,580 --> 00:16:33,690 +مين؟YW'-4Y'زائد 4Y يساوي 4XE2X + +155 +00:16:33,690 --> 00:16:45,370 +المعادلة التالتة YW'-4Y'زائد 4Y يساوي XSIN2X يساوي + +156 +00:16:45,370 --> 00:16:50,350 +X في SIN2X بالشكل اللي عندنا هذا + +157 +00:16:58,280 --> 00:17:03,840 +طيب، الآن يعني كأنه صار عندي مش مسألة واحدة، ثلاث + +158 +00:17:03,840 --> 00:17:07,120 +مسائل، بدي أحل كل واحد أجيب ال particle solution + +159 +00:17:07,120 --> 00:17:12,980 +كأنه لا علاقة لها بمين بالاخرى، يبقى هنا بدي أجيب + +160 +00:17:12,980 --> 00:17:20,180 +ال YP1 يبقى YP1 يساوي X to the power S فيه، هذه + +161 +00:17:20,180 --> 00:17:21,740 +polynomial من الدرجة + +162 +00:17:34,810 --> 00:17:40,490 +هل اي term من هنا يشبه + +163 +00:17:40,490 --> 00:17:42,250 +اي term فوق؟ + +164 +00:17:45,280 --> 00:17:52,060 +مضروفة يعني هذا C1 E2 X و C2 X E2 فيه؟ ماعنديش + +165 +00:17:52,060 --> 00:17:56,020 +exponential هناك بمافيش يبجى هنا S بقدر ايه؟ ب + +166 +00:17:56,020 --> 00:18:03,680 +Zero يبجى here ال S تساوي Zero يبجى أصبح Y P1 بده + +167 +00:18:03,680 --> 00:18:11,780 +يساوي A0 X تربيع زائد A1 X زائد A2 سيبونا من هذا + +168 +00:18:11,780 --> 00:18:20,370 +ننتقل على اللي بعدهايبقى بدي أكتب يبقى + +169 +00:18:20,370 --> 00:18:23,230 +بدي أكتب polynomial من الدرجة الأولى في الـ + +170 +00:18:23,230 --> 00:18:26,990 +exponential يبقى بدي أكتب polynomial من الدرجة + +171 +00:18:26,990 --> 00:18:32,070 +الأولى في الـ exponential يبقى بدي أكتب polynomial + +172 +00:18:32,070 --> 00:18:34,410 +من الدرجة الأولى في الـ exponential يبقى بدي أكتب + +173 +00:18:34,410 --> 00:18:37,350 +polynomial من الدرجة الأولى في الـ exponential + +174 +00:18:37,350 --> 00:18:37,390 +exponential يبقى بدي أكتب polynomial من الدرجة + +175 +00:18:37,390 --> 00:18:38,650 +الأولى في الـ exponential يبقى بدي أكتب polynomial + +176 +00:18:38,650 --> 00:18:38,870 +من الدرجة الأولى في الـ exponential يبقى بدي أكتب + +177 +00:18:38,870 --> 00:18:39,870 +polynomial من الدرجة الأولى في الـ exponential + +178 +00:18:39,870 --> 00:18:40,510 +يبقى بدي أكتب polynomial من الدرجة الأولى في الـ + +179 +00:18:40,510 --> 00:18:42,530 +exponential يبقى بدي أكتب polynomial من الدرجة الأ + +180 +00:18:42,560 --> 00:18:55,400 +هو يجب أن أغطي X to the power S وهو يجب أن أغطي X + +181 +00:18:55,400 --> 00:18:56,780 +to the power S وهو يجب أن أغطي X to the power S + +182 +00:18:56,780 --> 00:18:58,460 +وهو يجب أن أغطي X to the power S وهو يجب أن أغطي X + +183 +00:18:58,460 --> 00:18:58,680 +to the power S وهو يجب أن أغطي X to the power S + +184 +00:18:58,680 --> 00:18:59,380 +وهو يجب أن أغطي X to the power S وهو يجب أن أغطي X + +185 +00:18:59,380 --> 00:19:03,500 +to the power S وهو يجب أن أغطي X to the powerطب + +186 +00:19:03,500 --> 00:19:10,940 +بده احط S بقداش؟ بواحد لو حطيت S بواحد بصير B0 X + +187 +00:19:10,940 --> 00:19:15,420 +تربية في ال exponential فيه فوق زيها طيب نشوف هذه + +188 +00:19:15,420 --> 00:19:21,930 +B1 X في ال exponentialفي زيها يبقى S تساوي واحد مش + +189 +00:19:21,930 --> 00:19:26,830 +صحيحة يبقى احط S بقدرش إذا لو حطيت ال S باتنين + +190 +00:19:26,830 --> 00:19:31,210 +بيضل في اندي تشابه يبقى اتقالله يبقى بقوله here + +191 +00:19:31,210 --> 00:19:39,310 +هنا ال S تساوي اتنين يبقى اصبح Y P2 بدل ساوي P0 X + +192 +00:19:39,310 --> 00:19:47,370 +تكيب زي P1 X تربيع كله في ال E أس اتنين Xيعني شيلت + +193 +00:19:47,370 --> 00:19:51,030 +ال S و حطيت مكان اتنين صارت X تربيع ضربت هوين في + +194 +00:19:51,030 --> 00:19:55,090 +اللي جوا فصارت على الشكل اللي عندنا بداخل المعادلة + +195 +00:19:55,090 --> 00:20:08,900 +التالتةالـ YP3 بدي أكتب + +196 +00:20:08,900 --> 00:20:12,180 +polynomial من الدرجة الأولى في الـ cosine زي + +197 +00:20:12,180 --> 00:20:15,160 +polynomial من الدرجة الأولى في الـ sine + +198 +00:20:18,960 --> 00:20:23,360 +يبقى بدأ واخدنا هنا في سيهات والسيهات لأ كمان بدي + +199 +00:20:23,360 --> 00:20:28,860 +اقول دي ا بدي اقول X to the power S في الأول X to + +200 +00:20:28,860 --> 00:20:34,700 +the power S فيه الآن بدي اقول دي نادة + +201 +00:20:37,040 --> 00:20:47,000 +كل هذا الكلام مضروب في cosine 2x زائد e node x + +202 +00:20:47,000 --> 00:20:53,980 +زائد e1 كله مضروب في sin 2x و exponential ماعنديش + +203 +00:20:56,240 --> 00:21:03,100 +هل اي term من المستطيل اللي فوق هذا يشبه أي term + +204 +00:21:03,100 --> 00:21:07,720 +من المستطيل اللي فوق هذا؟ لأ ولا فيه sign ولا كو + +205 +00:21:07,720 --> 00:21:08,120 +ساين + +206 +00:21:13,370 --> 00:21:20,650 +الـ S بدها تساوي 0 يبقى أصبح YP3 بدها تساوي D node + +207 +00:21:20,650 --> 00:21:32,590 +X زائد D1 في Cos 2X زائد E node X زائد E1 في Sin + +208 +00:21:32,590 --> 00:21:38,120 +2Xيبقى الـ Particular solution اللي بدنا يا بنات + +209 +00:21:38,120 --> 00:21:47,060 +يبقى يساوي YP1 زائد YP2 زائد YP3 يبقى أصبح YP + +210 +00:21:47,060 --> 00:21:55,380 +يساوي YP1 هاي و بنزله زي ما هو A0 X تربيع A1X زائد + +211 +00:21:55,380 --> 00:21:57,580 +A2 زائد + +212 +00:22:19,860 --> 00:22:21,260 +YP2YP3YP4YP5YP6YP7 + +213 +00:22:29,550 --> 00:22:36,330 +يبقى هذا كله يعتبر من ال particular solution اللي + +214 +00:22:36,330 --> 00:22:41,990 +مطلوب عنها حد فيكوا لايه تساؤل هنا في هذا السؤال؟ + +215 +00:22:41,990 --> 00:22:48,270 +في اي تساؤل؟طيب على هيك انتهى هذا ال section وإلى + +216 +00:22:48,270 --> 00:22:55,590 +يكون أرقام المسائل يبقى exercises خمسة سبعة + +217 +00:22:55,590 --> 00:23:01,730 +المسائل التالية من واحد لغاية عشرين ومن خمسة + +218 +00:23:01,730 --> 00:23:08,730 +وعشرين لغاية تلاتين مرني + +219 +00:23:08,730 --> 00:23:13,530 +أديكي قد ما تقدري بتصير هذا الموضوع بصير جدا + +220 +00:23:26,290 --> 00:23:49,450 +اللي فوق هذا انتهينا منه اظن خلاص؟ + +221 +00:23:49,450 --> 00:23:55,440 +طيبلما ننتقل إلى ال section الأخير من هذا ال + +222 +00:23:55,440 --> 00:24:00,320 +chapter وهي الطريقة الثانية من طرق حل ال non + +223 +00:24:00,320 --> 00:24:03,800 +homogeneous differential equation وهي طريقة ال + +224 +00:24:03,800 --> 00:24:11,280 +variation of parameters تغيير الوسيطات يبقى 85 أو + +225 +00:24:11,280 --> 00:24:19,340 +58 اللي هو variation of + +226 +00:24:20,530 --> 00:24:29,030 +Parameters نستخدم + +227 +00:24:29,030 --> 00:24:39,410 +هذه الطريقة نستخدم هذه الطريقة to find a + +228 +00:24:39,410 --> 00:24:45,850 +particular solution to find a particular + +229 +00:24:54,020 --> 00:24:58,120 +YP الرمز للإيقاع + +230 +00:25:01,140 --> 00:25:07,280 +Differential equation للمعادلة التفاضلية a0 as a + +231 +00:25:07,280 --> 00:25:14,040 +function of x زائد ال a1 as a function of x لل + +232 +00:25:14,040 --> 00:25:21,470 +derivative n minus l1زائد نبقى ماشي لغاية a n + +233 +00:25:21,470 --> 00:25:27,750 +minus one as a function of x y prime زائد a n as a + +234 +00:25:27,750 --> 00:25:33,130 +function of x في ال y بده يساوي capital F of x + +235 +00:25:33,130 --> 00:25:36,790 +وهذه اللي كنا بنطلق عليها المعادلة الأصلية اللي هي + +236 +00:25:36,790 --> 00:25:46,210 +starwhere حيث ال a node of x و ال a one of x و + +237 +00:25:46,210 --> 00:25:54,330 +لغاية ال a n of x هدول كلهم need not need not + +238 +00:25:54,330 --> 00:26:00,510 +constants need + +239 +00:26:00,510 --> 00:26:09,410 +not constants and no restrictionماعنديش قيود + +240 +00:26:09,410 --> 00:26:24,010 +ماعنديش + +241 +00:26:24,010 --> 00:26:24,850 +قيود عليها + +242 +00:26:33,720 --> 00:26:46,600 +YC يبدو يساوي C1Y1 زائد C2Y2 زائد CNYN Assume that + +243 +00:26:46,600 --> 00:26:57,440 +is a solution of the homo + +244 +00:27:10,960 --> 00:27:16,840 +زايد زايد a n minus 1 as a function of x في ال y + +245 +00:27:16,840 --> 00:27:23,680 +prime زايد a n of x y بده يساوي كده؟ بده يساوي 0 + +246 +00:27:29,020 --> 00:27:32,880 +to get a + +247 +00:27:32,880 --> 00:27:37,540 +particular solution + +248 +00:27:37,540 --> 00:27:46,180 +to get a particular solution yp of the + +249 +00:27:46,180 --> 00:27:56,140 +differential equation star by the method + +250 +00:27:59,990 --> 00:28:07,590 +of variation of + +251 +00:28:07,590 --> 00:28:20,570 +parameters replace + +252 +00:28:20,570 --> 00:28:32,010 +استبدل replace the above constantsabove constants + +253 +00:28:32,010 --> 00:28:42,250 +in + +254 +00:28:42,250 --> 00:28:48,930 +the solution yc + +255 +00:28:48,930 --> 00:28:52,550 +by the functions + +256 +00:28:55,020 --> 00:29:10,660 +The functions C1 of X C2 of X و لغاية CN of X That + +257 +00:29:10,660 --> 00:29:11,060 +is + +258 +00:29:15,470 --> 00:29:25,490 +YP يصبح على الشكل التالي C1 of XY1 C2 of XY2 زائد + +259 +00:29:25,490 --> 00:29:29,470 +CN of XYN + +260 +00:29:35,370 --> 00:29:44,010 +الـ CM as a function of X يسوي تكامل الورنسكين M + +261 +00:29:44,010 --> 00:29:51,350 +as a function of X في capital F1 of X على + +262 +00:29:51,350 --> 00:29:59,090 +الورنسكين of X كله بالنسبة إلى DX والـ M + +263 +00:30:02,270 --> 00:30:09,990 +و لغاية ال N و + +264 +00:30:09,990 --> 00:30:14,950 +لغاية + +265 +00:30:14,950 --> 00:30:21,750 +ال N و لغاية ال N و لغاية ال N و لغاية ال N + +266 +00:30:28,070 --> 00:30:34,350 +is the determinant المحدد + +267 +00:30:34,350 --> 00:30:41,370 +obtained from + +268 +00:30:41,370 --> 00:30:46,810 +الوانسكين + +269 +00:30:46,810 --> 00:30:52,130 +of X by replacing + +270 +00:30:58,290 --> 00:31:15,810 +By replacing the M column By the column By + +271 +00:31:15,810 --> 00:31:26,730 +the column Zero Zero ونظل ماشيين لغاية الواحد and + +272 +00:31:30,230 --> 00:31:42,150 +الـ F1 of X تساوي الـ F of X مقسومة على A0 of X + +273 +00:31:42,150 --> 00:31:45,550 +Note + +274 +00:31:45,550 --> 00:31:50,310 +When + +275 +00:31:50,310 --> 00:32:00,490 +we use the method when weuse the method of + +276 +00:32:00,490 --> 00:32:05,590 +variation + +277 +00:32:05,590 --> 00:32:15,910 +of parameters عندما + +278 +00:32:15,910 --> 00:32:23,110 +نستخدم هذه الطريقة variation of parameters the + +279 +00:32:23,110 --> 00:32:23,850 +coefficient + +280 +00:32:33,870 --> 00:32:45,010 +يجب ان يكون يومي يومي + +281 +00:32:45,010 --> 00:32:47,290 +يومي يومي يومي يومي يومي يومي يومي + +282 +00:32:58,790 --> 00:33:11,670 +is of the second order + +283 +00:33:11,670 --> 00:33:14,970 +that + +284 +00:33:14,970 --> 00:33:18,690 +is + +285 +00:33:20,880 --> 00:33:30,340 +الـ a0 of x yw prime a1 of x y prime a2 of x y + +286 +00:33:30,340 --> 00:33:35,420 +بدها تساوي f + +287 +00:33:35,420 --> 00:33:50,710 +of x and f y1 and y2 are two solutionsare two + +288 +00:33:50,710 --> 00:33:57,990 +solutions of + +289 +00:33:57,990 --> 00:34:12,570 +the homogeneous equation a0 of x yw prime a1 of x + +290 +00:34:12,570 --> 00:34:18,570 +y prime a2 of x y بدو يساوي zero then + +291 +00:34:23,050 --> 00:34:33,070 +الـ C1 of X هو تكامل لناقص Y2 as a function of X + +292 +00:34:33,070 --> 00:34:39,550 +في الـ F1 of X على رونسكين X DX + +293 +00:34:43,770 --> 00:34:51,950 +الـ C2 as a function of X بده يساوي تكامل لمين؟ + +294 +00:34:51,950 --> 00:34:58,690 +بده يساوي تكامل للـ Y1 as a function of X في الـ + +295 +00:34:58,690 --> 00:35:05,170 +F1 of X كله على الـ run skin of X في الـ DX + +296 +00:35:05,170 --> 00:35:10,030 +example + +297 +00:35:10,030 --> 00:35:10,490 +1 + +298 +00:35:15,200 --> 00:35:26,200 +Find the general solution of + +299 +00:35:26,200 --> 00:35:32,340 +the differential equation للمعادلة + +300 +00:35:32,340 --> 00:35:38,340 +التفاضلية YW'-2Y + +301 +00:35:43,090 --> 00:35:51,990 +للمعاملة التحوي عضلية y + +302 +00:35:51,990 --> 00:36:03,650 +triple prime زائد y prime بدي يساوي سكل x بيساوي + +303 +00:36:03,650 --> 00:36:12,610 +سكل x وناقص y على 2 أقل من x أقل من y على 2 + +304 +00:37:01,140 --> 00:37:06,600 +الطريقة الثانية من حل المعادلة التفاضلية غير + +305 +00:37:06,600 --> 00:37:11,260 +المتجانسة هذه الطريقة سمنها ال variation of + +306 +00:37:11,260 --> 00:37:14,940 +parameters يبقى أول طريقة طريقة ال undetermined + +307 +00:37:14,940 --> 00:37:18,380 +coefficients والطريقة الثانية التي هي طريقة ال + +308 +00:37:18,380 --> 00:37:23,200 +variation of parameters تغيير الوسيطات تتلخص هذه + +309 +00:37:23,200 --> 00:37:26,740 +الطريقة فيما يأتيطبعا الـ Undetermined + +310 +00:37:26,740 --> 00:37:30,880 +coefficients قلنا مشان نشتغل بها بدّي شرطين ان + +311 +00:37:30,880 --> 00:37:34,860 +المعاملة تثوابت و ال F of X تبقى على شكل معين حسب + +312 +00:37:34,860 --> 00:37:37,660 +الجدول اللي اعطاناكوا يعنى، مظبوط؟ هنا ال + +313 +00:37:37,660 --> 00:37:41,460 +variation بيقولي لأ المعاملة تثوابت و الله متغيرة + +314 +00:37:41,460 --> 00:37:45,660 +ماعنديش مشكلة ال F of X اللي في الطرف اليمين هذه + +315 +00:37:45,660 --> 00:37:49,180 +ال F of X كانت على شكل معين و الله غير عليها شكل + +316 +00:37:49,180 --> 00:37:53,590 +معين ماعنديش مشكلةيعني أيش ما يكون شكل ال F يكون و + +317 +00:37:53,590 --> 00:37:56,590 +أيش ما يكون المعاملة ثوة بطولة متغيرات ماعنديش + +318 +00:37:56,590 --> 00:38:00,970 +مشكلة يبقى هذا الشكل العامل المعادل أسطار حيث هدول + +319 +00:38:00,970 --> 00:38:05,350 +الدول نية not كنصة ليس بالضرورة يكونوا كنصة يعني + +320 +00:38:05,350 --> 00:38:08,470 +ممكن يكونوا كنصة و ممكن يكونوا متغيرات ماعنديش + +321 +00:38:08,470 --> 00:38:12,070 +مشكلة في هذه العالم and + +322 +00:38:13,430 --> 00:38:18,250 +and no restrictions + +323 +00:38:18,250 --> 00:38:23,170 +ماعنديش قيود على شكل ال F of X في ال Undetermined + +324 +00:38:23,170 --> 00:38:25,650 +قلت يابولونوميل يابولونوميل في الاكسبونينش + +325 +00:38:25,650 --> 00:38:28,830 +يابولونوميل في اكسبونينش في الاكسبونينش في + +326 +00:38:28,830 --> 00:38:33,850 +الاكسبونينش في الاكسبونينش في الاكسبونينش في + +327 +00:38:33,850 --> 00:38:35,710 +الاكسبونينش في الاكسبونينش في الاكسبونينش في + +328 +00:38:35,710 --> 00:38:36,610 +الاكسبونينش في الاكسبونينش في الاكسبونينش في + +329 +00:38:36,610 --> 00:38:37,770 +الاكسبونينش في الاكسبونينش في الاكسبونينش في + +330 +00:38:37,770 --> 00:38:38,170 +الاكسبونينش في الاكسبونينش في الاكسبونينش في + +331 +00:38:38,170 --> 00:38:40,250 +الاكسبونينش في الاكسبونينش في الاكسبونينش في + +332 +00:38:40,250 --> 00:38:45,310 +الاكسبونينش في الاكسهذا الشغل الوحيد اللي هو الحل + +333 +00:38:45,310 --> 00:38:47,610 +الـComplementary Solution بدي أدور على الـ + +334 +00:38:47,610 --> 00:38:51,270 +Particular Solution تبع المعادلة مين؟ تبع المعادلة + +335 +00:38:51,270 --> 00:38:55,570 +Star فبجي بقول بدي أفترض الحل بطريقة ال version of + +336 +00:38:55,570 --> 00:38:59,870 +parameters هو نفس الحل هذا بس بدي أشيله ثوابت و + +337 +00:38:59,870 --> 00:39:04,230 +أضع بدلهم دوال في X يبقى Star شكل ال Particular + +338 +00:39:04,230 --> 00:39:09,490 +Solution هو C1 of X Y1 زائد C2 of X Y2 زائد زائد + +339 +00:39:09,490 --> 00:39:14,560 +CN وA of X YNطيب مين هي الـC هات كيف بدى أحسبها + +340 +00:39:14,560 --> 00:39:19,980 +هذه؟ بعد شوية حسابات لجينا في قاعدة بواسطتها بجيب + +341 +00:39:19,980 --> 00:39:25,320 +كل دالة من هذه الدولة مين هي؟ قاعدة CM of XM طبعا + +342 +00:39:25,320 --> 00:39:29,500 +بواحد واثنين لغاية ال N يعني بC واحد وC اتنين وC + +343 +00:39:29,500 --> 00:39:34,890 +تلاتة كده الاخرينيساوي الـ Ronschen M F1 of X على + +344 +00:39:34,890 --> 00:39:38,530 +Ronschen of X DX نجي على الـ Ronschen of X الـ + +345 +00:39:38,530 --> 00:39:42,330 +Ronschen هذا التابع الحلول اللي في الحالة الأولى + +346 +00:39:42,330 --> 00:39:46,190 +Y1 و Y2 و YN بجيب اللي هم الـ Ronschen بيكون هذا + +347 +00:39:46,190 --> 00:39:50,140 +هو الـ Ronschen تبع حصوف على شجرةبدي رونسكين 1 و + +348 +00:39:50,140 --> 00:39:54,760 +رونسكين 2 و رونسكين 3 لغاية رونسكين N مين هو هذا؟ + +349 +00:39:54,760 --> 00:39:58,720 +هذا ال رونسكين 1 باجي على ال رونسكين ن دي بشيل + +350 +00:39:58,720 --> 00:40:02,880 +العمود الأول و بحط بداله العمود هذا و بحسب قداش + +351 +00:40:02,880 --> 00:40:07,890 +قيمة ال رونسكين طب بدي رونسكين 2بسيب الرونسكين هذا + +352 +00:40:07,890 --> 00:40:13,670 +زي ما هو و بجي على العمود الثاني بشيله كله و بحط + +353 +00:40:13,670 --> 00:40:16,810 +بداله العمود هذا و هكذا الرونسكين ثلاثة رونسكين + +354 +00:40:16,810 --> 00:40:21,210 +لغاية بكملهم كلهم يبقى في هذه الحالة جبتها طب مين + +355 +00:40:21,210 --> 00:40:25,850 +هي ال F1 هذه؟ اه ال F1 هذه لما تيجي المعادلة بد + +356 +00:40:25,850 --> 00:40:30,310 +المعادلة هنا المعامل تبعي يكون جديشهذا يعني أنني + +357 +00:40:30,310 --> 00:40:36,110 +أجسم الطرفين على مين على a node of x يبقى ال F1 هي + +358 +00:40:36,110 --> 00:40:42,270 +عبارة عن Fx مقسومة على ال a node of x يبقى ال F1 + +359 +00:40:42,270 --> 00:40:47,270 +of x هي ال F of x مقسومة على مين على ال a node of + +360 +00:40:47,270 --> 00:40:52,490 +x أصلا واضح كلام هذا طيب الآن في ملاحظة بدنا نشير + +361 +00:40:52,490 --> 00:40:57,290 +إليها الملاحظة كانت تاليةقلتها بس بدنا نعيدها هيا + +362 +00:40:57,290 --> 00:41:00,590 +عندما نستخدم ال variation of parameters لازم يكون + +363 +00:41:00,590 --> 00:41:05,610 +المعامل تبع Y ان هو مين و انسيت و حطيت ال F of X + +364 +00:41:05,610 --> 00:41:11,110 +هذه بدل هذه بصيك كلامك غلط بصيك تحققش و ماتقدرش + +365 +00:41:11,110 --> 00:41:16,250 +تتكاملي تمام يبقى تتأكدي عندما بدك تستخدم التكامل + +366 +00:41:16,250 --> 00:41:20,390 +بتخلي المعامل تبع Y to the derivative ان هو واحد + +367 +00:41:20,390 --> 00:41:24,610 +صحيح تمام هي قطبة الأولى بعدين فينا ملاحظة تانية + +368 +00:41:25,260 --> 00:41:28,720 +بيقول ال equation star هذه لو كانت من الرتبة + +369 +00:41:28,720 --> 00:41:32,680 +الثانية يبقى بدل الرونسكين 1 و نص كنتوا محسبة و + +370 +00:41:32,680 --> 00:41:38,320 +خالصة و جاهزة ايشي بيقول ال C 1 of X بتحط للحل + +371 +00:41:38,320 --> 00:41:42,940 +التاني بإشارة سالب في ال F 1 of X على الرونسكين of + +372 +00:41:42,940 --> 00:41:48,260 +X طيب و ال C2؟ و ال C2 هي الحل الأول في ال 1 of X + +373 +00:41:48,260 --> 00:41:51,850 +على مين؟ على ال W of Xيبقى كمان لابد تحسب + +374 +00:41:51,850 --> 00:41:54,950 +الهيرونيسكو لأ هذا إن كانت من الرتبة الثانية، من + +375 +00:41:54,950 --> 00:41:59,930 +الرتبة التالتة، بدي أرجع عالميا للكلام الأول، واضح + +376 +00:41:59,930 --> 00:42:03,590 +كلام هيك؟ الأمن اللي حطوه على أرض واقعة جالي يحل + +377 +00:42:03,590 --> 00:42:08,430 +المعادلة هذهبقوله تمام يبقى انا بدي ابدا بحل ال + +378 +00:42:08,430 --> 00:42:12,190 +homogenous differential equation كما كنا من قبل + +379 +00:42:12,190 --> 00:42:19,470 +يبقى باجي بقوله هنا let Y تساوي E أُس RX بيه + +380 +00:42:19,470 --> 00:42:21,090 +solution + +381 +00:42:27,760 --> 00:42:36,620 +يبقى هنا the characteristic equation is R تكعيب + +382 +00:42:36,620 --> 00:42:42,820 +زائد R يساوي 0يبقى R في R تربيع زائد واحد بده + +383 +00:42:42,820 --> 00:42:49,640 +يساوي Zero يبقى R تساوي Zero وR تساوي زائد او ناقص + +384 +00:42:49,640 --> 00:42:54,680 +I يبقى بناء عليه بقوله ال complementary solution + +385 +00:42:54,680 --> 00:43:06,080 +YC بده يساوي C واحد في ال E او Zeroزائد C2 Cos X + +386 +00:43:06,080 --> 00:43:12,420 +زائد C3 Sin X لأنه زادة ونقص I ال A بالزيرو والB + +387 +00:43:12,420 --> 00:43:18,860 +بالمين بواحد يبقى هذا الشكل المعادلة + +388 +00:43:18,860 --> 00:43:24,210 +الأصلية بناتها دي سميها ال starالان انا بدي اكتب + +389 +00:43:24,210 --> 00:43:30,330 +شكل ال particular solution للمعادلة star و لاحظي + +390 +00:43:30,330 --> 00:43:34,890 +ان المعامل تبع المشتقة الأولى هو واحد صحيح المرة + +391 +00:43:34,890 --> 00:43:39,210 +هذه يعني لا في لف ولا دور عن الشغل مباشر في هذا + +392 +00:43:39,210 --> 00:43:47,730 +السؤال يبقى باجي بقوله the particular solution + +393 +00:43:47,730 --> 00:43:50,430 +of + +394 +00:44:02,410 --> 00:44:12,710 +يبقى C1 of X زائد C2 of X في Cos X زائد C3 of X في + +395 +00:44:12,710 --> 00:44:20,090 +Sin Xبعد هيك بتروح اجيب الرونسكين يبقى هذا + +396 +00:44:20,090 --> 00:44:25,810 +الرونسكين as a function of x لمين الرونسكين للحلول + +397 +00:44:25,810 --> 00:44:31,670 +التلاتة الحل الأول قداش هنا بنات واحد والحل التاني + +398 +00:44:31,670 --> 00:44:36,690 +cosine ال X والحل التالت sin X يبقى هي ثلاثة حلول + +399 +00:44:36,690 --> 00:44:43,960 +يبقى هي واحد والتاني cosine ال X والتالت sin Xيبقى + +400 +00:44:43,960 --> 00:44:50,280 +المشتقة Zero المشتقة سالب Sine X المشتقة Cos X + +401 +00:44:50,280 --> 00:44:58,140 +كمان مرة Zero ناقص Cos X ناقص Sine X بدي افكه + +402 +00:44:58,140 --> 00:45:05,170 +باستخدام عناصر العمود الأوليبقى واحد فيه قشط بصفه + +403 +00:45:05,170 --> 00:45:11,630 +عموده يبقى sin تربيع ال X زائد cosine تربيع ال X + +404 +00:45:11,630 --> 00:45:16,650 +اللي هو قداشر الواحد بدي أجيب الرونس كين وان as a + +405 +00:45:16,650 --> 00:45:20,810 +function of X بدي أشيل العمود هذا و أستبدله + +406 +00:45:20,810 --> 00:45:31,390 +بالعمود 001والاتنين هدول زي ما هم cos x sin x-sin + +407 +00:45:31,390 --> 00:45:41,050 +x cos x-cos x-sin x ويساويبيدفكه برضه باستخدام + +408 +00:45:41,050 --> 00:45:46,830 +العمود الأول يبقى zero ناقص zero زائد واحد في أشط + +409 +00:45:46,830 --> 00:45:51,250 +بصفه عموده cosine تربيه زائد sine تربيه cosine + +410 +00:45:51,250 --> 00:45:57,430 +تربيه ال X زائد sine تربيه ال X كله بقداش بواحد + +411 +00:45:57,910 --> 00:46:02,810 +يبقى بناء عليه بدي اجيب الرونسكن اتنين as a + +412 +00:46:02,810 --> 00:46:05,910 +function of x يبقى العمودي اللي اللي هو بدي ارجع + +413 +00:46:05,910 --> 00:46:09,970 +كما كان يا بنات اي واحد zero zero العمودي التاني + +414 +00:46:09,970 --> 00:46:13,550 +هو اللي بدي استبدله ب zero zero واحد والعمودي + +415 +00:46:13,550 --> 00:46:20,110 +التالت كما كان sine ال X cosine ال X ناقص sine ال + +416 +00:46:20,110 --> 00:46:25,970 +Xيبقى بناء عليه هذا الكلام يساوي بدا فكه باستخدام + +417 +00:46:25,970 --> 00:46:31,590 +عناصر العمود الأول يبقى وشط بصفه وعموده zero ناقص + +418 +00:46:31,590 --> 00:46:36,470 +cosine ال X يبقى ناقص cosine ال X خلينا نجيب + +419 +00:46:36,470 --> 00:46:43,350 +الرونسكني 3 as a function of X يساوي 1 0 0 العمود + +420 +00:46:43,350 --> 00:46:50,590 +التاني كما هو cosine ال X ناقص sine ال Xوهنا ناقص + +421 +00:46:50,590 --> 00:46:58,270 +cosine ال X وهنا 001 بالشكل اللي اقنعناه بدا افكه + +422 +00:46:58,270 --> 00:47:02,590 +باستخدام عناصر العمود الأول بجوشط بصف و عموده ناقص + +423 +00:47:02,590 --> 00:47:11,780 +sin Xخلّصنا منه، سأحصل على الـ C1 as a function of + +424 +00:47:11,780 --> 00:47:19,880 +X التكامل من أين؟ التكامل للـ Ronskin 1 of X في + +425 +00:47:19,880 --> 00:47:24,260 +الـ F of X لا يوجد فيها تغيير كما هي على الـ + +426 +00:47:24,260 --> 00:47:30,180 +Ronskin of X كله بالنسبة إلى DX يسوى تكامل Ronskin + +427 +00:47:30,180 --> 00:47:35,670 +1 طلعناه بقدرش بواحديبقى هذا واحد فيه ال F of X + +428 +00:47:35,670 --> 00:47:41,410 +اللي يبقى دهشة بنات سك ال X ازاين على سك ال X على + +429 +00:47:41,410 --> 00:47:47,270 +الرونسكين of X الأول برضه واحد كله DX يبقى تكامل + +430 +00:47:47,270 --> 00:47:53,190 +السك لين absolute value لسك ال X زائد تاني ال X + +431 +00:47:53,190 --> 00:47:59,710 +بدنا نجيب C2 as a function of Xيبقى تكامل رنسكين 2 + +432 +00:47:59,710 --> 00:48:06,470 +of x فى f of x على رنسكين of x dx يسوى تكامل + +433 +00:48:06,470 --> 00:48:11,790 +رنسكين 2 هو بناقص cos x + +434 +00:48:22,510 --> 00:48:28,490 +يبقى تكامل لناقص DX يبقى بناقص X و لا تكتبي + +435 +00:48:28,490 --> 00:48:33,650 +Constants لأن كل صلاة و كتاب يعملوا ليه تكرار يبقى + +436 +00:48:33,650 --> 00:48:38,510 +سيبين من التكرار يبقى بكتبها فقط زي هيك بدأ ياخد + +437 +00:48:38,510 --> 00:48:39,590 +C3 + +438 +00:48:46,760 --> 00:48:54,240 +يبقى بيدي C3A of X يبقى يساوي تكامل رونسكين 3 of X + +439 +00:48:54,240 --> 00:49:00,900 +في F of X على رونسكين of X DX Y يساوي الرونسكين 3 + +440 +00:49:00,900 --> 00:49:09,010 +له سالب صين Xوالدالة سك ال X والرمز كان واحد DX + +441 +00:49:09,010 --> 00:49:15,810 +يبقى يساوي تكامل سالف sin X السك مقلب ال cos X DX + +442 +00:49:15,810 --> 00:49:20,570 +اظن البسطة فاضل المقام يبقى الجواب لين absolute + +443 +00:49:20,570 --> 00:49:28,570 +value ل cos X يبقى جبت السيهاتي تلاتة يبقى سار YP + +444 +00:49:28,570 --> 00:49:33,720 +يساوي وين YP يا بناتهيهبدي اشيل الـ C1 الـ C1 + +445 +00:49:33,720 --> 00:49:38,720 +جيبناها اللي هي قداش اللي هي ال N absolute value + +446 +00:49:38,720 --> 00:49:47,480 +لسك ال X زائد تاني ال X زائد C2 وين C2 هيو زائد + +447 +00:49:47,480 --> 00:49:52,280 +اللي هي ناقص X في مين؟ في cosine ال X + +448 +00:50:04,270 --> 00:50:12,930 +يبقى y يسوى yc هي + +449 +00:50:12,930 --> 00:50:23,580 +تحت يبقى c واحدزائد C2 Cos X زائد C3 Sin X زائد YP + +450 +00:50:23,580 --> 00:50:28,540 +هاي و بدى نزله زي ما هو بس ليه خاطر ارتبه يبقى هاي + +451 +00:50:28,540 --> 00:50:36,820 +Sin X في Lin absolute value ل Cos X ناقص X في Cos + +452 +00:50:36,820 --> 00:50:45,600 +X زائد Lin absolute value لسك Xزائد تان ال X وكان + +453 +00:50:45,600 --> 00:50:50,160 +الله بالسر علينا يبقى هذا حل السؤال اللي عندنا + +454 +00:50:50,160 --> 00:50:54,780 +تمام و هكذا يعني الشغل بهذه الطريقة طبعا لو جيبناك + +455 +00:50:54,780 --> 00:50:58,200 +سؤال في الامتحان لن يزيد عن الرتبة التالتة ان + +456 +00:50:58,200 --> 00:51:01,780 +دخلنا في الرتبة الرابعةبدك محدد من الدرجة الرابعة + +457 +00:51:01,780 --> 00:51:05,760 +بياخد وقت كتير و انت تحل فيه يبقى فقط من الدرجة + +458 +00:51:05,760 --> 00:51:11,260 +الثالثة او الدرجة الثانية ان شاء الله لازلنا في + +459 +00:51:11,260 --> 00:51:15,600 +نفس ال section و لما ننتهي بعد في عندى بعض الأمثلة + +460 +00:51:15,600 --> 00:51:20,060 +على نفس الموضوع بالاضافة الى اخر طريقة اللى هي + +461 +00:51:20,060 --> 00:51:24,340 +طريقة reduction of order لاختزال الرتبة للمحاضرة + +462 +00:51:24,340 --> 00:51:26,760 +اليوم بعد الظهر ان شاء الله و تعالى + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/3zZhd_x-pt0_raw.json b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/3zZhd_x-pt0_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..59116eba914a47d09fdc0b495d50bc9f7e9880b1 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/3zZhd_x-pt0_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 126, "start": 0.0, "end": 1.26, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3251953174670537, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.039031982421875, "words": [{"start": 0.0, "end": 1.26, "word": "موسيقى", "probability": 0.742236328125}], "temperature": 1.0}, {"id": 2, "seek": 4492, "start": 20.0, "end": 44.92, "text": "بسم الله الرحمن الرحيم نواصل سيكشن تسعة تلاتة وهي Properties of Laplace Transforms المرة اللي فاتت ذكرنا خواص Laplace Transform وشرحنا هذه الخواص وهي الخواص كتبتها قدامكوا على اللوح بالاضافة الخاصية الأولى هي 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زائد تلاتة يبقى هذا الكلام بده يساوي أربعة factorial على S زائد تلاتة كله to the power five بالشكل اللي عندنا هذا", "tokens": [28814, 15730, 4724, 16254, 5551, 8592, 26895, 28242, 318, 4032, 5551, 4117, 2655, 3555, 3714, 3215, 6027, 11296, 3714, 9957, 318, 8717, 995, 4587, 9381, 2423, 39184, 34, 318, 8717, 995, 4587, 9381, 8717, 995, 4587, 9381, 38637, 1211, 5718, 104, 3660, 37495, 22653, 318, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 5551, 25513, 27884, 36916, 15844, 318, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 28242, 3224, 281, 264, 1347, 1732, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.2342087743764228, "compression_ratio": 1.5751295336787565, "no_speech_prob": 0.0, "words": [{"start": 451.45, "end": 451.81, "word": "إذا", "probability": 0.52716064453125}, {"start": 451.81, "end": 452.17, "word": " بدي", "probability": 0.5787353515625}, {"start": 452.17, "end": 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52, "seek": 112673, "start": 1111.37, "end": 1126.73, "text": "بدي capital F of S اللي هو Laplace transform لها يساوي هذه محسوبة معانا وموجودة في التسعة يبقى هذه اتنين على S تربيع زائد اربع", "tokens": [3555, 16254, 4238, 479, 295, 318, 13672, 1829, 31439, 2369, 6742, 4088, 5296, 11296, 7251, 3794, 995, 45865, 29538, 3714, 5016, 3794, 37746, 3660, 20449, 7649, 995, 4032, 2304, 29245, 23328, 3660, 8978, 16712, 3794, 27884, 7251, 3555, 4587, 7578, 29538, 1975, 2655, 1863, 9957, 15844, 318, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 1975, 25513, 3615], "avg_logprob": -0.24191810319135928, "compression_ratio": 1.2820512820512822, "no_speech_prob": 0.0, "words": [{"start": 1111.37, "end": 1112.09, "word": "بدي", "probability": 0.51708984375}, {"start": 1112.09, "end": 1112.79, "word": " capital", "probability": 0.2353515625}, {"start": 1112.79, "end": 1113.33, "word": " F", "probability": 0.87548828125}, {"start": 1113.33, "end": 1113.79, "word": " of", "probability": 0.9111328125}, 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زائد", "probability": 0.7830403645833334}, {"start": 2012.74, "end": 2013.44, "word": " 2", "probability": 0.80712890625}, {"start": 2013.44, "end": 2014.5, "word": " على", "probability": 0.82373046875}, {"start": 2014.5, "end": 2015.0, "word": " S", "probability": 0.94775390625}, {"start": 2015.0, "end": 2015.82, "word": " تربيع", "probability": 0.8583984375}, {"start": 2015.82, "end": 2017.02, "word": " زائد", "probability": 0.9498697916666666}, {"start": 2017.02, "end": 2018.08, "word": " 1", "probability": 0.9814453125}, {"start": 2018.08, "end": 2018.64, "word": " على", "probability": 0.89599609375}, {"start": 2018.64, "end": 2019.02, "word": " S", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 91, "seek": 203081, "start": 2021.81, "end": 2030.81, "text": "أه يعني القضية مش سهلة مش تطلع بس قرص مرسم لكن شغلي مخك حتى توصل لنصيغة و من ثم ترسم رسم", "tokens": [10721, 3224, 37495, 22653, 25062, 11242, 10632, 37893, 8608, 3224, 37977, 37893, 6055, 9566, 1211, 3615, 4724, 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"probability": 0.68701171875}, {"start": 2352.27, "end": 2352.75, "word": " T", "probability": 0.98095703125}, {"start": 2352.75, "end": 2354.23, "word": " بده", "probability": 0.5146484375}, {"start": 2354.23, "end": 2354.83, "word": " يساوي", "probability": 0.929443359375}, {"start": 2354.83, "end": 2355.87, "word": " capital", "probability": 0.59716796875}, {"start": 2355.87, "end": 2356.67, "word": " F", "probability": 0.9697265625}, {"start": 2356.67, "end": 2357.19, "word": " of", "probability": 0.97802734375}, {"start": 2357.19, "end": 2357.77, "word": " S", "probability": 0.98828125}, {"start": 2357.77, "end": 2358.85, "word": " then", "probability": 0.74169921875}, {"start": 2358.85, "end": 2360.79, "word": " Laplace", "probability": 0.89990234375}, {"start": 2360.79, "end": 2361.77, "word": " inverse", "probability": 0.853515625}, {"start": 2361.77, "end": 2362.79, "word": " ل", "probability": 0.73046875}, {"start": 2362.79, "end": 2363.87, "word": " F", "probability": 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only F Laplace لل F of T بدي ساوي مين اللي هو ال F of S نطرح السؤال التالي How to find", "tokens": [43, 569, 19837, 17340, 24976, 479, 295, 318, 4724, 16254, 8608, 995, 45865, 479, 295, 314, 479, 293, 787, 479, 42498, 19837, 24976, 479, 295, 314, 4724, 16254, 8608, 995, 45865, 3714, 9957, 13672, 1829, 31439, 2423, 479, 295, 318, 8717, 9566, 2288, 5016, 21136, 33604, 6027, 16712, 6027, 1829, 1012, 281, 915], "avg_logprob": -0.27271410878057833, "compression_ratio": 1.3984375, "no_speech_prob": 0.0, "words": [{"start": 2408.4, "end": 2409.28, "word": "Laplace", "probability": 0.5903727213541666}, {"start": 2409.28, "end": 2410.02, "word": " inverse", "probability": 0.8076171875}, {"start": 2410.02, "end": 2410.5, "word": " لل", "probability": 0.323486328125}, {"start": 2410.5, "end": 2410.94, "word": " F", "probability": 0.58203125}, {"start": 2410.94, "end": 2411.38, "word": " of", "probability": 0.87353515625}, {"start": 2411.38, "end": 2411.84, "word": " S", "probability": 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"end": 2455.45, "word": " use", "probability": 0.86083984375}, {"start": 2455.45, "end": 2457.21, "word": " partial", "probability": 0.9482421875}, {"start": 2457.21, "end": 2459.33, "word": " fractions", "probability": 0.861328125}], "temperature": 1.0}, {"id": 109, "seek": 248719, "start": 2461.39, "end": 2487.19, "text": "استخدم الكثور الجزية نمر اتنين use the table الجدول اللي اعطاناك فيها المرة اللي فاتت of some basic some basic Laplace transforms", "tokens": [995, 14851, 9778, 40448, 33251, 12984, 13063, 25724, 11622, 10632, 8717, 29973, 1975, 2655, 1863, 9957, 764, 264, 3199, 25724, 3215, 12610, 13672, 1829, 1975, 3615, 9566, 7649, 995, 4117, 8978, 11296, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 295, 512, 3875, 512, 3875, 2369, 6742, 35592], "avg_logprob": -0.22412109530220428, "compression_ratio": 1.3309859154929577, "no_speech_prob": 0.0, "words": [{"start": 2461.39, "end": 2462.25, "word": "استخدم", "probability": 0.95361328125}, {"start": 2462.25, "end": 2463.29, "word": " الكثور", "probability": 0.75341796875}, {"start": 2463.29, "end": 2464.03, "word": " الجزية", "probability": 0.7439778645833334}, {"start": 2464.03, "end": 2465.05, "word": " نمر", "probability": 0.62451171875}, {"start": 2465.05, "end": 2465.81, "word": " اتنين", "probability": 0.8720703125}, {"start": 2465.81, "end": 2467.65, "word": " use", "probability": 0.61572265625}, {"start": 2467.65, "end": 2469.65, "word": " the", "probability": 0.8056640625}, {"start": 2469.65, "end": 2471.61, "word": " table", "probability": 0.92626953125}, {"start": 2471.61, "end": 2472.97, "word": " الجدول", "probability": 0.8795572916666666}, {"start": 2472.97, "end": 2473.13, "word": " اللي", "probability": 0.68212890625}, {"start": 2473.13, "end": 2473.63, "word": " اعطاناك", "probability": 0.8204752604166666}, {"start": 2473.63, "end": 2473.85, "word": " فيها", "probability": 0.5992431640625}, {"start": 2473.85, "end": 2474.25, "word": " المرة", "probability": 0.923828125}, {"start": 2474.25, "end": 2474.45, "word": " اللي", "probability": 0.88671875}, {"start": 2474.45, "end": 2475.35, "word": " فاتت", "probability": 0.99169921875}, {"start": 2475.35, "end": 2476.19, "word": " of", "probability": 0.87890625}, {"start": 2476.19, "end": 2477.85, "word": " some", "probability": 0.89794921875}, {"start": 2477.85, "end": 2479.99, "word": " basic", "probability": 0.9296875}, {"start": 2479.99, "end": 2481.57, "word": " some", "probability": 0.373046875}, {"start": 2481.57, "end": 2482.51, "word": " basic", "probability": 0.94189453125}, {"start": 2482.51, "end": 2484.45, "word": " Laplace", "probability": 0.80810546875}, {"start": 2484.45, "end": 2487.19, "word": " transforms", "probability": 0.83154296875}], "temperature": 1.0}, {"id": 110, "seek": 251609, "start": 2490.23, "end": 2516.09, "text": "transforms in section تسعة تلاتة نمرة تلاتة use the linear property linear property of", "tokens": [24999, 837, 82, 294, 3541, 6055, 3794, 27884, 6055, 1211, 9307, 3660, 8717, 2304, 25720, 6055, 1211, 9307, 3660, 764, 264, 8213, 4707, 8213, 4707, 295], "avg_logprob": -0.2696759215107671, "compression_ratio": 1.2380952380952381, "no_speech_prob": 0.0, "words": [{"start": 2490.23, "end": 2491.63, "word": "transforms", "probability": 0.578125}, {"start": 2491.63, "end": 2492.51, "word": " in", "probability": 0.76171875}, {"start": 2492.51, "end": 2494.99, "word": " section", "probability": 0.70556640625}, {"start": 2494.99, "end": 2496.91, "word": " تسعة", "probability": 0.9314778645833334}, {"start": 2496.91, "end": 2498.27, "word": " تلاتة", "probability": 0.9420166015625}, {"start": 2498.27, "end": 2500.49, "word": " نمرة", "probability": 0.5549723307291666}, {"start": 2500.49, "end": 2501.79, "word": " تلاتة", "probability": 0.9759521484375}, {"start": 2501.79, "end": 2503.71, "word": " use", "probability": 0.7666015625}, {"start": 2503.71, "end": 2506.09, "word": " the", "probability": 0.69091796875}, {"start": 2506.09, "end": 2507.89, "word": " linear", "probability": 0.9404296875}, {"start": 2507.89, "end": 2510.43, "word": " property", "probability": 0.92431640625}, {"start": 2510.43, "end": 2513.59, "word": " linear", "probability": 0.5185546875}, {"start": 2513.59, "end": 2514.57, "word": " property", "probability": 0.94775390625}, {"start": 2514.57, "end": 2516.09, "word": " of", "probability": 0.9697265625}], "temperature": 1.0}, {"id": 111, "seek": 254498, "start": 2516.77, "end": 2544.99, "text": "الإنفرس يعني زي ما الابلاس ترانسفورم لو خاصية ال linearity فجذلك معكوسه لو خاصية ال linearity يبقى example one find the function f of t that is", "tokens": [6027, 28814, 1863, 5172, 2288, 3794, 37495, 22653, 30767, 1829, 19446, 2423, 16758, 15040, 3794, 6055, 2288, 7649, 3794, 5172, 13063, 2304, 45164, 16490, 33546, 10632, 2423, 8213, 507, 6156, 7435, 8848, 23275, 20449, 4117, 41779, 3224, 45164, 16490, 33546, 10632, 2423, 8213, 507, 7251, 3555, 4587, 7578, 1365, 472, 915, 264, 2445, 283, 295, 256, 300, 307], "avg_logprob": -0.3559321892463555, "compression_ratio": 1.389261744966443, "no_speech_prob": 0.0, "words": [{"start": 2516.77, "end": 2518.09, "word": "الإنفرس", "probability": 0.5081990559895834}, {"start": 2518.09, "end": 2519.05, "word": " يعني", "probability": 0.76611328125}, {"start": 2519.05, "end": 2519.33, "word": " زي", "probability": 0.897216796875}, {"start": 2519.33, "end": 2519.45, "word": " ما", "probability": 0.72265625}, {"start": 2519.45, "end": 2519.85, "word": " الابلاس", "probability": 0.339569091796875}, {"start": 2519.85, "end": 2520.91, "word": " ترانسفورم", "probability": 0.7188546316964286}, {"start": 2520.91, "end": 2521.19, "word": " لو", "probability": 0.8525390625}, {"start": 2521.19, "end": 2521.79, "word": " خاصية", "probability": 0.97900390625}, {"start": 2521.79, "end": 2521.97, "word": " ال", "probability": 0.91015625}, {"start": 2521.97, "end": 2522.59, "word": " linearity", "probability": 0.659423828125}, {"start": 2522.59, "end": 2523.17, "word": " فجذلك", "probability": 0.680419921875}, {"start": 2523.17, "end": 2524.07, "word": " معكوسه", "probability": 0.795166015625}, {"start": 2524.07, "end": 2524.73, "word": " لو", "probability": 0.97802734375}, {"start": 2524.73, "end": 2525.67, "word": " خاصية", "probability": 0.9864908854166666}, {"start": 2525.67, "end": 2526.17, "word": " ال", "probability": 0.96435546875}, {"start": 2526.17, "end": 2527.15, "word": " linearity", "probability": 0.95361328125}, {"start": 2527.15, "end": 2528.55, "word": " يبقى", "probability": 0.9552001953125}, {"start": 2528.55, "end": 2529.47, "word": " example", "probability": 0.83642578125}, {"start": 2529.47, "end": 2531.93, "word": " one", "probability": 0.81494140625}, {"start": 2531.93, "end": 2534.79, "word": " find", "probability": 0.8212890625}, {"start": 2534.79, "end": 2536.67, "word": " the", "probability": 0.84521484375}, {"start": 2536.67, "end": 2537.61, "word": " function", "probability": 0.96923828125}, {"start": 2537.61, "end": 2540.49, "word": " f", "probability": 0.365478515625}, {"start": 2540.49, "end": 2541.07, "word": " of", "probability": 0.62451171875}, {"start": 2541.07, "end": 2541.61, "word": " t", "probability": 0.7998046875}, {"start": 2541.61, "end": 2544.31, "word": " that", "probability": 0.91357421875}, {"start": 2544.31, "end": 2544.99, "word": " is", "probability": 0.966796875}], "temperature": 1.0}, {"id": 112, "seek": 257019, "start": 2546.06, "end": 2570.2, "text": "for if its Laplace transform is ال F of S", "tokens": [2994, 498, 1080, 2369, 6742, 4088, 307, 2423, 479, 295, 318], "avg_logprob": -0.4928385565678279, "compression_ratio": 0.8431372549019608, "no_speech_prob": 0.0, "words": [{"start": 2546.06, "end": 2546.86, "word": "for", "probability": 0.4599609375}, {"start": 2546.86, "end": 2549.7, "word": " if", "probability": 0.255615234375}, {"start": 2549.7, "end": 2554.34, "word": " its", "probability": 0.495849609375}, {"start": 2554.34, "end": 2556.34, "word": " Laplace", "probability": 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{"start": 2573.06, "end": 2574.56, "word": " واحد", "probability": 0.87109375}, {"start": 2574.56, "end": 2575.62, "word": " على", "probability": 0.533203125}, {"start": 2575.62, "end": 2576.18, "word": " اس", "probability": 0.68359375}, {"start": 2576.18, "end": 2576.98, "word": " في", "probability": 0.8251953125}, {"start": 2576.98, "end": 2577.54, "word": " اس", "probability": 0.92138671875}, {"start": 2577.54, "end": 2578.92, "word": " زائد", "probability": 0.8517252604166666}, {"start": 2578.92, "end": 2579.48, "word": " اتنين", "probability": 0.9775390625}, {"start": 2579.48, "end": 2580.12, "word": " لكل", "probability": 0.88330078125}, {"start": 2580.12, "end": 2581.02, "word": " تربيع", "probability": 0.7957763671875}], "temperature": 1.0}, {"id": 114, "seek": 262916, "start": 2600.54, "end": 2629.16, "text": "مرة تانية مانا اقعد تعريف ال inverse Laplace transform Laplace transform لو كان الدالة f of t يساوي f of s يعني exist يبقى then Laplace inverse لهذه الدالة كذلك exist وشكله بيعطيني يعني الدالة الأصلية قبل ما ناخد لها Laplace transform هذا اللي هو بيسميه ال inverse Laplace transform", "tokens": [2304, 25720, 6055, 7649, 10632, 3714, 7649, 995, 1975, 4587, 22488, 37279, 16572, 5172, 2423, 17340, 2369, 6742, 4088, 2369, 6742, 4088, 45164, 25961, 32748, 6027, 3660, 283, 295, 256, 7251, 3794, 995, 45865, 283, 295, 262, 37495, 22653, 2514, 7251, 3555, 4587, 7578, 550, 2369, 6742, 17340, 46740, 24192, 32748, 6027, 3660, 9122, 8848, 23275, 2514, 4032, 8592, 28820, 3224, 4724, 40228, 9566, 1829, 22653, 37495, 22653, 32748, 6027, 3660, 16247, 36520, 10632, 12174, 36150, 19446, 8717, 47283, 3215, 5296, 11296, 2369, 6742, 4088, 23758, 13672, 1829, 31439, 4724, 1829, 38251, 1829, 3224, 2423, 17340, 2369, 6742, 4088], "avg_logprob": -0.25921875357627866, "compression_ratio": 1.8915094339622642, "no_speech_prob": 0.0, "words": [{"start": 2600.54, "end": 2600.9, "word": "مرة", "probability": 0.741455078125}, {"start": 2600.9, "end": 2601.22, "word": " تانية", 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+00:00:41,780 --> 00:00:47,180 +matrix فقلنا أن الـ similar matrix بإذ جدرت لأجي + +6 +00:00:47,180 --> 00:00:53,710 +مصفوفة ثانية K بحيث الـ K هذه non zero matrix يعني أو + +7 +00:00:53,710 --> 00:00:57,610 +non singular matrix ايش يعني؟ يعني المعكوس تبعها + +8 +00:00:57,610 --> 00:01:02,470 +موجود بحيث اللي بيبدأ يسوي الـ K inverse في الـ A في + +9 +00:01:02,470 --> 00:01:06,750 +الـ K تمام؟ وأخدنا على ذلك مثالا واحدا بعد ما + +10 +00:01:06,750 --> 00:01:11,440 +أثبتنا أن إذا كانت الـ A similar لـ B فإن B similar لـ + +11 +00:01:11,440 --> 00:01:14,940 +A وفي نفس اللغة وفي نفس الوقت A is similar to + +12 +00:01:14,940 --> 00:01:18,580 +itself تمام؟ يبقى هذا اللي أخدناه المحاضرة الماضية و + +13 +00:01:18,580 --> 00:01:23,160 +الآن بدنا نضيق .. أخدنا طبعا مثال واحد لسه ياما + +14 +00:01:23,160 --> 00:01:27,500 +ناخد أمثلة فبدنا نبدأ نحط بعض المعلومات النظرية + +15 +00:01:27,500 --> 00:01:33,160 +الأساسية أو العمود الفقري في هذا الـ section بيقول لي + +16 +00:01:33,160 --> 00:01:37,540 +to show that the given n by n matrix is a is + +17 +00:01:37,540 --> 00:01:41,120 +similar to a diagonal matrix و الـ diagonal matrix + +18 +00:01:41,120 --> 00:01:44,180 +هي بكتبها بالشكل هذا من حد ما تشوفيها دي يعني + +19 +00:01:44,180 --> 00:01:49,800 +مصفوفة قطرية جميع عناصرها أصفار معادة عناصر القطر + +20 +00:01:49,800 --> 00:01:57,540 +الرئيسي نأخذ النظرية التالية طبعا من اللمدات هذول + +21 +00:01:57,540 --> 00:02:00,400 +اللمدة واحد واللمدة اثنين واللمدة إن هي الـ eigen + +22 +00:02:00,400 --> 00:02:07,440 +values مش حياله مش أي أرقام يبقى أرقام محددة طيب + +23 +00:02:07,440 --> 00:02:11,480 +النظرية بتقول ايه؟ the n by n matrix A is similar + +24 +00:02:11,480 --> 00:02:16,420 +to a diagonal matrix ملاحظي المرة اللي فاتت بدينا + +25 +00:02:16,420 --> 00:02:21,060 +canvas A K طلعت عندي مصفوفة قطرية في الآخر، مصبوط + +26 +00:02:21,060 --> 00:02:24,920 +ولا لأ؟ المصروف القطرية العمودي الفقري قيمة الـ two + +27 +00:02:24,920 --> 00:02:28,870 +landers اللي طلعت عندي بالضبط يبقى هنا لما أقول الـ + +28 +00:02:28,870 --> 00:02:32,650 +A is similar to a diagonal matrix if and only if + +29 +00:02:32,650 --> 00:02:36,350 +it has a set of linearly independent eigenvectors + +30 +00:02:36,350 --> 00:02:43,250 +K1 و K2 لغاية Km الكلام هذا بدي أعيد صياغته مرة + +31 +00:02:43,250 --> 00:02:48,750 +ثانية باجي بقول that is لو كان عند المصوفة K هذه + +32 +00:02:48,750 --> 00:02:53,670 +مصفوفة K K1 هو العمود الأول K2 العمود الثاني Kn + +33 +00:02:53,670 --> 00:03:01,400 +العمود رقم M وكل eigen vector هذا مناظر لمن؟ مناظر + +34 +00:03:01,400 --> 00:03:04,500 +للـ eigen value اللي هي lambda واحد والثاني lambda + +35 +00:03:04,500 --> 00:03:08,920 +اثنين والثالث lambda ثلاثة والآخر lambda in them الـ + +36 +00:03:08,920 --> 00:03:14,340 +K inverse A في الـ K بده يساوي المصفوفة اللي عندها + +37 +00:03:14,340 --> 00:03:18,880 +دي يعني بده يساوي المصفوفة لجميع عناصرها أصفار ما + +38 +00:03:18,880 --> 00:03:25,450 +عدا عناصر قطر الرئيسي بيكونوا على أسرها هو من؟ هذه + +39 +00:03:25,450 --> 00:03:29,090 +النظرية بتحكي بالكارشاكل أنها دي يبقى لو أعطاني + +40 +00:03:29,090 --> 00:03:35,010 +مصفوفة A بدي أجيب الـ diagonal matrix بتاعها بحيث + +41 +00:03:35,010 --> 00:03:40,090 +العناصر تبع الـ diagonal matrix يكونوا هم الـ eigen + +42 +00:03:40,090 --> 00:03:46,120 +values يبقى بدي أحاول أجيب الـ Eigenvectors اللي + +43 +00:03:46,120 --> 00:03:50,260 +عندنا والـ Eigenvectors بس بيشرّنوا كلهم linearly + +44 +00:03:50,260 --> 00:03:54,260 +independent لأن جالي linearly independent ولو + +45 +00:03:54,260 --> 00:03:58,420 +واحد يعتمد على الثاني كلهم مستقلات عن بعض تمام + +46 +00:03:58,420 --> 00:04:02,220 +الاستقلال يبقى بحصل العالمين على الـ diagonal matrix + +47 +00:04:03,840 --> 00:04:07,760 +الآن بدا أجي للعنوان اللي أنا رافعه المرة اللي فاتت + +48 +00:04:07,760 --> 00:04:11,780 +كنا بنتكلم عن الـ similar matrix فقط ولم نتكلم عن + +49 +00:04:11,780 --> 00:04:15,460 +الـ diagonalization تمام؟ هذا الكلام اللي احنا + +50 +00:04:15,460 --> 00:04:19,140 +بنحكي هو الـ diagonalization واحنا مش ذارين طلع + +51 +00:04:19,140 --> 00:04:20,120 +التريفش بقول + +52 +00:04:24,300 --> 00:04:28,980 +التعريف اللي جابله if a is a similar to a diagonal + +53 +00:04:28,980 --> 00:04:34,880 +matrix يعني هالكلام هذا صحيح then a is said to be + +54 +00:04:34,880 --> 00:04:40,130 +diagonalizable يبقى المصفوفة A بنقدر نعملها على + +55 +00:04:40,130 --> 00:04:46,770 +شكل مصفوفة قطرية يبقى لو كانت المصفوفة similar to a + +56 +00:04:46,770 --> 00:04:50,330 +diagonal matrix automatically بقول أن الـ A دي + +57 +00:04:50,330 --> 00:04:55,180 +diagonalizable طيب التعريف الثاني بيقول لو كانت الـ + +58 +00:04:55,180 --> 00:05:00,600 +A diagonalizable matrix then it possesses يتفترض + +59 +00:05:00,600 --> 00:05:05,100 +in linearly independent eigenvectors يبقى الـ + +60 +00:05:05,100 --> 00:05:08,140 +eigenvectors اللي عندنا عددهم يساوي n بدهم يكونوا + +61 +00:05:08,140 --> 00:05:15,240 +linearly independent وهذه الـ set نسميها complete set + +62 +00:05:15,240 --> 00:05:20,380 +of eigenvectors يبقى هذه المجموعة الكاملة لمين؟ للـ + +63 +00:05:20,380 --> 00:05:24,040 +eigenvectors اللي عندنا على أي حال التعريف + +64 +00:05:24,040 --> 00:05:29,380 +الأولاني دقيق جدا لأنه هيقول لك كيف بدك تخلي المصفوفة + +65 +00:05:29,380 --> 00:05:34,920 +دي diagonal matrix صح؟ السؤال ممكن يطلع هنا نطرح حدث + +66 +00:05:34,920 --> 00:05:39,440 +ونحاول الإجابة عليه نمشي خطوات محددة الآن بعد + +67 +00:05:39,440 --> 00:05:44,080 +قليل فتجي تجي معايا بقول how to diagonalize an n by + +68 +00:05:44,080 --> 00:05:48,180 +n matrix أنا بعطيك مصفوفة لما أعطيك مصفوفة كيف + +69 +00:05:48,180 --> 00:05:55,500 +المصفوفة دي بتكتب عليها على شكل قطري فقط وبحيث + +70 +00:05:55,500 --> 00:06:00,480 +عناصر القطر الرئيسي هما الـ Eigenvalues فقط لا غير + +71 +00:06:00,480 --> 00:06:04,360 +بقول لها بدي أمشي ثلاث خطوات اللي عندنا خطوة الأولى + +72 +00:06:06,680 --> 00:06:10,320 +Find n linearly independent eigenvectors of the + +73 +00:06:10,320 --> 00:06:15,720 +matrix A, C, K1, K2 لغاية Kn وهذا الكلام بيجي احنا + +74 +00:06:15,720 --> 00:06:20,020 +بنوجده في الأمثلة السابقة كل أربع section واحد كان + +75 +00:06:20,020 --> 00:06:24,310 +الـ eigenvalues و الـ eigenvectors إذا الخطوة الأولى + +76 +00:06:24,310 --> 00:06:30,090 +تحصيل حاصل في كل الأمثلة اللي فاتت سواء كانت + +77 +00:06:30,090 --> 00:06:33,530 +complex اللي اللي عنها كانت complex أو real صحيح + +78 +00:06:33,530 --> 00:06:37,830 +ولا لا؟ يجب الخطوة الأولى لم نأتي بجديد نجي الخطوة + +79 +00:06:37,830 --> 00:06:42,690 +الثانية finally matrix K اللي هي عناصرها هم اللي عمود + +80 +00:06:42,690 --> 00:06:48,090 +الأول K واحد K اثنين K ام يبقى هذه برضه كنا بنكتبها + +81 +00:06:48,090 --> 00:06:50,930 +اللي هو العناصر اللي عندنا هذه تبعت الـ + +82 +00:06:50,930 --> 00:06:54,870 +eigenvectors لما نقول الست هذه تسمى الـ bases للـ + +83 +00:06:54,870 --> 00:07:00,260 +eigen spaces تمام؟ يبقى، ايه المصفوفة في هذه؟ Where + +84 +00:07:00,260 --> 00:07:04,840 +العمودات هذول are called eigenvectors يبقى جبنا له + +85 +00:07:04,840 --> 00:07:09,820 +المصفوفة تحصيل حاصل كمان هذه يعني الـ eigenvectors + +86 +00:07:09,820 --> 00:07:13,560 +اللي جبناهم بدك تكتبهم بس على شكل المصفوفة هي اللي + +87 +00:07:13,560 --> 00:07:17,900 +بتقوله منهم الخطوة الثانية يبقى الخطوة الأولى بدي + +88 +00:07:17,900 --> 00:07:21,100 +أجيب الـ eigenvalues و الـ eigenvectors الخطوة + +89 +00:07:21,100 --> 00:07:24,660 +الثانية بدي أكتب الـ eigenvectors على شكل مصفوفة + +90 +00:07:24,660 --> 00:07:30,820 +الخطوة الثالثة دي matrix المصفوفة K إنفرس A K والبـ + +91 +00:07:30,820 --> 00:07:35,080 +A ديAGONAL matrix حديها الرمز D يبقى بتطلع عندك + +92 +00:07:35,080 --> 00:07:39,180 +الـ diagonal يعني بدي أضرب معكوس المصفوفة K اللي + +93 +00:07:39,180 --> 00:07:43,240 +طلعت هنا هنا في اثنين في المصفوفة A الأصلي اللي + +94 +00:07:43,240 --> 00:07:48,180 +عندي في المصفوفة K النتج لازم يطلع المصفوفة اللي + +95 +00:07:48,180 --> 00:07:51,460 +عندنا هذه where lambda I the eigenvector the + +96 +00:07:51,460 --> 00:07:56,580 +eigenvalue corresponding to Ki والـ I من واحد لغاية + +97 +00:07:56,580 --> 00:08:01,200 +مين؟ لغاية الـ N طب حد فيكم بيحب يسأل أي سؤال في + +98 +00:08:01,200 --> 00:08:05,120 +الكلمتين أنا أضغطيك قبل أن نذهب للتطبيق العملي + +99 +00:08:05,120 --> 00:08:11,690 +لهذا الكلام حد فيكوا بيحب يسألوا أي سؤال؟ جاهزين؟ + +100 +00:08:11,690 --> 00:08:16,010 +طيب طبعا تعرفوا الامتحان وجه اليوم 24 اللي هو يوم + +101 +00:08:16,010 --> 00:08:20,750 +الثلاثاء مش بكرا الثلاثاء اللي بعدها الأربعة ولا + +102 +00:08:20,750 --> 00:08:25,470 +الثلاثة؟ الأربعة الأربعة ما فيش مشكلة عادي جدا يبقى + +103 +00:08:25,470 --> 00:08:29,910 +الامتحان يوم الأربعاء اللي هو القادم ساعة قد ايش؟ + +104 +00:08:29,910 --> 00:08:35,140 +ساعتين ثانية بعد ما نخلص المحاضرة بس عند الطلاب مش + +105 +00:08:35,140 --> 00:08:41,920 +عندكم. طيب على أي حال ما علينا يبقى الامتحان كما + +106 +00:08:41,920 --> 00:08:47,280 +هو في chapter 3 وباقي chapter 2 مش هنضيف زيادة + +107 +00:08:47,280 --> 00:08:53,290 +للامتحان انطبع جاهز. هذا هو المثال اللي عندنا بيقول + +108 +00:08:53,290 --> 00:08:57,430 +خذ المصفوفة نظامها اثنين في اثنين زي ما أنت شايف + +109 +00:08:57,430 --> 00:09:01,190 +هات الـ eigen value و الـ eigen vectors يبقى هذا + +110 +00:09:01,190 --> 00:09:04,070 +اللي كنا بنجيبه المرة الماضية في الـ section أربعة + +111 +00:09:04,070 --> 00:09:08,510 +واحد بعدين تبين إن الـ A is diagonalizable يبقى + +112 +00:09:08,510 --> 00:09:15,340 +بعدين تبين أن المصفوفة A بقدر أستبدلها بمصفوفة + +113 +00:09:15,340 --> 00:09:21,180 +قطرية عناصرها هما عناصر من الـ eigenvalues إذا بدي + +114 +00:09:21,180 --> 00:09:28,300 +أبدأ زي ما كنت ببدأ هناك بدي آخذ lambda I ناقص + +115 +00:09:28,300 --> 00:09:36,080 +المصفوفة A وتساوي I lambda وهنا Zero Zero lambda + +116 +00:09:36,080 --> 00:09:38,540 +ناقص المصفوفة A + +117 +00:09:41,740 --> 00:09:46,140 +بالشكل اللي عندنا هذا هذي بتصبح على الشكل التالي + +118 +00:09:46,140 --> 00:09:53,160 +هنا lambda ما فيش غيرها وهنا ناقص واحد وهنا ناقص + +119 +00:09:53,160 --> 00:09:59,820 +اثنين وهنا lambda ناقص واحد بالشكل اللي عندنا هنا + +120 +00:10:00,650 --> 00:10:04,650 +بعد ذلك سأحصل على determinant من خلال الـ + +121 +00:10:04,650 --> 00:10:08,250 +determinant أو المحدد سأحصل على قيم الـ + +122 +00:10:08,250 --> 00:10:14,090 +eigenvalues يبقى سأحصل على determinant لمن؟ لـ + +123 +00:10:14,090 --> 00:10:20,330 +lambda I ناقص الـ A وأساوي بالزيرو يبقى هذا معناه + +124 +00:10:20,330 --> 00:10:26,570 +أن المحدد lambda سالب واحد سالب اثنين lambda سالب + +125 +00:10:26,570 --> 00:10:33,390 +واحد سيساوي بتفك هذا يبقى lambda في lambda ناقص واحد + +126 +00:10:33,390 --> 00:10:39,450 +ناقص اثنين يساوي مين؟ يساوي Zero يبقى المحدد هذا + +127 +00:10:39,450 --> 00:10:46,370 +في lambda تربيع ناقص lambda ناقص اثنين يساوي Zero + +128 +00:10:46,370 --> 00:10:52,770 +بدي أحلل هذا كحاصل ضرب قوسين يبقى أو حاصل ضرب عاملين + +129 +00:10:52,770 --> 00:11:00,050 +يساوي Zero هنا lambda هنا lambda هنا واحد هنا اثنين + +130 +00:11:00,050 --> 00:11:04,930 +هنا ناقص هنا زائد يبقى زائد lambda أو ناقص اثنين + +131 +00:11:04,930 --> 00:11:08,190 +lambda بيبقى ناقص lambda واحدة هي موجودة عندنا + +132 +00:11:08,190 --> 00:11:13,730 +يبقى تحليلنا سليم يبقى بناء عليه lambda تساوي سالب + +133 +00:11:13,730 --> 00:11:17,910 +واحد و lambda تساوي اثنين من هذول البنات + +134 +00:11:21,730 --> 00:11:29,470 +يبقى هذول are the eigenvalues + +135 +00:11:29,470 --> 00:11:39,530 +of the matrix A يبقى هذول اللي هم الـ eigenvalues + +136 +00:11:57,290 --> 00:12:02,270 +بعد ذلك نجيب الـ Eigenvectors يبقى احنا حتى الآن في + +137 +00:12:02,270 --> 00:12:06,390 +الخطوة الأولى لسه جبنا الـ Eigenvalues وبعد ذلك + +138 +00:12:06,390 --> 00:12:09,930 +نجيب الـ Eigenvectors + +139 +00:12:09,930 --> 00:12:16,490 +يبقى بالدّي دي للمصفوفة أو لحاصل الضرب اللي هو مين + +140 +00:12:18,900 --> 00:12:22,260 +هذا كله من أول ومبتدأ الحلقة تعتبر النقطة الأولى + +141 +00:12:22,260 --> 00:12:29,560 +نمرة a احنا أننا lambda I ناقص الـ a في الـ X بيساوي + +142 +00:12:29,560 --> 00:12:32,660 +zero هذه المعادلة الأصلية اللي بنشتغل عليها + +143 +00:12:32,660 --> 00:12:40,440 +ابتدائها من section 4-1 هي هي ما غيرناش هذا معناه + +144 +00:12:42,120 --> 00:12:47,200 +lambda I ناقص اثنين هي هي جازة المصفوفة لأنها ناقص + +145 +00:12:47,200 --> 00:12:52,320 +واحد lambda I ناقص اثنين lambda I ناقص واحد lambda I + +146 +00:12:52,320 --> 00:12:54,480 +ناقص اثنين lambda I ناقص اثنين lambda I ناقص اثنين + +147 +00:12:54,480 --> 00:12:55,100 +lambda I ناقص اثنين lambda I ناقص اثنين lambda I ناقص + +148 +00:12:55,100 --> 00:12:55,320 +اثنين lambda I ناقص اثنين lambda I ناقص اثنين + +149 +00:12:55,320 --> 00:12:55,620 +lambda I ناقص اثنين lambda I ناقص اثنين lambda I ناقص + +150 +00:12:55,620 --> 00:12:59,240 +اثنين lambda I ناقص اثنين lambda I ناقص اثنين + +151 +00:12:59,350 --> 00:13:05,730 +بتأخذ الحالة الأولى لو كانت lambda تساوي سالب واحد + +152 +00:13:05,730 --> 00:13:09,410 +ما فيش اللي بده يصير يبقى بده أشيل كل lambda وأحط + +153 +00:13:09,410 --> 00:13:14,570 +مكانها سالب واحد يبقى بيصير عن هنا سالب واحد سالب + +154 +00:13:14,570 --> 00:13:22,530 +واحد وهنا سالب اثنين سالب اثنين في X واحد X اثنين + +155 +00:13:22,530 --> 00:13:27,650 +كله بده يساوي من Zero و Zero هذا المعادل يجب أن + +156 +00:13:27,650 --> 00:13:32,270 +أفكر المعادلة هذه وأحولها إلى معادلات يعني + +157 +00:13:32,270 --> 00:13:35,070 +المعادلة المصفوفية يجب أن أضربها وأحولها إلى + +158 +00:13:35,070 --> 00:13:41,890 +معادلتين فأقول له ناقص X1 ناقص X2 سيكون Zero وهنا + +159 +00:13:41,890 --> 00:13:49,210 +ناقص 2 X1 ناقص 2 X2 سيكون Zero هذه كانت معادلة يا + +160 +00:13:49,210 --> 00:13:54,000 +بنات معادلة واحدة تنتهي لك في الحقيقة معادلة واحدة + +161 +00:13:54,000 --> 00:14:00,860 +إذا هذه المعادلة الواحدة X1 زائد X2 بده يساوي Zero + +162 +00:14:00,860 --> 00:14:08,820 +ومنها X1 بده يساوي من سالب X2 أو X2 بده يساوي سالب + +163 +00:14:08,820 --> 00:14:17,060 +X1 يبقى باجي بقول له لو كانت الـ X2 بدي أساويها A then X1 + +164 +00:14:17,060 --> 00:14:25,760 +بدي مين؟ سالب A هذا بدي يعطيني the eigen vectors + +165 +00:14:26,750 --> 00:14:37,190 +are in the form على الشكل التالي اللي هما من X1 X2 + +166 +00:14:37,190 --> 00:14:47,310 +بده يساوي X1 اللي هي ناقص A و X2 اللي هي A بالشكل + +167 +00:14:47,310 --> 00:14:51,590 +اللي عندنا أو A في سالب واحد واحد + +168 +00:14:54,310 --> 00:15:00,330 +يبقى طالع عندي هذا هو يمثل mean bases للـ eigen + +169 +00:15:00,330 --> 00:15:06,510 +vector space المناظر للـ eigen value لمن؟ lambda + +170 +00:15:06,510 --> 00:15:08,590 +تساوي سالب واحد + +171 +00:15:17,540 --> 00:15:22,440 +الآن بدنا نجي لمين؟ نأخذ lambda الثانية يبقى باجي + +172 +00:15:22,440 --> 00:15:29,200 +بقول له هنا F lambda الثانية طلعت معانا اثنين + +173 +00:15:29,200 --> 00:15:34,970 +يبقى then لما طلعت lambda تساوي اثنين يبقى المعادلة + +174 +00:15:34,970 --> 00:15:39,390 +المصفوفية هتكون على الشكل التالي هشيل كل lambda وأحط + +1 + +201 +00:18:34,060 --> 00:18:40,500 +الخطوة الثالثة هي المطلوب أن نمر به من المسألة التي + +202 +00:18:40,500 --> 00:18:44,960 +أن a is diagonalizable يعني احنا حتى اللي هن جبناه + +203 +00:18:44,960 --> 00:18:48,640 +ال eigenvalues وال eigenvectors اللي عندنا و + +204 +00:18:48,640 --> 00:18:54,840 +حطناهم على شكل مصفوفة إذا بيداجي لنمر به من + +205 +00:18:54,840 --> 00:19:00,110 +السؤال مش هن جب نمرة به بدي أجي للمصفوفة K و أجيب + +206 +00:19:00,110 --> 00:19:05,170 +من المعكوس سبعها مش هن جب المعكوس سبعها بدي أعرف + +207 +00:19:05,170 --> 00:19:11,510 +قداش ال determinant لل K تمام يبقى المحدد سالب + +208 +00:19:11,510 --> 00:19:18,910 +واحد واحد اثنين ويساوي سالب اثنين سالب واحد ويساوي + +209 +00:19:18,910 --> 00:19:24,870 +قداش سالب ثلاثة وزي ما أنتم شايفين لا يساوي zero + +210 +00:19:24,870 --> 00:19:31,350 +يعني هذه المصفوفة non singular matrix يبقى هذا + +211 +00:19:31,350 --> 00:19:40,570 +معناه أن k is a non singular matrix + +212 +00:19:41,270 --> 00:19:46,830 +ما دام non singular matrix إذا إيه اللي هي معكوس + +213 +00:19:46,830 --> 00:19:52,310 +بدنا نروح نجيب المعكوس تبع هذه المصفوفة ونضربه في + +214 +00:19:52,310 --> 00:19:59,650 +المصفوفة A وكذلك في المصفوفة K تسلم يبقى الآن K + +215 +00:19:59,650 --> 00:20:05,730 +inverse AK إيش بدها تعمل إيش الناتج يا بنات حتى + +216 +00:20:05,730 --> 00:20:07,450 +بتجري تقولي قد ايش الناتج + +217 +00:20:09,990 --> 00:20:15,550 +هما المصفوفة نظام اثنين في اثنين بحيث القطر الرئيسي + +218 +00:20:15,550 --> 00:20:19,910 +هو ناقص واحد واثنين والقطر الرئيسي الثانوي يبقى + +219 +00:20:19,910 --> 00:20:24,270 +أصفار يعني جاب المبدأ لأن هذه المصفوفة هي اللي + +220 +00:20:24,270 --> 00:20:28,830 +بتعملي ال diagonalization للميم للمصفوفة A وبالتالي + +221 +00:20:28,830 --> 00:20:34,850 +بقول ال A is diagonalizable طيب هذا معناه طبعاً + +222 +00:20:34,850 --> 00:20:39,970 +هتعرفيش مين يا بنات؟ الناتج المصفوفة اللي بتطلع لكِ + +223 +00:20:39,970 --> 00:20:44,610 +بقول عليها similar to a مش هتعرف ال similar وكأنه + +224 +00:20:44,610 --> 00:20:48,850 +ال similar هي من؟ هي ال diagonalization هي نفس + +225 +00:20:48,850 --> 00:20:53,350 +العملية بس هنا حطنا لها شغل وكده هناك ما كناش + +226 +00:20:53,350 --> 00:20:57,190 +بنعرف هذا الكلام في المثال اللي طرحناه المحاضرة + +227 +00:20:57,190 --> 00:21:02,010 +الماضية يبقى هذا الكلام يساوي بالداخل لمعكوس + +228 +00:21:02,010 --> 00:21:08,010 +المصفوفة K بنبدل عناصر القطر الرئيسي مكان بعض + +229 +00:21:08,010 --> 00:21:14,130 +وبنغير إشارات عناصر القطر الثانوي وبنجسم على محدد + +230 +00:21:14,130 --> 00:21:19,730 +هذه المصفوفة المحدد هذا كده؟ سالب ثلاثة يبقى هاي + +231 +00:21:19,730 --> 00:21:26,640 +واحد على سالب ثلاثة بتدجي هنا هذا اثنين وهنا سالب + +232 +00:21:26,640 --> 00:21:32,020 +واحد وهنا سالب واحد وهنا سالب واحد غيرت إشارات + +233 +00:21:32,020 --> 00:21:36,060 +عناصر القطر الثانوي وبدلت عناصر القطر الرئيسي مكان + +234 +00:21:36,060 --> 00:21:43,500 +بعض ال a باجي بنزلها كما كانت لها zero واحد اثنين + +235 +00:21:43,500 --> 00:21:52,120 +واحد مصفوفة K كما هي واحد اثنين ويساوي سالب تلت + +236 +00:21:52,120 --> 00:21:57,980 +خليك برا تمام؟ بيضل لأن هنا بدي أضرب المصفوفتين + +237 +00:21:57,980 --> 00:22:04,800 +مثلاً هذا اثنين سالب واحد سالب واحد سالب واحد فيه + +238 +00:22:04,800 --> 00:22:09,880 +بدي أضرب هدول المصفوفتين في بعض يبقى Zero واحد اللي + +239 +00:22:09,880 --> 00:22:15,740 +هو بواحد يبقى Zero واثنين يبقى في اثنين يبقى سالب + +240 +00:22:15,740 --> 00:22:21,440 +اثنين و واحد يبقى سالب واحد اثنين و اثنين يبقى كده + +241 +00:22:21,440 --> 00:22:26,040 +إيش؟ أربعة بالشكل اللي عندنا هنا يبقى هذا الكلام + +242 +00:22:26,040 --> 00:22:32,080 +بدّه يساوي سالب طول فيه نضرب المصفوفتين هدول في بعض + +243 +00:22:32,080 --> 00:22:39,630 +يبقى هنا اثنين وهنا واحد يبقى ثلاثة هنا أربعة + +244 +00:22:39,630 --> 00:22:46,750 +وناقص أربعة يبقى Zero تمام هنا صف ثاني سالب واحد + +245 +00:22:46,750 --> 00:22:51,510 +وموجب واحد يبقى Zero الصف الثاني في العمود الثاني + +246 +00:22:51,510 --> 00:22:57,610 +سالب اثنين وسالب أربعة يبقى سالب ستة بالشكل اللي + +247 +00:22:57,610 --> 00:23:03,690 +عندنا ده بدي أضرب كل العناصر في سالب طول يبقى هذا + +248 +00:23:03,690 --> 00:23:08,970 +بيعطيكوا قد ايش؟ سالب واحد وهنا Zero وهنا Zero سالب + +249 +00:23:08,970 --> 00:23:14,230 +مع سالب موجب وهنا باثنين اطلع لي عناصر القطر + +250 +00:23:14,230 --> 00:23:18,810 +الرئيسي سالب واحد واثنين هي قيم main ال eigen value + +251 +00:23:18,810 --> 00:23:23,970 +المعنى هذا الكلام أن ال a is diagonalizable يبقى + +252 +00:23:23,970 --> 00:23:31,720 +هنا الـ A is diagonalizable + +253 +00:23:31,720 --> 00:23:34,040 +وهو المطلوب + +254 +00:24:01,920 --> 00:24:11,060 +نأخذ الملاحظة هذه remark it + +255 +00:24:11,060 --> 00:24:22,540 +should be noted that it should be noted that يجب + +256 +00:24:22,540 --> 00:24:29,060 +ملاحظة أن not every square matrix not every + +257 +00:24:32,360 --> 00:24:45,100 +square matrix مش كل مصفوفة مربعة is similar to + +258 +00:24:45,100 --> 00:24:51,880 +a diagonal matrix + +259 +00:24:51,880 --> 00:24:58,860 +because السبب + +260 +00:25:01,690 --> 00:25:11,770 +بسبب أن ليس كل مقاطع كل مجموعة + +261 +00:25:11,770 --> 00:25:19,870 +لديها + +262 +00:25:19,870 --> 00:25:26,650 +مجموعة كاملة كمجموعة + +263 +00:25:31,150 --> 00:25:38,230 +complete set of eigenvectors + +264 +00:25:38,230 --> 00:25:41,450 +example + +265 +00:25:41,450 --> 00:25:48,430 +is + +266 +00:25:48,430 --> 00:25:57,750 +the matrix A تساوي + +267 +00:25:58,890 --> 00:26:07,490 +اثنين ثلاثة صفر اثنين Similar to + +268 +00:26:07,490 --> 00:26:10,890 +a diagonal matrix + +269 +00:26:36,780 --> 00:27:04,360 +العمود هذا لازم خلاص خلي + +270 +00:27:04,360 --> 00:27:10,490 +بالكم الملاحظة اللي كتبناها المثال اللي جاب لو كان + +271 +00:27:10,490 --> 00:27:13,810 +هنا مصفوفة مربعة نظام اثنين في اثنين لقيناها + +272 +00:27:13,810 --> 00:27:18,010 +diagonalizable لما نسأل هل المصفوفة دي + +273 +00:27:18,010 --> 00:27:22,370 +diagonalizable ولا لا أنا بفهم منها شغلتين الشغل + +274 +00:27:22,370 --> 00:27:26,130 +الأولى قد تكون diagonalizable وقد لا تكون + +275 +00:27:26,130 --> 00:27:31,060 +diagonalizable إذا ما بنقدر نقول مش كل مصفوفة + +276 +00:27:31,060 --> 00:27:36,100 +similar to أي مصفوفة أخرى ليس بالضرورة أو بمعنى + +277 +00:27:36,100 --> 00:27:41,760 +آخر مش كل مصفوفة بتكون diagonalizable طيب كيف بدنا + +278 +00:27:41,760 --> 00:27:46,300 +نثبت صحة هذا الكلام أو كيف بدنا نبين هذا الكلام؟ + +279 +00:27:46,300 --> 00:27:49,120 +إيش بقول لي هنا في الملاحظة دي؟ + +280 +00:27:57,900 --> 00:28:07,700 +مش كل مصفوفة مربعة مشكلة مش كل مصفوفة + +281 +00:28:07,700 --> 00:28:11,600 +مربعة مشكلة + +282 +00:28:11,600 --> 00:28:12,280 +مش كل + +283 +00:28:14,720 --> 00:28:18,640 +square matrix المصفوفة المربعة و complete set of + +284 +00:28:18,640 --> 00:28:24,120 +eigenvalues تعالَ نترجم هذا الكلام على أرض الواقع + +285 +00:28:24,120 --> 00:28:27,100 +المعطيني المصفوفة وجالي يشوف لي هل هذه + +286 +00:28:27,100 --> 00:28:32,180 +diagonalizable ولا not diagonalizable إذا بدي أمشي + +287 +00:28:32,180 --> 00:28:35,940 +مثل ما مشيت في المثال اللي طوى شوف حالي إلى وين + +288 +00:28:35,940 --> 00:28:41,280 +بدي أوصل هل بقدر أكمل ولا بقدرش أكمل إذا ما قدرش + +289 +00:28:41,280 --> 00:28:45,360 +أكمل إيش الشيء اللي خلاني ما قدرش أكمل الحكي تبعي + +290 +00:28:45,360 --> 00:28:52,280 +بقول له بسيطة إذا أنا بدي أبدأ ب lambda I ناقص ال a + +291 +00:28:52,280 --> 00:29:02,480 +يبقى اللي هي mean lambda 00 lambda ناقص ال a 2302 + +292 +00:29:02,480 --> 00:29:10,830 +ويساوي هنا lambda ناقص اثنين وهنا ناقص ثلاثة و Zero + +293 +00:29:10,830 --> 00:29:16,590 +كزي ما هو وهنا lambda ناقص اثنين بشكل اللي عندنا + +294 +00:29:16,590 --> 00:29:25,080 +هذا بدي آخذ المحدد يبقى determinant لـ lambda I ناقص + +295 +00:29:25,080 --> 00:29:32,580 +ال a ويساوي المحدد lambda ناقص اثنين ناقص ثلاثة Zero + +296 +00:29:32,580 --> 00:29:39,270 +lambda ناقص اثنين يبقى هذا lambda ناقص اثنين لكل + +297 +00:29:39,270 --> 00:29:45,470 +تربيع ناقص ال Zero هذا الكلام بدّه يساوي Zero يبقى + +298 +00:29:45,470 --> 00:29:51,210 +هذا معناه أن ال lambda ناقص اثنين لكل تربيع يساوي + +299 +00:29:51,210 --> 00:29:56,410 +Zero هذه معادلة من أي درجة؟ من درجة اثنين يبقى لها كم + +300 +00:29:56,410 --> 00:30:00,890 +حل؟ حلين يبقى هذه المعادلة لها حلين + +301 +00:30:05,540 --> 00:30:12,540 +يبقى هذا الكلام بناء عليه أن lambda واحد تساوي + +302 +00:30:12,540 --> 00:30:19,850 +lambda اثنين تساوي اثنين بناء عليه سأحصل على + +303 +00:30:19,850 --> 00:30:27,190 +ال eigenvectors المناظرة لمن؟ لـ lambda تساوي اثنين + +304 +00:30:27,190 --> 00:30:32,930 +يبقى باجي بقول هنا لو أخذنا lambda واحد تساوي اثنين + +305 +00:30:32,930 --> 00:30:40,090 +تمام؟ بدي أروح آخذ من؟ lambda I ناقص الـ A في الـ X + +306 +00:30:40,090 --> 00:30:47,130 +كل هذا الكلام بدّه يساوي Zero هذا بدّه يعطيني lambda + +307 +00:30:47,130 --> 00:30:52,150 +اي ناقص لها هذه المصفوفة هشيل lambda هذه وأكتب + +308 +00:30:52,150 --> 00:30:58,540 +مكانها قد ايش؟ وأكتب مكانها اثنين بيصير هايها هاي + +309 +00:30:58,540 --> 00:31:02,240 +lambda ناقص اثنين ولا شيء تقولي من وين اجت وهنا + +310 +00:31:02,240 --> 00:31:10,760 +ناقص ثلاثة وهنا Zero وهنا lambda ناقص اثنين وهاد + +311 +00:31:10,760 --> 00:31:16,820 +ال X واحد X اثنين بدها تساوي Zero و Zero بالشكل + +312 +00:31:16,820 --> 00:31:21,810 +اللي عندنا هنا يبقى لما lambda تساوي اثنين بيصير + +313 +00:31:21,810 --> 00:31:26,970 +المصفوفة لأنها تبقى كم؟ Zero وهذه سالب ثلاثة وهذه + +314 +00:31:26,970 --> 00:31:33,690 +Zero وهذه Zero في X واحد X اثنين بدها تساوي Zero و + +315 +00:31:33,690 --> 00:31:39,730 +Zero يبقى الصف الأول في العمود الأول بيعطينا مين؟ + +316 +00:31:39,730 --> 00:31:45,130 +بيعطينا سالب ثلاثة X اثنين يساوي Zero في غير هي + +317 +00:31:45,130 --> 00:31:51,940 +كده؟ ما أعطانيش إلا معادلة واحدة بمجهول واحد كل + +318 +00:31:51,940 --> 00:31:57,060 +اللي بقدر أقوله من هذه المعادلة أن ال X2 بدها تساوي + +319 +00:31:57,060 --> 00:32:05,550 +قد ايش؟ طب وال X1 أي رقم؟ مين مكان يكون يبقى باجي + +320 +00:32:05,550 --> 00:32:14,170 +بقول له and X اثنين بدها تساوي ال A say مثلاً يعني اه + +321 +00:32:14,170 --> 00:32:17,270 +وقع كيف؟ بسمع + +322 +00:32:19,810 --> 00:32:31,730 +يبقى X1 يبقى X1 يبقى X1 + +323 +00:32:31,730 --> 00:32:40,890 +يبقى X1 يبقى X1 يبقى X1 يبقى X1 يبقى X1 يبقى X1 + +324 +00:32:40,890 --> 00:32:43,450 +يبقى X1 يبقى + +325 +00:32:46,580 --> 00:32:55,980 +تو lambda واحد تساوي اثنين are in the form على + +326 +00:32:55,980 --> 00:33:04,040 +الشكل التالي X واحد X اثنين يساوي X واحد اللي هو بـ + +327 +00:33:04,040 --> 00:33:09,700 +A و X اثنين اللي هو بقد ايش؟ ب Zero اللي يساوي A في + +328 +00:33:09,700 --> 00:33:14,260 +واحد Zero طب + +329 +00:33:14,260 --> 00:33:21,480 +lambda مكررة يبقى الثانية زيها صح ولا لأ؟ يبقى also + +330 +00:33:21,480 --> 00:33:28,240 +the eigenvectors + +331 +00:33:28,240 --> 00:33:35,900 +corresponding to + +332 +00:33:35,900 --> 00:33:45,480 +lambda اثنين تساوي اثنين are in the four + +333 +00:33:47,770 --> 00:33:54,870 +يبقى أصبحت على الشكل التالي اللي هو بي مثلاً لكن هي + +334 +00:33:54,870 --> 00:34:00,370 +هي نفسها ما تغيرتش يبقى ليس بي وإنما إيه؟ في واحد + +335 +00:34:00,370 --> 00:34:01,070 +صفر + +336 +00:34:04,190 --> 00:34:09,650 +طيب تعالَ نشوف في هذه الحالة شو شكل المصفوفة K + +337 +00:34:09,650 --> 00:34:14,310 +المصفوفة K بحط فيها ال Eigen vectors مظبوطة ولا لأ؟ + +338 +00:34:14,310 --> 00:34:24,210 +يبقى بناء عليه المصفوفة K بدها تساوي 1 0 1 0 + +339 +00:34:24,210 --> 00:34:26,070 +تمام + +340 +00:34:28,060 --> 00:34:32,700 +لو رجعنا لـ a similar to b يقول لنا if there exists a + +341 +00:34:32,700 --> 00:34:38,620 +non singular matrix K such that تمام؟ بدنا نشوف هل + +342 +00:34:38,620 --> 00:34:42,220 +هذه singular ولا non singular + +343 +00:34:44,480 --> 00:34:49,600 +يبقى احنا بنات هنا طلعنا المصفوفة K تبعت ال + +344 +00:34:49,600 --> 00:34:54,480 +eigenvectors على الشكل اللي عندنا هذا جينا أخذنا + +345 +00:34:54,480 --> 00:34:59,300 +المحدد اللي لها وجينا المحدد اللي يساوي مين؟ Zero + +346 +00:34:59,300 --> 00:35:03,780 +مدام المحدد Zero يعني ال K inverse does not exist + +347 +00:35:03,780 --> 00:35:09,760 +لأن المصفوفة اللي لها معكوس هي المصفوفة اللي محددها + +348 +00:35:09,760 --> 00:35:15,700 +لا يساوي Zero تمام؟ يساوي زيرو يبقى جهدي مش موجودة، + +349 +00:35:15,700 --> 00:35:20,980 +مدن مش موجودة، إذا لا يمكن تبقى المصفوفة similar to + +350 +00:35:20,980 --> 00:35:24,560 +a diagonal matrix أو المصفوفة بقول عنها هي + +351 +00:35:24,560 --> 00:35:29,160 +diagonalizable يعطيكم العافية diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/9ztjtNMsYXg.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/9ztjtNMsYXg.srt new file mode 100644 index 0000000000000000000000000000000000000000..378fd14ff2bc0d269e50748c2a2e07c43d41e9fc --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/9ztjtNMsYXg.srt @@ -0,0 +1,1628 @@ +1 +00:00:19,760 --> 00:00:25,200 +بسم الله الرحمن الرحيم ننتقل الآن إلى شبتر تسعة + +2 +00:00:25,200 --> 00:00:31,020 +شبتر تسعة يتحدث عن لابلاس transforms تحويلات + +3 +00:00:31,020 --> 00:00:36,440 +لابلاس التحويلات هذه؟ هذه أحيانًا بيكون الدالة + +4 +00:00:36,440 --> 00:00:41,860 +صعبة التعامل معها فنحولها إلى صورة مكافئة لها + +5 +00:00:41,860 --> 00:00:46,520 +سهل التعامل معها هذه التحويلة نسميها تحويلة + +6 +00:00:46,520 --> 00:00:51,580 +Laplace لأن هو الذي اكتشف الشغل هذه. نأخذ أول + +7 +00:00:51,580 --> 00:00:55,340 +section في هذا الشبتر اللي هو the Laplace transform + +8 +00:00:55,340 --> 00:01:00,700 +سنعطي تعريف ومن ثم نأخذ أمثلة مختلفة على كيفية + +9 +00:01:00,700 --> 00:01:07,060 +حساب the Laplace transform للدوال المختلفة. يقول + +10 +00:01:07,060 --> 00:01:11,000 +افترض أن الـ f of t هي function معرفة على الفترة + +11 +00:01:11,000 --> 00:01:15,830 +من zero إلى infinity. Laplace transform the function f + +12 +00:01:15,830 --> 00:01:20,670 +of t denoted by يبقى Laplace transform لدالة f of + +13 +00:01:20,670 --> 00:01:26,870 +t نعطيه رمز L of f of t يعني Laplace لـ F of T + +14 +00:01:26,870 --> 00:01:32,330 +الـ L هذه الحرف الأول لكلمة Laplace أو capital F + +15 +00:01:32,330 --> 00:01:36,650 +of S يعني نعتبره function في من؟ function في S + +16 +00:01:36,650 --> 00:01:41,010 +لماذا function في S؟ هذا مثلًا نجيب عليه بعد قليل + +17 +00:01:41,580 --> 00:01:45,760 +يقول للابلاس ترانسفورم الـ F of T أو الـ F of S is + +18 +00:01:45,760 --> 00:01:52,680 +defined by كابيتال F of S يساوي تكامل من 0 إلى إنفينيتي + +19 +00:01:52,680 --> 00:01:58,620 +للـ E ناقص ST للـ F of T دي T حيث S parameter أو any + +20 +00:01:58,620 --> 00:02:03,100 +real number. هذا الآن واضح أنه improper integral + +21 +00:02:03,100 --> 00:02:04,340 +بسبب وجود man + +22 +00:02:12,050 --> 00:02:16,210 +عن طريق الـ Limit بيبدأ تذهب إلى الـ Infinity لمن؟ + +23 +00:02:16,210 --> 00:02:17,850 +لتكامل من Zero إلى B + +24 +00:02:21,360 --> 00:02:26,240 +نُخلي P تروح لـ Infinity وبالتالي أوجدنا لـ Laplace + +25 +00:02:26,240 --> 00:02:31,460 +transform. نتيجتي التكامل لازم تطلع function في S + +26 +00:02:31,460 --> 00:02:37,320 +ومن هنا قولنا F of S ضروري جدا لازم تطلع function + +27 +00:02:37,320 --> 00:02:41,650 +في S زي ما هنشوف الآن. أول مثال قال لي خذ للـ F of T + +28 +00:02:41,650 --> 00:02:45,450 +و سو E أس AT و T greater than or equal to zero + +29 +00:02:45,450 --> 00:02:49,770 +قال لي هاتي لابلاس للـ E أس AT طبعًا الـ area number + +30 +00:02:49,770 --> 00:02:54,470 +و هاتي لابلاس للواحد و لابلاس لـ E أس ناقص AT و + +31 +00:02:54,470 --> 00:02:58,630 +لابلاس لـ E أس ناقص خمسة T. يعني تطبيق مباشر دي + +32 +00:02:58,630 --> 00:03:05,000 +تطبيق مباشر على C. إذا بدأنا نحسب لابلاس ترانسفورم + +33 +00:03:05,000 --> 00:03:11,760 +للدالة الأولى يبقى هذا لابلاس ترانسفورم للـ E أُس AT + +34 +00:03:11,760 --> 00:03:16,520 +بدي أرجع للتعريف يبقى هو تكامل من Zero إلى + +35 +00:03:16,520 --> 00:03:23,180 +Infinity للـ E أُس ناقص ST الـ F of T أنا ماخذها E + +36 +00:03:23,180 --> 00:03:26,340 +أُس AT كله في DT + +37 +00:03:34,330 --> 00:03:40,950 +يبقى هذا الكلام بده يساوي limit وهي تكامل من zero + +38 +00:03:40,950 --> 00:03:49,630 +إلى B لما B tends to infinity للـ E أس ناقص S ناقص + +39 +00:03:49,630 --> 00:03:57,170 +A كله في T dt. يبقى كتابة هذا التكامل على شكل limit + +40 +00:03:57,170 --> 00:04:02,750 +يعني بدي أكامل هذه الدالة ثم أروح آخذ لها الـ limit + +41 +00:04:02,750 --> 00:04:10,770 +هذا الكلام بده يساوي. يبقى لابلاس للـ E أُس AT بده + +42 +00:04:10,770 --> 00:04:15,490 +يساوي هي الـ limit وهذا الـ B بدها تروح للـ infinity + +43 +00:04:16,130 --> 00:04:20,470 +أظن يا بنات تكامل الـ exponential بنفس الـ + +44 +00:04:20,470 --> 00:04:26,830 +exponential itself مقسوما على تفاضل S إن كانت الـS + +45 +00:04:26,830 --> 00:04:30,710 +من الدرجة الأولى وزي ما أنتم شايفين هو من الدرجة + +46 +00:04:30,710 --> 00:04:37,230 +الأولى في T يبقى مقسوما على ناقص الـ S ناقص الـ A + +47 +00:04:37,230 --> 00:04:43,240 +والحكي هذا كله من Zero لوين؟ من Zero لغاية B. إذا + +48 +00:04:43,240 --> 00:04:48,160 +بدنا نعوض بحدود التكامل يبقى هذا الكلام بده يساوي + +49 +00:04:48,160 --> 00:04:54,100 +الـ limit لما B tends to infinity للـ E أس ناقص S + +50 +00:04:54,100 --> 00:05:01,260 +ناقص الـ A في B على مين؟ على ناقص الـ S ناقص الـ A + +51 +00:05:01,260 --> 00:05:06,850 +ناقص مع ناقص بصير زائد. بدي أشيل الـ T وأضع + +52 +00:05:06,850 --> 00:05:10,950 +مكانها Zero يبقى هذا الـ Laplace يصبح E و الـ Zero + +53 +00:05:10,950 --> 00:05:19,350 +يبقى داشر بواحد يبقى زائد واحد على S ناقص الـ A + +54 +00:05:19,350 --> 00:05:24,630 +بالشكل اللي عندنا هنا. يبقى أصبح لابلاس ترانسفورم + +55 +00:05:24,630 --> 00:05:32,370 +للدالة E أس A T بدي أساوي طبعًا هذا الـ O السالب ممكن + +56 +00:05:32,370 --> 00:05:37,110 +أنزلّه تحت إيش بيصير؟ بيصير موجب. يبقى بيصير limit + +57 +00:05:37,110 --> 00:05:45,870 +لما B tends to infinity لواحد على ناقص الـ S ناقص + +58 +00:05:45,870 --> 00:05:55,990 +الـ A في E أس S ناقص الـ A كله في B زائد واحد على S + +59 +00:05:55,990 --> 00:06:01,940 +ناقص الـ A. الحين لما بيبدأ تروح لـ zero هذا المقدار + +60 +00:06:01,940 --> 00:06:09,220 +كله بقداش؟ لما تروح لمالها نهاية هذا المقدار كله + +61 +00:06:09,220 --> 00:06:10,940 +مالها نهاية في رقم + +62 +00:06:14,430 --> 00:06:19,930 +يبقى هذا كله راح بزيرو يبقى ضلّت النتيجة واحد على S + +63 +00:06:19,930 --> 00:06:25,550 +ناقص الـ A بشرط أن الـ S is greater than A يبقى بناء + +64 +00:06:25,550 --> 00:06:29,510 +عليه من الآن فصاعدًا Laplace transform للـ + +65 +00:06:29,510 --> 00:06:34,490 +exponential function E أس AT هو عبارة عن واحد على + +66 +00:06:34,490 --> 00:06:39,880 +S ناقص الـ A. انتهينا منها. طيب أن المطلوب الأول + +67 +00:06:39,880 --> 00:06:45,820 +بيدّاجي للمطلوب الثاني. نمرا بي، نمرا بي أيوة، آخر شرط + +68 +00:06:45,820 --> 00:06:49,820 +نقصنا أكثر من إيه؟ بدي مشان أضمن أنه ما صلّتش سالبة + +69 +00:06:49,820 --> 00:06:54,880 +دائمًا أنا بدي S جريتر ده نقصها. طيب الآن بيدّاجي + +70 +00:06:54,880 --> 00:07:00,180 +لنمرا بي، نمرا بي. بدي لابلاس للـ one. هل بقدر أجرب أن + +71 +00:07:00,180 --> 00:07:07,320 +أُجيب الواحد الصحيح من الـ E أس ET هذي + +72 +00:07:07,320 --> 00:07:13,490 +نقدر؟ لو حطينا الـ a بقد إيش؟ Zero. يبقى بأجي بقول له هنا + +73 +00:07:13,490 --> 00:07:22,130 +F الـ a تساوي zero then Laplace transform للـ e أو + +74 +00:07:22,130 --> 00:07:27,850 +الـ zero هو Laplace transform لمن؟ للواحد. يعني هنا + +75 +00:07:27,850 --> 00:07:33,830 +هشيل الـ a وأحط مكانها zero يبقى واحد على s ناقص + +76 +00:07:33,830 --> 00:07:40,620 +الـ zero يبقى بهولة بقدر 1 على S. إذا من الآن فصاعدًا + +77 +00:07:40,620 --> 00:07:48,480 +لابلاس ترانسفورم للواحد الصحيح هي 1 على S. طيب نمرا + +78 +00:07:48,480 --> 00:07:57,560 +C جالي بدّه لابلاس ترانسفورم للـ E أس ناقص AT هذه + +79 +00:07:57,560 --> 00:08:03,340 +نمرا C شو بتفرج عن الـ A؟ بس الـ A بالسالب. إذا بدي + +80 +00:08:03,340 --> 00:08:06,620 +آخذ الإجابة اللي حصلت عليها فوق وأحط الـ A + +81 +00:08:06,620 --> 00:08:12,860 +بالسالب. يبقى هذا الكلام دي سواء 1 على S ناقص بدل + +82 +00:08:12,860 --> 00:08:20,310 +الـ A أجانِب ناقص A يبقى 1 على S زائد الـ A. نمرا دي + +83 +00:08:20,310 --> 00:08:27,310 +جالي هتلي لابلاس ترانسفورم لـ E أس ناقص خمسة T يبقى + +84 +00:08:27,310 --> 00:08:33,330 +واحد على S زائد خمسة لأن هذا هو حالة خاصة للي + +85 +00:08:33,330 --> 00:08:39,110 +عندنا. هذا إيه؟ بهي حسبنا لابلاس ترانسفورم لدوالين + +86 +00:08:39,110 --> 00:08:41,670 +مختلفة. example two + +87 +00:08:51,800 --> 00:08:57,540 +بقول find نمرا + +88 +00:08:57,540 --> 00:09:10,360 +A لابلاس ترانسفورم لـ sin AT نمرا B لابلاس ترانسفورم + +89 +00:09:10,360 --> 00:09:24,710 +لـ cos AT. نمرا الـ c لابلاس ترانسفورم لـ cos cos 5t + +90 +00:09:24,710 --> 00:09:35,410 +خلي + +91 +00:09:35,410 --> 00:09:43,800 +بركتي. بدّي آخذ نمرا إيه؟ بدي لابلاس ترانسفورم لـ sin A + +92 +00:09:43,800 --> 00:09:48,580 +تي. بدي أرجع للتعريف اللي عندنا يبقى هو تكامل من + +93 +00:09:48,580 --> 00:09:58,520 +zero إلى infinity للـ E أس ناقص ST لـ sin A تي دي تي + +94 +00:09:58,520 --> 00:10:06,480 +طبعًا يبقى هذا هو عبارة عن مين؟ عبارة عن limit لما B + +95 +00:10:06,480 --> 00:10:13,320 +tends to infinity لتكامل من zero لـ B لـ E أس ناقص ST + +96 +00:10:13,320 --> 00:10:24,340 +cosine AT sin AT DT sin AT DT + +97 +00:10:24,340 --> 00:10:28,380 +طب + +98 +00:10:28,380 --> 00:10:34,340 +كيف بنكمل هذا يا مناسي؟ شو الطريقة؟ بن calculate B + +99 +00:10:36,410 --> 00:10:39,210 +بدي واحدة تحكي أنا ما أدّيش الهمّامات. بدي واحدة ترفع + +100 +00:10:39,210 --> 00:10:41,950 +إيديها وتحكي آه integration by parts integration + +101 +00:10:41,950 --> 00:10:45,370 +by parts. تمام؟ وهنا زي ما يقولوا ضرب العميان + +102 +00:10:45,370 --> 00:10:49,110 +الصيف إيش ما تأخذ صح إن أخذت الـ U تساوي الـ + +103 +00:10:49,110 --> 00:10:53,150 +exponential والـ DV تساوي الـ cosine. ماشي؟ إن عملت + +104 +00:10:53,150 --> 00:10:58,270 +العملية العكسية أخذت الـ U هي الـ sine والـ DV هي الـ + +105 +00:10:58,270 --> 00:11:02,600 +exponential ماعندناش مشكلة. يبقى كل ما تأخذ الاتنين + +106 +00:11:02,600 --> 00:11:10,140 +صحيح. يبقى أنا بدي آخذ الـ U تساوي E أس ناقص ST و + +107 +00:11:10,140 --> 00:11:19,820 +بدي آخذ الـ DV Sin AT. بدي الـ DU يبقى ناقص S E أس + +108 +00:11:19,820 --> 00:11:32,010 +ناقص ST DT. بدي الـ V ناقص Cos AT على A. يبقى النتيجة + +109 +00:11:32,010 --> 00:11:39,290 +هذه بدها تساوي limit لما B tends to infinity لمن؟ + +110 +00:11:39,290 --> 00:11:44,510 +لـ الـ U في الـ V يبقى هي الـ U والـ V اللي هو ناقص + +111 +00:11:44,510 --> 00:11:56,510 +واحد على A في E أس ناقص ST في cosine AT. هذا الـ U + +112 +00:11:56,510 --> 00:12:06,050 +في الـ V. ناقص تكامل V ده. UV ناقص cosine AT على A + +113 +00:12:06,050 --> 00:12:16,750 +دالة ناقص S E أُس ناقص ST كله بالنسبة إلى DT. طبعًا + +114 +00:12:16,750 --> 00:12:21,910 +كوني كامل تبقى حدود التكامل هذه هتبقى من وين لوين؟ + +115 +00:12:21,910 --> 00:12:30,010 +من zero لغاية B وهذا كمان تكامل من zero لغاية B و + +116 +00:12:30,010 --> 00:12:34,570 +limit للكل من هنا لما نكمل من هنا + +117 +00:12:42,160 --> 00:12:47,560 +بتعوض بالقيمة اللي فوق ناقص القيمة اللي تحتها. يبقى + +118 +00:12:47,560 --> 00:12:59,450 +هنا ناقص cosine AB على A في E أس SB. نزلت الـ + +119 +00:12:59,450 --> 00:13:03,910 +exponential تحت بإشارة موجبة. هذا التعويض الأول + +120 +00:13:03,910 --> 00:13:11,630 +ناقص مع ناقص بصير زائد. كوساين صفر بواحد و E of zero + +121 +00:13:11,630 --> 00:13:19,020 +بواحد بظل عندي هنا بس كدهش واحد على إيه. و أي limit + +122 +00:13:19,020 --> 00:13:24,280 +للكل. نجي للي بعد هذه. عندك هنا ناقص وهنا ناقص و + +123 +00:13:24,280 --> 00:13:31,160 +هنا ناقص يبقى ثلاثة بالناقص عندك S وهنا A مقادير + +124 +00:13:31,160 --> 00:13:36,540 +ثابتة يبقى بقدر آخذها برة التكامل وبصير تكامل من + +125 +00:13:36,540 --> 00:13:44,920 +zero إلى B للـ E أس ناقص ST لـ cosine ATDT + +126 +00:13:47,530 --> 00:13:50,510 +خلّي بالك هنا طبعًا هذا حالنا في تكامل كلاصي بس أنا + +127 +00:13:50,510 --> 00:13:55,190 +بذكر تذكير يبقى أنا أخذت الـ U هنا بالـ exponential + +128 +00:13:55,190 --> 00:14:02,450 +وأخذت الـ DV بـ sin 80 اشتقت وهنا كامل يبقى هذه الـ + +129 +00:14:02,450 --> 00:14:10,330 +U في الـ V ما نقص تكامل Vدالّة. بدي أعيد الترتيب وأ + +130 +00:14:10,330 --> 00:14:13,530 +عوض بالقيمة اللي فوق ناقص القيمة اللي فوق هذه + +131 +00:14:13,530 --> 00:14:18,410 +السهلة اللي بدي أنزلها تحت بصير مجبرة بيبقى Cos AB + +132 +00:14:18,410 --> 00:14:24,540 +على A في S هنا ناقص مع ناقص زائد. بدي أشيل الـ T و + +133 +00:14:24,540 --> 00:14:27,900 +أضع مكانها Zero والـ cosine صفر بواحد. E و الـ Zero + +134 +00:14:27,900 --> 00:14:33,380 +بواحد بيضل بس كدهش واحد على A هنا عندنا S على A + +135 +00:14:33,380 --> 00:14:38,780 +بره عندك ناقص ناقص ناقص يبقى ثلاثة بالناقص بيصير + +136 +00:14:38,780 --> 00:14:43,500 +عندنا ناقص S على A تكامل من Zero لـ B للـ E وناقص الـ + +137 +00:14:43,500 --> 00:14:48,840 +T cosine ATDT. تعال نحسب الحسبة اللي عندنا هذه. هذا + +138 +00:14:48,840 --> 00:14:53,740 +الكلام يساوي لو أخذت limit لهذا المقدار يا بنات + +139 +00:14:53,740 --> 00:15:00,060 +كدهش بطلع يلا إيه أشوف على السريع كدهش واحد على + +140 +00:15:00,060 --> 00:15:07,480 +إيه هذا الـ term الأول. term الأول كوساين محصور من واحد + +141 +00:15:07,480 --> 00:15:12,510 +وسالب واحد وهذا بين بيروح. ما لا لا يبقى على جد + +142 +00:15:12,510 --> 00:15:16,030 +يا شف زيرو على طول الخط أو بتقولوا ليه cos AB + +143 +00:15:16,030 --> 00:15:19,590 +محصور من واحد وسالب واحد وبدي أضرب الطرفين في + +144 +00:15:19,590 --> 00:15:24,410 +واحد على A في E أس S AB وأخذ اللي ما بصير هنا + +145 +00:15:24,410 --> 00:15:27,110 +زيرو هنا زيرو وبيجيب ساندوشتين واللي في النص + +146 +00:15:27,110 --> 00:15:32,130 +بيزيرو. إذا هذا الـ limit اللي هو كله بـ0. واحد على + +147 +00:15:32,130 --> 00:15:36,250 +إيه؟ مقدار ثابت، ما له دعوة بالـ limit تمام، وأنّهيت + +148 +00:15:36,250 --> 00:15:40,230 +المقدار الثابت بالمقدار الثابت itself يبقى واحد + +149 +00:15:40,230 --> 00:15:46,450 +على إيه؟ ناقص S على إيه؟ في limit لما B tends to + +150 +00:15:46,450 --> 00:15:52,970 +infinity لتكامل من zero إلى B للـ E أس ناقص ST + +151 +00:15:52,970 --> 00:15:56,190 +cosine ATDT + +152 +00:16:12,880 --> 00:16:18,440 +الآن برضه بنعمل هذه integration by parts. تمام؟ + +153 +00:16:18,440 --> 00:16:21,940 +برضه نفس التعويض اللي أخذت U هنا بدي آخذها U هنا + +154 +00:16:21,940 --> 00:16:25,760 +بالضبط لإن لو عملت العملية العكسية ما عرفش اللي + +155 +00:16:25,760 --> 00:16:29,100 +اشتغلت وخربت ورجعت وما سويت شيء شيء. يبقى بضلّ + +156 +00:16:29,100 --> 00:16:35,180 +الماشي بنفس الاتجاه. إذا بدي آخذ الـ U تساوي E أس + +157 +00:16:35,180 --> 00:16:47,130 +ناقص ST و DV ليه cosine ATDT. يبقى الـ DU يكون ناقص + +158 +00:16:47,130 --> 00:16:56,610 +SE أُس ناقص ST في DT والـ V بـ Sin AT على A. يبقى + +159 +00:16:56,610 --> 00:17:01,630 +أصبح عندي اللي هو من لابلاس ترانسفورم اللي هي + +160 +00:17:01,630 --> 00:17:07,330 +الـ Sin AT بدي سوّية واحد على A الثابت اللي عندنا + +161 +00:17:07,330 --> 00:17:16,080 +ناقص S على A في الـ limit لما B tends to infinity و + +162 +00:17:16,080 --> 00:17:21,480 +هذا الـ cos اللي عندنا. بنروح نكتب U في V هذا الـ + +163 +00:17:21,480 --> 00:17:29,680 +U وهذا الـ V يبقى E أس ناقص ST في Sin AT كله على + +164 +00:17:29,680 --> 00:17:40,940 +قد إيش؟ على A. ناقص تكامل V التي هي الـ Sin AT على A W + +165 +00:17:40,940 --> 00:17:50,160 +التي هي ناقص SE أُس ناقص ST كل هذا الكلام بالنسبة + +166 +00:17:50,160 --> 00:17:57,360 +إلى مين؟ إلى DT. وهييجفلنا الجوز بالشكل اللي عندنا. هذا + +167 +00:17:57,360 --> 00:18:02,800 +الكلام يبدو يساوي 1 على A نزلناها زي ما هي ناقص S + +1 + +201 +00:21:44,690 --> 00:21:51,110 +بدها تسأل؟ اه أيوة لماذا؟ + +202 +00:21:51,110 --> 00:21:55,170 +طب أنا بجوز و لسه بتناقش أنا وإياك وأنا باشرح + +203 +00:21:55,170 --> 00:22:01,800 +التكامل هذا تكامل هذا كالكلّ صعبية بنت الحلال وأصولك + +204 +00:22:01,800 --> 00:22:05,940 +تبقى عرفاته وأصول حفظك النتيجة وامشي لكن أنا بحصلك + +205 +00:22:05,940 --> 00:22:09,280 +تفصيل وبذكر تذكير لأن العقل مش دايمًا موجود + +206 +00:22:09,280 --> 00:22:17,330 +عبدالله بيجي بيعدّ طيب يبقى مرة ثانية بقول احنا + +207 +00:22:17,330 --> 00:22:21,650 +خلصنا الحل شو اللي عملناه وأين توصلنا احنا بدنا + +208 +00:22:21,650 --> 00:22:26,450 +لابلاس ترانسفورم للـ Sin AT أنا ما عنديش إلا التعريف + +209 +00:22:26,450 --> 00:22:31,410 +يبقى بدي اضرب في الـ E أس سالب ST والـ Sin ST وكمل من Zero إلى + +210 +00:22:31,410 --> 00:22:35,580 +Infinity الشكل اللي عندنا الآن هذا الـ improper + +211 +00:22:35,580 --> 00:22:39,540 +integral يبقى خاتل و limit integration by parts + +212 +00:22:39,540 --> 00:22:44,480 +بدي أعملها مرتين إذا عملتها مرتين بتبقى مسألة T + +213 +00:22:44,480 --> 00:22:49,580 +خلصت وهذا كان معنا سؤال في Calculus B إذا مذاكرين + +214 +00:22:49,580 --> 00:22:53,380 +موجود كان معنا في Calculus B في ال integration by + +215 +00:22:53,380 --> 00:22:56,920 +parts بس ده مجنون integration by parts مع ال + +216 +00:22:56,920 --> 00:23:02,640 +improper integral يبقى هذا التكامل بدي أخد هذه U وهذه + +217 +00:23:02,640 --> 00:23:08,940 +DV وبالتالي سلمت U في V ناقص تكامل V دال U + +218 +00:23:08,940 --> 00:23:14,500 +الآن بدي أعيد الترتيب هذه بدي أعوض بالقيم اللي فوق + +219 +00:23:14,500 --> 00:23:18,480 +ناقص اللي تحتي بدي أشيل كل T وأحط مكانها + +220 +00:23:25,040 --> 00:23:31,240 +ناقص نقص نقص يبقى ثلاثة بالسالب بصير عندنا سالب S + +221 +00:23:31,240 --> 00:23:35,860 +على A ثابت بدي أخده برة بضرب تكامل من Zero إلى B + +222 +00:23:35,860 --> 00:23:42,890 +لإيه؟ وإذا ناقص ST Cos ATDT بعد ذلك بدي أنزل هذه زي + +223 +00:23:42,890 --> 00:23:47,610 +ما هي هذه زي ما هي وهي ال limit الـ Exponential + +224 +00:23:47,610 --> 00:23:53,150 +اللي عندنا يعني انتقلنا من E أس سالب ST لـ Sin AT + +225 +00:23:53,150 --> 00:23:59,550 +إلى تكامل للـ E أس سالب ST Cos AT يبقى لو كملت + +226 +00:23:59,550 --> 00:24:04,250 +كمان مرة برجع لرأسي المسألة اللي فوق إذا بدي أروح + +227 +00:24:04,250 --> 00:24:08,330 +كامل كمان مرة بدي أخد هذه U وهذه DV + +228 +00:24:15,840 --> 00:24:22,700 +هذه تكاملها بـ Sin AT عليها بنقسم على تفاضل الزاوية + +229 +00:24:22,700 --> 00:24:28,810 +إن كانت الزاوية من الدرجة الأولى طيب بدنا نبدأ نعوّض + +230 +00:24:28,810 --> 00:24:34,090 +يبقى 1 على A ناقص S على A في Limit اللي هي موجودة + +231 +00:24:34,090 --> 00:24:39,670 +عندنا هنا بالضبط تمامًا الآن بدّي أجي أقول له ال U في الـ + +232 +00:24:39,670 --> 00:24:46,290 +V أيها من A من Zero لـ B ناقص تكامل من Zero لـ B للـ V + +233 +00:24:46,290 --> 00:24:52,090 +ده ال U هذا ال V وهذه ده ال U كتبتها زي ما هي طيب 1 + +234 +00:24:52,090 --> 00:24:56,930 +على A نزلت سالب S A على A نزلت الـ Limit كما هي هذه + +235 +00:24:56,930 --> 00:25:01,890 +لما تنزل بي تحت بصير Sin AB على A في الـ SB + +236 +00:25:01,890 --> 00:25:05,730 +طبعًا هذه الـ Limit اللي هتبقى زيرو وإنما بي تروح لما لا + +237 +00:25:05,730 --> 00:25:09,790 +نهاية ليش إنو الـ Sin AB محصور من واحد وسالب واحد + +238 +00:25:09,790 --> 00:25:13,910 +ضربنا في واحد على الـ Exponential وخلت بي تروح لما + +239 +00:25:13,910 --> 00:25:19,550 +لا نهاية بصير عدد على ما لا نهاية له وهو زيرو يبقى + +240 +00:25:19,550 --> 00:25:25,410 +هذه زيرو دائمًا وأبدًا الآن ناقص بدي أضع هنا زيرو + +241 +00:25:25,410 --> 00:25:31,210 +وهنا زيرو هذه واحد وهذه زيرو على أي عدد بقدر بزيرو + +242 +00:25:31,210 --> 00:25:37,330 +وصلنا لهذه الـ S على A برة وناقص مع ناقص بصير زائد + +243 +00:25:37,330 --> 00:25:45,330 +والـ E أس سالب ST Sin ATDT هي كما هي إذا انقلبت المسألة + +244 +00:25:45,330 --> 00:25:50,690 +التكامل الأساسي الـ Elemental والـ Sin AT هذا بدي أساوي + +245 +00:25:50,690 --> 00:25:54,430 +مين؟ بدي أساوي واحد على إيه؟ ناقص فعندك هنا S + +246 +00:25:54,430 --> 00:25:59,090 +عليه وهنا S على إيه؟ S تربيع على A تربيع Limit لما + +247 +00:25:59,090 --> 00:26:04,030 +الـ P بدأت تروح للـ Infinity للتكامل اللي عندنا هذا + +248 +00:26:04,340 --> 00:26:09,480 +التكامل لأن هذا هو نفس التكامل هذا تمام بس بدّه + +249 +00:26:09,480 --> 00:26:13,700 +أرجع هذا إلى أصله قبل الـ Limit يبقى رجعته إلى أصله + +250 +00:26:13,700 --> 00:26:17,340 +بدل ما هو Limit شيلته وكتبت تكامل من Zero إلى + +251 +00:26:17,340 --> 00:26:23,420 +Infinity للـ E أس سالب STDT هذا هو الطرف الشمال يبقى + +252 +00:26:23,420 --> 00:26:27,640 +بدّه أدّيه عندّه وأجمع بدل ما كانت شرطة سالبة بصير + +253 +00:26:27,640 --> 00:26:33,560 +شرطة موجبة يبقى بظل هنا واحد وهنا بيظل S تربيع على + +254 +00:26:33,560 --> 00:26:36,820 +A تربيع كله في التكامل هذا اللي هو Laplace + +255 +00:26:36,820 --> 00:26:41,240 +transform لـ Sin AT بيظل الطرف اليمين فقط اللي هو + +256 +00:26:41,240 --> 00:26:47,500 +جدًّا 1 على A الآن وحدنا المقامات لهذه صورة A تربيع + +257 +00:26:47,500 --> 00:26:52,780 +زائد S تربيع على A تربيع بده يساوي واحد على A الآن + +258 +00:26:52,780 --> 00:26:59,260 +بدنا نجسم على هذي بيصير A تربيع على S تربيع زائد A + +259 +00:26:59,260 --> 00:27:04,260 +تربيع في A تربيع بتروح ال A مع ال A بيظهر أن A في + +260 +00:27:04,260 --> 00:27:09,960 +S تربيع على S تربيع زائد A تربيع هذا لـ Laplace Transform ل + +261 +00:27:09,960 --> 00:27:16,650 +Sin AT لذلك كملنا مرتين ووصلنا إلى نتيجة التكامل وقبل + +262 +00:27:16,650 --> 00:27:19,750 +شوية لما دي أنا أعطينا تعريف لابلاس ترانسفورم + +263 +00:27:19,750 --> 00:27:25,690 +أقول لك يا بقول L of F of T يا إما F of S لحظة من + +264 +00:27:25,690 --> 00:27:30,750 +حد ما إنكمل بطلع عندي دالة في مين؟ دالة في S وهنا + +265 +00:27:30,750 --> 00:27:34,250 +دالة في S وهنا دالة في S وهنا دالة في S وكله + +266 +00:27:34,250 --> 00:27:39,090 +دالة في S وسألتك هذا السؤال ليش ال F of S يبقى + +267 +00:27:39,090 --> 00:27:43,030 +النتيجة بعد ما نكمل ونعوض كلها بتطلع Function في + +268 +00:27:43,030 --> 00:27:48,170 +S فقط ما ضلّ عندنا من T وبالتالي جيب دالة كافة من + +269 +00:27:48,170 --> 00:27:52,330 +الدالة الأصلية طب احنا الآن جبنا + +270 +00:27:59,930 --> 00:28:04,430 +بتعملي الخطوات اللي عملتها بس بدل الـ Sin بتحطي معها + +271 +00:28:04,430 --> 00:28:05,530 +كـ Cosine + +272 +00:28:11,800 --> 00:28:18,920 +هذه نمرّ بيه Similarly اللي هو Laplace Transform La + +273 +00:28:18,920 --> 00:28:27,400 +Cosine AT بديه ساوي بنات S على S تربيع زائد A + +274 +00:28:27,400 --> 00:28:33,190 +تربيع هذه الـ Sin بدل الـ Constant بيجيني S وليس + +275 +00:28:33,190 --> 00:28:37,470 +Constant بس هنا كانت إعادة الـ Sin Constant وهنا S + +276 +00:28:37,470 --> 00:28:44,050 +وهذه تشيك براحتك روح أعملها في الدار شيك عليها طيب + +277 +00:28:44,050 --> 00:28:49,850 +من B بده أروح أجيب C يبقى بدي C بدي لـ Laplace + +278 +00:28:49,850 --> 00:28:58,630 +Transform لـ Cosine 5T اللي عبارة عن S على S تربيع + +279 +00:28:58,630 --> 00:29:07,570 +زائد خمسة لكل تربيع يعني S على S تربيع زائد 25 + +280 +00:29:07,570 --> 00:29:16,620 +و25 حد فيكم بتحب تسأل أسئلة هنا؟ خلاص؟ ها يا بنت + +281 +00:29:16,620 --> 00:29:21,540 +الحلال أنت لعبتي تقصّبي ولا لا؟ خلاص يعني؟ فرجت + +282 +00:29:21,540 --> 00:29:23,640 +وكانت وقنّوها تفرجوا؟ + +283 +00:29:42,720 --> 00:29:48,600 +ما بعد الضيقة بنات إلا الوسعة وما بعد العسر إلا + +284 +00:29:48,600 --> 00:29:55,240 +اليسر ولهذا قال الله تعالى فإن مع العسر يسرا وإن + +285 +00:29:55,240 --> 00:29:59,660 +مع العسر يسرا ولن يغلب عسرا يسرين أو كما قال صلى + +286 +00:29:59,660 --> 00:30:03,470 +الله عليه وسلم يعني قدّيش بتدايق في لحظة تمام وبعد + +287 +00:30:03,470 --> 00:30:07,830 +شوية بتتوسّع وهذه طبيعة الدنيا بضلّش الواحد عنده + +288 +00:30:07,830 --> 00:30:13,030 +عسر على طول ولا بضل عنده انفراجة على طول الله يخفض + +289 +00:30:13,030 --> 00:30:18,670 +القصة ويرفعها وهذه طبعًا من بديهيات اللي هو عمل + +290 +00:30:18,670 --> 00:30:26,550 +الله سبحانه وتعالى طيب نرجع الآن ونكمل في عندنا + +291 +00:30:26,550 --> 00:30:30,170 +نظرية بتقول ما يأتي Theorem + +292 +00:30:34,330 --> 00:30:44,450 +لابلاس تحويل لابلاس لابلاس لابلاس لابلاس لابلاس + +293 +00:30:44,450 --> 00:30:53,230 +لابلاس + +294 +00:30:53,230 --> 00:30:53,550 +لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس + +295 +00:30:53,550 --> 00:30:53,930 +لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس + +296 +00:30:53,930 --> 00:30:54,070 +لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس + +297 +00:30:54,070 --> 00:30:54,690 +لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس لابلاس + +298 +00:31:04,380 --> 00:31:14,120 +لو Laplace Transform للـ F1 وLaplace Transform للـ + +299 +00:31:14,120 --> 00:31:27,260 +F2 are both exist لو كانوا Exist for للـ S اللي + +300 +00:31:27,260 --> 00:31:30,320 +أكبر من S node then + +301 +00:31:52,040 --> 00:31:59,900 +أو بقدر أقول C1 F1 + +302 +00:31:59,900 --> 00:32:16,940 +of S زائد C2 Capital F2 of S example نمرة + +303 +00:32:16,940 --> 00:32:30,900 +A find Laplace Transform لـ 8 هذا نمرة A نمرة + +304 +00:32:30,900 --> 00:32:45,060 +B نبدأ بالـ Laplace Transform لـ 3 Cos 2T 3 Cos 2T + +305 +00:32:45,060 --> 00:32:59,120 +ناقص 5 E أس سالب 3T نمرة C Find + +306 +00:33:01,390 --> 00:33:12,550 +Laplace Transform La Cosine تربيع AT Cosine تربيع + +307 +00:33:12,550 --> 00:33:26,770 +2T نمرة D find Laplace Transform لـ Cosh AT + +308 +00:33:39,130 --> 00:33:45,090 +خلّي بالك هنا اللي بتحكي هناك خلّي بالك هنا يبقى + +309 +00:33:45,090 --> 00:33:51,050 +باجي وبقول بدنا الآن نجلّع نظرية هذه ونحاول نطبّق + +310 +00:33:51,050 --> 00:33:54,930 +هذه النظرية هذه النظرية بتقول لي أن الـ Laplace + +311 +00:33:54,930 --> 00:34:00,430 +Transform عبارة عن مؤثّر خطّي شو يعني مؤثّر خطّي؟ هذا + +312 +00:34:00,430 --> 00:34:05,200 +اللي بدنا نعرفه بيقول هنا لابلاس ترانسفورم is a + +313 +00:34:05,200 --> 00:34:11,000 +linear operator مؤثّر خطّي ذاتي an لو كان لابلاس + +314 +00:34:11,000 --> 00:34:15,640 +ترانسفورم لدالة F1 ولابلاس ترانسفورم لدالة F2 + +315 +00:34:15,640 --> 00:34:21,920 +اثنتين معرفين يبقى في هذه الحالة بدي لابلاس لـ C1 F1 + +316 +00:34:21,920 --> 00:34:28,660 +زائد C2 F2 لما أقول مؤثّر خطّي معناته لابلاس بدي يدخل + +317 +00:34:28,660 --> 00:34:33,120 +على كل Term من هذين الـ Termين يبقى بصير Laplace + +318 +00:34:33,120 --> 00:34:37,960 +للأول زي Laplace للثاني الـ Constant بنقدر نطلعه + +319 +00:34:37,960 --> 00:34:43,600 +بره Laplace يبقى C1 Laplace للـ F1 زي C2 Laplace للـ + +320 +00:34:43,600 --> 00:34:48,880 +F2 Laplace للـ F1 لو عدّيتها رمز Capital F1 of S + +321 +00:34:48,880 --> 00:34:56,310 +يبقى بصير C1 F1 of S والثانية C2 F2 of S بنروح + +322 +00:34:56,310 --> 00:35:00,030 +نستخدم هذا الكلام في إيجاد Laplace Transform + +323 +00:35:00,030 --> 00:35:07,190 +للدوال المختلفة وكذلك باستخدام المثالين السابقين + +324 +00:35:07,190 --> 00:35:14,310 +اللي أخذناهم قبل قليل يبقى بدّي أجي لنمرة A بيقول + +325 +00:35:14,310 --> 00:35:19,110 +لها Laplace لـ 8 بقول ما بعرفني Laplace أنا + +326 +00:35:19,110 --> 00:35:24,730 +بعرف Laplace للواحد صح بقدر أقول له هذه Laplace + +327 +00:35:24,730 --> 00:35:32,400 +لـ 8 في 1 مظبوط الـ 8 هي المقدار الثابت + +328 +00:35:32,400 --> 00:35:38,100 +بقدر أطلعه برة يا ش برة Laplace يبقى هذه 8 في + +329 +00:35:38,100 --> 00:35:44,440 +Laplace للواحد 8 قدّيش Laplace للواحد 1 على + +330 +00:35:44,440 --> 00:35:52,260 +S فقط لغير يبقى 8 على S هذا Laplace للـ 8 + +331 +00:35:52,260 --> 00:35:57,080 +طب Laplace Laplace لـ 100 لمية منهم 100 ليس حطّ الرقم اللي + +332 +00:35:57,080 --> 00:36:00,560 +بدّك اياه بس أنا كنت بأعلى اسمك وجبت Laplace إيه + +333 +00:36:00,560 --> 00:36:04,740 +اللي؟ هذا بالنسبالي إيه؟ بدنا نمرّ بيه نمرّ بيه + +334 +00:36:04,740 --> 00:36:10,680 +قلّي Laplace أيوة هذه اللي هي Laplace لمين؟ اللي + +335 +00:36:10,680 --> 00:36:18,140 +3 Cos 2T ناقص 5 E أس سالب 3T + +336 +00:36:18,140 --> 00:36:26,670 +وتساوي هذه هي هذه بالضبط صح؟ مظبوط؟ يبقى بدّا أقول + +337 +00:36:26,670 --> 00:36:29,690 +الـ Constant في Laplace للدالة الأولى ناقص + +338 +00:36:29,690 --> 00:36:33,310 +الـ Constant في Laplace للدالة الثانية يبقى هذا + +339 +00:36:33,310 --> 00:36:42,950 +عبارة عن 3 Laplace لمين؟ ليه؟ Cos 2T ناقص 5 + +340 +00:36:42,950 --> 00:36:49,600 +في Laplace للـ E أس سالب 3T هذا الكلام يساوي + +341 +00:36:49,600 --> 00:36:55,320 +3 فيه بدي Laplace لـ Cos 2T اللي هي عبارة + +342 +00:36:55,320 --> 00:37:04,940 +عن S على S تربيع زائد كم؟ 2 تربيع حسبناها قبل + +343 +00:37:04,940 --> 00:37:11,210 +قليل مظبوط؟ وقلنا لك تشيكها يعني مظبوط؟ يبقى شيلنا + +344 +00:37:11,210 --> 00:37:15,050 +الـ A وحطينا اللي هو الرقم اللي مضروب في الزاوية + +345 +00:37:15,050 --> 00:37:20,910 +اللي هو الـ 2 هذه الأولى الثانية ناقص 5 في + +346 +00:37:20,910 --> 00:37:30,430 +نيجي لهذه الـ Exponential اللي هو 1 على S زائد + +347 +00:37:30,430 --> 00:37:38,350 +3 صارت المسألة هي 3S على S تربيع زائد 4 + +348 +00:37:38,350 --> 00:37:46,270 +ناقص 5 على S زائد 3 أظن أن هذا هو المضاعف + +349 +00:37:46,270 --> 00:37:54,610 +المشترك كله S تربيع زائد 4 في S زائد 3 هذي + +350 +00:37:54,610 --> 00:38:05,470 +بيصير 3S في S زائد 3 ناقص 5 في S تربيع + +351 +00:38:05,470 --> 00:38:13,940 +زائد 4 النتيجة على الشكل التالي تساوي هذه 3 + +352 +00:38:13,940 --> 00:38:23,180 +S تربيع زائد 9S الـ Term الثاني ناقص 5 + +353 +00:38:23,180 --> 00:38:31,260 +S تربيع ناقص 20 كله على المقام اللي هو S تربيع + +354 +00:38:31,260 --> 00:38:38,340 +زائد 4 في S زائد 3 يبقى النتيجة على الوجه + +355 +00:38:38,340 --> 00:38:47,870 +التالي ناقص 2S تربيع وهنا زائد 9S وهنا + +356 +00:38:47,870 --> 00:38:57,130 +ناقص 20 كله مقسومًا على S تربيع زائد 4 في مين + +357 +00:38:57,130 --> 00:39:03,770 +في S زائد 3 يبقى هذا لـ Laplace Transform للدالة + +358 +00:39:03,770 --> 00:39:08,370 +هذه طب هذه يا بنات لو عملتلها Partial Fraction + +359 +00:39:08,370 --> 00:39:16,730 +كسور جزئية بطلع بطلع هذا صح؟ مش هذا وحدنا + +360 +00:39:16,730 --> 00:39:20,510 +المقامات يبقى لو بدّا أعمل كسور بتكون عندي هذه + +361 +00:39:20,510 --> 00:39:24,650 +بالدرجة على الأصل تبعها يبقى هذا هو الأصل تبعها + +362 +00:39:24,650 --> 00:39:30,130 +طبعًا ليش هو بيقولك كده الكلام إنه سيلزمنا بعد شوية + +363 +00:39:30,130 --> 00:39:35,350 +إن شاء الله نضطر نعمل كسور جزئية لمقدار مثل هذا + +364 +00:39:35,350 --> 00:39:40,310 +المقدار ما هنقدرش نوجد Laplace Transform له أو نوجد + +365 +00:39:40,310 --> 00:39:42,710 +معكوس Laplace Transform + +366 +00:39:55,960 --> 00:40:03,920 +هذا نمرة B يبدأ يجي لنمرة C نمرة C بيقول اللي بدّه + +367 +00:40:03,920 --> 00:40:10,760 +Laplace Transform ويراضيه C Laplace لـ Cosine تربيع بدنا Laplace + +368 +0 + +401 +00:44:36,470 --> 00:44:45,150 +كوساين بس الإشارة في المقام بالسالب وليس بالموجب + +402 +00:44:45,150 --> 00:44:49,790 +كيف + +403 +00:44:49,790 --> 00:44:50,390 +كيف؟ + +404 +00:44:53,080 --> 00:44:58,040 +لا تحفظيها، وهنصورها لك إن شاء الله كل ال Laplace transform + +405 +00:44:58,040 --> 00:45:02,880 +بدل الدالة العشرين دالة ونعطيك يا فيلم + +406 +00:45:02,880 --> 00:45:08,460 +تعالي تفضلي هيها معكِ استخدميها متى ما لازم الأمر + +407 +00:45:08,460 --> 00:45:13,220 +يعني الصفحة الأخيرة في ورقة الأسئلة بتكون ال + +408 +00:45:13,220 --> 00:45:17,220 +Laplace transform للدوال كلها اللي بتلزمك وزيادة + +409 +00:45:17,220 --> 00:45:23,250 +شوية بس بدي تعرفي لو قلت لك use the definition to + +410 +00:45:23,250 --> 00:45:26,850 +find Laplace transform لدالة فلانية وأعطيتك دالة + +411 +00:45:26,850 --> 00:45:32,990 +يبقى بدك تروحي تشتغلي الشغل هذا، تمام؟ لكن إذا ما + +412 +00:45:32,990 --> 00:45:36,850 +قلتِ هذا الكلام ولزمت Laplace لأي دالة بجيبها من + +413 +00:45:36,850 --> 00:45:40,990 +الجدول دوري، الجدول هذا هنعطيكم إياه يوم ذلك المرة + +414 +00:45:40,990 --> 00:45:44,270 +القادمة، دا من المرة القادمة دي كل واحد فيكم يكون + +415 +00:45:44,270 --> 00:45:47,570 +يكتبها معاها لإنه في جدول بدي أقول لك يالا عشان + +416 +00:45:47,570 --> 00:45:52,390 +تتعودي تفتشي وتعرفي كيف تقولي من الجدول Laplace + +417 +00:45:52,390 --> 00:45:56,510 +transform لدالة ما كل واحد المرة الجاية يكون + +418 +00:45:56,510 --> 00:45:57,810 +يكتبها معاها دي ربالكم + +419 +00:46:01,630 --> 00:46:06,770 +طيب فينا كمان نظرية بنات بتجيب Laplace transform + +420 +00:46:06,770 --> 00:46:12,390 +للمشتقات يعني لو اشتقينا، ده اللي بدي Laplace للمشتقة + +421 +00:46:12,390 --> 00:46:16,150 +هذه النظرية تنص على ما يلي + +422 +00:46:19,780 --> 00:46:24,840 +طب ليش بدنا Laplace transform لهذه المشتقة؟ لأن + +423 +00:46:24,840 --> 00:46:29,940 +موضوعنا موضوع معادلات تفاضلية بدنا نجيب حل + +424 +00:46:29,940 --> 00:46:36,120 +المعادلة التفاضلية باستخدام Laplace transform يبقى + +425 +00:46:36,120 --> 00:46:43,560 +النظرية بتقول ما يأتي Theorem: + +426 +00:46:43,560 --> 00:47:00,950 +f of t is a function such that بحيث أن both Laplace + +427 +00:47:00,950 --> 00:47:12,190 +transform of both Laplace transform للـ F of T and + +428 +00:47:12,190 --> 00:47:27,640 +Laplace transform للـ F' of T exists then + +429 +00:47:27,640 --> 00:47:31,240 +بدنا + +430 +00:47:31,240 --> 00:47:40,380 +Laplace transform للـ F' of T بنعرف عليها إنها S في + +431 +00:47:40,380 --> 00:47:52,260 +Laplace transform للـ F of T ناقص الـ F of Zero هذه + +432 +00:47:52,260 --> 00:47:59,940 +لها صيغة ثانية كمان وهي S في مين؟ في Capital X as + +433 +00:47:59,940 --> 00:48:07,640 +a function of S ناقص الـ F of Zero هذه لو كانت + +434 +00:48:07,640 --> 00:48:13,320 +المشتقة الأولى لو جينا للمشتقة الثانية Similarly + +435 +00:48:15,900 --> 00:48:22,260 +Laplace transform للمشتقة الثانية as a function of T + +436 +00:48:22,260 --> 00:48:34,360 +بدي أساوي S squared Laplace للـ F of T ناقص الـ S في الـ + +437 +00:48:34,360 --> 00:48:42,800 +F of Zero ناقص الـ F prime of Zero in general + +438 +00:48:46,850 --> 00:48:53,970 +على وجه العموم Laplace transform للتفاضل النوني as + +439 +00:48:53,970 --> 00:48:55,690 +a function of T + +440 +00:49:02,760 --> 00:49:13,960 +ناقص Sn ناقص 1 في الـ F of Zero ناقص Sn ناقص + +441 +00:49:13,960 --> 00:49:23,220 +2 في الـ F prime of Zero ناقص ... اللي هو الـ S + +442 +00:49:24,240 --> 00:49:30,300 +في الـ F to the derivative of N minus 2 عند ال + +443 +00:49:30,300 --> 00:49:37,560 +Zero ناقص F to the derivative of N minus 1 عند + +444 +00:49:37,560 --> 00:49:38,160 +ال Zero + +445 +00:49:57,000 --> 00:50:02,900 +الحسابات اللي فاتت كانت كلها حسابات Laplace للدوال + +446 +00:50:02,900 --> 00:50:09,080 +لكن هنا بيجي حسابات Laplace لمشتقات الدوال هناخد + +447 +00:50:09,080 --> 00:50:12,820 +Laplace المشتقة الأولى Laplace المشتقة الثانية ومن ثم + +448 +00:50:12,820 --> 00:50:18,280 +نعمم Laplace المشتقة النونية لو جينا للجدول هذا + +449 +00:50:18,280 --> 00:50:24,200 +فتحت فيه في الكتاب بتلاقي هذه هي آخر Laplace في + +450 +00:50:24,200 --> 00:50:30,760 +الجدول أسفله آخر واحدة إيش بيقول النظرية؟ بيقول لي + +451 +00:50:30,760 --> 00:50:36,020 +ما يأتي f of t هي ال function بحيث Laplace لـ f of t + +452 +00:50:36,020 --> 00:50:41,340 +ولaplace للمشتقة exist إن حدث ذلك يعني إيه؟ بقدر + +453 +00:50:41,340 --> 00:50:45,640 +أجيب Laplace للمشتقة بدلالة Laplace للدالة كيف؟ + +454 +00:50:45,640 --> 00:50:51,000 +كالتالي بقول S في Laplace لـ f of t ناقص الـ f of + +455 +00:50:51,000 --> 00:50:56,270 +Zero أو الـ F of T لـ Laplace اللي هبقى عبّره عنه بصيغة + +456 +00:50:56,270 --> 00:51:02,430 +X of S يعني هذه أمانات function كلها في S capital + +457 +00:51:02,430 --> 00:51:08,190 +X of S وهنا ناقص الـ F of Zero لو عندي المشتقة + +458 +00:51:08,190 --> 00:51:12,350 +الثانية وبدي أجيبلها Laplace يبقى بأبدأ الـ S الأس + +459 +00:51:12,350 --> 00:51:17,940 +التابع هنا كده كان لأن المشتقة 1 هنا مشتقة ثانية + +460 +00:51:17,940 --> 00:51:22,640 +بدأت بـ S تربيع S بعدها تعدى من الـ S بصير S of Zero + +461 +00:51:22,640 --> 00:51:27,660 +يبقى S تربيع Laplace F of T ناقص الـ S في F of Zero + +462 +00:51:27,660 --> 00:51:34,380 +ناقص F prime of Zero وهكذا الآن لو جينا نعممها يبقى + +463 +00:51:34,380 --> 00:51:40,300 +الـ Laplace المشتق قانونية لـ F هو S to the power N هذا + +464 +00:51:40,300 --> 00:51:44,620 +derivative وهذا أس في X to the power S كـ function + +465 +00:51:44,620 --> 00:51:49,700 +ناقص الـ S بده ينقص الأس تبعها 1 في الـ F of Zero + +466 +00:51:49,700 --> 00:51:54,300 +ناقص الـ S الـ N بده ينقص 1 هنا عن اللي قبله في + +467 +00:51:54,300 --> 00:51:58,800 +الـ F prime of 0 نظل ماشي لغاية ما نوصل S و S 1 + +468 +00:51:58,800 --> 00:52:05,600 +المشتقة N نقص 2 نقص الـ F N minus الـ 1 عند Z + +469 +00:52:05,600 --> 00:52:10,340 +المرة القادمة إن شاء الله بدنا نأخذ أمثلة على كيف + +470 +00:52:10,340 --> 00:52:15,540 +نحيل معادلة تفاضلية بواسطة Laplace transform + +471 +00:52:15,540 --> 00:52:20,360 +وباستخدام هذه النظرية إن شاء الله تعالى أعطيكم + +472 +00:52:20,360 --> 00:52:20,580 +العفو diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/BZBTTMoYXDc_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/BZBTTMoYXDc_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..39bacf4e3eda452acc2f8f8443333dd93904954b --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/BZBTTMoYXDc_raw.srt @@ -0,0 +1,1980 @@ +1 +00:00:20,890 --> 00:00:25,630 +بسم الله الرحمن الرحيم عود على بدء المرة اللي فاتت + +2 +00:00:25,630 --> 00:00:29,790 +بدأنا بال linear transformation و بعد ذلك أخدنا + +3 +00:00:29,790 --> 00:00:34,910 +عدة تمثيل عليها ثم أخدنا بعض النظريات أثبتنا أن ال + +4 +00:00:34,910 --> 00:00:39,010 +kernel linear transformation is a subspace و + +5 +00:00:39,010 --> 00:00:43,330 +أثبتنا أن ال range لل linear transformation is a + +6 +00:00:43,330 --> 00:00:49,020 +subspace و أخدنا على ذلك المثال الأولطبعا اعطينا + +7 +00:00:49,020 --> 00:00:54,920 +function معرفة بالشكل التالي T of A بتسوي A زائد A + +8 +00:00:54,920 --> 00:01:00,840 +Transpose تمام؟ و قولنا هاتينا ال range تبع من ال + +9 +00:01:00,840 --> 00:01:05,380 +T ال kernel طبعا وجدناه المرة اللي فاتت و قولنا + +10 +00:01:05,380 --> 00:01:10,820 +the set of all skew symmetric matrices هذا اخر ما + +11 +00:01:10,820 --> 00:01:15,280 +اخدناه المحاضرة الماضية تمام؟ إذا نفني جيب نكمل + +12 +00:01:15,280 --> 00:01:19,750 +حديثناو بدنا نوجد من ال R of T + +13 +00:01:24,660 --> 00:01:31,440 +اللي هي عبارة عن مين؟ كل العناصر Y او احنا كانت T + +14 +00:01:31,440 --> 00:01:40,880 +من كل العناصر ايش بجينا نقول هي T من A الى او T + +15 +00:01:40,880 --> 00:01:45,660 +كانت من وين الى وين من مصممة M22 الى M22 مش هيك؟ + +16 +00:01:45,660 --> 00:01:54,760 +من M22 لل M22بقى باجي بقول كل المصفات بي اللي + +17 +00:01:54,760 --> 00:02:04,580 +موجودة في ال M22 such that ال B تساوي T of A for + +18 +00:02:04,580 --> 00:02:09,200 +some A + +19 +00:02:09,200 --> 00:02:16,080 +اللي موجودة في ال M22 مش شكت عارف ال range؟يبقى كل + +20 +00:02:16,080 --> 00:02:21,260 +المصفوفات اللي موجودة في مجموعة المصفوفات M22 + +21 +00:02:21,260 --> 00:02:27,120 +واللي صورتها تكون main T of A بحيث الـA some + +22 +00:02:27,120 --> 00:02:32,980 +element موجود في M22 يبقى هذا التعريف العام لمين؟ + +23 +00:02:32,980 --> 00:02:37,200 +لل range تبعتي بدنا نيجي نطبق هذا التعريف و نشوف + +24 +00:02:37,200 --> 00:02:42,000 +بدي وصلني إلى وينيبقى هذا الكلام بده يساوي كل + +25 +00:02:42,000 --> 00:02:48,420 +المصفات B اللي موجودة في ال M22 such that ان ال B + +26 +00:02:48,420 --> 00:02:55,380 +تساوي T of A حسب التعريف هيها فوق اللي هو A زائد A + +27 +00:02:55,380 --> 00:03:02,720 +transpose for some A اللي موجودة في ال M22 + +28 +00:03:04,900 --> 00:03:10,560 +طيب بدي أعرف مين هي ال B هذه طيب + +29 +00:03:10,560 --> 00:03:15,800 +إيش رايك لو أخدت transpose للطرفين يبقى هذه بدأت + +30 +00:03:15,800 --> 00:03:21,200 +ساوي كل المصفوفات B اللي موجودة في ال M22 such + +31 +00:03:21,200 --> 00:03:28,420 +that B transpose بده يساوي A زائد A transpose لكل + +32 +00:03:28,420 --> 00:03:34,320 +ال transpose يبقى for some A اللي موجودة في ال B22 + +33 +00:03:34,980 --> 00:03:39,520 +يبقى هذا الكلام بده يساوي كل المصففات بيه اللي + +34 +00:03:39,520 --> 00:03:46,400 +موجودة في ال M22 such that ال BT تساوي لترانسبوز + +35 +00:03:46,400 --> 00:03:50,900 +بتجي ترانسبوز على الأولى زائد ترانسبوز على من؟ على + +36 +00:03:50,900 --> 00:03:57,060 +التانية يبقى ال A transpose زائدهذه a ترانسبوز + +37 +00:03:57,060 --> 00:04:01,560 +ترانسبوز اللي هي عبارة عن مين ال a itself يبقى ال + +38 +00:04:01,560 --> 00:04:07,940 +a itself طيب هذه ال a زي a ترانسبوز مش هي هذه اللي + +39 +00:04:07,940 --> 00:04:14,050 +فوقيبقى كأنه بي ترانسفوس بدي تسوي من بي يبقى + +40 +00:04:14,050 --> 00:04:19,130 +معناته كل مجموعة ال symmetric matrices يبقى ال + +41 +00:04:19,130 --> 00:04:24,250 +kernel هو ال skew ال symmetric matrices و ال range + +42 +00:04:24,250 --> 00:04:29,610 +هو ال symmetric matrices يبقى for some a اللي + +43 +00:04:29,610 --> 00:04:37,240 +موجودة في b22 يبقى هذا بدي يسوي the setof all + +44 +00:04:37,240 --> 00:04:41,740 +symmetric + +45 +00:04:41,740 --> 00:04:53,260 +matrices in M22 يبقى مجموعة الـ symmetric matrices + +46 +00:04:53,260 --> 00:04:58,460 +في M22 انتهينا من المثال الأول بدنا نروح الآن + +47 +00:04:58,460 --> 00:05:03,140 +للمثال الثاني يبقى بالداجل example 2 + +48 +00:05:07,440 --> 00:05:19,080 +المثال الثاني بيقول let ال a بي an m في n matrix + +49 +00:05:19,080 --> 00:05:23,040 +define + +50 +00:05:23,040 --> 00:05:32,300 +عرفونا ايه mapping define + +51 +00:05:32,300 --> 00:05:33,280 +ايه mapping + +52 +00:05:36,620 --> 00:05:46,920 +من RN إلى RM by T + +53 +00:05:46,920 --> 00:05:57,420 +of X بده يساوي اللي هو ال AX where ال X اللي هو ال + +54 +00:05:57,420 --> 00:06:05,400 +call matrix X1 X2 وانضل ماشيين لغاية ال XN + +55 +00:06:07,700 --> 00:06:20,100 +is a calm vector المطلوب + +56 +00:06:20,100 --> 00:06:31,360 +نمرأ a show that بينون ان ال T is a linear + +57 +00:06:31,360 --> 00:06:45,120 +transformation نمرأ بيهFind الـ kernel للـ T نمرة + +58 +00:06:45,120 --> 00:06:50,620 +C Find + +59 +00:06:50,620 --> 00:06:54,240 +the + +60 +00:06:54,240 --> 00:07:06,000 +range of T اللي هو R of T نمرة + +61 +00:07:06,000 --> 00:07:15,580 +Dshow that ان + +62 +00:07:15,580 --> 00:07:23,860 +الـ T of X بده يساوي ال A X و + +63 +00:07:23,860 --> 00:07:35,620 +الله define a linear transformation from R + +64 +00:07:35,620 --> 00:07:36,200 +N + +65 +00:08:01,390 --> 00:08:10,350 +RM سؤال مرة تانيةبنقول افترض ان T من Rn إلى Rm + +66 +00:08:10,350 --> 00:08:16,350 +عرفناها اولت ال A ب M by N matrix يبقى اخدنا مصوفة + +67 +00:08:16,350 --> 00:08:22,490 +نظامها M في N define a mapping عرفنا function من + +68 +00:08:22,490 --> 00:08:27,970 +ال vector space Rn إلى ال vector space Rm by T of + +69 +00:08:27,970 --> 00:08:33,970 +capital X بدو يساوي Ax الشكل هنا يعني حاصل ضرب + +70 +00:08:34,480 --> 00:08:39,860 +المصوفة اللى نضامها M فى N فى المصوفة العمودية + +71 +00:08:39,860 --> 00:08:45,060 +اللى هى X مى المصوفة العمودية مصوفة مكونة من N من + +72 +00:08:45,060 --> 00:08:50,340 +الصفوف وعمود واحد يبقى هنا قولنا ال X دى is a + +73 +00:08:50,340 --> 00:08:55,080 +column vector يبقى متجه عمودي يعنى مصوفة مكونة من + +74 +00:08:55,080 --> 00:09:00,230 +عمود واحد لكنها مجموعة من الصفوفبناء على هذا + +75 +00:09:00,230 --> 00:09:03,790 +التعريف بدي أثبت أن T هي linear transformation + +76 +00:09:03,790 --> 00:09:08,270 +يعني إيش بدي أحقق؟ الشرطين تبعات ال linear + +77 +00:09:08,270 --> 00:09:12,530 +transformation أمر تاني بدي أجيبها لل kernel بدي + +78 +00:09:12,530 --> 00:09:16,770 +أعرف قداش الأمر التالف بدي أعرف قداش ال range تبع + +79 +00:09:16,770 --> 00:09:22,260 +T اللي بجي نربزله R of T تلاتةبتبين Any Linear + +80 +00:09:22,260 --> 00:09:29,000 +Transformation من الـ RN إلى ال RM من ال RN إلى ال + +81 +00:09:29,000 --> 00:09:34,100 +RM هي على الشكل اللي عندنا دائما او بدا T of X بدي + +82 +00:09:34,100 --> 00:09:40,700 +سوى حصل ضرب المصوفة A في المصوفة العمودية X يبقى + +83 +00:09:40,700 --> 00:09:44,820 +عندنا أربعة مطاليب بدنا نبدأ نحسب كل مطلوب من هذه + +84 +00:09:44,820 --> 00:09:51,110 +المطاليب الأربعةبنجي للمطلوب الأول اللي هو بدي + +85 +00:09:51,110 --> 00:09:56,430 +أثبت أن T عبارة عن Linear Transformation + +86 +00:10:05,420 --> 00:10:08,340 +يبقى بدى اثبت اول شىء ان هاد الـ T Linear + +87 +00:10:08,340 --> 00:10:12,340 +Transformation يبقى بدى اخد element من ال set of + +88 +00:10:12,340 --> 00:10:15,980 +real numbers الـ scalar يعني و element من ال + +89 +00:10:15,980 --> 00:10:21,680 +vector اللي هو main RN و اشوف حصل ضربه معاه وين + +90 +00:10:21,680 --> 00:10:29,040 +بدى يوديني يبقى باجي بقول هنا Fالـ C موجودة في الـ + +91 +00:10:29,040 --> 00:10:39,260 +R and على سبيل المثال الـ X موجودة في الـ RNالـ X + +92 +00:10:39,260 --> 00:10:48,280 +هذا بقدر اكتبه على شكل X1 و X2 و لغاية XN او بقدر + +93 +00:10:48,280 --> 00:10:56,000 +اكتبه على شكل مصفوفة عمودية X1 X2 لغاية XN بالشكل + +94 +00:10:56,000 --> 00:11:05,790 +اللي عندنا هناطيب انا بدي اخد T of CX بدي احاول + +95 +00:11:05,790 --> 00:11:13,010 +اثبت ان هذا بدي يسوى C في T of X برجع للتعريف اللي + +96 +00:11:13,010 --> 00:11:17,850 +انا قايله يبقى طبقا لهذا التعريف هذا بدي يسوى + +97 +00:11:17,850 --> 00:11:26,600 +المصوفة A في C of Xلأن C هذا scalar إذا بقدر أطلعه + +98 +00:11:26,600 --> 00:11:32,980 +برا ال T أو بقدر أطلعه برا حصل ضرب المصوفين يبقى + +99 +00:11:32,980 --> 00:11:39,290 +هذا C في ال AX بالشكل اللي عندنا هذايبقى هذا + +100 +00:11:39,290 --> 00:11:44,390 +الكلام بدي يساوي C ال AX عبارة عن مين حسب ال + +101 +00:11:44,390 --> 00:11:50,290 +definition اللي عندلي T of X يبقى C في T of X + +102 +00:11:54,650 --> 00:11:59,950 +يبقى T of X يبقى بناء عليه أصبح T في C of X يساوي + +103 +00:11:59,950 --> 00:12:03,910 +C في T of X إذا انتحقق ال condition الأول أو + +104 +00:12:03,910 --> 00:12:08,090 +الخاصية الأولى من خاصة Linear Transformation يبقى + +105 +00:12:08,090 --> 00:12:12,350 +هذه من هذه الخاصية الأولى بدأجي للخاصية الثانية + +106 +00:12:12,350 --> 00:12:17,630 +بدأ أخد two vectors يبقى بدأجي أقوله let X وY + +107 +00:12:17,630 --> 00:12:23,830 +موجودة في ال vector space RN + +108 +00:12:25,570 --> 00:12:32,460 +بتاخد T of X زائد Y يساويبناء على الـ definition + +109 +00:12:32,460 --> 00:12:37,080 +تابعناها هذا بيكون المصفوفة a في ال vector x زائد + +110 +00:12:37,080 --> 00:12:45,220 +y يبقى a في ال vector x زائد y هذا حسب خواص عملية + +111 +00:12:45,220 --> 00:12:52,720 +التوزيع على المصفوفات يبقى هذا بيكون ax زائد ay + +112 +00:12:52,720 --> 00:13:00,820 +هذا تعريف من ال T of x وهذا تعريف ال T of yيبقى + +113 +00:13:00,820 --> 00:13:05,420 +تحقق ال condition الثاني ولا لا يبقى بناء عليه so + +114 +00:13:05,420 --> 00:13:12,940 +T is a linear transformationإذا انتهينا من المطلوب + +115 +00:13:12,940 --> 00:13:17,780 +الأول اللي هو نمرا A نمرا B قال هاتل ال kernel + +116 +00:13:17,780 --> 00:13:24,300 +التي باجي بقوله ال kernel التي حسب ال definition + +117 +00:13:24,300 --> 00:13:30,020 +هو مين؟ هو كل ال X اللي موجودة في ال vector space + +118 +00:13:30,020 --> 00:13:37,820 +RN بحيث أن T of X بدي تساوي 100 ال 0، 0 تبع مين؟ + +119 +00:13:39,260 --> 00:13:45,800 +تبع RM مش هيك عرفنا ال kernel كل ال vectors اللي + +120 +00:13:45,800 --> 00:13:49,240 +في ال vector space الأول و اللي صورتهم بيكون ال + +121 +00:13:49,240 --> 00:13:54,920 +zero تبع ال vector space الثاني تمام يبقى هنا كل + +122 +00:13:54,920 --> 00:13:59,940 +ال X اللي موجودة في RN بحيث ان T of X بده يساوي + +123 +00:13:59,940 --> 00:14:05,510 +zeroيبقى هذا بدى يساوي كل ال X اللى موجودة في RN + +124 +00:14:05,510 --> 00:14:09,730 +such that + +125 +00:14:09,730 --> 00:14:15,570 +ال T of X حسب ال definition مين ال A X بدى يساوي + +126 +00:14:15,570 --> 00:14:19,570 +Zero بالشكل اللى عندنا هذا يبقى هذا ايش معناه يا + +127 +00:14:19,570 --> 00:14:29,800 +بنات كل ال Xهه اللي موجودة في RN يعني call vectors + +128 +00:14:29,800 --> 00:14:34,740 +ما لهم بحيث ال X يساوي Zero يعني هذا بيعطينا مين + +129 +00:14:34,740 --> 00:14:41,020 +مجموعة الحلول ال homogenous system مظبوط يبقى هذا + +130 +00:14:41,020 --> 00:14:52,500 +معناه اللي هو the set of all solutions of the + +131 +00:14:54,210 --> 00:15:04,170 +هوموجينيا سيستم الهو ax بده يساوي من زرع شو شكلهم + +132 +00:15:04,170 --> 00:15:09,510 +اش ما يكون يكون يبقى ملموعة كل الحلول للهوموجينيا + +133 +00:15:09,510 --> 00:15:15,170 +سيستم اكم حلله الهوموجينيا سيستمأما حل واحد هو + +134 +00:15:15,170 --> 00:15:20,370 +الحل الصفري أو عدد لانهائي من الحلول وهذا العدد + +135 +00:15:20,370 --> 00:15:24,550 +النهائي يجتمع عالميا على الحل الصفري نفسه طيب ما + +136 +00:15:24,550 --> 00:15:29,470 +علينا يبقى حسبنا له كيرنل يبقى كيرنل تبع هذه ال + +137 +00:15:29,470 --> 00:15:35,710 +function هو كل الحلول لل homogenous system X بده + +138 +00:15:35,710 --> 00:15:42,480 +يساوي مان؟ بده يساوي Zero طيب نمرى ال Cنمرا سيجا + +139 +00:15:42,480 --> 00:15:46,460 +اللي هتل ال range تبع ال T باجي بقول له ال range + +140 +00:15:46,460 --> 00:15:55,530 +تبع ال T هو مين؟كل العناصر اللي موجودة في الـ RM + +141 +00:15:55,530 --> 00:16:02,990 +يبقى كل ال vectors Y اللي موجودة في الـ RM بحيث ان + +142 +00:16:02,990 --> 00:16:12,250 +الـ Y هذه بدها تساوي T of X for some X اللي موجودة + +143 +00:16:12,250 --> 00:16:19,660 +في الـ RN مش هيك تعريف ال rangeمظبوط كل العناصر + +144 +00:16:19,660 --> 00:16:27,220 +اللي موجودة في ال domain RM و اللي إلها أصل في ال + +145 +00:16:27,220 --> 00:16:33,980 +domain RM طيب تمام تمام يبقى هذي بده أعيد صياغتها + +146 +00:16:33,980 --> 00:16:40,080 +مرة تانية فبقول كل ال Y اللي موجودة في RM such + +147 +00:16:40,080 --> 00:16:44,680 +that ال Y بده يساوي T of X حسب ال definition بده + +148 +00:16:44,680 --> 00:16:55,850 +يساوي مين؟الـ AX هي + +149 +00:16:55,850 --> 00:17:03,470 +نكمل for some X + +150 +00:17:03,470 --> 00:17:10,830 +اللي موجودة في الـ RNإذاً كل ال Y اللي موجودة في + +151 +00:17:10,830 --> 00:17:16,610 +ال RM بحيث ال Y على الشكل A of X for some X اللي + +152 +00:17:16,610 --> 00:17:23,220 +موجودة في ال RN يعني إيش قصدا نقول؟يبقى كل القيم + +153 +00:17:23,220 --> 00:17:28,840 +اللي هي Y بحيث الـ non homogeneous system has a + +154 +00:17:28,840 --> 00:17:35,440 +solution ماقلتش حلول هذا ال system لأ يبقى باجي + +155 +00:17:35,440 --> 00:17:43,740 +بقول هذا الكلام بده يساوي the set of all elements + +156 +00:17:45,790 --> 00:17:58,650 +Y الموجودة في الـ RM such that بحيث ان ال system + +157 +00:17:58,650 --> 00:18:05,290 +X يساوي Y has a solution + +158 +00:18:12,620 --> 00:18:17,080 +يعني المقصود بهذا الحل الـ Y's و لا الـ X's + +159 +00:18:17,080 --> 00:18:23,820 +الإجابة الـ Y's لأن هذا الـ non homogeneous system + +160 +00:18:23,820 --> 00:18:27,720 +قد يكون له حل و قد لا يكون له حل مش هيك ده اللي + +161 +00:18:27,720 --> 00:18:31,320 +أخدناه قبلك ان الـ non homogeneous system ممكن + +162 +00:18:31,320 --> 00:18:36,320 +يكون مالوش حلول و ممكن يكون حل وحيد و ممكن يكون + +163 +00:18:36,320 --> 00:18:41,770 +عدد لا نهائي من الحلولهذا ما تقوله؟ كل العناصر Y + +164 +00:18:41,770 --> 00:18:45,670 +بحيث ال system هذا له حلول يبقى لو مالهوش حلول + +165 +00:18:45,670 --> 00:18:51,910 +مالهم مستبعدة كليا يبقى سواء كان حل واحد أو عدد + +166 +00:18:51,910 --> 00:18:55,510 +لنهائي من الحلول على كل الأمرين الأمر الجوابي لأن + +167 +00:18:55,510 --> 00:19:02,630 +هذا ماله جواب صحيح إذا طلع الفرج ما بين A وB ال B + +168 +00:19:02,630 --> 00:19:10,830 +يا ترى صبصت من RN و لا RMمن مين؟ من RN هذا ال + +169 +00:19:10,830 --> 00:19:16,530 +kernel طيب ال range subset من مين؟ من RM لأن ال + +170 +00:19:16,530 --> 00:19:22,110 +range المدى الصور تبعت العناصر يبقى في الحلقة كل + +171 +00:19:22,110 --> 00:19:25,910 +ال solutions تبع ال homogeneous system ال solution + +172 +00:19:25,910 --> 00:19:30,750 +يعني قيم X وال X قولنا وين موجودةبالنسبة للـ RM + +173 +00:19:30,750 --> 00:19:34,810 +يبقى هذا يتفق وكلمنا تماما الـ range قولنا هو جزء + +174 +00:19:34,810 --> 00:19:38,490 +من الـ RM لذلك قولنا الـ range كل العناصر اللي + +175 +00:19:38,490 --> 00:19:43,690 +موجودة في RM يبقى كل العناصر اللي موجودة في RM + +176 +00:19:43,690 --> 00:19:48,330 +بحيث الـ non homogeneous system هذا له solution + +177 +00:19:48,330 --> 00:19:55,480 +يبقى انتهينا من النقطة C بدنا نروح للنقطة ديالنقطة + +178 +00:19:55,480 --> 00:20:00,140 +دي بيقوللي اثبتلي ان ال T of X سوى X defined a + +179 +00:20:00,140 --> 00:20:03,720 +Linear Transformation يعني Linear Transformation + +180 +00:20:03,720 --> 00:20:08,540 +من ال RN للRM دائما و أبدا تاخد الشكل اللي عندنا + +181 +00:20:08,540 --> 00:20:14,240 +هذا بقولك كويس اذا بدنا نبدأ الحل كتالي بده اجي + +182 +00:20:14,240 --> 00:20:19,760 +علمين على ال RN و اروح اخد ال basis تبعه و نتفهم + +183 +00:20:19,760 --> 00:20:26,220 +عليه بعد هيكيبقى هنا بجي بقول له let E1 يبقى يساوي + +184 +00:20:26,220 --> 00:20:36,640 +1 و 0 و 0 و لغاية 0 و E2 يساوي 0 و 1 و 0 لغاية 0 و + +185 +00:20:36,640 --> 00:20:43,880 +نظل ماشيين لغاية ما نصل الى EN 001 + +186 +00:20:43,880 --> 00:20:50,500 +بالشكل اللي عندنا هنايبقى خدت هدول مين هدول ال + +187 +00:20:50,500 --> 00:20:56,880 +bases تبعات مين تبعات العناصر ال bases تبعات ال RN + +188 +00:20:56,880 --> 00:21:09,740 +يبقى هدول العناصر لت بي the standard bases + +189 +00:21:09,740 --> 00:21:13,780 +for RN + +190 +00:21:15,360 --> 00:21:31,020 +يبقى دول عناصر ال standard basis لمن؟ لل RN كويس + +191 +00:21:31,020 --> 00:21:42,660 +بدا أفترض برضه suppose that افترض ان ال T of E1 + +192 +00:21:42,660 --> 00:21:54,590 +بده يسوي E1و T of E2 هو A2 وانظر لغاية T of EN هو + +193 +00:21:54,590 --> 00:21:59,330 +AN خليني + +194 +00:21:59,330 --> 00:22:04,890 +أسألكم السؤال التالي ال A1 و ال A2 و ال A3 و ال AN + +195 +00:22:04,890 --> 00:22:11,540 +شم هدول؟يعني answer real number والله vector يعني + +196 +00:22:11,540 --> 00:22:18,600 +مصفوفة والله ايه شو a1 هذا؟ vector ليش؟ لأن T of + +197 +00:22:18,600 --> 00:22:24,540 +E1 E1 موجود في ال R in صورة وين؟ في ال R M يبقى + +198 +00:22:24,540 --> 00:22:28,360 +هذا vector و ال vector عليها شكل مصفوفة عمودية + +199 +00:22:28,360 --> 00:22:35,620 +فيها M من الصفوف و عمود واحد يبقى هنا where + +200 +00:22:38,960 --> 00:22:52,300 +حيث ال A1 و ال A2 و لغاية ال AM RM في one matrices + +201 +00:22:52,300 --> 00:22:59,260 +يعني وين موجود كل واحد فيهم؟فى ال R M يعني كأنه + +202 +00:22:59,260 --> 00:23:05,500 +ايش A1 و A2 مجصدي ال A1 بده يساوي X1 و X2 لغاية X + +203 +00:23:05,500 --> 00:23:11,640 +M تمام يعني موجود فى ال R M تمام التمام طيب كويس + +204 +00:23:11,640 --> 00:23:17,420 +احنا عايزا الان كيف ANA مش سامع ليه حطت هنا AN مش + +205 +00:23:17,420 --> 00:23:24,320 +Mم في واحد لماذا الموجودة في الار ام كل element + +206 +00:23:24,320 --> 00:23:30,000 +مكون من ام من العناصر بدل ما هو الرقم الأول فاصل + +207 +00:23:30,000 --> 00:23:34,060 +الرقم اللي كتبته على شكل عمود مكون من ام من الصفوف + +208 +00:23:34,060 --> 00:23:43,060 +و عمود واحد فقط يبقى اقول ان كل الان ان كلهم ار ام + +209 +00:23:43,060 --> 00:23:44,800 +في one matrices + +210 +00:23:50,880 --> 00:23:57,880 +belongs to RM يبقى كلها موجودة في الـ RM بالشكل + +211 +00:23:57,880 --> 00:24:04,180 +اللي عندنا هناأيش بقولي بقولي هذه ال T اللي أنت + +212 +00:24:04,180 --> 00:24:09,300 +أخدتها من ال RN لل RM بدي أثبت إنه دايما و أبدا + +213 +00:24:09,300 --> 00:24:12,440 +بقدر أكتبها على مين على الشكل اللي عندنا هذا + +214 +00:24:12,440 --> 00:24:18,120 +يمكنني أن أروح أخد element X موجود في RN و أشوف شو + +215 +00:24:18,120 --> 00:24:23,600 +بدي أساوي أنا إذا لو جيت قلت خدلي ال X اللي هو بدي + +216 +00:24:23,600 --> 00:24:31,340 +أساوي من X1 و X2 و لغاية XMالإنسان موجود في كل + +217 +00:24:31,340 --> 00:24:38,430 +مكانبالـ RN يعني T بيقدر يؤثر عليه حتى أقول T of X + +218 +00:24:38,430 --> 00:24:44,210 +بدي أثبت أنه بدي يسوى main X طيب هذا مش يسوى + +219 +00:24:44,210 --> 00:24:52,030 +مجموعة من ال vector X 1 و 0 و 0 لغاية الـ 0 زائد 0 + +220 +00:24:52,030 --> 00:24:59,490 +و X 2 و 0 و 0 زائد و تبقى ماشية لغاية ما توصل إلى + +221 +00:24:59,490 --> 00:25:07,910 +0و 0 و XN ولا لأيبقى هذا العنصر كتبته على شكل + +222 +00:25:07,910 --> 00:25:13,970 +مجموعة من مين؟ من العناصر يبقى لو جيت اخدت x1 عامل + +223 +00:25:13,970 --> 00:25:24,070 +مشترك بيظل كده؟ 100 زيد x2 0 و 1 و 0 و 0 زيد ان + +224 +00:25:24,070 --> 00:25:32,910 +بيظل ماشيين xn 0 و 0 و 1 بالشكل اللي عندنا هذايبقى + +225 +00:25:32,910 --> 00:25:38,350 +واحد وهيجفلنا مين؟ الجوز لعلكوا الآن أدركتوا ما هو + +226 +00:25:38,350 --> 00:25:43,410 +السر اللي خلاني أبدأ بمين بالفرضية اللي عندنا هذه + +227 +00:25:43,410 --> 00:25:50,630 +تمام؟ يبقى هذه كإنه إيه يا شبنات؟ كإنه X1E1 وهذه + +228 +00:25:50,630 --> 00:26:00,820 +X2E2 وضلت ماشي إلى غاية XNEN هذا مين؟الـ X يبقى + +229 +00:26:00,820 --> 00:26:06,600 +الـ X اللي عندي هذا كتبته على شكل linear + +230 +00:26:06,600 --> 00:26:12,100 +combination من عناصر ال bases تمام الان T linear + +231 +00:26:12,100 --> 00:26:17,560 +transformation بدي أخليها تأثر على مين؟على X يبقى + +232 +00:26:17,560 --> 00:26:22,800 +بالداجي هاخدله T of X اللي أنا بدور عليها يبقى + +233 +00:26:22,800 --> 00:26:28,780 +بتثوي T للمقدار هذا كله ونظرا لأنها T Linear + +234 +00:26:28,780 --> 00:26:36,600 +Transformation يبقى بتصير T of X1 E1 زائد T of X2 + +235 +00:26:36,600 --> 00:26:46,120 +E2 زائد زائدT of X N E N ليش الكلام هذا since لأن + +236 +00:26:46,120 --> 00:26:54,420 +T is a linear transformation طيب من خواصة ال + +237 +00:26:54,420 --> 00:26:59,240 +linear transformation الأن ال E1 vector طب و ال X1 + +238 +00:26:59,240 --> 00:27:14,240 +vector ولا scalarأول خاصية يبقى هنا X1 في T of E1 + +239 +00:27:14,240 --> 00:27:25,130 +زائد X2 في T of E2 زائد زائد XN في T of ENيبقى هذا + +240 +00:27:25,130 --> 00:27:33,850 +الكلام بدي يساوي X1A1 زي ال X2A2 زي ال XNAN حسب ما + +241 +00:27:33,850 --> 00:27:39,110 +نفرض فوق صحيح ولا لأ؟ طيب وقولنا ال اهات مالهم + +242 +00:27:39,110 --> 00:27:46,790 +هدول؟ مصفوفات يبقى هدول ماله مصفوفات طيب سؤال أليس + +243 +00:27:46,790 --> 00:27:55,080 +هذا هو حاصل الضرب AX؟صح ولا لأ؟ لأن هذه الـA + +244 +00:27:55,080 --> 00:28:00,860 +مصوفات اللي عندنا هذه تمام؟ كأنه ايش؟ كأن الـE1 + +245 +00:28:00,860 --> 00:28:04,740 +مصوفة عمود الـA2 مصوفة عمود الـA3 ماصوفة عمود + +246 +00:28:04,740 --> 00:28:05,160 +الـA4 ماصوفة عمود الـA5 ماصوفة عمود الـA6 ماصوفة + +247 +00:28:05,160 --> 00:28:05,180 +عمود الـA7 ماصوفة عمود الـA8 ماصوفة عمود الـA9 + +248 +00:28:05,180 --> 00:28:06,220 +ماصوفة عمود الـA9 ماصوفة عمود الـA9 ماصوفة عمود + +249 +00:28:06,220 --> 00:28:06,480 +الـA9 ماصوفة عمود الـA9 ماصوفة عمود الـA9 ماصوفة + +250 +00:28:06,480 --> 00:28:09,080 +عمود الـA9 ماصوفة عمود الـA9 ماصوفة عمود الـA9 + +251 +00:28:09,080 --> 00:28:17,640 +ماصوفة عمود الـA9مظبوط يبقى هذا ال ax where حيث ال + +252 +00:28:17,640 --> 00:28:25,440 +a هي المصحوفة لعمودي a1 و a2 و لغاية an بالشكل + +253 +00:28:25,440 --> 00:28:31,230 +اللي عندنايعني كل واحد من A1 و A2 و AN هو عمود + +254 +00:28:31,230 --> 00:28:37,530 +لمن؟ للمصوفة A يبقى من الأنفا ساعدا أي linear + +255 +00:28:37,530 --> 00:28:41,930 +transformation من ال RN إلى ال RM تكون دائما و + +256 +00:28:41,930 --> 00:28:48,150 +أبدا على الشكل T of X بيساوي 100 يساوي AX و هكذا + +257 +00:28:48,150 --> 00:28:54,340 +حد فيكم بتحب تسأل أي سؤال هنا؟طيب انتهينا من + +258 +00:28:54,340 --> 00:28:59,160 +المثال الثاني بدنا نروح للمثال الثالث + +259 +00:29:31,620 --> 00:29:39,580 +Example 3 بيقول + +260 +00:29:39,580 --> 00:29:52,620 +LED T من R3 لغاية R3 بـ A linear transformation + +261 +00:29:52,620 --> 00:30:05,450 +defined by معرفة على الشكل التاليفى ofX هو عبارة + +262 +00:30:05,450 --> 00:30:16,090 +عن TR X1 و X2 و X3 بالشكل اللي عندنا هذا بده يساوي + +263 +00:30:16,090 --> 00:30:25,630 +حصل ضرب 101 112213 + +264 +00:30:25,630 --> 00:30:36,400 +في X1 X2 X3الشكل اللي عندنا هذا المطلوب الأول نمر + +265 +00:30:36,400 --> 00:30:49,960 +ايه find ال kernel التي and ال dimension لل kernel + +266 +00:30:49,960 --> 00:31:01,420 +التي نمر بيه find a bases + +267 +00:31:07,180 --> 00:31:20,940 +Find a basis for R of T and الـ dimension للـ R of + +268 +00:31:20,940 --> 00:31:24,660 +T نمره + +269 +00:31:24,660 --> 00:31:37,560 +C Find T of واحد و اتنين و تلاتة نمره Dis the + +270 +00:31:37,560 --> 00:31:44,220 +element + +271 +00:31:44,220 --> 00:31:53,860 +اتنين وخمسة وسبعة موجود في ال R of T ام لا؟ + +272 +00:32:14,190 --> 00:32:19,150 +سؤال مرة تانيةطبعا زي ما انت شايفين من سؤال إلى + +273 +00:32:19,150 --> 00:32:25,570 +سؤال بتختلف الفكرة شوية بيقول افترض T من R3 إلى R3 + +274 +00:32:25,570 --> 00:32:31,130 +بيه Linear Transformation واضح من RN إلى RM ايش + +275 +00:32:31,130 --> 00:32:35,970 +اتفاجنا النصيقه دايما من T of X بديه سوى من؟ بديه + +276 +00:32:35,970 --> 00:32:40,310 +سوى X من المثال اللي جابله يعني كأنه سؤالنا هذا هو + +277 +00:32:40,310 --> 00:32:45,150 +تطبيق عملي على من؟ على المثال اللي جابله، مظبوط؟ + +278 +00:32:45,410 --> 00:32:49,930 +يبقى كأن احنا بناطل أن مثال عددي تطبيق على المثال + +279 +00:32:49,930 --> 00:32:55,350 +النظري اللي جابله يبقى معرفة كالتالي T of X الـ X + +280 +00:32:55,350 --> 00:32:59,390 +هو اللي موجود في R3 يعني T of X واحد و X اتنين و X + +281 +00:32:59,390 --> 00:33:04,230 +تلاتة بتكتبهم على شكل عمود يبقى يقول T of X واحد X + +282 +00:33:04,230 --> 00:33:10,470 +اتنين X تلاتة بده يساوي حاصل ضرب المصوفة A أخدناها + +283 +00:33:10,470 --> 00:33:14,430 +بالشكل هذا في X اللي هو X واحد و X اتنين و X تلاتة + +284 +00:33:14,640 --> 00:33:17,780 +يبقى هذه الـ Linear Transformation اللي عندنا + +285 +00:33:17,780 --> 00:33:21,580 +مطلوب من هذه الـ Linear Transformation هي تبدأ الـ + +286 +00:33:21,580 --> 00:33:25,730 +Kernelو بدي ال dimension للكيرنل لان كيرنل ماله + +287 +00:33:25,730 --> 00:33:31,790 +sub space يعني space بدي ال dimension له جداش تنين + +288 +00:33:31,790 --> 00:33:38,350 +بدي basis لل range بدي ال vectors اللي بوالدولي ال + +289 +00:33:38,350 --> 00:33:42,650 +range تبع من ال subspace R of T و بعد هيك بدي ال + +290 +00:33:42,650 --> 00:33:47,570 +dimension كمان لل R of T يعني كل نقطة زي ما تلاحظت + +291 +00:33:47,570 --> 00:33:50,730 +ب main بمطلبين لكن إذا جبت المطلب الأول بصير + +292 +00:33:50,730 --> 00:33:55,160 +المطلب التاني السهل تحصيل حصلالمطلوب نمرى C بيقول + +293 +00:33:55,160 --> 00:33:58,840 +لي هاتلي T of واحد واثنين وثلاث بتعرف قداش صورة + +294 +00:33:58,840 --> 00:34:03,340 +واحد واثنين وثلاث شو بتعطيني الأمر الرابع بيقول لي + +295 +00:34:03,340 --> 00:34:08,100 +هل العنصر هذا موجود في ال range أم لا؟ بيقول له + +296 +00:34:08,100 --> 00:34:13,400 +الله أعلم يبقى بداجي للنقطة الأولى اللي هي A قال + +297 +00:34:13,400 --> 00:34:18,280 +لي هاتلي ال kernelبقول له قبل ال kernel خلّيني أحط + +298 +00:34:18,280 --> 00:34:24,740 +هذه في شكل ألطف من هيك شوية بقوله كيف بقوله هيتي + +299 +00:34:24,740 --> 00:34:35,180 +of X1 X2 X3 كمصفوفة الشكل اللي عندنا تمام؟ بده + +300 +00:34:35,180 --> 00:34:41,490 +يساوي حاصل ضرب هدول طب مضربهم في بعضماشي يبقى لو + +301 +00:34:41,490 --> 00:34:45,690 +روحت ضربتم في بعض بيقول لمين الصف الأول في العمود + +302 +00:34:45,690 --> 00:34:54,690 +الأول يبقى x1 زائد x3 الصف الثاني يبقى x1 زائد x2 + +303 +00:34:54,690 --> 00:35:08,130 +زائد 2x3 الصف التالت 2x1 زائد x2 زائد 3x3 هاي + +304 +00:35:08,130 --> 00:35:13,070 +ضربنايبقى هذا الـlinear transformation المعرفة عنه + +305 +00:35:13,070 --> 00:35:21,360 +جالي هاتل الكيرنل باجي بقوله اه الكيرنلالتي هو كل + +306 +00:35:21,360 --> 00:35:26,880 +ال X's اللي موجودة في ال R3 اللي عندها و اللي + +307 +00:35:26,880 --> 00:35:33,580 +صورتها T of X بده يساوي مين؟ بده يساوي Zero يبقى + +308 +00:35:33,580 --> 00:35:39,660 +هذه كل ال X's ال X هذه اللي هي مين؟ X واحد و X + +309 +00:35:39,660 --> 00:35:45,650 +اتنين و X تلاتة اللي موجودة في ال R3 صتش دهلما + +310 +00:35:45,650 --> 00:35:49,810 +أقول هذا الـT of X ساوي 0، الـT of X ساوي مين؟ + +311 +00:35:49,810 --> 00:35:54,170 +يساوي هذا كله، معناته هذه بدها تساوي مين؟ بدها + +312 +00:35:54,170 --> 00:36:00,630 +تساوي المصوفة الصفرية يبقى ده such that المصوفة دي + +313 +00:36:00,630 --> 00:36:12,850 +X1 زائد X3وهنا X1 زائد X2 زائد 2 X3 وهنا 2 X1 زائد + +314 +00:36:12,850 --> 00:36:20,570 +X2 ثلاثة X3 كله بيساوي المصفوفة الصفرية اللي عندنا + +315 +00:36:20,570 --> 00:36:27,790 +بالشكل هذا تمام؟ اذا انا طبقت حتى الان تعريف من ال + +316 +00:36:27,790 --> 00:36:33,830 +kernel هذا يا بنات بيقودنا الى كام معادلة؟يعني هو + +317 +00:36:33,830 --> 00:36:38,630 +homogeneous system صح ولا لأ؟ يبقى هذا يقودنا إلى + +318 +00:36:38,630 --> 00:36:48,330 +ما يأتي ان X1 زائد X3 يسوى 0 و X1 زائد X2 زائد 2 + +319 +00:36:48,330 --> 00:36:58,590 +X3 يسوى 0 و 2X1 زائد X2 زائد 3X3 يسوى 0 هذا عبارة + +320 +00:36:58,590 --> 00:37:03,230 +عن ماذا؟Homogeneous System بحاول نحل الـ + +321 +00:37:03,230 --> 00:37:07,270 +Homogeneous System بأي طريقة من الطرق التي سبقت + +322 +00:37:07,270 --> 00:37:11,870 +دراستها طبعا الـ Homogeneous أسهل من الـ Non + +323 +00:37:11,870 --> 00:37:14,890 +-Homogeneous في الحل وبالتالي ممكن نجيب الحل + +324 +00:37:14,890 --> 00:37:19,930 +بسهولة بدون ملجأ لـ Gaussian ولا لـ Rho Epsilon + +325 +00:37:19,930 --> 00:37:24,790 +Form إلى آخرى فمثلا لو جيت قلت هنا X واحد تتساوي + +326 +00:37:24,790 --> 00:37:32,000 +مين يا بنات؟بدي يساوي سالب X3 مظبوط طيب إذا لو جيت + +327 +00:37:32,000 --> 00:37:38,640 +على المعدل التاني هذا إيش بيصير سالب X3 زائد X2 + +328 +00:37:38,640 --> 00:37:48,770 +زائد 2 X3 بدي يساوي Zero وهنا سالب 2 X3زائد X2 + +329 +00:37:48,770 --> 00:37:51,710 +زائد X3 زائد X2 زائد X2 زائد X3 زائد X2 زائد X2 + +330 +00:37:51,710 --> 00:37:52,070 +زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 + +331 +00:37:52,070 --> 00:37:55,290 +زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 + +332 +00:37:55,290 --> 00:37:58,550 +زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 + +333 +00:37:58,550 --> 00:37:58,550 +زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 + +334 +00:37:58,550 --> 00:37:58,550 +زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 + +335 +00:37:58,550 --> 00:38:01,530 +زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 زائد X2 + +336 +00:38:01,530 --> 00:38:11,710 +زائد X2 زائد X + +337 +00:38:11,740 --> 00:38:21,720 +بتبقى x2 زائد x3 يساوي 0 و هذه بتعطيني x2 زائد x3 + +338 +00:38:21,720 --> 00:38:28,280 +يساوي 0 يعني بتعطيني مين؟ نفس المعادلة إذا من + +339 +00:38:28,280 --> 00:38:36,720 +الاتنين هدول بقدر أقول ان x2 بده يساوي سالب x3يبقى + +340 +00:38:36,720 --> 00:38:44,160 +بناء عليه لو كانت x تلاتة تساوي a then x واحد كده + +341 +00:38:44,160 --> 00:38:52,920 +بده يساويو X2 بده يسوي كده؟ سالب A يبقى أصبح الـ + +342 +00:38:52,920 --> 00:38:59,340 +Kernel لمن؟ لـ Linear Transformation T هو عبارة عن + +343 +00:38:59,340 --> 00:39:05,920 +من؟ The set of all elements X1 اللي يبقى كده؟ سالب + +344 +00:39:05,920 --> 00:39:15,850 +A و X2 اللي هو سالب A و X3 اوهذا اللي بقدر اكتب + +345 +00:39:15,850 --> 00:39:21,690 +عليه الشكل التالي كل المصوف اللي ع شكل ناقص ايه + +346 +00:39:21,690 --> 00:39:27,870 +ناقص ايه و ايه such that او هذا اللي بده يساوي + +347 +00:39:27,870 --> 00:39:33,910 +كمان ايه لو أخدت عامل مشترك بده يكون مين ناقص واحد + +348 +00:39:33,910 --> 00:39:39,570 +ناقص واحد واحد such that ال a موجودة في ال set of + +349 +00:39:39,570 --> 00:39:44,330 +real numbersيعني ماحطيتش عليها أي قيود لأي عدد + +350 +00:39:44,330 --> 00:39:52,070 +حقيقي من مكان يكون تمام؟ إذا أصبح ال kernel من هو؟ + +351 +00:39:52,070 --> 00:39:58,590 +هو كل ال vectors اللي المركبة الأولى تساوي المركبة + +352 +00:39:58,590 --> 00:40:03,070 +الثانية و المركبة التالتة باس تساويهم لكنها تخلفهم + +353 +00:40:03,070 --> 00:40:07,990 +في من؟ الإشارة يبقى ال vector هذا منات إيش علاقته + +354 +00:40:07,990 --> 00:40:17,040 +بال kernel؟بجيب بعض عناصر الكرنن ولا كلهم؟ يعني + +355 +00:40:17,040 --> 00:40:23,300 +إيش بينفع يكون؟bases لأنه مستقل حاله لينياري مش + +356 +00:40:23,300 --> 00:40:28,720 +معتمد على غيره يبقى هذا لينياري independent اثنين + +357 +00:40:28,720 --> 00:40:33,780 +كل أنصر في ال kernel بقدر اكتب دلته حطيت قيود على + +358 +00:40:33,780 --> 00:40:39,340 +ايه لأ يبقى حط الرقم اللي يجبك وهذا ثابت يبقى هذا + +359 +00:40:39,340 --> 00:40:43,800 +معناته ال bases للكيرنل هو مين ال vector اللي + +360 +00:40:43,800 --> 00:40:53,340 +عندنا هذا يبقى هذا معناه ايش معناه ذاVector لحاله + +361 +00:40:53,340 --> 00:41:01,200 +أو the set هذا معناته ال vector + +362 +00:41:01,200 --> 00:41:08,220 +على الشكل هذا سالب واحد سالب واحد هذا is a basis + +363 +00:41:08,220 --> 00:41:24,320 +for ال kernel التيهذا معناته ان ال dimension لل + +364 +00:41:24,320 --> 00:41:29,660 +kernel of T يساوي جداش يا بنات خلصنا المطلوب الأول + +365 +00:41:30,630 --> 00:41:33,890 +قال لي هتل ال kernel و في نفس الوقت هتل ال + +366 +00:41:33,890 --> 00:41:40,770 +dimension تمام؟ إذا هيجب ناله ال kernel من هو كل + +367 +00:41:40,770 --> 00:41:45,050 +ال vectors اللي المركبة الأولى تساوي المركبة + +368 +00:41:45,050 --> 00:41:50,010 +التانية تساوي المركبة التالتة بإشارة مخالفة يبقى + +369 +00:41:50,010 --> 00:41:55,010 +هذا كل ال kernel إذا بقدر أحدد منهما كم vector + +370 +00:41:55,010 --> 00:42:03,880 +هدول يا بنات؟2 3 4 10 100 عدد لا نهائي لأن الـ a + +371 +00:42:03,880 --> 00:42:11,100 +هو عدد لا نهائي من الـ vector تمام إذا جلبنا الـ + +372 +00:42:11,100 --> 00:42:14,940 +main جلبنا ال basis اللي هو بالتالي جلبنا ال + +373 +00:42:14,940 --> 00:42:19,540 +dimension لـ main لل kernel بالمثل بدنا نروح نجلب + +374 +00:42:19,540 --> 00:42:23,540 +mainالمطلب الثاني المطلب الثاني بال domain ال + +375 +00:42:23,540 --> 00:42:29,280 +bases لل range تمام؟ إذا بروح أجيب له ال bases لل + +376 +00:42:29,280 --> 00:42:34,720 +range يبقى هذا ال element موجود في ال range ولا + +377 +00:42:34,720 --> 00:42:41,320 +لا؟ صح ولا لا؟ يبقى هذا ال element موجود في ال + +378 +00:42:41,320 --> 00:42:47,720 +range يبقى باجي بقوله هنا هذا نمرا a نمرا b the b + +379 +00:42:47,720 --> 00:42:48,980 +أو the element + +380 +00:42:51,600 --> 00:43:00,500 +اللي هو على الشكل التالي X1 زائد X3 و X1 زائد X2 + +381 +00:43:00,500 --> 00:43:14,940 +زائد 2 X3 و 2 X1 زائد X2 زائد 3 X3 موجود في R of D + +382 +00:43:14,940 --> 00:43:20,220 +طب بدى أشوف ال element هذا إيش بقدر أعمل منه + +383 +00:43:33,550 --> 00:43:36,010 +تعالى نشوف ال element هذا اللى موجود فى ال range + +384 +00:43:36,010 --> 00:43:43,650 +شو شكله يبقى باجي بقولهم ال element هذا x1 زائد x3 + +385 +00:43:43,650 --> 00:43:57,150 +اللى بعده x1 زائد x2 زائد 2x3 2x1 زائد x2 زائد 3x3 + +386 +00:43:57,150 --> 00:44:03,470 +ويسوىهذا ال element أخدته من ال R of T يعني من ال + +387 +00:44:03,470 --> 00:44:07,490 +range طبعا هيش قاللي ماجلليش هاترين قاللي هاتلي + +388 +00:44:07,490 --> 00:44:13,170 +basis لل range بقوله كويس طيب هذا يا بنات بقدر + +389 +00:44:13,170 --> 00:44:20,770 +أكتبه على شكل مجموع تلاتة vectorsأه بنقدر، كيف كان + +390 +00:44:20,770 --> 00:44:31,360 +التالي؟ بداخل هنا x1 وهنا x1 وهنا 2x1هو اجي اقول + +391 +00:44:31,360 --> 00:44:36,320 +زاد المصفوف التاني اكس اتنين ماعنديش يبقى بزيرو + +392 +00:44:36,320 --> 00:44:43,140 +وهي اكس اتنين وهي اكس اتنين زاد بدهاجي لمين للي + +393 +00:44:43,140 --> 00:44:50,220 +بعده اكس تلاتة اتنين اكس تلاتة تلاتة اكس تلاتة + +394 +00:44:50,220 --> 00:44:57,420 +مظبوط هيك؟طيب بقدر اقول هذا الكلام لو اخدت x واحد + +395 +00:44:57,420 --> 00:45:04,220 +بصير واحد واحد اتنين زائد zero واحد واحد و هنا x + +396 +00:45:04,220 --> 00:45:10,660 +اتنين زائد x اتنين و جينا اللي بعده زائد x تلاتة + +397 +00:45:10,660 --> 00:45:17,230 +في واحد اتنين تلاتة بالشكل اللي عندنا هذايبقى ال + +398 +00:45:17,230 --> 00:45:21,070 +element اللى موجود فى ال range حطيته على صيغة + +399 +00:45:21,070 --> 00:45:27,950 +linear combination من من ال vectors التلاتة اللى + +400 +00:45:27,950 --> 00:45:32,790 +عندنا يبقى أي element فى ال range كتبته على صيغة + +401 +00:45:32,790 --> 00:45:36,970 +linear combination من three vectors x1 فى ال + +402 +00:45:36,970 --> 00:45:41,010 +vector زاد x2 فى ال vector زاد x3 فى ال vector + +403 +00:45:41,010 --> 00:45:47,950 +التالىلو طلعوا هدول linearly independent بيصير هم + +404 +00:45:47,950 --> 00:45:53,610 +ال bases طب لو طلعوا linearly dependent بدك تدور + +405 +00:45:53,610 --> 00:46:00,010 +على ال bases تعالوا نطلع هك ندجج النظر لو جمعت ال + +406 +00:46:00,010 --> 00:46:07,150 +two vectors هدول قدش بيعطيني ايه التالت بيعطيني + +407 +00:46:07,150 --> 00:46:13,280 +التالتو 1 زي 0 ب1 و 1 ب1 ب2 ب2 ب1 ب3 ب3 ب3 ب3 ب3 + +408 +00:46:13,280 --> 00:46:13,760 +ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 + +409 +00:46:13,760 --> 00:46:14,000 +ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 + +410 +00:46:14,000 --> 00:46:16,760 +ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 + +411 +00:46:16,760 --> 00:46:17,760 +ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 + +412 +00:46:17,760 --> 00:46:17,760 +ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 + +413 +00:46:17,760 --> 00:46:26,640 +ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 ب3 + +414 +00:46:26,640 --> 00:46:33,340 +بوبالتالي الاتنين هذول بيوضول بيوضولي جميع أناصر + +415 +00:46:33,340 --> 00:46:37,740 +ال vector of space أو ال subspace R of T طب و + +416 +00:46:37,740 --> 00:46:40,480 +التلت مش جزء و التلت ما هو linear combination من + +417 +00:46:40,480 --> 00:46:44,100 +الاتنين صحيح ولا يعني ايه بقدر اخلي هذا في شجة و + +418 +00:46:44,100 --> 00:46:46,660 +ادى هذول على شجة تانية ساوة زيرة و اخليها سالب + +419 +00:46:46,660 --> 00:46:49,240 +سالب و انت ايه رأي منهم يبقى ده اسم linearly + +420 +00:46:49,240 --> 00:46:55,200 +dependent لكن اتنين هذول linearly independent يبقى + +421 +00:46:55,200 --> 00:47:04,320 +باجي بقول هناالان الواحد والواحد واثنين زائد زيرو + +422 +00:47:04,320 --> 00:47:11,940 +واحد واحد بده يساوي واحد اتنين تلاتة اذا لا يمكن + +423 +00:47:11,940 --> 00:47:17,460 +اقول ان التلاتة دول linearly independent لكن يا + +424 +00:47:17,460 --> 00:47:25,480 +بنات بقدر اقول هنا the vectorsv1 اللي هو بده يساوي + +425 +00:47:25,480 --> 00:47:33,560 +11e2 وv2 بده يساوي 011r + +426 +00:47:33,560 --> 00:47:44,700 +ماله linearly independent السبب because anyone of + +427 +00:47:44,700 --> 00:47:59,140 +v1 and v2 is notmultiple of the other ولا واحد + +428 +00:47:59,140 --> 00:48:04,660 +فيهم مضاعفات التانية يبقى هدول إيش بيشكلولي؟ + +429 +00:48:04,660 --> 00:48:09,660 +بالنسبة ل R2 بيبقى هنا ساعة + +430 +00:48:17,300 --> 00:48:34,460 +V1 V2 V3 + +431 +00:48:34,460 --> 00:48:34,620 +V4 V5 V6 V7 V8 V9 V10 V11 V12 V13 V12 V13 V12 V12 + +432 +00:48:34,620 --> 00:48:34,620 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +433 +00:48:34,620 --> 00:48:35,020 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +434 +00:48:35,020 --> 00:48:35,080 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +435 +00:48:35,080 --> 00:48:35,180 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +436 +00:48:35,180 --> 00:48:35,180 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +437 +00:48:35,180 --> 00:48:35,180 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +438 +00:48:35,180 --> 00:48:35,180 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 + +439 +00:48:35,180 --> 00:48:39,590 +V12 V12 V12 V12 V12 V12 V12 V12 V12 V12 V122 عدد + +440 +00:48:39,590 --> 00:48:44,570 +العناصر في الـ Basel إذا خلصنا من المطلوب الثاني + +441 +00:48:44,570 --> 00:48:50,270 +قال لي هاتلي Basel لل R of T of 2 of T جيبناله و + +442 +00:48:50,270 --> 00:48:53,130 +قاللي هاتلي ال dimension جيبناله ال dimension + +443 +00:48:53,130 --> 00:48:58,810 +قاللي بعدين هاتلي صورة العنصر T of 1 و 2 و 3 إذا + +444 +00:48:58,810 --> 00:49:02,850 +بيداجي للمطلوب التالد + +445 +00:49:15,200 --> 00:49:21,440 +إذا المطلوب التالت نمرى الـC بدنا T of واحد واتنين + +446 +00:49:21,440 --> 00:49:29,300 +وتلاتة من وين بده أجيب له هذا؟ + +447 +00:49:29,300 --> 00:49:38,550 +من وين بده أجيب له؟ وين هي؟ مش هذه؟مش T of element + +448 +00:49:38,550 --> 00:49:42,250 +يساوي أي عنصر في ال range على الشكل اللي عندنا هذا + +449 +00:49:42,250 --> 00:49:47,550 +يبقى ده يقول X1 زي X3 كذا يبقى بناء ان عليه هذا + +450 +00:49:47,550 --> 00:49:54,210 +الكلام بده يساوي بده يساوي من X1 زي X3 يبقى 1 زي 3 + +451 +00:49:56,030 --> 00:50:05,930 +العنصر التاني X1 زي X2 زي 2X3 يبقى 1 زي 2 زي 3 + +452 +00:50:11,050 --> 00:50:21,370 +يبقى هذا العنصر التالت 2x1 يبقى 2 في 1 زائد 2 زائد + +453 +00:50:21,370 --> 00:50:28,010 +3 في 3 بالشكل اللي عندنا هذاتمام واحد زي التلاتة + +454 +00:50:28,010 --> 00:50:33,010 +كداش اربعة هنا اتنين في التلاتة بستة و تلاتة تسعة + +455 +00:50:33,010 --> 00:50:38,850 +تسعة و اتنين احداش و اتنين تلتاش اذا صورة العنصر + +456 +00:50:38,850 --> 00:50:44,370 +واحد و اتنين و تلاتة هي اربعة و تسعة و تلتاش اظن + +457 +00:50:44,370 --> 00:50:48,210 +واضح ادى كيف جيبناها جيبناها من خلال التعريف لما + +458 +00:50:48,210 --> 00:50:51,430 +قلنا T of X واحد و X اتنين لما ضربنا المصفوف T + +459 +00:50:51,430 --> 00:50:56,330 +الاتنين هادول طلعت على الشكل اللى قدامنا هذاطيب + +460 +00:50:56,330 --> 00:51:00,550 +بسأل كمان سؤال بقول لي هل العنصر هذا موجود في ال + +461 +00:51:00,550 --> 00:51:05,450 +range أم لا؟ بقول له الله أعلم تعالى نشوف يعني هل + +462 +00:51:05,450 --> 00:51:09,970 +العنصر اتنين و خمسة و سبعة موجود في ال range تبع + +463 +00:51:09,970 --> 00:51:16,130 +ال T باجي بسأل مين هو ال business تبع ال T؟إذا + +464 +00:51:16,130 --> 00:51:20,610 +قدرنا نكتب العنصر هذا على صورة linear combination + +465 +00:51:20,610 --> 00:51:25,050 +من الاتنين هذول بصير موجود في ال range صح ولا لأ + +466 +00:51:25,050 --> 00:51:30,580 +وإذا ماقدرناش يبقى مكون برا ال rangeطبعا إذا بداجي + +467 +00:51:30,580 --> 00:51:35,540 +لمن؟ لنمردي بداجي أخد العنصر اللي هو اتنين وخمسة + +468 +00:51:35,540 --> 00:51:41,680 +وسبعة يبقى اتنين وخمسة وسبعة بقدر اكتبه على شكل + +469 +00:51:41,680 --> 00:51:48,080 +مصوف اتنين خمسة سبعة مش هيك قولنا هذا if and قولي + +470 +00:51:48,080 --> 00:51:55,390 +if و بقدر اكتبه فوقي كمان طب إيش رأيك؟أنا بدي أكتب + +471 +00:51:55,390 --> 00:51:59,970 +عليه شكلًا يعني بدي الرقم الأول جد الرقم الثاني + +472 +00:51:59,970 --> 00:52:06,010 +الرقم الأول عندي مقداش اتنين والرقم الثاني بدي + +473 +00:52:06,010 --> 00:52:13,250 +يكون زيه اتنين والرقم التالت باتنين يبقى بدي أكتب + +474 +00:52:13,250 --> 00:52:16,170 +أربعة زاد + +475 +00:52:17,970 --> 00:52:22,250 +أيش بيظل عندي؟ بدي أكتبه الحين من اتنين أخدت اتنين + +476 +00:52:22,250 --> 00:52:26,910 +بيظل كده؟ Zero من الخمسة أخدت اتنين بيظل كده؟ + +477 +00:52:26,910 --> 00:52:32,170 +تلاتة من السبعة أخدت أربعة بيظل كده؟ تلاتة يبقى + +478 +00:52:32,170 --> 00:52:36,670 +هذا الكلام .. بقدر أخدي اتنين عامل مشترك أيش بيظل + +479 +00:52:36,670 --> 00:52:41,890 +عندي؟ واحد واحد اتنين بقدر أخد تلاتة عامل مشترك + +480 +00:52:41,890 --> 00:52:46,910 +Zero واحد واحد linear combination من الاتنين؟يبقى + +481 +00:52:46,910 --> 00:52:50,950 +موجود في ال range ولا لا لإنه يبقى كتبت هذا ال + +482 +00:52:50,950 --> 00:52:56,390 +element بواسط عناصر البذل لو ما جدرتش يبقى بنقول + +483 +00:52:56,390 --> 00:53:00,930 +مش موجود طبعا هذه طريقة سهلة جدا بمجرد النظر لكن + +484 +00:53:00,930 --> 00:53:04,590 +الأصل ان اقول اتنين وخمسة وسبعة يساوي يكون اصلا في + +485 +00:53:04,590 --> 00:53:07,470 +الأول ويكون اصلا في التاني واروح احل ال non + +486 +00:53:07,470 --> 00:53:15,710 +homogeneous system تمام يبقى هذا معناه هذا يبقى + +487 +00:53:16,490 --> 00:53:26,090 +إتنين وخمسة وسبعة is a linear combination of the + +488 +00:53:26,090 --> 00:53:41,660 +elements of the basesof R of T Thus و هكذا اتنين + +489 +00:53:41,660 --> 00:53:53,540 +خمسة سبعة و عنصر موجود في R of T و هو المطلوب حد + +490 +00:53:53,540 --> 00:53:58,980 +فيكم بتحب تسأل اي سؤال هنا يا مانال؟ اي سؤال؟طب + +491 +00:53:58,980 --> 00:54:03,480 +لازلنا في نفس ال section و هناك بدل المثال اتنين + +492 +00:54:03,480 --> 00:54:07,880 +لسه كمان لإن الموضوع هذا قلتلكوا هذا ال section + +493 +00:54:07,880 --> 00:54:13,000 +بالذات very important و لازم ييجي عليه سؤال في + +494 +00:54:13,000 --> 00:54:17,720 +امتحان أعمال الفصل و كذلك النهاية وضع طبيعي لازم + +495 +00:54:17,720 --> 00:54:19,620 +يكون هذا يعطيكوا العفو + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/E3_JyQeSPp8_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/E3_JyQeSPp8_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..e5ba7cc3374726a0d462f896283e5d4e5876892f --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/E3_JyQeSPp8_postprocess.srt @@ -0,0 +1,1836 @@ +1 +00:00:20,740 --> 00:00:25,580 +بسم الله الرحمن الرحيم عودا على بدأ بجينا نتحدث + +2 +00:00:25,580 --> 00:00:29,820 +المرة اللى فاتت عن ال diagonalization ل matrix + +3 +00:00:29,820 --> 00:00:34,300 +واخدنا مجموعة من الأمثلة بدل المثال تلاتة بجينا + +4 +00:00:34,300 --> 00:00:38,400 +نجيب ال eigen values و ال eigen vectors و نثبت هل + +5 +00:00:38,400 --> 00:00:42,040 +المصفوفة اللى عندى diagonalizable ولا لأ طبعا + +6 +00:00:42,040 --> 00:00:46,280 +عرفنا انه معناه ايه similar to B معناته انه في + +7 +00:00:46,280 --> 00:00:51,970 +diagonalization لمن للمصفوفة Aالمثال الرابع بيقول + +8 +00:00:51,970 --> 00:00:56,110 +افترض المصفوفة a هي على الشكل اللي قدامنا هذا + +9 +00:00:56,110 --> 00:01:00,090 +بطالب تلت مطاليب المطلوب الأول قال لي هاتل ال + +10 +00:01:00,090 --> 00:01:05,850 +eigenvectors شغلة روتينية يا ما أوجدناها في + +11 +00:01:05,850 --> 00:01:09,370 +السيكشن هذا أو السيكشن اللي جابله أربعة واحد + +12 +00:01:09,370 --> 00:01:13,230 +المطلوب التاني بيقول find a the dimension of the + +13 +00:01:13,230 --> 00:01:18,070 +eigenvector space وبرضه أوجدناها قبل ذلكالأمر + +14 +00:01:18,070 --> 00:01:21,230 +الثالث بيقول لي هل ال matrix is similar to a + +15 +00:01:21,230 --> 00:01:25,390 +diagonal matrix ولا لأ؟ يعني ايش قصد يقول ليه؟ قال + +16 +00:01:25,390 --> 00:01:29,750 +لي هل المحصوفة is diagonalizable ولا لأ؟ هي السؤال + +17 +00:01:29,750 --> 00:01:35,710 +السؤال اللي قال لي شوف لي هل ال a is similar to a + +18 +00:01:35,710 --> 00:01:39,430 +diagonal matrix يعني كانوا بيسأل ليه هل المحصوفة + +19 +00:01:39,430 --> 00:01:44,620 +is diagonalizable ولا لأ؟بقول يفسه إن كان الأمر + +20 +00:01:44,620 --> 00:01:49,760 +كذلك find a matrix K من ال matrix K and diagonal + +21 +00:01:49,760 --> 00:01:54,040 +ال matrix D بحيث أن ال K inverse A K بده يساوي من؟ + +22 +00:01:54,040 --> 00:01:58,340 +بده يساوي دي مش هتعريف ال similar يبقى similar + +23 +00:01:58,340 --> 00:02:01,380 +والله ديagonalizeهم الإتنين are the same نفس + +24 +00:02:01,380 --> 00:02:05,660 +المفهوم بالضبط تماماطيب نجي نحل هذا السؤال يبقى + +25 +00:02:05,660 --> 00:02:09,940 +أول نقطة بدي أروح أجيب main ال eigen ال eigen + +26 +00:02:09,940 --> 00:02:13,740 +values لمين للمصوفة اللي عندنا ايه يبقى بدي أبدأ + +27 +00:02:13,740 --> 00:02:19,680 +بمين بالمعادلة الأساسية اللي هي lambda I ناقص A + +28 +00:02:19,680 --> 00:02:27,580 +تساوي I lambda 00 lambda 00 lambda بالشكل اللي + +29 +00:02:27,580 --> 00:02:34,270 +عندنا هذا تمام؟في ناقص المصفوفة ايه بنزل المصفوفة + +30 +00:02:34,270 --> 00:02:41,370 +كما هي واحد اتنين تلاتة سالب واحد اربعة تلاتة واحد + +31 +00:02:41,370 --> 00:02:48,050 +سالب اتنين سالب واحد بالشكل اللي عندنا هذا الكلام + +32 +00:02:48,050 --> 00:02:54,910 +بده يساوي لندن ناقص واحدلاندا ناقص واحد ناقص اتنين + +33 +00:02:54,910 --> 00:03:03,070 +ناقص تلاتة هنا واحد هنا لاندا ناقص اربع وهنا ناقص + +34 +00:03:03,070 --> 00:03:10,790 +تلاتة وهنا ناقص واحد وهنا اتنين وهنا لاندا زائد + +35 +00:03:10,790 --> 00:03:15,290 +واحد بالشكل اللي عندنا هذابعد ذلك لكي احصل على الـ + +36 +00:03:15,290 --> 00:03:20,930 +eigenvalues انا باخد المحدد لهذه المصفوفة اذا انا + +37 +00:03:20,930 --> 00:03:28,550 +باخد ال determinant لمين للاندا I ناقص ال A وهو + +38 +00:03:28,550 --> 00:03:35,530 +المحدد لاندا minus one سالب اتنين سالب ثلاث وهنا + +39 +00:03:35,530 --> 00:03:40,650 +one وهنا لاندا minus four وهنا minus three minus + +40 +00:03:40,650 --> 00:03:49,350 +oneto lambda plus one هذا المحدد بدي احسب قيمة هذا + +41 +00:03:49,350 --> 00:03:53,950 +المحدد يبقى بدي افك المحدد اللي عندنا باستخدام + +42 +00:03:53,950 --> 00:03:59,890 +مثلا عناصر الصف الأول يبقى باجي بقول هذا الكلام + +43 +00:03:59,890 --> 00:04:07,040 +بدي يسوى lambda minus oneيبقى لاندا minus one في + +44 +00:04:07,040 --> 00:04:14,200 +المحدد الأصغر المناظر له اللاندا minus four مضروبة + +45 +00:04:14,200 --> 00:04:20,400 +في لاندا plus one minus مع minus بصير زائد ستة + +46 +00:04:21,170 --> 00:04:25,650 +العنصر اللي بعده حسب قطع الإشارات شرطه موجبة يبقى + +47 +00:04:25,650 --> 00:04:32,590 +زائد اتنين في نشطه بصفه و عموده يبقى لاندا plus + +48 +00:04:32,590 --> 00:04:38,910 +one minus three يبقى لاندا plus one minus three + +49 +00:04:38,910 --> 00:04:44,830 +اللي بعده minus three فيه نشطه بصفه و عموده يبقى + +50 +00:04:44,830 --> 00:04:50,590 +اتنين minus مع minus بصير زائد لاندا minus four + +51 +00:04:50,920 --> 00:04:56,460 +بالشكل اللي عندنا هذا يبقى هذا لو جيته اختصرته بده + +52 +00:04:56,460 --> 00:05:01,520 +يصير كتالي لاندا minus one هذا بده يفكه يا بناتي + +53 +00:05:01,520 --> 00:05:09,300 +يبقى لاندا تربيع ناقص تلاتة لاندا وهنا زائد اتنين + +54 +00:05:09,940 --> 00:05:15,480 +اللي بعده زائد اتنين في لاندا ماينوس اتنين اللي + +55 +00:05:15,480 --> 00:05:20,360 +بعده ناقص ثلاثة في لاندا ماينوس اتنين كل هذا + +56 +00:05:20,360 --> 00:05:25,460 +الكلام بدى يساوي جداش بدى يساوي Zero او ممكن اقول + +57 +00:05:25,460 --> 00:05:30,410 +هذا الكلام لاندا ماينوس ال oneهذه المناطق بقدر + +58 +00:05:30,410 --> 00:05:37,330 +أحللها، اللي هو مين؟ لاندا جوز و جوز تاني لاندا + +59 +00:05:37,330 --> 00:05:42,570 +وهي الجوز، هنا بقدر أقول واحد و هنا بقدر أقول + +60 +00:05:42,570 --> 00:05:49,530 +اتنينيبقى هذه بالناقص وهذه بالنقص هذا ال term + +61 +00:05:49,530 --> 00:05:54,370 +الأول طلعيلي لل term هذا هذا ال term اتنين بالموجب + +62 +00:05:54,370 --> 00:05:58,910 +و تلاتة بالسلب لنفس المقدار يبقى وفضل term واحد + +63 +00:05:58,910 --> 00:06:06,150 +بمين بالموجب يبقى هذا الكلام زائد lambda minus + +64 +00:06:06,150 --> 00:06:12,210 +اتنين فقط لا غير ناقص lambda ناقص اتنين وين هنا؟ + +65 +00:06:13,530 --> 00:06:23,490 +هذه نقص + +66 +00:06:23,490 --> 00:06:29,830 +واحد يعني واحد اه حاطين سالب اه هذه بالسالب الصحية + +67 +00:06:30,540 --> 00:06:36,220 +100% أصابة امرأة وأختها عمر هذا الكلام يبدو يساوي + +68 +00:06:36,220 --> 00:06:43,160 +اللي هو لاندا minus two عامل مشترك من الكل بيظل + +69 +00:06:43,160 --> 00:06:50,900 +مين هنا هنا بيظل لاندا ناقص واحد الكل تاربيعنقص + +70 +00:06:50,900 --> 00:06:55,860 +واحد بالشكل لأن هذا بدي ساوي 100 بدي ساوي 0 او + +71 +00:06:55,860 --> 00:07:01,140 +بقدر اقول لاندا ماينوس تو فيه بدي افك الجثة دايما + +72 +00:07:01,140 --> 00:07:07,420 +بصير لاندا تربيع نقص اتنين لاندا وزايد واحد ونقص + +73 +00:07:07,420 --> 00:07:13,280 +واحد مع السلامةإذا ممكن أخد لاندا عامل مشترك من + +74 +00:07:13,280 --> 00:07:20,540 +هذا الجوس الثاني يبقى لاندا minus two في لاندا في + +75 +00:07:20,540 --> 00:07:26,080 +لاندا minus two بده يساوي zero يبقى لاندا في لاندا + +76 +00:07:26,080 --> 00:07:30,780 +minus two لكل تربية بده يساوي جداش بده يساوي zero + +77 +00:07:31,450 --> 00:07:37,290 +إذا طلع عندي قيمتين فقط للاندا وليس ثلاث قيم وطلع + +78 +00:07:37,290 --> 00:07:44,110 +القيمتين والقيمتين متساويات أو اللاندا طلعت مكررة + +79 +00:07:44,110 --> 00:07:52,010 +يبقى بناء ان علي بروح بقوله هنا the eigenvalues + +80 +00:07:52,010 --> 00:07:59,880 +areاللي هو lambda تساوي zero و lambda تساوي اتنين + +81 +00:07:59,880 --> 00:08:06,300 +فقط لا غير و هذه ال lambda مكررة كدهش مرتين يبقى و + +82 +00:08:06,300 --> 00:08:11,980 +بقول of multiplicity two يعني مكررة مرتين او بقدر + +83 +00:08:11,980 --> 00:08:16,220 +اقول lambda اتنين تساوي اتنين و lambda تلاتة تساوي + +84 +00:08:16,220 --> 00:08:23,140 +اتنين يبقى هذه lambda تساوي اتنين is of multi + +85 +00:08:28,120 --> 00:08:32,700 +Lambda تساوي اتنين مكررة مرتين إذا انتهينا من + +86 +00:08:32,700 --> 00:08:36,480 +المطلوب الأول اللي قال لي عنه من عند ما بدأنا هنا + +87 +00:08:36,480 --> 00:08:40,140 +و كل و احنا بنحاول نحصل على المطلوب الأول اللي هو + +88 +00:08:40,140 --> 00:08:44,320 +ال eigen values قال لي بعد هيك اتهتلي ال dimension + +89 +00:08:44,320 --> 00:08:49,900 +لمن؟ ل ال eigen vector spaces يبقى بدأ أخد lambda + +90 +00:08:49,900 --> 00:08:52,660 +تساوي زيرو بعد هيك lambda تساوي اتنين و أشوف إيش + +91 +00:08:52,660 --> 00:08:59,700 +اللي بيحصل معانايبقى باجي بقوله هنا if لاندا تساوي + +92 +00:08:59,700 --> 00:09:05,160 +zero then بدي أخد لاندا الأولى بدي أرجع لمين + +93 +00:09:05,160 --> 00:09:10,440 +للمعادلة الأصلية اللي عندنا هذه تمام و بدي أخد + +94 +00:09:10,440 --> 00:09:17,120 +المعادلة كثيرة then لاندا I نقص ال A في ال X يساوي + +95 +00:09:17,120 --> 00:09:22,020 +Zero implies هي المصممة بدي أشيل لاندا و أحط + +96 +00:09:22,020 --> 00:09:28,070 +مكانها Zeroبظلنا ناقص واحد ناقص اتنين ناقص ثلاثة + +97 +00:09:28,070 --> 00:09:34,850 +واحد ناقص اربعة وهنا ناقص ثلاثة وهنا ناقص واحد + +98 +00:09:34,850 --> 00:09:40,730 +اتنين وهنا واحد بالشكل اللي عندنا هذا X واحد X + +99 +00:09:40,730 --> 00:09:46,610 +اتنين X تلاتة هذا الكلام بده يساوي Zero و Zero و + +100 +00:09:46,610 --> 00:09:52,780 +Zeroإذا ترجمتي المعادلة اللي عندنا هذه عامليا + +101 +00:09:52,780 --> 00:09:58,140 +بالقيم اللي موجودة عندنا نحاول نجيب قيم كلها من X1 + +102 +00:09:58,140 --> 00:10:04,980 +و X2 و X3 لإن هذه ال X بتجيب لمين ال Eigen vectors + +103 +00:10:05,520 --> 00:10:10,720 +إذا بدي أجهزي و أقول بدي أعطي المعادلة دُغري يبقاش + +104 +00:10:10,720 --> 00:10:19,060 +بصير انا لابنت هنا ناقص X1 ناقص 2 X2 ناقص 3 X3 بده + +105 +00:10:19,060 --> 00:10:29,280 +يساوي 0 وهنا X1 ناقص 4 X2 ناقص 3 X3 بده يساوي كمان + +106 +00:10:29,280 --> 00:10:37,590 +100 بده يساوي 0 ناقص X1وهنا زائد اتنين X2 وهنا + +107 +00:10:37,590 --> 00:10:42,830 +زائد X3 يسوى Zero يبقى حصلنا على ال homogenous + +108 +00:10:42,830 --> 00:10:46,870 +system اللي عندنا بنحاول نحل ال homogenous system + +109 +00:10:46,870 --> 00:10:52,870 +بأي طريقة من الطرق التي سبقت دراستهافمثلًا لو جيت + +110 +00:10:52,870 --> 00:10:57,370 +أخدت المعادلة الأولى والتانية هذه يا بنات وجيت + +111 +00:10:57,370 --> 00:11:02,750 +جماعة طبعًا هتروح هذه مع هذه مظبوط؟ بضع أننا ناقص + +112 +00:11:02,750 --> 00:11:11,540 +6x2 وناقص 6x3 بدل سوى قداش؟ Zeroأو لو جسمت على + +113 +00:11:11,540 --> 00:11:18,080 +سالب ستة بصير X2 زائد X3 يساوي Zero أو بقدر أقول + +114 +00:11:18,080 --> 00:11:25,540 +ان X2 يساوي سالب X3 هذا لما أخد الأولى مع مين؟ مع + +115 +00:11:25,540 --> 00:11:32,230 +الثانية طب لو أخدت التانية مع مين؟ مع التالتةهذه + +116 +00:11:32,230 --> 00:11:37,830 +خد مع هذه أو أخد الأولى مع التالتة مثلا لو أخدت + +117 +00:11:37,830 --> 00:11:43,170 +الأولى مع التالتة يبقى الأولى ناقص x واحد ناقص + +118 +00:11:43,170 --> 00:11:48,470 +اتنين x اتنين ناقص تلاتة x تلاتة بدى يساوي zero + +119 +00:11:48,470 --> 00:11:55,370 +وهنا سالب x واحد اتنين x اتنين زائد x تلاتة بدى + +120 +00:11:55,370 --> 00:12:00,490 +يساوي zero طبعا هذه هتروح مع هذه بظل هنا mainاللي + +121 +00:12:00,490 --> 00:12:08,410 +هو من سالب اتنين X1 و هنا سالب اتنين X3 بده يسوي + +122 +00:12:08,410 --> 00:12:15,650 +Zero يبقى X1 زائد X3 بده يسوي Zero يبقى X1 يسوي + +123 +00:12:15,650 --> 00:12:23,510 +سالب X3 يبقى بناء عليه أصبح عندي X1 بده يسوي X2 + +124 +00:12:23,510 --> 00:12:34,890 +بده يسوي X3 إذا لو أخدتإن ال X3 بدها تساوي .. لو + +125 +00:12:34,890 --> 00:12:46,170 +أخدت ال X3 مثلا تساوي A أو أخدت X1 تساوي X2 تساوي + +126 +00:12:46,170 --> 00:12:46,670 +A + +127 +00:12:50,670 --> 00:12:56,790 +ثم سالب اكس ثري تساوي ايه؟ هذا يعطيك ان اكس ثري + +128 +00:12:56,790 --> 00:13:03,570 +يساوي قداش سالب ايه؟ يبقى باجي بقوله the eigen + +129 +00:13:03,570 --> 00:13:14,010 +vectors corresponding to + +130 +00:13:14,010 --> 00:13:22,650 +the lambda تساوي zero are inThe form على الشكل + +131 +00:13:22,650 --> 00:13:28,490 +التالي X1 + +132 +00:13:28,490 --> 00:13:38,950 +X2 X3 X1 + +133 +00:13:38,950 --> 00:13:41,850 +X2 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 X3 + +134 +00:13:41,850 --> 00:13:45,530 +X3 X3 X3 X3 X3 X3 X3طب ايش بيقوللي قاللي هتلت + +135 +00:13:45,530 --> 00:13:51,890 +dimension لل eigen vector space يبقى هذا ال vector + +136 +00:13:51,890 --> 00:13:54,990 +اللي + +137 +00:13:54,990 --> 00:14:05,670 +هو من واحد واحد سالب واحد is a basis for the eigen + +138 +00:14:05,670 --> 00:14:10,310 +vector space + +139 +00:14:11,660 --> 00:14:19,860 +يبقى هذا بدّي يعطينا مين؟ انه its dimension اللي + +140 +00:14:19,860 --> 00:14:23,020 +بدّويا كده؟ واحدة + +141 +00:14:26,410 --> 00:14:31,950 +يبقى أنا جبت له ال A و ال B مرة واحدة تمام طيب قال + +142 +00:14:31,950 --> 00:14:35,850 +لي is the matrix A similar يبقى استنى شوية لبسها + +143 +00:14:35,850 --> 00:14:39,330 +سيه فيها كلام تاني بعد هيك بدى أروح أجيب لاندا + +144 +00:14:39,330 --> 00:14:49,070 +تساوي اتنين يبقى F لاندا تساوي اتنين then لاندا I + +145 +00:14:49,070 --> 00:14:56,540 +ناقص A في ال X بدها تساوي Zero impliesعن طريق + +146 +00:14:56,540 --> 00:15:00,260 +المصوفة اللي عندنا هذه بدي اشيل كلان ده و احط مكان + +147 +00:15:00,260 --> 00:15:05,940 +اقدر اش اتنين اتنين ناقص واحد بدل ان اقدر اش واحد + +148 +00:15:05,940 --> 00:15:12,880 +وعندنا هنا ناقص اتنين ناقص تلاتة الصف التاني واحد + +149 +00:15:12,880 --> 00:15:19,620 +و هنا ناقص اتنين و هنا ناقص تلاتةصفة تالت ناقص + +150 +00:15:19,620 --> 00:15:26,460 +واحد اتنين وهنا بدنا نحط اتنين بيصير تلاتة في X + +151 +00:15:26,460 --> 00:15:33,640 +واحد X اتنين X تلاتة بده يساوي Zero و Zero و Zero + +152 +00:15:35,940 --> 00:15:41,500 +هذه المعادلة تجيب لي ثلاث معادلات لكن في الحقيقة + +153 +00:15:41,500 --> 00:15:47,620 +هما ثلاث معادلات ولا تنتين ولا معادلة واحدة يبقى + +154 +00:15:47,620 --> 00:15:53,240 +هذه المعادلة واحدة فقط لا غيرالصف هذا لو ضربت في + +155 +00:15:53,240 --> 00:15:57,980 +سالب واحد بيطلع الصفين اللي فوق تمام يبقى هذه مش + +156 +00:15:57,980 --> 00:16:02,280 +معادلة واحدة وانما او الثلاث معادلات عبارة عن + +157 +00:16:02,280 --> 00:16:07,680 +معادلة واحدة فقط لا غير يبقى معناه هذا الكلام ان X + +158 +00:16:07,680 --> 00:16:14,000 +واحد ناقص اتنين X اتنين ناقص تلاتة X تلاتة بيساوي + +159 +00:16:14,000 --> 00:16:22,030 +قدر Zero او ان شئتم فقولوا ان X واحديساوي 2 X2 + +160 +00:16:22,030 --> 00:16:29,970 +زائد 3 X3 يبقى هذه المعادلة مجهولة بثلاثة مجهول + +161 +00:16:29,970 --> 00:16:35,710 +إذا لا يمكن حل هذه المعادلة إلا إذا أعطينا قيمتين + +162 +00:16:35,710 --> 00:16:45,690 +لمجهولين يبقى ممكن أحط مثلا X2 بA و X3 بB وبالتالي + +163 +00:16:45,690 --> 00:16:53,400 +بجيب X1بتلات X2 و X3 يبقى if ال X2 بده يساوي ال A + +164 +00:16:53,400 --> 00:17:03,580 +and X3 بده يساوي ال B then ال X1 بده يساوي 2A زائد + +165 +00:17:03,580 --> 00:17:09,080 +3B أظن هذا كله مالش لزومة الحين + +166 +00:17:25,020 --> 00:17:34,100 +طيب بنواصل الحلل، الآن باجي بقول the eigenvectors + +167 +00:17:34,100 --> 00:17:40,500 +corresponding to + +168 +00:17:40,500 --> 00:17:51,440 +land تساوي اتنين are in the form في الشكل التالي + +169 +00:17:55,340 --> 00:18:04,820 +X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 + +170 +00:18:04,820 --> 00:18:05,960 +X11 X12 X13 X12 X13 X12 X12 X12 X12 X12 X12 X12 + +171 +00:18:05,960 --> 00:18:06,060 +X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 + +172 +00:18:06,060 --> 00:18:06,100 +X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 + +173 +00:18:06,100 --> 00:18:06,140 +X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 + +174 +00:18:06,140 --> 00:18:06,160 +X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 + +175 +00:18:06,160 --> 00:18:06,180 +X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 X12 + +176 +00:18:06,180 --> 00:18:07,880 +X12 X12 X12 X12 X12 X12 + +177 +00:18:11,270 --> 00:18:16,110 +بقدر هذه المصوفة يا بنات اقسمها الى مجموعة مصففين + +178 +00:18:16,110 --> 00:18:23,190 +يبقى بقدر اقول هذا الكلام يساوي اتنين A A Zero + +179 +00:18:23,190 --> 00:18:31,910 +زائد تلاتة B Zero B او ان شئتم فقولوا هي ال A برا + +180 +00:18:31,910 --> 00:18:40,510 +و هنا اتنين واحد Zero زائد B في تلاتة Zero واحد + +181 +00:18:43,330 --> 00:18:48,050 +أريد أن أرى قيمة الـBases للـVector Space المولد + +182 +00:18:48,050 --> 00:18:51,850 +بالـTwo Vectors بإذن الله أخرج في الاتنين هل هما + +183 +00:18:51,850 --> 00:18:56,470 +Linearly Dependent و لا Linearly Independent إذا + +184 +00:18:56,470 --> 00:19:00,910 +كانوا Linearly Dependent يكفي واحد منهم وإذا كانوا + +185 +00:19:00,910 --> 00:19:05,770 +اتنين Linearly Independent يبقى بصير الـBases في + +186 +00:19:05,770 --> 00:19:11,230 +عنصرين وبالتالي الـDimension يساوي اتنين أخرجني في + +187 +00:19:11,230 --> 00:19:16,500 +الاتنين هؤلاءعمر واحد فيهم بيصير مضاعفات الآخر + +188 +00:19:16,500 --> 00:19:24,280 +مافيش إمكانية على الإطلاق يبقى باجي بقول since the + +189 +00:19:24,280 --> 00:19:36,660 +two vectors اللي هم اتنين واحد زيرو وتلاتة + +190 +00:19:36,660 --> 00:19:46,740 +زيرو واحد are linearly independentbecause anyone + +191 +00:19:46,740 --> 00:20:06,640 +is not multiple of the other we have انه ده set + +192 +00:20:06,640 --> 00:20:16,380 +اللي هي mainاتنين واحد وزيرو والعنصر التاني تلاتة + +193 +00:20:16,380 --> 00:20:35,940 +زيرو واحد is a basis for the eigen vector space + +194 +00:20:35,940 --> 00:20:38,360 +corresponding + +195 +00:20:43,870 --> 00:20:53,750 +تو لاندا تو ساوة اتنين اذا انتهينا من نمر بي و لا + +196 +00:20:53,750 --> 00:21:01,290 +مانتهيناش بدنا ال dimension يبقى هنا هدول يبقى as + +197 +00:21:01,290 --> 00:21:07,450 +a basis for the corresponding to لاندا تو and its + +198 +00:21:07,450 --> 00:21:09,390 +dimension + +199 +00:21:13,670 --> 00:21:20,990 +is two يبقى ال dimension يساوي كده؟ يساوي اتنين + +200 +00:21:20,990 --> 00:21:26,410 +يبقى انتهينا من المطلوب A وB ضايل عندنا مين؟ ضايل + +201 +00:21:26,410 --> 00:21:31,910 +عندنا C C بيقول مانو؟ بيقول هل ال matrix A similar + +202 +00:21:31,910 --> 00:21:37,350 +to A diagonal matrix ام لا؟ بمعنى اخر هل ال A + +203 +00:21:37,350 --> 00:21:43,570 +دياجونالي Z بالو ولا لا؟ شفوي بمجرد النظرالحين + +204 +00:21:43,570 --> 00:21:48,090 +طلعنا مين؟ قداش الـ linearly independent element + +205 +00:21:48,090 --> 00:21:54,490 +طيب اه استنى شوية طلعيلي الاتنين هدول واطلعيلي + +206 +00:21:54,490 --> 00:22:00,650 +لمين؟ للتالت اللي هو عندنا هذا هل التلاتة هدول are + +207 +00:22:00,650 --> 00:22:03,590 +linearly dependent ولا linearly independent؟ + +208 +00:22:03,590 --> 00:22:09,010 +بتعمليلهم ال check يبقى هنا بدك تقوليلي ما يأتي + +209 +00:22:09,010 --> 00:22:12,570 +بدك تعمليلي ال check التالي + +210 +00:22:23,900 --> 00:22:31,240 +check that vectors + +211 +00:22:31,240 --> 00:22:39,170 +اللي هم مين ال vector الأول يعنيالتي هو واحد واحد + +212 +00:22:39,170 --> 00:22:44,630 +سالب واحد والتاني اللي طالع عندنا اللي هو اتنين + +213 +00:22:44,630 --> 00:22:54,190 +واحد زيرو والتالت اللي هو من تلاتة زيرو واحد are + +214 +00:22:54,190 --> 00:23:00,150 +linearly independent كيف + +215 +00:23:00,150 --> 00:23:04,940 +بدي أسويهم linearly independentكيف بدي أعملهم بقى؟ + +216 +00:23:04,940 --> 00:23:10,480 +وكيف بدي أثبت انهم linearly independent؟ نفرض C1 + +217 +00:23:10,480 --> 00:23:15,900 +وC2 وC3 تكون أصلاً C في الأول زي C في التاني زي C + +218 +00:23:15,900 --> 00:23:20,520 +في التالي يساوي Zero وأثبت ان C1 يساوي C2 يساوي C3 + +219 +00:23:20,520 --> 00:23:25,700 +يساوي Zero هذه إحدى الطرق الطويلة في أكثر منها ايش + +220 +00:23:25,700 --> 00:23:32,810 +اللي أكثر منها؟نعمل محدد وليست مصفورة نعمل محدد + +221 +00:23:32,810 --> 00:23:38,970 +ونثبت أن المحدد لا يساوي zero انطلع ذلك يبقى بيصير + +222 +00:23:38,970 --> 00:23:42,790 +عندي linearly independent يبقى تبعت المحدد أسهل من + +223 +00:23:42,790 --> 00:23:46,290 +الأولين الأولين بدها شغل شوية لإن بدي أعمل system + +224 +00:23:46,290 --> 00:23:49,610 +و ال system بتروح علّه بس ال determinant ده سهل + +225 +00:23:49,610 --> 00:23:54,130 +جدا يعني في خطوة واحدة بكون جيبينجبت الحلقة و + +226 +00:23:54,130 --> 00:23:59,010 +أثبتت إن هدول linearly independent طيب معناته + +227 +00:23:59,010 --> 00:24:04,710 +التلاتة هدول بيكملولي من the complete set of + +228 +00:24:04,710 --> 00:24:08,690 +linearly independent elements صحيح ولا لأ؟ يعني في + +229 +00:24:08,690 --> 00:24:14,810 +غيرهم؟ مافيش عندي غيرهم، قداش عددهم؟ قداش نظام + +230 +00:24:14,810 --> 00:24:20,800 +الوصوفة؟يبقى ياش المصحوفة diagonalizable اصلا عن + +231 +00:24:20,800 --> 00:24:25,780 +اللي مرضى او similar to a diagonal matrix الصيغة + +232 +00:24:25,780 --> 00:24:29,540 +هذه والصيغة هذه الاتنين are the same يبقى باجي + +233 +00:24:29,540 --> 00:24:34,860 +بقول هدول كولوني linearly independent element this + +234 +00:24:34,860 --> 00:24:46,690 +means that the setالي هي مين؟ واحد واحد سالب واحد + +235 +00:24:46,690 --> 00:24:57,570 +اتنين واحد زيرو تلاتة زيرو واحد is the complete + +236 +00:24:57,570 --> 00:25:05,050 +set of eigen vectors + +237 +00:25:11,120 --> 00:25:18,700 +يبقى sense بما ان number of + +238 +00:25:18,700 --> 00:25:37,640 +these vectors is three and the degree of the + +239 +00:25:38,390 --> 00:25:52,170 +ماتريكس a is a3 ال a is diagonalizable + +240 +00:25:52,170 --> 00:25:58,430 +ايش يعني diagonalizable يعني ال a is similar to a + +241 +00:25:58,430 --> 00:26:04,190 +diagonal هذا معناته ان ال a is similar + +242 +00:26:27,350 --> 00:26:35,370 +مش هذا معناه يا بنات؟طيب، بدنا نجي نشوف هالكلام + +243 +00:26:35,370 --> 00:26:41,480 +هذا اللي احنا بنقوله هذاماذا قاله؟ قال يفسه إن كان + +244 +00:26:41,480 --> 00:26:45,420 +الأمر كذا لك هاتل ال matrix K and إذا يجون ال + +245 +00:26:45,420 --> 00:26:50,620 +matrix دي فهي تبقى العلاقة هذه مالها صحيحة يبقى + +246 +00:26:50,620 --> 00:26:54,760 +احنا بدنا نجيبله K ونجيب ال K and بس الحين + +247 +00:26:54,760 --> 00:27:01,020 +الكيابانات هي من؟ هي المصفوفة العناصرها من؟ عناصر + +248 +00:27:01,020 --> 00:27:08,470 +ال eigenvectors يبقى واحد واحد سالب واحداتنين واحد + +249 +00:27:08,470 --> 00:27:16,030 +زيرو تلاتة زيرو واحد بدنا نجيب المعكوس تبعها مشان + +250 +00:27:16,030 --> 00:27:21,630 +نجيب المعكوس بدنا نروح نجيب مين المحدد يبقى هذا + +251 +00:27:21,630 --> 00:27:29,360 +بده يعطينا المحدد تبع المصوفة كذا بده يساوياللي هو + +252 +00:27:29,360 --> 00:27:35,380 +main المحدد تبع واحد اتنين تلاتة واحد واحد زيرو + +253 +00:27:35,380 --> 00:27:40,380 +سالب واحد زير واحد ويساوي + +254 +00:27:42,730 --> 00:27:47,770 +بتفكر ايش رأيكوا بالاستخدام عناصر الصف الثاني او + +255 +00:27:47,770 --> 00:27:51,550 +العمود التالت او العمود التاني سياد ناخد العمود + +256 +00:27:51,550 --> 00:27:58,930 +التالت يبقى هاي تلاتة فيه نشطة بصفه و عموده تمام + +257 +00:27:58,930 --> 00:28:04,950 +بصير واحد ناقص اتنين اللي بعده حسب قاعة الإشارات + +258 +00:28:04,950 --> 00:28:09,370 +بزيره في قد ما يكون يكون مش مشكلة زائد واحد في + +259 +00:28:09,370 --> 00:28:18,160 +قشطة بصفهلأ استنى شوية سطبنا صفه و عمضه صفه و عمضه + +260 +00:28:18,160 --> 00:28:20,460 +يجيه بجهة zero زياد واحد + +261 +00:28:22,770 --> 00:28:28,250 +زائد واحد اللي بعد واحد نشطب صف وعمود لواحد ناقص + +262 +00:28:28,250 --> 00:28:36,110 +اتنين واحد ناقص اتنين يبقى النتيجة تلاتة وهنا ناقص + +263 +00:28:36,110 --> 00:28:43,810 +واحد ويساوي كده؟ ويساوي اتنين تمامبدي أجيب له الـK + +264 +00:28:43,810 --> 00:28:50,450 +inverse يبقى الـK inverse ويو ساوي اللي هو واحد + +265 +00:28:50,450 --> 00:28:58,630 +على المحدد فاهمين؟ فيه بدي أستبدل هذه المصفوفة كل + +266 +00:28:58,630 --> 00:29:04,650 +عنصر فيها بال cofactor تبعه مظبوط؟ يبقى بدي أجيب + +267 +00:29:04,650 --> 00:29:09,810 +للواحدبدي أشيل صفه و عموده، بيظل واحد نخزنه كله + +268 +00:29:09,810 --> 00:29:16,310 +بواحد و حسب قاعة الإشارات شرطه بالموجة نجي لبعده، + +269 +00:29:16,310 --> 00:29:21,370 +لإتنين حسب قاعة الإشارات شرطه بمين؟ بالسالف نشطب + +270 +00:29:21,370 --> 00:29:29,780 +صفه و عموده، بيصير واحد فقط كذلكنجي للي بعده حسب + +271 +00:29:29,780 --> 00:29:35,800 +قاعدة شرعتي شرطه بالموجة نشطه بصفه و عموده بيصير + +272 +00:29:35,800 --> 00:29:42,380 +zero زيد واحد اللي هو بواحد بعد هيك نجي لصفه + +273 +00:29:42,380 --> 00:29:49,040 +الثاني بدي أشيل اللي صفه و عموده بيصير اتنين ناقص + +274 +00:29:49,040 --> 00:29:55,720 +تلاتة بقدرش باتنين بدي أجي لعنصر اللي بعدهطبعا هذا + +275 +00:29:55,720 --> 00:30:00,160 +حسب قاعدة الإشارة الشرط السالي بيبنى تمام اللي بقى + +276 +00:30:00,160 --> 00:30:04,820 +ده الشرط موجبه يبقى ده شيل صفه و عموده بصير واحد + +277 +00:30:04,820 --> 00:30:12,370 +ناقص ثلاثة يعني زائد تلاتة اللي بقى كدهش قلناعشان + +278 +00:30:12,370 --> 00:30:17,670 +نشيل هذا يبقى اشيلنا هذا يبقى واحد زائد تلاتة اللي + +279 +00:30:17,670 --> 00:30:22,130 +هو بقداش اربعة هذا حسب قاعد الإشارات شرط بين + +280 +00:30:22,130 --> 00:30:28,810 +بالسالم نشط بصفه و عموده يبقى zero زائدي اتنين + +281 +00:30:28,810 --> 00:30:32,950 +اللي هو بقداش بناقص اتنين نجي لبعده حسب قاعد + +282 +00:30:32,950 --> 00:30:38,050 +الإشارات شرط بالموجة اشط بصفه و عموده zero ناقص + +283 +00:30:38,050 --> 00:30:45,400 +تلاتة نجي للي بعدهاللي بعده حسب قاعدة الإشارات + +284 +00:30:45,400 --> 00:30:51,680 +شرطه سالب يبقى يسالب نشط بصفه و عموده يبقى zero + +285 +00:30:51,680 --> 00:30:57,420 +ناقص تلاتة بالصير زائد تلاتة اللي بعده حسب قاعدة + +286 +00:30:57,420 --> 00:31:01,840 +الإشارات شرطه موجبة نشط بصفه و عموده بصير واحد + +287 +00:31:01,840 --> 00:31:06,300 +ناقص اتنين اللي هو قداشر بناقص واحد بالشكل اللي + +288 +00:31:06,300 --> 00:31:15,580 +عندنا أنا بدي أجيب له D يبقى Dبدا تساوي K inverse + +289 +00:31:15,580 --> 00:31:22,780 +اي K تمام؟ يبقى هذا الكلام بده يساوي النص و هنا + +290 +00:31:22,780 --> 00:31:28,040 +واحد سالب واحد واحد سالب اتنين اربعة سالب اتنين + +291 +00:31:28,040 --> 00:31:33,480 +سالب تلاتة تلاتة سالب واحد في مين؟ في ايه؟ راس + +292 +00:31:33,480 --> 00:31:39,440 +المسألة واحد اتنين تلاتة و هنا سالب واحد اربعة + +293 +00:31:39,700 --> 00:31:47,760 +تلاتة و هنا واحد سالب اتنين سالب واحد في مين في ال + +294 +00:31:47,760 --> 00:31:54,820 +K ال K اللي هي واحد اتنين تلاتة واحد واحد زيرو + +295 +00:31:54,820 --> 00:32:01,570 +سالب واحد زيرو واحد بالشكل اللي عندنا هناكداش + +296 +00:32:01,570 --> 00:32:09,730 +تتوقع يكون النتيجة؟ Zero اتنين اتنين و الباقي يبقى + +297 +00:32:09,730 --> 00:32:16,050 +أسفل يبقى هذا يكون المصوفة القطرية التالية Zero و + +298 +00:32:16,050 --> 00:32:24,330 +هنا Zero Zero Zero اتنين Zero Zero اتنينليس لاندا + +299 +00:32:24,330 --> 00:32:27,670 +طلعت هندم Zero و لاندا طلعت هندم اتنين و اتنين + +300 +00:32:27,670 --> 00:32:32,350 +يبقى هاي عناصر قط رئيسي ال diagonal matrix اللي + +301 +00:32:32,350 --> 00:32:36,310 +يقولنا عليها ال diagonal دي يبقى براحتك تروح تضرب + +302 +00:32:36,310 --> 00:32:40,730 +هدول مصففات في بعض في بيتك و الناتج هي ماعطينك + +303 +00:32:40,730 --> 00:32:44,410 +إياه إذا طلع غلط يبقى غلط علينا مش عليك أو عليك + +304 +00:32:44,410 --> 00:32:48,630 +إذا بتضرب غلط لكن عندنا احنا ماعطينك الجواب بدك + +305 +00:32:48,630 --> 00:32:52,270 +تضربه و الناتج هيه عندك في واحدة أبناء ماسجلتش + +306 +00:32:52,270 --> 00:32:52,930 +اسمها هنا + +307 +00:32:56,050 --> 00:33:04,170 +طيب ننتقل إلى مثال يختلف عن هذا نوعا ما لكنه مرتبط + +308 +00:33:04,170 --> 00:33:11,030 +معه ارتباطا هذا المثال جبته نظري من خلال أسئلة + +309 +00:33:11,030 --> 00:33:18,830 +التمرين وهو سؤال 16 في التمرين تبع ال section 4-3 + +310 +00:33:18,830 --> 00:33:21,310 +السؤال بيقول ما يأتي + +311 +00:33:30,400 --> 00:33:39,760 +يبقى example خمسة له سؤال ستة عشر من الكتاب بيقول + +312 +00:33:39,760 --> 00:33:53,260 +if ال A and ال B are similar matrices + +313 +00:33:53,260 --> 00:34:11,520 +matrices so thatبحيث ان ال B تساوي ال K inverse اك + +314 +00:34:11,520 --> 00:34:16,420 +show + +315 +00:34:16,420 --> 00:34:20,720 +that بيّلي + +316 +00:34:20,720 --> 00:34:35,330 +ان ال X is Ais an eigen vector + +317 +00:34:35,330 --> 00:34:51,530 +of a if and only if ال K inverse X is an eigen + +318 +00:34:51,530 --> 00:34:54,730 +vector + +319 +00:34:56,190 --> 00:35:02,050 +هو ايجن فيكتر بي + +320 +00:35:41,120 --> 00:35:47,340 +سؤال مرة ثانية السؤال بيقول لو كانت ال A و ال B + +321 +00:35:47,340 --> 00:35:52,440 +are similar matrices طبعا احنا أخدنا علاقة المرة + +322 +00:35:52,440 --> 00:35:57,020 +قبل الماضي لو كان A similar to B يبقى B similar to + +323 +00:35:57,020 --> 00:36:00,980 +A و أثبتناها مظبوط يبقى الأن جلدتين هدول are + +324 +00:36:00,980 --> 00:36:08,170 +similarيعني ايه؟ يعني ان الـP بدى يسوي K inverse + +325 +00:36:08,170 --> 00:36:14,750 +AK طيب أصبحت هذه معلومة عندنا بيقول شوية بيه لإن + +326 +00:36:14,750 --> 00:36:19,790 +ال X is an eigen value ل A إيه فندقول إذا K + +327 +00:36:19,790 --> 00:36:25,730 +inverse X is an eigen vector ل A إيه فندقول إذا K + +328 +00:36:25,730 --> 00:36:30,450 +inverse X is an eigen vector لمين لبين يبقى هذا + +329 +00:36:30,450 --> 00:36:34,960 +سؤال والله سؤالينسؤالين بدى امشك واحد واصله لمين + +330 +00:36:34,960 --> 00:36:39,240 +للثانى و بعدين امشك الثانى واصله لمين للأول السبب + +331 +00:36:39,240 --> 00:36:44,560 +كلمة if and only if ده يبقى الآن بداجي بالخطوة + +332 +00:36:44,560 --> 00:36:58,390 +الأولى let ال a be similar to b thenThere exists a + +333 +00:36:58,390 --> 00:37:11,750 +non-zero matrix K such that بحيث أن الـ B بده + +334 +00:37:11,750 --> 00:37:20,410 +يساوي الـ K inverse AK المعطىيبقى حتى لان انا بس + +335 +00:37:20,410 --> 00:37:27,450 +اتجمد الشي المقطع عندي خطوة تانية بدي افترض ان X + +336 +00:37:27,450 --> 00:37:33,910 +عبارة عن مين عن Eigen vector لمن للمصفوف A يبقى ا + +337 +00:37:33,910 --> 00:37:43,590 +assume that ان X is an Eigen vector + +338 +00:37:47,640 --> 00:38:00,920 +for the matrix for the matrix A then ايش فرضنا ان + +339 +00:38:00,920 --> 00:38:08,220 +ال X هي eigen vector لمين لهذه ايش يعني معناها ايش + +340 +00:38:08,220 --> 00:38:12,800 +يعني معناها ان ال X هي eigen vector ل A يعني لو + +341 +00:38:12,800 --> 00:38:15,240 +ضربت ال A في ال X ايش بدي يطلع ليه + +342 +00:38:19,660 --> 00:38:24,580 +تعريف الـ eigen vector و ال eigen value شبتر + +343 +00:38:24,580 --> 00:38:32,700 +section 4-1 أول تعريف أخدناه إيش يعني؟ يعني هلاجي + +344 +00:38:32,700 --> 00:38:38,360 +عدد الـ scalar لأن ده مضروف x بدي يسوي x الشركة + +345 +00:38:38,360 --> 00:38:43,690 +أخدنا التعريف؟يبقى هذا معناه x is an eigen value + +346 +00:38:43,690 --> 00:38:56,190 +then ال ax بده ساوي lambda x for some real lambda + +347 +00:38:56,190 --> 00:38:58,770 +اللي موجودة في ال 6 real number + +348 +00:39:01,740 --> 00:39:05,920 +يبقى هلاقي مادام هذا eigenvector هو بيجيش ال + +349 +00:39:05,920 --> 00:39:09,340 +eigenvector إلا إذا كان عندي eigenvalue صحيح ولا + +350 +00:39:09,340 --> 00:39:12,800 +لأ طيب مادام عندي eigenvalue مادام عندي + +351 +00:39:12,800 --> 00:39:15,380 +eigenvector إيه اللي هو اصلي اللي هو ال eigenvalue + +352 +00:39:15,380 --> 00:39:22,120 +اللي هو lambda X مش lambda I lambda X بالشكل اللي + +353 +00:39:22,120 --> 00:39:26,460 +عندنايبقى ال AX بديه يسوي مين؟ بديه يسوي لاندا X + +354 +00:39:26,460 --> 00:39:32,880 +for some real اللي هو لاندا أو for some بلاش كلمة + +355 +00:39:32,880 --> 00:39:38,540 +real لأنهم كرروا مرتين بالصريحة X for some لاندا + +356 +00:39:38,540 --> 00:39:44,280 +اللي موجودة في ال set of real numbersيبقى هذه + +357 +00:39:44,280 --> 00:39:49,460 +المعلومة أخدتها من الفرض طب بدي أشوف إيش اللي بدي + +358 +00:39:49,460 --> 00:39:54,140 +إياه إيش بيقوللي بيقوللي أثبتلي إن هذا هو + +359 +00:39:54,140 --> 00:40:00,760 +eigenvector لمام ل B يعني بدي أثبت إن حصل ضرب هذا + +360 +00:40:00,760 --> 00:40:07,540 +في B بدي أساوي scalar في ال X صحيح ولا لأ طيب + +361 +00:40:07,540 --> 00:40:09,880 +بداجي أقوله الآن consider + +362 +00:40:13,970 --> 00:40:19,370 +خُد لي بدي أثبت إن هذا is an eigenvector يبقى بدي + +363 +00:40:19,370 --> 00:40:25,110 +أخد لمين لي بيه يبقى بدي أخد بيه في مين في ال K + +364 +00:40:25,110 --> 00:40:26,670 +inverse X + +365 +00:40:30,270 --> 00:40:36,190 +هه مش هذه هنا ax بدي اثبت ان ال b في ال k inverse + +366 +00:40:36,190 --> 00:40:42,510 +x بده يساوي الرقم مضروب في x انطلع هذا الرقم بصير + +367 +00:40:42,510 --> 00:40:47,750 +هذا هو eigen vector صحيح ولا لأ طيب ماشي الحال + +368 +00:40:47,750 --> 00:40:53,970 +يبقى باجي اقول هذا الكلام بده يساوي طلعيلي هنا هذه + +369 +00:40:55,360 --> 00:41:01,500 +أنا عند مين؟ عند بي بده تساوي K inverse AK إذا + +370 +00:41:01,500 --> 00:41:08,500 +بقدر أشيل ال B و أكتب بدلها K inverse AK يبقى بقدر + +371 +00:41:08,500 --> 00:41:17,360 +أقول هذا الكلام بده يساوي K inverse AK الشكل اللي + +372 +00:41:17,360 --> 00:41:22,480 +عندنا هنا كله مضروب في مين؟ في ال K inverse X + +373 +00:41:22,480 --> 00:41:28,940 +الشكل اللي عندنا هناخاصية ال associative صحيحة على + +374 +00:41:28,940 --> 00:41:35,300 +من؟ على المصفوفات و دول كلهم مصفوفات ال X و ال A و + +375 +00:41:35,300 --> 00:41:39,980 +ال K و ال K inverse كلهم مصفوفات اذا بقدر اقول هذا + +376 +00:41:39,980 --> 00:41:49,460 +الكلام K inverse A و هنا K في ال K inverse في مين؟ + +377 +00:41:49,460 --> 00:41:57,970 +في ال Xكيف الكي انفرس بمين؟ بال identity ال + +378 +00:41:57,970 --> 00:42:05,330 +identity matrix نفس ال matrix يبقى هذا بده يعطينا + +379 +00:42:05,330 --> 00:42:14,090 +ان ك انفرس اكس كيف؟ + +380 +00:42:15,500 --> 00:42:20,800 +هالحين بده اجيل ال AX ال AX هي هم اعطاها بقدر + +381 +00:42:20,800 --> 00:42:25,700 +اشيلها و احط مكانها مالها لاندا X يبقى هذا الكلام + +382 +00:42:25,700 --> 00:42:31,000 +بده يساوي AX + +383 +00:42:31,000 --> 00:42:36,640 +بده يساوي K inverse زي ما هي وهذه بده اشيلها و + +384 +00:42:36,640 --> 00:42:44,400 +اكتب بدالها لاندا X لاندا scalar والله matrixيبقى + +385 +00:42:44,400 --> 00:42:48,220 +بقدر أطلعه برا، مالهوش دعوة، صحيح ولا لأ؟ إذا هذا + +386 +00:42:48,220 --> 00:42:56,190 +الكلام بده يساوي lambda برا في K inverse Xطلعلي + +387 +00:42:56,190 --> 00:43:01,730 +بيش بدأت بدأت بمصفوفة في مصفوفة تانية لجيتها + +388 +00:43:01,730 --> 00:43:06,330 +scalar في نفس المصفوفة اللي عندنا هذا ايش معناه مش + +389 +00:43:06,330 --> 00:43:11,190 +هي هذه المعادلة اللي عندنا زي هذه بالضبط تماما + +390 +00:43:11,190 --> 00:43:16,790 +يبقى هذا معناته ايه ايش انه k inverse x is an + +391 +00:43:16,790 --> 00:43:22,280 +eigen vector ايش هو قال اللي هناهذا هو eigenvector + +392 +00:43:22,280 --> 00:43:32,220 +لمن؟ ل B يبقى هذا معناه ان ال K inverse X is an + +393 +00:43:32,220 --> 00:43:37,480 +eigenvector + +394 +00:43:37,480 --> 00:43:50,210 +for the matrix Bخلصنا لاتجاه الأول لاتجاه + +395 +00:43:50,210 --> 00:43:55,730 +الثاني المعاكس conversely + +396 +00:43:55,730 --> 00:44:02,590 +ايش يعني conversely assume that + +397 +00:44:02,590 --> 00:44:13,490 +افرض ان ال K inverse X is an eigen value + +398 +00:44:14,320 --> 00:44:23,160 +for the matrix B + +399 +00:44:23,160 --> 00:44:39,120 +بدا اترجم هذا عمليا then there exist a number سميه + +400 +00:44:39,120 --> 00:44:45,140 +لندن وان علشان نميزه على الاول لندن وان مثلاالرقم + +401 +00:44:45,140 --> 00:44:48,780 +اللي بدكيه يسمى alpha أي رقم اللي بدكيه يسمى + +402 +00:44:48,780 --> 00:44:51,780 +النامبر الواحد في الست الواحد في الست الواحد في + +403 +00:44:51,780 --> 00:44:52,760 +الست الواحد في الست الواحد في الست الواحد في الست + +404 +00:44:52,760 --> 00:44:53,860 +الواحد في الست الواحد في الست الواحد في الست + +405 +00:44:53,860 --> 00:44:57,280 +الواحد في الست الواحد في الست الواحد في الست + +406 +00:44:57,280 --> 00:44:58,160 +الواحد في الست الواحد في الست الواحد في الست + +407 +00:44:58,160 --> 00:44:58,180 +الواحد في الست الواحد في الست الواحد في الست + +408 +00:44:58,180 --> 00:44:58,600 +الواحد في الست الواحد في الست الواحد في الست + +409 +00:44:58,600 --> 00:45:01,940 +الواحد في الست الواحد في الست الواحد في الست + +410 +00:45:01,940 --> 00:45:13,000 +الواحد في الست الواحد في الستفي ال K inverse X بده + +411 +00:45:13,000 --> 00:45:21,490 +يساوي Lambda 1 بال X هاي طبقت التعريفاللي أنا إيش + +412 +00:45:21,490 --> 00:45:27,710 +بقوله هو بقولي أثبت إنه X هو Eigen vector لمن؟ + +413 +00:45:27,710 --> 00:45:34,330 +للمصوفة A يعني بده أروح أثبت إنه AX بده يساوي + +414 +00:45:34,330 --> 00:45:41,390 +scalar في من؟ في X إذا مداجي أقوله consider خدلي + +415 +00:45:41,390 --> 00:45:47,250 +ال A في ال X طيب + +416 +00:45:48,040 --> 00:45:52,180 +بدأ أجي لمن؟ لي معلومة عندي، هي المعلومة عندي هي + +417 +00:45:52,180 --> 00:45:59,620 +هذه أو هذه بقدر أجيب ال a بدلالة ال b و ال k و ال + +418 +00:45:59,620 --> 00:46:11,240 +k inverse بقوله خليلي هذه since بما أن ال b بده + +419 +00:46:11,240 --> 00:46:20,220 +تساوي ال k inverse a k we haveبتخلّي A لحالها يا + +420 +00:46:20,220 --> 00:46:26,100 +بنات يبقى بدي أضرم من جهة الشمال في مين؟ في K وهنا + +421 +00:46:26,100 --> 00:46:31,720 +بيه ومن جهة اليمين في مين؟ في ال K inverse بدي + +422 +00:46:31,720 --> 00:46:39,880 +أساوي مين؟ بدي أساوي المصفوفة A كويس then بدي أخد + +423 +00:46:39,880 --> 00:46:49,800 +ال X يساوي ال A بدي أشيلها و أكتب بدالها Kبك انفرس + +424 +00:46:49,800 --> 00:46:58,230 +وهنا هي ال Xهي اخدته شيلت ال a و حطيت قيمتها تمام + +425 +00:46:58,230 --> 00:47:05,390 +طيب انا عندي بي كي انفرس اكس هذه موجودة بقدر + +426 +00:47:05,390 --> 00:47:09,870 +اشيلها و اكتبها لقداش لاندا وان اكس يبقى هذا + +427 +00:47:09,870 --> 00:47:17,870 +الكلام بده يساوي كي لحالها و هنا بي كي انفرس اكس و + +428 +00:47:17,870 --> 00:47:25,270 +يساوي كي فيالـ BK inverse X بدي اشيل و اكتب بدالها + +429 +00:47:25,270 --> 00:47:27,510 +Landau 1 X + +430 +00:47:30,890 --> 00:47:37,090 +طيب لن دا ون هذا بقدر اطلع وين؟ اطلع برا إذا هذا + +431 +00:47:37,090 --> 00:47:43,410 +الكلام لأ بي اه لن دا ون اكس بي ك انفرستكس كتب لها + +432 +00:47:43,410 --> 00:47:51,630 +لن دا ون اكس طيب هذا الكلام بده يساوي طيب انا فارض + +433 +00:47:52,970 --> 00:48:00,990 +استنى شوية هى ax شيلت ال a حاطبها ك بك inverse x + +434 +00:48:00,990 --> 00:48:11,130 +مظبوط وجيت على هذه كتبت ك برا و بك inverse x مظبوط + +435 +00:48:11,130 --> 00:48:18,170 +بك inverse x هي lambda one x يبقى هذا الكلام بده + +436 +00:48:18,170 --> 00:48:33,230 +يساويلن دا ون برا في مين؟ في كي اكس تمام؟ ايوة علي + +437 +00:48:33,230 --> 00:48:37,450 +صوتك شوية هادي + +438 +00:48:37,450 --> 00:48:38,230 +بيبقى ساوي + +439 +00:48:44,890 --> 00:48:52,330 +لأ اه بده تساوي الرقم في K اه بده تساوي الرقم في K + +440 +00:48:52,330 --> 00:48:57,410 +inverse X صحيح هذه الخطأ هنا صحيح هذه يا بنات + +441 +00:48:57,410 --> 00:49:07,420 +اليولاندة في K inverse X مظبوط شو اسمك انت؟سمح + +442 +00:49:07,420 --> 00:49:12,380 +أصابة امرأة وأختها عمر على طول الخط يبقى هذه لاندا + +443 +00:49:12,380 --> 00:49:19,240 +in verse 6 إذا بدي أشيل هذه يا بنات كالتالي و أكتب + +444 +00:49:19,240 --> 00:49:24,840 +بدالها ما ياتي يبقى هاي عملت ال associativity تبع + +445 +00:49:24,840 --> 00:49:32,720 +المصففات هذا الكلام بدي أساوي كافيبك انفرست اكس + +446 +00:49:32,720 --> 00:49:42,030 +بدي اشيله و اكتب بداله لانداون ك انفرست اكسلأن + +447 +00:49:42,030 --> 00:49:46,970 +لاندا وان كونستانت بقدر أقوله شرفنا برا يبقى هاي + +448 +00:49:46,970 --> 00:49:54,070 +لاندا وان برا صار ك في ك inverse في من؟ في ال X + +449 +00:49:54,070 --> 00:50:00,690 +يبقى هذا لاندا وان هذه مصفوفة من؟ الوحدة في أي + +450 +00:50:00,690 --> 00:50:06,980 +مصفوفة تعطيني نفس المصفوفةيبقى صار عند هنا مين + +451 +00:50:06,980 --> 00:50:13,420 +ابنت ان ال ax يسوى لاندا وان x ايش معنى هذا الكلام + +452 +00:50:13,420 --> 00:50:20,500 +معناه ان ال x عبارة عن eigen vector لمن للمصفوفة a + +453 +00:50:20,500 --> 00:50:32,760 +يبقى هنا ال x is an eigen vector for the + +454 +00:50:39,610 --> 00:50:45,990 +لحد هنا stop انتهى هذا ال section وإلى يكون أرقام + +455 +00:50:45,990 --> 00:50:53,090 +المسائل يبقى exercises أربعة تلاتة المسائل التالية + +456 +00:50:53,090 --> 00:51:02,570 +من واحد إلى عشرةومن تلتاش لغاية ستاش الشكل اللي + +457 +00:51:02,570 --> 00:51:05,810 +عندنا هذا المرة جاء ان شاء الله بنبدأ في المعادلات + +458 +00:51:05,810 --> 00:51:10,470 +التفاضلية خلصنا الجبر الخط الآن بنرجع ضايل علينا + +459 +00:51:10,470 --> 00:51:13,630 +two chapters في ال ordinary differential + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HH8I6sciKRM_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HH8I6sciKRM_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..e50ffb8970dd0514a11b95a351607a7c5b47727a --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HH8I6sciKRM_postprocess.srt @@ -0,0 +1,1280 @@ +1 +00:00:20,690 --> 00:00:25,470 +بسم الله الرحمن الرحيم المرة اللي فاتت ابتدأنا ب + +2 +00:00:25,470 --> 00:00:30,090 +section ال homogeneous systems وأخدنا على ذلك + +3 +00:00:30,090 --> 00:00:37,110 +مثالين وهذا هو المثال رقم تلاتة يعني + +4 +00:00:37,110 --> 00:00:40,450 +اللي قلنا المرة اللي فاتت ال homogeneous system يا + +5 +00:00:40,450 --> 00:00:44,810 +إما إله ل trivial solutionيا إما إله الـ Non + +6 +00:00:44,810 --> 00:00:48,270 +-homogeneous solutions وهذه الـ Non-homogeneous + +7 +00:00:48,270 --> 00:00:52,170 +solutions تحتوي عالميا على الـ homogeneous + +8 +00:00:52,170 --> 00:00:56,570 +solution أما حكاية إنه مافيش solution فهذا مستبعد + +9 +00:00:56,570 --> 00:01:01,850 +تماما أخذنا مثالين وهذا هو المثال الرقم تلاتة + +10 +00:01:02,300 --> 00:01:06,620 +السؤال بيقول لي for what values of A ما هي القيم + +11 +00:01:06,620 --> 00:01:11,360 +اللي بياخدها ثابت A بحيث ان ال system اللي عند هذا + +12 +00:01:11,360 --> 00:01:17,280 +له non trivial solution يعني له حل غير الحل الصفري + +13 +00:01:17,820 --> 00:01:21,620 +طب نجيب نقوله ال tactic نفس القصة تابعة المرة اللي + +14 +00:01:21,620 --> 00:01:26,420 +فاتت بالنسبة للمثالين السابقين يبقى بدنا نبدأ + +15 +00:01:26,420 --> 00:01:31,460 +بالمصفوفة الموسعة و نشغل عمليات الصفقة البسيطة + +16 +00:01:31,460 --> 00:01:35,240 +يبقى لو جيت للمصفوفة الموسعة هتكون على الشكل + +17 +00:01:35,240 --> 00:01:42,480 +التالي واحدأناقص اتنين زيرو صف التاني اتنين ناقص + +18 +00:01:42,480 --> 00:01:48,280 +واحد ناقص واحد زيرو صف التالت ناقص ناقص واحد وهنا + +19 +00:01:48,280 --> 00:01:54,120 +واحد وهنا زيرو بالشكل اللي عندنا هذا المصروف اللي + +20 +00:01:54,120 --> 00:01:59,440 +عندنا هذا يبدأ حاول اللي طبعا واضح ان العموق الصف + +21 +00:01:59,440 --> 00:02:03,740 +الانصر الأول هنا ال leading هو واحد يبقى جاهز لكن + +22 +00:02:03,740 --> 00:02:09,330 +العيامين ميمإيه لو بدنا نضرب و نضيف بتتعجد شوية + +23 +00:02:09,330 --> 00:02:14,930 +فإلا خاطر أبدل الصف الأول مع الصف التالت مع ضرب + +24 +00:02:14,930 --> 00:02:20,410 +الصف التالت في إشارة سالب مرة واحدة وبالتالي بخلي + +25 +00:02:20,410 --> 00:02:25,690 +ال a تحت وبالتالي بصير أسهلنا شوية يبقى بدي أعمل + +26 +00:02:25,690 --> 00:02:30,750 +ما يأتي يبقى هذا السهم يبقى بالدهجة أقوله replace + +27 +00:02:32,410 --> 00:02:41,890 +استبدل سالب R3 and R1 يبقى بدي أجي على الصف الأول + +28 +00:02:41,890 --> 00:02:45,830 +والصف التالت هذه معناته بدي أعمل عمليتين مع بعض في + +29 +00:02:45,830 --> 00:02:50,690 +انا واحد بدي أضرب الصف التالت في إشارة سالب في + +30 +00:02:50,690 --> 00:02:55,910 +إشارة سالب واحد ومن ثم أبدل مع مين مع الصف الأول + +31 +00:02:55,910 --> 00:03:00,470 +يبقى هذه بيصير المصوفة على الشكل التالي واحد + +32 +00:03:03,420 --> 00:03:11,280 +صف الثاني كما هو ماعملناهش له حاجة الصف الأول + +33 +00:03:11,280 --> 00:03:17,720 +بيصير الصف التالت الواحد ناقص اتنين زيرو بالشكل + +34 +00:03:17,720 --> 00:03:24,760 +اللي عندناالان بدي اخل هذا zero بدل اتنين و هذا + +35 +00:03:24,760 --> 00:03:29,920 +zero يبقى بدي اعمل عمليتين في انا واحد على الشكل + +36 +00:03:29,920 --> 00:03:35,500 +التالف بدي ادرب الصف الأول في سالب اتنين و اضيفه + +37 +00:03:35,500 --> 00:03:42,650 +للصف الثانييبقى بالدرجة يقول سالب اتنين R1 to R2 + +38 +00:03:42,650 --> 00:03:51,750 +وفي نفس الوقت سالب R1 to R3 مرة واحدة يبقى بنحصل + +39 +00:03:51,750 --> 00:03:57,880 +على الصف التالي الصف الأول يبقى كما هويبقى هنا هي + +40 +00:03:57,880 --> 00:04:03,820 +واحد وهنا واحد سالب واحد زيرو وهي قفلنا المصوفة + +41 +00:04:03,820 --> 00:04:10,100 +هنا بدى يصير عندى زيرو سالب اتنين وسالب واحد بيصير + +42 +00:04:10,100 --> 00:04:17,160 +سالب تلاتة يبقى سالب تلاتة موجة بواحد لإن مقفل + +43 +00:04:17,160 --> 00:04:22,020 +ضربنا في سالب اتنين بيصير هنا موجة باتنين وناخص + +44 +00:04:22,020 --> 00:04:27,300 +واحد بيصير عندنا واحد وهنا زيروهنا ضربنا في سالب + +45 +00:04:27,300 --> 00:04:33,800 +واحد يبقى بيصير zero وهنا a ناقص الواحد وهنا بيصير + +46 +00:04:33,800 --> 00:04:39,980 +موجة بواحد وسالب اتنين بسالب واحد وهنا zero كما هي + +47 +00:04:40,830 --> 00:04:45,050 +مرة تانية يا بنادر يبقى ضربت الصف الأول في سلب + +48 +00:04:45,050 --> 00:04:48,870 +اتنين واضفته لاتنين بيصير zero سالب اتنين و سالب + +49 +00:04:48,870 --> 00:04:52,330 +واحد بيصير سالب تلاتة موجة باتنين و سالب واحد + +50 +00:04:52,330 --> 00:04:56,970 +بيصير واحد سالب واحد و واحد zero سالب واحد و a + +51 +00:04:56,970 --> 00:05:00,790 +بيصير a سالب واحد موجة بواحد و سالب اتنين بيصير + +52 +00:05:00,790 --> 00:05:07,310 +سالب واحد والباقي ب zeroنأتي للخطوة التالية الخطوة + +53 +00:05:07,310 --> 00:05:12,690 +التالية ستجعل هذا قداش واحد صحيح يبقى بدي أضرب في + +54 +00:05:12,690 --> 00:05:19,790 +سالب تلت R2 يبقى باجي بقول هذا سهم وهذا سالب تلت + +55 +00:05:19,790 --> 00:05:27,470 +R2 نحصل على المصوفة التاليةواحد واحد ناقص واحد + +56 +00:05:27,470 --> 00:05:37,190 +Zero Zero واحد سالب تلت و هنا Zero A ناقص واحد و + +57 +00:05:37,190 --> 00:05:45,290 +هنا ناقص واحد و هنا Zero Zero كويسيبقى الأن + +58 +00:05:45,290 --> 00:05:51,830 +بالداجي للصف اللي عندنا هذا الصف الثاني بدي أخلي + +59 +00:05:51,830 --> 00:05:57,790 +اللي فوق zero و اللي تحت بدي أحاول أخليها zero بس + +60 +00:05:57,790 --> 00:06:05,150 +قبلها لو أضفت الصف الثاني إلى الصف التالديبقى + +61 +00:06:05,150 --> 00:06:11,930 +كخطوة تانية يبقى بدي أعمل ما يأتي بداجي أخد اللي + +62 +00:06:11,930 --> 00:06:20,270 +هو R2 to R3 نحصل على ما يأتي يبقى بدي أصير عنهناش + +63 +00:06:20,270 --> 00:06:32,360 +و كذلك R2 to R3 و سالب R2 to R1 مرة واحدةيبقى هنا + +64 +00:06:32,360 --> 00:06:42,420 +1 و هنا 0 سالب يصبح موجة بتلت يبقى هنا سالب تلتين + +65 +00:06:42,420 --> 00:06:51,100 +يبقى هنا سالب تلتين و هنا 0الصف هذا يبقى كما هو + +66 +00:06:51,100 --> 00:06:59,680 +Zero واحد سالب طول هنا Zero و هنا أضفنا هنا يبقى + +67 +00:06:59,680 --> 00:07:07,600 +بصير عندنا هنا A فقط لا غير و هنا هذا لما أضفناه + +68 +00:07:07,600 --> 00:07:13,380 +بصير سالب أربعة على تلاتة يبقى سالب أربعة على + +69 +00:07:13,380 --> 00:07:19,810 +تلاتة قفلنا هاي Zero و Zero بالشكل اللي عندناالان + +70 +00:07:19,810 --> 00:07:25,050 +هذا العمود العنصر هذا الـ 0 اللي فوق لكن لتحت ايش؟ + +71 +00:07:25,050 --> 00:07:31,350 +A بدي اتخلص من الـ A يبقى بدي اضرب الصف التاني في + +72 +00:07:31,350 --> 00:07:38,770 +سالب A واضيفه لمين؟ للصف الثالث يبقى هذا سهم يبقى + +73 +00:07:38,770 --> 00:07:48,090 +سالب AR2 to R3 هنشوف شو اللي بدي يحصليبقى في هذه + +74 +00:07:48,090 --> 00:07:53,570 +الحالة بيصير المصوفة على الشكل التالي الصف الأول + +75 +00:07:53,570 --> 00:08:01,310 +زي ما هو one zero سالب تلتين zero الصف الثاني كما + +76 +00:08:01,310 --> 00:08:09,150 +هو zero واحد وهنا سالب تلتوهنا Zero و هنا Zero + +77 +00:08:09,150 --> 00:08:17,190 +نضرب سالب A هنا بصير موجة ب A على تلاتة يبقى A على + +78 +00:08:17,190 --> 00:08:22,890 +تلاتة ناقص أربع على تلاتة و هنا Zero Zero + +79 +00:08:26,370 --> 00:08:32,250 +أظن أكتر من هيك ما أقدرش أبصر نرجع للسؤال السؤال + +80 +00:08:32,250 --> 00:08:37,490 +بيقول سؤال بيقول هات لقيمة إيه بحيث هذا ال system + +81 +00:08:37,490 --> 00:08:44,170 +لهو have a non trivial solution يعني حل غير الحل + +82 +00:08:44,170 --> 00:08:48,490 +الصفري إذا أنا لو بدي أكتب ال system المكافئ لل + +83 +00:08:48,490 --> 00:08:53,770 +system الأصلي بدي أقول X واحد ناقص تلتين X تلاتة + +84 +00:08:53,770 --> 00:08:54,650 +بده يساوي zero + +85 +00:09:04,310 --> 00:09:12,030 +يبقى هذا الكلام يعطينا ا على تلاتة ناقص اربع على + +86 +00:09:12,030 --> 00:09:18,740 +تلاتة اكس تلاتة بده يساوي قداش بده يساوي زيرويبقى + +87 +00:09:18,740 --> 00:09:22,540 +انا اخدت هذا الجزء واسبت الاول للأول مش لازملي انا + +88 +00:09:22,540 --> 00:09:27,300 +بدور على قيمة ايه قال ال system هذا له non trivial + +89 +00:09:27,300 --> 00:09:32,880 +solution حل غير الحل الصفري مدان في حل غير الحل + +90 +00:09:32,880 --> 00:09:39,580 +الصفري هل يمكن ل x تلاتة انها تبقى zero ليس ممكنية + +91 +00:09:39,580 --> 00:09:47,580 +يبقى since بما ان the system have + +92 +00:10:11,030 --> 00:10:18,250 +X3 لا يمكن أن تساوي 0ما دام X تلاتة لا يمكن أن + +93 +00:10:18,250 --> 00:10:22,130 +تساوي Zero حاصل ضرب الاتنين يساوي Zero إذا ال term + +94 +00:10:22,130 --> 00:10:27,290 +التاني هو اللي ب Zero يبقى هذا بده يعطينا أن A على + +95 +00:10:27,290 --> 00:10:32,670 +تلاتة ناقص أربعة تلاتة هي التي تساوي Zeroأظن لو + +96 +00:10:32,670 --> 00:10:36,470 +ضربت في تلاتة بيصير ال a ناقص أربعة يساوي zero + +97 +00:10:36,470 --> 00:10:42,430 +يبقى ال a تساوي قداش أربعة يبقى لو كانت a باربعة + +98 +00:10:42,430 --> 00:10:48,150 +بيصير عند ا بيصير عند ال system اللي عندنا هذا له + +99 +00:10:48,150 --> 00:10:54,370 +حل غير الحل الصفري واضح هذا الكلام؟ حدا فيكم اللي + +100 +00:10:54,370 --> 00:11:00,640 +هيتساءل؟طب الآن انتهى ال section وليكن أرقام + +101 +00:11:00,640 --> 00:11:07,680 +المسائل تتمرن عليها يبقى باجلة exercises اتنين + +102 +00:11:07,680 --> 00:11:14,780 +اتنين المسائل التالية تلاتة وخمسة وسبعة وتسعة + +103 +00:11:14,780 --> 00:11:23,320 +وحداشر واطناش وتلتاشر ايه؟تلاتاشر بيها يحلنا وهذا + +104 +00:11:23,320 --> 00:11:43,280 +تلاتاشر ا مارنوا يديكوا فيه هي تساول؟ خطوة + +105 +00:11:43,280 --> 00:11:49,170 +هذه قصدك؟ضرب تار اتنين في سالب A مظبوط يبقى بيصير + +106 +00:11:49,170 --> 00:11:55,230 +سالب A و A ب Zero سالب A و سالب تلت ب A على تلاتة + +107 +00:11:55,230 --> 00:12:00,750 +هيها A على تلاتة ناقص أربعة تلاتة طلع A على تلاتة + +108 +00:12:00,750 --> 00:12:04,290 +ناقص أربعة تلاتة الكلام سليم مائة بالمائة لا يوجد + +109 +00:12:04,290 --> 00:12:05,610 +أي خطأ + +110 +00:12:24,050 --> 00:12:32,750 +ننتقل الان الى section 2-4 بعد ما نشط ب2-3 يبقى + +111 +00:12:32,750 --> 00:12:38,630 +بنروح ل section 2-4 2 + +112 +00:12:38,630 --> 00:12:46,830 +-4 اللي هو matrices and + +113 +00:12:46,830 --> 00:12:48,970 +vectors + +114 +00:12:54,430 --> 00:12:59,970 +التحديث هو إذا + +115 +00:12:59,970 --> 00:13:11,010 +كان لدينا نظام عضو عضو من الهواتف + +116 +00:13:11,010 --> 00:13:14,950 +A11X1 + +117 +00:13:19,910 --> 00:13:27,350 +A12X2 A1NXN B1 A21X1 + +118 +00:13:27,350 --> 00:13:33,430 +A22X2 A2NXN + +119 +00:13:33,430 --> 00:13:38,190 +B2 A + +120 +00:13:38,190 --> 00:13:57,690 +M1X1 A M2X2 زائد A M N X N بده ساوي بي M هذا ال + +121 +00:13:57,690 --> 00:14:04,430 +system then then + +122 +00:14:04,430 --> 00:14:10,850 +the matrix المصوفة + +123 +00:14:13,270 --> 00:14:26,830 +العناصرها a11, a12, a1n, a21, a22, a2n نفض + +124 +00:14:26,830 --> 00:14:39,330 +الماشيين لغاية a m1, a m2, a mn it is called + +125 +00:14:42,480 --> 00:14:55,040 +The coefficient matrix of + +126 +00:14:55,040 --> 00:15:00,220 +size M in + +127 +00:15:17,780 --> 00:15:30,040 +الوضع AIG هو المدخل المدخل + +128 +00:15:30,040 --> 00:15:35,060 +في عصر العين في + +129 +00:15:35,060 --> 00:15:39,500 +عصر + +130 +00:15:39,500 --> 00:15:40,240 +العين و + +131 +00:15:50,760 --> 00:15:52,160 +definition + +132 +00:15:56,660 --> 00:15:59,760 +يبقى بدرجة على الخاصية ده قبل أن أنتقل لخاصية + +133 +00:15:59,760 --> 00:16:04,900 +ثانية يبقى بالبلد هيك هذا معناه إيش لو ضربت عدد في + +134 +00:16:04,900 --> 00:16:09,360 +مصوفة يبقى بدي أضرب في جميع عناصر المصوفة بلا + +135 +00:16:09,360 --> 00:16:13,560 +إستثناء يبقى هاي المقصود طب أضرب من اليمين العنصر + +136 +00:16:13,560 --> 00:16:16,400 +ولا من الشمال يبقى من أينما بدك تضرب أضرب ما ده + +137 +00:16:16,400 --> 00:16:20,610 +مراقمبتضرب المصوفة تضرب من اليمين وتضرب من الشمال + +138 +00:16:20,610 --> 00:16:24,870 +لتنين are the same وبالتالي بنضرب هذا الرقم في كل + +139 +00:16:24,870 --> 00:16:29,250 +عنصر من عناصر المصوفة فمثلا لو كان عنصر المصوفة A + +140 +00:16:29,250 --> 00:16:33,090 +بقى بدي تلاتة A بروح بدرب تلاتة في كل عنصر من عنصر + +141 +00:16:33,090 --> 00:16:40,560 +المصوفةاللي في الداخل فبصير 690-3-690315 + +142 +00:16:40,560 --> 00:16:46,400 +وبالتالي هذا معنى ضرب اللي هو عنصر أو ضرب رقم في + +143 +00:16:46,400 --> 00:16:52,520 +مصفوفة نجد الخاصية الثانية من هذه الخواص اللي + +144 +00:16:52,520 --> 00:16:57,560 +بتقول لي ما يأتي if + +145 +00:16:57,560 --> 00:17:02,940 +ال A and ال B are + +146 +00:17:23,790 --> 00:17:34,150 +مثلًا M في N ثم + +147 +00:17:36,220 --> 00:17:47,340 +الـ A زي دي ال B الـ A matrix is a matrix of the + +148 +00:17:47,340 --> 00:17:54,780 +same size of the + +149 +00:17:54,780 --> 00:18:05,000 +same size M في N ماديش + +150 +00:18:05,000 --> 00:18:05,620 +صوت بالمرة + +151 +00:18:23,830 --> 00:18:28,890 +يبقى هذا بتكلم على جمع مصففين بيقول لو كان عند A + +152 +00:18:28,890 --> 00:18:34,910 +وB مصففين لهم نفس ال size اللي هو M في N مثلا يبقى + +153 +00:18:34,910 --> 00:18:39,710 +المجموع تبعهم بيديهوله نفس ال size اللي هو M في M + +154 +00:18:39,710 --> 00:18:47,250 +نعطي مثال تعوضيها for example F + +155 +00:18:48,620 --> 00:18:57,900 +الـ A تساوي مثلا اتنين تلاتة واحد Zero أربعة Zero + +156 +00:18:57,900 --> 00:19:08,300 +سالب واحد سالب اتنين سالب تلاتة and ال B تساويطبعا + +157 +00:19:08,300 --> 00:19:14,280 +واضح ان هذا النظام ما جديش له 2 في 4 يبقى مشان يتم + +158 +00:19:14,280 --> 00:19:18,680 +جمع مع مصوفة تانية بيه بدي يكون نظام كذلك اتنين + +159 +00:19:18,680 --> 00:19:20,440 +كده + +160 +00:19:26,850 --> 00:19:31,890 +أتنين في أربعة يبقى هذا بالضبط تمام يكون هنا اتنين + +161 +00:19:31,890 --> 00:19:39,350 +في أربعة and ال B يساوي Zero تلاتة ناقص واحد اتنين + +162 +00:19:39,350 --> 00:19:45,590 +و هنا واحد تلاتة اتنين خمسة بالشكل اللي عندنا هذا + +163 +00:19:45,590 --> 00:19:54,310 +then لو بداجي أخد ال A زائد ال Bيبقى بيقول الجمع + +164 +00:19:54,310 --> 00:19:59,230 +بنجمع العناصر المتناضرة مع بعضها كيف؟ كالتالي + +165 +00:19:59,230 --> 00:20:03,810 +فباجي بقول الاتنين مع زيرو اللي هي باتنين تلاتة و + +166 +00:20:03,810 --> 00:20:09,310 +تلاتة بستة واحد و ناقص واحد بزيرو اربعة و اتنين + +167 +00:20:09,310 --> 00:20:15,750 +كذلك بستة زيرو واحد بواحد سالب واحد و تلاتة باتنين + +168 +00:20:15,870 --> 00:20:21,070 +سالب اتنين و اتنين اف زيرو سالب تلاتة و خمسة اللي + +169 +00:20:21,070 --> 00:20:29,620 +هو بقداش باتنين لكن لو جيت قلت ال A ناقص ال Bمعنى + +170 +00:20:29,620 --> 00:20:37,960 +هذا الكلام ان هذه a زائد ناقص واحد في b يبقى كأنه + +171 +00:20:37,960 --> 00:20:42,680 +انا بده اضرب ال b في قداش سالب واحد يبقى هذا + +172 +00:20:42,680 --> 00:20:48,280 +الكلام بده يسوي ال a زي ما هي اتنين تلاتة واحد + +173 +00:20:48,280 --> 00:20:54,540 +اربعة Zero سالب واحد سالب اتنين سالب تلاتة سالب + +174 +00:20:54,540 --> 00:20:59,180 +تلاتة بالشكل اللي عندنا هذا زائدبدا اجي على P + +175 +00:20:59,180 --> 00:21:04,060 +واضربها كلها في سالب واحد يبقى Zero سالب تلاتة + +176 +00:21:04,060 --> 00:21:08,680 +واحد سالب اتنين سالب واحد سالب تلاتة سالب اتنين + +177 +00:21:08,680 --> 00:21:16,170 +سالب خمسة يبقى النتيجة بالشكل التالييبقى هي اتنين + +178 +00:21:16,170 --> 00:21:23,110 +وهي zero وهي كمان اتنين وهنا كمان اتنين الصفر + +179 +00:21:23,110 --> 00:21:31,290 +التاني اللي هو سالب واحد وهنا سالب اربعة وهنا كمان + +180 +00:21:31,290 --> 00:21:38,810 +سالب اربعةوهذا اللي هو جد ياش بيظل سالب تمانية + +181 +00:21:38,810 --> 00:21:43,650 +بالشكل اللي عندها ده يبقى هاي جامعة واطارح مصفتين + +182 +00:21:43,650 --> 00:21:47,770 +الجامعة العناص المتناضرة مع بعضها واطارح كذلك + +183 +00:21:47,770 --> 00:21:52,170 +العناص المتناضرة مع بعضها ويجب أن تكون المصفتين من + +184 +00:21:52,170 --> 00:21:57,860 +نفس النظاملكن لو أجمع نظام و نظام و نظام و نظام و + +185 +00:21:57,860 --> 00:21:58,840 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +186 +00:21:58,840 --> 00:22:05,320 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +187 +00:22:05,320 --> 00:22:06,900 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +188 +00:22:06,900 --> 00:22:08,000 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +189 +00:22:08,000 --> 00:22:11,980 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +190 +00:22:11,980 --> 00:22:22,120 +نظام و + +191 +00:22:25,850 --> 00:22:36,410 +مثلثات مثلثات مثلثات مثلثات مثلثة مثلثة مثلثة + +192 +00:22:36,410 --> 00:22:38,330 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +193 +00:22:38,330 --> 00:22:41,710 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +194 +00:22:41,710 --> 00:22:41,870 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +195 +00:22:41,870 --> 00:22:41,890 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +196 +00:22:41,890 --> 00:22:41,930 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +197 +00:22:41,930 --> 00:22:47,250 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +198 +00:22:47,250 --> 00:22:50,830 +مثلثة + +199 +00:22:51,360 --> 00:22:58,560 +real numbers then + +200 +00:22:58,560 --> 00:23:10,820 +النقطة الأولى ال a زائد ال b يساوي ال b زائد ال a + +201 +00:23:10,820 --> 00:23:22,120 +النقطة الثانية ال aزائد ال B زائد ال C بدها تساوي + +202 +00:23:22,120 --> 00:23:32,120 +ال A زائد ال B زائد ال C مقطة + +203 +00:23:32,120 --> 00:23:40,660 +تالتة ال A في ال B في ال A بده يساوي A + +204 +00:23:56,380 --> 00:23:59,020 +النقطة الرابعة + +205 +00:24:02,840 --> 00:24:12,980 +زائد الـ B في المصحوف A بيساوي AA زائد BA نقطة + +206 +00:24:12,980 --> 00:24:21,480 +الخامسة الـ C في الـ A زائد الـ B ساوي C في A زائد + +207 +00:24:21,480 --> 00:24:22,800 +C في B + +208 +00:24:58,940 --> 00:25:04,660 +النظرية اللى بين أدينا هذه بتتكلم عن جمع المصوفات + +209 +00:25:04,660 --> 00:25:10,080 +مع بعضها البعض أو ضرب مقدار ثابت فيه مصوفة و جمعه + +210 +00:25:10,080 --> 00:25:15,380 +مع مين مع مصوفة أخرى فبقول لو عندي تلت مصوفات + +211 +00:25:15,380 --> 00:25:19,860 +ديروا بالكوا الرمز الكبير هذا الممصب للمصوفة الرمز + +212 +00:25:19,860 --> 00:25:24,420 +الصغير دائما و أبدا لل real numberفبعدين بقول لو + +213 +00:25:24,420 --> 00:25:30,800 +عندي تلات مصففات A وB وC التلاتة لهم نفس الحجم + +214 +00:25:30,800 --> 00:25:34,080 +اتنين في اتنين يبقى كله اتنين في اتنين تلاتة في + +215 +00:25:34,080 --> 00:25:39,190 +تلاتة خمسة في عشرة كله خمسة في عشرةبيقول كان الـ A + +216 +00:25:39,190 --> 00:25:43,810 +والـ B والـ C are real numbers يبقى أعداد حقيقية + +217 +00:25:43,810 --> 00:25:49,510 +ذنب الـ A زائد الـ B بديه ساوي B زائد الـ A شو + +218 +00:25:49,510 --> 00:25:53,590 +الخاصية هذه بنسميها في رقم الرياضيات؟ خاصية + +219 +00:25:53,590 --> 00:25:58,630 +الإبدال يبقى المقصود في ذلك أن عملية جمع المصحفات + +220 +00:25:58,630 --> 00:26:05,350 +عملية إبدالية A زائد الـ B بديه ساوي B زائد الـ A + +221 +00:26:05,860 --> 00:26:10,820 +النقطة الثانية a زائد ال b زائد ال c ها بدي أجمع a + +222 +00:26:10,820 --> 00:26:15,680 +و b في الأول ثم أجمع النتج إلى c أو العكس أجمع b و + +223 +00:26:15,680 --> 00:26:20,280 +c في الأول ثم أجمع لهمين المصوفين يبقى هذا بيجينا + +224 +00:26:20,280 --> 00:26:27,400 +نسميها خاصية التجميع أو خاصية الدمج إذن عملية جمع + +225 +00:26:27,400 --> 00:26:33,120 +المصوات عملية إدماجية بيجينا نسميها associative + +226 +00:26:33,120 --> 00:26:39,960 +lawCommutative لا قانون الإبدال Associative لا + +227 +00:26:39,960 --> 00:26:46,280 +قانون الدمج أو قانون التجميلالنقطة الثالثة الـ a و + +228 +00:26:46,280 --> 00:26:50,540 +ال b are real numbers بيقولّي لو جيت على المصوف a + +229 +00:26:50,540 --> 00:26:55,440 +ضربت في ال real number b و اللي نتج ضربت فيه ال + +230 +00:26:55,440 --> 00:27:00,160 +real number a تماما كما لو ضربت ال a و ال b as + +231 +00:27:00,160 --> 00:27:03,820 +real numbers في بعض هيطلع real number جديد و لو + +232 +00:27:03,820 --> 00:27:08,950 +طلبه في المصوف a بتطلع نفس النتج هذا أولو بدلت + +233 +00:27:08,950 --> 00:27:13,730 +مكان a b equals b a فهي عملية ضرب ال real numbers + +234 +00:27:13,730 --> 00:27:18,610 +عملية خمسة في ستة هي ستة في خمسة مظبوط هذه أعداد + +235 +00:27:18,610 --> 00:27:23,810 +حقيقية إذا هذه عملية الإفدال عليها صحيحةوبالتالي + +236 +00:27:23,810 --> 00:27:27,970 +ممكن ارجع تانية و اقول بي لحالها وبعدين اضرب ا في + +237 +00:27:27,970 --> 00:27:33,950 +ا والنتج اضربه في مين في بي مافيش مشكلة في حالة + +238 +00:27:33,950 --> 00:27:39,190 +ضرب اي رقم او رقمين ان شاء الله عشرين رقم في مصور + +239 +00:27:39,190 --> 00:27:44,100 +تضرب مين في الاول ماعناه مشكلةبنجي اللي هنا اسمها + +240 +00:27:44,100 --> 00:27:50,200 +distributive law خاصية التوزيع لو عندي two real + +241 +00:27:50,200 --> 00:27:54,720 +numbers و جمعتهم و بدي اضربهم في مين في مصوفة ايه + +242 +00:27:54,720 --> 00:27:58,960 +تماما كما لو ضربت الرقم الأول في ايه و الرقم + +243 +00:27:58,960 --> 00:28:05,130 +التاني في ايه و ثم جمعت النتيجةيبقى a زائد b في + +244 +00:28:05,130 --> 00:28:10,830 +المصوفة a هو a في a زائد b في اتنين نفس العملية + +245 +00:28:10,830 --> 00:28:15,130 +هذا كمان ال associatively constant او real number + +246 +00:28:15,130 --> 00:28:20,490 +على مجموع two matrices يبقى c في a زائد b يساوي c + +247 +00:28:20,490 --> 00:28:26,870 +في a زائد c في bهذه معلومات أولية عن عملية الجمع + +248 +00:28:26,870 --> 00:28:31,690 +والطرح على المصفوفة عملية الجمع هي عملية الطرح + +249 +00:28:31,690 --> 00:28:37,150 +بالضبط تماما وكأنه نفس العملية بس الطرح بيخليها + +250 +00:28:37,150 --> 00:28:41,230 +جمع وبقول كأن المصفوفة بس مضروبة في من؟ في سالب + +251 +00:28:41,230 --> 00:28:46,010 +واحد احنا كنا رفعين عنوان العنوان هذا بقين اقول + +252 +00:28:46,010 --> 00:28:51,150 +matrices andVectors يبقى الأن بدنا نيجي لل vectors + +253 +00:28:51,150 --> 00:28:56,670 +نعرف ما هو المقصود بال vectors طبعا يبقى بدنا نيجي + +254 +00:28:56,670 --> 00:29:09,870 +لعنوان جانب هيك بدنا نقول raw and columns vectors + +255 +00:29:18,270 --> 00:29:23,950 +تبقى المتجهات المتجهات + +256 +00:29:23,950 --> 00:29:31,010 +الصفوف ومتجهات الأعمدة definition تعريف الأول a + +257 +00:29:31,010 --> 00:29:36,250 +matrix with + +258 +00:29:36,250 --> 00:29:39,430 +with + +259 +00:29:39,430 --> 00:29:42,530 +one call and + +260 +00:29:48,970 --> 00:29:54,150 +in rows عمود + +261 +00:29:54,150 --> 00:30:05,430 +واحد و in من الصفوف of the form على الشكل x واحد و + +262 +00:30:05,430 --> 00:30:11,450 +x اتنين و نظل ماشيين لغاية x in بهذا الشكل is + +263 +00:30:11,450 --> 00:30:12,310 +called + +264 +00:30:18,200 --> 00:30:24,520 +and in dimensional + +265 +00:30:24,520 --> 00:30:32,900 +convector + +266 +00:30:32,900 --> 00:30:36,120 +ماحدش + +267 +00:30:36,120 --> 00:30:46,060 +أحسن من حد ندى a matrix with + +268 +00:30:53,740 --> 00:31:17,260 +مع شكل Y1 + +269 +00:31:17,260 --> 00:31:39,500 +و Y2و لغاية yn is called بروح نسميه indimensional + +270 +00:31:39,500 --> 00:31:42,240 +raw vector + +271 +00:31:51,570 --> 00:32:11,330 +for example كمثال على ذلك ال matrix ال + +272 +00:32:11,330 --> 00:32:36,770 +matrix A تساوي A11 A12A1N A21 A22 A2N AM1 AM2 AMN + +273 +00:32:36,770 --> 00:32:47,530 +شكل ان هذا اللي سميها هذه المصفوفة star with size + +274 +00:32:50,360 --> 00:32:57,120 +m في n has + +275 +00:32:57,120 --> 00:33:03,100 +columns + +276 +00:33:03,100 --> 00:33:15,020 +columns vectors columns vectors u1 بده يساوي a11 + +277 +00:33:15,020 --> 00:33:17,620 +a21 + +278 +00:33:19,280 --> 00:33:36,220 +و لغاية am1 و ال U2 بده يساوي a12 a22 am2 + +279 +00:33:36,220 --> 00:33:49,990 +ونظل ماشيين لغاية un اللي هي a1n a2nأن + +280 +00:34:19,440 --> 00:34:26,320 +عند هذه الوصفات الواحدة الواحدة + +281 +00:34:26,320 --> 00:34:30,200 +الواحدة الواحدة الواحدة الواحدة + +282 +00:34:39,070 --> 00:34:47,050 +A12 A1N V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +283 +00:34:47,050 --> 00:34:50,770 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +284 +00:34:50,770 --> 00:34:50,990 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +285 +00:34:50,990 --> 00:34:51,050 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +286 +00:34:51,050 --> 00:34:55,330 +V2 V2 V2 V2 V2 V2 V2 V2 V2 + +287 +00:34:55,330 --> 00:35:01,870 +V2 V + +288 +00:35:07,990 --> 00:35:30,810 +بالشكل اللي عندنا هذا الروح + +289 +00:35:30,810 --> 00:35:42,180 +نكتب على الشكل التاليA تساوي U1 U2 و لغاية UN + +290 +00:35:42,180 --> 00:35:48,120 +where each + +291 +00:35:48,120 --> 00:36:02,560 +of U1 و U2 و لغاية UN is M dimensionalم + +292 +00:36:02,560 --> 00:36:05,600 +دايمينشينال + +293 +00:36:05,600 --> 00:36:19,940 +م دايمينشينال كلم vectors وكذلك + +294 +00:36:19,940 --> 00:36:42,270 +ال A تساوي V1 V2 لغاية VmWhere each of V1 و V2 و + +295 +00:36:42,270 --> 00:36:50,490 +لغاية VM is an N-dimensional + +296 +00:37:01,910 --> 00:37:06,290 +ان دايمنشينال را فكتر + +297 +00:37:47,410 --> 00:37:52,870 +الان نعود لبعض التعريفات التي تشاهدونها التعريف + +298 +00:37:52,870 --> 00:37:58,750 +الأول هو matrix with one column and n rows عمود + +299 +00:37:58,750 --> 00:38:03,530 +واحد ومجموعة من الصفورة هذا ليس مصطفوش فقط عمود + +300 +00:38:03,530 --> 00:38:07,590 +واحد وصفر اتنين وتلاتة من الصفورة ان من الصفورة في + +301 +00:38:07,590 --> 00:38:12,310 +الشكل لأن هذا بنسميها n-dimensional column vector + +302 +00:38:12,310 --> 00:38:20,880 +يبقىمتجه عمودي له N من الإحداثيات M dimensional + +303 +00:38:20,880 --> 00:38:26,580 +يعني كان فيه N من العناصر تمام اللي بعد Matrix + +304 +00:38:26,580 --> 00:38:33,540 +with one row صف واحد لكن M من الأعمدةيبقى صف واحد + +305 +00:38:33,540 --> 00:38:39,140 +و N من الأعمدة of the form Y1 Y2 يبقى صف واحد + +306 +00:38:39,140 --> 00:38:45,960 +وعمودي 2 3 4 N يبقى بسميه N dimensional row vector + +307 +00:38:49,140 --> 00:38:55,740 +N dimensional call vector مصفوفة عمود مصفوفة صفر + +308 +00:38:55,740 --> 00:39:03,020 +يبقى هذا متجه عمودي وهذا متجه صفري فمثلا لو أخدت + +309 +00:39:03,020 --> 00:39:09,460 +مصفوفة المعاملات هيكون فيهاالـ vector الأول ال + +310 +00:39:09,460 --> 00:39:13,420 +vector التاني ال vector التالت اللي سميته U1 و U2 + +311 +00:39:13,420 --> 00:39:18,540 +و U3 حيكون فيها ال raw vector الصف الأول الصف + +312 +00:39:18,540 --> 00:39:24,280 +التاني الصف رقم M زي ما ديته الرمز V يبقى U + +313 +00:39:24,280 --> 00:39:29,640 +أطلقتها على الصفوف و V أطلقتها على الأعمدة و H + +314 +00:39:29,640 --> 00:39:35,240 +أطلقتها على مين على الصفوف يبقى ممكن أرجع أكتب + +315 +00:39:35,240 --> 00:39:40,140 +المصفوف أستر على الصيغة التاليةيبقى U1 و U2 و لغة + +316 +00:39:40,140 --> 00:39:44,700 +UL طبعا هذا عمود و هذا عمود و هذا عمود و هذا عمود + +317 +00:39:44,700 --> 00:39:49,900 +او بقدر اكتبها على الشكل التالي و كل واحد عبارة عن + +318 +00:39:49,900 --> 00:39:55,260 +مين عبارة عن صف سواء كان هذا و لا هذا الاتنين are + +319 +00:39:55,260 --> 00:40:00,280 +the same هنحاول نعطي أمثلة المرة الجاية على ال two + +320 +00:40:00,280 --> 00:40:03,720 +definitions هذول ان شاء الله تعالى اعطيكوا العفو + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HH8I6sciKRM_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HH8I6sciKRM_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..8768860bdb1e72b48b9024b56fc51ebd11232716 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HH8I6sciKRM_raw.srt @@ -0,0 +1,1300 @@ +1 +00:00:20,690 --> 00:00:25,470 +بسم الله الرحمن الرحيم المرة اللي فاتت ابتدأنا ب + +2 +00:00:25,470 --> 00:00:30,090 +section ال homogeneous systems وأخدنا على ذلك + +3 +00:00:30,090 --> 00:00:37,110 +مثالين وهذا هو المثال رقم تلاتة يعني + +4 +00:00:37,110 --> 00:00:40,450 +اللي قلنا المرة اللي فاتت ال homogeneous system يا + +5 +00:00:40,450 --> 00:00:44,810 +إما إله ل trivial solutionيا إما إله الـ Non + +6 +00:00:44,810 --> 00:00:48,270 +-homogeneous solutions وهذه الـ Non-homogeneous + +7 +00:00:48,270 --> 00:00:52,170 +solutions تحتوي عالميا على الـ homogeneous + +8 +00:00:52,170 --> 00:00:56,570 +solution أما حكاية إنه مافيش solution فهذا مستبعد + +9 +00:00:56,570 --> 00:01:01,850 +تماما أخذنا مثالين وهذا هو المثال الرقم تلاتة + +10 +00:01:02,300 --> 00:01:06,620 +السؤال بيقول لي for what values of A ما هي القيم + +11 +00:01:06,620 --> 00:01:11,360 +اللي بياخدها ثابت A بحيث ان ال system اللي عند هذا + +12 +00:01:11,360 --> 00:01:17,280 +له non trivial solution يعني له حل غير الحل الصفري + +13 +00:01:17,820 --> 00:01:21,620 +طب نجيب نقوله ال tactic نفس القصة تابعة المرة اللي + +14 +00:01:21,620 --> 00:01:26,420 +فاتت بالنسبة للمثالين السابقين يبقى بدنا نبدأ + +15 +00:01:26,420 --> 00:01:31,460 +بالمصفوفة الموسعة و نشغل عمليات الصفقة البسيطة + +16 +00:01:31,460 --> 00:01:35,240 +يبقى لو جيت للمصفوفة الموسعة هتكون على الشكل + +17 +00:01:35,240 --> 00:01:42,480 +التالي واحدأناقص اتنين زيرو صف التاني اتنين ناقص + +18 +00:01:42,480 --> 00:01:48,280 +واحد ناقص واحد زيرو صف التالت ناقص ناقص واحد وهنا + +19 +00:01:48,280 --> 00:01:54,120 +واحد وهنا زيرو بالشكل اللي عندنا هذا المصروف اللي + +20 +00:01:54,120 --> 00:01:59,440 +عندنا هذا يبدأ حاول اللي طبعا واضح ان العموق الصف + +21 +00:01:59,440 --> 00:02:03,740 +الانصر الأول هنا ال leading هو واحد يبقى جاهز لكن + +22 +00:02:03,740 --> 00:02:09,330 +العيامين ميمإيه لو بدنا نضرب و نضيف بتتعجد شوية + +23 +00:02:09,330 --> 00:02:14,930 +فإلا خاطر أبدل الصف الأول مع الصف التالت مع ضرب + +24 +00:02:14,930 --> 00:02:20,410 +الصف التالت في إشارة سالب مرة واحدة وبالتالي بخلي + +25 +00:02:20,410 --> 00:02:25,690 +ال a تحت وبالتالي بصير أسهلنا شوية يبقى بدي أعمل + +26 +00:02:25,690 --> 00:02:30,750 +ما يأتي يبقى هذا السهم يبقى بالدهجة أقوله replace + +27 +00:02:32,410 --> 00:02:41,890 +استبدل سالب R3 and R1 يبقى بدي أجي على الصف الأول + +28 +00:02:41,890 --> 00:02:45,830 +والصف التالت هذه معناته بدي أعمل عمليتين مع بعض في + +29 +00:02:45,830 --> 00:02:50,690 +انا واحد بدي أضرب الصف التالت في إشارة سالب في + +30 +00:02:50,690 --> 00:02:55,910 +إشارة سالب واحد ومن ثم أبدل مع مين مع الصف الأول + +31 +00:02:55,910 --> 00:03:00,470 +يبقى هذه بيصير المصوفة على الشكل التالي واحد + +32 +00:03:03,420 --> 00:03:11,280 +صف الثاني كما هو ماعملناهش له حاجة الصف الأول + +33 +00:03:11,280 --> 00:03:17,720 +بيصير الصف التالت الواحد ناقص اتنين زيرو بالشكل + +34 +00:03:17,720 --> 00:03:24,760 +اللي عندناالان بدي اخل هذا zero بدل اتنين و هذا + +35 +00:03:24,760 --> 00:03:29,920 +zero يبقى بدي اعمل عمليتين في انا واحد على الشكل + +36 +00:03:29,920 --> 00:03:35,500 +التالف بدي ادرب الصف الأول في سالب اتنين و اضيفه + +37 +00:03:35,500 --> 00:03:42,650 +للصف الثانييبقى بالدرجة يقول سالب اتنين R1 to R2 + +38 +00:03:42,650 --> 00:03:51,750 +وفي نفس الوقت سالب R1 to R3 مرة واحدة يبقى بنحصل + +39 +00:03:51,750 --> 00:03:57,880 +على الصف التالي الصف الأول يبقى كما هويبقى هنا هي + +40 +00:03:57,880 --> 00:04:03,820 +واحد وهنا واحد سالب واحد زيرو وهي قفلنا المصوفة + +41 +00:04:03,820 --> 00:04:10,100 +هنا بدى يصير عندى زيرو سالب اتنين وسالب واحد بيصير + +42 +00:04:10,100 --> 00:04:17,160 +سالب تلاتة يبقى سالب تلاتة موجة بواحد لإن مقفل + +43 +00:04:17,160 --> 00:04:22,020 +ضربنا في سالب اتنين بيصير هنا موجة باتنين وناخص + +44 +00:04:22,020 --> 00:04:27,300 +واحد بيصير عندنا واحد وهنا زيروهنا ضربنا في سالب + +45 +00:04:27,300 --> 00:04:33,800 +واحد يبقى بيصير zero وهنا a ناقص الواحد وهنا بيصير + +46 +00:04:33,800 --> 00:04:39,980 +موجة بواحد وسالب اتنين بسالب واحد وهنا zero كما هي + +47 +00:04:40,830 --> 00:04:45,050 +مرة تانية يا بنادر يبقى ضربت الصف الأول في سلب + +48 +00:04:45,050 --> 00:04:48,870 +اتنين واضفته لاتنين بيصير zero سالب اتنين و سالب + +49 +00:04:48,870 --> 00:04:52,330 +واحد بيصير سالب تلاتة موجة باتنين و سالب واحد + +50 +00:04:52,330 --> 00:04:56,970 +بيصير واحد سالب واحد و واحد zero سالب واحد و a + +51 +00:04:56,970 --> 00:05:00,790 +بيصير a سالب واحد موجة بواحد و سالب اتنين بيصير + +52 +00:05:00,790 --> 00:05:07,310 +سالب واحد والباقي ب zeroنأتي للخطوة التالية الخطوة + +53 +00:05:07,310 --> 00:05:12,690 +التالية ستجعل هذا قداش واحد صحيح يبقى بدي أضرب في + +54 +00:05:12,690 --> 00:05:19,790 +سالب تلت R2 يبقى باجي بقول هذا سهم وهذا سالب تلت + +55 +00:05:19,790 --> 00:05:27,470 +R2 نحصل على المصوفة التاليةواحد واحد ناقص واحد + +56 +00:05:27,470 --> 00:05:37,190 +Zero Zero واحد سالب تلت و هنا Zero A ناقص واحد و + +57 +00:05:37,190 --> 00:05:45,290 +هنا ناقص واحد و هنا Zero Zero كويسيبقى الأن + +58 +00:05:45,290 --> 00:05:51,830 +بالداجي للصف اللي عندنا هذا الصف الثاني بدي أخلي + +59 +00:05:51,830 --> 00:05:57,790 +اللي فوق zero و اللي تحت بدي أحاول أخليها zero بس + +60 +00:05:57,790 --> 00:06:05,150 +قبلها لو أضفت الصف الثاني إلى الصف التالديبقى + +61 +00:06:05,150 --> 00:06:11,930 +كخطوة تانية يبقى بدي أعمل ما يأتي بداجي أخد اللي + +62 +00:06:11,930 --> 00:06:20,270 +هو R2 to R3 نحصل على ما يأتي يبقى بدي أصير عنهناش + +63 +00:06:20,270 --> 00:06:32,360 +و كذلك R2 to R3 و سالب R2 to R1 مرة واحدةيبقى هنا + +64 +00:06:32,360 --> 00:06:42,420 +1 و هنا 0 سالب يصبح موجة بتلت يبقى هنا سالب تلتين + +65 +00:06:42,420 --> 00:06:51,100 +يبقى هنا سالب تلتين و هنا 0الصف هذا يبقى كما هو + +66 +00:06:51,100 --> 00:06:59,680 +Zero واحد سالب طول هنا Zero و هنا أضفنا هنا يبقى + +67 +00:06:59,680 --> 00:07:07,600 +بصير عندنا هنا A فقط لا غير و هنا هذا لما أضفناه + +68 +00:07:07,600 --> 00:07:13,380 +بصير سالب أربعة على تلاتة يبقى سالب أربعة على + +69 +00:07:13,380 --> 00:07:19,810 +تلاتة قفلنا هاي Zero و Zero بالشكل اللي عندناالان + +70 +00:07:19,810 --> 00:07:25,050 +هذا العمود العنصر هذا الـ 0 اللي فوق لكن لتحت ايش؟ + +71 +00:07:25,050 --> 00:07:31,350 +A بدي اتخلص من الـ A يبقى بدي اضرب الصف التاني في + +72 +00:07:31,350 --> 00:07:38,770 +سالب A واضيفه لمين؟ للصف الثالث يبقى هذا سهم يبقى + +73 +00:07:38,770 --> 00:07:48,090 +سالب AR2 to R3 هنشوف شو اللي بدي يحصليبقى في هذه + +74 +00:07:48,090 --> 00:07:53,570 +الحالة بيصير المصوفة على الشكل التالي الصف الأول + +75 +00:07:53,570 --> 00:08:01,310 +زي ما هو one zero سالب تلتين zero الصف الثاني كما + +76 +00:08:01,310 --> 00:08:09,150 +هو zero واحد وهنا سالب تلتوهنا Zero و هنا Zero + +77 +00:08:09,150 --> 00:08:17,190 +نضرب سالب A هنا بصير موجة ب A على تلاتة يبقى A على + +78 +00:08:17,190 --> 00:08:22,890 +تلاتة ناقص أربع على تلاتة و هنا Zero Zero + +79 +00:08:26,370 --> 00:08:32,250 +أظن أكتر من هيك ما أقدرش أبصر نرجع للسؤال السؤال + +80 +00:08:32,250 --> 00:08:37,490 +بيقول سؤال بيقول هات لقيمة إيه بحيث هذا ال system + +81 +00:08:37,490 --> 00:08:44,170 +لهو have a non trivial solution يعني حل غير الحل + +82 +00:08:44,170 --> 00:08:48,490 +الصفري إذا أنا لو بدي أكتب ال system المكافئ لل + +83 +00:08:48,490 --> 00:08:53,770 +system الأصلي بدي أقول X واحد ناقص تلتين X تلاتة + +84 +00:08:53,770 --> 00:08:54,650 +بده يساوي zero + +85 +00:09:04,310 --> 00:09:12,030 +يبقى هذا الكلام يعطينا ا على تلاتة ناقص اربع على + +86 +00:09:12,030 --> 00:09:18,740 +تلاتة اكس تلاتة بده يساوي قداش بده يساوي زيرويبقى + +87 +00:09:18,740 --> 00:09:22,540 +انا اخدت هذا الجزء واسبت الاول للأول مش لازملي انا + +88 +00:09:22,540 --> 00:09:27,300 +بدور على قيمة ايه قال ال system هذا له non trivial + +89 +00:09:27,300 --> 00:09:32,880 +solution حل غير الحل الصفري مدان في حل غير الحل + +90 +00:09:32,880 --> 00:09:39,580 +الصفري هل يمكن ل x تلاتة انها تبقى zero ليس ممكنية + +91 +00:09:39,580 --> 00:09:47,580 +يبقى since بما ان the system have + +92 +00:10:11,030 --> 00:10:18,250 +X3 لا يمكن أن تساوي 0ما دام X تلاتة لا يمكن أن + +93 +00:10:18,250 --> 00:10:22,130 +تساوي Zero حاصل ضرب الاتنين يساوي Zero إذا ال term + +94 +00:10:22,130 --> 00:10:27,290 +التاني هو اللي ب Zero يبقى هذا بده يعطينا أن A على + +95 +00:10:27,290 --> 00:10:32,670 +تلاتة ناقص أربعة تلاتة هي التي تساوي Zeroأظن لو + +96 +00:10:32,670 --> 00:10:36,470 +ضربت في تلاتة بيصير ال a ناقص أربعة يساوي zero + +97 +00:10:36,470 --> 00:10:42,430 +يبقى ال a تساوي قداش أربعة يبقى لو كانت a باربعة + +98 +00:10:42,430 --> 00:10:48,150 +بيصير عند ا بيصير عند ال system اللي عندنا هذا له + +99 +00:10:48,150 --> 00:10:54,370 +حل غير الحل الصفري واضح هذا الكلام؟ حدا فيكم اللي + +100 +00:10:54,370 --> 00:11:00,640 +هيتساءل؟طب الآن انتهى ال section وليكن أرقام + +101 +00:11:00,640 --> 00:11:07,680 +المسائل تتمرن عليها يبقى باجلة exercises اتنين + +102 +00:11:07,680 --> 00:11:14,780 +اتنين المسائل التالية تلاتة وخمسة وسبعة وتسعة + +103 +00:11:14,780 --> 00:11:23,320 +وحداشر واطناش وتلتاشر ايه؟تلاتاشر بيها يحلنا وهذا + +104 +00:11:23,320 --> 00:11:43,280 +تلاتاشر ا مارنوا يديكوا فيه هي تساول؟ خطوة + +105 +00:11:43,280 --> 00:11:49,170 +هذه قصدك؟ضرب تار اتنين في سالب A مظبوط يبقى بيصير + +106 +00:11:49,170 --> 00:11:55,230 +سالب A و A ب Zero سالب A و سالب تلت ب A على تلاتة + +107 +00:11:55,230 --> 00:12:00,750 +هيها A على تلاتة ناقص أربعة تلاتة طلع A على تلاتة + +108 +00:12:00,750 --> 00:12:04,290 +ناقص أربعة تلاتة الكلام سليم مائة بالمائة لا يوجد + +109 +00:12:04,290 --> 00:12:05,610 +أي خطأ + +110 +00:12:24,050 --> 00:12:32,750 +ننتقل الان الى section 2-4 بعد ما نشط ب2-3 يبقى + +111 +00:12:32,750 --> 00:12:38,630 +بنروح ل section 2-4 2 + +112 +00:12:38,630 --> 00:12:46,830 +-4 اللي هو matrices and + +113 +00:12:46,830 --> 00:12:48,970 +vectors + +114 +00:12:54,430 --> 00:12:59,970 +التحديث هو إذا + +115 +00:12:59,970 --> 00:13:11,010 +كان لدينا نظام عضو عضو من الهواتف + +116 +00:13:11,010 --> 00:13:14,950 +A11X1 + +117 +00:13:19,910 --> 00:13:27,350 +A12X2 A1NXN B1 A21X1 + +118 +00:13:27,350 --> 00:13:33,430 +A22X2 A2NXN + +119 +00:13:33,430 --> 00:13:38,190 +B2 A + +120 +00:13:38,190 --> 00:13:57,690 +M1X1 A M2X2 زائد A M N X N بده ساوي بي M هذا ال + +121 +00:13:57,690 --> 00:14:04,430 +system then then + +122 +00:14:04,430 --> 00:14:10,850 +the matrix المصوفة + +123 +00:14:13,270 --> 00:14:26,830 +العناصرها a11, a12, a1n, a21, a22, a2n نفض + +124 +00:14:26,830 --> 00:14:39,330 +الماشيين لغاية a m1, a m2, a mn it is called + +125 +00:14:42,480 --> 00:14:55,040 +The coefficient matrix of + +126 +00:14:55,040 --> 00:15:00,220 +size M in + +127 +00:15:17,780 --> 00:15:30,040 +الوضع AIG هو المدخل المدخل + +128 +00:15:30,040 --> 00:15:35,060 +في عصر العين في + +129 +00:15:35,060 --> 00:15:39,500 +عصر + +130 +00:15:39,500 --> 00:15:40,240 +العين و + +131 +00:15:50,760 --> 00:15:52,160 +definition + +132 +00:15:56,660 --> 00:15:59,760 +يبقى بدرجة على الخاصية ده قبل أن أنتقل لخاصية + +133 +00:15:59,760 --> 00:16:04,900 +ثانية يبقى بالبلد هيك هذا معناه إيش لو ضربت عدد في + +134 +00:16:04,900 --> 00:16:09,360 +مصوفة يبقى بدي أضرب في جميع عناصر المصوفة بلا + +135 +00:16:09,360 --> 00:16:13,560 +إستثناء يبقى هاي المقصود طب أضرب من اليمين العنصر + +136 +00:16:13,560 --> 00:16:16,400 +ولا من الشمال يبقى من أينما بدك تضرب أضرب ما ده + +137 +00:16:16,400 --> 00:16:20,610 +مراقمبتضرب المصوفة تضرب من اليمين وتضرب من الشمال + +138 +00:16:20,610 --> 00:16:24,870 +لتنين are the same وبالتالي بنضرب هذا الرقم في كل + +139 +00:16:24,870 --> 00:16:29,250 +عنصر من عناصر المصوفة فمثلا لو كان عنصر المصوفة A + +140 +00:16:29,250 --> 00:16:33,090 +بقى بدي تلاتة A بروح بدرب تلاتة في كل عنصر من عنصر + +141 +00:16:33,090 --> 00:16:40,560 +المصوفةاللي في الداخل فبصير 690-3-690315 + +142 +00:16:40,560 --> 00:16:46,400 +وبالتالي هذا معنى ضرب اللي هو عنصر أو ضرب رقم في + +143 +00:16:46,400 --> 00:16:52,520 +مصفوفة نجد الخاصية الثانية من هذه الخواص اللي + +144 +00:16:52,520 --> 00:16:57,560 +بتقول لي ما يأتي if + +145 +00:16:57,560 --> 00:17:02,940 +ال A and ال B are + +146 +00:17:23,790 --> 00:17:34,150 +مثلًا M في N ثم + +147 +00:17:36,220 --> 00:17:47,340 +الـ A زي دي ال B الـ A matrix is a matrix of the + +148 +00:17:47,340 --> 00:17:54,780 +same size of the + +149 +00:17:54,780 --> 00:18:05,000 +same size M في N ماديش + +150 +00:18:05,000 --> 00:18:05,620 +صوت بالمرة + +151 +00:18:23,830 --> 00:18:28,890 +يبقى هذا بتكلم على جمع مصففين بيقول لو كان عند A + +152 +00:18:28,890 --> 00:18:34,910 +وB مصففين لهم نفس ال size اللي هو M في N مثلا يبقى + +153 +00:18:34,910 --> 00:18:39,710 +المجموع تبعهم بيديهوله نفس ال size اللي هو M في M + +154 +00:18:39,710 --> 00:18:47,250 +نعطي مثال تعوضيها for example F + +155 +00:18:48,620 --> 00:18:57,900 +الـ A تساوي مثلا اتنين تلاتة واحد Zero أربعة Zero + +156 +00:18:57,900 --> 00:19:08,300 +سالب واحد سالب اتنين سالب تلاتة and ال B تساويطبعا + +157 +00:19:08,300 --> 00:19:14,280 +واضح ان هذا النظام ما جديش له 2 في 4 يبقى مشان يتم + +158 +00:19:14,280 --> 00:19:18,680 +جمع مع مصوفة تانية بيه بدي يكون نظام كذلك اتنين + +159 +00:19:18,680 --> 00:19:20,440 +كده + +160 +00:19:26,850 --> 00:19:31,890 +أتنين في أربعة يبقى هذا بالضبط تمام يكون هنا اتنين + +161 +00:19:31,890 --> 00:19:39,350 +في أربعة and ال B يساوي Zero تلاتة ناقص واحد اتنين + +162 +00:19:39,350 --> 00:19:45,590 +و هنا واحد تلاتة اتنين خمسة بالشكل اللي عندنا هذا + +163 +00:19:45,590 --> 00:19:54,310 +then لو بداجي أخد ال A زائد ال Bيبقى بيقول الجمع + +164 +00:19:54,310 --> 00:19:59,230 +بنجمع العناصر المتناضرة مع بعضها كيف؟ كالتالي + +165 +00:19:59,230 --> 00:20:03,810 +فباجي بقول الاتنين مع زيرو اللي هي باتنين تلاتة و + +166 +00:20:03,810 --> 00:20:09,310 +تلاتة بستة واحد و ناقص واحد بزيرو اربعة و اتنين + +167 +00:20:09,310 --> 00:20:15,750 +كذلك بستة زيرو واحد بواحد سالب واحد و تلاتة باتنين + +168 +00:20:15,870 --> 00:20:21,070 +سالب اتنين و اتنين اف زيرو سالب تلاتة و خمسة اللي + +169 +00:20:21,070 --> 00:20:29,620 +هو بقداش باتنين لكن لو جيت قلت ال A ناقص ال Bمعنى + +170 +00:20:29,620 --> 00:20:37,960 +هذا الكلام ان هذه a زائد ناقص واحد في b يبقى كأنه + +171 +00:20:37,960 --> 00:20:42,680 +انا بده اضرب ال b في قداش سالب واحد يبقى هذا + +172 +00:20:42,680 --> 00:20:48,280 +الكلام بده يسوي ال a زي ما هي اتنين تلاتة واحد + +173 +00:20:48,280 --> 00:20:54,540 +اربعة Zero سالب واحد سالب اتنين سالب تلاتة سالب + +174 +00:20:54,540 --> 00:20:59,180 +تلاتة بالشكل اللي عندنا هذا زائدبدا اجي على P + +175 +00:20:59,180 --> 00:21:04,060 +واضربها كلها في سالب واحد يبقى Zero سالب تلاتة + +176 +00:21:04,060 --> 00:21:08,680 +واحد سالب اتنين سالب واحد سالب تلاتة سالب اتنين + +177 +00:21:08,680 --> 00:21:16,170 +سالب خمسة يبقى النتيجة بالشكل التالييبقى هي اتنين + +178 +00:21:16,170 --> 00:21:23,110 +وهي zero وهي كمان اتنين وهنا كمان اتنين الصفر + +179 +00:21:23,110 --> 00:21:31,290 +التاني اللي هو سالب واحد وهنا سالب اربعة وهنا كمان + +180 +00:21:31,290 --> 00:21:38,810 +سالب اربعةوهذا اللي هو جد ياش بيظل سالب تمانية + +181 +00:21:38,810 --> 00:21:43,650 +بالشكل اللي عندها ده يبقى هاي جامعة واطارح مصفتين + +182 +00:21:43,650 --> 00:21:47,770 +الجامعة العناص المتناضرة مع بعضها واطارح كذلك + +183 +00:21:47,770 --> 00:21:52,170 +العناص المتناضرة مع بعضها ويجب أن تكون المصفتين من + +184 +00:21:52,170 --> 00:21:57,860 +نفس النظاملكن لو أجمع نظام و نظام و نظام و نظام و + +185 +00:21:57,860 --> 00:21:58,840 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +186 +00:21:58,840 --> 00:22:05,320 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +187 +00:22:05,320 --> 00:22:06,900 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +188 +00:22:06,900 --> 00:22:08,000 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +189 +00:22:08,000 --> 00:22:08,000 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +190 +00:22:08,000 --> 00:22:08,000 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +191 +00:22:08,000 --> 00:22:11,980 +نظام و نظام و نظام و نظام و نظام و نظام و نظام و + +192 +00:22:11,980 --> 00:22:22,120 +نظام و + +193 +00:22:22,120 --> 00:22:22,120 +ن + +194 +00:22:25,850 --> 00:22:36,410 +مثلثات مثلثات مثلثات مثلثات مثلثة مثلثة مثلثة + +195 +00:22:36,410 --> 00:22:38,330 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +196 +00:22:38,330 --> 00:22:41,710 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +197 +00:22:41,710 --> 00:22:41,870 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +198 +00:22:41,870 --> 00:22:41,890 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +199 +00:22:41,890 --> 00:22:41,930 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +200 +00:22:41,930 --> 00:22:47,250 +مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة مثلثة + +201 +00:22:47,250 --> 00:22:50,830 +مثلثة + +202 +00:22:51,360 --> 00:22:58,560 +real numbers then + +203 +00:22:58,560 --> 00:23:10,820 +النقطة الأولى ال a زائد ال b يساوي ال b زائد ال a + +204 +00:23:10,820 --> 00:23:22,120 +النقطة الثانية ال aزائد ال B زائد ال C بدها تساوي + +205 +00:23:22,120 --> 00:23:32,120 +ال A زائد ال B زائد ال C مقطة + +206 +00:23:32,120 --> 00:23:40,660 +تالتة ال A في ال B في ال A بده يساوي A + +207 +00:23:56,380 --> 00:23:59,020 +النقطة الرابعة + +208 +00:24:02,840 --> 00:24:12,980 +زائد الـ B في المصحوف A بيساوي AA زائد BA نقطة + +209 +00:24:12,980 --> 00:24:21,480 +الخامسة الـ C في الـ A زائد الـ B ساوي C في A زائد + +210 +00:24:21,480 --> 00:24:22,800 +C في B + +211 +00:24:58,940 --> 00:25:04,660 +النظرية اللى بين أدينا هذه بتتكلم عن جمع المصوفات + +212 +00:25:04,660 --> 00:25:10,080 +مع بعضها البعض أو ضرب مقدار ثابت فيه مصوفة و جمعه + +213 +00:25:10,080 --> 00:25:15,380 +مع مين مع مصوفة أخرى فبقول لو عندي تلت مصوفات + +214 +00:25:15,380 --> 00:25:19,860 +ديروا بالكوا الرمز الكبير هذا الممصب للمصوفة الرمز + +215 +00:25:19,860 --> 00:25:24,420 +الصغير دائما و أبدا لل real numberفبعدين بقول لو + +216 +00:25:24,420 --> 00:25:30,800 +عندي تلات مصففات A وB وC التلاتة لهم نفس الحجم + +217 +00:25:30,800 --> 00:25:34,080 +اتنين في اتنين يبقى كله اتنين في اتنين تلاتة في + +218 +00:25:34,080 --> 00:25:39,190 +تلاتة خمسة في عشرة كله خمسة في عشرةبيقول كان الـ A + +219 +00:25:39,190 --> 00:25:43,810 +والـ B والـ C are real numbers يبقى أعداد حقيقية + +220 +00:25:43,810 --> 00:25:49,510 +ذنب الـ A زائد الـ B بديه ساوي B زائد الـ A شو + +221 +00:25:49,510 --> 00:25:53,590 +الخاصية هذه بنسميها في رقم الرياضيات؟ خاصية + +222 +00:25:53,590 --> 00:25:58,630 +الإبدال يبقى المقصود في ذلك أن عملية جمع المصحفات + +223 +00:25:58,630 --> 00:26:05,350 +عملية إبدالية A زائد الـ B بديه ساوي B زائد الـ A + +224 +00:26:05,860 --> 00:26:10,820 +النقطة الثانية a زائد ال b زائد ال c ها بدي أجمع a + +225 +00:26:10,820 --> 00:26:15,680 +و b في الأول ثم أجمع النتج إلى c أو العكس أجمع b و + +226 +00:26:15,680 --> 00:26:20,280 +c في الأول ثم أجمع لهمين المصوفين يبقى هذا بيجينا + +227 +00:26:20,280 --> 00:26:27,400 +نسميها خاصية التجميع أو خاصية الدمج إذن عملية جمع + +228 +00:26:27,400 --> 00:26:33,120 +المصوات عملية إدماجية بيجينا نسميها associative + +229 +00:26:33,120 --> 00:26:39,960 +lawCommutative لا قانون الإبدال Associative لا + +230 +00:26:39,960 --> 00:26:46,280 +قانون الدمج أو قانون التجميلالنقطة الثالثة الـ a و + +231 +00:26:46,280 --> 00:26:50,540 +ال b are real numbers بيقولّي لو جيت على المصوف a + +232 +00:26:50,540 --> 00:26:55,440 +ضربت في ال real number b و اللي نتج ضربت فيه ال + +233 +00:26:55,440 --> 00:27:00,160 +real number a تماما كما لو ضربت ال a و ال b as + +234 +00:27:00,160 --> 00:27:03,820 +real numbers في بعض هيطلع real number جديد و لو + +235 +00:27:03,820 --> 00:27:08,950 +طلبه في المصوف a بتطلع نفس النتج هذا أولو بدلت + +236 +00:27:08,950 --> 00:27:13,730 +مكان a b equals b a فهي عملية ضرب ال real numbers + +237 +00:27:13,730 --> 00:27:18,610 +عملية خمسة في ستة هي ستة في خمسة مظبوط هذه أعداد + +238 +00:27:18,610 --> 00:27:23,810 +حقيقية إذا هذه عملية الإفدال عليها صحيحةوبالتالي + +239 +00:27:23,810 --> 00:27:27,970 +ممكن ارجع تانية و اقول بي لحالها وبعدين اضرب ا في + +240 +00:27:27,970 --> 00:27:33,950 +ا والنتج اضربه في مين في بي مافيش مشكلة في حالة + +241 +00:27:33,950 --> 00:27:39,190 +ضرب اي رقم او رقمين ان شاء الله عشرين رقم في مصور + +242 +00:27:39,190 --> 00:27:44,100 +تضرب مين في الاول ماعناه مشكلةبنجي اللي هنا اسمها + +243 +00:27:44,100 --> 00:27:50,200 +distributive law خاصية التوزيع لو عندي two real + +244 +00:27:50,200 --> 00:27:54,720 +numbers و جمعتهم و بدي اضربهم في مين في مصوفة ايه + +245 +00:27:54,720 --> 00:27:58,960 +تماما كما لو ضربت الرقم الأول في ايه و الرقم + +246 +00:27:58,960 --> 00:28:05,130 +التاني في ايه و ثم جمعت النتيجةيبقى a زائد b في + +247 +00:28:05,130 --> 00:28:10,830 +المصوفة a هو a في a زائد b في اتنين نفس العملية + +248 +00:28:10,830 --> 00:28:15,130 +هذا كمان ال associatively constant او real number + +249 +00:28:15,130 --> 00:28:20,490 +على مجموع two matrices يبقى c في a زائد b يساوي c + +250 +00:28:20,490 --> 00:28:26,870 +في a زائد c في bهذه معلومات أولية عن عملية الجمع + +251 +00:28:26,870 --> 00:28:31,690 +والطرح على المصفوفة عملية الجمع هي عملية الطرح + +252 +00:28:31,690 --> 00:28:37,150 +بالضبط تماما وكأنه نفس العملية بس الطرح بيخليها + +253 +00:28:37,150 --> 00:28:41,230 +جمع وبقول كأن المصفوفة بس مضروبة في من؟ في سالب + +254 +00:28:41,230 --> 00:28:46,010 +واحد احنا كنا رفعين عنوان العنوان هذا بقين اقول + +255 +00:28:46,010 --> 00:28:51,150 +matrices andVectors يبقى الأن بدنا نيجي لل vectors + +256 +00:28:51,150 --> 00:28:56,670 +نعرف ما هو المقصود بال vectors طبعا يبقى بدنا نيجي + +257 +00:28:56,670 --> 00:29:09,870 +لعنوان جانب هيك بدنا نقول raw and columns vectors + +258 +00:29:18,270 --> 00:29:23,950 +تبقى المتجهات المتجهات + +259 +00:29:23,950 --> 00:29:31,010 +الصفوف ومتجهات الأعمدة definition تعريف الأول a + +260 +00:29:31,010 --> 00:29:36,250 +matrix with + +261 +00:29:36,250 --> 00:29:39,430 +with + +262 +00:29:39,430 --> 00:29:42,530 +one call and + +263 +00:29:48,970 --> 00:29:54,150 +in rows عمود + +264 +00:29:54,150 --> 00:30:05,430 +واحد و in من الصفوف of the form على الشكل x واحد و + +265 +00:30:05,430 --> 00:30:11,450 +x اتنين و نظل ماشيين لغاية x in بهذا الشكل is + +266 +00:30:11,450 --> 00:30:12,310 +called + +267 +00:30:18,200 --> 00:30:24,520 +and in dimensional + +268 +00:30:24,520 --> 00:30:32,900 +convector + +269 +00:30:32,900 --> 00:30:36,120 +ماحدش + +270 +00:30:36,120 --> 00:30:46,060 +أحسن من حد ندى a matrix with + +271 +00:30:53,740 --> 00:31:17,260 +مع شكل Y1 + +272 +00:31:17,260 --> 00:31:39,500 +و Y2و لغاية yn is called بروح نسميه indimensional + +273 +00:31:39,500 --> 00:31:42,240 +raw vector + +274 +00:31:51,570 --> 00:32:11,330 +for example كمثال على ذلك ال matrix ال + +275 +00:32:11,330 --> 00:32:36,770 +matrix A تساوي A11 A12A1N A21 A22 A2N AM1 AM2 AMN + +276 +00:32:36,770 --> 00:32:47,530 +شكل ان هذا اللي سميها هذه المصفوفة star with size + +277 +00:32:50,360 --> 00:32:57,120 +m في n has + +278 +00:32:57,120 --> 00:33:03,100 +columns + +279 +00:33:03,100 --> 00:33:15,020 +columns vectors columns vectors u1 بده يساوي a11 + +280 +00:33:15,020 --> 00:33:17,620 +a21 + +281 +00:33:19,280 --> 00:33:36,220 +و لغاية am1 و ال U2 بده يساوي a12 a22 am2 + +282 +00:33:36,220 --> 00:33:49,990 +ونظل ماشيين لغاية un اللي هي a1n a2nأن + +283 +00:34:19,440 --> 00:34:26,320 +عند هذه الوصفات الواحدة الواحدة + +284 +00:34:26,320 --> 00:34:30,200 +الواحدة الواحدة الواحدة الواحدة + +285 +00:34:39,070 --> 00:34:47,050 +A12 A1N V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +286 +00:34:47,050 --> 00:34:50,770 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +287 +00:34:50,770 --> 00:34:50,990 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +288 +00:34:50,990 --> 00:34:50,990 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +289 +00:34:50,990 --> 00:34:51,050 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +290 +00:34:51,050 --> 00:34:51,050 +V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 V2 + +291 +00:34:51,050 --> 00:34:55,330 +V2 V2 V2 V2 V2 V2 V2 V2 V2 + +292 +00:34:55,330 --> 00:35:01,870 +V2 V + +293 +00:35:07,990 --> 00:35:30,810 +بالشكل اللي عندنا هذا الروح + +294 +00:35:30,810 --> 00:35:42,180 +نكتب على الشكل التاليA تساوي U1 U2 و لغاية UN + +295 +00:35:42,180 --> 00:35:48,120 +where each + +296 +00:35:48,120 --> 00:36:02,560 +of U1 و U2 و لغاية UN is M dimensionalم + +297 +00:36:02,560 --> 00:36:05,600 +دايمينشينال + +298 +00:36:05,600 --> 00:36:19,940 +م دايمينشينال كلم vectors وكذلك + +299 +00:36:19,940 --> 00:36:42,270 +ال A تساوي V1 V2 لغاية VmWhere each of V1 و V2 و + +300 +00:36:42,270 --> 00:36:50,490 +لغاية VM is an N-dimensional + +301 +00:37:01,910 --> 00:37:06,290 +ان دايمنشينال را فكتر + +302 +00:37:47,410 --> 00:37:52,870 +الان نعود لبعض التعريفات التي تشاهدونها التعريف + +303 +00:37:52,870 --> 00:37:58,750 +الأول هو matrix with one column and n rows عمود + +304 +00:37:58,750 --> 00:38:03,530 +واحد ومجموعة من الصفورة هذا ليس مصطفوش فقط عمود + +305 +00:38:03,530 --> 00:38:07,590 +واحد وصفر اتنين وتلاتة من الصفورة ان من الصفورة في + +306 +00:38:07,590 --> 00:38:12,310 +الشكل لأن هذا بنسميها n-dimensional column vector + +307 +00:38:12,310 --> 00:38:20,880 +يبقىمتجه عمودي له N من الإحداثيات M dimensional + +308 +00:38:20,880 --> 00:38:26,580 +يعني كان فيه N من العناصر تمام اللي بعد Matrix + +309 +00:38:26,580 --> 00:38:33,540 +with one row صف واحد لكن M من الأعمدةيبقى صف واحد + +310 +00:38:33,540 --> 00:38:39,140 +و N من الأعمدة of the form Y1 Y2 يبقى صف واحد + +311 +00:38:39,140 --> 00:38:45,960 +وعمودي 2 3 4 N يبقى بسميه N dimensional row vector + +312 +00:38:49,140 --> 00:38:55,740 +N dimensional call vector مصفوفة عمود مصفوفة صفر + +313 +00:38:55,740 --> 00:39:03,020 +يبقى هذا متجه عمودي وهذا متجه صفري فمثلا لو أخدت + +314 +00:39:03,020 --> 00:39:09,460 +مصفوفة المعاملات هيكون فيهاالـ vector الأول ال + +315 +00:39:09,460 --> 00:39:13,420 +vector التاني ال vector التالت اللي سميته U1 و U2 + +316 +00:39:13,420 --> 00:39:18,540 +و U3 حيكون فيها ال raw vector الصف الأول الصف + +317 +00:39:18,540 --> 00:39:24,280 +التاني الصف رقم M زي ما ديته الرمز V يبقى U + +318 +00:39:24,280 --> 00:39:29,640 +أطلقتها على الصفوف و V أطلقتها على الأعمدة و H + +319 +00:39:29,640 --> 00:39:35,240 +أطلقتها على مين على الصفوف يبقى ممكن أرجع أكتب + +320 +00:39:35,240 --> 00:39:40,140 +المصفوف أستر على الصيغة التاليةيبقى U1 و U2 و لغة + +321 +00:39:40,140 --> 00:39:44,700 +UL طبعا هذا عمود و هذا عمود و هذا عمود و هذا عمود + +322 +00:39:44,700 --> 00:39:49,900 +او بقدر اكتبها على الشكل التالي و كل واحد عبارة عن + +323 +00:39:49,900 --> 00:39:55,260 +مين عبارة عن صف سواء كان هذا و لا هذا الاتنين are + +324 +00:39:55,260 --> 00:40:00,280 +the same هنحاول نعطي أمثلة المرة الجاية على ال two + +325 +00:40:00,280 --> 00:40:03,720 +definitions هذول ان شاء الله تعالى اعطيكوا العفو + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HSZXZRH7pd0_raw.json b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HSZXZRH7pd0_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..5f4cf4a101d02ed67e82b4593dab38a79e5bc56d --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HSZXZRH7pd0_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4759, "start": 19.29, "end": 47.59, "text": "بسم الله الرحمن الرحيم في نهاية المحاضرة الماضية ابتدأنا في section واحد خمسة وهو ال linear first order differential equation وعرفنا ان شكل ال first order linear differential equation على الشكل a node of x في ال y prime زائد a one of x في ال y بدل سوى ال f of x وبعد ذلك رحنا 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ال y to the power n و ال n لا تساوي zero and و كذلك", "tokens": [67, 15790, 831, 5367, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 288, 5835, 30767, 995, 25708, 280, 295, 2031, 8978, 2423, 288, 47525, 2407, 7251, 3794, 995, 45865, 5296, 9505, 295, 2031, 8978, 3714, 32640, 8978, 2423, 288, 281, 264, 1347, 297, 4032, 2423, 297, 20193, 6055, 3794, 995, 45865, 4018, 293, 4032, 9122, 8848, 23275], "avg_logprob": -0.30349577079385015, "compression_ratio": 1.389261744966443, "no_speech_prob": 0.0, "words": [{"start": 410.28, "end": 411.55999999999995, "word": "differential", "probability": 0.4903971354166667}, {"start": 411.55999999999995, "end": 412.84, "word": " equation", "probability": 0.970703125}, {"start": 412.84, "end": 413.94, "word": " المعادلة", "probability": 0.87451171875}, {"start": 413.94, "end": 415.02, "word": " التفاضلية", "probability": 0.95634765625}, {"start": 415.02, "end": 416.26, "word": " y", "probability": 0.529296875}, {"start": 416.26, "end": 416.98, 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"probability": 0.983642578125}, {"start": 717.97, "end": 718.37, "word": " بدها", "probability": 0.6971435546875}, {"start": 718.37, "end": 718.95, "word": " تصير", "probability": 0.7183430989583334}, {"start": 718.95, "end": 719.75, "word": " واحد", "probability": 0.855224609375}, {"start": 719.75, "end": 720.07, "word": " على", "probability": 0.79638671875}, {"start": 720.07, "end": 720.73, "word": " واحد", "probability": 0.98779296875}, {"start": 720.73, "end": 721.97, "word": " ناقص", "probability": 0.910888671875}, {"start": 721.97, "end": 722.43, "word": " N", "probability": 0.461669921875}, {"start": 722.43, "end": 722.79, "word": " في", "probability": 0.83544921875}, {"start": 722.79, "end": 722.91, "word": " ال", "probability": 0.46142578125}, {"start": 722.91, "end": 723.27, "word": " U", "probability": 0.794921875}, {"start": 723.27, "end": 723.87, "word": " prime", "probability": 0.375244140625}, {"start": 723.87, "end": 725.13, "word": " زائد", "probability": 0.8123372395833334}, {"start": 725.13, "end": 725.47, "word": " P", "probability": 0.95703125}, {"start": 725.47, "end": 725.95, "word": " of", "probability": 0.8349609375}, {"start": 725.95, "end": 726.47, "word": " X", "probability": 0.97705078125}, {"start": 726.47, "end": 726.71, "word": " في", "probability": 0.95556640625}, {"start": 726.71, "end": 727.01, "word": " ال", "probability": 0.904296875}, {"start": 727.01, "end": 727.37, "word": " U", "probability": 0.9638671875}, {"start": 727.37, "end": 728.23, "word": " بدها", "probability": 0.881591796875}, {"start": 728.23, "end": 728.95, "word": " تساوي", "probability": 0.970458984375}, {"start": 728.95, "end": 729.39, "word": " Q", "probability": 0.810546875}, {"start": 729.39, "end": 729.81, "word": " of", "probability": 0.8955078125}, {"start": 729.81, "end": 730.15, "word": " X", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 29, "seek": 76040, "start": 732.02, "end": 760.4, "text": "هذا متغير ولا رقم؟ رقم لأن هو الـS7 الـY1-N إذا بدي أضغط في هذا الرقم يبقى بيصير المعادلة U prime زائد واحد ناقص N في P of X في U يساوي واحد ناقص N في Q of X إذا هذا بنيت رقم وهذا رقم", "tokens": [3224, 15730, 44650, 17082, 13546, 49429, 12602, 4587, 2304, 22807, 12602, 4587, 2304, 5296, 33456, 31439, 2423, 39184, 50, 22, 2423, 39184, 56, 16, 12, 45, 11933, 15730, 4724, 16254, 5551, 11242, 17082, 9566, 8978, 23758, 34892, 4587, 2304, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 9673, 3615, 18513, 37977, 624, 5835, 30767, 16373, 3215, 36764, 24401, 8717, 995, 4587, 9381, 426, 8978, 430, 295, 1783, 8978, 624, 7251, 3794, 995, 45865, 36764, 24401, 8717, 995, 4587, 9381, 426, 8978, 1249, 295, 1783, 11933, 15730, 23758, 4724, 22653, 2655, 12602, 4587, 2304, 37037, 15730, 12602, 4587, 2304], "avg_logprob": -0.26325758298238117, "compression_ratio": 1.6129032258064515, "no_speech_prob": 0.0, "words": [{"start": 732.02, "end": 732.62, "word": "هذا", "probability": 0.807373046875}, {"start": 732.62, "end": 733.48, 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X", "probability": 0.99658203125}, {"start": 756.74, "end": 757.48, "word": " إذا", "probability": 0.77490234375}, {"start": 757.48, "end": 757.82, "word": " هذا", "probability": 0.70068359375}, {"start": 757.82, "end": 758.4, "word": " بنيت", "probability": 0.612060546875}, {"start": 758.4, "end": 759.08, "word": " رقم", "probability": 0.9970703125}, {"start": 759.08, "end": 759.8, "word": " وهذا", "probability": 0.844482421875}, {"start": 759.8, "end": 760.4, "word": " رقم", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 30, "seek": 78886, "start": 760.64, "end": 788.86, "text": "لا يغير من شكل المعادلة السؤال هو المعادلة دي شو أصبح شكلها linear مظبوط هي y prime function في x في ال y ال y أجابتها ل u يسوى ل q of x فقط لغير يبقى هذه linear first order differential", "tokens": [15040, 7251, 17082, 13546, 9154, 13412, 28820, 9673, 3615, 18513, 37977, 21136, 33604, 6027, 31439, 9673, 3615, 18513, 37977, 11778, 1829, 13412, 2407, 5551, 9381, 49628, 13412, 28820, 11296, 8213, 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المعادلة", "probability": 0.927978515625}, {"start": 765.38, "end": 765.62, "word": " دي", "probability": 0.5452880859375}, {"start": 765.62, "end": 765.74, "word": " شو", "probability": 0.649658203125}, {"start": 765.74, "end": 766.1, "word": " أصبح", "probability": 0.95361328125}, {"start": 766.1, "end": 766.92, "word": " شكلها", "probability": 0.9661458333333334}, {"start": 766.92, "end": 767.6, "word": " linear", "probability": 0.381591796875}, {"start": 767.6, "end": 769.46, "word": " مظبوط", "probability": 0.791064453125}, {"start": 769.46, "end": 769.9, "word": " هي", "probability": 0.472412109375}, {"start": 769.9, "end": 770.2, "word": " y", "probability": 0.56640625}, {"start": 770.2, "end": 770.82, "word": " prime", "probability": 0.313720703125}, {"start": 770.82, "end": 771.64, "word": " function", "probability": 0.80078125}, {"start": 771.64, "end": 771.98, "word": " في", "probability": 0.95556640625}, {"start": 771.98, "end": 772.44, "word": " x", "probability": 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808.04, "word": " هو", "probability": 0.8876953125}, {"start": 808.04, "end": 808.82, "word": " قبل", "probability": 0.989013671875}, {"start": 808.82, "end": 810.18, "word": " قليل", "probability": 0.9910481770833334}, {"start": 810.18, "end": 811.12, "word": " واضحة", "probability": 0.9423828125}, {"start": 811.12, "end": 811.2, "word": " اظن", "probability": 0.7591145833333334}, {"start": 811.2, "end": 811.54, "word": " هذه", "probability": 0.630859375}, {"start": 811.54, "end": 813.04, "word": " طيب", "probability": 0.8019205729166666}, {"start": 813.04, "end": 813.54, "word": " نبدأ", "probability": 0.9124348958333334}, {"start": 813.54, "end": 813.96, "word": " نعطي", "probability": 0.986328125}, {"start": 813.96, "end": 814.58, "word": " امثلة", "probability": 0.9014892578125}, {"start": 814.58, "end": 815.18, "word": " على", "probability": 0.7509765625}, {"start": 815.18, "end": 815.36, "word": " ال", "probability": 0.97021484375}, {"start": 815.36, "end": 815.88, "word": " Bernoulli", "probability": 0.7952473958333334}, {"start": 815.88, "end": 816.68, "word": " equation", "probability": 0.96484375}, {"start": 816.68, "end": 817.82, "word": " يبقى", "probability": 0.9837646484375}, {"start": 817.82, "end": 818.38, "word": " example", "probability": 0.92431640625}, {"start": 818.38, "end": 818.92, "word": " one", "probability": 0.53271484375}], "temperature": 1.0}, {"id": 32, "seek": 85482, "start": 831.1, "end": 854.82, "text": "Solve the differential equation المعادلة التفاضلية Y'-2Sin X كل هذا في Y سيكون ناقص 2Sin X", "tokens": [50, 37361, 264, 15756, 5367, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 398, 6, 12, 17, 50, 259, 1783, 28242, 23758, 8978, 398, 8608, 1829, 30544, 8717, 995, 4587, 9381, 568, 50, 259, 1783], "avg_logprob": -0.39294762224764435, "compression_ratio": 1.0336134453781514, "no_speech_prob": 0.0, "words": [{"start": 831.1, "end": 832.5, "word": "Solve", "probability": 0.57489013671875}, {"start": 832.5, "end": 833.9, 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قلنا تتكون من ثلاث + +5 +00:00:35,730 --> 00:00:40,370 +نقاط، النقطة الأولى بده أشيل كل عنصر في المصفوفة A + +6 +00:00:40,370 --> 00:00:45,530 +I J وحط بدل الـ cofactor المناظر له + +7 +00:00:49,180 --> 00:00:55,200 +الخطوة الثانية بده يجيب مدور هذه المصفوفة الناتجة + +8 +00:00:55,200 --> 00:01:02,080 +الخطوة الثالثة بده يجيب محدد المصفوفة الأصلية + +9 +00:01:02,080 --> 00:01:07,060 +ويقول معكوس المصفوفة يساوي واحد على محدد المصفوفة + +10 +00:01:07,060 --> 00:01:11,940 +في الـ Transpose اللي جيبناه في الخطوة الثانية، بها + +11 +00:01:11,940 --> 00:01:17,160 +هذا بيكون جيبنا ميه؟ جيبنا معكوس المصفوفة، واضح + +12 +00:01:17,160 --> 00:01:19,920 +كلامي؟ يبقى هاي الخطوات الثلاث اللي كتبتيها في + +13 +00:01:19,920 --> 00:01:24,500 +المحاضرة السابقة قبل ساعة وشوية، تمام؟ لما بدنا + +14 +00:01:24,500 --> 00:01:27,500 +نطبقها عمليا، المصفوفة اللي قدامنا هادي يا بنات + +15 +00:01:27,500 --> 00:01:32,970 +أوجدنا المعكوس تبعها بالطريقة الأولى اللي هي طريقة + +16 +00:01:32,970 --> 00:01:37,610 +أنّه المصوفة الموسعة وأحولها إلى مصفوفتين، طرف + +17 +00:01:37,610 --> 00:01:40,450 +اليمين والطرف الشمال، والطرف اليمين بيكون هي + +18 +00:01:40,450 --> 00:01:45,190 +المعكوسة، الآن هحل نفس السؤال لكن بِهَمه بالطريقة + +19 +00:01:45,190 --> 00:01:48,830 +الجديدة ونثبت أن إجابتين الاثنين ما لهم نفس + +20 +00:01:48,830 --> 00:01:54,500 +الشيء، إذا أنا بداجي للحل، بداجي للمصفوفة اللي عندي + +21 +00:01:54,500 --> 00:02:01,380 +يبقى في هذه المصفوفة بدي أروح أشيل كل عنصر من + +22 +00:02:01,380 --> 00:02:06,340 +عناصر المصفوفة وأكتب بداله مين؟ وأكتب بداله الـ + +23 +00:02:06,340 --> 00:02:11,060 +cofactor تبعه أو العامل المرافق له، يبقى لو جيت + +24 +00:02:11,060 --> 00:02:16,300 +للمصفوفة الأولى، بداجي أقول هذه المصفوفة الأولى، بدي + +25 +00:02:16,300 --> 00:02:20,770 +أشيل الواحد يا بنات حسب قاعدة الإشارات، شرطته بالموجب + +26 +00:02:20,770 --> 00:02:25,370 +يبقى أشطب صفه وعموده، يبقى 8 ناقص 2، يبقى + +27 +00:02:25,370 --> 00:02:31,770 +كم؟ 6، يبقى عنصر 3 حسب قاعدة الإشارات + +28 +00:02:31,770 --> 00:02:37,530 +شرطته هي سالبة، يبقى هذه سالبة، يبقى أشطب صفه و + +29 +00:02:37,530 --> 00:02:44,130 +عموده، صفه وعموده، يبقى 0 زائد 2 يبقى ناقص + +30 +00:02:44,130 --> 00:02:49,710 +2، بالدالي للعنصر الثالث -1، اشطب صفه و + +31 +00:02:49,710 --> 00:02:56,450 +عموده، بيظل 0 زائد 1 يبقى بـ 1 حسب قاعدة + +32 +00:02:56,450 --> 00:02:57,570 +الإشارات + +33 +00:03:00,950 --> 00:03:05,930 +بتجي للصف الثاني، الصف الثاني بتجي لـ 0 حسب قاعدة + +34 +00:03:05,930 --> 00:03:10,910 +الإشارات، شرطته مالها؟ سالبة، يبقى بدنا نشطب صفه و + +35 +00:03:10,910 --> 00:03:16,450 +عموده، 3 في 8 بـ 24 ناقص 0 يبقى + +36 +00:03:16,450 --> 00:03:22,090 +بـ 24، العنصر اللي بعده حسب قاعة الإشارات + +37 +00:03:22,090 --> 00:03:27,870 +شرطته موجبة، يبقى بالنشط بصفه عمودي، يبقى 8 ناقص + +38 +00:03:27,870 --> 00:03:32,710 +1، اللي هو بيطلع بقداش؟ بـ 7، حسب قاعة الإشارات + +39 +00:03:32,710 --> 00:03:36,990 +اللي بعده، اللي شرطته السالب، يبقى بالروح نشط بصفه + +40 +00:03:36,990 --> 00:03:43,750 +وعموده، يبقى 0 زائد 3 يبقى بصير ناقص 3 + +41 +00:03:44,270 --> 00:03:48,630 +بالدالي للصف الثالث حسب قاعد الإشارات شرطته بالموجب + +42 +00:03:48,630 --> 00:03:54,950 +يبقى بالداشطه بصفه عموده 6 زائد 1، واللي هي + +43 +00:03:54,950 --> 00:03:59,890 +قداش؟ 7، بالدالي للعنصر بعده حسب قاعد الإشارات + +44 +00:03:59,890 --> 00:04:06,490 +شرطته السالب، نشطه بصفه وعموده يبقى 2، واللي بعده + +45 +00:04:06,490 --> 00:04:10,890 +0 يبقى ما عنديش إلا 2، نيجي العنصر الثالث حسب + +46 +00:04:10,890 --> 00:04:14,950 +قرص الشرط، شرطته موجبة، من نشطه بصفه وعموده يبقى 1 + +47 +00:04:14,950 --> 00:04:19,110 +ناقص 3، اللي يبقى داشت بـ 1، بالشكل اللي عندنا + +48 +00:04:19,110 --> 00:04:26,170 +هذا، يبقى هذه الخطوة الأولى، الخطوة الثانية بدي أجيب + +49 +00:04:26,170 --> 00:04:28,030 +له، للمصفوفة به + +50 +00:04:40,960 --> 00:04:45,680 +ببببببببببببببب يبقى بدي أجيب لـ Transpose بالنسبة + +51 +00:04:45,680 --> 00:04:50,300 +إليها، يبقى هذا الكلام بدي يساوي المصوفة على الشكل + +52 +00:04:50,300 --> 00:04:55,340 +التالي، الصف الأول بدي يصير العمود الأول، الصف + +53 +00:04:55,340 --> 00:05:02,040 +الثاني بدي يصير العمود الثاني، الصف الثالث بدي يصير + +54 +00:05:02,040 --> 00:05:07,220 +العمود الثالث، 6، -2، 1 بالشكل اللي عندنا هنا + +55 +00:05:07,880 --> 00:05:12,380 +يبقى هذه المصوفة بيحصلنا عليها من خطوتين، الخطوة + +56 +00:05:12,380 --> 00:05:16,920 +الأولى، استبدلنا كل عنصر بالـ cofactor تبعه، خطوة + +57 +00:05:16,920 --> 00:05:21,220 +ثانية، جيبنا لـ Transpose لِلمصفوفة الناتجة، بقيت + +58 +00:05:21,220 --> 00:05:26,640 +علينا الخطوة، مش هجيب الخطوة الأخيرة، بلزمني محدد + +59 +00:05:26,640 --> 00:05:31,920 +المصفوفة A، إذا بروح بقوله بدي أجيب له determinant + +60 +00:05:31,920 --> 00:05:36,740 +للمصفوفة A، يبقى هذه الخطوة الأولى، وهذه الخطوة + +61 +00:05:36,740 --> 00:05:40,740 +الثانية يا بنات، بتجي للخطوة الثالثة determinant + +62 +00:05:40,740 --> 00:05:49,560 +لِ A، بتساوي المحدد بتجي لِ A الأصلية؟ 1، 3، -1، 0، 1، 2 + +63 +00:05:49,560 --> 00:05:58,260 +-1، 0، 8 بالشكل اللي عندنا، بدا نفك المصفوفة باستخدام + +64 +00:05:58,260 --> 00:06:04,320 +عناصر العمود الأول مثلًا، يبقى هذا الكلام 1 فيه + +65 +00:06:04,320 --> 00:06:10,140 +نشطب صفه عموده، يبقى 8 ناقص 0، اللي بعده + +66 +00:06:10,140 --> 00:06:16,520 +ناقص 0، زائد ناقص 1 فيه، أشطب بصفه عمود، بيصير + +67 +00:06:16,520 --> 00:06:24,800 +6 زائد 1، يبقى 6 زائد 1، الشكل عن هنا يبقى + +68 +00:06:24,800 --> 00:06:30,760 +هنا 8، وهنا ناقص 7، يبقى الجواب كده ايش؟ 1 + +69 +00:06:30,760 --> 00:06:37,140 +صحيح، يبقى الـ A inverse يبقى 1 على الـ + +70 +00:06:37,140 --> 00:06:43,760 +determinant للـ A في المصفوفة B، يبقى 1 على 1 + +71 +00:06:43,760 --> 00:06:48,840 +في المصفوفة B اللي طلعت اللي هي 6، -4، + +72 +00:06:48,840 --> 00:06:57,020 +24، 7، -2، 7، -3، 1 بالشكل اللي عندنا، طبعًا هذه هي نفسها + +73 +00:07:04,230 --> 00:07:12,210 +الهمين، 6، -4، 24، 7، -2، 7، -3، 1 + +74 +00:07:12,210 --> 00:07:19,210 +7، -2، 1، -3، 1، طلعت في + +75 +00:07:19,210 --> 00:07:22,170 +النتيجة هذه، والنتيجة اللي أوجدناها في المحاضرة + +76 +00:07:22,170 --> 00:07:26,210 +السابقة الاثنين are the same، يبقى نفس النتيجة + +77 +00:07:26,210 --> 00:07:30,970 +بالحرف الوعيد، إذا سواء استخدمت الطريقة الأولى في + +78 +00:07:30,970 --> 00:07:34,870 +إيجاد معكوس المصفوفة أو استخدمت الطريقة الثانية في + +79 +00:07:34,870 --> 00:07:41,840 +إيجاد معكوس المصفوفة الاثنين are the same، تمام؟ طيب + +80 +00:07:41,840 --> 00:07:47,940 +بدنا نيجي الآن بعد ما انتهينا من ذلك نعطيكي كمان + +81 +00:07:47,940 --> 00:07:56,920 +مثال، المثال بيقول ما يأتي، example، find + +82 +00:07:56,920 --> 00:08:09,550 +the inverse of الـ A تساوي اللي هو مين؟ الـ A تساوي + +83 +00:08:09,550 --> 00:08:14,810 +2، 3، 1، 4 بالشكل اللي عندنا هذا + +84 +00:08:14,810 --> 00:08:18,210 +solution + +85 +00:08:18,210 --> 00:08:31,970 +طلبتي + +86 +00:08:31,970 --> 00:08:42,480 +ايش؟ هادي 1 على الـ determinant في الـ B، واحدة + +87 +00:08:42,480 --> 00:08:45,860 +واحدة بس ناس ما عيش بتقول تاني عيدي تاني، هيقولنا + +88 +00:08:45,860 --> 00:08:49,920 +1 على الـ determinant في B، B اللي هي هادي، لأن + +89 +00:08:49,920 --> 00:08:54,580 +كاتب عليها Transpose، لسه بدي أحولها، فبكتب هادي + +90 +00:08:54,580 --> 00:09:02,110 +تمام؟ طيب نجي يالا كل واحد يتعلمك بالاسمة وإياك + +91 +00:09:02,110 --> 00:09:05,650 +واحدة، تعلم قدام اسمه، واحدة ثانية دي يا رب العالمين، فضل + +92 +00:09:05,650 --> 00:09:08,290 +يالا، تعلم اسمك باسم المحاضرة هادي + +93 +00:09:12,560 --> 00:09:16,100 +طيب، بدنا نيجي للمصفوفة اللي قدامنا يا بنات، هذه + +94 +00:09:16,100 --> 00:09:22,160 +المصفوفة 2×2 وليست 3×3 كما كانت المصفوفة قبل قليل، + +95 +00:09:22,160 --> 00:09:26,580 +تمام؟ لكن أنا بدي أحاول أحل بنفس الطريقة اللي + +96 +00:09:26,580 --> 00:09:31,700 +اتبعت هنا قبل قليل، فباجي أول خطوة، بدي أجيب الـ + +97 +00:09:31,700 --> 00:09:33,020 +Determinant + +98 +00:09:34,840 --> 00:09:40,620 +يبقى المحدد 2، 3، 1، 4، 8 ناقص + +99 +00:09:40,620 --> 00:09:46,980 +3، ويساوي كم؟ 5، يبقى هذا قيمة المحدد يساوي + +100 +00:09:46,980 --> 00:09:53,520 +5، بعد هيك بدي أجي لِلمصفوفة اللي عندي واستبدل كل + +101 +00:09:53,520 --> 00:10:01,000 +عنصر بالـ cofactor المناظر له، يبقى باجي بقوله الآن + +102 +00:10:01,000 --> 00:10:04,420 +بدي أجى للمصفوفة اللي عندنا هذه وبدي أجيب الـ + +103 +00:10:04,420 --> 00:10:10,460 +cofactor، يبقى بدي أشيل 2 وأشطب صف وعمود وبـ + +104 +00:10:10,460 --> 00:10:15,580 +يضل قداش عندنا؟ 4 بس، يبقى جاهز بحط 4 زي ما هي + +105 +00:10:15,580 --> 00:10:20,000 +وحسب قاعدة الإشارات العنصر هذا إشارته بالمين؟ + +106 +00:10:20,000 --> 00:10:24,560 +بالموجب، الآن بدي أروح للعنصر بعده اللي هو الـ 3 + +107 +00:10:24,560 --> 00:10:29,440 +يبقى بدي أشطب صفه وعموده، بيضل قداش؟ 1 بس، حسب + +108 +00:10:29,440 --> 00:10:38,060 +قاعدة الإشارات، الإشارة مالها؟ بالسالب، بدي أشطب صفه + +109 +00:10:38,060 --> 00:10:42,900 +و عموده، بيضل قداش؟ 3 بس، حسب قاعدة الإشارات + +110 +00:10:42,900 --> 00:10:50,060 +الإشارة بالسالب، تمام؟ بالداجل العنصر 4، رشط بصفه + +111 +00:10:50,060 --> 00:10:57,320 +و عموده، بيضله كده 2، وحسب قاعدة الإشارات موجب + +112 +00:10:57,320 --> 00:11:03,560 +تمام، طيب أنا بدي أروح بدي لترانسبوز تبعها، يبقى + +113 +00:11:03,560 --> 00:11:10,220 +بكتب عليها ترانسبوز وبروح بسميها المصوفة B تمام + +114 +00:11:10,220 --> 00:11:18,020 +مين؟ لترانسبوز تبعها يساوي اللي هو الصف الأول بده + +115 +00:11:18,020 --> 00:11:23,020 +يصير العمود الأول، الصف الثاني بده يصير العمود + +116 +00:11:23,020 --> 00:11:28,220 +الثاني، بالشكل اللي عندنا هذا، بعد ذلك بدي أروح أجيب + +117 +00:11:28,220 --> 00:11:35,360 +معكوس المصفوفة A من الصيغة 1 على محدد الـ A في + +118 +00:11:35,360 --> 00:11:50,140 +المصفوفة B، يبقى 1 على 5 في المصفوفة B، 4، -3، -1، 2، يا + +119 +00:11:50,140 --> 00:11:55,400 +بتخليها زي ما هي، يا إما بتدخليها عليها وتقوليلي هذه + +120 +00:11:55,400 --> 00:12:02,400 +4 أخماس، ناقص 3 أخماس، وهنا ناقص خمس، وهنا + +121 +00:12:02,400 --> 00:12:08,820 +خمسين، بالشكل اللي عندنا هذا، طيب + +122 +00:12:10,080 --> 00:12:14,680 +بصوا، صبروا شوية، لسه ما خلصتش يعني، احنا هيك جيبنا + +123 +00:12:14,680 --> 00:12:19,800 +المعكوس تمامًا مئة بالمئة بدون أي مشاكل، السؤال + +124 +00:12:19,800 --> 00:12:25,900 +اللي بده أطرحه، طب خليني ندقق النظر في المصفوفة B + +125 +00:12:25,900 --> 00:12:31,960 +هذه ونشوف نقارنها بالمصفوفة الأصلية، لو جيت لي + +126 +00:12:31,960 --> 00:12:37,590 +المصفوفة الأصلية بلاحظ بدلت عناصر القطر الرئيسي + +127 +00:12:37,590 --> 00:12:43,550 +مكان بعض وغيرت إشارات عناصر القطر الثانوي، مظبوط + +128 +00:12:43,550 --> 00:12:48,730 +ولا لأ؟ إذا من الآن فصاعدًا يا بنات، إذا بدي أجيب + +129 +00:12:48,730 --> 00:12:53,910 +المصفوفة B هادي، ما في داعي أن أذهب وأبدأ أحسب من أول وجديد + +130 +00:12:53,910 --> 00:12:58,050 +يبقى بس بدلي عناصر القطر الرئيسي مكان بعض + +131 +00:12:58,050 --> 00:13:01,990 +مليون متشين، عناصر القطر الثانوي خليهم زي ما هم + +132 +00:13:01,990 --> 00:13:05,790 +بس حطينهم بشارتهم السالبة، بكون جيبتي المصفوفة B، ايش ضايل + +133 +00:13:05,790 --> 00:13:10,490 +عليه؟ ضايل عليه أجيب قداش محدد المصفوفة A وأضرب + +134 +00:13:10,490 --> 00:13:13,630 +1 على قيمة المحدد في هذه المصفوفة، بكون جيبتي + +135 +00:13:13,630 --> 00:13:19,870 +المعكوس، بس هذه للمصفوفة اللي نظامها 2 في 2 + +136 +00:13:20,110 --> 00:13:26,330 +واللي الـ inverse تبعها exist مش لأي مصفوفة، يبقى + +137 +00:13:26,330 --> 00:13:32,270 +شرطين، المعكوس هذا ما له موجود؟ اثنين، ويكون نظامها + +138 +00:13:32,270 --> 00:13:38,990 +2 في 2، ماشي؟ في أي تساؤل؟ خلاصنا عظمنا + +139 +00:13:38,990 --> 00:13:47,050 +جابنا تساؤلك؟ كما أنت سؤالة، تفضلي إذا + +140 +00:13:47,050 --> 00:13:50,910 +الـ determinant سالب والله موجب والله كسر ايش ما + +141 +00:13:50,910 --> 00:13:54,750 +يكون، يكون لا دخلة له في الموضوع، 1 على المحدد + +142 +00:13:54,750 --> 00:14:00,330 +باجي واللي جوا جوا المصفوفة زي ما هي، لحد هيك بيكون + +143 +00:14:00,330 --> 00:14:06,230 +انتهى هذا الـ section، ولا يكون أرقام المسائل اللي + +144 +00:14:06,230 --> 00:14:13,810 +هي exercises، اللي هو 12 المسائل التالية + +145 +00:14:13,810 --> 00:14:22,110 +اللي هي 1 و3 و5 و7 ومن 10 لغاية + +146 +00:14:22,110 --> 00:14:29,650 +15، وبنروح لـ additional exercises، additional + +147 +00:14:29,650 --> 00:14:37,490 +exercises وبدنا المسائل من 1 لغاية 8، لكن في + +148 +00:14:37,490 --> 00:14:41,870 +المقابل في بعض الأسئلة النظرية في الـ Additional + +149 +00:14:41,870 --> 00:14:49,670 +Exercises، بدي أروح أحل هذه الأسئلة حالها كالتالي + +150 +00:15:05,220 --> 00:15:11,500 +مين اللي بتسأل السؤال؟ كيف؟ وين ما بدك؟ لو كان الـ + +151 +00:15:11,500 --> 00:15:14,120 +system معين، عدد الـ unknowns فيه بيساوي عدد + +152 +00:15:14,120 --> 00:15:18,040 +المعادلات، بقدر أقول مية بالمية إنه خلاها؟ لأ + +153 +00:15:18,040 --> 00:15:21,180 +طيب، + +154 +00:15:21,180 --> 00:15:23,840 +على أي حال، بدنا نيجي لـ exercises + +155 +00:15:30,340 --> 00:15:41,080 +12، page صفحة 145 لغاية 1 + +156 +00:15:41,080 --> 00:15:49,940 +46، السؤال 12 بيقول ما يأتي، if الـ a + +157 +00:15:49,940 --> 00:15:54,500 +is non-singular + +158 +00:15:56,270 --> 00:16:08,370 +non-singular matrix show that بيّن إن الـ A + +159 +00:16:08,370 --> 00:16:09,470 +transpose + +160 +00:16:15,830 --> 00:16:25,890 +الكل inverse يساوي A inverse transpose بالشكل + +161 +00:16:25,890 --> 00:16:30,670 +اللي عندنا هنا، solution + +162 +00:16:39,690 --> 00:16:45,290 +الآن بدي أحلك مجموعة من الأسئلة عن نظرية على هذا + +163 +00:16:45,290 --> 00:16:49,510 +الـ section، الأسئلة + +164 +00:16:49,510 --> 00:17:03,870 +هذه موجودة كلها في الكتاب، هو نفسه + +165 +00:17:03,870 --> 00:17:09,850 +بالضبط تمامًا كما لو جبت المعكوس أولًا ثم جبت المدور + +166 +00:17:09,850 --> 00:17:15,730 +من المصفوفة الناتجة، يبقى A inverse transpose هو A + +167 +00:17:15,730 --> 00:17:21,170 +transpose inverse، تمام؟ بنقوله بسيطة، احنا عندنا الـ + +168 +00:17:21,170 --> 00:17:29,310 +A is non-singular، يبقى هذا أيش + +201 +00:20:36,530 --> 00:20:40,490 +inverse أظن + +202 +00:20:40,490 --> 00:20:46,870 +هو المطلوب مش هي اللي بدنا نثبته؟ خلصنا أيضا، صعب؟ + +203 +00:20:47,520 --> 00:20:52,020 +والهجر أخذنا تعريفه non-singular يبقى المعكوس موجود + +204 +00:20:52,020 --> 00:20:58,160 +عرفنا المعكوس أخذنا الـTranspose وعملنا المساواة + +205 +00:20:58,160 --> 00:21:02,980 +ليس إلا لو طلعت معانا على طول القاطع ما عندناش مشكلة + +206 +00:21:02,980 --> 00:21:09,700 +يبقى هذا كان سؤال 12 عندك من الكتاب، ننتقل لسؤال 13 + +207 +00:21:09,700 --> 00:21:18,770 +اللي وراه مباشرة، هذا سؤال 13 ثلاث عشرة، بيقول افترض أن + +208 +00:21:18,770 --> 00:21:25,550 +الـA والـB بيكون بيكون بيكون بيكون بيكون بيكون + +209 +00:21:25,550 --> 00:21:26,290 +بيكون بيكون بيكون بيكون بيكون بيكون بيكون بيكون + +210 +00:21:26,290 --> 00:21:27,250 +بيكون بيكون بيكون بيكون بيكون بيكون بيكون بيكون + +211 +00:21:27,250 --> 00:21:28,650 +بيكون بيكون بيكون بيكون بيكون بيكون بيكون بيكون + +212 +00:21:28,650 --> 00:21:28,890 +بيكون بيكون بيكون بيكون بيكون بيكون بيكون بيكون + +213 +00:21:28,890 --> 00:21:37,850 +بيكون بيكون بيكون بيكون بيكون بيكون بي + +214 +00:21:37,990 --> 00:21:44,850 +the same order من نفس الرتبة أو نفس النظام + +215 +00:21:44,850 --> 00:21:54,370 +بيقول لـF إذا كان الـC إذا كان المصفوفة C بدها + +216 +00:21:54,370 --> 00:22:04,540 +تساوى، حصل الضرب F، show that، بيّن لي أن + +217 +00:22:04,540 --> 00:22:11,920 +الـC inverse بدها تساوي B inverse في الـA inverse + +218 +00:22:11,920 --> 00:22:24,480 +نرجع + +219 +00:22:24,480 --> 00:22:30,110 +لسؤالنا مرة ثانية، السؤال بيقول لو كان كل من A وB + +220 +00:22:30,110 --> 00:22:34,490 +non singular matrices يبقى محدد كل واحدة فيهم ما له؟ + +221 +00:22:34,490 --> 00:22:40,950 +لا يساوي صفر، وتنتهي من نفس الورقة، قال لو كان الـC + +222 +00:22:40,950 --> 00:22:48,030 +حصل لضرب A في B، بدي أثبت أن المعكوس تبع المصفوفة C + +223 +00:22:48,030 --> 00:22:53,730 +هو الـB inverse في الـA inverse، طب هو قال هل الـA + +224 +00:22:53,730 --> 00:23:01,550 +وB لها معكوس، ما قال لي، أنا بدي أثبت أن لها معكوس + +225 +00:23:01,550 --> 00:23:05,670 +وبعدين أروح أثبت أن المعكوس هذا بيساوي بعضه، صح ولا + +226 +00:23:05,670 --> 00:23:12,650 +لا، بقوله بسيطة جدا، إذا أنا بدي أجي للـsolution بدي + +227 +00:23:12,650 --> 00:23:22,710 +أجي للمعطيات، الـA والـB are non singular هذا + +228 +00:23:22,710 --> 00:23:28,580 +إيش معناه يا بنات non singular؟ هذا معناه أن الـ + +229 +00:23:28,580 --> 00:23:34,780 +determinant للـA لا يساوي صفر، والـdeterminant + +230 +00:23:34,780 --> 00:23:40,640 +للـB لا يساوي صفر، صح؟ + +231 +00:23:41,180 --> 00:23:47,260 +طب لو ضربت اثنين في بعض، يبقى هذا بدو يعطينا أن الـ + +232 +00:23:47,260 --> 00:23:53,400 +determinant للـA في الـdeterminant للـB ما له؟ لا + +233 +00:23:53,400 --> 00:24:01,170 +يساوي صفر، هذا معناه أنه حاصل الضرب، هذا الـ + +234 +00:24:01,170 --> 00:24:05,170 +determinant للـA في الـdeterminant للـB اللي بدو + +235 +00:24:05,170 --> 00:24:10,550 +يساوي الـdeterminant للـA في B لا يساوي صفر + +236 +00:24:10,550 --> 00:24:18,090 +تمام؟ هذا معناه إيش؟ معناه أن الـA في B is non + +237 +00:24:18,090 --> 00:24:28,870 +singular، هذا معناه أن الـA B inverse exist + +238 +00:24:31,040 --> 00:24:37,780 +يبقى المعكوس هذا ما له؟ موجود، طيب هو بيقول لو كان الـ + +239 +00:24:37,780 --> 00:24:43,040 +C تساوي الـA في الـB، بدك تثبت لي أن هذا المعكوس + +240 +00:24:43,040 --> 00:24:47,820 +يساوي B inverse A inverse، يعني كأنه أنا بدأت أثبت + +241 +00:24:47,820 --> 00:24:52,640 +أن الـA في B الكل inverse يساوي B inverse، يعني كأنه + +242 +00:24:52,640 --> 00:24:57,620 +بنغلب، ونضعهم زي الـtranspose بالظبط، مش حصل ضرب A + +243 +00:24:57,620 --> 00:25:00,880 +في B الكل transpose، جينا نقول B transpose في الـA + +244 +00:25:00,880 --> 00:25:05,080 +transpose، يبقى هنا نفس الفكرة، كل واحد علمت على اسمه + +245 +00:25:05,080 --> 00:25:13,600 +هنا، بنادر كله تمام، طيب نرجع الآن، نجي نشوف صحة هذا + +246 +00:25:13,600 --> 00:25:23,840 +الكلام، لو أنا جيت أخدت الـA, B في الـA, B أو A في ده + +247 +00:25:23,840 --> 00:25:30,800 +في أخذه في مين؟ في الـB inverse A inverse اللي قايل + +248 +00:25:30,800 --> 00:25:38,250 +عليه، هذا، طيب هذا الكلام بدو يساوي، بدي أجي لخاصية الـ + +249 +00:25:38,250 --> 00:25:43,110 +associativity على المصفوفات، خاصية الدمج، إذا هذه + +250 +00:25:43,110 --> 00:25:50,450 +تساوي A في الـB في B inverse A inverse، مظبوط؟ هذه اللي + +251 +00:25:50,450 --> 00:25:56,050 +بين قوسين، مين هي؟ الـidentity matrix، يبقى الـA في + +252 +00:25:56,050 --> 00:26:00,830 +الـidentity matrix في الـA inverse، الـidentity + +253 +00:26:00,830 --> 00:26:04,990 +matrix لما تضربيها في أي مصفوفة، شو بيطلع؟ نفس + +254 +00:26:04,990 --> 00:26:08,870 +المصفوفة، the same matrix، يبقى الـA في الـA inverse + +255 +00:26:08,870 --> 00:26:16,150 +اللي هي الـmain المصفوفة A، طيب، واللو أخدت الـB + +256 +00:26:16,150 --> 00:26:21,770 +inverse A inverse ضربت في الـAB، يا ما أنا شو بدي + +257 +00:26:21,770 --> 00:26:26,750 +يعطيني؟ بدي أستخدم خاصية الـassociativity، يبقى B + +258 +00:26:26,750 --> 00:26:36,240 +inverse A inverse AB، معكوس المصفوفة في المصفوفة الـ + +259 +00:26:36,240 --> 00:26:43,480 +identity matrix، يبقى B inverse IB، يعني B inverse B + +260 +00:26:43,480 --> 00:26:49,180 +يعني الـidentity matrix، إذا من الاثنين هدول، إيش + +261 +00:26:49,180 --> 00:26:56,520 +بنستنتج يا بنات؟ بنستنتج أن الـAB في الـB inverse + +262 +00:26:56,520 --> 00:27:03,020 +A inverse بدو يساوي الـB inverse A inverse، في + +263 +00:27:03,020 --> 00:27:10,890 +الـAB في الـAB بدو يساوي 100، يبقى معناه كل واحدة + +264 +00:27:10,890 --> 00:27:17,950 +فيهم معكوس للثانية، هذا معناه أن الـB inverse A + +265 +00:27:17,950 --> 00:27:31,150 +inverse is the inverse of A في B، صح ولا لأ؟ but the + +266 +00:27:31,150 --> 00:27:35,010 +inverse of + +267 +00:27:37,100 --> 00:27:48,620 +A B is denoted by A B الكل inverse + +268 +00:27:51,920 --> 00:27:55,860 +وقبل شوية في المحاضرة الصفحة، أثبتنا نظرية أن الـ + +269 +00:27:55,860 --> 00:28:02,500 +inverse يكون واحدا، إذا هذا هو الثاني، يبقى but the + +270 +00:28:02,500 --> 00:28:09,360 +inverse of A B is denoted by كذا، والـinverse + +271 +00:28:09,360 --> 00:28:12,740 +of + +272 +00:28:12,740 --> 00:28:17,180 +a matrix is + +273 +00:28:18,080 --> 00:28:23,940 +يكون هناك يكون وحيدا، هذا بدو يعطينا أن الـA B + +274 +00:28:23,940 --> 00:28:29,720 +الكل inverse بدو يساوي B inverse A inverse + +275 +00:28:33,320 --> 00:28:38,080 +هتلاحظين لما تكون هذه الـC بدها تساوي الـAB، قال لي + +276 +00:28:38,080 --> 00:28:42,660 +أثبت لي أن الـC inverse تساوي كذا، مظبوط؟ الحين + +277 +00:28:42,660 --> 00:28:47,440 +الـC inverse بدها تساوي مين؟ AB inverse، يبقى هذا + +278 +00:28:47,440 --> 00:28:53,960 +بدو يعطينا أن الـC inverse بدها تساوي B inverse A + +279 +00:28:53,960 --> 00:28:59,350 +inverse، عظم ما هو المطلوب، إذا من الآن فصاعدا هذا + +280 +00:28:59,350 --> 00:29:03,650 +السؤال، ليش بيقول ليه؟ بيقول لو عندي حاصل ضرب + +281 +00:29:03,650 --> 00:29:09,370 +مصفوفتين A وB، وحاصل ضربهم الكل inverse تساوي inverse + +282 +00:29:09,370 --> 00:29:13,490 +الثانية في inverse الأولى، بدنا نجيبها زي + +283 +00:29:13,490 --> 00:29:16,330 +الـtranspose بالظبط تماما + +284 +00:29:31,740 --> 00:29:37,780 +هذا كان سؤال 13 من الكتاب، ننتقل لسؤال 14 برضه نظري + +285 +00:29:37,780 --> 00:29:50,280 +سؤال 14 بيقول لي، let الـA be a non singular + +286 +00:29:50,280 --> 00:30:00,470 +matrix، non singular matrix، show that، أن + +287 +00:30:00,470 --> 00:30:07,910 +الـA Inverse Inverse بدو يعطيني الـA + +288 +00:30:19,610 --> 00:30:23,630 +نفس التكتيك اللي اتبع في السؤالين السابقين، بمسك + +289 +00:30:23,630 --> 00:30:27,590 +المعلومة، بحاول أستفيد منها، مش بيعطينا المعلومة + +290 +00:30:27,590 --> 00:30:31,270 +بلاش بس نتفرج عليها، لأ لأ لأ، بحاول نستفيد منها، إذا + +291 +00:30:31,270 --> 00:30:39,890 +احنا بدنا نجي هنا الآن، let الـA be a non singular + +292 +00:30:39,890 --> 00:30:47,000 +matrix، يبقى هذا معناه يا جماعة أن الـdeterminant + +293 +00:30:47,000 --> 00:30:54,740 +للـA لا يساوي 0، هذا معناه أن الـA inverse exists + +294 +00:30:54,740 --> 00:31:01,120 +يعني هذا معناه أن الـA في الـA inverse سيكون مصفوفة + +295 +00:31:01,120 --> 00:31:08,420 +الوحدة، تمام؟ حتى لأن كلام اللي بقوله كأنه + +296 +00:31:08,420 --> 00:31:12,720 +ليس له علاقة بالمطلوب، المطلوب دي أثبت أن معكوس + +297 +00:31:12,720 --> 00:31:18,910 +المعكوس يعطينا الأصل، صح؟ يعني لو جيبت معكوس مصفوفة، و + +298 +00:31:18,910 --> 00:31:23,030 +روحت جيبت لها كمان معكوس للمعكوس، بديه يطلع المصفوفة + +299 +00:31:23,030 --> 00:31:27,570 +الأصلية، مظبوط؟ هو اللي بيقول لي أثبت أن A inverse + +300 +00:31:27,570 --> 00:31:32,610 +inverse بدو يساوي من الـA، إذا أنا مشان أجيب له الـ + +301 +00:31:32,610 --> 00:31:36,110 +inverse بدي أروح آخذ inverse لمين؟ للنتيجة اللي أنا + +302 +00:31:36,110 --> 00:31:44,390 +توصلت لها، تمام، فبجي بقول له هذا معناه أن الـA في + +303 +00:31:44,390 --> 00:31:50,510 +الـA inverse الكل inverse بدو يساوي الـI inverse + +304 +00:31:53,570 --> 00:32:00,070 +سؤال كمان مرة، معكوس مصفوفة الوحدة مين هي؟ نفس + +305 +00:32:00,070 --> 00:32:05,870 +الوحدة نفسها، مظبوط؟ يبقى باجي بقول هنا هذا بدو + +306 +00:32:05,870 --> 00:32:11,330 +يعطيك بناء على الخواص تبع مين؟ تبع الـinverse + +307 +00:32:11,330 --> 00:32:14,970 +اللي أثبتناها هنا، يبقى هذا الـinverse ليش بدنا + +308 +00:32:14,970 --> 00:32:19,850 +نسويه؟ بدنا نجيب وضعها، يبقى هذا بيعطيك A inverse + +309 +00:32:19,850 --> 00:32:25,050 +inverse في الـA inverse بدو يساوي الـidentity + +310 +00:32:25,050 --> 00:32:30,190 +matrix، هذا جبته من وين؟ من السؤال وين؟ من السؤال + +311 +00:32:30,190 --> 00:32:40,390 +13، يبقى هذا from exercises 13، طيب كويس إيش رأيك؟ + +312 +00:32:40,390 --> 00:32:48,290 +أنا بدي هذه، صح؟ طب خليني أضرب من جهة اليمين في + +313 +00:32:48,290 --> 00:32:53,850 +المصفوفة A، مش أنا أخليها دي لوحدها، إذا لو جهة ضربت + +314 +00:32:53,850 --> 00:33:00,070 +من جهة اليمين في المصفوفة A، بصير A inverse inverse + +315 +00:33:00,070 --> 00:33:06,290 +A inverse في مين؟ في المصفوفة A، بدو يساوي الـidentity + +316 +00:33:06,290 --> 00:33:12,740 +matrix في المصفوفة A، هذا معناه أن الـA inverse + +317 +00:33:12,740 --> 00:33:19,740 +inverse هدف هدف من بالـidentity matrix بدو يساوي + +318 +00:33:19,740 --> 00:33:25,220 +المصفوفة A، طيب المصفوفة الوحدة لما نضربها في أي + +319 +00:33:25,220 --> 00:33:30,800 +مصفوفة بتعطيني مين؟ نفس المصفوفة، يبقى الـA inverse + +320 +00:33:30,800 --> 00:33:38,940 +inverse بدو يساوي المصفوفة A نفسها، مظبوط هكذا؟ يبقى + +321 +00:33:38,940 --> 00:33:44,420 +ما سوينا شي، خلصنا، يبقى أثبتنا أن معكوس لمعكوس + +322 +00:33:44,420 --> 00:33:50,620 +المصفوفة بيعطينا المصفوفة نفسها، نأخذ كمان سؤال + +323 +00:33:50,620 --> 00:33:59,640 +السؤال الخامس عشر بيقول لي، the matrix، the matrix + +324 +00:33:59,640 --> 00:34:03,160 +IN + +325 +00:34:03,160 --> 00:34:14,280 +للـidentity matrix is its own inverse، يعني + +326 +00:34:14,280 --> 00:34:23,060 +هي معكوس لنفسها، since ليش؟ لأن الـidentity matrix + +327 +00:34:23,060 --> 00:34:28,520 +لما نضربها في الـidentity matrix بيطلع من عندنا الـ + +328 +00:34:28,520 --> 00:34:33,660 +identity matrix، المطلوب الأول من السؤال، find + +329 +00:34:35,470 --> 00:34:45,290 +at least على الأقل to second + +330 +00:34:45,290 --> 00:34:48,830 +order + +331 +00:34:48,830 --> 00:34:57,030 +to second order matrices، matrices + +332 +00:34:57,030 --> 00:35:04,050 +other than I N + +333 +00:35:07,740 --> 00:35:18,800 +that have this property، إلا + +334 +00:35:18,800 --> 00:35:27,080 +دي الخاصية نمر بيه، if الـA بدها تساوي الـA inverse + +335 +00:35:27,080 --> 00:35:28,800 +show that + +336 +00:35:32,000 --> 00:35:39,460 +show that، بيّن لي أن الـdeterminant للـA بدها تساوي + +337 +00:35:39,460 --> 00:35:41,860 +زائد أو ناقص واحد + +338 +00:36:10,490 --> 00:36:16,950 +نرجع لسؤالنا مرة ثانية، السؤال ذو شقين، نقرأ السؤال + +339 +00:36:16,950 --> 00:36:21,370 +كويس، وبعدين هي كده، تعالي يا بنت، يا بنت تعالي تعالي + +340 +00:36:21,370 --> 00:36:27,510 +تعالي، بقول طلعت + +341 +00:36:27,510 --> 00:36:30,990 +كلمة جوال، مش هيك؟ بتاخدي كتبك وتصلي، تعودي على + +342 +00:36:30,990 --> 00:36:35,750 +المحاضرة أبدا، يا بتقعدي وتنسي حكاية الجوال، أنا من + +343 +00:36:35,750 --> 00:36:37,630 +أول محاضرة قلت لك يا جوال يا محاضرة + +344 +00:36:48,030 --> 00:36:52,030 +قلت لك المحاضرة مثل صلاة الجمعة، فإيش الإيمان بالمخطب + +345 +00:36:52,030 --> 00:36:55,410 +واحد يطلع يرد على الجوال ويعود لخطبة، مسخرة هذه مش + +346 +00:36:55,410 --> 00:37:00,510 +صلاة، واحنا هنا مكان المحاضرة، مكان عبادة تماما مثل + +347 +00:37:00,510 --> 00:37:07,150 +الصلاة عندي، يبقى يا دي دراسة يا إما جوال، نرجع + +348 +00:37:07,150 --> 00:37:08,190 +لسؤالنا مرة ثانية + +349 +00:37:13,170 --> 00:37:18,390 +مصفوفة الوحدة هي مصفوفة معكوس لنفسها + +350 +00:37:29,590 --> 00:37:37,050 +هات لي at least على الأقل مصفوفتين من الـsecond + +351 +00:37:37,050 --> 00:37:42,530 +order، يعني النظام اثنين في اثنين من غير الـI، أنت + +352 +00:37:42,530 --> 00:37:45,910 +مش هتروح تقولي المصفوفة I، too صفين وعاملين، تقولي + +353 +00:37:45,910 --> 00:37:51,650 +أي واحد؟ لأ، ده هتجيب مصفوفتين غيرهم، بحيث لهم هذه + +354 +00:37:51,650 --> 00:37:55,770 +الخاصية، يعني لو ضربت المصفوفة في نفسها بدها تطيني + +355 +00:37:55,770 --> 00:38:01,290 +مصفوفة الوحدة، بس بشرط ما تكونش مصفوفة الوحدة، تمام؟ + +356 +00:38:01,290 --> 00:38:05,490 +ايوا هذا المطلوب الأول، المطلوب الثاني بيقول لو كان الـ + +357 +00:38:05,490 --> 00:38:09,030 +A بدها تساوي الـinverse، show that أن الـdeterminant + +358 +00:38:09,030 --> 00:38:14,670 +للـA بدها تساوي زائد أو ناقص واحد، بسيطة جدا، خلينا + +359 +00:38:14,670 --> 00:38:20,460 +مع المطلوب الأول، بدي أحاول أدور على مصفوفة، لو ضربت + +360 +00:38:20,460 --> 00:38:25,940 +في نفسي يطلع مين عندي؟ مصفوفة الوحدة، حد فيكم بتقدر + +361 +00:38:25,940 --> 00:38:28,480 +تجيب لي مصفوفة نظامها اثنين في اثنين؟ ما تبداش كتير + +362 +00:38:28,480 --> 00:38:36,140 +يعني أغششكي أكتر، القطر الرئيسي أصفار، يلا ظل عليكي + +363 +00:38:36,140 --> 00:38:41,020 +عددين بس، مصفوفة نظامها اثنين في اثنين، والقطر + +364 +00:38:41,020 --> 00:38:46,620 +الرئيسي أصفار، بدي لو ضربتها تطلع مصفوفة الوحدة + +365 +00:39:14,950 --> 00:39:16,550 +ثلاثة وثلاث، ثلاثة وثلاث، ثلاث ثلاث ثلاث ثلاث ثلاث + +366 +00:39:18,130 --> 00:39:23,410 +بّتنفع، أربعة وأربعة بتّنفع، خمسة وخمس، يبقى هي مش + +367 +00:39:23,410 --> 00:39:28,410 +مصفوفتين، صار ملايين.. إيجاد اش ملايين عدد لإنهاء + +368 +00:39:28,410 --> 00:39:32,270 +من المصفوفات وليس.. بس من ده اتّكد أن كلامنا هذا + +369 +00:39:32,270 --> 00:39:37,45 + +401 +00:42:39,870 --> 00:42:45,310 +بيصير عندي الـ determinant للـ A في الـ A بده + +402 +00:42:45,310 --> 00:42:51,390 +يساوي الـ determinant لمصفوفة الوحدة I حسب خواص الـ + +403 +00:42:51,390 --> 00:42:56,490 +determinant يبقى هذا الـ determinant للـ A في الـ + +404 +00:42:56,490 --> 00:43:01,990 +determinant للـ A بده يساوي الـ determinant لمصفوفة + +405 +00:43:01,990 --> 00:43:08,590 +الواحدة هذا معناه أن الـ determinant للـ A لكل تربيع + +406 +00:43:08,590 --> 00:43:13,010 +بده يساوي قداش؟ الـ determinant لمصفوفة الواحدة واحدة + +407 +00:43:13,010 --> 00:43:17,030 +لو أخذنا الجذر التربيعي إلى الطرفين يبقى بيصير الـ + +408 +00:43:17,030 --> 00:43:22,510 +determinant للـ A يساوي زائد أو ناقص واحد أظن وهو + +409 +00:43:22,510 --> 00:43:28,560 +المطلوب يبقى هذول أربع أسئلة متوالية وكلهم أسئلة + +410 +00:43:28,560 --> 00:43:33,740 +نظرية موجودة عندك في الكتاب 12 و 13 و 14 و 15 وهي + +411 +00:43:33,740 --> 00:43:40,380 +حللنا لك الأربع أسئلة النظرية ولا عذر لك بعد ذلك + +412 +00:43:40,380 --> 00:43:45,200 +طبعا احنا قلنا الـ exercises اثنين اثنا عشر ناكل + +413 +00:43:45,200 --> 00:43:49,140 +مسائل عليهم اللي هو واحد ثلاثة خمسة سبعة ومن عشر + +414 +00:43:49,140 --> 00:43:54,300 +لخمسة عشر والـ exercise من واحد لثمانية مش هيك تمام + +415 +00:43:54,300 --> 00:44:00,940 +تمام يبقى على هيك يكون انتهى هذا الـ section اللي + +416 +00:44:00,940 --> 00:44:08,700 +هو الـ section اثنين اثنا عشر وبنتهيه ينتهي chapter اثنين + +417 +00:44:08,700 --> 00:44:14,520 +والمرة الجاية بدنا نيجي مفتحين ومخنا صاحي ونظيف + +418 +00:44:14,520 --> 00:44:20,680 +مشان نبدأ chapter ثلاثة اللي بتكلم عن vector spaces diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/LnjjOsm63Sg_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/LnjjOsm63Sg_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..500c0bfc4c9fc8cd02999b8df3f70f812f661877 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/LnjjOsm63Sg_raw.srt @@ -0,0 +1,1740 @@ +1 +00:00:19,340 --> 00:00:23,660 +بالله الرحمن الرحيم لازلنا في نفس ال section تبع + +2 +00:00:23,660 --> 00:00:28,740 +المرة الماضية وهو kramer's rule في نهاية هذا ال + +3 +00:00:28,740 --> 00:00:33,940 +section حضرتنا نظرية النظرية بتتحدث عن ال + +4 +00:00:33,940 --> 00:00:38,540 +homogeneous system فبتقول لي معاياتي لو كان عند ال + +5 +00:00:38,540 --> 00:00:44,580 +homogeneous system Ax يساوي 0 في N من المعادلات و + +6 +00:00:44,580 --> 00:00:50,020 +N من المجاهينيبقى في هذه الحالة هذا الـ system له + +7 +00:00:50,020 --> 00:00:53,920 +non-trivial solution إذا كان الـ determinant لإيه + +8 +00:00:53,920 --> 00:00:57,700 +بده ساوي zero طبعا أحنا بالنسبة للهومولينيا + +9 +00:00:57,700 --> 00:01:01,460 +السابقة نقول إن ماعنديش إلا أحد أمرين، يا إما في + +10 +00:01:01,460 --> 00:01:06,360 +الحل الصفري فقط لغير، يا إما في عدد لنهائي من + +11 +00:01:06,360 --> 00:01:12,400 +الحلول المجتملة عالمياعلى الحل الصفري لان عندما لا + +12 +00:01:12,400 --> 00:01:16,520 +يوجد لدي إلا الحل الصفري و لا يوجد لدي عدد لنهائي + +13 +00:01:16,520 --> 00:01:20,660 +من الحلول بقول و الله إذا كان ال determinant لل A + +14 +00:01:20,660 --> 00:01:25,100 +محدد ال A يساوي Zero معناته عندي عدد لنهائي من + +15 +00:01:25,100 --> 00:01:30,280 +الحلول ال determinant لا يساوي Zero يبقى ماعنديش + +16 +00:01:30,280 --> 00:01:34,990 +إلا الحل الصفرييبقى بالنسبة للـ Homogeneous System + +17 +00:01:34,990 --> 00:01:39,830 +يا بنات إذا المحدد لا يساوي Zero تبع مصفوفة + +18 +00:01:39,830 --> 00:01:44,470 +المعاملات، لا يوجد عندى إلا الحل الصفري أما إذا + +19 +00:01:44,470 --> 00:01:50,930 +كان المحدد يساوي Zero لمصفوفة المعاملات فعندي عدد + +20 +00:01:50,930 --> 00:01:57,000 +لنهائي من الحلولبناخد مثال على ذلك بيقول determine + +21 +00:01:57,000 --> 00:02:03,180 +all values هتلي كل القيم تبع المقدار الثابت C بحيث + +22 +00:02:03,180 --> 00:02:09,100 +ان ال system التالي has none trivial solution and + +23 +00:02:09,100 --> 00:02:13,380 +then find all such solution يعني بعد ما تجيبلي + +24 +00:02:13,380 --> 00:02:19,210 +قيمة C بدك تروح تجيبلي حل هذا ال systemطبعا اش + +25 +00:02:19,210 --> 00:02:23,870 +بقول هنا جالي non-trivial solution يعني بدي قداش + +26 +00:02:23,870 --> 00:02:30,970 +قيمة C اللي بتخليه non-trivialيعني بدي determinant + +27 +00:02:30,970 --> 00:02:35,370 +ايه هسويه بالـ main هسويه بالـ zero و روح نحل هذا + +28 +00:02:35,370 --> 00:02:41,210 +الكلام اذا احنا هنجي على ال system of linear + +29 +00:02:41,210 --> 00:02:46,450 +equations هذا و نجي نحل هذا ال system بعد ما نتقل + +30 +00:02:46,450 --> 00:02:50,890 +.. لكن هذا بنا نحله بعد ما نجيب قيمة C تمام؟ يبقى + +31 +00:02:50,890 --> 00:02:55,850 +باجي بقوله الحل كتالةالـ System has non-trivial + +32 +00:02:55,850 --> 00:03:00,970 +solution يبقى + +33 +00:03:00,970 --> 00:03:13,550 +هنا since بما أن الـ System star has non-trivial + +34 +00:03:13,550 --> 00:03:15,450 +solution + +35 +00:03:23,670 --> 00:03:26,430 +Determinant لـ A بيقوم بإعطاء الـ Zero لـ A بيقوم + +36 +00:03:26,430 --> 00:03:27,670 +بإعطاء الـ Zero لـ A بيقوم بإعطاء الـ Zero لـ A + +37 +00:03:27,670 --> 00:03:28,590 +بيقوم بإعطاء الـ Zero لـ A بيقوم بإعطاء الـ Zero + +38 +00:03:28,590 --> 00:03:30,010 +لـ A بيقوم بإعطاء الـ Zero لـ A بيقوم بإعطاء الـ + +39 +00:03:30,010 --> 00:03:31,310 +Zero لـ A بيقوم بإعطاء الـ Zero لـ A بيقوم بإعطاء + +40 +00:03:31,310 --> 00:03:32,910 +الـ Zero لـ A بيقوم بإعطاء الـ Zero لـ A بيقوم + +41 +00:03:32,910 --> 00:03:35,590 +بإعطاء الـ Zero لـ A بيقوم بإعطاء الـ Zero لـ A + +42 +00:03:35,590 --> 00:03:43,870 +بيقوم بإعطاء الـ Zero لـ A بيقوم بإعطاء الـ Zero + +43 +00:03:43,870 --> 00:03:48,170 +لـ A بيقوم + +44 +00:03:48,170 --> 00:03:54,160 +بإعهذا لازم يساوي قداش؟ بده يساوي zero هذا بده + +45 +00:03:54,160 --> 00:03:59,220 +يعطينا بنروح نفك المحدد هذا بنات باستخدام عناصر أي + +46 +00:03:59,220 --> 00:04:04,140 +صف أو أي عمود فلو رحت فاكرته باستخدام العمودي + +47 +00:04:04,140 --> 00:04:08,720 +الثالث لإنه في الصفر نتالب نشتغل طولتين الشغل مش + +48 +00:04:08,720 --> 00:04:15,100 +الشغل كاملايبقى بروح بقول له هذا عندنا C في مين في + +49 +00:04:15,100 --> 00:04:20,100 +المحدد أصغر منظر اللي بدأشته بصفه عموده بصير تلاتة + +50 +00:04:20,100 --> 00:04:26,960 +ناقص اتنين يبقى في تلاتة ناقص اتنين ناقص Zero في + +51 +00:04:26,960 --> 00:04:33,760 +محدده Zero نجي اللي بعده زائد واحدفى نشطة بصفه + +52 +00:04:33,760 --> 00:04:40,920 +وعموده يبقى سالب واحد سالب ستة يبقى سالب واحد سالب + +53 +00:04:40,920 --> 00:04:45,420 +ستة كل هذا الكلام بدى يساوي مين بدى يساوي Zero اذا + +54 +00:04:45,420 --> 00:04:51,700 +صار ان هذا C ناقص سبعة بدى يساوي Zero هذا معناته + +55 +00:04:51,700 --> 00:04:57,460 +ان C جداش تساوي سبعةإذا لو كان عندنا C تساوي سبعة + +56 +00:04:57,460 --> 00:05:04,760 +بيكون عندنا Non-trivial solution قال هنا ههه بجيت + +57 +00:05:04,760 --> 00:05:09,980 +السؤال and then find all such solutions ولمّا تجيب + +58 +00:05:09,980 --> 00:05:13,900 +قيمة C هاتلي ما هو الشكل الحالي اللي هو بيجيبلي + +59 +00:05:13,900 --> 00:05:19,100 +عدد لنهائي منالحلول يبقى بدنا نروح نحل ال system + +60 +00:05:19,100 --> 00:05:25,140 +هذا بأي طريقة من الطرق التي سبقت دراستها اتعودنا + +61 +00:05:25,140 --> 00:05:29,580 +هذا انحله ال homogeneous system بواسطة المصوفة + +62 +00:05:29,580 --> 00:05:35,600 +المواسعة او echelon four يبقى بداجي اقوله هنا هذه + +63 +00:05:35,600 --> 00:05:46,830 +المصوفة اللي عنديالعناصر تبعتها 1 2 c 3-1 0 إلى + +64 +00:05:46,830 --> 00:05:55,750 +نقص 2 1 1بنجيب ونضيف الـ consonants اللي هم + +65 +00:05:55,750 --> 00:05:59,590 +التلاتة اللي عندنا يبقى في هذه الحالة بقول هذه + +66 +00:05:59,590 --> 00:06:06,990 +بدنا نعمل الهمياتي سالب تلاتة R واحد بضيف فلامين ل + +67 +00:06:06,990 --> 00:06:14,690 +R اتنينو بعدين اتنين ار واحد اتنين ار ثلاثة بنحصل + +68 +00:06:14,690 --> 00:06:19,450 +على الشكل التالف الصف الأول زي ما هو واحد اتنين C + +69 +00:06:19,450 --> 00:06:24,730 +الصف التاني بيصير Zero سالب تلاتة في اتنين بسالب + +70 +00:06:24,730 --> 00:06:31,010 +ستة و سالب واحد بيصير سالب سبعة سالب تلاتة C هنا + +71 +00:06:31,010 --> 00:06:36,920 +سالب تلاتة Cهنا بده يصير عندنا zero اتنين في اتنين + +72 +00:06:36,920 --> 00:06:45,020 +باربع واحد خمسة وهنا اتنين ضربنا اتنين C باتنين C + +73 +00:06:45,020 --> 00:06:55,240 +زائد واحد وهذا كله Zero Zero Zeroتمام؟ الآن بقدر + +74 +00:06:55,240 --> 00:07:00,200 +أخلي هذا الرقم اللي عندي كده .. نخليه واحد صحيح + +75 +00:07:00,200 --> 00:07:04,780 +لما نخليه واحد صحيح يبقى بدي أضرب كله في سالب سبع + +76 +00:07:04,780 --> 00:07:12,220 +يبقى .. في حكم .. إيش فيه؟ مش سامع مين اللي بتحكي، + +77 +00:07:12,220 --> 00:07:16,300 +اتوريني .. اه اتفضلي اه + +78 +00:07:18,230 --> 00:07:24,170 +لازم نعوض عنها سبعة يا بنات هذه هنا سبعة صحيح بنا + +79 +00:07:24,170 --> 00:07:30,730 +نستخدمها وهذه هنا سبعة اذا بدنا نعدل الكلام اللي + +80 +00:07:30,730 --> 00:07:38,190 +احنا جايليه هذا كت ليهطبعا احنا ضربنا الصف الأول + +81 +00:07:38,190 --> 00:07:43,150 +في سالب تلاتة و بنضيف ولا التالي يبقى سالب تلاتة + +82 +00:07:43,150 --> 00:07:48,950 +في سبعة بسالب واحد وعشرين يبقى سالب واحد وعشرين + +83 +00:07:48,950 --> 00:07:54,400 +هضربنا في اتنين اربعتاشر واحد اللي هي خمستاشريبقى + +84 +00:07:54,400 --> 00:08:01,980 +الأن بيجي ناخد من سالب سبع قاري اتنين يبقى هذا + +85 +00:08:01,980 --> 00:08:08,000 +بتصير المصوفة على الشكل التالي واحد اتنين سبعة + +86 +00:08:08,000 --> 00:08:16,680 +زيرو هنا زيرو وهنا واحد وهنا تلاتة وهنا زيروو + +87 +00:08:16,680 --> 00:08:25,460 +بالمرة ناخد كمان خمس R تلاتة و هذا كمان خمس R + +88 +00:08:25,460 --> 00:08:31,580 +تلاتة يبقى هذا بده يعطينا كمان Zero واحد و هنا + +89 +00:08:31,580 --> 00:08:37,210 +تلاتة و هنا Zero الشكل اللي عندنا هذاتمام؟ يبقى + +90 +00:08:37,210 --> 00:08:43,370 +هذا المصير تاخد الشكل التالي بدي أضرب الصف الثاني + +91 +00:08:43,370 --> 00:08:50,450 +في سالب و أضيفه فوق و تحت يبقى السالب R او سالب + +92 +00:08:50,450 --> 00:09:01,120 +اتنين سالب اتنين R اتنين to R oneو بعد ذلك سالب R2 + +93 +00:09:01,120 --> 00:09:08,240 +to R3 نحصل على ما يأتي الآن هذه واحدة زي ما هي و + +94 +00:09:08,240 --> 00:09:16,040 +هنا سالب 2 مع 2 بـ 0 سالب 2 في 3 سالب 6 و 7 ليه + +95 +00:09:16,040 --> 00:09:21,620 +يبقى الواحد و هنا Zero و هنا Zero واحد تلاتة Zero + +96 +00:09:21,990 --> 00:09:28,430 +وهنا 00000 مش هيك لإننا ضربنا فيه سالب وضفناه كله + +97 +00:09:28,430 --> 00:09:33,150 +بصير zero يبقى ال system بالشكل هذا يبقى ال system + +98 +00:09:33,150 --> 00:09:37,090 +اللي عندنا ال star الأصلي يبقى بدي بقوله the + +99 +00:09:37,090 --> 00:09:43,250 +system star is equivalent + +100 +00:10:00,320 --> 00:10:07,320 +ماعنديش إلا معادلتين في ثلاثة مجاهيلإذا لا يمكن حل + +101 +00:10:07,320 --> 00:10:12,020 +هذا الـ system إلا بإعطاء قيمة لأحد المجاهيل + +102 +00:10:12,020 --> 00:10:19,600 +الثلاثة و نأتي بقيمة المجهولين الآخرين إذا لو جيت + +103 +00:10:19,600 --> 00:10:30,320 +هنا قلت مثلا if x3 يساوي مثلا سالب a حطيت x3 يساوي + +104 +00:10:30,320 --> 00:10:38,700 +سالب aالـ X1 بيصير كده يا جماعة؟ A والـ X2 بيصير + +105 +00:10:38,700 --> 00:10:44,560 +ثلاثة A لما أضع هذه بالسلب A بيصير X1 بيصير A وإذا + +106 +00:10:44,560 --> 00:10:47,620 +أضع هذه بالسلب A بيصير سلب ثلاثة A وإذا أضعها على + +107 +00:10:47,620 --> 00:10:54,280 +الشجرة التانية بيصير ثلاثة A يبقى سار The solution + +108 +00:10:56,960 --> 00:11:11,120 +The system A star is X1 و X2 و X3 بده يساوي X1 + +109 +00:11:11,120 --> 00:11:20,650 +طلعناها بـA و X2 بـ3A و X3 بـ-A بهذا الشكلماعنديش + +110 +00:11:20,650 --> 00:11:26,210 +قيود على إيه إذا هذا يعتبر عدد لانهائي من الحلول + +111 +00:11:26,210 --> 00:11:30,070 +الجادمة تكون قيمة إيه تكون مع أنها مشكلة في هذه + +112 +00:11:30,070 --> 00:11:36,730 +الحالة يبقى بدنا نيجي ل exercises اتنين احداشر + +113 +00:11:36,730 --> 00:11:44,250 +المسائل واحد و تلاتة ومن سبعة لغاية اتناشر + +114 +00:11:46,540 --> 00:11:51,620 +على هيك بكون انتهى هذا ال section ولم يبقى أمامنا + +115 +00:11:51,620 --> 00:11:56,420 +إلا ال section الأخير اللي هو ال section 212 + +116 +00:12:09,590 --> 00:12:15,030 +يبقى بالذات يليه section اتنين اتناش اللي هو the + +117 +00:12:15,030 --> 00:12:19,190 +inverse of A matrix + +118 +00:12:26,460 --> 00:12:32,280 +Inverse of a matrix يعني معكوس المصوفة طبعاً هنعطي + +119 +00:12:32,280 --> 00:12:37,860 +تعريف لمعكوس المصوفة وبعد ما نعطي التعريف بنتسأل + +120 +00:12:37,860 --> 00:12:43,260 +هل المعكوس هذا موجود لأي مصوفة و الله موجود لبعض + +121 +00:12:43,260 --> 00:12:51,150 +المصوفات و لبعض الآخر لأطبعا مش كل مصوفة لها معكوس + +122 +00:12:51,150 --> 00:12:56,050 +وإنما المصوفة اللي لها معكوس فقط هي المصوفة + +123 +00:12:56,050 --> 00:13:03,230 +المحددها لا يساوي zero لذا المصوفة المحددها لا + +124 +00:13:03,230 --> 00:13:07,590 +يساوي zero يبقى المعكوس existence ليش؟ هذا ما + +125 +00:13:07,590 --> 00:13:13,320 +سنعرفه بعد قليل ان شاء الله تعالىيبقى بدنا نضع + +126 +00:13:13,320 --> 00:13:20,140 +تعريف لمعكوس المصفوفة definition بيقول + +127 +00:13:20,140 --> 00:13:29,400 +لذا N by N matrix A المصفوفة لنظام N في N has an + +128 +00:13:29,400 --> 00:13:36,540 +inverse matrix has an inverse matrix + +129 +00:13:40,240 --> 00:13:49,000 +فإذا كان ال A في ال B سوى ال B في ال A سوى ال + +130 +00:13:49,000 --> 00:13:58,720 +identity matrix IN remark ال + +131 +00:13:58,720 --> 00:14:10,870 +matrix A ال matrix A has an inverse has anInverse + +132 +00:14:10,870 --> 00:14:18,290 +هدّيله الرمز A و فوقها سالب واحد if and only if ال + +133 +00:14:18,290 --> 00:14:26,210 +determinant للـ A لا يساوي zero نأخد + +134 +00:14:26,210 --> 00:14:33,670 +أول نظرية على هذا الموضوع theorem بتقول let ال A ب + +135 +00:14:38,070 --> 00:14:56,890 +an n by n matrix if there exists a matrix B such + +136 +00:14:56,890 --> 00:15:01,450 +that ال + +137 +00:15:01,450 --> 00:15:08,650 +A في ال B بده يساوي ال identity matrix I Nبعد ذلك + +138 +00:15:08,650 --> 00:15:15,530 +الـ B في الـ A بيكون ساوية الـ Identity Matrix I N + +139 +00:15:15,530 --> 00:15:23,410 +وبعد ذلك الـ B بيكون ساوية A انفرز + +140 +00:15:35,480 --> 00:15:57,820 +أظن أن هذا الشجة انتهي هنا منها خلاص وين + +141 +00:15:57,820 --> 00:16:02,860 +وصلت الورقة اللي بتلف؟ كل واحدة علمت من اللي قعدت + +142 +00:16:02,860 --> 00:16:16,860 +علي اسمهاكل واحدة أشرة تجب علي اسمها هنا طيب + +143 +00:16:16,860 --> 00:16:20,800 +نرجع ل section 212 وهو آخر section موجود في هذا ال + +144 +00:16:20,800 --> 00:16:25,700 +chapter بتحدث عن معكوث المصوفة بدأ نعطي تعريف + +145 +00:16:25,700 --> 00:16:31,120 +لمعكوث المصوفة ومن ثم نروح نلاقي وقت إيش المعكوث + +146 +00:16:31,120 --> 00:16:36,310 +هذا يكون موجود دائما و أبدافبعدين بقول لو كان عندي + +147 +00:16:36,310 --> 00:16:43,130 +n by n matrix A هذي لها معكوس B إذا تحقق ما يأتي + +148 +00:16:43,130 --> 00:16:47,950 +جيت على المصوف A ضربت من اليمين طلعت مصوف الواحدة + +149 +00:16:47,950 --> 00:16:52,010 +ضربت من الشمال في هذا المعكوس طلعت main مصوف + +150 +00:16:52,010 --> 00:16:56,760 +الواحدة يعني أنالو إدعيت إنه بيه هذه معكوس لازم + +151 +00:16:56,760 --> 00:16:59,720 +إذا ضربت في إيه من اليمين أو ضربت في إيه من + +152 +00:16:59,720 --> 00:17:04,880 +الشمال، بدي يعطيني مصوفة الوحدة إن ما طلعش .. بدي + +153 +00:17:04,880 --> 00:17:08,060 +يعطيني مصوفة الوحدة إن ما طلعش هذا الكلام يبقى + +154 +00:17:08,060 --> 00:17:12,960 +المصوفة بيه ماهياش معكوس المصوفة طبعا طرحنا سؤال + +155 +00:17:12,960 --> 00:17:17,780 +قبل قليل قلنا كل مصوفة لها معكوس الإجابة كانت مش + +156 +00:17:17,780 --> 00:17:22,390 +كل المصوفات لها معكوسالمعكوس الريمارك هذا بتقول ال + +157 +00:17:22,390 --> 00:17:28,990 +matrix A لها المعكوس A وفوقه سالب واحد مش اه وسالب + +158 +00:17:28,990 --> 00:17:34,650 +واحد هذا رمز يدل على معكوس المصوفة ولا يسوي واحد + +159 +00:17:34,650 --> 00:17:39,990 +على ايه لان ماعندناش حاجة اسمها قسمة مصوفات مش + +160 +00:17:39,990 --> 00:17:45,760 +عندنا في علم المصوفات حاجة اسمها قسمة مصوفاتيبقى + +161 +00:17:45,760 --> 00:17:51,720 +الـ A أفاجأو أس سالب واحد يدل على معكوس المصوفة + +162 +00:17:51,720 --> 00:17:56,920 +وليس A أس سالب واحد تمام؟ يبقى هذا رمز يدل على + +163 +00:17:56,920 --> 00:18:02,160 +معكوس المصوفة يبقى المعكوس هذا موجود إذا كان + +164 +00:18:02,160 --> 00:18:07,920 +المحدد لا يساوي Zero والعكس لو كان المحدد لا يساوي + +165 +00:18:07,920 --> 00:18:12,710 +Zero يبقى المعكوس ماله؟موجود طبعاً ليش هذا الكلام + +166 +00:18:12,710 --> 00:18:17,690 +لا يساوي زرع بعد قليل هنقول لك ليش ان شاء الله طيب + +167 +00:18:17,690 --> 00:18:21,650 +بقول little a,b,n,n by n matrix نظرية جالي إذا + +168 +00:18:21,650 --> 00:18:26,430 +جدرنا نلاقي matrix B بحيث أن ال A في ال B بدو + +169 +00:18:26,430 --> 00:18:31,630 +يساوي ال identity matrix يبقى automatic لازم يكون + +170 +00:18:31,630 --> 00:18:36,250 +B في A بدو يساوي ال identity matrix وبالتالي B + +171 +00:18:36,250 --> 00:18:43,430 +تبعتنا هذههي مين؟ هي معكوس المصفوفة A يبقى B هي + +172 +00:18:43,430 --> 00:18:48,870 +عبارة عن inverse بدنا نروح نثبت صحة هذه النظرية + +173 +00:18:48,870 --> 00:18:55,210 +يبقى أنا عندي الشغلة الأولى أنا عندي نظامها N في M + +174 +00:18:55,480 --> 00:19:01,800 +لو وجدت مصفوفة بي ضربتها في إيه من جهة اليمين طلع + +175 +00:19:01,800 --> 00:19:05,560 +ال identity؟ بدي أثبت إيه؟ إنه لو ضربتها من جهة + +176 +00:19:05,560 --> 00:19:10,520 +الشمال بدي أعطيني ال identity وبالتالي تحققت اللي + +177 +00:19:10,520 --> 00:19:17,420 +فوق وبالتالي ال بي هي معكس من إيه؟ صحيح ولا لأ؟ + +178 +00:19:17,420 --> 00:19:18,860 +طيب نيجي لل proof + +179 +00:19:33,380 --> 00:19:40,890 +هل قلنا ان المعكوس موجود؟ما قلناش يبقى انا بدي + +180 +00:19:40,890 --> 00:19:45,550 +اثبتله ان المعكوس موجود قبل ما ابدأ اشتغل الشغل + +181 +00:19:45,550 --> 00:19:49,490 +اللي هو طالبه هذا بقولك اذا مشان اثبت المعكوس + +182 +00:19:49,490 --> 00:19:55,190 +موجود بدي اخد ال determinant للطرفين يبقى هذا بدي + +183 +00:19:55,190 --> 00:20:00,550 +يعطينا ان ال determinant لل A في ال B يساوي ال + +184 +00:20:00,550 --> 00:20:06,840 +determinant لمصفوفة الواحدة هذا بدي يعطيناهذا + +185 +00:20:06,840 --> 00:20:10,160 +معناه مين؟ الـ determinant لـ A في الـ determinant + +186 +00:20:10,160 --> 00:20:15,860 +لـ B يبقى هذا معناته الـ determinant لـ A في الـ + +187 +00:20:15,860 --> 00:20:20,320 +determinant لـ B بده يساوي جداش ال determinant + +188 +00:20:20,320 --> 00:20:21,840 +لمصوفة الوحدة؟ + +189 +00:20:28,940 --> 00:20:35,180 +ممتاز جدا يبقى انا طلعت حصل ضرب كميتين يساوي واحد + +190 +00:20:35,180 --> 00:20:41,050 +صحيح واتنين are real numberهل يمكن لأحدهما أن تكون + +191 +00:20:41,050 --> 00:20:45,070 +zero في يوم من الأيام، ولو مرة واحدة في التاريخ، + +192 +00:20:45,070 --> 00:20:50,650 +ليس إمكانية يبقى هذا معناه أن ال determinant للايه + +193 +00:20:50,650 --> 00:20:55,530 +لا يمكن أن يساوي zero مادام حصل ضرب الأتنين بسوعة + +194 +00:20:55,530 --> 00:21:00,100 +صحيح يبقى أحدهم لايمكن أن يكون zeroولو كان Zero + +195 +00:21:00,100 --> 00:21:04,240 +لأصبح الناتج يساوي Zero طيب إذا ال determinant + +196 +00:21:04,240 --> 00:21:11,200 +لإيه لأ يساوي Zero معناته المعكوس ماله exist يبقى + +197 +00:21:11,200 --> 00:21:20,560 +هذا بدي أعطيه لك the inverse matrix لإيه inverse + +198 +00:21:20,560 --> 00:21:25,140 +exist exist + +199 +00:21:25,140 --> 00:21:35,090 +كويسأحنا بنثبت ان b في a يسوى ال identity لو رحت + +200 +00:21:35,090 --> 00:21:47,550 +وقلت افترضي ان عندي مصفوفة c تساوي b في a جيت + +201 +00:21:47,550 --> 00:21:54,200 +انا قلت له خدلي هنا ال a في cشوف اللي بالله كده + +202 +00:21:54,200 --> 00:22:00,720 +بتطلع هذه بقول له اه هذه بدها تساوي a في c main + +203 +00:22:00,720 --> 00:22:07,700 +عندي ل b في ال a صحيح ولا لأ السؤال هو خاصية ال + +204 +00:22:07,700 --> 00:22:12,260 +associative صحيحة على المصبوحات ولا لأ خاصية الدمج + +205 +00:22:12,260 --> 00:22:18,620 +صحيحة يبقى هذا الكلام بده يساوي a b في main في ال + +206 +00:22:18,620 --> 00:22:24,670 +aطبعا انا عندي معطيات ان الـ A B قد شو ساوي ال + +207 +00:22:24,670 --> 00:22:33,470 +identity هذا معناه ان ال identity matrix في ال A A + +208 +00:22:33,470 --> 00:22:38,330 +B احنا قولنا A C بده يساوي كذا هذا بده يعطينا مين؟ + +209 +00:22:38,640 --> 00:22:42,540 +هذا الكلام + +210 +00:22:42,540 --> 00:22:47,420 +بده يساوي ال identity matrix في ال A طب ال + +211 +00:22:47,420 --> 00:22:51,080 +identity matrix لو ضربتها في أي مصفوفة إيش الناتج؟ + +212 +00:22:51,080 --> 00:22:58,340 +نفس المصفوفة يبقى هذا بده يعطيني ال A يبقى يا بنات + +213 +00:22:58,340 --> 00:23:04,070 +إيش صار عندي؟ إن ال A في ال C بده يساوي ال Aهي + +214 +00:23:04,070 --> 00:23:11,750 +اللي طلعت منه مظبوط هذا معناه ان ال a في ال c ناقص + +215 +00:23:11,750 --> 00:23:16,790 +ال a بده يساوي كده؟ Zero طبعا هذه المصفوفة الصفرية + +216 +00:23:16,790 --> 00:23:21,550 +مش العنصر الصفري يعني هذه ال zero اللي مطاولة + +217 +00:23:21,550 --> 00:23:27,250 +بالشكل هذا هذه المصفوفة الصفرية سؤالبنقدر ناخد + +218 +00:23:27,250 --> 00:23:32,590 +عامل مشترك من هذه المعادلة يبقى ايش بيصير عندنا؟ + +219 +00:23:32,590 --> 00:23:38,490 +اي عامل مشترك بيظل C نقص كده؟ نقص واحد + +220 +00:23:41,650 --> 00:23:46,990 +نقص ال identity matrix مش واحد يبقى ناقص ال + +221 +00:23:46,990 --> 00:23:52,110 +identity matrix و إلا و هذا الكلام بده يساوي مين؟ + +222 +00:23:52,110 --> 00:23:58,190 +بده يساوي زي ما و إلا لو كان واحد هل بقدر أضيف + +223 +00:23:58,190 --> 00:24:03,380 +الواحد لأي مصفوفة؟ولو كان واحد كان قولنا هذه يبقى + +224 +00:24:03,380 --> 00:24:07,160 +هذه بدها تساوي Zero أو هذه بدها تساوي Zero صحيح + +225 +00:24:07,160 --> 00:24:11,800 +ولا لا؟ إذا بصير ال C نقص للواحد تساوي Zero يبقى + +226 +00:24:11,800 --> 00:24:15,880 +المصفوفة C تساوي Zero صحيح هذا الكلام؟ أو تساوي + +227 +00:24:15,880 --> 00:24:20,700 +واحد واحد number رقم مش مصفوفة يبقى ليس صحيح يبقى + +228 +00:24:20,700 --> 00:24:25,280 +لما ناخد عامل مشترك في حالة المصفوفة بدل الواحد في + +229 +00:24:25,280 --> 00:24:30,250 +العملية الشغل العادى بيصير ال identity matrixتمام + +230 +00:24:30,250 --> 00:24:35,390 +تمام يبقى توصلنا الى انه الكلام اللى عندنا طيب + +231 +00:24:35,390 --> 00:24:40,410 +احنا عندنا يا بنات ان ال a inverse exist و ال + +232 +00:24:40,410 --> 00:24:47,170 +determinant لا يمكن ان يساوي zero تمام يبقى معنى + +233 +00:24:47,170 --> 00:24:52,330 +هذا الكلام ان المصوفة لا يمكن ان تساوي zero يبقى + +234 +00:24:52,330 --> 00:24:57,370 +مين اللى بده يساوي zero ال C ناقص الله او بمعنى + +235 +00:24:57,370 --> 00:25:02,830 +اخرمن معنى آخر بدي أجيبلك بطريقة أخرى لو ضربت + +236 +00:25:02,830 --> 00:25:08,370 +الطرفين في a inverse من جهة الشمال يبقاش بيصير + +237 +00:25:08,370 --> 00:25:17,150 +عندي ال a inverse a في c minus ال I كله بده يساوي + +238 +00:25:17,150 --> 00:25:24,890 +ال a inverse في ال zero مظبوط؟ طيب ال a في ال a + +239 +00:25:24,890 --> 00:25:29,760 +inverse شو بتعطينا هذه؟مصفوفة الوحدة ال identity + +240 +00:25:29,760 --> 00:25:33,280 +ال identity matrix لما نضربها في أي مصفوفة ايش + +241 +00:25:33,280 --> 00:25:38,300 +بيعطينا نفس المصفوفة مظبوط طبعا يا بنات لما اقول I + +242 +00:25:38,300 --> 00:25:44,200 +كله I in هذه كله I in زي ما هي ماشي معانا I in + +243 +00:25:44,200 --> 00:25:51,800 +يبقى هذا معناه ال identity matrix I in في C minus + +244 +00:25:51,800 --> 00:25:58,010 +ال I inكله بده يساوي مين؟ المصفوفة الصفرية هذا + +245 +00:25:58,010 --> 00:26:05,370 +معناه ان الـC minus IN بده يساوي قدر؟ له Zero يبقى + +246 +00:26:05,370 --> 00:26:13,650 +الـC بدها تساوي المصفوفة IM من هي الـC؟ بي في A + +247 +00:26:13,650 --> 00:26:19,430 +يبقى هذا معناه ان بي في A بده يساوي ال identity + +248 +00:26:19,430 --> 00:26:24,580 +magical as in و هو المطلوب؟بيبدوا يسووا ال + +249 +00:26:24,580 --> 00:26:28,720 +identity بيبدوا + +250 +00:26:28,720 --> 00:26:31,920 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +251 +00:26:31,920 --> 00:26:34,120 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +252 +00:26:34,120 --> 00:26:37,840 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +253 +00:26:37,840 --> 00:26:37,900 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +254 +00:26:37,900 --> 00:26:37,900 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +255 +00:26:37,900 --> 00:26:37,900 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +256 +00:26:37,900 --> 00:26:37,900 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +257 +00:26:37,900 --> 00:26:37,900 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +258 +00:26:37,900 --> 00:26:37,900 +يسووا ال identity بيبدوا يسووا ال identity بيبدوا + +259 +00:26:37,900 --> 00:26:40,600 +يسووا ال identity بيالـ A في B بديه يساوي الـ + +260 +00:26:40,600 --> 00:26:45,880 +Identity and الـ B في الـ A بديه يساوي الـ + +261 +00:26:45,880 --> 00:26:51,440 +Identity Matrix اللي هو IN حسب الـ Definition هذا + +262 +00:26:51,440 --> 00:26:58,440 +بدي يعطينا أنه بيبدأ يساوي الـ A inverse يعني هي + +263 +00:26:58,440 --> 00:27:05,070 +معكوس المصوفة Aطب خليني أسأل السؤال التالي هل يمكن + +264 +00:27:05,070 --> 00:27:12,450 +المصوفة أن يكون لها أكثر من معكوس؟ يعني كل المصوف + +265 +00:27:12,450 --> 00:27:18,470 +معكوسين، تلاتة، أربعة، خمسة؟ يعني معكوسا محيدا، بس + +266 +00:27:18,470 --> 00:27:22,850 +بدنا نثبت صحة هذا الكلام، يبقى هدف أن نحطه على + +267 +00:27:22,850 --> 00:27:25,510 +صيغة النظرية التالية + +268 +00:27:56,110 --> 00:27:59,970 +لو كانت A معكوسة + +269 +00:28:02,270 --> 00:28:14,630 +الـ B هذه is the unique inverse of A نظرية مرة + +270 +00:28:14,630 --> 00:28:21,550 +تانيةبقول ليش؟ لو كان الـ A مصحوفة مربعة نظامها N + +271 +00:28:21,550 --> 00:28:27,150 +في N وكان B هو معكوس الـ A then B is the unique + +272 +00:28:27,150 --> 00:28:33,170 +inverse of A يبقى B هي المعكوس الوحيد لإيه؟ unique + +273 +00:28:33,170 --> 00:28:39,390 +inverse يبقى المعكوس الوحيد للمصحوف A يعني المصحوف + +274 +00:28:39,390 --> 00:28:45,190 +A لا يوجد لها إلا معكوس وحيد واحد فقطده غير طب + +275 +00:28:45,190 --> 00:28:50,950 +نثبت هذا الكلام نثبته كيف بروح بفرض ان في عندي + +276 +00:28:50,950 --> 00:28:57,470 +معكوسين للمصوفة A و بروح بثبت ان هذان المعكوسين + +277 +00:28:57,470 --> 00:29:04,990 +متساويان والله ان هذين المعكوسين متساويان مظبوط + +278 +00:29:04,990 --> 00:29:09,670 +طبعا انها بتنصب اسم و بترفع خبرها مش هيك و ان هذين + +279 +00:29:09,670 --> 00:29:15,690 +المعكوسين متساويةيبقى بنرجع آية هنا تاني يبقى أنا + +280 +00:29:15,690 --> 00:29:19,550 +بدي أفرض أنه عندي معكسين هو قال لي مين قال لي بي + +281 +00:29:19,550 --> 00:29:23,430 +يبقى أنا بدي أقوله بدي أفترض أنه بي و سي معكسين + +282 +00:29:23,430 --> 00:29:34,650 +للمصوفة من ايه يبقى هنا assume that أن ال بي and + +283 +00:29:34,650 --> 00:29:38,810 +ال سي are two + +284 +00:29:41,570 --> 00:29:52,570 +inverses of the matrix A then + +285 +00:29:52,570 --> 00:29:58,390 +مدالها دول معكوسين طبقا لهذا التعريف يبقاش بده + +286 +00:29:58,390 --> 00:30:05,610 +يصير عنها A في B بده يساوي B في A بده يساوي + +287 +00:30:05,610 --> 00:30:12,970 +identity matrixوطبعاً كون النظام N في N يبقى ال I + +288 +00:30:12,970 --> 00:30:23,030 +N وفي نفس الوقت ال A C بده يساوي C في A بده يساوي + +289 +00:30:23,030 --> 00:30:25,970 +ال identity matrix I N + +290 +00:30:29,230 --> 00:30:34,270 +بدي أثبت إيه يا بنات؟ بدي أثبت إن المصوفة A بدي + +291 +00:30:34,270 --> 00:30:40,130 +أثبت إن المصوفة B هي نفس المصوفة من C يبقى بداجي + +292 +00:30:40,130 --> 00:30:49,330 +أقول له consider خدلي المصوفة B إيش رأيك الـ B + +293 +00:30:49,330 --> 00:30:56,650 +هذه؟ مش هي عبارة عن B في ال identity صح ولا لأ؟ + +294 +00:30:56,650 --> 00:31:04,090 +صح؟طيب هذه بدها تساوي ال identity بقدر اشيلها و + +295 +00:31:04,090 --> 00:31:09,350 +اكتب بدالها اي واحدة من هدول صح يبقى هذه ال + +296 +00:31:09,350 --> 00:31:13,510 +identity بدها احط مثلا ال AC + +297 +00:31:15,520 --> 00:31:20,180 +طب ليش مااخدتش ولا واحدة من هدول؟ بقول اه لأنه انا + +298 +00:31:20,180 --> 00:31:25,780 +بدي اثبت انه B تساوي C، اذا بدي ادخل C معانا، مشان + +299 +00:31:25,780 --> 00:31:31,940 +نقدر نوصل لها، يبقى انا شيلت ال identity matrix IN + +300 +00:31:31,940 --> 00:31:38,570 +وحطيت بدلها ICالامن خاصية ال associative على + +301 +00:31:38,570 --> 00:31:47,580 +المصوفات يبقى هادي عبارة عن بي في المصوفة Cبترجع + +302 +00:31:47,580 --> 00:31:53,480 +هنا ال B في A بقداش بال identity matrix I N في + +303 +00:31:53,480 --> 00:31:58,700 +المصهوفة C ال identity matrix لما نضربها في أي + +304 +00:31:58,700 --> 00:32:03,840 +مصهوفة بيطلع مين؟ نفس المصهوفة يبقى بناءً عليه + +305 +00:32:03,840 --> 00:32:09,500 +صارت B تساوي مين؟ تساوي C يبقى معنى هذا الكلام انه + +306 +00:32:09,500 --> 00:32:16,110 +ماعنديش اللي Aمعكوس واحد فقط لا غير يبقى So P is + +307 +00:32:16,110 --> 00:32:24,230 +the unique inverse of the matrix A يبقى هنا So P + +308 +00:32:24,230 --> 00:32:31,330 +is the unique inverse + +309 +00:32:31,330 --> 00:32:36,550 +of + +310 +00:32:39,910 --> 00:32:48,730 +The Matrix A هو المعكوس الوحيد الذي لا يوجد غيره + +311 +00:32:52,370 --> 00:33:00,030 +طيب السؤال هو كيف يمكن إيجاد المعكوس لمصوفة ما؟ + +312 +00:33:00,030 --> 00:33:04,770 +احنا اتكلمنا وحطينا العنوان معكوس المصوفة حتى الآن + +313 +00:33:04,770 --> 00:33:09,050 +قلنا بس وجود المعكوس موجود و الله مش موجود و + +314 +00:33:09,050 --> 00:33:13,310 +واجداش و موحيد و الله مش واحد هذا الكلام لكن كيف + +315 +00:33:13,310 --> 00:33:18,310 +نجد هذا المعكوس لسه مش عارفين لذلك هروح نحط السؤال + +316 +00:33:18,310 --> 00:33:21,330 +التالي السؤال هو + +317 +00:33:24,770 --> 00:33:40,670 +to find a inverse for the n by n matrix A الشكل + +318 +00:33:40,670 --> 00:33:47,170 +لأن أنا الاجابة في أكثر من طريقة بالداخل ال first + +319 +00:33:47,170 --> 00:33:55,140 +method الطريقة الأولى لإيجاد المعكوسخطوتين لثالث + +320 +00:33:55,140 --> 00:34:06,380 +لهم الخطوة الأولى write the argumented matrix + +321 +00:34:06,380 --> 00:34:18,740 +اكتب المصوفة الموسعة a ومعها مين مصوفة الوحدة نمر + +322 +00:34:18,740 --> 00:34:22,380 +اتنين use + +323 +00:34:25,130 --> 00:34:32,910 +Echelon form use + +324 +00:34:32,910 --> 00:34:40,050 +echelon form to write to + +325 +00:34:40,050 --> 00:34:45,710 +write the + +326 +00:34:45,710 --> 00:34:51,270 +matrix ايه + +327 +00:34:51,270 --> 00:35:10,070 +معالـ I N A مع ال I N in the form في الشكل I N و + +328 +00:35:10,070 --> 00:35:19,850 +بعدين B then B اللي بتطلع بتكون هي معكوس المصفوفة + +329 +00:35:19,850 --> 00:35:23,190 +A نعطي مثال + +330 +00:35:38,720 --> 00:35:41,220 +معكس المصفوفة + +331 +00:35:44,950 --> 00:35:57,290 +1 3-1 0 1 2-1 0 8 بالشكل اللي عندنا + +332 +00:36:00,630 --> 00:36:07,630 +أنا عندي مصوفة مربعة A عدد صفوفها N و عدد أعملاتها + +333 +00:36:07,630 --> 00:36:12,850 +N بقول كيف بدك تجيب المعكوس لهذه المصوفة بقوله + +334 +00:36:12,850 --> 00:36:19,410 +خطوتان لثالث لهماالخطوة الأولى write the + +335 +00:36:19,410 --> 00:36:23,950 +geometrical matrix A و I in يعني بده احط المصوفة A + +336 +00:36:23,950 --> 00:36:29,770 +وجانبها مصوفة ال واحدة اعتبرهم كلهم مصوفة موسعة + +337 +00:36:29,770 --> 00:36:33,910 +مصوفة واحدة الخط هذا بس مشان يحد فاصل ما بين + +338 +00:36:33,910 --> 00:36:38,240 +الاتنين لكن كلها مصوفة واحدةالخطوة التانية هي + +339 +00:36:38,240 --> 00:36:44,220 +استخدام الـ ocean floor لحوّل الـ A على اليمين + +340 +00:36:44,220 --> 00:36:48,240 +والـ I on الشمال يعني انا بدي اخلّي ال identity + +341 +00:36:48,240 --> 00:36:53,200 +matrix في الشجة الشمال وهذه A بس ماتضلش A هتتلخبط + +342 +00:36:53,200 --> 00:36:58,740 +هذه لما تتلخبط هسميها B دي بدي اكتبها على شكل I N + +343 +00:36:58,740 --> 00:37:04,050 +وB كمصوفة موسعةب اللي بتطلع هذي بتكون هي مين هي + +344 +00:37:04,050 --> 00:37:09,870 +معكوس المصوفة و اذا مش مصدقة فبنضرب التنتين في بعض + +345 +00:37:09,870 --> 00:37:19,230 +و لازم النتيج يطلعidentity matrix المعكوس + +346 +00:37:19,230 --> 00:37:22,990 +المصفوفة اللي قدامنا هذه إذا أنا بدي أطبقله + +347 +00:37:22,990 --> 00:37:27,010 +الخطوطين اللي قلنا عليهم يبقى بدايجي أخدله ال + +348 +00:37:27,010 --> 00:37:33,930 +argumentive matrix اللي هي ال A مع مين مع المصفوفة + +349 +00:37:33,930 --> 00:37:39,310 +I يبقى هذا الكلام بده يساويهذه المصوفة هاي واحد + +350 +00:37:39,310 --> 00:37:45,170 +هاي تلاتة هاي سالب واحد Zero واحد اتنين سالب واحد + +351 +00:37:45,170 --> 00:37:49,590 +Zero تمانية هو Y الخاطر المصوفة الواحدة واحد من + +352 +00:37:49,590 --> 00:37:56,480 +نفس النظامها Zero واحد Zero Zero Zero واحدأعمل + +353 +00:37:56,480 --> 00:38:00,840 +اللي بدك هي رياضيا بحيث أخلي مصوفة الوحدة في هذا + +354 +00:38:00,840 --> 00:38:06,400 +المكان وهذه تنتقل بأرقام جديدة لوين إلى اليامين + +355 +00:38:06,400 --> 00:38:12,570 +كويس يبقى مشان هيك أنا بدي هذا يكون جداشبدي zero + +356 +00:38:12,570 --> 00:38:17,770 +إذا حضر بالصف الأول أو أضيف الصف الأول للصف التالت + +357 +00:38:17,770 --> 00:38:26,070 +يبقى باجي بقوله هذا مباشرة R1 to R3 ليش؟ لإن R2 + +358 +00:38:26,070 --> 00:38:32,730 +جاهز مش محتاج حاجة يبقى هاي واحد تلاتة سالب واحد و + +359 +00:38:32,730 --> 00:38:38,780 +واحد Zero Zero هيقفلنانجي لبعده زي ما هو Zero واحد + +360 +00:38:38,780 --> 00:38:44,500 +اتنين Zero واحد Zero اضفنا إضافة يبقى هنا Zero + +361 +00:38:44,500 --> 00:38:51,600 +وهنا تلاتة تمام؟ واضفنا يبقى هنا سبعة واضفنا يبقى + +362 +00:38:51,600 --> 00:38:57,060 +هنا واحد وهنا Zero وهنا واحد لأنه إضافة ماسويتش + +363 +00:38:57,060 --> 00:39:06,260 +أشياء واضحة زين؟ في أي تسويل؟ طيب، نكملالحين ان + +364 +00:39:06,260 --> 00:39:11,900 +هذا الشخص يأتي للـ leading اللي عندنا هنابتخلّي + +365 +00:39:11,900 --> 00:39:15,880 +اللي تحته Zero و اللي فوقه Zero يبقى بده أضربه سلب + +366 +00:39:15,880 --> 00:39:21,180 +تلاتة و أضيفه للصف الأول و الصف الثالث يبقى هنا + +367 +00:39:21,180 --> 00:39:34,100 +سالب تلاتة R2 سالب تلاتة R2 to R1 and to R3 بيصير + +368 +00:39:34,100 --> 00:39:39,650 +بالشكل التالي طبعا هنا واحد وهنا Zeroو لما ضربت في + +369 +00:39:39,650 --> 00:39:45,610 +سالب تلاتة بيصير سالب ستة و سالب واحد سالب سبعة + +370 +00:39:45,610 --> 00:39:51,910 +سالب تلاتة بيصير هنا واحد زي ما هي و هنا سالب + +371 +00:39:51,910 --> 00:39:58,580 +تلاتة مظبوط يا بنات؟وهذا zero زي ما هو نجي هذا + +372 +00:39:58,580 --> 00:40:05,400 +zero واحد اتنين zero واحد zero الان بده اضيفه للصف + +373 +00:40:05,400 --> 00:40:11,720 +اللي بعد يبقى zero zero سالب ستة بيضل هنا واحد و + +374 +00:40:11,720 --> 00:40:17,660 +بعد هيك هنا بيضل واحد زي ما هو و هنا ضربنا في سالب + +375 +00:40:17,660 --> 00:40:24,080 +تلاتة بيصير هنا سالب تلاتة و هنا واحد زي ما هو + +376 +00:40:26,750 --> 00:40:34,190 +الحين احنا جاهزين بدي اخلي هذا Zero واخلي هذا Zero + +377 +00:40:34,190 --> 00:40:40,830 +يبقى سبعة R تلاتة to R one يبقى انا بدي اعمل ما + +378 +00:40:40,830 --> 00:40:48,510 +ياتي سبعة R تلاتة to R one وفي نفس الوقت سالي + +379 +00:40:48,510 --> 00:40:55,280 +باتنين R تلاتة to R twoيبقى بيصبح هذا المصوفة على + +380 +00:40:55,280 --> 00:41:01,260 +الشكل التالي هذا واحد زي ما هو وماعناش مشكلة تمام؟ + +381 +00:41:01,260 --> 00:41:08,120 +وهذا زيرو زي ما هو وهذا بيصير زيرو هلها مضربين هذا + +382 +00:41:08,120 --> 00:41:14,580 +في جداش قلنا؟في سبعة سبعة في واحد سبعة وواحد + +383 +00:41:14,580 --> 00:41:20,580 +تمانية سبعة في تلاتة سالب واحد وعشرين يبقى سالب + +384 +00:41:20,580 --> 00:41:26,410 +اربعة وعشرين سبعة في واحد في سبعة يبقى سبعةخلصنا + +385 +00:41:26,410 --> 00:41:32,650 +الصفة الأولة الان بدي اضربه في سالب اتنين واضيفه + +386 +00:41:32,650 --> 00:41:38,370 +فوق بصير zero و بصير هنا سالب اتنين و بصير هنا + +387 +00:41:38,370 --> 00:41:44,310 +سبعة لان اضربه في سالب اتنين بصير ستة واحد سبعة + +388 +00:41:44,310 --> 00:41:52,370 +الان سالب اتنين يبقى سالب اتنين هنا zero zero واحد + +389 +00:41:52,370 --> 00:42:00,020 +واحد سالب تلاتةواحد بالشكل اللي عناهأيوة يبقى ايش + +390 +00:42:00,020 --> 00:42:04,760 +بيقوللي الخطوة التانية استخدم الاشيلون form مشان + +391 +00:42:04,760 --> 00:42:09,640 +تكتب ال matrix a في ال identity المصفوفة الموسعة + +392 +00:42:09,640 --> 00:42:14,460 +مشان نكتب ال identity مع بي كمصفوفة موسعة اظن + +393 +00:42:14,460 --> 00:42:21,160 +كتبناها يبقى بي مين هي المصفوفة هذه يبقى هذا بده + +394 +00:42:21,160 --> 00:42:26,320 +يعطيكي the inverse matrix + +395 +00:42:27,970 --> 00:42:39,130 +of a is بيتساوي بيتساوي تمانية سالب اربعة وعشرين + +396 +00:42:39,130 --> 00:42:47,530 +وسبعة وسالب اتنين وسبعة وسالب اتنين وواحد وسالب + +397 +00:42:47,530 --> 00:42:56,760 +تلاتة وكمان جداش وكمان واحد تمام؟ طيبالان هذه هي + +398 +00:42:56,760 --> 00:43:01,120 +الطريقة الأولى يا بنات للحصول على معكوس المصوفة + +399 +00:43:01,120 --> 00:43:06,420 +الان عندك فراغ بعد نمطها ان شاء الله جربي أضرب + +400 +00:43:06,420 --> 00:43:10,800 +المصوفة هذه في المصوفة هذه وشوف يطلع معاك مصوفة + +401 +00:43:10,800 --> 00:43:15,920 +الواحدة ولا لا بس بدي أعطيكي الطريقة الثانية كنظري + +402 +00:43:15,920 --> 00:43:20,720 +و بنحل المثال نفسه في المحاضرة القادمة بعد الظهر + +403 +00:43:20,720 --> 00:43:25,550 +ان شاء الله بالطريقة الجديدةيبقى بدأتي لـ second + +404 +00:43:25,550 --> 00:43:34,670 +method second method الطريقة الثانية نمر واحد + +405 +00:43:34,670 --> 00:43:47,050 +بنعمل تلت خطوات replace استبدل each element a i j + +406 +00:43:48,530 --> 00:43:54,570 +في الماتريكس A في الماتريكس + +407 +00:43:54,570 --> 00:44:07,710 +A من الـ Cofactor من الـ Cofactor من الـ Cofactor + +408 +00:44:07,710 --> 00:44:11,890 +من AIG + +409 +00:44:11,890 --> 00:44:16,090 +وهو IN + +410 +00:44:17,540 --> 00:44:32,360 +replace استبدل a i j by by a i j بدي اسوي السلب + +411 +00:44:32,360 --> 00:44:39,860 +واحد مرفوع للأس واحد زائد j في ال minor اللي هو m + +412 +00:44:39,860 --> 00:44:40,900 +i j + +413 +00:44:45,820 --> 00:44:52,680 +هذه الخطوة الأولى الخطوة الثانية take the + +414 +00:44:52,680 --> 00:45:00,120 +transpose of + +415 +00:45:00,120 --> 00:45:07,200 +the resulting matrix + +416 +00:45:07,200 --> 00:45:13,620 +resulting matrix in part one + +417 +00:45:16,180 --> 00:45:24,620 +part one and denoted + +418 +00:45:24,620 --> 00:45:28,080 +it + +419 +00:45:28,080 --> 00:45:41,840 +by B and denoted it by B أعطيها الرمز B خطوة + +420 +00:45:41,840 --> 00:45:54,750 +التالتة والأخيرة findA inverse from the formula من + +421 +00:45:54,750 --> 00:46:04,730 +الصيغة A inverse يسوى واحد على ال determinant لل A + +422 +00:46:04,730 --> 00:46:08,790 +هذا كله في المصوفة B + +423 +00:46:18,720 --> 00:46:19,280 +ماذا بحاجة؟ + +424 +00:46:28,860 --> 00:46:32,620 +يبقى باختصار بدنا نعمل ثلاث خطوات الخطوة الأولى + +425 +00:46:32,620 --> 00:46:38,420 +بدي أشيل كل a ij و أضع كوفكتور تبعه ناقص واحد من + +426 +00:46:38,420 --> 00:46:44,360 +aij في ال m ij الخطوة الثانية بدي أجيب مدور هذه + +427 +00:46:44,360 --> 00:46:50,300 +المصوفة اللى نتجت في الخطوة الأولىخطوة تالتة + +428 +00:46:50,300 --> 00:46:53,240 +المصوفة اللى حصلت عليها بدي أضربها في واحد على + +429 +00:46:53,240 --> 00:46:59,320 +محدد المصوفة وهذا يتفق مع الكلام اللى قبل قليل ليش + +430 +00:46:59,320 --> 00:47:05,680 +محدد المصوفة لا يساوي zero لأن لو كان المحدد يساوي + +431 +00:47:05,680 --> 00:47:09,470 +zero هل بقدر أجيب هذا المعكوس؟يبقى فيش مكان يبقى + +432 +00:47:09,470 --> 00:47:14,650 +هذا الكلام الذي ادعيناه قبل قليل الآن السبب في أن + +433 +00:47:14,650 --> 00:47:19,930 +المحدد لا يساوي zero يبقى بدي أخل المعكوس exist + +434 +00:47:19,930 --> 00:47:25,490 +وإلا لو كان المحدد يساوي zero لأصبح المعكوس غير + +435 +00:47:25,490 --> 00:47:27,310 +موجود أعطيكم العافية + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/OshDqhIzcK8_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/OshDqhIzcK8_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..0580cee87cf575a4cb12ef80f16612e9a498ca1e --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/OshDqhIzcK8_raw.srt @@ -0,0 +1,1580 @@ +1 +00:00:20,500 --> 00:00:25,220 +بسم الله الرحمن الرحيم الأخر حاجة أخدناها المرة + +2 +00:00:25,220 --> 00:00:30,220 +اللي فيها كانت نظرية ونتيجة عليها وكانت النتيجة لو + +3 +00:00:30,220 --> 00:00:35,140 +عندي diagonal matrix وهذه ال diagonal كانت scalar + +4 +00:00:35,140 --> 00:00:39,880 +matrix وضربت ال scalar matrix من جهة الشمال في + +5 +00:00:39,880 --> 00:00:44,640 +المصحوف أيه يسوى تماما الرقم اللي موجود في ال + +6 +00:00:44,640 --> 00:00:49,560 +scalar matrix كما لو ضربته في مين في المصحوف أيه + +7 +00:00:49,950 --> 00:00:53,930 +فقلنا دياجونال متريكس أو ال scalar دياجونال متريكس + +8 +00:00:53,930 --> 00:01:00,050 +C ضربناها في أيه؟ بدي نسوي الرقم C مضروب في أيه؟ + +9 +00:01:00,050 --> 00:01:04,490 +اللي هو المصموم في أيه؟ هذا آخر ما كتبتيه المرة + +10 +00:01:04,490 --> 00:01:10,280 +الماضيةبنعطي مثال على ذلك بقول لو كان المصروفة A + +11 +00:01:10,280 --> 00:01:15,800 +هي المصروفة اللي قدامنا هذه والمصروفة C هي ال + +12 +00:01:15,800 --> 00:01:21,240 +scalar matrix 30000030003 + +13 +00:01:21,720 --> 00:01:27,760 +جالي هاتلي حصل ضرب المفتوحتين C كبتن في A و كذلك + +14 +00:01:27,760 --> 00:01:33,280 +حصل ضرب الرقم تلاتة في المصفوفة A what can you say + +15 +00:01:33,280 --> 00:01:38,680 +و إيش ممكن تقول عن النتائج اللي بنحصل عليها في كلا + +16 +00:01:38,680 --> 00:01:44,020 +الأمرين الآن المصفوفة اللي عندي هذه تلاتة في أربع + +17 +00:01:44,230 --> 00:01:49,430 +تمام هذه المصفوفة عبارة عن ايش تلاتة في تلاتة اذا + +18 +00:01:49,430 --> 00:01:59,770 +لا يمكن ضرب هذه المصفوفة تمام لا احنا بنضرب اذا C + +19 +00:01:59,770 --> 00:02:06,950 +في A وليس A في C اذا اللي مطلوب هنا CA وليست AC + +20 +00:02:06,950 --> 00:02:09,570 +فبعدين بقوله هنا solution + +21 +00:02:13,030 --> 00:02:20,570 +بناخد C في الـ A يبقى C اللي هي تلاتة Zero Zero + +22 +00:02:20,570 --> 00:02:28,230 +Zero تلاتة Zero Zero تلاتة مضروبة في اتنين تلاتة + +23 +00:02:28,230 --> 00:02:34,070 +واحد سالب واحد واحد سالب اتنين واحد Zero Zero واحد + +24 +00:02:34,070 --> 00:02:39,570 +اتنين تلاتةيبقى هذه النظامة تلاتة في تلاتة وهذه + +25 +00:02:39,570 --> 00:02:44,230 +تلاتة في أربع إذا يمكن ضرب هتين المصفوف هتين + +26 +00:02:44,230 --> 00:02:49,330 +والنتج هو تلاتة في أربع يبقى لو جيت ضربت هذه + +27 +00:02:49,330 --> 00:02:53,650 +المصفوف هيكون حاصل الضرب على الشكل التالي الصف + +28 +00:02:53,650 --> 00:02:57,550 +الأول في العمود الأول تلاتة في اتنين في ستة + +29 +00:02:57,550 --> 00:03:03,560 +والباقيأصفرًا صفر الأول في العمود الثاني يبقى + +30 +00:03:03,560 --> 00:03:08,560 +بالنظر بالتلاتة في تلاتة والباقي أصفرًا تلاتة في + +31 +00:03:08,560 --> 00:03:14,080 +تلاتة بقداش بتسعة اللي بعده تلاتة في واحد بتلاتة + +32 +00:03:14,080 --> 00:03:20,040 +وهذا سالب تلاتة يبقى هذا الصفر الأول بدأجي للصفر + +33 +00:03:20,040 --> 00:03:25,640 +الثاني في العمود الأول Zero تلاتة في واحد بتلاتة + +34 +00:03:25,640 --> 00:03:26,900 +والباقي Zero + +35 +00:03:34,200 --> 00:03:42,540 +الصف الثاني في العمود التالت يبقى الصف الثاني في + +36 +00:03:42,540 --> 00:03:50,630 +العمود الـ 0 سلب 6هذا سالب ستة الصف هذا في العمود + +37 +00:03:50,630 --> 00:03:56,030 +التالت هذه اللي هي بتلاتة الصف هذا في العمود هذا + +38 +00:03:56,030 --> 00:04:02,590 +يبقى Zero Zero Zero يبقى كله ب Zero نيجي الصف + +39 +00:04:02,590 --> 00:04:07,870 +التالت في العمود اللي هو Zero Zero Zero كذلك زي ما + +40 +00:04:07,870 --> 00:04:18,390 +هو ب Zero بعد ذلك Zero Zero تلاتةاللي بعده 003×2×6 + +41 +00:04:18,390 --> 00:04:23,410 +اللي بعده 003×3×9 + +42 +00:04:23,410 --> 00:04:28,170 +بالشكل اللي عندنا هذا يبقى هذا حاصل ضرب ال scholar + +43 +00:04:28,170 --> 00:04:32,830 +diagonal matrix اللي عندنا هذا في مين في ايه الآن + +44 +00:04:32,830 --> 00:04:38,570 +بالدرجة اشوف C في ايه C اليومين الرقم 3يبقى + +45 +00:04:38,570 --> 00:04:44,450 +بالداجي الا تلاتة في المصوفة ايه؟ يبقى تلاتة في + +46 +00:04:44,450 --> 00:04:50,550 +المصوفة ايه؟ اتنين تلاتة واحد ناقص واحد ناقص اتنين + +47 +00:04:50,550 --> 00:04:58,290 +واحد زير واحد اتنين تلاتة يساويالتلاتة عندما + +48 +00:04:58,290 --> 00:05:03,090 +أضربها في المصوفة أضربها في جميع أناصر المصوفة + +49 +00:05:03,090 --> 00:05:08,250 +بالاستثناء يبقى تلاتة في اتنين بستة تلاتة في تلاتة + +50 +00:05:08,250 --> 00:05:15,070 +بتسعة تلاتة سالب تلاتة وهنا تلاتة وهنا سالب ستة + +51 +00:05:15,070 --> 00:05:20,070 +وهنا تلاتة في واحد بتلاتة وهنا Zero وهنا كمان Zero + +52 +00:05:20,070 --> 00:05:25,930 +وهنا تلاتة ستة تسعة بالشكل اللي عندنا هذاتعالى + +53 +00:05:25,930 --> 00:05:30,990 +قارنى بين النتجتين الاول ضربنا مصوفتين في بعض هنا + +54 +00:05:30,990 --> 00:05:36,370 +ضربنا الرقم في مصوشه و بتلاحظوا انها نتجتين اتنتين + +55 +00:05:36,370 --> 00:05:42,710 +are equal يبقى هذا معناه على طول الخط انه capital + +56 +00:05:42,710 --> 00:05:49,810 +C في ال A بده يساوي مين بده يساوي اللى هو تلاتة ا + +57 +00:05:49,810 --> 00:05:55,130 +مباشرةلأنه قال لي ايش بتقدر تقول عن النتيجة فبقول + +58 +00:05:55,130 --> 00:06:00,250 +له حصل ضرب ال scalar matrix A في ال A بدي يساوي + +59 +00:06:00,250 --> 00:06:04,870 +حصل ضرب 3 في A وهذا تطبيق مباشر على الكرولري تبع + +60 +00:06:04,870 --> 00:06:12,230 +المرة الماضيةننتقل الآن إلى تعريف جديد أو ثلاث + +61 +00:06:12,230 --> 00:06:17,890 +تعريفات وهي very important لأنها بتجيبلي معلومات + +62 +00:06:17,890 --> 00:06:24,330 +جديدة يعني مش درجة عندنا قبل ذلك معلومات جديدة + +63 +00:06:24,330 --> 00:06:30,250 +يبقى بدنا نيجي إلى definitions التعريف الأول بيقول + +64 +00:06:30,250 --> 00:06:44,840 +if ال a is aم في ان matrix م في ان matrix we + +65 +00:06:44,840 --> 00:06:58,160 +define we define the transpose a transpose of a + +66 +00:06:58,160 --> 00:07:01,460 +written + +67 +00:07:07,860 --> 00:07:23,020 +و يُكتب as a transpose to be the n by m matrix + +68 +00:07:23,020 --> 00:07:33,060 +whose + +69 +00:07:33,060 --> 00:07:33,880 +elements + +70 +00:07:39,760 --> 00:07:49,300 +الأشياء التي تسميها a i j ترانسبوز تسمي اي جي اي + +71 +00:07:49,300 --> 00:07:53,640 +او + +72 +00:07:53,640 --> 00:07:53,740 +اي اي اي اي اي اي اي اي اي اي اي اي + +73 +00:08:07,470 --> 00:08:14,970 +اللي هو اتنين تلاتة واحد خمسة zero zero سالب واحد + +74 +00:08:14,970 --> 00:08:26,290 +واحد واحد اتنين تلاتة اربعة then a transpose تساوي + +75 +00:08:26,290 --> 00:08:28,790 +اللي هو main + +76 +00:08:47,710 --> 00:08:56,930 +تعريف الأول تعريف الثاني تعريف + +77 +00:08:56,930 --> 00:09:08,380 +الثانيA matrix A A matrix A is called symmetric is + +78 +00:09:08,380 --> 00:09:17,380 +called symmetric if + +79 +00:09:17,380 --> 00:09:33,110 +A transpose تساوي ال A المرة تلاتةA matrix A + +80 +00:09:33,110 --> 00:09:46,790 +is called skew symmetric skew + +81 +00:09:46,790 --> 00:09:54,490 +symmetric if A transpose تساوي سلب A + +82 +00:10:06,490 --> 00:10:15,050 +example determine whether + +83 +00:10:15,050 --> 00:10:23,110 +the following matrices + +84 +00:10:23,110 --> 00:10:26,550 +are + +85 +00:10:26,550 --> 00:10:29,270 +symmetric + +86 +00:10:32,520 --> 00:10:43,280 +or skew symmetric أصوفة + +87 +00:10:43,280 --> 00:10:47,660 +A تساوي + +88 +00:10:47,660 --> 00:10:58,000 +واحد اتنين تلاتة واحد اتنين تلاتة اربع سالب اتنين + +89 +00:10:58,000 --> 00:11:11,730 +خمسة واحدبتساوي Zero سالب تلاتة اتنين Zero سالب + +90 +00:11:11,730 --> 00:11:19,190 +تلاتة تلاتة Zero سالب واحد ناقص واحد واحد Zero + +91 +00:11:19,190 --> 00:11:20,170 +بالشكل ان + +92 +00:12:02,920 --> 00:12:07,800 +يبقى بيجي الان لمصحوفة J ده ايه ده لم نتعامل معها + +93 +00:12:07,800 --> 00:12:16,540 +من قبل هذه المصحوفة كالتالية يبقى فيها M + +94 +00:12:16,540 --> 00:12:22,220 +من الصفوف و N من الأعمدة بنعرف the transpose of A + +95 +00:12:22,220 --> 00:12:28,180 +يعني مدور المصحوفة A او بيسموه منقول المصحوفة A + +96 +00:12:28,180 --> 00:12:33,710 +اعتقد في الثانوية كنت بيسموه مدور المصحوفة Aيبقى + +97 +00:12:33,710 --> 00:12:37,950 +الـ Transpose of A هو مضاور مصحوفة written as A و + +98 +00:12:37,950 --> 00:12:43,650 +بحط فجهة T و تقرأ A Transpose يعني Transpose of + +99 +00:12:43,650 --> 00:12:49,090 +Matrix A to be the N by M Matrix يبقى الصف بيصير + +100 +00:12:49,090 --> 00:12:56,070 +عمود و العمود مش بيصير صف يبقى ال N في Mن في m + +101 +00:12:56,070 --> 00:13:03,790 +matrix whose elements aij transpose هو aji يبقى مش + +102 +00:13:03,790 --> 00:13:06,730 +عادي أجيب ليه ال transpose تبع ال element ببدل + +103 +00:13:06,730 --> 00:13:10,330 +الصف عمود و العمود صف يعني ال answer كان في الصف + +104 +00:13:10,330 --> 00:13:14,390 +الثاني و العمود الأول بصير في الصف الأول و العمود + +105 +00:13:14,390 --> 00:13:19,030 +الثاني و هكذا نعطي مثال for example لو كانت + +106 +00:13:19,030 --> 00:13:23,110 +المصوفة اللي عندنا هذهبدي أجيب الـ A transpose + +107 +00:13:23,110 --> 00:13:28,470 +تبعها يبقى الصف الأول بدي أخليه العمود الأول الصف + +108 +00:13:28,470 --> 00:13:31,730 +الثاني بدي أخليه العمود التاني الصف التالت بدي + +109 +00:13:31,730 --> 00:13:36,790 +أخليه العمود التالت يبقى 2 3 1 5 هو العمود الأول + +110 +00:13:36,790 --> 00:13:42,230 +طلع 2 3 1 5 الصف الثاني بدي أخليه العمود التاني + +111 +00:13:42,230 --> 00:13:50,420 +يبقى 00-1 1 00-1 1لأن صفة تالت بتخلي العمود تلو 1 + +112 +00:13:50,420 --> 00:13:56,420 +2 3 4 يكون 1 2 3 4 يبقى إذا خلت الصفوف أعمدة و + +113 +00:13:56,420 --> 00:14:01,060 +الأعمدة صفوف نظام المصوفة الأصلي كان M في N يبقى + +114 +00:14:01,060 --> 00:14:07,900 +نظام المصوفة الجديدة هو Nبنقلب الوضع يبقى هذا + +115 +00:14:07,900 --> 00:14:12,060 +بالنسبة للتعريف الأول التعريف الثاني symmetric + +116 +00:14:12,060 --> 00:14:17,360 +matrix يعني مصفوفة متماثلة بقول عنها وقت أشهر لو + +117 +00:14:17,360 --> 00:14:23,870 +جبت لها transpose طلعت main نفس المصفوفة تمامأذا + +118 +00:14:23,870 --> 00:14:27,950 +لو جبت لترانسبوز للمصروفة وطلع نفس المصروفة بقول + +119 +00:14:27,950 --> 00:14:32,410 +هذي اللي هو symmetric matrix اللي هو التعريف الأول + +120 +00:14:32,410 --> 00:14:37,170 +بدأجي للتعريف الثاني لو جبت لترانسبوز ل matrix A + +121 +00:14:37,170 --> 00:14:46,540 +طلع نفس المصروفة A بإشارةسالة يبقى متمثل + +122 +00:14:46,540 --> 00:14:56,700 +متخلف متمثل متخلف متمثل متخلف متمثل + +123 +00:14:56,700 --> 00:15:03,240 +متخلفيبقى matrix is called skew symmetric لو تمثل + +124 +00:15:03,240 --> 00:15:09,160 +متخلف F الـ A في الـ A transpose مش الـ A ناقص + +125 +00:15:09,160 --> 00:15:16,760 +واحد صلحيها بالله A transpose بده يساوي سالب A + +126 +00:15:16,760 --> 00:15:22,630 +يبقى إذا كان الـ A transpose يساوي سالب Aالان مثال + +127 +00:15:22,630 --> 00:15:25,390 +بيقول دي determine whether the following matrices + +128 +00:15:25,390 --> 00:15:29,570 +are symmetric or skew symmetric اكملي على كل + +129 +00:15:29,570 --> 00:15:34,130 +مصفوفة من هذه المصفوفات هل هي سيمتريك ولا سكيوي + +130 +00:15:34,130 --> 00:15:41,560 +سيمتريك نمسك المصفوفة الأولىيبقى بضاجي اخد ال a + +131 +00:15:41,560 --> 00:15:48,840 +transpose يزاود الصف الأول بيصير العمود الأول يبقى + +132 +00:15:48,840 --> 00:15:53,560 +اي واحد اتنين تلاتة الصف الثاني بيصير العمود + +133 +00:15:53,560 --> 00:16:06,310 +التاني يبقى اتنين اربعة سالب اتنينيبقى تلاتة + +134 +00:16:06,310 --> 00:16:10,870 +نقص اتنين خمسة بالشكل اللي عندنا هذا ايش رايك؟ وهي + +135 +00:16:10,870 --> 00:16:17,250 +المصوفة الأصلية؟صح ولا لأ؟ يبقى هذا معناه ان A + +136 +00:16:17,250 --> 00:16:22,230 +Transpose بده يساوي A يبقى A عبارة عن ايه؟ + +137 +00:16:22,230 --> 00:16:30,310 +Symmetric Matrix يبقى هنا الـ A is a Symmetric + +138 +00:16:30,310 --> 00:16:33,530 +Matrix + +139 +00:16:33,530 --> 00:16:42,570 +يبقى مصوفا متمثلا andبالدالي للمصوفة B transpose + +140 +00:16:42,570 --> 00:16:49,010 +بدي اخل الصف الأول هو العمود الأول يبقى Zero سالب + +141 +00:16:49,010 --> 00:16:54,470 +تلاتة اتنين الصف التاني هو العمود التاني تلاتة + +142 +00:16:54,470 --> 00:16:58,890 +Zero سالب واحد الصف التالت هو العمود التالت يبقى + +143 +00:16:58,890 --> 00:17:04,270 +سالب واحد واحد Zero بالشكل اللي عنها هل هذا هو + +144 +00:17:04,270 --> 00:17:11,130 +المصوفة Bلأ طب خليني أجرب أخد سالب واحد عامل مشترك + +145 +00:17:11,130 --> 00:17:16,950 +يبقى لو جيت أخدت سالب واحد بيصير سالب هذا Zero زي + +146 +00:17:16,950 --> 00:17:23,370 +ما هو هذا سالب تلاتة هذا واحد هذا تلاتة هذا Zero + +147 +00:17:23,370 --> 00:17:30,830 +هذا سالب واحد هذا سالب اتنين هذا واحد هذا Zero هذه + +148 +00:17:30,830 --> 00:17:32,730 +هي المصوفة بيه ولا لأ؟ + +149 +00:17:53,240 --> 00:17:59,260 +بترانسبوز هي الصف الأول Zero سالب تلاتة اتنين + +150 +00:17:59,260 --> 00:18:03,360 +تلاتة Zero سالب واحد سالب واحد واحد + +151 +00:18:06,280 --> 00:18:13,860 +استنى استنى شوية استنى شوية براجع كتابتها المصفوف + +152 +00:18:13,860 --> 00:18:21,140 +بيه عندنا Zero سالب تلاتة اتنين تلاتة Zero سالب + +153 +00:18:21,140 --> 00:18:27,020 +واحد سالب اتنين هذه من عندك هذه سالب اتنين Zero + +154 +00:18:27,020 --> 00:18:32,710 +واحد بس خطأ في الكتابةإذا الصف الأول هو الـ A يبقى + +155 +00:18:32,710 --> 00:18:40,090 +هذه transpose يبقى الصف الأول هو العمود الأول الصف + +156 +00:18:40,090 --> 00:18:47,170 +الثاني يبقى هذه بدها تصير سالب اتنينيبقى الصفت من + +157 +00:18:47,170 --> 00:18:52,930 +سلب اتنين واحد زيرو الان بداش ياخد سلب عمل مشترك + +158 +00:18:52,930 --> 00:19:00,770 +بيصير هادي اتنين تمام هادي اتنين و هادي تلاتة زيرو + +159 +00:19:00,770 --> 00:19:05,130 +سلب واحد و هادي سلب اتنين واحد زيرو اطلعيلي + +160 +00:19:05,130 --> 00:19:09,100 +المصوفة هذه هي اللي هي المصوفة اللي فوقيبقى هى + +161 +00:19:09,100 --> 00:19:13,320 +المصيفة اللى فوق بالضبط تماما يبقى هدى بدى يسوى + +162 +00:19:13,320 --> 00:19:19,740 +مين سالب بى إذا بيترانسبوز سوى تسالب بى يبقى هنا + +163 +00:19:19,740 --> 00:19:24,960 +بيساسكيوي + +164 +00:19:24,960 --> 00:19:29,940 +symmetric matrix + +165 +00:19:37,920 --> 00:19:43,380 +طيب مجرد ملاحظة على هذه المصوفة لو طلعنا للمصوفة A + +166 +00:19:43,380 --> 00:19:48,640 +ثم لمصوفة B ها لو بدى أستنتج السنتين قبل ما أبدأ + +167 +00:19:48,640 --> 00:19:53,340 +أشتغل باجي باطلع في المصوفة A لاحظ الصف الأول هو + +168 +00:19:53,340 --> 00:19:58,520 +العمود الأول العنصر هذا هو العنصر هذا و القطة + +169 +00:19:58,520 --> 00:20:03,110 +الرئيسية مش مشكلة مينما يكون يكونتمام؟ لماذا؟ لأن + +170 +00:20:03,110 --> 00:20:08,050 +under transpose كل العناصر القطرية تبقى كما هي هذا + +171 +00:20:08,050 --> 00:20:12,190 +ايه ده كانت مصوفة مربعة يبقى بتبقى العناصر كما هي + +172 +00:20:12,190 --> 00:20:15,970 +ماعناها مشكلة تعالى لأن المصوفة بيه ايش بتلاحظ على + +173 +00:20:15,970 --> 00:20:21,990 +القطر الرئيسي كله أصفرا يبقى في حالة ال skew ال + +174 +00:20:21,990 --> 00:20:27,030 +symmetric والمصوفة مربعة لازم يكونوا عناصر القطر + +175 +00:20:27,030 --> 00:20:33,590 +الرئيسي أصفراإتنان مشان اللي المصحوفة تطلع اللي هو + +176 +00:20:33,590 --> 00:20:37,950 +ال transpose هو نفسها لازم تكون المصحوفة عندى + +177 +00:20:37,950 --> 00:20:44,730 +مصحوفة مربعة تمام يبقى symmetric و skew symmetric + +178 +00:20:44,730 --> 00:20:49,280 +لازم الأصل تبقى مصحوفة مربعةالكلام اللى بقوله + +179 +00:20:49,280 --> 00:20:55,460 +هضطرك في صيغة الملاحظات التالية يعني لو جيبنالك + +180 +00:20:55,460 --> 00:20:59,020 +مصفوفة مستطيلة و قولنا لك هذه symmetric و الله + +181 +00:20:59,020 --> 00:21:03,000 +ماهياش symmetric من دون ما تشتغلي بدك تقول هذه + +182 +00:21:03,000 --> 00:21:08,360 +ماهياش symmetric لأن عدد الصفوف إذا ماسواش عدد + +183 +00:21:08,360 --> 00:21:13,480 +الأعمدة لما جيبلي transpose لايمكن تطلع المصفوفة + +184 +00:21:13,480 --> 00:21:20,830 +الأصلية بأي حال من الأحواليبقى الملاحظة كتالة + +185 +00:21:20,830 --> 00:21:28,890 +remark هجسمها + +186 +00:21:28,890 --> 00:21:40,090 +إلى ثلاث نقاط النقطة الأولى the symmetric and + +187 +00:21:40,090 --> 00:21:44,310 +skew symmetric + +188 +00:21:58,170 --> 00:22:04,870 +must be يجب + +189 +00:22:04,870 --> 00:22:14,290 +أن تكون a² matrix الملاحظة + +190 +00:22:14,290 --> 00:22:20,020 +الثانية دا دا يقول ال matrixof the diagonal + +191 +00:22:20,020 --> 00:22:30,200 +elements of + +192 +00:22:30,200 --> 00:22:34,040 +a + +193 +00:22:34,040 --> 00:22:45,820 +square matrix A and A transpose + +194 +00:22:48,290 --> 00:22:57,350 +are the same that + +195 +00:22:57,350 --> 00:23:04,890 +is أي أن الـ + +196 +00:23:04,890 --> 00:23:14,950 +AII transpose هو عبارة عن الـ AII for all I النقطة + +197 +00:23:14,950 --> 00:23:22,950 +الثالثةand askew symmetric and askew + +198 +00:23:22,950 --> 00:23:28,170 +symmetric and + +199 +00:23:28,170 --> 00:23:32,850 +askew symmetric matrix + +200 +00:23:32,850 --> 00:23:36,850 +the + +201 +00:23:36,850 --> 00:23:44,390 +main diagonal القطر + +202 +00:23:44,390 --> 00:23:54,360 +الرئيسيالـ main diagonal elements are + +203 +00:23:54,360 --> 00:24:12,320 +zero يبقى دائما وابدا بتكون أصفرا that is that + +204 +00:24:12,320 --> 00:24:26,040 +isاللي هو الـ AII بده يساوي 0 for all I بنجي + +205 +00:24:26,040 --> 00:24:33,540 +ليه some properties of + +206 +00:24:33,540 --> 00:24:39,980 +a transpose matrix + +207 +00:24:41,720 --> 00:24:54,900 +بعد خواص مدور المصفوفة four a square matrices + +208 +00:24:54,900 --> 00:24:59,140 +matrices + +209 +00:24:59,140 --> 00:25:05,140 +a and b we have + +210 +00:25:10,340 --> 00:25:16,300 +النقطة الأولى A Transpose زي ال Transpose بده + +211 +00:25:16,300 --> 00:25:24,480 +يساوي A itself نمرة اتنين A زي B Transpose بده + +212 +00:25:24,480 --> 00:25:34,940 +يساوي A Transpose زي B Transpose تلاتة A + +213 +00:25:34,940 --> 00:25:42,600 +Btranspose بدي يسوي بي ترانسبوز في ال a transpose + +214 +00:25:42,600 --> 00:25:58,900 +نمرة أربع four any scalar c c a كله transpose + +215 +00:25:58,900 --> 00:26:02,960 +بيسوي c في ال a transpose + +216 +00:26:13,180 --> 00:26:26,560 +example example one show that show + +217 +00:26:26,560 --> 00:26:34,100 +that if ال a is + +218 +00:26:38,460 --> 00:26:45,100 +square matrix then + +219 +00:27:11,840 --> 00:27:17,280 +نمرة A الـ + +220 +00:27:17,280 --> 00:27:25,060 +A في الـ A Transpose and الـ A زائد الـ A + +221 +00:27:25,060 --> 00:27:33,400 +Transpose are symmetric نمرة + +222 +00:27:33,400 --> 00:27:44,930 +Vنمر بي ال a ناقص ال a transpose as a skew + +223 +00:27:44,930 --> 00:27:46,610 +symmetric + +224 +00:28:26,180 --> 00:28:29,100 +نرجع الكلام اللى احنا كاتبينه هذا مرة تانية + +225 +00:28:29,100 --> 00:28:35,140 +نتعرضله تفصيليا ثم نذهب الى حل المثال الأول على + +226 +00:28:35,140 --> 00:28:36,320 +هذا الموضوع + +227 +00:28:42,630 --> 00:28:49,450 +مثوفة المتماثلة أو شبه المتماثلة أو المتماثلة + +228 +00:28:49,450 --> 00:28:54,370 +تماثلة المتخالف اتنين مصوفتين مربعتين ليش ان عدد + +229 +00:28:54,370 --> 00:28:58,530 +الصفوف يسوى عدد الأعمدة فإن جلبتها تصبح عدد الصفوف + +230 +00:28:58,530 --> 00:29:04,740 +يسوى عدد الأعمدة يجب أن تكون مصوفة مربعةالنقطة + +231 +00:29:04,740 --> 00:29:07,580 +التانية الـ diagonal matrix في ال square matrix A + +232 +00:29:07,580 --> 00:29:12,240 +والـ A transpose are the same نفس الشيء يبقى مسحنا + +233 +00:29:12,240 --> 00:29:18,100 +شوية تول مصفوفة لما نعملنا عناصر قطر الرئيسي A11, + +234 +00:29:18,440 --> 00:29:23,760 +A22, A33 وإن نزل كله بتظل العنصر لأن العنصر موقع + +235 +00:29:23,760 --> 00:29:28,380 +في الصف ونفس موقع في العمود يبقى هذا لايتغير + +236 +00:29:28,380 --> 00:29:32,540 +بتغيره من العناصر الأخرى لكن عناصر القطر الرئيسي + +237 +00:29:32,540 --> 00:29:33,780 +تبقى كما هي + +238 +00:29:38,310 --> 00:29:49,210 +العنصر الذي يقع في الصف I و العمود رقم I يبقى + +239 +00:29:49,210 --> 00:29:54,800 +العنصر نفسه لايتغيرالنقطة التالتة في الـ SQL + +240 +00:29:54,800 --> 00:29:57,140 +Symmetric Matrix of the mean ده يجب ان ال elements + +241 +00:29:57,140 --> 00:30:03,900 +كله ماله أسفارا يعني ال aii بده يساوي zero لكل + +242 +00:30:03,900 --> 00:30:08,300 +اللي هو العناصر i لما تجيب ال transpose برضه + +243 +00:30:08,300 --> 00:30:14,940 +بظلمين برضه zero zero يعني بتقدر تقول ال aii بده + +244 +00:30:14,940 --> 00:30:20,520 +يساوي zero بده يساوي ال ai transpose هذا والله هذا + +245 +00:30:20,520 --> 00:30:28,560 +كله أسفاراطيب فى ل .. ليه transpose هذا للمصفوفة + +246 +00:30:28,560 --> 00:30:33,600 +اللى Transpose Matrix لها بعض الخواصة فبقول لو كان + +247 +00:30:33,600 --> 00:30:39,680 +عندى a و b مصفوفة تانى مربعتان ف m a transpose + +248 +00:30:39,680 --> 00:30:42,740 +Transpose Transpose Transpose Transpose Transpose + +249 +00:30:42,740 --> 00:30:43,280 +Transpose Transpose Transpose Transpose Transpose + +250 +00:30:43,280 --> 00:30:43,520 +Transpose Transpose Transpose Transpose Transpose + +251 +00:30:43,520 --> 00:30:43,760 +Transpose Transpose Transpose Transpose Transpose + +252 +00:30:43,760 --> 00:30:43,760 +Transpose Transpose Transpose Transpose Transpose + +253 +00:30:43,760 --> 00:30:43,760 +Transpose Transpose Transpose Transpose Transose + +254 +00:30:43,760 --> 00:30:50,040 +Transose Transose Transose Transose Transose + +255 +00:30:50,040 --> 00:30:50,560 +Transose Transose Transose Transose Transose + +256 +00:30:50,560 --> 00:30:50,720 +Transose Transose Transose Transose Transose + +257 +00:30:50,720 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +258 +00:30:50,780 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +259 +00:30:50,780 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +260 +00:30:50,780 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +261 +00:30:50,780 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +262 +00:30:50,780 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +263 +00:30:50,780 --> 00:30:50,780 +Transose Transose Transose Transose Transose + +264 +00:30:50,780 --> 00:30:51,950 +Transose Transose Transose Transoseيبقى بصير A + +265 +00:30:51,950 --> 00:30:56,710 +Transpose و Transpose هي مهم المصحوفة A لو كان A + +266 +00:30:56,710 --> 00:31:02,530 +زائد B Transpose جمعتهم ثم جبتلي Transpose تبعهم + +267 +00:31:02,530 --> 00:31:06,450 +تماما كما لو جبتلي Transpose للأولى و Transpose + +268 +00:31:06,450 --> 00:31:11,850 +للثانية و من ثم روحنا جمعنا هيعطيني نفس الناتجة + +269 +00:31:11,850 --> 00:31:15,810 +خاصية التالتة هذه بتختلف شوية هذه الأولانية + +270 +00:31:15,810 --> 00:31:19,870 +بالنسبة لعملية الجمع لكن التانية بالنسبة لعملية + +271 +00:31:19,870 --> 00:31:20,370 +الضرب + +272 +00:31:23,540 --> 00:31:32,500 +بنجلب وضع ال A و وضع ال B و نجلب + +273 +00:31:32,500 --> 00:31:32,500 +وضع ال A و نجلب وضع ال B و نجلب وضع ال A و نجلب + +274 +00:31:32,500 --> 00:31:32,500 +وضع ال B و نجلب وضع ال A و نجلب وضع ال B و نجلب + +275 +00:31:32,500 --> 00:31:33,260 +وضع ال A و نجلب وضع ال A و نجلب وضع ال B و نجلب + +276 +00:31:33,260 --> 00:31:34,920 +وضع ال A و نجلب وضع ال A و نجلب وضع ال A و نجلب + +277 +00:31:34,920 --> 00:31:37,080 +وضع ال A و نجلب وضع ال A و نجلب وضع ال A و نجلب + +278 +00:31:37,080 --> 00:31:37,080 +وضع ال A و نجلب وضع ال A و نجلب وضع ال A و نجلب + +279 +00:31:37,080 --> 00:31:37,480 +وضع ال A و نجلب وضع ال A و نجلب وضع ال A و نجلب + +280 +00:31:37,480 --> 00:31:44,310 +وضع ال A و نجلب وضع ال A و نطيب for any scalar C + +281 +00:31:44,310 --> 00:31:49,590 +يعني لأي عدد حقيقي الـC لو ضربت الـC في المصوفة + +282 +00:31:49,590 --> 00:31:55,570 +الـA و بعد ذلك جبتلها لترانسبوز تماما كما لو جبت + +283 +00:31:55,570 --> 00:31:58,970 +لترانسبوز لA و ضربت في ميهن الـC يعني الـconstant + +284 +00:31:58,970 --> 00:32:02,710 +ضربته قبل الترانسبوز والله بعد الترانسبوز على كل + +285 +00:32:02,710 --> 00:32:07,930 +الأمرين بيعطيني ميهن بيعطيني نفس النتيجةنعطي بعض + +286 +00:32:07,930 --> 00:32:12,830 +الأمثلة على كيفية تطبيق هذه الخاصة بيقول المثال هو + +287 +00:32:12,830 --> 00:32:17,550 +البيان إنه لو كانت اسمها صوفة مربعة يبقى المطلوب + +288 +00:32:17,550 --> 00:32:22,810 +الأول أثبتله إن الـA مضروبة في الـA transpose هي + +289 +00:32:22,810 --> 00:32:28,310 +symmetric وكذلك الـA زي الـA transpose هي man هي + +290 +00:32:28,310 --> 00:32:32,510 +symmetric هذا المطلوب الأول المطلوب التانيأثبت له + +291 +00:32:32,510 --> 00:32:35,990 +أن الـ A نقص الـ A Transpose هو Q أسم مترك + +292 +00:32:47,080 --> 00:32:51,720 +Symmetric يبقى بدي أخدلها لترانسبوز لما أخدلها + +293 +00:32:51,720 --> 00:32:57,240 +لترانسبوز بدي الناتج يطلع مين؟ المصفوف الأصلي ليه؟ + +294 +00:32:57,240 --> 00:33:03,140 +A في A ترانسبوز بقوله كويس هذا ترانسبوز لمين؟ + +295 +00:33:03,140 --> 00:33:07,160 +لحاصل الضرببيقول الـ A transpose اللي حصل الدرب + +296 +00:33:07,160 --> 00:33:12,400 +بدك تفكه و تقلب وضع كل واحدة فيهم يبقى هذه شو بدها + +297 +00:33:12,400 --> 00:33:18,240 +تصير A transpose A transpose في ال A transpose + +298 +00:33:18,240 --> 00:33:23,640 +يبقى هاي قلبنا الوضع تمام هذا الكلام جبته من وين؟ + +299 +00:33:23,640 --> 00:33:30,620 +من ال property تلاتة من هذا جبته من ال property + +300 +00:33:30,620 --> 00:33:36,690 +تلاتةطيب هذا الان بدى يساوي A ترانسبوز ترانسبوز + +301 +00:33:36,690 --> 00:33:42,910 +بمين؟ بA في ال A ترانسبوز يبقى هذا property مين؟ + +302 +00:33:42,910 --> 00:33:48,410 +one أول خاصية طيب إيش تفسيرك لهذه؟ هاي اللي بين + +303 +00:33:48,410 --> 00:33:52,110 +قوسين هي اللي طلعت عندها يبقى هذه معلها؟ symmetric + +304 +00:33:52,110 --> 00:33:58,390 +يبقى سواء اللي هو ال A في ال A ترانسبوز is + +305 +00:33:58,390 --> 00:34:00,770 +asymmetric + +306 +00:34:04,440 --> 00:34:12,620 +ماتريكس تمام بدنا نيجي and ال a زي ال a ترانسبوز + +307 +00:34:12,620 --> 00:34:18,180 +الكل ترانسبوز إذا + +308 +00:34:18,180 --> 00:34:21,400 +غيرت أثبت أنها تساوي اللي بينجو السين a زي a + +309 +00:34:21,400 --> 00:34:28,360 +ترانسبوز هيبقى بصير هاد a سيماتريك بقوله تمام باجي + +310 +00:34:28,360 --> 00:34:33,420 +برجع على الخاصية اللي عندنا هادىخاصية بيقول ا زائد + +311 +00:34:33,420 --> 00:34:38,540 +بي ترانسبوز يساوي ا ترانسبوز زائد بي ترانسبوز يبقى + +312 +00:34:38,540 --> 00:34:43,220 +بناء ان انا بقدر اقول له هذه ا ترانسبوز زائد ا + +313 +00:34:43,220 --> 00:34:46,620 +ترانسبوز ترانسبوز هذه property + +314 +00:34:49,830 --> 00:34:55,630 +property two تمام هذا الكلام يساوي a transpose + +315 +00:34:55,630 --> 00:35:00,150 +زائد a transpose ال transpose اللي you mean او هذه + +316 +00:35:00,150 --> 00:35:04,250 +property one الحين لما اقول يا بنات a transpose + +317 +00:35:04,250 --> 00:35:08,610 +زائد a والله a زائد transpose مش هي نفسها مش خدنا + +318 +00:35:08,610 --> 00:35:13,460 +عملية انجمع المصفات is commutativeيبقى بناء عليها + +319 +00:35:13,460 --> 00:35:20,440 +دي بدها تساوي A زائد A Transpose يبقى هنا سائل A + +320 +00:35:20,440 --> 00:35:34,220 +أقل زائد ال A زائد A Transpose is symmetric كويس + +321 +00:35:35,120 --> 00:35:41,240 +بعد ذلك قال اثبت لي ان ال A ناقص A ترانسبوز is S Q + +322 +00:35:41,240 --> 00:35:47,080 +سيماترك بقوله كويس يبقى بداجي ال A لنمرة B نمرة B + +323 +00:35:47,080 --> 00:35:53,120 +بداجي اخد له ال A ماينوس A ترانسبوز لكل ترانسبوز + +324 +00:35:56,760 --> 00:36:06,280 +هذه بقدر اقول وتساوي ا زائد ناقص واحد في ال a ا + +325 +00:36:06,280 --> 00:36:15,350 +transpose كله transpose صح ولا لا؟طب اطلعيلي هنا + +326 +00:36:15,350 --> 00:36:22,530 +لما يكون الرقم مضوب في ال a ناقص a transpose و هذه + +327 +00:36:22,530 --> 00:36:25,670 +ال transpose اللي برا هذا الكلام جيبته من أين يا + +328 +00:36:25,670 --> 00:36:30,450 +بنات؟ الخاصية أربعة يبقى هذا اللي هي property + +329 +00:36:30,450 --> 00:36:38,130 +أربعةبعد هيك بقدر ادخل Transpose على كل واحدة فيهم + +330 +00:36:38,130 --> 00:36:46,130 +يبقى هذا الكلام بده يساوي A Transpose زائد ناقص A + +331 +00:36:46,130 --> 00:36:54,850 +Transpose لكل Transpose هذه الخاصية من؟ الخاصية + +332 +00:36:54,850 --> 00:37:00,330 +التانية كيف نقولها؟ يبقى هذه property + +333 +00:37:06,420 --> 00:37:13,060 +two هذا الأن يبدو يساوي a ل Transpose زي ما هي + +334 +00:37:13,060 --> 00:37:18,380 +زائد الحين هذه ناقص a Transpose Transpose حسب + +335 +00:37:18,380 --> 00:37:25,520 +الخاصية الأولى يبقى هذا يبدو يساوي ناقص a فقط لا + +336 +00:37:25,520 --> 00:37:32,320 +غيريبقى هذا الكلام + +337 +00:37:32,320 --> 00:37:38,640 +يساويممكن اخد ناقص برا عامل مشترك من الكل يبقى لو + +338 +00:37:38,640 --> 00:37:44,320 +اخدت ناقص برا عامل مشترك من الكل بيظل a ناقص a + +339 +00:37:44,320 --> 00:37:49,280 +transpose يبقى معناته دي عبارة عن ايه اسكيوي + +340 +00:37:49,280 --> 00:37:57,100 +سيماتريك يبقى هنا السا ال a ناقص ال a transpose + +341 +00:38:11,590 --> 00:38:13,930 +بنعطي مثال + +342 +00:38:35,280 --> 00:38:43,180 +show that if ال + +343 +00:38:43,180 --> 00:38:53,060 +A and ال B are symmetric matrices + +344 +00:38:53,060 --> 00:38:53,780 +then + +345 +00:39:02,270 --> 00:39:14,510 +الـ A في B is symmetric if and only if ال + +346 +00:39:14,510 --> 00:39:17,470 +A في ال B بدي سوى ال B في ال A + +347 +00:39:31,610 --> 00:39:48,910 +علي بالكم السؤال + +348 +00:39:48,910 --> 00:39:53,520 +مرة تانيةبقول يبين إن لو كانت الـA والـB التنتين + +349 +00:39:53,520 --> 00:39:59,460 +symmetric يبقى حاصل ضربهم بيكون symmetric إذا كان + +350 +00:39:59,460 --> 00:40:03,000 +الـA في B بدي سوى الـB في A إذا كانوا commutative + +351 +00:40:03,000 --> 00:40:07,240 +والعكس بالعكس لأن هذه F and all F تعني إن البرهان + +352 +00:40:07,240 --> 00:40:14,440 +بدي يحصل في اتجاهينيبقى f and only f معناته لو كان + +353 +00:40:14,440 --> 00:40:18,340 +ال a في ال b بدي اسوي ال b في ال a يبقى بدنا نحاول + +354 +00:40:18,340 --> 00:40:23,920 +نثبته ان ال a و ال b are symmetric يبقى مشان ابرهن + +355 +00:40:23,920 --> 00:40:31,480 +يبقى assume يبقى بداجي اقوله assume افترض that ان + +356 +00:40:31,480 --> 00:40:36,680 +ال a and ال b are symmetric + +357 +00:40:43,590 --> 00:40:50,170 +بعد ذلك هذي معناها ان ال A Transpose بدي ساوي ال A + +358 +00:40:50,170 --> 00:40:57,570 +و ال B Transpose بدي ساوي ال Bهذه المعلومة انا بدي + +359 +00:40:57,570 --> 00:41:03,010 +استخدمها متى لازم ألقامها بيقول لي ايش ذنب ايه بيه + +360 +00:41:03,010 --> 00:41:08,910 +سيماتريك اف عنده الف يبقى انا بداجي اقول له اسيوم + +361 +00:41:08,910 --> 00:41:19,310 +افترض ذات ان ال a,b is symmetric ايش + +362 +00:41:19,310 --> 00:41:26,070 +بدي اثبتبدي اثبت انه a في b بدي سوى ال b في a يبقى + +363 +00:41:26,070 --> 00:41:34,530 +then ال a b transpose بدي سوى اللي هو ال a في ال b + +364 +00:41:35,740 --> 00:41:39,920 +مش هذا معنى لترانسبوز؟ انا فارض انه هذي symmetric + +365 +00:41:39,920 --> 00:41:44,640 +يبقى مناطق ال A B ترانسبوز بدي تسوى AB بدي ارجع + +366 +00:41:44,640 --> 00:41:52,300 +مرة تانية لمين لخواص ال A B ترانسبوز يبقى ال A B + +367 +00:41:52,300 --> 00:41:59,740 +ترانسبوز هي عبارة عن B ترانسبوز في ال A ترانسبوزو + +368 +00:41:59,740 --> 00:42:03,800 +هذي بده تساوي مين؟ بده تساوي A في الـB اللي عندنا + +369 +00:42:03,800 --> 00:42:09,420 +صحيح ولا لا؟ يبقى هذا معناه الـB transpose اللي هي + +370 +00:42:09,420 --> 00:42:13,880 +عبارة عن مين يا بناتي؟ B، بده اشيلها و احط مكانها + +371 +00:42:13,880 --> 00:42:19,560 +B الـA transpose هي عبارة عن مين؟ الـA، بده يساوي + +372 +00:42:19,560 --> 00:42:25,930 +مين؟وأظنها هو المطلوب خلصنا يبقى أخدت ال A بي ال + +373 +00:42:25,930 --> 00:42:30,890 +symmetric أثبت أن ال A بي يسوى ال B في ال A الآن + +374 +00:42:30,890 --> 00:42:35,910 +بدأي أعمل عملية عكسية يبقى بدأي أقول له conversely + +375 +00:42:35,910 --> 00:42:45,790 +و بالعكس assume that أن ال A في B بده يسوى ال B في + +376 +00:42:45,790 --> 00:42:48,110 +A إيش بده يثبت؟ + +377 +00:42:50,990 --> 00:42:56,590 +بدي أثبت إن الـ A في B is symmetric صح ولا لأ يبقى + +378 +00:42:56,590 --> 00:43:05,570 +بداجي أخدله الـ A بي Transpose بدي أثبت له إن هذه + +379 +00:43:05,570 --> 00:43:10,470 +تساوي 100 في B إذا أثبت له إنها A في B بتنتهي + +380 +00:43:10,470 --> 00:43:21,000 +قصتنا بقوله كويس هذا الكلام يساوي الان كيف؟هذا الـ + +381 +00:43:21,000 --> 00:43:29,000 +A B Transpose بقدر أكتب بدالها B A Transpose يبقى + +382 +00:43:29,000 --> 00:43:35,240 +هذا B A Transpose ليش؟ لأن الـ B في الـ A هي الـ A + +383 +00:43:35,240 --> 00:43:41,280 +في الـ B صح ولا لا؟ طيب هذا الكلام حسب الخواص بدي + +384 +00:43:41,280 --> 00:43:48,850 +يسوي A Transpose B Transposeمظبوط؟ طيب هذا الكلام + +385 +00:43:48,850 --> 00:43:53,910 +بده يسوي A Transpose هي مين؟ ب A و B Transpose هي + +386 +00:43:53,910 --> 00:43:58,490 +مين؟ ب B يبجى بناء علي أخدنا A B Transpose طلعت + +387 +00:43:58,490 --> 00:44:02,670 +مين؟ ب A يبجى ال A في B is symmetric يبجى هذا + +388 +00:44:02,670 --> 00:44:12,330 +معناه أن ال A B is symmetric وهو المطلوبطيب لحد + +389 +00:44:12,330 --> 00:44:16,490 +هنا stop انتهى هذا ال section وإلى يكون أرقام + +390 +00:44:16,490 --> 00:44:24,070 +المسائل من exercises اتنين سبعة المسائل التالية + +391 +00:44:24,070 --> 00:44:29,030 +اتنين + +392 +00:44:29,030 --> 00:44:35,930 +سبعة المسائل من واحد لغاية تمانية و احداشر و + +393 +00:44:35,930 --> 00:44:46,520 +اتناشرواربعتاش ب وسي ب وسي + +394 +00:44:46,520 --> 00:44:53,080 +المرة + +395 +00:44:53,080 --> 00:44:56,900 +جاى بنبدأ ال section اللى بعده ان شاء الله تعالى + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/QZepsKIgm9Y.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/QZepsKIgm9Y.srt new file mode 100644 index 0000000000000000000000000000000000000000..be93162f58b14deec4da1ab6c593d443516033bc --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/QZepsKIgm9Y.srt @@ -0,0 +1,1307 @@ +1 +00:00:19,170 --> 00:00:24,010 +بسم الله الرحمن الرحيم نرجع لبداية الـ section اللي + +2 +00:00:24,010 --> 00:00:28,950 +هو الـ subspaces هذا اللي هو الفضاءات الاتجاهية + +3 +00:00:28,950 --> 00:00:34,010 +الجزئية المرة اللي فاتت أعطينا تعريف للفضاء + +4 +00:00:34,010 --> 00:00:39,590 +الاتجاهي الجزئي وابتدأنا ناخد عليه أمثلة أخذنا + +5 +00:00:39,590 --> 00:00:44,870 +أربعة أمثلة وهذا هو المثال الخامس بتذكر بالتعريف + +6 +00:00:44,870 --> 00:00:51,090 +لإننا بنحاول نستخدمه في الحكم على الـ sets المختلفة + +7 +00:00:51,090 --> 00:00:57,670 +هل هي subspaces أم لا بنجي نقول أنه لو أخدت + +8 +00:00:57,670 --> 00:01:03,330 +subset U من vector space V هذا الـ subset بقول عنه + +9 +00:01:03,330 --> 00:01:08,870 +vector space إذا حقق ليه ثلاثة شروط الشرط الأول إن + +10 +00:01:08,870 --> 00:01:13,410 +هذا الـ subset اللي أخدته is non-empty على الأقل + +11 +00:01:13,410 --> 00:01:17,850 +بدي أثبت ولو عنصر واحد موجود في هذا الـ subset + +12 +00:01:17,850 --> 00:01:23,850 +اثنين لو أخدت scalar من R مع vector من U ضربت + +13 +00:01:23,850 --> 00:01:28,050 +اثنين في بعض بدي أطلع ناتج vector جديد موجود في + +14 +00:01:28,050 --> 00:01:33,250 +الـ U itself الأمر الثالث لو أخدت vectors من U + +15 +00:01:33,250 --> 00:01:38,530 +وجمعت الاثنين الجامعة دي بدي أثبت إن هذا المجموع + +16 +00:01:38,530 --> 00:01:44,070 +موجود في U كذلك إن تحقق الشروط الثلاثة يبقى الـ + +17 +00:01:44,070 --> 00:01:49,470 +subset اللي أخدتها من V بتكون subspace اختل أي شرط + +18 +00:01:49,470 --> 00:01:54,210 +من الشروط الثلاثة يبقى ماهيش subspace واخدنا على + +19 +00:01:54,210 --> 00:01:59,870 +ذلك أربعة أمثلة وهذا هو المثال الخامس يبقى المثال + +20 +00:01:59,870 --> 00:02:05,990 +الخامس بقول let P بيبدأ تساوي PN مين هي الـ PN؟ يبقى + +21 +00:02:05,990 --> 00:02:11,470 +هي كثيرات الحدود اللي درجتها أقصى ما يكون هو N + +22 +00:02:11,470 --> 00:02:17,650 +يعني يا إما N يا إما أقل من N والـ N عدد صحيح موجب + +23 +00:02:17,650 --> 00:02:23,670 +الـ N is a positive integer تمام؟ يبقى الـ P of X هي + +24 +00:02:23,670 --> 00:02:27,670 +الـ polynomial of degree at most N كل كثيرات + +25 +00:02:27,670 --> 00:02:33,250 +الحدود اللي أقصى درجة فيها N يعني N أو أقل منها + +26 +00:02:33,250 --> 00:02:40,370 +حيث إن عدد صحيح موجب، that is أي أن الـ P in الـ + +27 +00:02:40,370 --> 00:02:45,750 +set of all polynomials P X such that P of X يعني + +28 +00:02:45,750 --> 00:02:50,610 +أنا بدي أترجم الكلام اللي فوق رياضيا مشان نستعمله + +29 +00:02:50,610 --> 00:02:58,870 +الـ P of X هي A0 زائد A1X زائد A2X² زائد A3X³ وظل ماشي + +30 +00:02:58,870 --> 00:03:03,450 +لغاية ما وصل إلى An X to the power n اللي أنا قلت + +31 +00:03:03,450 --> 00:03:08,960 +at most الـ degree تبعتها بتكون N يبقى هذا من هذا الـ + +32 +00:03:08,960 --> 00:03:14,080 +vector space V أخدت منه subspace أخدت مجموعة من الـ + +33 +00:03:14,080 --> 00:03:19,040 +polynomial من هذه الـ polynomial تعالى نشوف قال + +34 +00:03:19,040 --> 00:03:23,740 +يفترض أن الـ U اللي هي الـ subset من V the set of + +35 +00:03:23,740 --> 00:03:28,720 +all elements P of X such that P of X تساوي Ax² زائد Bx + +36 +00:03:28,720 --> 00:03:33,040 +زائد C والـ A والـ B والـ C موجودة في R يعني اللي همين + +37 +00:03:33,040 --> 00:03:38,280 +كثيرات الحدود من الدرجة الثانية أخدتهم كلهم و روحت + +38 +00:03:38,280 --> 00:03:44,220 +حاطيتهم في الـ set و سميت الـ set هذه U بدي أحاول + +39 +00:03:44,220 --> 00:03:48,870 +أثبت إنه U subspace و يمكن ما أقدرش الله أعلم لما + +40 +00:03:48,870 --> 00:03:53,190 +يقول prove or disapprove إن الـ U a subspace وفيه + +41 +00:03:53,190 --> 00:03:57,550 +مش إجباري أثبت إنها subspace يمكن تطلع subspace + +42 +00:03:57,550 --> 00:04:01,150 +ويمكن ما تطلعش يعني prove أثبت this prove ما تثبتش + +43 +00:04:01,150 --> 00:04:05,390 +اللي بدك هي اللي تقدر عليه اشتغله تمام يبقى باجي + +44 +00:04:05,390 --> 00:04:11,810 +بقول بدي أحاول أثبت إن هذه هي subspace إن قدرت كان + +45 +00:04:11,810 --> 00:04:15,250 +بها ما قدرت كان بها طيب يبقى مشان أثبت إنها + +46 +00:04:15,250 --> 00:04:20,100 +subspace أنا بروح أحقق الشروط التالية السؤال هو + +47 +00:04:20,100 --> 00:04:27,000 +حد فيكم يقدر يثبت لي إنه هذه الـ non-empty يعني على + +48 +00:04:27,000 --> 00:04:33,540 +الأقل فيها عنصر ولو كان صفر موجود الصفر فيها ولا + +49 +00:04:33,540 --> 00:04:39,170 +لا؟ موجود موجود ليش؟ لأنه جالس اللي هتبقى على الشكل + +50 +00:04:39,170 --> 00:04:43,870 +اللي عندها ده والـ A والـ B والـ C موجودة وين حط لي قيود + +51 +00:04:43,870 --> 00:04:48,750 +على A و B و C ما حطش قيود تاخدهم أصفار تاخدهم أعداد + +52 +00:04:48,750 --> 00:04:52,810 +تاخد اللي بدك إياه يبقى ما عنديش مشكلة في هذه الحالة + +53 +00:04:52,810 --> 00:04:56,790 +يبقى بروح بقول الخطوة الأولى أو الـ condition الأول + +54 +00:04:56,790 --> 00:05:00,810 +الـ U is non-empty + +55 +00:05:02,620 --> 00:05:10,640 +ليش؟ because الـ zero ههه بقدر أكتبه zero X تربيع + +56 +00:05:10,640 --> 00:05:16,460 +زائد zero X زائد zero ينفع لا ما ينفعش يبقى هذه الـ + +57 +00:05:16,460 --> 00:05:22,490 +polynomial الصفرية هذا موجود وين؟ موجود في U إذا + +58 +00:05:22,490 --> 00:05:26,950 +الـ U non-empty يبقى الـ condition الأول تحقق يبقى + +59 +00:05:26,950 --> 00:05:39,710 +الـ condition + +60 +00:05:39,710 --> 00:05:45,270 +الأول تحقق يبقى + +61 +00:05:45,270 --> 00:05:49,290 +الـ condition الأول تحقق يبقى الـ condition الأول + +62 +00:05:49,290 --> 00:05:50,170 +تحقق يبقى الـ condition الأول تحقق يبقى الـ + +63 +00:05:50,170 --> 00:05:50,890 +condition الأول تحقق يبقى الـ condition الأول تحقق + +64 +00:05:50,890 --> 00:05:51,250 +الأول تحقق يبقى الـ condition الأول تحقق يبقى الـ + +65 +00:05:51,810 --> 00:06:00,640 +موجودة في اليوم then نبدأ أنا آخد C1 في P of X اللي + +66 +00:06:00,640 --> 00:06:06,300 +عندنا هذه أشوف هل هي موجودة في الـ U أم لا يبقى هذا + +67 +00:06:06,300 --> 00:06:14,100 +بدي يعطينا C1 بدي أضربها في AX تربيع زائد BX زائد + +68 +00:06:14,100 --> 00:06:23,990 +C طبعا يبقى بدي أفك القوس ده يبقى هذا بيصير C1AX² + +69 +00:06:23,990 --> 00:06:36,770 +AX² + +70 +00:06:36,770 --> 00:06:41,810 +AX² AX² AX² + +71 +00:06:41,810 --> 00:06:51,530 +AX² AX² مظبوط؟ لأن هذا رقم هذا رقم و هذا رقم real + +72 +00:06:51,530 --> 00:06:56,890 +numbers إذا هذا كله موجود وين؟ في الـ set U إذا + +73 +00:06:56,890 --> 00:07:00,750 +انتحقق منين؟ انتحقق الـ condition الثاني أخد + +74 +00:07:00,750 --> 00:07:05,510 +element من R و أخد element من U لكي تحصل الضرب هذا + +75 +00:07:05,510 --> 00:07:09,970 +موجود فيه يبقى باقي عندي بس الـ condition الثالث + +76 +00:07:09,970 --> 00:07:16,050 +condition الثالث بذلك أقول FLP + +77 +00:07:28,610 --> 00:07:36,750 +على الشكل A1 X تربيع زائد B1 X زائد C1 موجودة في U + +78 +00:07:39,100 --> 00:07:45,640 +يبقى بدي أخد مجموعهم بدي أخد الـ P of X زائد لـ Q of + +79 +00:07:45,640 --> 00:07:51,280 +X يبقى هذا الكلام يساوي الجمع component-wise يبقى + +80 +00:07:51,280 --> 00:07:57,380 +بدي أجمع هذه مع هذه منها يبقى ما بلاقي بلاقي ال ax + +81 +00:07:57,380 --> 00:08:09,000 +تربيع زائد a1x تربيع زائد bx زائد b1x زائد c زائد + +82 +00:08:09,000 --> 00:08:14,790 +c1 هذا الكلام يساوي ما رأيك لو هنا في عامل مشترك + +83 +00:08:14,790 --> 00:08:19,770 +اللي هو X تربيع وهنا في عامل مشترك اللي هو X وهنا + +84 +00:08:19,770 --> 00:08:27,430 +ما فيش عامل مشترك يبقى بقدر أقول هذا A زائد A1 كله + +85 +00:08:27,430 --> 00:08:35,350 +في X تربيع زائد B زائد B1 كله في X هذا X تربيع وهذا X + +86 +00:08:35,350 --> 00:08:45,410 +زائد C زائد C1 real number في الـ X تربيع موجود + +87 +00:08:45,410 --> 00:08:50,850 +في الـ U أم لا يبقى هدف belongs to main to U إذا + +88 +00:08:50,850 --> 00:08:55,310 +انت حققت الشروط الثلاثة أم لا يبقى باجي بقوله so + +89 +00:08:55,310 --> 00:08:59,770 +الـ U is a subspace + +90 +00:09:01,690 --> 00:09:09,590 +R V يبقى هذا subspace من V نكمل الأمثلة على نفس + +91 +00:09:09,590 --> 00:09:14,130 +الموضوع يبقى + +92 +00:09:14,130 --> 00:09:19,630 +هذا المثال رقم خمسة بدنا نروح للمثال رقم ستة يبقى + +93 +00:09:19,630 --> 00:09:30,600 +example 6 بقول let V تساوي P تكيب let الـ V تساوي R + +94 +00:09:30,600 --> 00:09:39,420 +تكيب واللي هي بدل تساوي The set of all طبعا + +95 +00:09:39,420 --> 00:09:43,900 +اللي هي the set of all X واحد و X اثنين و X ثلاثة + +96 +00:09:43,900 --> 00:09:49,280 +و X واحد و X اثنين و X ثلاثة موجودة في الـ set of + +97 +00:09:49,280 --> 00:09:58,160 +real numbers Little u و دي لنا الـ U تساوي اللي هو + +98 +00:09:58,160 --> 00:10:05,860 +the set of all elements x1 وx2 وx3 such that بحيث + +99 +00:10:05,860 --> 00:10:18,160 +إن x3 يساوي x1 زائد x2 السؤال هو show that + +100 +00:10:21,470 --> 00:10:35,830 +Show that U is a subspace of V هذا المثال رقم ستة + +101 +00:10:35,830 --> 00:10:41,510 +بيقول ما يأتي بدأ أخد الـ vector space V هو الـ R3 + +102 +00:10:41,510 --> 00:10:46,490 +تحت عملية الضرب والجمع العادية اليوزر ستة وبرنامج + +103 +00:10:46,490 --> 00:10:50,050 +X واحد و X اثنين و X ثلاثة بحيث X واحد و X اثنين و + +104 +00:10:50,050 --> 00:10:55,830 +X ثلاثة are real number بداخل اليوزر تتكون من ثلاث + +105 +00:10:55,830 --> 00:11:01,510 +مكونات لكن المكونة الثالثة هي مجموع الـ two + +106 +00:11:01,510 --> 00:11:06,740 +components الأولى والثانية طلعيني هنا x1 و x2 و x3 + +107 +00:11:06,740 --> 00:11:12,360 +such that x3 اللي هي تساوي x1 زائد x2 يعني هذا يا + +108 +00:11:12,360 --> 00:11:18,440 +بنات لو بدي أصيغه بقول هي كل العناصر على صيغة x1 و + +109 +00:11:18,440 --> 00:11:24,680 +x2 و x1 زائد x2 يعني بالشكل اللي عندنا هذا و x1 و + +110 +00:11:24,680 --> 00:11:29,540 +x2 موجودة في R تمام يبقى هاي المقصود بالشكل اللي + +111 +00:11:29,540 --> 00:11:34,870 +عندنا هذا قال لي بيظهر لي إن هذا is a subspace يبقى + +112 +00:11:34,870 --> 00:11:40,290 +أنا بروح لمين للشروط الثلاثة بدي أثبت إن هذه الـ U + +113 +00:11:40,290 --> 00:11:45,470 +على الأقل فيها ما فيها element واحد وبعد هيك بروح + +114 +00:11:45,470 --> 00:11:50,290 +بكمّل إذا بدي أجي للنقطة الأولى حد فيكم يقدر + +115 +00:11:50,290 --> 00:11:54,050 +يجيب لي answer واحد موجود في الـ U + +116 +00:11:59,950 --> 00:12:11,230 +يبقى باجي بقوله هنا الـ U is non-empty ليش؟ because + +117 +00:12:13,230 --> 00:12:19,290 +إن الـ zero و الـ zero و الـ zero موجودة في الـ U + +118 +00:12:19,290 --> 00:12:26,510 +sentence ليش؟ لأن الـ zero بده يساوي zero زائد zero + +119 +00:12:26,510 --> 00:12:30,470 +اللي هي المكونة الثالثة تساوي المكونة الأولى + +120 +00:12:30,470 --> 00:12:36,510 +زائد المكونة الثانية النقطة الثانية بنجي نأخذ + +121 +00:12:36,510 --> 00:12:43,490 +element a موجود في set of real numbers and الـ V + +122 +00:12:43,490 --> 00:12:49,110 +مثلا موجود في الـ U و الـ V بدي أكتبه على الشكل + +123 +00:12:49,110 --> 00:12:57,530 +التالي الـ V تساوي الـ X واحد و X اثنين و X واحد + +124 +00:12:57,530 --> 00:13:04,330 +زائد X اثنين موجود في الـ U دامن بدي آخد حاصل الضرب + +125 +00:13:04,330 --> 00:13:12,520 +يبقى بدي آخد A في V يبقى هذا بيصير A في X1 و X2 و + +126 +00:13:12,520 --> 00:13:22,020 +X1 زائد X2 إنطلع هذا موجود في الـ U بكون إنت هنا من + +127 +00:13:22,020 --> 00:13:25,000 +الـ condition الثاني و بروح بدور عالميا على الـ + +128 +00:13:25,000 --> 00:13:30,220 +condition الثالث يبقى بيدفعك هذا القصة بنجي نقول A + +129 +00:13:30,220 --> 00:13:50,600 +X1 ax2 a x1 a x2 a x2 a x1 a x2 a x2 a x2 a x2 a x2 + +130 +00:13:50,600 --> 00:13:56,850 +a x2 a x2 a x2 a x2 a x2 a x2 a x2 a x2 a x2 هل هو + +131 +00:13:56,850 --> 00:14:01,130 +مجموع الـ two terms اللي هنا؟ يعني المكونة الثالثة + +132 +00:14:01,130 --> 00:14:04,210 +مجموع المكونة الأولى والمكونة الثانية في الـ a + +133 +00:14:04,210 --> 00:14:09,150 +three useful نعم بالضبط إذا هذه موجودة وين؟ موجودة + +134 +00:14:09,150 --> 00:14:13,850 +في U يبقى تحقق الـ condition الثاني نبدأ نروح للـ + +135 +00:14:13,850 --> 00:14:22,110 +condition الثالث يبقى باجي بقوله F اللي هو من؟ F + +136 +00:14:22,360 --> 00:14:29,720 +الـ U بـ small بدها تساوي X واحد و X اثنين و X + +137 +00:14:29,720 --> 00:14:37,140 +واحد زائد X اثنين و الـ V بدها تساوي Y واحد و Y + +138 +00:14:37,140 --> 00:14:43,000 +اثنين و Y واحد زائد Y اثنين هذا الكلام موجود في U + +139 +00:14:43,000 --> 00:14:48,550 +then يبقى أخد عنصرين موجودة في U بالـD أشوف هل + +140 +00:14:48,550 --> 00:14:54,410 +جامعهم موجود في U أم لا يبقى بروح بأخد له الـ U + +141 +00:14:54,410 --> 00:15:01,660 +زائد الـ V يبقى لجمع component twice يبقى x واحد + +142 +00:15:01,660 --> 00:15:10,980 +زائد y واحد x اثنين زائد y اثنين نجمع x واحد زائد + +143 +00:15:10,980 --> 00:15:17,660 +x اثنين زائد y واحد زائد y اثنين وهذه المكونة اللي + +144 +00:15:17,660 --> 00:15:23,490 +عندنا طيب أنا بدي إياها مجموع الأولى زي دي الثانية + +145 +00:15:23,490 --> 00:15:34,420 +بقدر أعيد الترتيب و أقول X1 زي Y1 X2 زي Y2 ممكن + +146 +00:15:34,420 --> 00:15:42,640 +أجمع هذه مع هذه يبقى مين؟ x واحد زائد y واحد زائد + +147 +00:15:42,640 --> 00:15:48,700 +x اثنين زائد y اثنين بالشكل اللي عندنا هذا طلع لي + +148 +00:15:48,700 --> 00:15:52,440 +في الـ term اللي عندنا هذا هو مجموع الـ components + +149 +00:15:52,440 --> 00:15:56,970 +الاثنين هدول نعم هو مجموعة .. إذا هذا موجود وين؟ + +150 +00:15:56,970 --> 00:16:02,610 +موجود في الـ U إذا تحققت الشروط الثلاثة فباجي بقول + +151 +00:16:02,610 --> 00:16:11,830 +له الـ U is a subspace of + +152 +00:16:11,830 --> 00:16:14,950 +V وانتهينا منها + +153 +00:16:42,900 --> 00:16:57,320 +يبقى هذا المثال السادس مثال السابع مثال سبعة بقول + +154 +00:16:57,320 --> 00:17:01,940 +إن الـ V بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى + +155 +00:17:01,940 --> 00:17:04,100 +بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى + +156 +00:17:09,670 --> 00:17:22,270 +Define لف معرفة on an interval I معرفة على فترة ما + +157 +00:17:22,270 --> 00:17:31,670 +نأخذ الـ U لت الـ U تساوي the set of all element f + +158 +00:17:31,670 --> 00:17:40,910 +such that الـ F W prime of X زائد اثنين في الـ F of + +159 +00:17:40,910 --> 00:17:47,750 +X بده يساوي Zero وهذا الكلام لكل الـ X اللي موجودة + +160 +00:17:47,750 --> 00:17:57,350 +في الـ interval I السؤال هو بيقول prove or disprove + +161 +00:17:58,880 --> 00:18:11,160 +prove or disprove that الـ U is a subspace of V + +162 +00:18:11,160 --> 00:18:26,380 +خانة + +163 +00:18:26,380 --> 00:18:32,490 +هذه انتهينا منها طيب أنتو ملاحظين الأمثلة بالنوعها + +164 +00:18:32,490 --> 00:18:37,630 +كل مرة بنجيب مثال شكل يختلف في مضمونه عن المثال + +165 +00:18:37,630 --> 00:18:42,030 +القبل لكن بالنسبة للبرهان كله نفس الفكرة تبعه + +166 +00:18:42,030 --> 00:18:47,710 +البرهان بس نقدر نطبق له تطبيق صحيح نرجع لسؤالنا + +167 +00:18:47,710 --> 00:18:51,710 +هذا مرة ثانية قال ياخد الـ V the set of all + +168 +00:18:51,710 --> 00:18:56,420 +functions المعرفة على فترة ما يعني أنا جيت على الـ + +169 +00:18:56,420 --> 00:19:00,720 +real line و أخدت فترة محددة و جبت كل الـ functions + +170 +00:19:00,720 --> 00:19:05,240 +اللي خلقها ربنا و اللي احنا بنعرفه المعرفة على هذه + +171 +00:19:05,240 --> 00:19:11,280 +الفترة و قلت هدول vector space اللي هو V روحت من + +172 +00:19:11,280 --> 00:19:14,840 +هذا الـ vector space أخدت مجموعة من الـ functions + +173 +00:19:14,840 --> 00:19:18,700 +مين + +201 +00:21:44,280 --> 00:21:48,920 +اتنين F of X يساوي Zero الـ F'' of Zero + +202 +00:21:48,920 --> 00:21:55,820 +زائدي اتنين في Zero يساوي Zero هذا معناه أن الـ F + +203 +00:21:55,820 --> 00:22:00,710 +اللي عندها موجودة وينفي الـ U هذا معناه أن الـ U + +204 +00:22:00,710 --> 00:22:07,850 +is non-empty يبقى هذه ما هيَاش الفئة الخاوية يبقى + +205 +00:22:07,850 --> 00:22:13,350 +هذه الفئة وفيها من وفيها عناصر يبقى هذه أثبتنا أن + +206 +00:22:13,350 --> 00:22:19,410 +هذه الـ set على الأقل فيها ولو عنصر واحد نجي رقم + +207 +00:22:19,410 --> 00:22:26,770 +اتنين بدي آخد الـ C موجود في set of real numbers + +208 +00:22:29,320 --> 00:22:36,160 +والـ F موجودة في الـ U فالـ F موجودة في الـ U + +209 +00:22:36,160 --> 00:22:41,400 +معناته الـ F double prime of X زائدي اتنين F of X + +210 +00:22:41,400 --> 00:22:49,460 +بده يساوي Zero أنا مين بدي أثبت؟ بدي أثبت إن الـCF + +211 +00:22:49,460 --> 00:22:55,520 +كلها double prime زائد اتنين CF بده يساوي Zero إن + +212 +00:22:55,520 --> 00:23:01,240 +أثبت ذلك بيصير الـCF موجودة في الـU وبالتالي بكون + +213 +00:23:01,240 --> 00:23:06,540 +تحقق الـ condition هالثاني يبقى الآن بدّي أقول + +214 +00:23:06,540 --> 00:23:07,420 +consider + +215 +00:23:10,510 --> 00:23:17,550 +كده لي كده + +216 +00:23:17,550 --> 00:23:23,150 +كده كده كده + +217 +00:23:23,150 --> 00:23:32,350 +كده + +218 +00:23:32,350 --> 00:23:36,930 +كده كده كده كده كده كده كده كده كده كده كده كده + +219 +00:23:36,930 --> 00:23:37,610 +كده كده كده كده كده كده كده كده كده كده كده كده + +220 +00:23:37,610 --> 00:23:41,070 +كده كده كده كده كده كده أظن المقدار الثابت لو فضل + +221 +00:23:41,070 --> 00:23:45,790 +مرة ولا مرتين ولا تلاتة ولا عشرة بيظل.. بيظل زي + +222 +00:23:45,790 --> 00:23:49,930 +ما هو كل الـ function موجودة F لكن لو الـ function + +223 +00:23:49,930 --> 00:23:54,430 +انتهت بيصير مشتق لبعضها بـ Zero مظبوط طب احنا عندنا + +224 +00:23:54,430 --> 00:24:00,310 +مشتقتين فبجي بقول له هذا معناه C في الـ F double + +225 +00:24:00,310 --> 00:24:05,650 +prime of X زائد + +226 +00:24:06,250 --> 00:24:14,350 +هذه لو جيت فكتها بيصير اتنين C في الـ F of X هذه لو + +227 +00:24:14,350 --> 00:24:19,810 +روحت أخدت الـ C عام المشترك بيظل F double prime of + +228 +00:24:19,810 --> 00:24:26,410 +X زائد اتنين F of X يبقى ده بتسوى كده شبه أنا + +229 +00:24:26,410 --> 00:24:31,910 +هتهيأ الـ C لبرا ل بين جثين هايه أنا فرضه من قبل + +230 +00:24:31,910 --> 00:24:38,970 +بقداش؟ بـ زيرو يبقى الـC في زيرو بقداش ايش تفسير كل + +231 +00:24:38,970 --> 00:24:43,730 +هذا الكلام؟ يبقى الـCF موجودة في الـU يبقى هنا + +232 +00:24:43,730 --> 00:24:49,290 +بروح بقول له الساعة الـCF موجودة في الـU بده اروح + +233 +00:24:49,290 --> 00:24:54,430 +للـ condition التاني بدي آخد two functions موجودات + +234 +00:24:54,430 --> 00:25:00,450 +في الـ U بمعنى أن الـ f double prime of x زي دي + +235 +00:25:00,450 --> 00:25:05,230 +اتنين f of x بدي ساوي zero ودالة تانية g of x بحيث + +236 +00:25:05,230 --> 00:25:09,270 +الـ g double prime of x زي دي اتنين g of x بدي ساوي + +237 +00:25:09,270 --> 00:25:16,060 +مين؟ Zero يبقى بدّي أقوله هنا افترضي إن الـ F و + +238 +00:25:16,060 --> 00:25:22,200 +الـ G موجودة في الـ U ثم الـ F double prime of X + +239 +00:25:22,200 --> 00:25:29,880 +زائد اتنين F of X بدي ساوي Zero و في نفس الوقت G + +240 +00:25:29,880 --> 00:25:35,180 +double prime of X زائد اتنين G of X كل هذا بدي + +241 +00:25:35,180 --> 00:25:40,510 +ساوي مين؟ بدي ساوي Zero أنا بدي أثبت إن مجموعهم + +242 +00:25:40,510 --> 00:25:45,950 +موجود في الـ U يعني بدي أثبت إن الـ F of X زائد الـ + +243 +00:25:45,950 --> 00:25:51,210 +G of X كله موجود وين؟ بدي موجود في الـ U ليش هكذا؟ + +244 +00:25:51,210 --> 00:25:58,530 +بدي أروح أقول ما يأتي خذيلي اللي هو F of X زائد + +245 +00:25:58,530 --> 00:26:02,150 +الـ G of X '' + +246 +00:26:05,020 --> 00:26:16,460 +زائد اتنين F of X زائد G of X إذا طلع هذا يساوي + +247 +00:26:16,460 --> 00:26:22,420 +Zero بيصير المجموع هذا موجود في اليوم التالي يكون + +248 +00:26:22,420 --> 00:26:27,660 +انتهينا من القصة هذا الكلام يساوي نرجع للـ calculus + +249 +00:26:30,100 --> 00:26:35,200 +مشتقة المجموع الجبري لدالتين يسوي مين؟ المجموع + +250 +00:26:35,200 --> 00:26:43,300 +الجبري للمشتقتين ولو اشتقت كمان مرة يبقى + +251 +00:26:43,300 --> 00:26:49,960 +المجموع الجبري للمشتقتين يبقى هذا معناه الـ F '' + +252 +00:26:49,960 --> 00:26:58,150 +of X زائد الـ G '' of X مظبوط؟ طيب هذا + +253 +00:26:58,150 --> 00:27:03,530 +الكلام بدي أضيف له بدي أفك الـ Goal السادة يبقى 2 F + +254 +00:27:03,530 --> 00:27:12,500 +of X زائدي 2 G of X يساوي بدي آخدهم مجموعتين بدي + +255 +00:27:12,500 --> 00:27:17,840 +أحط الـ f مع بعض و الـ g مع بعض يبقى هذا بده يعطينا + +256 +00:27:17,840 --> 00:27:24,640 +مين بده يعطينا F'' of x زي دي اتنين f of x + +257 +00:27:24,640 --> 00:27:25,900 +بدي آخدهم مع بعض + +258 +00:27:29,230 --> 00:27:37,490 +G''XG''XG + +259 +00:27:37,490 --> 00:27:46,250 +''XG''XG'' + +260 +00:27:46,250 --> 00:27:51,170 +''XG + +261 +00:27:51,170 --> 00:27:52,930 +''XG''XG''XG''XG''XG''XG''XG''XG''XG''XG + +262 +00:27:52,930 --> 00:27:53,370 +''XG''XG''XG''XG''XG''XG''XG''XG''XG''XG''XG + +263 +00:27:53,370 --> 00:28:00,970 +''XG''XG''X زائد الـ جي موجودة في الـ U يبقى الـ U is a + +264 +00:28:00,970 --> 00:28:02,090 +subspace + +265 +00:28:17,170 --> 00:28:27,670 +الـ U is a subspace of Z + +266 +00:28:30,300 --> 00:28:36,120 +طيب أخدنا حتى الآن بدل المثال سبعة أمثلة أعتقد أن + +267 +00:28:36,120 --> 00:28:41,260 +هذه الأمثلة السبعة ثبتت مفهوم الـ subspace عندنا + +268 +00:28:41,260 --> 00:28:46,700 +بدرجة كبيرة يبقى ندخل شوية كمان في نفس الـ section + +269 +00:28:46,700 --> 00:28:52,380 +فإننا نعطي تعريف جديد التعريف بيقول ما يأتي + +270 +00:28:52,380 --> 00:28:54,900 +definition let + +271 +00:29:01,360 --> 00:29:12,560 +الـ V بإيه؟ Vector Space Vector Space and let + +272 +00:29:12,560 --> 00:29:22,560 +وافترضوا كذلك أن V1 و V2 و لغاية VM موجودة في + +273 +00:29:22,560 --> 00:29:34,310 +Capital V We say that We say that إن الـ V هذه الـ + +274 +00:29:34,310 --> 00:29:43,350 +V الصغيرة is a linear combination linear + +275 +00:29:43,350 --> 00:29:47,490 +combination + +276 +00:29:47,490 --> 00:29:57,930 +linear combination of V1 و V2 و لغاية الـ VM + +277 +00:30:00,530 --> 00:30:13,850 +there exist c1 و c2 و cm in are such that + +278 +00:30:13,850 --> 00:30:27,170 +بحيث أن الـ V بده يساوي c1 v1 c2 v2 cm vm + +279 +00:30:29,300 --> 00:30:39,640 +كمان definition تاني if + +280 +00:30:39,640 --> 00:30:47,100 +every element + +281 +00:30:47,100 --> 00:31:00,720 +of a vector a space of a vector space V if every + +282 +00:31:00,720 --> 00:31:07,700 +element of a vector space V is a linear + +283 +00:31:07,700 --> 00:31:18,280 +combination of + +284 +00:31:18,280 --> 00:31:32,320 +V1 و V2 و V M We say that.. We say that.. بروح + +285 +00:31:32,320 --> 00:31:45,940 +نقول We say that Capital V هذا is spanned.. is + +286 +00:31:45,940 --> 00:31:57,570 +spanned by..this elements by this elements also + +287 +00:31:57,570 --> 00:32:01,170 +وكذلك + +288 +00:32:01,170 --> 00:32:15,170 +we say that we say that the elements اللي + +289 +00:32:15,170 --> 00:32:25,020 +هو V واحد و V اتنين و VM Span V + +290 +00:33:35,580 --> 00:33:41,880 +طيب نجي للـ two definitions اللي احنا معرفينهم و + +291 +00:33:41,880 --> 00:33:46,100 +بدأنا في الجد شوية اهدروا بالكم الآن مع بداية + +292 +00:33:46,100 --> 00:33:49,820 +التعريفات الاتنين دول بدأنا ندخل في صميم الموضوع + +293 +00:33:49,820 --> 00:33:53,960 +كل الكلام اللي فات كله كلام بسيط يعتبر اللي هم + +294 +00:33:53,960 --> 00:33:58,420 +بيقولوا يفترض الـ V هو عبارة عن Vector space أخدت + +295 +00:33:58,420 --> 00:34:03,100 +مجموعة من الـ vectors موجودة وين في V يعني أخدت + +296 +00:34:03,100 --> 00:34:08,260 +خمسة ستة سبعة جد ما يكون عددهم V1 وV2 لغاية VM + +297 +00:34:08,260 --> 00:34:12,950 +موجودة في Capital V يبقى الفيات هدول كلهم ايش؟ كلهم + +298 +00:34:12,950 --> 00:34:17,290 +vectors داخل الـ Vector space يعني لو جيت قلت + +299 +00:34:17,290 --> 00:34:21,190 +البنات هدول الـ Vector space أخدت من؟ أخدت أول خمسة + +300 +00:34:21,190 --> 00:34:24,630 +يبقى أول خمسة يعتبروا vectors في من؟ في الـ Vector + +301 +00:34:24,630 --> 00:34:30,650 +space مالهم الخمسة هدول؟ we say that منقول الـ V is + +302 +00:34:30,650 --> 00:34:36,270 +a linear combination of أنا لو روحت و أخدت Vector + +303 +00:34:36,270 --> 00:34:42,070 +تاني و لاجئت أن الـ Vector التاني قدرت اكتبه بدلالة + +304 +00:34:42,070 --> 00:34:45,990 +الخمسة هدول يعني أخدت أي Vector من الـ Vector اسمه + +305 +00:34:45,990 --> 00:34:49,550 +إذا قدرت اكتبه بدلالة الخمسة هدول + +306 +00:35:04,700 --> 00:35:11,400 +ماشي يعني يعني لو جيت أخدت أخدت مجموعة من الـ + +307 +00:35:11,400 --> 00:35:16,860 +Vector قول خمسة زي ما قلنا هنا و الخمسة هدول روحت + +308 +00:35:16,860 --> 00:35:21,920 +أخدت Vector تاني لجيت الـ Vector هذا بقدر أكتب + +309 +00:35:21,920 --> 00:35:27,040 +بدلالة الخمسة constant في الـ Vector الأول زائد + +310 +00:35:27,040 --> 00:35:29,640 +constant في الـ Vector التاني زائد constant في الـ + +311 +00:35:29,640 --> 00:35:34,310 +Vector التاني زائد constant في الـ Vector الخامس إن + +312 +00:35:34,310 --> 00:35:39,750 +حدث ذلك يبقى بقول الـ Vector V الـ Vector الـ + +313 +00:35:39,750 --> 00:35:44,790 +element الواحد V هو linear combination مجموعة خطية + +314 +00:35:44,790 --> 00:35:52,110 +أو تجميع خطي من الـ Vectors V1 و V2 و لغاية V5 يبقى + +315 +00:35:52,110 --> 00:35:56,450 +هذا معنى linear linear خطي combination تجميع يبقى + +316 +00:35:56,450 --> 00:36:02,690 +تجميع خطي تمام لكن هل كل Vector of space بقدر + +317 +00:36:02,690 --> 00:36:07,690 +أكتبه بدلالة الخمسة هدول الإجابة قد يكون و قد لا + +318 +00:36:07,690 --> 00:36:13,310 +يكون طبعا حيكون إذا حدث ذلك في كلام تاني سنتحدث به + +319 +00:36:13,310 --> 00:36:18,770 +اليوم إن شاء الله تعالى أو المرة القادمة خليني + +320 +00:36:18,770 --> 00:36:24,600 +أسمع هذا مرة تانية بقول أنا عندي.. أنا عندي.. اه + +321 +00:36:24,600 --> 00:36:29,900 +Vector space أخدت منه مجموعة المجموعة هذه قلتلهم + +322 +00:36:29,900 --> 00:36:35,140 +ضربت كل صنف الأول كل صنف + +323 +00:36:35,140 --> 00:36:39,920 +التاني كل صنف التالت مرة أبقى وجمعتهم أعطاني هذا + +324 +00:36:39,920 --> 00:36:43,860 +المجموع Vector من الـ Vector space اللي موجود + +325 +00:36:43,860 --> 00:36:48,300 +Vector جديد من عناصر الـ Vector space اللي كبيرة + +326 +00:36:48,300 --> 00:36:52,680 +يبقى هذا العنصر بقول هو linear combination من + +327 +00:36:52,680 --> 00:36:57,120 +مجموعة العناصر اللي أخدتها واضح أظن مش فيه مشكلة + +328 +00:36:57,120 --> 00:37:02,270 +واضح على التعريف طيب نجلة التعريف التاني بيقول لو + +329 +00:37:02,270 --> 00:37:07,030 +كان كل عنصر في الـ Vector space هو linear + +330 +00:37:07,030 --> 00:37:12,030 +combination من الـ Vectors هدول بنروح نقول الـ V + +331 +00:37:12,030 --> 00:37:16,170 +spanned by this vector بنقول الـ Vector space V + +332 +00:37:16,170 --> 00:37:25,030 +يولد بهذه العناصر أو هذه العناصر تولد من؟ تولد الـ + +333 +00:37:25,030 --> 00:37:30,140 +Vector V تولد V والله هم بولدوا V كله نفس الشيء مرة + +334 +00:37:30,140 --> 00:37:39,320 +تانية مرة تانية التعريف التاني إذا بالبلد هيك إذا + +335 +00:37:39,320 --> 00:37:44,480 +أخدت أي Vector موجود في الـ space اللي جيت هو + +336 +00:37:44,480 --> 00:37:49,180 +linear combination من مجموعة من الـ Vectors بقول إن + +337 +00:37:49,180 --> 00:37:53,860 +هذه المجموعة الـ Vectors تولد الـ Vector space أو الـ + +338 +00:37:53,860 --> 00:37:59,180 +Vector space يولد بهذه المجموعة الموضوع أكتر عصير + +339 +00:37:59,180 --> 00:38:03,980 +البنات اللي في الشجة دي ستة بس شايفينهم؟ into كل + +340 +00:38:03,980 --> 00:38:07,360 +co-vector space من اللي أخدت الستة اللي قلتلهم + +341 +00:38:07,360 --> 00:38:13,760 +تعالوا على الشجة جيت مسكت أي واحدة فيكم لجيتها هي + +342 +00:38:13,760 --> 00:38:17,220 +كل صفر الأول كل صفر التاني كل صفر التالتة كل صفر + +343 +00:38:17,220 --> 00:38:20,160 +الرابعة كل صفر الخمسة كل صفر السادسة طلع بالضبط + +344 +00:38:20,160 --> 00:38:25,210 +تمام بعد ذلك جيت لها تاني بني كنستان تاني جديد مش + +345 +00:38:25,210 --> 00:38:29,890 +الكنستان الأولاني تمام و لجيتها بالشكل هذا لما + +346 +00:38:29,890 --> 00:38:33,650 +نمسكت من عند أول واحدة لأخر لغاية آخر واحدة من + +347 +00:38:33,650 --> 00:38:38,550 +هناك لجيت كل واحدة فيكوا هي عبارة عن حاصل ضرب + +348 +00:38:38,550 --> 00:38:41,530 +كنستان في الأولى زي كنستان في التانية زي كنستان في + +349 +00:38:41,530 --> 00:38:47,200 +السادسة إن حدث ذلك بقول البنات الستة هدول بولدوا كل + +350 +00:38:47,200 --> 00:38:52,760 +البنات اللي موجودة في القاعة أو أو الـ Vector space + +351 +00:38:52,760 --> 00:38:58,620 +هذا كله يولد بواسطة ده ست بنات صعبة؟ لأبدا، هيبقى + +352 +00:38:58,620 --> 00:39:03,040 +هذا معناه اللي الـ span تبع اللي طبعا نخش عمق شوية + +353 +00:39:03,040 --> 00:39:06,120 +في المحاضرة بعد الظهر اللي أنا منها أوقف مشان + +354 +00:39:06,120 --> 00:39:07,700 +نوزع أوراق diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/TyJEG3dRJH8_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/TyJEG3dRJH8_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..73221677bdeea69636b22798628cf15043f09474 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/TyJEG3dRJH8_postprocess.srt @@ -0,0 +1,1132 @@ +1 +00:00:19,620 --> 00:00:24,920 +بسم الله الرحمن الرحيم المرة اللى فاتت قلنا بدنا + +2 +00:00:24,920 --> 00:00:29,680 +نيجي لل complex solutions للمعادلة التفاضلية ذات + +3 +00:00:29,680 --> 00:00:35,990 +المعاملات الثابتة من الدرجة النونيةوبدأنا بأول + +4 +00:00:35,990 --> 00:00:40,310 +حالة ان هذه المعادلة لو جيبنا لها الجذور جيبنا + +5 +00:00:40,310 --> 00:00:44,730 +المعادلة المساعدة ومن ثم جيبنا لها الجذور الجذور + +6 +00:00:44,730 --> 00:00:48,870 +هذه قولنا قد تكون حقيقية ومختلفة قد تكون حقيقية + +7 +00:00:48,870 --> 00:00:54,930 +ومكررة قد تكون تخيولية أخدنا الحالة الأولى لو كانت + +8 +00:00:54,930 --> 00:01:00,490 +الجذور حقيقية ومختلفة والان ننتقل إذا كانت الجذور + +9 +00:01:00,490 --> 00:01:08,070 +ايش كانت؟التخيلية ممتاز جدا يبقى موضوعنا اليوم + +10 +00:01:08,070 --> 00:01:11,850 +موضوع ال complex rules يبقى حاطين العنوان complex + +11 +00:01:11,850 --> 00:01:15,270 +solutions of the differential equation of y يساوي + +12 +00:01:15,270 --> 00:01:20,490 +مين يساوي zero إذا بدنا نجي نجيب الحلول التخيلية + +13 +00:01:20,490 --> 00:01:24,870 +للمعادلة اللي بالشكل عنها هنا كيف بدى يكون شكلها + +14 +00:01:25,420 --> 00:01:29,380 +جال يعتبر المعادلة الأصلية اللى عندنا هذه اللى + +15 +00:01:29,380 --> 00:01:34,220 +بتدهن دراستنا فيها في ال section الماضى تمام ده + +16 +00:01:34,220 --> 00:01:37,260 +انا بدي حل هذه المعادلة طبعا ال a naught و ال a + +17 +00:01:37,260 --> 00:01:41,140 +one و ال a n minus one و ال a n كلهم ثوابت + +18 +00:01:52,970 --> 00:01:59,620 +الرقم هذا قد يكون حقيقي وقد يكون تخيّليطيب فرضنا + +19 +00:01:59,620 --> 00:02:04,300 +انه هذا حل لما جينا هذا الحل اشتقتنا مرة و اتنين و + +20 +00:02:04,300 --> 00:02:08,220 +ثلاثة و اربع و اثنتا و كل الحلول هذه are linearly + +21 +00:02:08,220 --> 00:02:14,740 +independent و من ثم حصلنا على المعادلة المساعدة + +22 +00:02:14,740 --> 00:02:19,880 +هذه من خلال تعويض BY ومشتقتها في هذه المعادلة + +23 +00:02:19,880 --> 00:02:23,480 +حصلنا على المعادلة هذه بجهد بسمها المعادلة + +24 +00:02:23,480 --> 00:02:29,590 +المساعدة للمعادلة السهر و بديها الرقمDouble star + +25 +00:02:29,590 --> 00:02:34,970 +أو بسميها المعادلة المميزة للمعادلة رقم star + +26 +00:02:34,970 --> 00:02:39,290 +المعادلة هذه هي اللي جذورها قد تكون حقيقية مختلفة + +27 +00:02:39,290 --> 00:02:43,210 +وقد تكون حقيقية مكررة وقد تكون complex موضوعنا + +28 +00:02:43,210 --> 00:02:46,570 +اليوم if the roots of equation double star are + +29 +00:02:46,570 --> 00:02:51,430 +complex يبقى then every pair of solutions are + +30 +00:02:51,430 --> 00:02:58,110 +conjugated كل زوج من هذه الحلول بيكون مترافقانهذا + +31 +00:02:58,110 --> 00:03:02,610 +يعني لو كان الحل الأول هو a زائد ib اللي هي R1 + +32 +00:03:02,610 --> 00:03:09,050 +يبقى R2 يكون a ناقص ib يبقى the two solutions of + +33 +00:03:09,050 --> 00:03:12,250 +the differential equation هذي R يعني لو كانت + +34 +00:03:12,250 --> 00:03:16,650 +المعادلة من الرتبة الثانية يبقى الحلول هتكون على + +35 +00:03:16,650 --> 00:03:25,820 +الشكل التاليالحل الأول يكون Y1 يساوي E أُس R1 X + +36 +00:03:25,820 --> 00:03:31,980 +يبقى E أُس R1 هو عبارة عن مين عن الجدر يطلع أنه A + +37 +00:03:31,980 --> 00:03:40,980 +زائد IB يبقى A زائد IB في ال X أو ان شئتم فقولوا E + +38 +00:03:40,980 --> 00:03:46,560 +في ال A X مضروبة في ال E أُس IBX + +39 +00:03:48,760 --> 00:03:54,140 +إذا وزعت ال X على القص فصلت اتنين إلى حاصل ضرب + +40 +00:03:54,140 --> 00:04:00,840 +لأنه عند الضرب إذا تساوت الأساسات تجمع الأسس هذا + +41 +00:04:00,840 --> 00:04:05,400 +الجزء الأول واضح أن هذا real ماليش دعوة إذا هذا + +42 +00:04:05,400 --> 00:04:13,890 +بروح بكتب زي ما هو Xبنجي ل E أُس I BX خدنا صيغة + +43 +00:04:13,890 --> 00:04:17,630 +Euler المرة اللي فاتت فقلنا للشغلات اللي من ال + +44 +00:04:17,630 --> 00:04:21,170 +complex number اللي بتلزمنا فكانت عندنا صيغة Euler + +45 +00:04:21,170 --> 00:04:26,230 +E أُس I ثيتا يساوي cosine theta زائد I sine theta + +46 +00:04:26,230 --> 00:04:34,730 +إذا هذه بدها تصير cosine BX زائد I sine BX + +47 +00:04:48,380 --> 00:04:58,730 +الحل الثاني اللي هو andيبقى Y2 بيسوي E أُس R2 X E + +48 +00:04:58,730 --> 00:05:02,510 +أُس A ناقص I B X + +49 +00:05:10,510 --> 00:05:16,490 +يبقى هذا الكلام E أس AX زي ما هو وهذه بصيغة Euler + +50 +00:05:16,490 --> 00:05:25,490 +كذلك اللي هي mean cosine BX ناقص I sine BX او ان + +51 +00:05:25,490 --> 00:05:35,790 +شئتم فقولوا يبقى E أس AX cosine BX ناقص I E أس AX + +52 +00:05:35,790 --> 00:05:37,990 +sine BX + +53 +00:05:40,030 --> 00:05:48,050 +طلعيلي في الحلال اتنين هذول عشان نلاحظ عليهم اتنين + +54 +00:05:48,050 --> 00:05:53,370 +نفس الشيء بس مفرجوا عن بعض مين بإشارة سالب يبقى + +55 +00:05:53,370 --> 00:05:59,050 +سالب I والله زائد I عند هذول ثوابت مظبوط ولا لا؟ + +56 +00:05:59,050 --> 00:06:03,010 +اه لو رجعنا للخواص اللي خدناها المرة اللي فاتت + +57 +00:06:03,010 --> 00:06:10,500 +الخاصية رقم خمسة فيهمخاصة رقم خامسة بتقول لو كان + +58 +00:06:10,500 --> 00:06:16,060 +ال W of X يساوي U of X زائد I of X عبارة عن + +59 +00:06:16,060 --> 00:06:20,720 +solution يبقى كل من المركبة الحقيقة والتخيلية + +60 +00:06:20,720 --> 00:06:26,080 +عبارة عن حل يبقى ال U of X عبارة عن حل وكذلك ال V + +61 +00:06:26,080 --> 00:06:32,700 +of X عبارة عن حل مظبوطك مكتوب معاكم صح؟ساكتين ان + +62 +00:06:32,700 --> 00:06:39,210 +.. افتح دافترك وشوف الخاصية رقم 5قاصية رقم خمسة في + +63 +00:06:39,210 --> 00:06:42,310 +المرة الماضية في نهاية المحاضرة الماضية لما + +64 +00:06:42,310 --> 00:06:47,210 +ابتدأنا هذا section أخدنا ست خواص قاصية رقم خمسة + +65 +00:06:47,210 --> 00:06:52,270 +فيهم مرة تانية بتقول لو كان W of X بدي أساوي U of + +66 +00:06:52,270 --> 00:06:57,010 +X زائد I V of X عبارة عن solution للمعادلة + +67 +00:06:57,010 --> 00:07:01,630 +التفاضلية يبقى كلهم من U of X وV of X عبارة عن + +68 +00:07:01,630 --> 00:07:06,370 +solution مظبوط ولا لأ يبقى معنا هذا الكلام from + +69 +00:07:11,410 --> 00:07:23,570 +property five we have انه E أس X E أس X cosine BX + +70 +00:07:23,570 --> 00:07:35,590 +and ال E أس X sin BX are two solutions + +71 +00:07:52,310 --> 00:07:55,890 +هل هم linearly independent ولا linearly + +72 +00:07:55,890 --> 00:08:00,790 +independent الله أعلم إذا طلع linearly independent + +73 +00:08:00,790 --> 00:08:07,010 +يبقى دول بيجيبولي شكل ال general solutionطيب يبقى + +74 +00:08:07,010 --> 00:08:11,410 +هنا باجي بقوله الرونسكين as a function of x يسوى + +75 +00:08:11,410 --> 00:08:22,860 +المحدد E أس AX Cos BX و E أس AX Sin BXبدنا نشتق + +76 +00:08:22,860 --> 00:08:31,260 +هذه مشتقة حاصل ضرب دليتين يبقى a في e أس a x في + +77 +00:08:31,260 --> 00:08:41,120 +cosine bx ناقص b في e أس a x في sin bx أفضل cosine + +78 +00:08:41,120 --> 00:08:46,980 +بسلب sin ضرب مشتقة الزاوية هذا بنفس الطريقة a في e + +79 +00:08:46,980 --> 00:08:57,120 +أس a x في sin bxزائد اللي هو B في E أس AX في Cos + +80 +00:08:57,120 --> 00:09:08,660 +BX شكلها النانو يبقى هذا المحدد كالتالي الرئيس + +81 +00:09:08,660 --> 00:09:17,950 +الناقص الثانوي يبقى A E أس اتنين AXفى مين؟ فى sin + +82 +00:09:17,950 --> 00:09:28,430 +بي إكس كسين بي إكس زائدب في الـ E أسي اتنين AX + +83 +00:09:28,430 --> 00:09:38,150 +كوصين ترابيع للـ BX هذا الرئيسي ناقصي الثانوي ناقص + +84 +00:09:38,150 --> 00:09:48,570 +A في الـ E أسي اتنين AX في الـ sine بيكس كوصينبكس + +85 +00:09:48,570 --> 00:09:59,490 +ناقص مع ناقص بصير زائد بي أس اتنين اكس صين ترابيع + +86 +00:09:59,490 --> 00:10:01,570 +بكس + +87 +00:10:03,720 --> 00:10:09,580 +أظن هذه بالسالب وهذه بالموجة بنفس الشيء مع السلامة + +88 +00:10:09,580 --> 00:10:16,840 +يساوي بي في e أس اتنين ax في cosine تربيه بي اكس + +89 +00:10:16,840 --> 00:10:21,200 +زائد sin تربيه بي اكس اللي هو القداش اللي بين قسين + +90 +00:10:21,200 --> 00:10:32,440 +يساوي بي في e أس اتنين ax طبيب + +91 +00:10:32,440 --> 00:10:40,880 +كويسالسؤال هو هل يمكن ل B ان تبقى ب Zero؟ B تبقى ب + +92 +00:10:40,880 --> 00:10:48,850 +Zero؟ من وين جتني B؟ هي جتني من هناهذا واحد وهذا + +93 +00:10:48,850 --> 00:10:53,150 +واحد، لو كانت هدف Zero أو هدف Zero، بيظل الحل + +94 +00:10:53,150 --> 00:10:56,230 +Complex لو بيصير Real، بيصير Real، يبقى احنا + +95 +00:10:56,230 --> 00:11:00,450 +طالعنا برا الكلام ده، إذا لا يمكن الـB أن تساوي + +96 +00:11:00,450 --> 00:11:04,690 +Zero، هذا واحد. التانية، هل ال exponential في يوم + +97 +00:11:04,690 --> 00:11:09,210 +من الأيام بتساوي Zero؟ طبعاً لأ، يبقى بناء عليه + +98 +00:11:09,210 --> 00:11:13,450 +المحدد هذا لا يساوي Zeroإذن اتنين هذور are + +99 +00:11:13,450 --> 00:11:17,410 +linearly independent solution يبقى هذول بيجيبولي + +100 +00:11:17,410 --> 00:11:20,750 +main الحل العام يبقى هنا + +101 +00:11:27,130 --> 00:11:35,070 +And الـ E أُس X في side بي X are linearly + +102 +00:11:35,070 --> 00:11:45,010 +independent يبقى بناء عليه The general solution of + +103 +00:11:45,010 --> 00:11:46,830 +equation + +104 +00:11:50,280 --> 00:11:57,780 +ما رأيكوا باخد E أس A X عامل مشترك بيظل C1 في + +105 +00:11:57,780 --> 00:12:04,860 +cosine بيكس زي C2 في sin بيكس بالشكل اللي عندنا + +106 +00:12:04,860 --> 00:12:12,440 +مرة + +107 +00:12:12,440 --> 00:12:13,060 +تانية بقول + +108 +00:12:17,870 --> 00:12:23,910 +جلبنا كل من R واحد و R اتنين يبقى صار عندي الحل + +109 +00:12:23,910 --> 00:12:28,690 +لأن الحل الأول Y one E أس R one X حشلنا ال R one و + +110 +00:12:28,690 --> 00:12:34,630 +حطينا بدالها A زائد I B X فكيت الجزء وصار two + +111 +00:12:34,630 --> 00:12:38,650 +exponentials هذه الريا اللي بخليها زي ما هي هذه + +112 +00:12:38,650 --> 00:12:43,110 +complex مكتوبة بصيغة Euler كتبناها بالشكل اللي + +113 +00:12:43,110 --> 00:12:50,460 +عندنا دهبالمثل Y2E2R2A-IBX زي كتبناها بالشكل اللي + +114 +00:12:50,460 --> 00:12:53,920 +عندنا هذا الدالة اللي هنا هي الدالة اللي هنا و + +115 +00:12:53,920 --> 00:12:57,680 +اللي هنا اللي هنا الباقية تكون ثوابت يبقى طبقة + +116 +00:12:57,680 --> 00:13:04,810 +للخاصية كومنكس نمذجالسابقة رقم خمسة EOSX Cos BX + +117 +00:13:04,810 --> 00:13:10,770 +وكذلك EOSX Sin BX are solutions لكن هل هدول هم + +118 +00:13:10,770 --> 00:13:15,390 +اللي بيجيبولي ال general solution ولا لأ او هم ال + +119 +00:13:15,390 --> 00:13:19,710 +basesللـ vector space of all solutions و لا لأ + +120 +00:13:19,710 --> 00:13:24,090 +الله أعلم إذا لو روحت خدت اللي هم الرونسكين حسبنا + +121 +00:13:24,090 --> 00:13:28,290 +الرونسكين اللي جيته ماله لا يساوي 0 يقل 2 هذول are + +122 +00:13:28,290 --> 00:13:32,810 +linearly independent مدام linearly independent + +123 +00:13:32,810 --> 00:13:37,170 +يبقى بناء عليه شكل ال general solution constant في + +124 +00:13:37,170 --> 00:13:43,680 +الأول زائد constant في التانيالـ E Os X عامل + +125 +00:13:43,680 --> 00:13:47,740 +المشترك ما بين الاتنين أخدناهم يبقى شكل الحل في + +126 +00:13:47,740 --> 00:13:54,280 +حالة ال complex root هو E Os X في C1 Cos BX زي C2 + +127 +00:13:54,280 --> 00:14:00,730 +Sin BX يبقى يا بناتلو احنا بنحل شغل رسمي الآن من + +128 +00:14:00,730 --> 00:14:04,830 +حد ملاقي ال roots هدول complex مافيش داعي لكل + +129 +00:14:04,830 --> 00:14:10,410 +الكلام هذا انا اعطتهلك نظري ووصلتك لمين للإجابة من + +130 +00:14:10,410 --> 00:14:13,550 +حد ما جيبيه ال roots قوليلي الحل على الشكل التالف + +131 +00:14:13,550 --> 00:14:19,570 +مين هي ال a هو الرقم الأول اللي عندنا هذا طب افرض + +132 +00:14:19,570 --> 00:14:24,340 +ماطلعش عندي a لما جبته طلعت بس ibمنها دي بتشيل + +133 +00:14:24,340 --> 00:14:27,900 +بيطيل E و ال zero اللي هو ال main إيه بواحد؟ طب و + +134 +00:14:27,900 --> 00:14:31,360 +ال B main هو المعامل تبع ال I اللي عندنا ده + +135 +00:14:31,360 --> 00:14:35,420 +وبالتالة صارت قصتنا بسيطة حد فيكم بتسأل أسئلة لإنه + +136 +00:14:35,420 --> 00:14:40,460 +خلصنا النظر تبع ال section بدنا نبدأ ناخد أمثلة حد + +137 +00:14:40,460 --> 00:14:47,380 +فيكم ليه تسأل هنا؟ أه فيش؟ إذا مافيش أنا بسألك كل + +138 +00:14:47,380 --> 00:14:50,280 +وقت اكتب اسم و رقم الجامعة هنا تفضل + +139 +00:14:54,150 --> 00:14:58,650 +طيب يبقى بدنا نجي الأول مثال على هذا الموضوع + +140 +00:14:58,650 --> 00:15:07,370 +المثال بيقول يبقى example one يقول + +141 +00:15:07,370 --> 00:15:09,110 +find the general solution + +142 +00:15:21,630 --> 00:15:27,350 +of the differential equation of the differential + +143 +00:15:27,350 --> 00:15:39,890 +equation للمعادلة التفاضلية D² زائد أربعة D زائد + +144 +00:15:39,890 --> 00:15:45,890 +خمسة كله في ال Y بده يساوي مين بده يساوي Zero + +145 +00:16:14,340 --> 00:16:19,500 +قبل نبدأ حل أنا هسأل لان قلتلكوا حد بتسأل أي سؤال + +146 +00:16:19,500 --> 00:16:24,400 +ولو حد حكى اتطلقته ساكتي يبقى انا بدي اسأل احنا + +147 +00:16:24,400 --> 00:16:28,780 +حكينا اللي طلعنا الحل هذا لو كانت المعادلة من + +148 +00:16:28,780 --> 00:16:36,800 +الرتبة الثانية فبفرض طلعت من الرتبة التالتةبدي + +149 +00:16:36,800 --> 00:16:41,240 +ابدأ نفس القصة USRX هو عبارة عن حل نجيب ال + +150 +00:16:41,240 --> 00:16:44,480 +characteristic equation بس ال characteristic لها + +151 +00:16:44,480 --> 00:16:51,620 +ثلاثة حلول ممكن يطلعوا التلاتة complex؟ ممكن؟ مش + +152 +00:16:51,620 --> 00:16:55,460 +ممكنية ممكن يطلعوا اتنين complex ان الواحد هو + +153 +00:16:55,460 --> 00:17:00,380 +المرافق تبعه اذا لا يمكن يكونوا التلاتة complex + +154 +00:17:00,380 --> 00:17:05,280 +اتنين complex واحد real طب افرض من الرتبة الرابعة + +155 +00:17:06,130 --> 00:17:12,350 +وطلع أربعة complex يبقى كل اتنين بيكونوا conjugate + +156 +00:17:12,350 --> 00:17:20,890 +يعني احنا هدول حلين بيجي كمان زائد C تلاتة في E أس + +157 +00:17:20,890 --> 00:17:26,170 +الرقم غير الرقم هذا هيكون و ال B هذي كمان رقم تاني + +158 +00:17:26,170 --> 00:17:31,250 +يبقى زيها بس بنكررها للرقامين الآخرين و هكذايعني + +159 +00:17:31,250 --> 00:17:35,370 +كل اتنين بيكون ر conjugate يبقى ال exponential + +160 +00:17:35,370 --> 00:17:39,790 +بيكون L أُس انتقلت لرقم تلاتة بلاي ال exponential + +161 +00:17:39,790 --> 00:17:43,750 +ل L أُس تاني والزاوية تابعة ال cosine والsin كمان + +162 +00:17:43,750 --> 00:17:48,490 +زاوية تانية و هكذاواضح كلامي؟ لأن أول ما بدأنا هو + +163 +00:17:48,490 --> 00:17:52,890 +معادلة من الرتبة النونية، بسطنا وقلنا معادلة من + +164 +00:17:52,890 --> 00:17:57,470 +الرتبة الثانية وليه سمناها المعادلة رقم واحد، لكن + +165 +00:17:57,470 --> 00:18:00,090 +لو صرت من الرتبة التالتة أو الرابعة أو الخمسة، + +166 +00:18:00,090 --> 00:18:04,960 +شوفيإذا رتبة فردية لا يمكن يطلعوا كلهم complex + +167 +00:18:04,960 --> 00:18:08,780 +ممكن يكونوا complex و إذا ريال لكن إذا رتبة زوجية + +168 +00:18:08,780 --> 00:18:13,860 +ممكن كلهم يكونوا complex عادي جدا ليش؟ لأن كل حل + +169 +00:18:13,860 --> 00:18:20,340 +المرافق طبعه على طول الخطط طب نجي لسؤالناانت كاتب + +170 +00:18:20,340 --> 00:18:23,580 +D هنا بقول لك آدم هم نار و نارة اللي فاتت قولنا D + +171 +00:18:23,580 --> 00:18:27,620 +هي المشتقة الأولى بالنسبة ل X D² هي المشتقة + +172 +00:18:27,620 --> 00:18:32,660 +التانية D تكيب هي المشتقة التالتة و هكذا يبقى D² + +173 +00:18:32,660 --> 00:18:38,500 +هذه المشتقة الثانية بالنسبة ل X لمين؟ لل Yهنا D هي + +174 +00:18:38,500 --> 00:18:43,580 +المشتقة الأولى ل Y بالنسبة لك هذه خمسة Y يبقى خمسة + +175 +00:18:43,580 --> 00:18:47,460 +اليوم مقدار ثابت يبقى كام بدأ أبدأ الحل بدي أبدأ + +176 +00:18:47,460 --> 00:18:53,500 +زي المرة اللي فاتت يبقى بداشي أقوله let افترض ان + +177 +00:18:53,500 --> 00:19:01,680 +ال Y تساوي E أُس RX ب A solution وسميه للمعادلة + +178 +00:19:01,680 --> 00:19:10,560 +الأصلية دي star of thedifferential equation star + +179 +00:19:10,560 --> 00:19:15,280 +يبقى + +180 +00:19:15,280 --> 00:19:28,460 +then the characteristic او auxiliary equation is R + +181 +00:19:28,460 --> 00:19:38,490 +تربيع زائد 4R زائد 5 يساوي 0المعادلة هذه ممكن + +182 +00:19:38,490 --> 00:19:47,830 +تحليلها؟ ممكنية تحليلها؟ متأكدين؟ ليس ممكنية على + +183 +00:19:47,830 --> 00:19:53,070 +الإطلاق، لو كانت هذه ستة اللي في النص، أه ممكن، + +184 +00:19:53,070 --> 00:19:57,350 +غير هيك يبعتلك الله، لكن لو كانت الإشارة السالب + +185 +00:19:57,350 --> 00:20:01,610 +تبعت الأربعة، أه ممكن بصير، لكن بالشكل هذا لا + +186 +00:20:01,610 --> 00:20:04,730 +يمكن، إذا المعادلة من الدرجة التانية بروح بحلها + +187 +00:20:04,730 --> 00:20:09,920 +باستخدامالقانون اللى بقول ر يساوي ناقص با زي لو + +188 +00:20:09,920 --> 00:20:12,460 +ناقص الجدر التربية اللى بقى تربية ناقص أربع ألف + +189 +00:20:12,460 --> 00:20:18,200 +جيم كله على اتنين ألف يبقى مدان عليه بقوله ر يساوي + +190 +00:20:18,200 --> 00:20:24,300 +ناقص با قداش عنده هنا أربعزائد او ناقص الجدري + +191 +00:20:24,300 --> 00:20:30,960 +التربيعي لبا تربيالي ب 16 ناقص 4 في ألف اللي هو + +192 +00:20:30,960 --> 00:20:35,420 +بواحد جيمي اللي هو قداش اللي هو بخمسة كله على + +193 +00:20:35,420 --> 00:20:41,180 +اتنين ألف اتنين في واحد يساوي سالب أربع زائد او + +194 +00:20:41,180 --> 00:20:46,700 +ناقص الجدري التربيعي عشرين ناقص ستاشر يبقى القداش + +195 +00:20:47,090 --> 00:20:54,050 +سالب اربعة كمية تحيولية يبقى سالب اربعة زائد او + +196 +00:20:54,050 --> 00:21:00,270 +ناقص اتنين I جدر الاربعة بتنين بيظل جدر التربيه + +197 +00:21:00,270 --> 00:21:06,050 +اللي سالب واحد اللي هو ب I كله على اتنين يبقى ناقص + +198 +00:21:06,050 --> 00:21:11,790 +اتنين زائد او ناقص I يبقى ال ايه الجدش عندي يا + +199 +00:21:11,790 --> 00:21:12,510 +بنات؟ + +200 +00:21:19,630 --> 00:21:32,490 +the general solution of the differential equation + +201 +00:21:32,490 --> 00:21:42,680 +star isY to 7 E أُس A X الـ A عندى بقدرش بسالي + +202 +00:21:42,680 --> 00:21:51,840 +باتنين X فى C واحد كوصين ال B بقدرش بواحد كوصين X + +203 +00:21:51,840 --> 00:21:58,700 +زايد C اتنين صين ال X كفى الله المؤمنين القتالى + +204 +00:21:58,700 --> 00:22:01,980 +يبقى هذا حل المعادلة التفاضلية + +205 +00:22:04,640 --> 00:22:13,960 +المثال الثاني example 2 solve + +206 +00:22:13,960 --> 00:22:22,680 +the initial value problemاللي هي y double prime + +207 +00:22:22,680 --> 00:22:30,200 +زائد ستاشر y بده يساوي zero وال y عند ال zero بده + +208 +00:22:30,200 --> 00:22:35,320 +يساوي لإتنين وال y prime عند ال zero بده يساوي + +209 +00:22:35,320 --> 00:22:36,360 +سالم اتنين + +210 +00:22:44,390 --> 00:22:50,990 +يبقى بنفس الطريقة افترض ان ال Y تساوي E أُص R X + +211 +00:22:50,990 --> 00:23:02,310 +بيه solution of the initial value problem وسموها + +212 +00:23:02,310 --> 00:23:11,290 +لي Star then the characteristic equation + +213 +00:23:15,620 --> 00:23:25,200 +R تربيع زائد ستاشر يساوي زيرو هذا بدى يعطينا يا + +214 +00:23:25,200 --> 00:23:32,120 +بنات اللي هو قداش اللي هو R تساوي زائد او ناقص + +215 +00:23:32,120 --> 00:23:41,040 +الجذر التربيع الى ناقص ستاشر اللي هو قداش زائد او + +216 +00:23:41,040 --> 00:23:48,900 +ناقص اربعة Iيبقى ال A عندي بقدرش؟ Zero و ال B + +217 +00:23:48,900 --> 00:23:54,860 +باربع يعني هذا معناته ان ال A تساوي Zero و ال B + +218 +00:23:54,860 --> 00:23:59,720 +تساوي أربع يبقى بناء عليه أصبح the solution + +219 +00:24:14,300 --> 00:24:18,840 +يبقى C1cos4xC2sin4x وماعنديش exponential + +220 +00:24:21,930 --> 00:24:29,930 +ما رايكوا بالمرة نجيب y' يساوي اللي هو سالب 4 c1 + +221 +00:24:29,930 --> 00:24:40,600 +sin 4x زائد 4 c2 cos 4xبنجي لان نقش ال condition + +222 +00:24:40,600 --> 00:24:47,720 +الأول جالي y عند ال zero بده يتساوي قداش اتنين هذا + +223 +00:24:47,720 --> 00:24:56,500 +معناته انه اتنين بده يساوي c واحد قصين ال zero اظن + +224 +00:24:56,500 --> 00:25:02,580 +صين ال zero ب zeroيبقى طارت يبقى زائد زيرو هذا + +225 +00:25:02,580 --> 00:25:07,980 +معناته انه C1 يساوي 2 لان ال cosine صفر بواحد الآن + +226 +00:25:07,980 --> 00:25:12,900 +نيجي لل Y prime عند ال zero Y prime عند ال zero + +227 +00:25:12,900 --> 00:25:18,580 +بده ساوي سالي ب 2 هذا implies انه سالي ب 2 بدنا + +228 +00:25:18,580 --> 00:25:27,130 +نيجي لل Y primeيبقى zero وهنا زائد اربع c اتنين + +229 +00:25:27,130 --> 00:25:33,790 +cosine صفر cosine صفر بواحد يبقى معناته انه c + +230 +00:25:33,790 --> 00:25:39,490 +اتنين بده يساوي سالب نص يبقى باجي بقوله هنا + +231 +00:25:39,490 --> 00:25:43,890 +solution of + +232 +00:25:44,620 --> 00:25:57,820 +The initial value problem is Y تساوي C1-B2 Cos 4X + +233 +00:25:57,820 --> 00:26:04,380 +C2-1.5 Sin 4X + +234 +00:26:24,020 --> 00:26:34,960 +الأمثلة الثالثة Solve + +235 +00:26:34,960 --> 00:26:44,720 +the differential equation Y + +236 +00:26:44,720 --> 00:26:51,240 +to the derivative of 5 V + +237 +00:26:55,090 --> 00:27:02,990 +ناقص 16Y' يساوي 0 هذه + +238 +00:27:02,990 --> 00:27:04,210 +معدلة من أي رتبة + +239 +00:27:06,830 --> 00:27:11,790 +الخامسة معناته عندي خمسة حلول معناته في إشي + +240 +00:27:11,790 --> 00:27:17,410 +complex و إشي real تمام؟ لإنه فردي الرقم فردي يمكن + +241 +00:27:17,410 --> 00:27:23,370 +يكون عندي أربع complex و واحد real أو تلاتة real و + +242 +00:27:23,370 --> 00:27:28,590 +اتنين complex مظبوط؟ هاي الخمسة تعالوا نشوف يبقى + +243 +00:27:28,590 --> 00:27:32,510 +بدي أبدأ بنفس التكتيك المتبعة عند حل المثالين + +244 +00:27:32,510 --> 00:27:35,050 +السابقين + +245 +00:27:35,740 --> 00:27:45,940 +بدا اقول له let Y تساوي E بصر X بيه solution of + +246 +00:27:45,940 --> 00:27:53,640 +the differential equation star وسميلي هذه المعادلة + +247 +00:27:53,640 --> 00:28:00,430 +اللي هي رقم starيبقى بناءً عليه بقوله دي + +248 +00:28:00,430 --> 00:28:10,190 +characteristic equation is R أس خمسة ناقص ست عشر R + +249 +00:28:10,190 --> 00:28:18,240 +بدي ساوي قداش Zeroأو ممكن اخد R عامل مشترك بظل R + +250 +00:28:18,240 --> 00:28:24,880 +أربعة ناقص ستة عشر يسوى جداش Zero هذا فرق بين + +251 +00:28:24,880 --> 00:28:33,070 +المربعين يبقى Rفى R تربيع ناقص أربعة فى R تربيع + +252 +00:28:33,070 --> 00:28:37,970 +زائد أربعة يساوي Zero هذا الجوز كمان فرق بين + +253 +00:28:37,970 --> 00:28:46,010 +المربعين يبقى R فى R ناقص اتنين فى R زائد اتنين فى + +254 +00:28:46,010 --> 00:28:52,070 +R تربيع زائد أربعة يساوي Zero هذا لا يمكن تحليله + +255 +00:28:52,070 --> 00:28:59,160 +تمام؟ إذا بقدر أقول هنا يا إما R تساوي Zeroياما R + +256 +00:28:59,160 --> 00:29:06,600 +تساوي اتنين، ياما R تساوي سالب اتنين، ياما R تربيه + +257 +00:29:06,600 --> 00:29:12,060 +تساوي سالب اربعة، هذا بتعطيك ان R تساوي زائد او + +258 +00:29:12,060 --> 00:29:23,380 +ناقص جداش اتنين I إذا أصلا عندي كام حلخمسة حلول + +259 +00:29:23,380 --> 00:29:28,880 +اتنين complex و تلاتة real تمام؟ اذا بتروح اجيب + +260 +00:29:28,880 --> 00:29:33,940 +شكل الحل العام بس ال real زي ما انت شايفها هذا + +261 +00:29:33,940 --> 00:29:40,520 +عنده ال a بقداش؟ Zero و ال b؟ باتنين يبقى هذا الحل + +262 +00:29:40,520 --> 00:29:47,460 +بالذات يعني ان a تساوي zero و b تساوي اتنين يبقى + +263 +00:29:47,460 --> 00:29:54,900 +بناء عليه أصبحهذه هي حلقة + +264 +00:29:54,900 --> 00:30:02,080 +عامة لإيقاع + +265 +00:30:08,760 --> 00:30:16,100 +سي واحد في E أس زيرو E أس زيرو بجداش مع السلامة + +266 +00:30:16,100 --> 00:30:24,360 +زائد C اتنين E أس اتنين X زائد C تلاتة E أس ناقص + +267 +00:30:24,540 --> 00:30:29,820 +أتنين أكس خلصنا ال real وزي ما انت شايف وقال هدول + +268 +00:30:29,820 --> 00:30:34,360 +التلاتة real and different ولا واحد يوم زي التاني + +269 +00:30:34,360 --> 00:30:39,380 +يعني كأن هذا السؤال أصبح مزيجا ما بين ال section + +270 +00:30:39,380 --> 00:30:44,480 +اللي بين إيدنا و ال sectionالجذور الماضي كانوا + +271 +00:30:44,480 --> 00:30:50,040 +حقيقية ومختلفة يبقى انا عندي ثلاثة جذور وهذه + +272 +00:30:50,040 --> 00:30:54,500 +الثلاثة حقيقية ومختلفة هذول اتنين complex و ال + +273 +00:30:54,500 --> 00:30:58,920 +complex are conjugated يبقى تبعين الحقيقه بده اطبق + +274 +00:30:58,920 --> 00:31:02,440 +عليهم الحقيقه و ال complex بده اطبق عليهم ال + +275 +00:31:02,440 --> 00:31:11,210 +complex زادكو صين اتنين اكس زائد C خمسة صين اتنين + +276 +00:31:11,210 --> 00:31:17,290 +اكس لإن E of Zero يبقى داشر بواحد يبقى هذا الشكل + +277 +00:31:17,290 --> 00:31:22,830 +ال general solution لمين للمعادلة اللي عندنا فهم + +278 +00:31:22,830 --> 00:31:27,250 +اللي هو المعادلة رقم start حد فيكم بتسأل أي سؤال + +279 +00:31:27,250 --> 00:31:31,190 +انا + +280 +00:31:31,190 --> 00:31:39,780 +بسأل بعدين اهطيب انا بسأل بسألكوا كلكوا حل المسائل + +281 +00:31:39,780 --> 00:31:47,540 +التالية exercises خمسة تلاتة المسائل السؤال التالت + +282 +00:31:47,540 --> 00:31:56,300 +بدنا a و b و c والسؤال السابع والسؤال التام + +283 +00:32:00,350 --> 00:32:05,690 +هذا الرقم D أول مثال فيهم هو رقم D + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/W-gk0MowpAY.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/W-gk0MowpAY.srt new file mode 100644 index 0000000000000000000000000000000000000000..0e0c2ece0a6ef8abb3a756192e2ddfbf738809e9 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/W-gk0MowpAY.srt @@ -0,0 +1,1458 @@ +1 +00:00:20,700 --> 00:00:25,610 +بسم الله الرحمن الرحيم أنت هنا في section 2-4 من + +2 +00:00:25,610 --> 00:00:31,490 +ضرب المصفوفة بمقدار ثابت أو جمع مصفوفتين أو ال raw + +3 +00:00:31,490 --> 00:00:35,570 +vectors و ال column vectors ننتقل هنا في section 2-5 + +4 +00:00:35,570 --> 00:00:40,270 +ل matrix multiplication يعني عملية ضرب المصوفات + +5 +00:00:40,270 --> 00:00:44,210 +يعني بدنا نضرب مصفوفتين في بعض ال section السابق + +6 +00:00:44,210 --> 00:00:48,010 +كان ضرب كونستان في مصفوفة أما هنا بدنا نضرب two + +7 +00:00:48,010 --> 00:00:53,950 +matrices مع بعضهم البعض بقول لو كان عندنا ال system + +8 +00:00:53,950 --> 00:00:57,890 +of linear equation بالشكل اللي عندنا هذا كويس هذا + +9 +00:00:57,890 --> 00:01:02,810 +ال system بدي أحاول أصيغه بصياغة أخرى باستخدام + +10 +00:01:02,810 --> 00:01:07,870 +عملية ضرب المصفوفات إذا بدي أجمع الثوابت هذول + +11 +00:01:07,870 --> 00:01:13,850 +كلهم في مصفوفة والمجاهيل ال X في مصفوفة والثوابت + +12 +00:01:13,850 --> 00:01:17,770 +في مصفوفة زي ما أنتم شايفين الشكل اللي عندنا هذا + +13 +00:01:18,060 --> 00:01:22,200 +يبقى هذا ال system قدرت أكتب على شكل حاصل ضرب + +14 +00:01:22,200 --> 00:01:27,560 +مصفوفتين بده يساوي مان بده يساوي مصفوفة المصفوفة هذه + +15 +00:01:27,560 --> 00:01:32,500 +إيش كنا نسميها يا بنات؟ مصفوفة المعاملات الـ + +16 +00:01:32,500 --> 00:01:38,440 +coefficient matrix هذه المصفوفة مصفوفة المجاهيل الـ + +17 +00:01:38,440 --> 00:01:43,620 +unknown matrix هذه مصفوفة الثوابت الـ constant + +18 +00:01:43,620 --> 00:01:47,920 +matrix يبقى هذه مصفوفة الثوابت هذه مصفوفة المجاهيل + +19 +00:01:47,920 --> 00:01:54,420 +هذه مصفوفة المعاملات لو ضربنا هذول في بعض بيطلع + +20 +00:01:54,420 --> 00:01:58,020 +عندنا من؟ بيطلع عندنا اللي فوق كيف عملية الضرب؟ + +21 +00:01:58,040 --> 00:02:09,500 +بضرب الصف الأول في العمود الأول A11x1 A12x2 A13x3 + +22 +00:02:09,500 --> 00:02:13,060 +A14x4 A1nxn + +23 +00:02:18,190 --> 00:02:23,950 +وهكذا الآن الصف الثاني في نفس العمود اللي عندنا + +24 +00:02:23,950 --> 00:02:28,790 +هذا بيطلع المعادلة رقم اثنين الصف الثالث في نفس + +25 +00:02:28,790 --> 00:02:33,150 +العمود بيطلع المعادلة اثنين الصف رقم M في العمود + +26 +00:02:33,150 --> 00:02:39,170 +بيعطينا المعادلة رقم M اللي عندنا طيب هذا بدي يخلي + +27 +00:02:39,170 --> 00:02:47,130 +عندنا شرط متى يمكن ضرب مصفوفتين تمام يمكن ضربها ثاني + +28 +00:02:47,130 --> 00:02:53,370 +المصفوفتين ثاني إذا كان عدد أعمدة المصفوفة الأولى يساوي + +29 +00:02:53,370 --> 00:02:59,290 +عدد صفوف المصفوفة الثانية طلعي هذول الأعمدة كم واحد؟ + +30 +00:02:59,290 --> 00:03:05,470 +واحد اثنين ثلاثة أربعة إن عدد صفوف الثانية واحد + +31 +00:03:05,470 --> 00:03:11,730 +اثنين ثلاثة أربعة إن يبقى تساوي عدد أعمدة الأولى + +32 +00:03:11,730 --> 00:03:18,180 +مع عدد صفوف الثانية إذا يمكن أن تتم عملية الضرب + +33 +00:03:18,180 --> 00:03:25,660 +والناتج هو مصفوفة عبارة عن عدد صفوف المصفوفة + +34 +00:03:25,660 --> 00:03:33,050 +الأولى وأعمدة من المصفوفة الثانية وهكذا هذا الكلام + +35 +00:03:33,050 --> 00:03:36,130 +اللي أنا بقوله بدنا نحطه في صيغة الـ definition + +36 +00:03:36,130 --> 00:03:40,590 +التالية اللي موجود عندنا ال definition بيقول ماذا + +37 +00:03:40,590 --> 00:03:48,290 +يأتي If ال A is an اللي هو مين M في N matrix يبقى + +38 +00:03:48,290 --> 00:03:54,030 +مصفوفة ال size تبعها M في N عدد الصفوف M عدد + +39 +00:03:54,030 --> 00:04:01,250 +الأعمدة N و B كانت عبارة عن matrix ل N في K يبقى + +40 +00:04:01,250 --> 00:04:06,170 +عدد الصفوف يساوي N وعدد الأعمدة يساوي K يبقى عدد + +41 +00:04:06,170 --> 00:04:11,410 +الصفوف هنا يساوي عدد الأعمدة هنا بالضبط تماما إذا + +42 +00:04:11,410 --> 00:04:17,150 +يمكن أن تتم عملية الضرب then we define the + +43 +00:04:17,150 --> 00:04:20,730 +multiplication matrix المصفوفة الناتجة من عملية + +44 +00:04:20,730 --> 00:04:26,390 +ضرب بدي أعطيها الرمز capital C وهي تساوي A في B + +45 +00:04:26,390 --> 00:04:33,070 +with size M في K يعني يا بنات المصفوفة الأولى M في + +46 +00:04:33,070 --> 00:04:42,400 +N والثانية N في K البسط بهذه وهذه بيظل M في K يبقى + +47 +00:04:42,400 --> 00:04:48,420 +المصفوفة الناتجة بدها يكون فيها M من الصفوف و K من + +48 +00:04:48,420 --> 00:04:53,300 +الأعمدة واضح كلامنا كم؟ مرة ثانية بقول يبقى أنا عند + +49 +00:04:53,300 --> 00:04:58,760 +المصفوفة الأولى نظامها M في N المصفوفة الثانية + +50 +00:04:58,760 --> 00:05:04,080 +نظامها N في K عدد الأعمدة في الأولى يساوي عدد + +51 +00:05:04,080 --> 00:05:09,380 +الصفوف في الثانية إذا يمكن أن نقوم بعملية الضرب طب + +52 +00:05:09,380 --> 00:05:14,560 +ضربنا شو شكل المصفوفة الناتجة شكلها ومصفوفة فيها M + +53 +00:05:14,560 --> 00:05:20,500 +من الصفوف وK من الأعمدة هذا يجعلني أطرح السؤال + +54 +00:05:20,500 --> 00:05:28,850 +التالي أنا هنا ضربت A في B هل هذه هي B في A؟ اثنين + +55 +00:05:28,850 --> 00:05:33,350 +هل يمكن أن تتم عملية الـ B في A؟ بقول والله ما هنا + +56 +00:05:33,350 --> 00:05:38,810 +عارفين إذا لو جيت ال B في A يبقى بدي أكتب ال B في + +57 +00:05:38,810 --> 00:05:46,910 +الأول ال B اللي هي N في K الآن A ل M في N يبقى M + +58 +00:05:46,910 --> 00:05:53,110 +في N عدد الأعمدة هنا لا يساوي عدد الصفوف إذا لا + +59 +00:05:53,110 --> 00:05:58,790 +يمكن أن تتم عملية الضرب هذه إذا بناء على ذلك بقدر + +60 +00:05:58,790 --> 00:06:05,450 +أستنتج أن ال A في ال B ليه تساوي B في A؟ يبقى عملية + +61 +00:06:05,450 --> 00:06:10,530 +ضرب المصفوفات ليست عملية إبدالية، بعكس الجمع + +62 +00:06:11,180 --> 00:06:16,000 +جمع المصفوفة عملية إبدالية لكن الضرب عملية ليست + +63 +00:06:16,000 --> 00:06:20,440 +إبدالية يبقى ضرب الابتكاشن matrix is not + +64 +00:06:20,440 --> 00:06:26,280 +commutative ليست عملية إبدالية تعالوا نشوف هذا + +65 +00:06:26,280 --> 00:06:29,960 +الكلام على أرض الواقع بأمثلة مختلفة + +66 +00:06:41,170 --> 00:06:46,570 +يعني إذا ما عرف بدك تضرب مش عرف خلاص ما في داعي لها + +67 +00:06:46,570 --> 00:06:51,210 +يشغل نقدرش نعملها شغلها دي for each of the full or + +68 +00:06:51,210 --> 00:06:53,770 +for the following matrices لكل من المصفوفات + +69 +00:06:53,770 --> 00:06:58,570 +التالية وطاني نمرة A ونمرة B نمرة A سؤال في الكتاب + +70 +00:06:58,570 --> 00:07:02,970 +ونمرة B سؤال آخر أعتقد ستة وثمانية أو ستة وتسعة + +71 +00:07:02,970 --> 00:07:08,310 +الأول ستة والثاني تسعة أعتقد تمام؟ إذن بتدخل + +72 +00:07:08,310 --> 00:07:14,170 +المصفوفة إيه؟ المصفوفة فيها صفين وكم عمود يا + +73 +00:07:14,170 --> 00:07:20,850 +بنات؟ ثلاثة المصفوفة دي فيها ثلاثة صفوف وعمودين، + +74 +00:07:20,850 --> 00:07:27,210 +مظبوط؟ إذن عدد الأعمدة هنا يساوي عدد الصفوف هنا، + +75 +00:07:27,210 --> 00:07:33,490 +إذن هذا الضرب ممكن أن يحدث والنتج هو مصفوفة نظامها + +76 +00:07:33,490 --> 00:07:41,190 +2×2 بس صفين وعمدين كيف بدي أتم كتالتها؟ طلعي لي هنا + +77 +00:07:41,190 --> 00:07:48,040 +نمرة A بجي بقوله بكتب المصفوفة a في b زي ما هو قال + +78 +00:07:48,040 --> 00:07:54,140 +هنا a في b هذا الكلام بده يساوي a اللي هي اثنين واحد + +79 +00:07:54,140 --> 00:08:00,800 +صفر سالب واحد سالب اثنين اثنين في b اللي هي اثنين + +80 +00:08:00,800 --> 00:08:07,600 +أربعة واحد سالب واحد ثلاثة واحد الناتج بدي إياها تطلع + +81 +00:08:07,600 --> 00:08:15,600 +مصفوفة اثنين في اثنين كما زعمنا مظبوط يبقى أنا بقدر + +82 +00:08:15,600 --> 00:08:19,620 +أعرف قديش هذا الصفوف وهذا العملية قبل أن أقوم + +83 +00:08:19,620 --> 00:08:24,620 +بعملية الضرب كيف بروح في الهامش بقول الأولى اثنين + +84 +00:08:24,620 --> 00:08:30,420 +في ثلاثة والثانية ثلاثة في اثنين إذا ممكن أن تتم + +85 +00:08:30,420 --> 00:08:34,320 +العملية وبيظهر قديش اثنين في اثنين يبقى المصفوفة + +86 +00:08:34,320 --> 00:08:38,440 +النتيجة أنا عارف فيها صفين وعمودين قبل أن أبدأ + +87 +00:08:38,440 --> 00:08:44,390 +الآن عمليًا كيف ستتم عملية الضرب شوف يا منى بدي + +88 +00:08:44,390 --> 00:08:50,830 +بضرب الصف الأول في العمود الأول كل عنصر مع نظيره + +89 +00:08:50,830 --> 00:08:57,930 +وبجمع الناتج عنصر أول في المصفوفة الجديدة طلع هنا + +90 +00:08:57,930 --> 00:09:04,690 +اثنين في اثنين أربعة واحد في واحد واحد وأربعة خمسة + +91 +00:09:04,690 --> 00:09:12,190 +صفر يبقى العنصر الأول خمسة اللي عملت للعمود الأول + +92 +00:09:12,190 --> 00:09:18,230 +بدي أروح أعمل للعمود الثاني يبقى 2×4 ثمانية وسالب + +93 +00:09:18,230 --> 00:09:25,960 +واحد بدل سبعة وهنا صفر يبقى سبعة خلصنا الصف الأول + +94 +00:09:25,960 --> 00:09:32,760 +بيجي للصف الثاني يبقى باجي للصف الثاني في العمود + +95 +00:09:32,760 --> 00:09:38,340 +الأول كل عنصر مع نظيره هنا سالب اثنين وهنا سالب + +96 +00:09:38,340 --> 00:09:47,310 +اثنين سالب أربعة سالب أربعة وستة بيضل اثنين الآن + +97 +00:09:47,310 --> 00:09:52,430 +الصف الثاني في العمود الثالث سالب أربعة موجب + +98 +00:09:52,430 --> 00:09:58,650 +باثنين بيظل سالب اثنين سالب اثنين موجب باثنين + +99 +00:09:58,650 --> 00:10:05,270 +صفر تمام؟ أظن نفس الشيء اللي تعلمنا في الثانوية + +100 +00:10:05,930 --> 00:10:10,950 +بغيرنا شوية لكلمة عادي جدًا باجي العناصر الصف الأول + +101 +00:10:10,950 --> 00:10:14,230 +في العمود الأول بضرب كل عنصر في نظيره وبجمع بتطلع + +102 +00:10:14,230 --> 00:10:19,790 +العنصر الأول اللي هو خمسة نفس الصف العمود الثاني + +103 +00:10:19,790 --> 00:10:24,350 +بجيب للعنصر الثاني خلصت الصف الأول ضربته في كل + +104 +00:10:24,350 --> 00:10:28,580 +عناصر المصفوفة بعد ذلك بروح بالصف الثاني وبضربه في + +105 +00:10:28,580 --> 00:10:32,960 +كل عناصر وبضربه في العمود الأول وبيطلع ليه العنصر + +106 +00:10:32,960 --> 00:10:35,780 +الأول من الصف الثاني وبضربه في العمود الثاني و + +107 +00:10:35,780 --> 00:10:39,740 +بيطلعه للعنصر الثاني من الصف الثاني وبيكون خلصت + +108 +00:10:39,740 --> 00:10:44,340 +يبقى هي طلعت قديش نظامها اثنين في اثنين كما ازعمنا + +109 +00:10:44,340 --> 00:10:50,960 +احنا قبل قليل تمام؟ طيب بدي أجي الآن ل B في A + +110 +00:10:50,960 --> 00:10:59,060 +تطلع لي هنا بدي أجي لل B في A and في إيه؟ قديش نظام + +111 +00:10:59,060 --> 00:11:06,660 +ال B؟ ثلاثة في اثنين إذا هادي ثلاثة في اثنين قديش + +112 +00:11:06,660 --> 00:11:14,240 +نظام ال A؟ اثنين في ثلاثة اثنين في ثلاثة إذا يمكن + +113 +00:11:14,240 --> 00:11:21,490 +أن تتم عملية الضرب والناتج ثلاثة صفوف وثلاثة أعمدة، + +114 +00:11:21,490 --> 00:11:26,850 +مظبوط؟ يبقى ثلاثة صفوف وثلاثة أعمدة يبقى بدي أجي + +115 +00:11:26,850 --> 00:11:31,570 +أقوله هيك مشان ما تتلخبطوا يا بنات بروح بصفطهم جانب بعض + +116 +00:11:31,570 --> 00:11:36,590 +وبعد ذلك بقوم بعملية ضرب مش عن غيرهم يبقى بجي ل B + +117 +00:11:36,590 --> 00:11:43,530 +وبكتبها كما هي اثنين أربعة واحد سالب واحد ثلاثة + +118 +00:11:43,530 --> 00:11:56,060 +واحد بدي أجي ل A اثنين واحد صفر واحد اثنين واحد صفر سالب واحد سالب اثنين + +119 +00:11:56,060 --> 00:12:01,200 +اثنين بالشكل اللي عندنا هنا الناتج بدي يكون ثلاثة + +120 +00:12:01,200 --> 00:12:06,520 +في ثلاثة يبقى هذه المصفوفة اللي بعدها بنفس الطريقة + +121 +00:12:06,520 --> 00:12:12,040 +بدي أبدأ الصف الأول في العمود الأول يبقى اثنين في + +122 +00:12:12,040 --> 00:12:15,240 +اثنين أربعة أربعة في سالب واحد + +123 +00:12:18,720 --> 00:12:24,140 +الصف الأول في العمود الثاني اثنين وسالب ثمانية + +124 +00:12:24,140 --> 00:12:29,760 +بيصير سالب ستة الصف الأول في العمود الثالث صفر + +125 +00:12:29,760 --> 00:12:34,880 +وأربعة في اثنين بثمانية اللحظة الصف الأول مكوّن من + +126 +00:12:34,880 --> 00:12:39,400 +ثلاثة عناصر خلصت الصف الأول الآن بدي أجي للصف + +127 +00:12:39,400 --> 00:12:45,210 +الثاني وأضربه في جميع عناصر المصفوفة بالترتيب الصف + +128 +00:12:45,210 --> 00:12:52,890 +الثاني في العمود الأول يبقى اثنين وواحد ثلاثة يبقى + +129 +00:12:52,890 --> 00:12:57,110 +هي ثلاثة الصف الثاني في العمود الثاني هي واحد + +130 +00:12:57,110 --> 00:13:03,750 +واثنين كمان ثلاثة الصف الأول يبقى صفر وهنا سالب + +131 +00:13:03,750 --> 00:13:08,710 +باثنين الآن الصف الثالث في العمود الأول ثلاثة في + +132 +00:13:08,710 --> 00:13:16,100 +اثنين ستة وناقص واحد يظل خمسة الآن بالدالي للصف + +133 +00:13:16,100 --> 00:13:21,680 +الثالث في العمود الثاني ثلاثة وناقص اثنين بيضل + +134 +00:13:21,680 --> 00:13:28,040 +قديش واحد الصف الثالث في العمود الثالث صفر وهنا + +135 +00:13:28,040 --> 00:13:33,120 +اثنين بالشكل أنه زي ما أنتم شايفينه هذه طلعت ثلاثة في + +136 +00:13:33,120 --> 00:13:39,290 +ثلاثة زي ما احنا قلنا هنا قبل قليل إذن عملية الضرب + +137 +00:13:39,290 --> 00:13:45,890 +ممكن أن تتم خلصنا نمرة A بدي أجي لنمرة B من المثال + +138 +00:13:45,890 --> 00:13:52,410 +برضه بيمنعطيني مصفوفة الأولى هذه نظامها صف واحد + +139 +00:13:52,410 --> 00:14:01,810 +وثلاثة أعمدة هذه ثلاثة صفوف وقديش وعمودين عدد + +140 +00:14:01,810 --> 00:14:07,650 +الأعمدة يساوي عدد الصفوف إذا ممكن والنتج هو مصفوفة + +141 +00:14:07,650 --> 00:14:12,370 +واحد في اثنين يعني في الصف واحد وعمودين يعني بس + +142 +00:14:12,370 --> 00:14:16,030 +عنصرين فيها شايفين من الكتار اللي بيطلع بس عنصرين + +143 +00:14:16,030 --> 00:14:27,250 +كيف كان الثاني يبقى بدي أبدأ أخد هنا FB يساوي FB 2 3 -1 + +144 +00:14:27,250 --> 00:14:34,330 +FB 2 0 1 4 -2 1 + +145 +00:14:37,410 --> 00:14:42,450 +بدها يطلع عندي مصفوفة قولنا اللي هي واحد في اثنين + +146 +00:14:42,450 --> 00:14:52,270 +ما فيش غيرها ليش؟ لأن هذه واحد في ثلاثة وهذه ثلاثة + +147 +00:14:52,270 --> 00:14:57,170 +في اثنين إذا ثلاثة مع ثلاثة بيظل واحد واثنين صف + +148 +00:14:57,170 --> 00:15:03,610 +واحد وعمودين فقط لا غير تعالى نضرب الصف الأول طبعًا + +149 +00:15:03,610 --> 00:15:09,780 +ما فيش غيره في العمود الأول ها طلع الصف الأول في + +150 +00:15:09,780 --> 00:15:18,500 +العمود الأول يبقى 2 في 2 أربعة و3 7 و2 9 يبقى + +151 +00:15:18,500 --> 00:15:25,140 +العنصر الأول 9 ما فيش غيره الصف نفسه في العمود الثاني + +152 +00:15:25,140 --> 00:15:32,680 +يبقى صفر وهنا 12 وهنا ناقص واحد يبقى 11 ما فيش غير + +153 +00:15:32,680 --> 00:15:38,860 +هيك؟ زي ما أنتم شايفينها صف واحد وعمودين فقط هذا a في + +154 +00:15:38,860 --> 00:15:46,720 +b طب بتجي ل b في a تعالوا b في a لو جيت قلت ال b هي + +155 +00:15:46,720 --> 00:15:51,700 +عبارة عن ثلاثة في اثنين في الهعم مش هيك هي ثلاثة + +156 +00:15:51,700 --> 00:15:59,470 +في اثنين وجيت ل a اللي هي واحد في ثلاثة عدد + +157 +00:15:59,470 --> 00:16:05,610 +الأعمدة لا يساوي عدد الصفوف بالتالي لا يمكن أن + +158 +00:16:05,610 --> 00:16:18,070 +يحدث ذلك يبقى بالدالي and ال b في a does not exist + +159 +00:16:19,440 --> 00:16:29,440 +هذا الكلام مش ممكن نقوله ليش؟ because the + +160 +00:16:29,440 --> 00:16:34,340 +number of + +161 +00:16:34,340 --> 00:16:46,440 +columns in المصفوفة a عدد الأعمدة في المصفوفة a is + +162 +00:16:46,440 --> 00:16:48,680 +three and + +163 +00:16:51,910 --> 00:17:05,530 +the number of rows in B is عدد الصفوف في المصفوفة + +164 +00:17:05,530 --> 00:17:08,850 +بي + +165 +00:17:08,850 --> 00:17:15,410 +.. إيش احنا بدنا بي في إيه؟ لأ بدنا في بي، الأولى + +166 +00:17:15,410 --> 00:17:25,130 +عدد من بي في بي is three وهنا عدد الصفوف is one + +167 +00:17:25,130 --> 00:17:33,790 +الأولى عدد الأعمدة فيها اثنين والثانية واحد ودول + +168 +00:17:33,790 --> 00:17:39,650 +اثنين are not equal من هنا لا يمكن أن تتم عملية + +169 +00:17:39,650 --> 00:17:40,370 +الضرب + +170 +00:17:59,400 --> 00:18:09,360 +مثال اثنين example two write + +171 +00:18:09,360 --> 00:18:14,860 +the system write the system + +172 +00:18:16,500 --> 00:18:23,840 +كتبولنا ال system اللي هو اثنين X one زائد خمسة X + +173 +00:18:23,840 --> 00:18:33,000 +two بده يساوي سالب واحد وثلاثة X one ناقص اثنين X + +174 +00:18:33,000 --> 00:18:40,520 +two بده يساوي صفر و X one زائد + +201 +00:22:08,530 --> 00:22:15,350 +x بده يساوي بيه الـ a هي موجودة يبقى باجي بقوله الـ a + +202 +00:22:15,350 --> 00:22:21,310 +موجودة هذا الـ a في الـ x يبقى هذا الكلام بده يساوي + +203 +00:22:21,310 --> 00:22:30,530 +الـ a اللي هيبقى عناصرها سالب 2 1 3 ودي 3 0 1 في + +204 +00:22:30,530 --> 00:22:36,990 +مصفوفة هنا مين هي الله أعلم بدها تساوي 0 و 0 + +205 +00:22:38,870 --> 00:22:45,670 +المصفوفة هذه نظامها كم؟ اتنين في تلاتة كويس المصوفة + +206 +00:22:45,670 --> 00:22:51,930 +هذه نظامها اتنين في واحد صفين و عمود هذه مشان + +207 +00:22:51,930 --> 00:22:58,600 +تنضرب بدي يكون عندي هنا كم؟ تلاتة صفوف و عمود واحد + +208 +00:22:58,600 --> 00:23:03,800 +يبقى هذا يريد تلاتة صفوف و عمود واحد تلاتة صفوف + +209 +00:23:03,800 --> 00:23:09,300 +إذا أنا بادر أقول x واحد و x اتنين و x تلاتة + +210 +00:23:09,300 --> 00:23:12,720 +مظبوط إذا هو اللي يقول find the system of + +211 +00:23:12,720 --> 00:23:18,440 +equations هاتلي نظام المعادلة أو المعادلة المكونة + +212 +00:23:18,440 --> 00:23:24,720 +لنظام المنظر لهذه المعادلة إذا أنا حتى الآن كتبت + +213 +00:23:25,030 --> 00:23:29,330 +هذه المعادلة المصرفية كتبتها بشكل أعظم لهذا ال + +214 +00:23:29,330 --> 00:23:34,310 +system يبقى بدي أضرب الصف الأول في العمود الأول + +215 +00:23:34,310 --> 00:23:38,930 +بيعطيني المعادلة الأولى من هذا ال system يبقى + +216 +00:23:38,930 --> 00:23:42,370 +المعادلة الأولى الصف الأول في العمود الأول يبقى + +217 +00:23:42,370 --> 00:23:50,270 +ناقص اتنين x one زائد x two زائد تلاتة x three + +218 +00:23:50,270 --> 00:23:59,640 +بدون سوين المعادلة التانية تلاتة x وان زائد x + +219 +00:23:59,640 --> 00:24:00,860 +ثري زائد x ثري زائد x ثري زائد x ثري زائد + +220 +00:24:00,860 --> 00:24:01,040 +زائد x ثري زائد x ثري زائد x ثري زائد x + +221 +00:24:01,040 --> 00:24:01,740 +ثري زائد x ثري زائد x ثري زائد x ثري زائد + +222 +00:24:01,740 --> 00:24:02,580 +x ثري زائد x ثري زائد x ثري زائد x ثري + +223 +00:24:02,580 --> 00:24:05,280 +زائد x ثري زائد x ثري زائد x ثري زائد x + +224 +00:24:05,280 --> 00:24:13,100 +ثري زائد x ثري زائد x ثري زائد x ثري + +225 +00:24:19,640 --> 00:24:25,080 +الـ حل على الأقل الحل الصفري مش شغلتنا هذه المهم + +226 +00:24:25,080 --> 00:24:30,060 +احنا بدنا نعرف هالشغل هذا طيب بدنا نيجي لملاحظة ما + +227 +00:24:30,060 --> 00:24:36,420 +نكتب هذه الملاحظة ونحاول نستخدمها أو نعمم ما سبق + +228 +00:24:36,420 --> 00:24:46,580 +الحديث عنه يبقى remark in general على + +229 +00:24:46,580 --> 00:24:56,480 +وجه العموم the product product + +230 +00:24:56,480 --> 00:25:03,380 +of matrices of + +231 +00:25:03,380 --> 00:25:13,820 +matrices is not commutative is not يعني + +232 +00:25:13,820 --> 00:25:18,280 +عملية ضرب المصوفات ليست إبدالية + +233 +00:25:20,320 --> 00:25:27,560 +that is if الـ + +234 +00:25:27,560 --> 00:25:39,560 +A and الـ B are matrices such + +235 +00:25:39,560 --> 00:25:52,360 +that بحيث أن الـ A في الـ B and الـ B في الـ A are + +236 +00:25:52,360 --> 00:26:06,400 +both defined كلاهما معرف then it is not + +237 +00:26:06,400 --> 00:26:07,460 +necessarily + +238 +00:26:19,130 --> 00:26:28,790 +necessary that أن الـ A في الـ B بدي يساوي الـ B في الـ + +239 +00:26:28,790 --> 00:26:37,150 +A example نمرة + +240 +00:26:37,150 --> 00:26:56,740 +A show that بينيلي F الـ A تساوي-2 5 1 4 and B + +241 +00:26:56,740 --> 00:27:11,620 +تساوي اللي هو تلاتة اتنين ناقص تلاتة أربعة then الـ + +242 +00:27:11,620 --> 00:27:25,380 +A في B لا يساوي الـ B في الـ A Nimra B Show that if + +243 +00:27:25,380 --> 00:27:31,160 +الـ A تساوي واحد + +244 +00:27:31,160 --> 00:27:40,080 +اتنين سالب واحد Zero and الـ B تساوي سالب واحد + +245 +00:27:40,080 --> 00:27:46,560 +اتنين سالب واحد سالب اتنين then + +246 +00:27:48,780 --> 00:27:53,120 +الـ A في الـ B يساوي الـ B في الـ A + +247 +00:28:24,260 --> 00:28:28,440 +بنجي للـ remark اللي احنا كاتبينه هذا بقول in + +248 +00:28:28,440 --> 00:28:33,760 +general على وجه العموم the product of matrices is + +249 +00:28:33,760 --> 00:28:38,960 +not commutative عملية ضرب المصحفات ليست عملية + +250 +00:28:38,960 --> 00:28:43,400 +إبدالية that is لو كان الـ a و الـ e are matrices + +251 +00:28:43,400 --> 00:28:47,200 +بحيث أن الـ a و الـ a في b و الـ b في a are both + +252 +00:28:47,200 --> 00:28:50,580 +defined لو كانت عملية الضرب من اليمين و من اليسار معرفة then it is not necessary ليس بالضرورة أن + +253 +00:28:50,580 --> 00:28:56,470 +الـ A في الـ B بدوا يسووا مين، B في الـ A يعني عملية + +254 +00:28:56,470 --> 00:29:00,170 +ضرب المصرفات ليست عملية .. لما أقول in general يا + +255 +00:29:00,170 --> 00:29:04,110 +بنات يعني على وجه العموم يعني قد شوذ حالة أو حالتين + +256 +00:29:04,110 --> 00:29:09,030 +أو تلاتة عن مين عن هذا النظام لكن in general بقول + +257 +00:29:09,030 --> 00:29:13,000 +غير ما إن طلعت مرة و الله مرتين و الله تلاتة يحدث + +258 +00:29:13,000 --> 00:29:17,780 +تسوي هذا معناه إنه مش دائما هو بيحدث تساوي لكن بقدر + +259 +00:29:17,780 --> 00:29:23,140 +الله طلعت مرتين أو مرة أو تلاتة الآن سأعطيك مثال + +260 +00:29:28,390 --> 00:29:32,790 +أبيّن لك أن ضرب المصوفات ليست commutative وضرب + +261 +00:29:32,790 --> 00:29:35,790 +الـ اكتنترون واطلعهم commutative يبقى يعطينا النتج + +262 +00:29:35,790 --> 00:29:41,330 +في كلامنا وبالتالي عملية التساوي غير صحيحة بيقول + +263 +00:29:41,330 --> 00:29:46,290 +مثال show that أنه لو كانت المصوفة A بالشكل اللي + +264 +00:29:46,290 --> 00:29:51,810 +عندنا هو B يبقى الـ A في B لا يساوي الـ B في A إذا + +265 +00:29:51,810 --> 00:29:55,750 +أنا بروح أخد الـ A في الـ B solution + +266 +00:29:58,690 --> 00:30:03,490 +وبدأ أخذ الجزء الأول إن هو المرأة بدأ أخذ الـ a في + +267 +00:30:03,490 --> 00:30:09,710 +الـ b بدأ تساوي اللي هو سالب اتنين خمسة واحد أربع + +268 +00:30:09,710 --> 00:30:15,130 +في b اللي هو تلاتة اتنين سالب تلاتة أربع يبقى + +269 +00:30:15,130 --> 00:30:19,430 +المصفوفة الناتج كالتالي طبعا اتنين في اتنين وهذا + +270 +00:30:19,430 --> 00:30:22,410 +اتنين في اتنين يبقى الناتج اتنين في اتنين كذلك + +271 +00:30:22,410 --> 00:30:27,890 +الصف الأول في العمود الأول يبقى ناقص ستة وناقص + +272 +00:30:27,890 --> 00:30:33,200 +خمستاشر بناقص واحد وعشرين يبقى هاي ناقص واحد وعشرين + +273 +00:30:33,200 --> 00:30:38,640 +الصف الأول في العمودي الثاني يبقى ناقص أربعة وعندك + +274 +00:30:38,640 --> 00:30:45,200 +هنا عشرين بيظل قداش ستة عشر الصف الثاني في العمودي + +275 +00:30:45,200 --> 00:30:51,720 +الأول تلاتة و هنا ناقص اتناشر بيظل قداش ناقص تسعة + +276 +00:30:51,720 --> 00:30:56,480 +الصف الثاني في العمودي التاني يبقى اتنين وستاشر + +277 +00:30:56,480 --> 00:31:03,400 +بعدين امينتمنتاشر يبقى ثمانية عشر بالشكل اللي عندنا + +278 +00:31:03,400 --> 00:31:12,700 +طيب بدنا نيجي B في A and الـ B في الـ A بده يساوي هي + +279 +00:31:12,700 --> 00:31:19,580 +تلاتة اتنين ناقص تلاتة أربعة في سالب اتنين خمسة + +280 +00:31:19,580 --> 00:31:25,290 +واحد أربعة بدها تساوي طبعا هيعطيني كمان مصفوفة نظام + +281 +00:31:25,290 --> 00:31:29,370 +اتنين في اتنين يبقى الصف الأول في العمود الأول + +282 +00:31:29,370 --> 00:31:35,970 +سالب ستة وموجة باتنين يظل سالب أربع اللحظة اختلف + +283 +00:31:35,970 --> 00:31:40,030 +من البداية من أول عنصر قبل ما تكمل يبقى تساوي غير + +284 +00:31:40,030 --> 00:31:46,850 +حاصل طيب نكمل يبقى تلاتة في خمسة بخمستاشر وثمانية + +285 +00:31:46,850 --> 00:31:54,050 +تلاتة وعشرين الآن الصف الثاني في العمود الأول ستة و + +286 +00:31:54,050 --> 00:31:59,570 +أربعة عشر الصف الثاني في العمود الثاني سالب + +287 +00:31:59,570 --> 00:32:05,470 +خمستاشر وعندك ستاشر بيبقى القداش واحد يبقى من + +288 +00:32:05,470 --> 00:32:12,810 +الاتنين هدول بقدر أستنتج إن الـ A B لا يساوي الـ B + +289 +00:32:12,810 --> 00:32:13,570 +في الـ A + +290 +00:32:20,340 --> 00:32:28,320 +طيب بدي أخد الـ a في الـ b ويساوي يبقى واحد اتنين + +291 +00:32:28,320 --> 00:32:34,540 +سالب واحد زيرو واحد اتنين سالب واحد زيرو في b اللي + +292 +00:32:34,540 --> 00:32:39,820 +هو من سالب واحد اتنين سالب واحد سالب اتنين سالب واحد + +293 +00:32:39,820 --> 00:32:45,840 +اتنين سالب واحد سالب اتنين ويساوي الصف الأول في + +294 +00:32:45,840 --> 00:32:50,640 +العمود الأول يبقى سالب واحد وسالب اتنين في الجدار + +295 +00:32:50,640 --> 00:32:55,280 +بسالب تلاتة الصف الأول في العمود التاني اتنين + +296 +00:32:55,280 --> 00:33:00,840 +وسالب أربعة بسالب اتنين الصف الثاني في العمود + +297 +00:33:00,840 --> 00:33:06,520 +الأول بواحد الصف الثاني في العمود التاني بسالب + +298 +00:33:06,520 --> 00:33:12,970 +اتنين الآن بداجي للـ B في الـ A الـ B في الـ A يبقى + +299 +00:33:12,970 --> 00:33:17,890 +سالب واحد اتنين سالب واحد سالب اتنين في واحد اتنين + +300 +00:33:17,890 --> 00:33:23,250 +سالب واحد Zero ويساوي الصف الأول في العمود الأول + +301 +00:33:23,250 --> 00:33:29,250 +يبقى سالب واحد وسالب اتنين بسالب تلاتة الصف الأول + +302 +00:33:29,250 --> 00:33:34,510 +في العمود التاني سالب اتنين وذاك بـ Zero الصف + +303 +00:33:34,510 --> 00:33:40,520 +الثاني في العمود الأول يبقى هاي عندي الـ وامين بسالب + +304 +00:33:40,520 --> 00:33:47,480 +واحد بسالب واحد وموجة باتنين يبقى بواحد الصف + +305 +00:33:47,480 --> 00:33:52,180 +الثاني في العمود الثاني بسالب اتنين والآخر بزيرو + +306 +00:33:52,340 --> 00:33:57,380 +أطلع النتيجة طلع الـ مصفوفتين بيساووا بعض يبقى باجي + +307 +00:33:57,380 --> 00:34:03,300 +بقول الساعة الـ A في الـ B بده يساوي الـ B في الـ A + +308 +00:34:03,300 --> 00:34:07,960 +يعني يا بنات قد يحدث التساوي وقد لا يحدث لكن في + +309 +00:34:07,960 --> 00:34:14,490 +الغالبلن يحدث هذا التساوي يبقى in general على وجه + +310 +00:34:14,490 --> 00:34:20,130 +العموم عملية ضرب المصوفات ليست عملية إبدالية بمعنى + +311 +00:34:20,130 --> 00:34:25,450 +أن A في B لا يساوي الـ B في A الآن زي ما أخذنا + +312 +00:34:25,450 --> 00:34:30,390 +نظرية على عملية جمع المصوفات بناخد نظرية على عملية + +313 +00:34:30,390 --> 00:34:35,890 +ضرب المصوفات النظرية بتقول ما يأتي theorem + +314 +00:34:43,300 --> 00:34:58,080 +بيقول if c is a number كان هذا عدد حقيقي and if الـ + +315 +00:34:58,080 --> 00:35:11,140 +a will be and c and capital C والله if a و b و c + +316 +00:35:13,350 --> 00:35:22,350 +and D are matrices + +317 +00:35:22,350 --> 00:35:29,050 +مصفوفات such that + +318 +00:35:29,050 --> 00:35:33,550 +the indicated + +319 +00:35:33,550 --> 00:35:37,130 +sums + +320 +00:35:37,130 --> 00:35:41,970 +and products + +321 +00:35:43,980 --> 00:35:54,760 +عملية الجمع هو الضرب are defined then النقطة + +322 +00:35:54,760 --> 00:36:06,880 +الأولى C في A في B بده يساوي A في C B يساوي + +323 +00:36:06,880 --> 00:36:10,020 +C في B + +324 +00:36:14,240 --> 00:36:31,380 +النقطة الثانية النقطة + +325 +00:36:31,380 --> 00:36:40,240 +التالتة اللي هو B زائد C كلها في D تساوي + +326 +00:36:42,440 --> 00:36:52,360 +B D زائد C في D زائد + +327 +00:36:52,360 --> 00:37:02,700 +C في D النقطة الرابعة الـ A في الـ B في الـ D يساوي + +328 +00:37:02,700 --> 00:37:06,780 +الـ A في الـ B في الـ D + +329 +00:37:09,610 --> 00:37:14,970 +طيب نيجي لنظرية هذه بيقول if c is a number لو كان + +330 +00:37:14,970 --> 00:37:19,390 +c عدد حقيقي وكان الـ a و الـ b و الـ c و d عبارة عن + +331 +00:37:19,390 --> 00:37:24,890 +مصفوفات بحيث أن indicated sums and products عاملين + +332 +00:37:24,890 --> 00:37:30,030 +الجمع والضرب الموضحة are defined يبقى كل عملية + +333 +00:37:30,030 --> 00:37:35,680 +الضرب وعملية الجمع هنا معرفة يبقى them لو ضربت + +334 +00:37:35,680 --> 00:37:40,020 +constant في a تطلع مصفوفة جديدة لأن الـ c بدربه في + +335 +00:37:40,020 --> 00:37:46,180 +جميع عناصر a وضربت النتج في المصوفة b تماما كما لو + +336 +00:37:46,180 --> 00:37:50,020 +ضربت الـ constant في b واللي نتج ضربت في main + +337 +00:37:50,020 --> 00:37:54,720 +المصفوفة a أو ضربت المصفوفتين a و b في بعض واللي + +338 +00:37:54,720 --> 00:37:59,800 +نتج ضربته في main في c الثلاث قيم are the same يبقى + +339 +00:37:59,800 --> 00:38:02,880 +بتفرقش عندي لأني بضرب constant في مصفوفة مش + +340 +00:38:02,880 --> 00:38:06,600 +مصفوفتين في بعض يبقى constant مصفوفة تضرب يمين أو + +341 +00:38:06,600 --> 00:38:11,160 +تضرب شمال كنا بأثرش عنها سابقا أخذناها طيب النقطة + +342 +00:38:11,160 --> 00:38:15,880 +الثانية بدي أضرب a في b زائد c يبقى هذي كلها + +343 +00:38:15,880 --> 00:38:21,860 +مصفوفات يبقى كأنه بدي وزع عملية الضرب على عملية من + +344 +00:38:21,860 --> 00:38:28,040 +الجمع يبقى يساوي a في b زائد a في c لحظة الضرب من + +345 +00:38:28,040 --> 00:38:35,620 +وين؟ من جهتي الشمال يبقى a في b ثم a في c الترتيب + +346 +00:38:35,620 --> 00:38:40,440 +ضروري جدا مش هتقولي لي a في b زائد c في a لأ غلط + +347 +00:38:40,440 --> 00:38:44,300 +يبقى ضربتي من جهتي الشمال يبقى ضلك مش هتضرب من + +348 +00:38:44,300 --> 00:38:49,940 +جهتي الشمال ضربتي من جهتي اليمين b زائد c في d + +349 +00:38:49,940 --> 00:38:56,820 +يبقى b في d زائد c في d يبقى هدول اتنين اللي هم الـ + +350 +00:38:56,820 --> 00:39:02,700 +distributive law عملية التوزيع وهنا الخاصية الرابعة + +351 +00:39:02,700 --> 00:39:10,160 +عملية الدمج A في B في C يسوى A في B في D يسوى A في + +352 +00:39:10,160 --> 00:39:16,080 +B في D يعني ايه؟ يعني لو ضربت B في D أولا نتجة + +353 +00:39:16,080 --> 00:39:20,920 +مصفوفة ضربتها من جهة الشمال في A تماما كما لو ضربت + +354 +00:39:20,920 --> 00:39:24,660 +A في B في بعض والنتجة ضربتها في D وهذه الخاصية + +355 +00:39:24,660 --> 00:39:30,920 +بجينا نسميها خاصية الدمج الـ associative law اللي هو + +356 +00:39:30,920 --> 00:39:35,100 +قانون الدمج اللي جابله الـ distributive law اللي هو + +357 +00:39:35,100 --> 00:39:40,480 +قانون التوزيع تمام؟ بقت عندنا في هذا section + +358 +00:39:40,480 --> 00:39:46,140 +ملاحظة أخرى remark يبقى + +359 +00:39:46,140 --> 00:39:57,630 +remark بتقول ما تقفل AF الـ a is an n by n matrix + +360 +00:39:57,630 --> 00:40:06,930 +يبقى لو كانت مصفوفة مربعة is an m في n matrix m في + +361 +00:40:06,930 --> 00:40:24,360 +n matrix and الـ b and الـ b is aninvp matrix مصفوفة + +362 +00:40:24,360 --> 00:40:31,680 +نظام invp then is + +363 +00:40:31,680 --> 00:40:49,200 +written as is written as call vectors as followas + +364 +00:40:49,200 --> 00:40:56,900 +follow كالتالي بي + +365 +00:40:56,900 --> 00:41:11,600 +بدها تساوي مثلا بي ون بي تو بي بي بي and + +366 +00:41:11,600 --> 00:41:24,280 +hence ومن ثم the product a + +367 +00:41:24,280 --> 00:41:43,880 +في b is اللي هو a b مدرساوي اللي هو a b1 a b2 a bp + +368 +00:41:43,880 --> 00:41:50,640 +الشكل عن هذا عوادة بتدعيها الرمز main والرمز star + +369 +00:41:50,640 --> 00:41:56,860 +example + +370 +00:41:56,860 --> 00:42:02,360 +if + +371 +00:42:02,360 --> 00:42:12,290 +الـ a تساوي اتنين واحد سالب واحد Zero اتنين تلاتة + +372 +00:42:12,290 --> 00:42:26,050 +واحد نقص اتنين Zero and الـ B تساوي واحد واحد سالب + +373 +00:42:26,050 --> 00:42:33,810 +واحد تلاتة اتنين واحد right then + +374 +00:42:38,59 + +401 +00:45:31,570 --> 00:45:37,030 +وسالب واحد وسالب اثنين اثنين وسالب اثنين مع + +402 +00:45:37,030 --> 00:45:43,220 +السلمة بيطلع كده؟ سالب واحد خلصنا منه الان بالدالي + +403 +00:45:43,220 --> 00:45:49,700 +للصف الأول في العمود نفسه يبقى صفر سالب اثنين + +404 +00:45:49,700 --> 00:45:54,620 +وزائد ستة بضرب قداش أربعة بالشكل اللي عندنا هذا + +405 +00:45:54,620 --> 00:45:58,680 +بكتبش في الصف لإن ماعنديش بكتب بالشكل اللي عندنا + +406 +00:45:58,680 --> 00:46:05,010 +هذا يبقى هنا واحد وسالب اثنين يعني بصير اثنين + +407 +00:46:05,010 --> 00:46:10,850 +ثلاثة وصفر يبقى هنا يا شباب ثلاثة لحظة المصفوفة + +408 +00:46:10,850 --> 00:46:14,810 +ثلاثة في ثلاثة وهذه ثلاثة في واحد بيصير ثلاثة في + +409 +00:46:14,810 --> 00:46:19,570 +واحد هذه ثلاثة صفوف وواحد خلصنا هنا بدايه لهذه + +410 +00:46:19,570 --> 00:46:26,150 +بنفس الطريقة اثنين وثلاثة خمسة وسالب واحد يبقى + +411 +00:46:26,150 --> 00:46:36,230 +أربعة اللي بعده صفر وستة وثلاثة يبقى تسعة اللي بعده + +412 +00:46:36,230 --> 00:46:43,430 +واحد وسالب ستة يبقى سالب خمسة وصفر يبقى سالب + +413 +00:46:43,430 --> 00:46:49,640 +خمسة يبقى هذه المصفوفة الناتجة من حاصل الضرب وصلنا ل + +414 +00:46:49,640 --> 00:46:57,440 +exercises 2-5 يبقى exercises 2-5 المسائل التالية + +415 +00:46:57,440 --> 00:47:09,330 +اللي هم اثنين ثلاثة خمسة سبعة تسعة عشرة أحد عشر اثنا عشر ستة عشر سبعة عشر تسعة عشر يعطيكم + +416 +00:47:09,330 --> 00:47:17,530 +أحد عشر إثني عشر ستة عشر سبعة عشر تسعة عشر يعطيكم + +417 +00:47:17,530 --> 00:47:17,850 +العجب diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/W-gk0MowpAY_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/W-gk0MowpAY_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..92747f881be61d96be3e05d2213f153375ee13c1 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/W-gk0MowpAY_raw.srt @@ -0,0 +1,1672 @@ +1 +00:00:20,700 --> 00:00:25,610 +بسم الله الرحمن الرحيمأنت هنا في section 2-4 من + +2 +00:00:25,610 --> 00:00:31,490 +ضرب المصوفة مقدار ثامت أو جامع مصوفتين أو ال raw + +3 +00:00:31,490 --> 00:00:35,570 +vectors و ال cone vectors ننتقل هنا في section 2-5 + +4 +00:00:35,570 --> 00:00:40,270 +ل matrix multiplication يعني عملية ضرب المصوفات + +5 +00:00:40,270 --> 00:00:44,210 +يعني بدنا نضرب مصوفتين في بعض ال section السابق + +6 +00:00:44,210 --> 00:00:48,010 +كان ضرب كونستان في مصوفة لأ هنا بدنا نضرب two + +7 +00:00:48,010 --> 00:00:53,950 +matrices مع بعضهم البعضبقول لو كان عندنا ال system + +8 +00:00:53,950 --> 00:00:57,890 +of linear equation بالشكل اللي عندنا هذا كويس هذا + +9 +00:00:57,890 --> 00:01:02,810 +ال system بدي أحاول أصيغه بصياغة أخرى باستخدام + +10 +00:01:02,810 --> 00:01:07,870 +عملية ضرب المصفوفات إذا بدي أجمع الثوابط الإيهات + +11 +00:01:07,870 --> 00:01:13,850 +كلهم في مصفوفة والمجاهيل ال X في مصفوفة والثوابط + +12 +00:01:13,850 --> 00:01:17,770 +في مصفوفة زي ما انتوا شايفين الشكل اللي عندنا هذا + +13 +00:01:18,060 --> 00:01:22,200 +يبقى هذا ال system قدرت اكتب على شكل حاصل ضرب + +14 +00:01:22,200 --> 00:01:27,560 +مصففتين بده يساوي مان بده يساوي مصففة المصففة هذا + +15 +00:01:27,560 --> 00:01:32,500 +ايش كنا نسميها بنات؟مصوفة المعاملات الـ + +16 +00:01:32,500 --> 00:01:38,440 +coefficient matrix هذه المصوفة مصوفة المجاهيل الـ + +17 +00:01:38,440 --> 00:01:43,620 +unknown matrix هذه مصوفة الثوابت الـ constant + +18 +00:01:43,620 --> 00:01:47,920 +matrix يبقى هذه مصوفة الثوابت هذه مصوفة المجاهيل + +19 +00:01:47,920 --> 00:01:54,420 +هذه مصوفة المعاملات لو ضربنا هدول في بعض بيطلع + +20 +00:01:54,420 --> 00:01:58,020 +عندنا من؟ بيطلع عندنا اللي فوق كيف عملية الضرب؟ + +21 +00:01:58,040 --> 00:02:09,500 +بدرب الصف الأول في العمودي الأول A11x1 A12x2 A13x3 + +22 +00:02:09,500 --> 00:02:13,060 +A14x4 A1nxn + +23 +00:02:18,190 --> 00:02:23,950 +وهكذا الان الصف الثاني في نفس العمود اللى عندنا + +24 +00:02:23,950 --> 00:02:28,790 +هذا بطلع المعادلة رقم اتنين الصف التالت في نفس + +25 +00:02:28,790 --> 00:02:33,150 +العمود بطلع المعادلة اتنين الصف رقم M في العمود + +26 +00:02:33,150 --> 00:02:39,170 +بيعطينا المعادلة رقم M اللى عندنا طيب هذا بدي يخلي + +27 +00:02:39,170 --> 00:02:47,130 +عندنا شرط متى يمكن ضرب مصوفتين تماميمكن ضربها تاني + +28 +00:02:47,130 --> 00:02:53,370 +المصفوف تاني إذا كان عدد أعمدة المصفوف الأولى يسوى + +29 +00:02:53,370 --> 00:02:59,290 +عدد صفوف المصفوف الثاني اطلع هدول الأعمدة كم واحد؟ + +30 +00:02:59,290 --> 00:03:05,470 +واحد اتنين تلاتة أربعة ان عدد صفوف التانية واحد + +31 +00:03:05,470 --> 00:03:11,730 +اتنين تلاتة أربعة ان يبقى تساوى عدد أعمدة الأولى + +32 +00:03:11,730 --> 00:03:18,180 +مع عدد صفوفالثانية إذا يمكن أن تتم عملية الضرب + +33 +00:03:18,180 --> 00:03:25,660 +والناتج هو مصفوفة عبارة عن عدد صفوف المصفوفة + +34 +00:03:25,660 --> 00:03:33,050 +الأولى وأعمدة من المصفوفة الثانية وهكذاهذا الكلام + +35 +00:03:33,050 --> 00:03:36,130 +اللي أنا بقوله بدنا نحطه في صيغة الـ definition + +36 +00:03:36,130 --> 00:03:40,590 +التالي اللي موجود عندنا ال definition بيقول ما + +37 +00:03:40,590 --> 00:03:48,290 +ياتي F ال A is an اللي هو مين M في N matrix يبقى + +38 +00:03:48,290 --> 00:03:54,030 +مصفوفة ال size تبعها M في N عدد الصفوف M عدد + +39 +00:03:54,030 --> 00:04:01,250 +الأعمدة Nو B كانت عبارة عن matrix ل N في K يبقى + +40 +00:04:01,250 --> 00:04:06,170 +عدد الصفوف يساوي N وعدد الأعمدة يساوي K يبقى عدد + +41 +00:04:06,170 --> 00:04:11,410 +الصفوف هنا يساوي عدد الأعمدة هنا بالضبط تماما إذا + +42 +00:04:11,410 --> 00:04:17,150 +يمكن أن تتم عملية الضربthen we define the + +43 +00:04:17,150 --> 00:04:20,730 +multiplication matrix المصفوفة الناتجة من عملية + +44 +00:04:20,730 --> 00:04:26,390 +ضرب بدي اعطيها الرمز capital C وهي تساوي A في B + +45 +00:04:26,390 --> 00:04:33,070 +with size M في K يعني يا بنات المصفوفة الأولى M في + +46 +00:04:33,070 --> 00:04:42,400 +N والتانية N في K البشطة بهذه وهذه بيظل M في Kيبقى + +47 +00:04:42,400 --> 00:04:48,420 +المصحوفة الناتجة بد يكون فيها M من الصفوف و K من + +48 +00:04:48,420 --> 00:04:53,300 +الأعمل واضح كلامنا كم؟ مرة تانية بقول يبقى أنا عند + +49 +00:04:53,300 --> 00:04:58,760 +المصحوفة الأولى نظامها M في Nالمصوفة التانية + +50 +00:04:58,760 --> 00:05:04,080 +نظامها N في K عدد الأعمدة في الأولى يسوى عدد + +51 +00:05:04,080 --> 00:05:09,380 +الصفوف في الثانية إذا يمكن أن نقوم بعملية الضغط طب + +52 +00:05:09,380 --> 00:05:14,560 +ضربنا شو شكل المصوفة الناتجة شكلها ومصوفها فيها M + +53 +00:05:14,560 --> 00:05:20,500 +من الصفوف وK من الأعمدة هذا يجعلني أطرح السؤال + +54 +00:05:20,500 --> 00:05:28,850 +التالي أنا هنا ضربت A في B هل هذه هي B في A؟إتنين + +55 +00:05:28,850 --> 00:05:33,350 +هل يمكن أن تتم عملية الـ B في A؟ بقول والله ماهنا + +56 +00:05:33,350 --> 00:05:38,810 +عارفين إذا لو جيت ال B في A يبقى بدي أكتب ال B في + +57 +00:05:38,810 --> 00:05:46,910 +الأول ال B اللي هي N في K الآن A ل M في N يبقى M + +58 +00:05:46,910 --> 00:05:53,110 +في N عدد الأعمدة هنا لا يسوى عدد الصفوف إذا لا + +59 +00:05:53,110 --> 00:05:58,790 +يمكن أن تتم عملية الضرب هذهإذا بناء أن علي بقدر + +60 +00:05:58,790 --> 00:06:05,450 +استنتج أن ال A في ال B ليه تسوى B في A؟ يبقى عملية + +61 +00:06:05,450 --> 00:06:10,530 +ضرب المصوفات ليست عملية إبدالية، بعكس الجامعة + +62 +00:06:11,180 --> 00:06:16,000 +الجامعة المصوفة عملية إبدالية لكن الضرب عملية ليست + +63 +00:06:16,000 --> 00:06:20,440 +إبدالية يبقى ضرب الابتكاشن matrix is not + +64 +00:06:20,440 --> 00:06:26,280 +commutative ليست عملية إبدالية تعالوا نشوف هذا + +65 +00:06:26,280 --> 00:06:29,960 +الكلام على أرض الواقع بأمثلة مختلفة + +66 +00:06:41,170 --> 00:06:46,570 +يعني إذا معرف بدك تضرب مش معرف خلاص مافيش داعي لها + +67 +00:06:46,570 --> 00:06:51,210 +يشغل نقدرش نعملها شغلها دي for each of the full or + +68 +00:06:51,210 --> 00:06:53,770 +for the following matrices لكل من المصفوفات + +69 +00:06:53,770 --> 00:06:58,570 +التالية وطاني نمرة A ونمرة B نمرة A سؤال في الكتاب + +70 +00:06:58,570 --> 00:07:02,970 +ونمرة B سؤال أخر أعتقد ستة و تمانية أو ستة وتسعة + +71 +00:07:02,970 --> 00:07:08,310 +الأول ستة والتاني تسعة أعتقد تمام؟إذاً بتدجل + +72 +00:07:08,310 --> 00:07:14,170 +المصحوفة إيه؟ المصحوفة فيها صفين و كم عمود يا + +73 +00:07:14,170 --> 00:07:20,850 +بنات؟ تلاتة المصحوفة دي فيها تلت صفوف و عمودين، + +74 +00:07:20,850 --> 00:07:27,210 +مظبوط؟إذاً عدد الأعمدة هنا يسوى عدد الصفوف هنا، + +75 +00:07:27,210 --> 00:07:33,490 +إذاً هذا الضرب ممكن أن يحدث والنتج هو مصوفة نظامها + +76 +00:07:33,490 --> 00:07:41,190 +2×2 بس صفين وعمدين كيف بدي تم كتالة؟ طلعي لي هنا + +77 +00:07:41,190 --> 00:07:48,040 +نمرة Aبجي بقوله بكتب المصفوفة a في b زي ما هو قال + +78 +00:07:48,040 --> 00:07:54,140 +هنا a في b هذا الكلام بده يساوي a الهي اتنين واحد + +79 +00:07:54,140 --> 00:08:00,800 +زيرو سالب واحد سالبي اتنين اتنين في b الهي اتنين + +80 +00:08:00,800 --> 00:08:07,600 +اربع واحد سالب واحد تلاتة واحد النتج بديها تطلع + +81 +00:08:07,600 --> 00:08:15,600 +مصفوفة اتنين في اتنين كما زعمنامظبوطيبقى انا بقدر + +82 +00:08:15,600 --> 00:08:19,620 +اعرف جديش هذا الصفوف و هذا العملية قبل ان اقوم + +83 +00:08:19,620 --> 00:08:24,620 +بعملية الضرب كيف بروح في الهامش بقول الاولة اتنين + +84 +00:08:24,620 --> 00:08:30,420 +في تلاتة و التانية تلاتة في اتنين اذا ممكن ان تتم + +85 +00:08:30,420 --> 00:08:34,320 +العملية و بظهر جديش اتنين في اتنين يبقى المصوفة + +86 +00:08:34,320 --> 00:08:38,440 +النتيجة انا عارف فيها صفين و عمودين قبل ان ابدأ + +87 +00:08:38,440 --> 00:08:44,390 +الان عمليا كيف ستتم عملية الضرب شوف يا منامبدي + +88 +00:08:44,390 --> 00:08:50,830 +بضرب الصف الأول في العمود الأول كل عنصر مع نظيره + +89 +00:08:50,830 --> 00:08:57,930 +وبجمع الناتج عنصر أول في المصفوفة الجديدة طلع هنا + +90 +00:08:57,930 --> 00:09:04,690 +اتنين في اتنين اربعة واحد في واحد واحد واربعة خمسة + +91 +00:09:04,690 --> 00:09:12,190 +zero يبقى العنصر الأول خمسةاللي عملت للعمودي الأول + +92 +00:09:12,190 --> 00:09:18,230 +بدروح أعمل للعمودي التاني يبقى 2×4 تمانية و سالب + +93 +00:09:18,230 --> 00:09:25,960 +واحد بدل سبعة و هنا zero يبقى سبعةخلصنا الصف الأول + +94 +00:09:25,960 --> 00:09:32,760 +بيجي للصف الثاني يبقى باجي للصف الثاني في العمود + +95 +00:09:32,760 --> 00:09:38,340 +الأول كل عنصر مع نظيره هنا سالب اتنين و هنا سالب + +96 +00:09:38,340 --> 00:09:47,310 +اتنين سالب اربعة سالب اربعة و ستة بيضل اتنينالان + +97 +00:09:47,310 --> 00:09:52,430 +الصف الثاني في العمود التالت سالب أربعة أموجة + +98 +00:09:52,430 --> 00:09:58,650 +باتنين بيظل سالب اتنين سالب اتنين أموجة باتنين + +99 +00:09:58,650 --> 00:10:05,270 +Zero تمام؟ أظن نفس الشي اللي اتعلمنا في الثانوية + +100 +00:10:05,930 --> 00:10:10,950 +بغيرنا شوية لكلمة عادي جدا باجي العناصر الصف الأول + +101 +00:10:10,950 --> 00:10:14,230 +في العمود الأول بضرب كل عنصر في نظيره وبجمع بتطلع + +102 +00:10:14,230 --> 00:10:19,790 +العنصر الأول اللي هو خمسة نفس الصف العمود الثاني + +103 +00:10:19,790 --> 00:10:24,350 +بجيب للعنصر التاني خلصت الصف الأول ضربته في كل + +104 +00:10:24,350 --> 00:10:28,580 +عناصر المصوفةبعد ذلك بروح بالصف الثاني و بضربه في + +105 +00:10:28,580 --> 00:10:32,960 +كل عناصر و بضربه في العمود الأول و بطلع ليه العنصر + +106 +00:10:32,960 --> 00:10:35,780 +الأول من الصف الثاني و بضربه في العمود الثاني و + +107 +00:10:35,780 --> 00:10:39,740 +بطلعه للعنصر الثاني من الصف الثاني و بكون خلصت + +108 +00:10:39,740 --> 00:10:44,340 +يبقى هي طلعت جداش نظامها اتنين في اتنين كما ازعمنا + +109 +00:10:44,340 --> 00:10:50,960 +احنا قبل قليل تمام؟ طيب بدي اجي الان ل B في A + +110 +00:10:50,960 --> 00:10:59,060 +تطلعيلي هنا بدي اجي لل B في Aand فى ايه؟ قداش نظام + +111 +00:10:59,060 --> 00:11:06,660 +ال B؟ تلاتة فى اتنين اذا هادي تلاتة فى اتنين قداش + +112 +00:11:06,660 --> 00:11:14,240 +نظام ال A؟ اتنين فى تلاتة اتنين فى تلاتة اذا يمكن + +113 +00:11:14,240 --> 00:11:21,490 +ان تتم عملية الضرب والناتج تلات صفوفوثلاثة أعمدة، + +114 +00:11:21,490 --> 00:11:26,850 +مظبوط؟ يبقى ثلاثة صفوف وثلاثة أعمدة يبقى بدي أجي + +115 +00:11:26,850 --> 00:11:31,570 +أقوله هيك مشان ماتوش يا بنات بروح بصفطهم جانب بعض + +116 +00:11:31,570 --> 00:11:36,590 +و بعد ذلك بقوم بعملية ضرب مش عن غيرهم يبقى بجي ل B + +117 +00:11:36,590 --> 00:11:43,530 +و بكتبها كما هي اتنين اربعة واحد سالب واحد تلاتة + +118 +00:11:43,530 --> 00:11:56,060 +واحد بدي أجي ل A2 1 0 1 2 1 0 سالب واحد سالب اتنين + +119 +00:11:56,060 --> 00:12:01,200 +اتنين بالشكل اللي عندنا هنا النتج بدي يكون تلاتة + +120 +00:12:01,200 --> 00:12:06,520 +في تلاتة يبقى هذه المصوفة اللي بعدها بنفس الطريقة + +121 +00:12:06,520 --> 00:12:12,040 +بدي ابدأ الصف الأول في العمود الأول يبقى اتنين في + +122 +00:12:12,040 --> 00:12:15,240 +اتنين اربعة اربعة في سالب واحد + +123 +00:12:18,720 --> 00:12:24,140 +الصف الأول في العمود الثاني اتنين و سالب تمانية + +124 +00:12:24,140 --> 00:12:29,760 +بصير سالب ستة الصف الأول في العمود التالت زيرو + +125 +00:12:29,760 --> 00:12:34,880 +وأربعة في اتنين بتمانية اللحظة الصف الأول مكوّن من + +126 +00:12:34,880 --> 00:12:39,400 +تلات عناصر خلصت الصف الأول الآن بدي أجي للصف + +127 +00:12:39,400 --> 00:12:45,210 +التاني و أضره فيه جميع عناصر المصوفة بالترتيبالصف + +128 +00:12:45,210 --> 00:12:52,890 +الثاني في العمود الأول يبقى اتنين وواحد تلاتة يبقى + +129 +00:12:52,890 --> 00:12:57,110 +هاي تلاتة الصف الثاني في العمود الثاني هاي واحد + +130 +00:12:57,110 --> 00:13:03,750 +واتنين كمان تلاتة الصف الأول يبقى zero وهنا سالي + +131 +00:13:03,750 --> 00:13:08,710 +باتنين الآن الصف التالت في العمود الأول تلاتة في + +132 +00:13:08,710 --> 00:13:16,100 +اتنين ستة وناقص واحد يظل خمسةالان بالدالي للصف + +133 +00:13:16,100 --> 00:13:21,680 +التالت في العمود التاني تلاتة و ناقص اتنين بضال + +134 +00:13:21,680 --> 00:13:28,040 +قداش واحد الصف التالت في العمود التالت zero و هنا + +135 +00:13:28,040 --> 00:13:33,120 +اتنين بالشكل انه زي ما انت شايفه هذه طلعت تلاتة في + +136 +00:13:33,120 --> 00:13:39,290 +تلاتة زي ما احنا قلنا هنا قبل قليلإذاً عملية الضرب + +137 +00:13:39,290 --> 00:13:45,890 +ممكن أن تتم خلصنا نمرة A بداجي لنمرة B من المثلة + +138 +00:13:45,890 --> 00:13:52,410 +برضه بيمنعطيني مصفوفة الأولى هذه نظامها صف واحد + +139 +00:13:52,410 --> 00:14:01,810 +وثلاثة أعمدةهذه ثلاثة صفوف و قداش و عمودين عدد + +140 +00:14:01,810 --> 00:14:07,650 +الأعمدة يسوى عدد الصفوف إذا ممكن والنتج هو مصفوفة + +141 +00:14:07,650 --> 00:14:12,370 +واحد في اتنين يعني في الصف واحد و عمودين يعني بس + +142 +00:14:12,370 --> 00:14:16,030 +عنصرين فيها شايف من الكتار اللي بيطلع بس عنصرين + +143 +00:14:16,030 --> 00:14:27,250 +كيف كان التاني يبقى بداشي أخد هنا FB يسوىFB 2 3-1 + +144 +00:14:27,250 --> 00:14:34,330 +FB 2 0 1 4-2 1 + +145 +00:14:37,410 --> 00:14:42,450 +بدو يطلع عندي مصفوفة قولنا اللي هي واحد في اتنين + +146 +00:14:42,450 --> 00:14:52,270 +مافيش غيرها ليش؟ لأن هذه واحد في تلاتة وهذه تلاتة + +147 +00:14:52,270 --> 00:14:57,170 +في اتنين اذا تلاتة مع تلاتة بيظل واحد واتنين صف + +148 +00:14:57,170 --> 00:15:03,610 +واحد وعمودين فقط لا غير تعالى نضرب الصف الأول طبعا + +149 +00:15:03,610 --> 00:15:09,780 +مافيش غيره في العمود الأولها طلع الصف الأول في + +150 +00:15:09,780 --> 00:15:18,500 +العمود الأول يبقى 2 في 2 أربعة و 3 7 و 2 9 يبقى + +151 +00:15:18,500 --> 00:15:25,140 +العنصر الأول 9 فش غيره الصف نفسه في العمودي الثاني + +152 +00:15:25,140 --> 00:15:32,680 +يبقى zero وهنا 12 وهنا ناقص واحد يبقى 11 في غير + +153 +00:15:32,680 --> 00:15:38,860 +هيك؟زي ما انت شايفها صف واحد و عمودين فقط هذا a في + +154 +00:15:38,860 --> 00:15:46,720 +b طب بتجي ل b في a تعالى b في a لو جيت قلت ال b هي + +155 +00:15:46,720 --> 00:15:51,700 +عبارة عن تلاتة في اتنين في الهعم مش هيك هي تلاتة + +156 +00:15:51,700 --> 00:15:59,470 +في اتنينو جيت ل a اللي هي واحد في تلاتة عدد + +157 +00:15:59,470 --> 00:16:05,610 +الأعمدة لا يساوي عدد الصفوف بالتالي لا يمكن أن + +158 +00:16:05,610 --> 00:16:18,070 +يحدث ذلك يبقى بالداجي and ال b في a does not exist + +159 +00:16:19,440 --> 00:16:29,440 +هذا الكلام مش ممكن نقوله ليش؟ because the + +160 +00:16:29,440 --> 00:16:34,340 +number of + +161 +00:16:34,340 --> 00:16:46,440 +columns in المصهوفة a عدد الأعمدة في المصهوفة a is + +162 +00:16:46,440 --> 00:16:48,680 +three and + +163 +00:16:51,910 --> 00:17:05,530 +the number of rows in B is عدد الصفوف في المصفوف + +164 +00:17:05,530 --> 00:17:08,850 +بي + +165 +00:17:08,850 --> 00:17:15,410 +.. إيش احنا بدنا بي في إيه؟ لأ بدنا في بي، الأولى + +166 +00:17:15,410 --> 00:17:25,130 +عدد من بيفي بي is three وهنا عدد الصفوف is one + +167 +00:17:25,130 --> 00:17:33,790 +الأولى عدد الأعمدة فيها اتنين والتانية واحد ودول + +168 +00:17:33,790 --> 00:17:39,650 +اتنين are not equal من هنا لا يمكن ان تتم عملية + +169 +00:17:39,650 --> 00:17:40,370 +الضرب + +170 +00:17:59,400 --> 00:18:09,360 +مثال اتنين example two write + +171 +00:18:09,360 --> 00:18:14,860 +the system write the system + +172 +00:18:16,500 --> 00:18:23,840 +كتبولنا الـ system اللي هو اتنين X one زائد خمسة X + +173 +00:18:23,840 --> 00:18:33,000 +two بده يساوي سالب واحد و تلاتة X one ناقص اتنين X + +174 +00:18:33,000 --> 00:18:40,520 +two بده يساوي Zero و X one زائد X two بده يساوي + +175 +00:18:40,520 --> 00:19:00,770 +تلاتة in the formin the form ax بدي شاوي b يبقى + +176 +00:19:00,770 --> 00:19:06,560 +بيقولي اكتبنظام المعادلات الخطية اللى عندك على + +177 +00:19:06,560 --> 00:19:11,980 +الشكل ax يساوي b على شكل مصروفة معاملات في مصروفة + +178 +00:19:11,980 --> 00:19:16,940 +مجاهيل بده يساوي مصروفة الثوارث بقول له كويس فتدهي + +179 +00:19:16,940 --> 00:19:25,460 +لمصروفة المعاملات يبقى اتنين خمسة تلاتة نقص اتنين + +180 +00:19:25,460 --> 00:19:34,810 +واحد واحدالمجاهيل كم واحد؟ اتنين فش غيرهم يبقى X + +181 +00:19:34,810 --> 00:19:41,950 +واحد وهنا X اتنين بيسوي مصفوفة الثوابت سالب واحد + +182 +00:19:41,950 --> 00:19:48,770 +زيرو تلتة السؤال هو هل تتم هذه العملية ام لا تعالى + +183 +00:19:48,770 --> 00:19:56,000 +نشوف هذه المصفوفة نظامها تلت صفوف و عمودينتمام تلت + +184 +00:19:56,000 --> 00:20:01,660 +صفوف و عمودين هذه المصروفة نضعها صفين و عمود واحد + +185 +00:20:01,660 --> 00:20:07,840 +تمام إذا عدد الأعمدة يسوى عدد الصفوف وضع المصروفة + +186 +00:20:07,840 --> 00:20:13,760 +تلت صفوف و عمود واحد هي تلاتة في واحد يبقى تلت + +187 +00:20:13,760 --> 00:20:18,560 +صفوف و عمود واحد إذا كلامي صحيح عملنا الضرب هذه + +188 +00:20:18,560 --> 00:20:23,690 +بتتمو لو ضربت بيطلع عند مين المعادلة اللي فوق يبقى + +189 +00:20:23,690 --> 00:20:32,030 +كتابتي سليمة مائة بالمائة example three بقول + +190 +00:20:32,030 --> 00:20:39,830 +find the system of equations find the system of + +191 +00:20:39,830 --> 00:20:48,370 +equations that corresponding that corresponding + +192 +00:20:52,110 --> 00:21:03,410 +that corresponding to the vector equation ax بدي + +193 +00:21:03,410 --> 00:21:09,750 +ساوي b where حيث + +194 +00:21:11,950 --> 00:21:25,810 +where ال A تساوي اللي هو السالي ب 2 1 3 و 3 0 1 + +195 +00:21:25,810 --> 00:21:32,690 +and ال B تساوي 0 0 + +196 +00:21:48,030 --> 00:21:51,810 +بنرجع لسؤالنا مرة تانية بيقول هات ال system of + +197 +00:21:51,810 --> 00:21:53,990 +equations that corresponding to the vector + +198 +00:21:53,990 --> 00:21:58,490 +equation x بالساوية بيه حيث ال a و ال b معطيات + +199 +00:21:58,490 --> 00:22:03,010 +بالشكل اللي عنها يعني كأنه بيقول امشي عملية عكسية + +200 +00:22:03,010 --> 00:22:08,530 +لمن لسؤال اللي جابله باجي بقوله كويس انا عندي a في + +201 +00:22:08,530 --> 00:22:15,350 +x بده يساوي بيه ال a هي موجودةيبقى باجي بقوله ال a + +202 +00:22:15,350 --> 00:22:21,310 +موجودة هذا ال a في ال x يبقى هذا الكلام بده يساوي + +203 +00:22:21,310 --> 00:22:30,530 +ال a اللي هيبقى رعنين سلب 2 1 3 ودي 3 0 1 في + +204 +00:22:30,530 --> 00:22:36,990 +مصفوفة هنا مين هي الله أعلم بدها تساوي 0 و 0 + +205 +00:22:38,870 --> 00:22:45,670 +المصوفة هذه نظامها كم؟ اتنين في تلاتة كويس المصوفة + +206 +00:22:45,670 --> 00:22:51,930 +هذه نظامها اتنين في واحد صفين و عمود هذه مشان + +207 +00:22:51,930 --> 00:22:58,600 +تنضرب بدى يكون عندى هنا كم؟تلاتة صفوف و عمود واحد + +208 +00:22:58,600 --> 00:23:03,800 +يبقى هذا يريد تلاتة صفوف و عمود واحد تلاتة صفوف + +209 +00:23:03,800 --> 00:23:09,300 +اذا انا بادر اقول اكس واحد و اكس اتنين و اكس تلاتة + +210 +00:23:09,300 --> 00:23:12,720 +مظبوط اذا هو اللي يقول find the system of + +211 +00:23:12,720 --> 00:23:18,440 +equations هاتلي نظام المعادلة او المعادلة المكونة + +212 +00:23:18,440 --> 00:23:24,720 +لنظام المنظر لهذه المعادلة اذا انا حتى الآن كتبت + +213 +00:23:25,030 --> 00:23:29,330 +هذه المعادلة المصرفية كتبتها بشكل أعظم لهذا ال + +214 +00:23:29,330 --> 00:23:34,310 +system يبقى بدي أضرب الصف الأول في العمود الأول + +215 +00:23:34,310 --> 00:23:38,930 +بيعطيني المعادلة الأولى من هذا ال system يبقى + +216 +00:23:38,930 --> 00:23:42,370 +المعادلة الأولى الصف الأول في العمود الأول يبقى + +217 +00:23:42,370 --> 00:23:50,270 +ناقص اتنين x one زائد x two زائد تلاتة x three + +218 +00:23:50,270 --> 00:23:59,640 +بدون سوينالمعادلة التانية تلاتة اكس وان زائد اكس + +219 +00:23:59,640 --> 00:24:00,860 +ثري زائد اكس ثري زائد اكس ثري زائد اكس ثري زائد + +220 +00:24:00,860 --> 00:24:00,860 +اكس ثري زائد اكس ثري زائد اكس ثري زائد اكس ثري + +221 +00:24:00,860 --> 00:24:01,040 +زائد اكس ثري زائد اكس ثري زائد اكس ثري زائد اكس + +222 +00:24:01,040 --> 00:24:01,740 +ثري زائد اكس ثري زائد اكس ثري زائد اكس ثري زائد + +223 +00:24:01,740 --> 00:24:02,580 +اكس ثري زائد اكس ثري زائد اكس ثري زائد اكس ثري + +224 +00:24:02,580 --> 00:24:05,280 +زائد اكس ثري زائد اكس ثري زائد اكس ثري زائد اكس + +225 +00:24:05,280 --> 00:24:13,100 +ثري زائد اكس ثري زائد اكس ثري زائد اكس ثري + +226 +00:24:19,640 --> 00:24:25,080 +الو حل على الأقل الحل الصفري مش شغلتنا هذه المهم + +227 +00:24:25,080 --> 00:24:30,060 +احنا بدنا نعرف هالشغل هذا طيب بدنا نيجي لملاحظة ما + +228 +00:24:30,060 --> 00:24:36,420 +نكتب هذه الملاحظة ونحاول نستخدمها او نعمم ما سبق + +229 +00:24:36,420 --> 00:24:46,580 +الحديث عنه يبقى remark in general على + +230 +00:24:46,580 --> 00:24:56,480 +وجه العمومthe product product + +231 +00:24:56,480 --> 00:25:03,380 +of matrices of + +232 +00:25:03,380 --> 00:25:13,820 +matrices is not commutative is not يعني + +233 +00:25:13,820 --> 00:25:18,280 +عملية ضرب المصوفات ليست إبدالية + +234 +00:25:20,320 --> 00:25:27,560 +that is if الـ + +235 +00:25:27,560 --> 00:25:39,560 +A and ال B are matrices such + +236 +00:25:39,560 --> 00:25:52,360 +that بحيث أن ال A في ال B andالـ B في ال A are + +237 +00:25:52,360 --> 00:26:06,400 +both defined كلاهما معرف then it is not + +238 +00:26:06,400 --> 00:26:07,460 +necessarily + +239 +00:26:19,130 --> 00:26:28,790 +necessary that أن ال A في ال B بدي ساوي ال B في ال + +240 +00:26:28,790 --> 00:26:37,150 +A example نمرة + +241 +00:26:37,150 --> 00:26:56,740 +A show that بينيلي F ال A تساوي-2 5 1 4 and B + +242 +00:26:56,740 --> 00:27:11,620 +تساوي اللي هو تلاتة اتنين ناقص تلاتة أربعة then ال + +243 +00:27:11,620 --> 00:27:25,380 +A في B لا يساوي ال B في ال ANimra B Show that if + +244 +00:27:25,380 --> 00:27:31,160 +ال A تساوي واحد + +245 +00:27:31,160 --> 00:27:40,080 +اتنين سالب واحد Zero and ال B تساوي سالب واحد + +246 +00:27:40,080 --> 00:27:46,560 +اتنين سالب واحد سالب اتنين then + +247 +00:27:48,780 --> 00:27:53,120 +الـ A في الـ B يساوي الـ B في الـ A + +248 +00:28:24,260 --> 00:28:28,440 +بنجي لل remark اللي احنا كاتبينه هذا بقول in + +249 +00:28:28,440 --> 00:28:33,760 +general على وجه العموم the product of matrices is + +250 +00:28:33,760 --> 00:28:38,960 +not commutative عملية ضرب المصحفات ليست عملية + +251 +00:28:38,960 --> 00:28:43,400 +إبدالية that is لو كان ال a و ال e are matrices + +252 +00:28:43,400 --> 00:28:47,200 +بحيث أن ال a و ال a في b و ال b في a are both + +253 +00:28:47,200 --> 00:28:50,580 +defined لو كانت عملية الضرب من اليمين و من الي + +254 +00:28:50,580 --> 00:28:56,470 +أسار معرفةthen it is not necessary ليس بالضرورة أن + +255 +00:28:56,470 --> 00:29:00,170 +ال A في ال B بدوا يسووا مين، B في ال A يعني عملية + +256 +00:29:00,170 --> 00:29:04,110 +ضرب المصرفات ليست عملية .. لما أقول in general يا + +257 +00:29:04,110 --> 00:29:09,030 +بنات يعني على وجه العوم يعني قد شوذ حالة أو حالتين + +258 +00:29:09,030 --> 00:29:13,000 +أو تلاتة عن مين عن هذا النظاملكن in general بقول + +259 +00:29:13,000 --> 00:29:17,780 +غير ما ان طلعت مرة و الله مرتين و الله تلاتة يحدث + +260 +00:29:17,780 --> 00:29:23,140 +تسوي هذا معناه انه مش دايما هو بيحدث تسوي لكن بقدر + +261 +00:29:23,140 --> 00:29:28,390 +الله طلعت مرتين او مرة او تلاتةالآن سأعطيك مثال + +262 +00:29:28,390 --> 00:29:32,790 +أبيّلك أن ضرب المصوفات ليست commutative وضرب + +263 +00:29:32,790 --> 00:29:35,790 +الاكتنترون واطلعهم commutative يبقى يعطينا النتج + +264 +00:29:35,790 --> 00:29:41,330 +في كلامنا وبالتالي عملية التساوي غير صحيحة بيقول + +265 +00:29:41,330 --> 00:29:46,290 +مثال show that أنه لو كانت المصوفة A بالشكل اللي + +266 +00:29:46,290 --> 00:29:51,810 +عندنا هو B يبقى ال A في B لا يساوي ال B في A إذا + +267 +00:29:51,810 --> 00:29:55,750 +أنا بروح أخد ال A في ال B solution + +268 +00:29:58,690 --> 00:30:03,490 +وبدأ أخذ الجزء الأول ان هو المرأةبدأ أخد الـ a في + +269 +00:30:03,490 --> 00:30:09,710 +الـ b بدأ تساوي اللي هو سالب اتنين خمسة واحد اربع + +270 +00:30:09,710 --> 00:30:15,130 +في b اللي هو تلاتة اتنين سالب تلاتة اربع يبقى + +271 +00:30:15,130 --> 00:30:19,430 +المصفوفة الناتج كالتالي طبعا اتنين في اتنين وهذا + +272 +00:30:19,430 --> 00:30:22,410 +اتنين في اتنين يبقى الناتج اتنين في اتنين كذلك + +273 +00:30:22,410 --> 00:30:27,890 +الصف الأول في العمود الأول يبقى ناقص ستة وناقص + +274 +00:30:27,890 --> 00:30:33,200 +خمستاشر بناقص واحد وعشرينيبقى هاي ناقص واحد عشرين + +275 +00:30:33,200 --> 00:30:38,640 +الصف الأول في العمودي الثاني يبقى ناقص أربعة وعندك + +276 +00:30:38,640 --> 00:30:45,200 +هنا عشرين بيظل قداش ستة عشر الصف الثاني في العمودي + +277 +00:30:45,200 --> 00:30:51,720 +الأول تلاتة و هنا ناقص اتناشر بيظل قداش ناقص تسعة + +278 +00:30:51,720 --> 00:30:56,480 +الصف الثاني في العمودي التاني يبقى اتنين وستاش + +279 +00:30:56,480 --> 00:31:03,400 +بعدين امينتمنتاش يبقى ثمانية عشر بالشكل اللي عندنا + +280 +00:31:03,400 --> 00:31:12,700 +طيب بدنا نيجي B في A and ال B في ال A بده يساوي هي + +281 +00:31:12,700 --> 00:31:19,580 +تلاتة اتنين ناقص تلاتة اربعة في سالب اتنين خمسة + +282 +00:31:19,580 --> 00:31:25,290 +واحد اربعةبيده يساوي طبعا هيعطيني كمان مصوفة نظام + +283 +00:31:25,290 --> 00:31:29,370 +اتنين في اتنين يبقى الصف الأول في العمود الأول + +284 +00:31:29,370 --> 00:31:35,970 +سالب ستة وموجة باتنين يظل سالب أربع اللحظة اختلف + +285 +00:31:35,970 --> 00:31:40,030 +من البداية من أول عنصر قبل ما تكمل يبقى تساوي غير + +286 +00:31:40,030 --> 00:31:46,850 +حاصل طيب نكمل يبقى تلاتة في خمسة بخمستاشر وتمانية + +287 +00:31:46,850 --> 00:31:54,050 +تلاتة وعشرينالان الصف الثاني في العمود الأول ستة و + +288 +00:31:54,050 --> 00:31:59,570 +أربعة عشرة الصف الثاني في العمود الثاني سالب + +289 +00:31:59,570 --> 00:32:05,470 +خمستاش و عندك ستاش بيبقى القداش واحد يبقى من + +290 +00:32:05,470 --> 00:32:12,810 +الاتنين هدول بقدر استنتج ان ال A B لا يساوي ال B + +291 +00:32:12,810 --> 00:32:13,570 +في ال A + +292 +00:32:20,340 --> 00:32:28,320 +طيب بدي اخد ال a في ال b ويساوي يبقى واحد اتنين + +293 +00:32:28,320 --> 00:32:34,540 +سلب واحد زيرو واحد اتنين سلب واحد زيرو في b اللي + +294 +00:32:34,540 --> 00:32:39,820 +هو من سلب واحد اتنين سلب واحد سلب اتنين سلب واحد + +295 +00:32:39,820 --> 00:32:45,840 +اتنين سلب واحد سلب اتنين ويساويالصف الأول في + +296 +00:32:45,840 --> 00:32:50,640 +العمود الأول يبقى سالب واحد وسالب اتنين في الجدار + +297 +00:32:50,640 --> 00:32:55,280 +بسالب تلاتة الصف الأول في العمود التاني اتنين + +298 +00:32:55,280 --> 00:33:00,840 +وسالب اربعة بسالب اتنين الصف الثاني في العمود + +299 +00:33:00,840 --> 00:33:06,520 +الأول بواحد الصف الثاني في العمود التاني بسالب + +300 +00:33:06,520 --> 00:33:12,970 +اتنينالان بداجي للـ B في الـ A الـ B في الـ A يبقى + +301 +00:33:12,970 --> 00:33:17,890 +سالب واحد اتنين سالب واحد سالب اتنين في واحد اتنين + +302 +00:33:17,890 --> 00:33:23,250 +سالب واحد Zero ويساوي الصف الأول في العمود الأول + +303 +00:33:23,250 --> 00:33:29,250 +يبقى سالب واحد وسالب اتنين بسالب تلاتة الصف الأول + +304 +00:33:29,250 --> 00:33:34,510 +في العمود التاني سالب اتنين وذاك ب Zero الصف + +305 +00:33:34,510 --> 00:33:40,520 +الثاني في العمود الأوليبقى هاي عندى الوامين بسالب + +306 +00:33:40,520 --> 00:33:47,480 +واحد بسالب واحد وموجة باتنين يبقى بواحد الصف + +307 +00:33:47,480 --> 00:33:52,180 +الثاني في العمود الثاني بسالب اتنين والاخر بزيرو + +308 +00:33:52,340 --> 00:33:57,380 +أطلع النتيجة طلع a المصففين بيساووا بعض يبقى باجي + +309 +00:33:57,380 --> 00:34:03,300 +بقول الساعة ال a في ال b بده يساوي ال b في ال a + +310 +00:34:03,300 --> 00:34:07,960 +يعني يا بنات قد يحدث التساوي و قد لا يحدث لكن في + +311 +00:34:07,960 --> 00:34:14,490 +الغالبلن يحدث هذا التساوي يبقى in general على وجه + +312 +00:34:14,490 --> 00:34:20,130 +العموم عملية ضرب المصوفات ليست عملية إبدالية بمعنى + +313 +00:34:20,130 --> 00:34:25,450 +أن a في b لا يساوي ال b في a الآن زي ما أخدنا + +314 +00:34:25,450 --> 00:34:30,390 +نظرية على عملية جمع المصوفات بناخد نظرية على عملية + +315 +00:34:30,390 --> 00:34:35,890 +ضرب المصوفات النظرية بتقول ما يأتي theorem + +316 +00:34:43,300 --> 00:34:58,080 +بقول if c is a number كان هذا عدد حقيقي and if ال + +317 +00:34:58,080 --> 00:35:11,140 +a will be and c and capital c والله if a و b و c + +318 +00:35:13,350 --> 00:35:22,350 +and D are matrices + +319 +00:35:22,350 --> 00:35:29,050 +مصفوفات such that + +320 +00:35:29,050 --> 00:35:33,550 +the indicated + +321 +00:35:33,550 --> 00:35:37,130 +sums + +322 +00:35:37,130 --> 00:35:41,970 +and products + +323 +00:35:43,980 --> 00:35:54,760 +عملية الجمع هو الضرب are defined then النقطة + +324 +00:35:54,760 --> 00:36:06,880 +الأولى C في A في B بده يساوي A في CB يساوي + +325 +00:36:06,880 --> 00:36:10,020 +C في B + +326 +00:36:14,240 --> 00:36:31,380 +النقطة الثانية النقطة + +327 +00:36:31,380 --> 00:36:40,240 +التالتة اللي هو B زائد C كلها في D تساوي + +328 +00:36:42,440 --> 00:36:52,360 +BD زائد C في D زائد + +329 +00:36:52,360 --> 00:37:02,700 +C في D النقطة الرابعة ال A في ال B في ال D يساوي + +330 +00:37:02,700 --> 00:37:06,780 +ال A في ال B في ال D + +331 +00:37:09,610 --> 00:37:14,970 +طيب نيجي لنظرية هذه بيقول if c is a number لو كان + +332 +00:37:14,970 --> 00:37:19,390 +c عدد حقيقي و كان ال a و ال b و ال c و d عبارة عن + +333 +00:37:19,390 --> 00:37:24,890 +مصرفات بحيث أن indicated sums and products عاملين + +334 +00:37:24,890 --> 00:37:30,030 +الجمع والضرب الموضحة are defined يبقى كل عملية + +335 +00:37:30,030 --> 00:37:35,680 +الضرب و عملية الجمع هنا معرفةيبقى them لو ضربت + +336 +00:37:35,680 --> 00:37:40,020 +constant في a تطلع مصهوفة جديدة لإن ال c بدربه في + +337 +00:37:40,020 --> 00:37:46,180 +جميع عناصر a وضربت النتج في المصهوف b تماما كما لو + +338 +00:37:46,180 --> 00:37:50,020 +ضربت ال constant في b و اللي نتج ضربت في main + +339 +00:37:50,020 --> 00:37:54,720 +المصهوف a أو ضربت المصهوفين a و b في بعض و اللي + +340 +00:37:54,720 --> 00:37:59,800 +نتج ضربته في main في c الثلاث قيم are the sameيبقى + +341 +00:37:59,800 --> 00:38:02,880 +بتفرجش عندي لإني بضرب constant في مصفوفة مش + +342 +00:38:02,880 --> 00:38:06,600 +مصفوفتين في بعض يبقى constant مصفوفة تضرب يمين أو + +343 +00:38:06,600 --> 00:38:11,160 +تضرب شمال كنا بأثرش عنها سابقا ناخدناها طيب النقطة + +344 +00:38:11,160 --> 00:38:15,880 +الثانية بدي أضرب a في b زائد c يبقى هذي كلها + +345 +00:38:15,880 --> 00:38:21,860 +مصفوفات يبقى كأنه بدى وزع عملية الضرب على عملية من + +346 +00:38:21,860 --> 00:38:28,040 +الجامع يبقى يساوي a في b زائد a في c لحظة الضرب من + +347 +00:38:28,040 --> 00:38:35,620 +وين؟من جهتي الشمال يبقى a في b ثم a في c الترتيب + +348 +00:38:35,620 --> 00:38:40,440 +ضروري جدا مش هتقولي لي a في b زائد c في a لأ غلط + +349 +00:38:40,440 --> 00:38:44,300 +يبقى ضربتي من جهتي الشمال يبقى ضلك مش هتضرب من + +350 +00:38:44,300 --> 00:38:49,940 +جهتي الشمال ضربتي من جهتي اليمين b زائد c في d + +351 +00:38:49,940 --> 00:38:56,820 +يبقى b في d زائد c في dيبقى هدول اتنين اللي هم الـ + +352 +00:38:56,820 --> 00:39:02,700 +distributive law عملية التوزيع وهنا الخاصية رابعة + +353 +00:39:02,700 --> 00:39:10,160 +عملية الدمج A في B في C يسوى A في B في D يسوى A في + +354 +00:39:10,160 --> 00:39:16,080 +B في D يعني ايه؟يعني لو ضربت B في D أولا نتجة + +355 +00:39:16,080 --> 00:39:20,920 +مصروفة ضربتها من جهة الشمال في A تماما كما لو ضربت + +356 +00:39:20,920 --> 00:39:24,660 +A في B في بعض والنتجة ضربتها في D و هذه الخاصية + +357 +00:39:24,660 --> 00:39:30,920 +بجينا نسميها خاصيةالدمج ال associative law اللي هو + +358 +00:39:30,920 --> 00:39:35,100 +قانون الدمج اللي جابله ال distributive law اللي هو + +359 +00:39:35,100 --> 00:39:40,480 +قانون التوزيع تمام؟ بقت عندنا في هذا section + +360 +00:39:40,480 --> 00:39:46,140 +ملاحظة أخرى remark يبقى + +361 +00:39:46,140 --> 00:39:57,630 +remark بتقول ما تقفل AFالـ a is an n by n matrix + +362 +00:39:57,630 --> 00:40:06,930 +يبقى لو كانت مصوفة مربعة is an m في n matrix m في + +363 +00:40:06,930 --> 00:40:24,360 +n matrix and ال b and ال b is aninvp matrix مصفوفة + +364 +00:40:24,360 --> 00:40:31,680 +نظام invp then is + +365 +00:40:31,680 --> 00:40:49,200 +written as is written as call vectors as followas + +366 +00:40:49,200 --> 00:40:56,900 +follow كالتالي بي + +367 +00:40:56,900 --> 00:41:11,600 +بدها تساوي مثلا بي ون بي تو بي بي بي and + +368 +00:41:11,600 --> 00:41:24,280 +hence ومن ثمthe product a + +369 +00:41:24,280 --> 00:41:43,880 +في b is اللي هو a b مدرساوي اللي هو a b1 a b2 a bp + +370 +00:41:43,880 --> 00:41:50,640 +الشكل عن هذاعوادة بتدعيها الرمز main والرمز star + +371 +00:41:50,640 --> 00:41:56,860 +example + +372 +00:41:56,860 --> 00:42:02,360 +if + +373 +00:42:02,360 --> 00:42:12,290 +ال a تساوياتنين واحد سالب واحد Zero اتنين تلاتة + +374 +00:42:12,290 --> 00:42:26,050 +واحد نقص اتنين Zero and ال B تساوي واحد واحد سالب + +375 +00:42:26,050 --> 00:42:33,810 +واحد تلاتة اتنين واحد right then + +376 +00:42:38,590 --> 00:42:52,510 +product AB as in the formula star أكتب هالي زي ما + +377 +00:42:52,510 --> 00:42:54,510 +هي في ال formula star + +378 +00:43:09,210 --> 00:43:11,890 +بنرجع الـ remarkable اللي عندنا ونطبق عليه هذا + +379 +00:43:11,890 --> 00:43:17,630 +المثال تطبيقا مباشرة ebf اللي is an m by n matrix + +380 +00:43:17,630 --> 00:43:23,150 +و ال b عبارة عن np matrix إذا يمكن أن يكون هناك + +381 +00:43:23,150 --> 00:43:29,070 +حصلة ضرب a في b then ال b is written as convictors + +382 +00:43:29,070 --> 00:43:33,870 +as follows ال b بقدر أكتبها حسب عدد الأعمد اللي + +383 +00:43:33,870 --> 00:43:39,600 +فيها v1,v1,v2 لغاية vpهنا نسميها باسم ال بي بي وان + +384 +00:43:39,600 --> 00:43:42,040 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +385 +00:43:42,040 --> 00:43:44,260 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +386 +00:43:44,260 --> 00:43:45,480 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +387 +00:43:45,480 --> 00:43:51,800 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +388 +00:43:51,800 --> 00:43:52,920 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +389 +00:43:52,920 --> 00:43:52,980 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +390 +00:43:52,980 --> 00:43:53,380 +بي وان بي وان بي وان بي وان بي وان بي وان بي وان + +391 +00:43:53,380 --> 00:44:05,240 +بي وان بي وان + +392 +00:44:05,240 --> 00:44:15,060 +بي وانبدأجي أقوله a في b يساوي a في بي بدها اكتبها + +393 +00:44:15,060 --> 00:44:21,080 +ب b1 و b2 العمود الأول و العمود التاني زي ما احنا + +394 +00:44:21,080 --> 00:44:27,880 +كاتبينه هنا تماما يبقى هذه البنات بدها تساوي a في + +395 +00:44:27,880 --> 00:44:38,780 +b1 و a في b2كويس يعني هذه بدها تساوي هي هنا ال a + +396 +00:44:38,780 --> 00:44:45,080 +بدها حطها زي ما هي اتنين واحد سالب واحد zero اتنين + +397 +00:44:45,080 --> 00:44:51,720 +تلاتة واحد ناقص اتنين zero في مين في ال b one ال b + +398 +00:44:51,720 --> 00:44:57,900 +one اللي هو واحد ناقص واحد اتنين واحد المصوفة a + +399 +00:44:57,900 --> 00:45:01,480 +نفسها ليه اتنين واحد سالب واحد + +400 +00:45:14,130 --> 00:45:24,710 +يبقى الكلام يساوي تطلع المصفوفة التالية يبقى الصف + +401 +00:45:24,710 --> 00:45:31,570 +الأول في العمود الأول يطلع العنصر الأوليبقى اتنين + +402 +00:45:31,570 --> 00:45:37,030 +و سالب واحد و سالب اتنين اتنين و سالب اتنين مع + +403 +00:45:37,030 --> 00:45:43,220 +السلمة بيطلع كده؟ سالب واحد خلصنا منهالان بالدالي + +404 +00:45:43,220 --> 00:45:49,700 +للصف الأول في العمود نفسه يبقى zero سالي باتنين + +405 +00:45:49,700 --> 00:45:54,620 +وزائد ستة بضال قداش أربعة بالشكل اللي عندنا هذا + +406 +00:45:54,620 --> 00:45:58,680 +بكتبش في الصف لإن ماعنديش بكتب بالشكل اللي عندنا + +407 +00:45:58,680 --> 00:46:05,010 +هذا يبقى هنا واحدو سالب اتنين يعني بصير اتنين + +408 +00:46:05,010 --> 00:46:10,850 +تلاتة و zero يبقى هنا ياش تلاتة لحظة المصفوفة + +409 +00:46:10,850 --> 00:46:14,810 +تلاتة في تلاتة وهذه تلاتة في واحد بيصير تلاتة في + +410 +00:46:14,810 --> 00:46:19,570 +واحد هذه تلتة صفوف و واحد خلصنا هنا بدأجي لهذه + +411 +00:46:19,570 --> 00:46:26,150 +بنفس الطريقة اتنين و تلاتة خمسة و سالب واحد يبقى + +412 +00:46:26,150 --> 00:46:36,230 +اربعةاللي بعده Zero ستة وتلاتة يبقى تسعة اللي بعده + +413 +00:46:36,230 --> 00:46:43,430 +واحد و سالب ستة يبقى سالب خمسة و Zero يبقى سالب + +414 +00:46:43,430 --> 00:46:49,640 +خمسةيبقى هذه المصوفة الناتجة من حاصل الضرب وصلنا ل + +415 +00:46:49,640 --> 00:46:57,440 +exercises 2-5 يبقى exercises 2-5 المسائل التالية + +416 +00:46:57,440 --> 00:47:09,330 +اللي همين اتنين تلاتةخمسة، سبعة، تسعة، عشرة، + +417 +00:47:09,330 --> 00:47:17,530 +أحداشر، أتناشر، ستاشر، سبعتاشر، تسعتاشر، يعطيكوا + +418 +00:47:17,530 --> 00:47:17,850 +العجب + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_E3ug1jsGaY_raw.json b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_E3ug1jsGaY_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..6415651d0aa5c9d2bfc628b47fc95758348c3d62 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_E3ug1jsGaY_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4715, "start": 27.79, "end": 47.15, "text": "الشبطر أشبه بالمراجعة لمدرس في الثانوية العامة بنضيف عليه بعض الإضافات الشبطر هو عبارة عن matrices and determinants المصفوفات والمحددات matrices يا بنات هذه هي جامع matrix", "tokens": [6027, 8592, 3555, 9566, 2288, 5551, 8592, 3555, 3224, 20666, 29973, 26108, 27884, 32767, 3215, 2288, 3794, 8978, 6024, 104, 7649, 2407, 10632, 18863, 10943, 3660, 4724, 1863, 11242, 33911, 47356, 45030, 11242, 33688, 11242, 31845, 9307, 25124, 3555, 9566, 2288, 31439, 6225, 3555, 9640, 3660, 18871, 32284, 293, 15957, 1719, 9673, 9381, 5172, 38688, 9307, 16070, 2304, 24401, 3215, 9307, 32284, 35186, 4724, 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"seek": 61414, "start": 585.0, "end": 614.14, "text": "استعار اللي كان قبل قليل الـ matrix المصفوفة اللي هي من a11, a12, a13, a1n, a21, a22, a23, a2n نفض الماشيل لغاية am1", "tokens": [995, 14851, 3615, 9640, 13672, 1829, 25961, 12174, 36150, 12174, 20292, 1211, 2423, 39184, 8141, 9673, 9381, 5172, 38688, 3660, 13672, 1829, 39896, 9154, 257, 5348, 11, 257, 4762, 11, 257, 7668, 11, 257, 16, 77, 11, 257, 4436, 11, 257, 7490, 11, 257, 9356, 11, 257, 17, 77, 8717, 5172, 11242, 9673, 33599, 26895, 5296, 17082, 995, 10632, 669, 16], "avg_logprob": -0.26562499855795213, "compression_ratio": 1.3385826771653544, "no_speech_prob": 0.0, "words": [{"start": 585.0, "end": 585.84, "word": "استعار", "probability": 0.734588623046875}, {"start": 585.84, "end": 586.08, "word": " اللي", "probability": 0.39752197265625}, {"start": 586.08, "end": 586.36, "word": " كان", "probability": 0.95361328125}, {"start": 586.36, "end": 586.8, "word": " قبل", "probability": 0.968994140625}, {"start": 586.8, "end": 587.94, "word": " قليل", "probability": 0.9933268229166666}, {"start": 587.94, "end": 589.12, "word": " الـ", "probability": 0.41162109375}, {"start": 589.12, "end": 590.16, "word": " matrix", "probability": 0.62890625}, {"start": 590.16, "end": 593.04, "word": " المصفوفة", "probability": 0.9251953125}, {"start": 593.04, "end": 594.86, "word": " اللي", "probability": 0.6514892578125}, {"start": 594.86, "end": 595.14, "word": " هي", "probability": 0.822265625}, {"start": 595.14, "end": 595.4, "word": " من", "probability": 0.5947265625}, {"start": 595.4, "end": 597.46, "word": " a11,", "probability": 0.6207275390625}, {"start": 598.0, "end": 599.1, "word": " a12,", "probability": 0.925537109375}, {"start": 599.82, "end": 600.96, "word": " a13,", "probability": 0.974853515625}, {"start": 601.74, "end": 603.3, "word": " a1n,", "probability": 0.96728515625}, {"start": 604.16, "end": 605.02, "word": " a21,", "probability": 0.96533203125}, {"start": 605.88, "end": 606.7, "word": " a22,", "probability": 0.977783203125}, {"start": 607.48, "end": 608.46, "word": " a23,", "probability": 0.98486328125}, {"start": 609.14, "end": 610.8, "word": " a2n", "probability": 0.9542643229166666}, {"start": 610.8, "end": 611.7, "word": " نفض", "probability": 0.6912027994791666}, {"start": 611.7, "end": 612.34, "word": " الماشيل", "probability": 0.60791015625}, {"start": 612.34, "end": 612.8, "word": " لغاية", "probability": 0.9677734375}, {"start": 612.8, "end": 614.14, "word": " am1", "probability": 0.76220703125}], "temperature": 1.0}, {"id": 27, "seek": 64198, "start": 615.14, "end": 641.98, "text": "am1 am2 am3 amn يبجى هذه بسميها مصوفة المعاملات يبجى هذه is called the coefficient matrix the coefficient", "tokens": [335, 16, 669, 17, 669, 18, 669, 77, 7251, 3555, 7435, 7578, 29538, 4724, 38251, 1829, 11296, 3714, 9381, 38688, 3660, 9673, 3615, 10943, 1211, 9307, 7251, 3555, 7435, 7578, 29538, 307, 1219, 264, 17619, 8141, 264, 17619], "avg_logprob": -0.2375801220918313, "compression_ratio": 1.2300884955752212, "no_speech_prob": 0.0, "words": [{"start": 615.14, "end": 616.18, "word": "am1", "probability": 0.509429931640625}, {"start": 616.18, "end": 617.98, "word": " am2", "probability": 0.6436767578125}, {"start": 617.98, "end": 619.92, "word": " am3", "probability": 0.976318359375}, {"start": 619.92, "end": 622.4, "word": " amn", "probability": 0.942138671875}, {"start": 622.4, "end": 623.36, "word": " يبجى", "probability": 0.796142578125}, {"start": 623.36, "end": 623.58, "word": " هذه", "probability": 0.49755859375}, {"start": 623.58, "end": 624.38, "word": " بسميها", "probability": 0.89599609375}, {"start": 624.38, "end": 625.34, "word": " مصوفة", "probability": 0.9471435546875}, {"start": 625.34, "end": 627.1, "word": " المعاملات", "probability": 0.98544921875}, {"start": 627.1, "end": 628.38, "word": " يبجى", "probability": 0.8497314453125}, {"start": 628.38, "end": 628.8, "word": " هذه", "probability": 0.865234375}, {"start": 628.8, "end": 629.56, "word": " is", "probability": 0.5625}, {"start": 629.56, "end": 631.6, "word": " called", "probability": 0.79736328125}, {"start": 631.6, "end": 633.86, "word": " the", "probability": 0.6474609375}, {"start": 633.86, "end": 634.5, "word": " coefficient", "probability": 0.93603515625}, {"start": 634.5, "end": 635.52, "word": " matrix", "probability": 0.96533203125}, {"start": 635.52, "end": 639.54, "word": " the", "probability": 0.60205078125}, {"start": 639.54, "end": 641.98, "word": " coefficient", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 28, "seek": 67485, "start": 645.55, "end": 674.85, "text": "a coefficients matrix يبقى مصوفة المعاملات and ال matrix والمصوفة اللي هي من a11 a12 a1n a1n", "tokens": [64, 31994, 8141, 7251, 3555, 4587, 7578, 3714, 9381, 38688, 3660, 9673, 3615, 10943, 1211, 9307, 293, 2423, 8141, 16070, 2304, 9381, 38688, 3660, 13672, 1829, 39896, 9154, 257, 5348, 257, 4762, 257, 16, 77, 257, 16, 77], "avg_logprob": -0.37099359738521087, "compression_ratio": 1.2549019607843137, "no_speech_prob": 0.0, "words": [{"start": 645.55, "end": 645.87, "word": "a", "probability": 0.1434326171875}, {"start": 645.87, "end": 646.51, "word": " coefficients", "probability": 0.65185546875}, {"start": 646.51, "end": 648.81, "word": " matrix", "probability": 0.9580078125}, {"start": 648.81, "end": 650.45, "word": " يبقى", "probability": 0.6557159423828125}, {"start": 650.45, "end": 651.27, "word": " مصوفة", "probability": 0.8819580078125}, {"start": 651.27, "end": 652.51, "word": " المعاملات", "probability": 0.99169921875}, {"start": 652.51, "end": 653.83, "word": " and", "probability": 0.734375}, {"start": 653.83, "end": 657.73, "word": " ال", "probability": 0.34326171875}, {"start": 657.73, "end": 658.51, "word": " matrix", "probability": 0.701171875}, {"start": 658.51, "end": 663.77, "word": " والمصوفة", "probability": 0.81787109375}, {"start": 663.77, "end": 664.71, "word": " اللي", "probability": 0.6221923828125}, {"start": 664.71, "end": 664.93, "word": " هي", "probability": 0.912109375}, {"start": 664.93, "end": 665.23, "word": " من", "probability": 0.541015625}, {"start": 665.23, "end": 667.21, "word": " a11", "probability": 0.668212890625}, {"start": 667.21, "end": 669.07, "word": " a12", "probability": 0.7421875}, {"start": 669.07, "end": 672.75, "word": " a1n", "probability": 0.8151041666666666}, {"start": 672.75, "end": 674.85, "word": " a1n", "probability": 0.9270833333333334}], "temperature": 1.0}, {"id": 29, "seek": 68823, "start": 675.49, "end": 688.23, "text": "أو جيت ماشي اتون اتوتون اتون او ضليت ماشي لغاية امون امتون", "tokens": [10721, 2407, 10874, 36081, 3714, 33599, 1829, 1975, 2655, 11536, 1975, 2655, 35473, 11536, 1975, 2655, 11536, 1975, 2407, 48812, 20292, 2655, 3714, 33599, 1829, 5296, 17082, 995, 10632, 1975, 2304, 11536, 1975, 2304, 2655, 11536], "avg_logprob": -0.2780827606046522, "compression_ratio": 1.5441176470588236, "no_speech_prob": 0.0, "words": [{"start": 675.49, "end": 675.79, "word": "أو", "probability": 0.51043701171875}, {"start": 675.79, "end": 676.09, "word": " جيت", "probability": 0.805419921875}, {"start": 676.09, "end": 676.71, "word": " ماشي", "probability": 0.9176432291666666}, {"start": 676.71, "end": 677.97, "word": " اتون", "probability": 0.4638264973958333}, {"start": 677.97, "end": 680.87, "word": " اتوتون", "probability": 0.780029296875}, {"start": 680.87, "end": 682.47, "word": " اتون", "probability": 0.8800455729166666}, {"start": 682.47, "end": 683.45, "word": " او", "probability": 0.810791015625}, {"start": 683.45, "end": 683.93, "word": " ضليت", "probability": 0.7884114583333334}, {"start": 683.93, "end": 684.63, "word": " ماشي", "probability": 0.9278971354166666}, {"start": 684.63, "end": 685.27, "word": " لغاية", "probability": 0.9779052734375}, {"start": 685.27, "end": 686.29, "word": " امون", "probability": 0.6123860677083334}, {"start": 686.29, "end": 688.23, "word": " امتون", "probability": 0.9600830078125}], "temperature": 1.0}, {"id": 30, "seek": 71229, "start": 688.75, "end": 712.29, "text": "امن و رحت اضفت لها عمود زيادة اللي هو عمود ثوابت بي وان و بيتو وضلت ماشية لغاية بي ام هذي بسميها المصوفة الموسعة is called the augmented matrix", "tokens": [10943, 1863, 4032, 12602, 33753, 1975, 11242, 5172, 2655, 5296, 11296, 6225, 2304, 23328, 30767, 1829, 18513, 3660, 13672, 1829, 31439, 6225, 2304, 23328, 38637, 14407, 3555, 2655, 4724, 1829, 4032, 7649, 4032, 4724, 36081, 2407, 4032, 11242, 1211, 2655, 3714, 33599, 10632, 5296, 17082, 995, 10632, 4724, 1829, 1975, 2304, 8032, 8848, 1829, 4724, 38251, 1829, 11296, 9673, 9381, 38688, 3660, 9673, 41779, 27884, 307, 1219, 264, 36155, 8141], "avg_logprob": -0.272007038895513, "compression_ratio": 1.45, "no_speech_prob": 0.0, "words": [{"start": 688.75, "end": 690.47, "word": "امن", "probability": 0.46942138671875}, {"start": 690.47, "end": 691.29, "word": " و", "probability": 0.233154296875}, {"start": 691.29, "end": 691.67, "word": " رحت", "probability": 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{"start": 698.31, "end": 699.33, "word": " وضلت", "probability": 0.78900146484375}, {"start": 699.33, "end": 699.89, "word": " ماشية", "probability": 0.7919921875}, {"start": 699.89, "end": 700.81, "word": " لغاية", "probability": 0.9888916015625}, {"start": 700.81, "end": 701.55, "word": " بي", "probability": 0.892822265625}, {"start": 701.55, "end": 702.11, "word": " ام", "probability": 0.918212890625}, {"start": 702.11, "end": 702.89, "word": " هذي", "probability": 0.6051432291666666}, {"start": 702.89, "end": 703.45, "word": " بسميها", "probability": 0.8692626953125}, {"start": 703.45, "end": 704.43, "word": " المصوفة", "probability": 0.910400390625}, {"start": 704.43, "end": 705.57, "word": " الموسعة", "probability": 0.9638671875}, {"start": 705.57, "end": 706.61, "word": " is", "probability": 0.50537109375}, {"start": 706.61, "end": 707.61, "word": " called", "probability": 0.92822265625}, {"start": 707.61, "end": 710.91, "word": " the", "probability": 0.7197265625}, {"start": 710.91, "end": 711.47, "word": " augmented", "probability": 0.63427734375}, {"start": 711.47, "end": 712.29, "word": " matrix", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 31, "seek": 74939, "start": 721.73, "end": 749.39, "text": "بعدها بسميها المصفوفة الموسعة definition آخر the solution of the system a star is an entupel", "tokens": [3555, 22488, 11296, 4724, 38251, 1829, 11296, 9673, 9381, 5172, 38688, 3660, 9673, 41779, 27884, 7123, 19753, 34740, 264, 3827, 295, 264, 1185, 257, 3543, 307, 364, 948, 1010, 338], "avg_logprob": -0.4044858870967742, "compression_ratio": 1.09009009009009, "no_speech_prob": 0.0, "words": [{"start": 721.73, "end": 722.25, "word": "بعدها", "probability": 0.5057779947916666}, {"start": 722.25, "end": 722.85, "word": " بسميها", "probability": 0.81298828125}, {"start": 722.85, "end": 723.77, "word": " المصفوفة", "probability": 0.8435546875}, {"start": 723.77, "end": 724.69, "word": " الموسعة", "probability": 0.86376953125}, {"start": 724.69, "end": 726.21, "word": " definition", "probability": 0.2822265625}, {"start": 726.21, "end": 727.21, "word": " آخر", "probability": 0.77392578125}, {"start": 727.21, "end": 729.89, "word": " the", "probability": 0.2281494140625}, {"start": 729.89, "end": 730.85, "word": " solution", "probability": 0.96728515625}, {"start": 730.85, "end": 735.65, "word": " of", "probability": 0.953125}, {"start": 735.65, "end": 735.89, "word": " the", "probability": 0.89892578125}, {"start": 735.89, "end": 737.11, "word": " system", "probability": 0.9638671875}, {"start": 737.11, "end": 741.37, "word": " a", "probability": 0.30126953125}, {"start": 741.37, "end": 742.05, "word": " star", "probability": 0.90673828125}, {"start": 742.05, "end": 744.63, "word": " is", "probability": 0.95703125}, {"start": 744.63, "end": 746.77, "word": " an", "probability": 0.67333984375}, {"start": 746.77, "end": 749.39, "word": " entupel", "probability": 0.4340006510416667}], "temperature": 1.0}, {"id": 32, "seek": 77535, "start": 750.85, "end": 775.35, "text": "نتيوفل of numbers من الأعداد X1 و X2 و لغاية XN and satisfies the system", "tokens": [1863, 31371, 2407, 5172, 1211, 295, 3547, 9154, 16247, 22488, 18513, 1783, 16, 4032, 1783, 17, 4032, 5296, 17082, 995, 10632, 1783, 45, 293, 44271, 264, 1185], "avg_logprob": -0.44280134567192625, "compression_ratio": 0.9591836734693877, "no_speech_prob": 0.0, "words": [{"start": 750.85, "end": 752.07, "word": "نتيوفل", "probability": 0.4828857421875}, {"start": 752.07, "end": 753.73, "word": " of", "probability": 0.4228515625}, {"start": 753.73, "end": 756.17, "word": " numbers", "probability": 0.30517578125}, {"start": 756.17, "end": 757.57, "word": " من", "probability": 0.89892578125}, {"start": 757.57, "end": 759.33, "word": " الأعداد", "probability": 0.9275716145833334}, {"start": 759.33, "end": 760.99, "word": " X1", "probability": 0.5045166015625}, {"start": 760.99, "end": 761.59, "word": " و", "probability": 0.576171875}, {"start": 761.59, "end": 762.61, "word": " X2", "probability": 0.794921875}, {"start": 762.61, "end": 763.49, "word": " و", "probability": 0.82275390625}, {"start": 763.49, "end": 764.33, "word": " لغاية", "probability": 0.9166259765625}, {"start": 764.33, "end": 765.39, "word": " XN", "probability": 0.6763916015625}, {"start": 765.39, "end": 767.15, "word": " and", "probability": 0.70263671875}, {"start": 767.15, "end": 769.69, "word": " satisfies", "probability": 0.80126953125}, {"start": 769.69, "end": 774.67, "word": " the", "probability": 0.55029296875}, {"start": 774.67, "end": 775.35, "word": " system", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 33, "seek": 80972, "start": 785.18, "end": 809.72, "text": "remark for the solution of the above system star there are three possibilities there are", "tokens": [2579, 809, 337, 264, 3827, 295, 264, 3673, 1185, 3543, 456, 366, 1045, 12178, 456, 366], "avg_logprob": -0.2502297794117647, "compression_ratio": 1.2222222222222223, "no_speech_prob": 0.0, "words": [{"start": 785.1800000000001, "end": 786.58, "word": "remark", "probability": 0.6142578125}, {"start": 786.58, "end": 787.98, "word": " for", "probability": 0.7509765625}, {"start": 787.98, "end": 788.22, "word": " the", "probability": 0.8056640625}, {"start": 788.22, "end": 789.0, "word": " solution", "probability": 0.96044921875}, {"start": 789.0, "end": 794.64, "word": " of", "probability": 0.939453125}, {"start": 794.64, "end": 796.08, "word": " the", "probability": 0.87841796875}, {"start": 796.08, "end": 797.76, "word": " above", "probability": 0.94384765625}, {"start": 797.76, "end": 799.88, "word": " system", "probability": 0.94384765625}, {"start": 799.88, "end": 802.32, "word": " star", "probability": 0.4609375}, {"start": 802.32, "end": 804.94, "word": " there", "probability": 0.62353515625}, {"start": 804.94, "end": 805.24, "word": " are", "probability": 0.96337890625}, {"start": 805.24, "end": 805.62, "word": " three", "probability": 0.7060546875}, {"start": 805.62, "end": 806.52, "word": " possibilities", "probability": 0.84375}, {"start": 806.52, "end": 809.14, "word": " there", "probability": 0.8203125}, {"start": 809.14, "end": 809.72, "word": " are", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 34, "seek": 84118, "start": 813.24, "end": 841.18, "text": "three possibilities يحد ثلاثة احتمالات نمر واحد ال system has no solution ال system ممكن مايكونش له حل يعني", "tokens": [27583, 12178, 7251, 24401, 38637, 1211, 5718, 104, 3660, 1975, 33753, 2304, 6027, 9307, 8717, 29973, 36764, 24401, 2423, 1185, 575, 572, 3827, 2423, 1185, 3714, 43020, 19446, 1829, 30544, 8592, 46740, 11331, 1211, 37495, 22653], "avg_logprob": -0.3186233204764289, "compression_ratio": 1.224, "no_speech_prob": 0.0, "words": [{"start": 813.24, "end": 814.64, "word": "three", "probability": 0.175048828125}, {"start": 814.64, "end": 816.04, "word": " possibilities", "probability": 0.84375}, {"start": 816.04, "end": 820.8, "word": " يحد", "probability": 0.25732421875}, {"start": 820.8, "end": 821.48, "word": " ثلاثة", "probability": 0.864453125}, {"start": 821.48, "end": 822.48, "word": " احتمالات", "probability": 0.9591796875}, {"start": 822.48, "end": 823.44, "word": " نمر", "probability": 0.496337890625}, {"start": 823.44, "end": 824.02, "word": " واحد", "probability": 0.87841796875}, {"start": 824.02, "end": 825.68, "word": " ال", "probability": 0.55859375}, {"start": 825.68, "end": 826.32, "word": " system", "probability": 0.7646484375}, {"start": 826.32, "end": 831.12, "word": " has", "probability": 0.568359375}, {"start": 831.12, "end": 832.38, "word": " no", "probability": 0.93896484375}, {"start": 832.38, "end": 833.26, "word": " solution", "probability": 0.90234375}, {"start": 833.26, "end": 836.58, "word": " ال", "probability": 0.6689453125}, {"start": 836.58, "end": 836.94, "word": " system", "probability": 0.95849609375}, {"start": 836.94, "end": 837.38, "word": " ممكن", "probability": 0.95068359375}, {"start": 837.38, "end": 838.1, "word": " مايكونش", "probability": 0.7171630859375}, {"start": 838.1, "end": 838.34, "word": " له", "probability": 0.61083984375}, {"start": 838.34, "end": 838.68, "word": " حل", "probability": 0.98828125}, {"start": 838.68, "end": 841.18, "word": " يعني", "probability": 0.888916015625}], "temperature": 1.0}, {"id": 35, "seek": 87001, "start": 841.79, "end": 870.01, "text": "No intersection of lines or planes نمري اتنين The system has one solution", "tokens": [4540, 15236, 295, 3876, 420, 14952, 8717, 2304, 16572, 1975, 2655, 1863, 9957, 440, 1185, 575, 472, 3827], "avg_logprob": -0.38671875, "compression_ratio": 0.9879518072289156, "no_speech_prob": 0.0, "words": [{"start": 841.79, "end": 842.55, "word": "No", "probability": 0.115478515625}, {"start": 842.55, "end": 846.69, "word": " intersection", "probability": 0.85888671875}, {"start": 846.69, "end": 851.29, "word": " of", "probability": 0.89208984375}, {"start": 851.29, "end": 853.55, "word": " lines", "probability": 0.92041015625}, {"start": 853.55, "end": 856.21, "word": " or", "probability": 0.916015625}, {"start": 856.21, "end": 857.29, "word": " planes", "probability": 0.89697265625}, {"start": 857.29, "end": 862.49, "word": " نمري", "probability": 0.3789876302083333}, {"start": 862.49, "end": 863.07, "word": " اتنين", "probability": 0.9093017578125}, {"start": 863.07, "end": 865.97, "word": " The", "probability": 0.485595703125}, {"start": 865.97, "end": 866.65, "word": " system", "probability": 0.951171875}, {"start": 866.65, "end": 867.43, "word": " has", "probability": 0.95166015625}, {"start": 867.43, "end": 868.81, "word": " one", "probability": 0.92822265625}, {"start": 868.81, "end": 870.01, "word": " solution", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 36, "seek": 90217, "start": 872.59, "end": 902.17, "text": "الواحد فقط يبقى all linear lines intersect in one point", "tokens": [6027, 14407, 24401, 6156, 47432, 7251, 3555, 4587, 7578, 439, 8213, 3876, 27815, 294, 472, 935], "avg_logprob": -0.20990349264705882, "compression_ratio": 0.9444444444444444, "no_speech_prob": 0.0, "words": [{"start": 872.59, "end": 873.59, "word": "الواحد", "probability": 0.9137369791666666}, {"start": 873.59, "end": 874.17, "word": " فقط", "probability": 0.94580078125}, {"start": 874.17, "end": 878.51, "word": " يبقى", "probability": 0.869384765625}, {"start": 878.51, "end": 879.11, "word": " all", "probability": 0.3408203125}, {"start": 879.11, "end": 881.53, "word": " linear", "probability": 0.8505859375}, {"start": 881.53, "end": 889.85, "word": " lines", "probability": 0.837890625}, {"start": 889.85, "end": 894.59, "word": " intersect", "probability": 0.5693359375}, {"start": 894.59, "end": 899.33, "word": " in", "probability": 0.671875}, {"start": 899.33, "end": 900.91, "word": " one", "probability": 0.93701171875}, {"start": 900.91, "end": 902.17, "word": " point", "probability": 0.974609375}], "temperature": 1.0}, {"id": 37, "seek": 93109, "start": 903.37, "end": 931.09, "text": "في نقطة واحدة الاحتمال الثالث والاخير ال system has infinite number of solutions infinite number of solutions يعني", "tokens": [41185, 8717, 47432, 3660, 36764, 24401, 3660, 42963, 33753, 2304, 6027, 6024, 104, 6027, 12984, 16070, 47283, 13546, 2423, 1185, 575, 13785, 1230, 295, 6547, 13785, 1230, 295, 6547, 37495, 22653], "avg_logprob": -0.1741943322122097, "compression_ratio": 1.4074074074074074, "no_speech_prob": 0.0, "words": [{"start": 903.37, "end": 903.69, "word": "في", "probability": 0.6142578125}, {"start": 903.69, "end": 904.45, "word": " نقطة", "probability": 0.9861653645833334}, {"start": 904.45, "end": 905.19, "word": " واحدة", "probability": 0.99267578125}, {"start": 905.19, "end": 907.15, "word": " الاحتمال", "probability": 0.9320068359375}, {"start": 907.15, "end": 907.79, "word": " الثالث", "probability": 0.95458984375}, {"start": 907.79, "end": 909.09, "word": " والاخير", "probability": 0.8741861979166666}, {"start": 909.09, "end": 910.47, "word": " ال", "probability": 0.53173828125}, {"start": 910.47, "end": 910.93, "word": " system", "probability": 0.2264404296875}, {"start": 910.93, "end": 911.81, "word": " has", "probability": 0.88720703125}, {"start": 911.81, "end": 913.43, "word": " infinite", "probability": 0.79638671875}, {"start": 913.43, "end": 917.73, "word": " number", "probability": 0.62353515625}, {"start": 917.73, "end": 922.09, "word": " of", "probability": 0.94091796875}, {"start": 922.09, "end": 923.45, "word": " solutions", "probability": 0.92578125}, {"start": 923.45, "end": 927.75, "word": " infinite", "probability": 0.771484375}, {"start": 927.75, "end": 928.43, "word": " number", "probability": 0.978515625}, {"start": 928.43, "end": 928.67, "word": " of", "probability": 0.95361328125}, {"start": 928.67, "end": 929.37, "word": " solutions", "probability": 0.94921875}, {"start": 929.37, "end": 931.09, "word": " يعني", "probability": 0.952880859375}], "temperature": 1.0}, {"id": 38, "seek": 93817, "start": 934.63, "end": 938.17, "text": "lines lines go inside", "tokens": [11045, 3876, 352, 1854], "avg_logprob": -0.7359375, "compression_ratio": 0.84, "no_speech_prob": 0.0, "words": [{"start": 934.63, "end": 936.03, "word": "lines", "probability": 0.63427734375}, {"start": 936.03, "end": 937.43, "word": " lines", "probability": 0.066650390625}, {"start": 937.43, "end": 937.75, "word": " go", "probability": 0.67724609375}, {"start": 937.75, "end": 938.17, "word": " inside", "probability": 0.90869140625}], "temperature": 1.0}, {"id": 39, "seek": 99590, "start": 970.48, "end": 995.9, "text": "coincide or all the planes جميع المستويات intersect in a line تتقطع في خط مستقيم واحد or coincide", "tokens": [1291, 4647, 482, 420, 439, 264, 14952, 10874, 2304, 40228, 9673, 14851, 45865, 9307, 27815, 294, 257, 1622, 6055, 2655, 47432, 3615, 8978, 16490, 9566, 3714, 14851, 4587, 32640, 36764, 24401, 420, 13001, 482], "avg_logprob": -0.174776782308306, "compression_ratio": 1.1415929203539823, "no_speech_prob": 0.0, "words": [{"start": 970.48, "end": 971.88, "word": "coincide", "probability": 0.7330729166666666}, {"start": 971.88, "end": 973.28, "word": " or", "probability": 0.2548828125}, {"start": 973.28, "end": 974.86, "word": " all", "probability": 0.90966796875}, {"start": 974.86, "end": 976.56, "word": " the", "probability": 0.853515625}, {"start": 976.56, "end": 978.56, "word": " planes", "probability": 0.87841796875}, {"start": 978.56, "end": 979.54, "word": " جميع", "probability": 0.9236653645833334}, {"start": 979.54, "end": 980.56, "word": " المستويات", "probability": 0.983642578125}, {"start": 980.56, "end": 982.2, "word": " intersect", "probability": 0.88232421875}, {"start": 982.2, "end": 985.92, "word": " in", "probability": 0.8955078125}, {"start": 985.92, "end": 987.98, "word": " a", "probability": 0.91162109375}, {"start": 987.98, "end": 988.58, "word": " line", "probability": 0.96533203125}, {"start": 988.58, "end": 990.82, "word": " تتقطع", "probability": 0.8665771484375}, {"start": 990.82, "end": 991.18, "word": " في", "probability": 0.95361328125}, {"start": 991.18, "end": 991.66, "word": " خط", "probability": 0.99658203125}, {"start": 991.66, "end": 992.82, "word": " مستقيم", "probability": 0.956787109375}, {"start": 992.82, "end": 993.8, "word": " واحد", "probability": 0.955078125}, {"start": 993.8, "end": 994.84, "word": " or", "probability": 0.9111328125}, {"start": 994.84, "end": 995.9, "word": " coincide", "probability": 0.847412109375}], "temperature": 1.0}, {"id": 40, "seek": 102692, "start": 1002.96, "end": 1026.92, "text": "كوانصيف نوت for the system star for the system star there is no two solutions there is", "tokens": [4117, 2407, 7649, 9381, 33911, 8717, 35473, 337, 264, 1185, 3543, 337, 264, 1185, 3543, 456, 307, 572, 732, 6547, 456, 307], "avg_logprob": -0.5081521739130435, "compression_ratio": 1.2467532467532467, "no_speech_prob": 0.0, "words": [{"start": 1002.96, "end": 1004.36, "word": "كوانصيف", "probability": 0.4892578125}, {"start": 1004.36, "end": 1005.76, "word": " نوت", "probability": 0.165985107421875}, {"start": 1005.76, "end": 1010.24, "word": " for", "probability": 0.44189453125}, {"start": 1010.24, "end": 1010.44, "word": " the", "probability": 0.87060546875}, {"start": 1010.44, "end": 1010.82, "word": " system", "probability": 0.9541015625}, {"start": 1010.82, "end": 1011.44, "word": " star", "probability": 0.513671875}, {"start": 1011.44, "end": 1012.54, "word": " for", "probability": 0.62890625}, {"start": 1012.54, "end": 1013.66, "word": " the", "probability": 0.81298828125}, {"start": 1013.66, "end": 1015.56, "word": " system", "probability": 0.96533203125}, {"start": 1015.56, "end": 1020.98, "word": " star", "probability": 0.7021484375}, {"start": 1020.98, "end": 1022.88, "word": " there", "probability": 0.77490234375}, {"start": 1022.88, "end": 1023.12, "word": " is", "probability": 0.92431640625}, {"start": 1023.12, "end": 1023.36, "word": " no", "probability": 0.7958984375}, {"start": 1023.36, "end": 1023.66, "word": " two", "probability": 0.9189453125}, {"start": 1023.66, "end": 1024.38, "word": " solutions", "probability": 0.92041015625}, {"start": 1024.38, "end": 1026.54, "word": " there", "probability": 0.85107421875}, {"start": 1026.54, "end": 1026.92, "word": " is", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 41, "seek": 105567, "start": 1027.85, "end": 1055.67, "text": "no two solutions or three solutions or but one", "tokens": [1771, 732, 6547, 420, 1045, 6547, 420, 457, 472], "avg_logprob": -0.4937499940395355, "compression_ratio": 1.0952380952380953, "no_speech_prob": 0.0, "words": [{"start": 1027.85, "end": 1028.47, "word": "no", "probability": 0.10906982421875}, {"start": 1028.47, "end": 1030.57, "word": " two", "probability": 0.2320556640625}, {"start": 1030.57, "end": 1033.79, "word": " solutions", "probability": 0.970703125}, {"start": 1033.79, "end": 1036.49, "word": " or", "probability": 0.7216796875}, {"start": 1036.49, "end": 1039.61, "word": " three", "probability": 0.70458984375}, {"start": 1039.61, "end": 1042.73, "word": " solutions", "probability": 0.95556640625}, {"start": 1042.73, "end": 1046.87, "word": " or", "probability": 0.810546875}, {"start": 1046.87, "end": 1052.33, "word": " but", "probability": 0.84228515625}, {"start": 1052.33, "end": 1055.67, "word": " one", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 42, "seek": 108490, "start": 1056.76, "end": 1084.9, "text": "solution or infinite number of solutions division the above system star", "tokens": [30926, 1448, 420, 13785, 1230, 295, 6547, 10044, 264, 3673, 1185, 3543], "avg_logprob": -0.4362980769230769, "compression_ratio": 1.109375, "no_speech_prob": 0.0, "words": [{"start": 1056.76, "end": 1058.2, "word": "solution", "probability": 0.50689697265625}, {"start": 1058.2, "end": 1060.3, "word": " or", "probability": 0.603515625}, {"start": 1060.3, "end": 1063.16, "word": " infinite", "probability": 0.712890625}, {"start": 1063.16, "end": 1066.84, "word": " number", "probability": 0.95654296875}, {"start": 1066.84, "end": 1069.22, "word": " of", "probability": 0.91748046875}, {"start": 1069.22, "end": 1071.84, "word": " solutions", "probability": 0.91943359375}, {"start": 1071.84, "end": 1077.12, "word": " division", "probability": 0.23583984375}, {"start": 1077.12, "end": 1079.58, "word": " the", "probability": 0.52734375}, {"start": 1079.58, "end": 1080.18, "word": " above", "probability": 0.93505859375}, {"start": 1080.18, "end": 1082.32, "word": " system", "probability": 0.94921875}, {"start": 1082.32, "end": 1084.9, "word": " star", "probability": 0.6220703125}], "temperature": 1.0}, {"id": 43, "seek": 111224, "start": 1086.8, "end": 1112.24, "text": "is called consistent if it has consistent if it has", "tokens": [271, 1219, 8398, 498, 309, 575, 8398, 498, 309, 575], "avg_logprob": -0.288174721327695, "compression_ratio": 1.275, "no_speech_prob": 0.0, "words": [{"start": 1086.8, "end": 1087.16, "word": "is", "probability": 0.83349609375}, {"start": 1087.16, "end": 1087.56, "word": " called", "probability": 0.95361328125}, {"start": 1087.56, "end": 1088.32, "word": " consistent", "probability": 0.87744140625}, {"start": 1088.32, "end": 1096.54, "word": " if", "probability": 0.310546875}, {"start": 1096.54, "end": 1102.78, "word": " it", "probability": 0.97705078125}, {"start": 1102.78, "end": 1103.34, "word": " has", "probability": 0.96533203125}, {"start": 1103.34, "end": 1106.86, "word": " consistent", "probability": 0.66162109375}, {"start": 1106.86, "end": 1111.48, "word": " if", "probability": 0.947265625}, {"start": 1111.48, "end": 1111.72, "word": " it", "probability": 0.97998046875}, {"start": 1111.72, "end": 1112.24, "word": " has", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 44, "seek": 114300, "start": 1116.72, "end": 1143.0, "text": "one solution or infinite number of solutions نمرأ نان دوا first semester", "tokens": [546, 3827, 420, 13785, 1230, 295, 6547, 8717, 29973, 10721, 8717, 7649, 11778, 14407, 700, 11894], "avg_logprob": -0.4719669117647059, "compression_ratio": 1.0379746835443038, "no_speech_prob": 0.0, "words": [{"start": 1116.7199999999998, "end": 1118.12, "word": "one", "probability": 0.67236328125}, {"start": 1118.12, "end": 1119.52, "word": " solution", "probability": 0.955078125}, {"start": 1119.52, "end": 1122.72, "word": " or", "probability": 0.7109375}, {"start": 1122.72, "end": 1125.56, "word": " infinite", "probability": 0.84619140625}, {"start": 1125.56, "end": 1128.42, "word": " number", "probability": 0.94775390625}, {"start": 1128.42, "end": 1130.96, "word": " of", "probability": 0.93701171875}, {"start": 1130.96, "end": 1134.16, "word": " solutions", "probability": 0.93359375}, {"start": 1134.16, "end": 1138.2, "word": " نمرأ", "probability": 0.5826009114583334}, {"start": 1138.2, "end": 1139.22, "word": " نان", "probability": 0.5069580078125}, {"start": 1139.22, "end": 1142.14, "word": " دوا", "probability": 0.33349609375}, {"start": 1142.14, "end": 1142.5, "word": " first", "probability": 0.68115234375}, {"start": 1142.5, "end": 1143.0, "word": " semester", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 45, "seek": 117863, "start": 1150.01, "end": 1178.63, "text": "الشركة السابقة استارة اسمها ان كون سيستانت ان كون سيستانت اذا كان لديه اذا كان لديه لا حلول", "tokens": [6027, 8592, 31747, 3660, 21136, 16758, 28671, 24525, 2655, 9640, 3660, 24525, 2304, 11296, 16472, 9122, 11536, 8608, 1829, 14851, 7649, 2655, 16472, 9122, 11536, 8608, 1829, 14851, 7649, 2655, 1975, 15730, 25961, 5296, 16254, 3224, 1975, 15730, 25961, 5296, 16254, 3224, 20193, 11331, 1211, 12610], "avg_logprob": -0.5801197011420067, "compression_ratio": 1.853932584269663, "no_speech_prob": 0.0, "words": [{"start": 1150.01, "end": 1150.55, "word": "الشركة", "probability": 0.50048828125}, {"start": 1150.55, "end": 1150.67, "word": " السابقة", "probability": 0.412353515625}, {"start": 1150.67, "end": 1152.05, "word": " استارة", "probability": 0.517974853515625}, {"start": 1152.05, "end": 1153.85, "word": " اسمها", "probability": 0.6146647135416666}, {"start": 1153.85, "end": 1158.47, "word": " ان", "probability": 0.270751953125}, {"start": 1158.47, "end": 1160.37, "word": " كون", "probability": 0.40289306640625}, {"start": 1160.37, "end": 1163.23, "word": " سيستانت", "probability": 0.72138671875}, {"start": 1163.23, "end": 1164.11, "word": " ان", "probability": 0.5751953125}, {"start": 1164.11, "end": 1164.53, "word": " كون", "probability": 0.69775390625}, {"start": 1164.53, "end": 1166.43, "word": " سيستانت", "probability": 0.9037109375}, {"start": 1166.43, "end": 1167.15, "word": " اذا", "probability": 0.71435546875}, {"start": 1167.15, "end": 1168.57, "word": " كان", "probability": 0.708984375}, {"start": 1168.57, "end": 1171.45, "word": " لديه", "probability": 0.583251953125}, {"start": 1171.45, "end": 1175.21, "word": " اذا", "probability": 0.730224609375}, {"start": 1175.21, "end": 1175.47, "word": " كان", "probability": 0.96044921875}, {"start": 1175.47, "end": 1176.53, "word": " لديه", "probability": 0.9632161458333334}, {"start": 1176.53, "end": 1177.73, "word": " لا", "probability": 0.1834716796875}, {"start": 1177.73, "end": 1178.63, "word": " حلول", "probability": 0.6858723958333334}], "temperature": 1.0}, {"id": 46, "seek": 120645, "start": 1181.49, "end": 1206.45, "text": "تلاتة a set of all solutions a set of all solutions of the system a star is called", "tokens": [2655, 1211, 9307, 3660, 257, 992, 295, 439, 6547, 257, 992, 295, 439, 6547, 295, 264, 1185, 257, 3543, 307, 1219], "avg_logprob": -0.27397016368129035, "compression_ratio": 1.2428571428571429, "no_speech_prob": 0.0, "words": [{"start": 1181.4899999999998, "end": 1182.8899999999999, "word": "تلاتة", "probability": 0.78997802734375}, {"start": 1182.8899999999999, "end": 1184.29, "word": " a", "probability": 0.1260986328125}, {"start": 1184.29, "end": 1184.55, "word": " set", "probability": 0.96044921875}, {"start": 1184.55, "end": 1184.75, "word": " of", "probability": 0.97900390625}, {"start": 1184.75, "end": 1184.95, "word": " all", "probability": 0.9423828125}, {"start": 1184.95, "end": 1185.89, "word": " solutions", "probability": 0.9501953125}, {"start": 1185.89, "end": 1193.31, "word": " a", "probability": 0.450927734375}, {"start": 1193.31, "end": 1193.63, "word": " set", "probability": 0.96435546875}, {"start": 1193.63, "end": 1193.89, "word": " of", "probability": 0.97998046875}, {"start": 1193.89, "end": 1194.13, "word": " all", "probability": 0.94921875}, {"start": 1194.13, "end": 1194.99, "word": " solutions", "probability": 0.9482421875}, {"start": 1194.99, "end": 1196.25, "word": " of", "probability": 0.9453125}, {"start": 1196.25, "end": 1197.85, "word": " the", "probability": 0.8642578125}, {"start": 1197.85, "end": 1200.11, "word": " system", "probability": 0.9677734375}, {"start": 1200.11, "end": 1201.77, "word": " a", "probability": 0.36962890625}, {"start": 1201.77, "end": 1202.35, "word": " star", "probability": 0.93896484375}, {"start": 1202.35, "end": 1204.51, "word": " is", "probability": 0.93603515625}, {"start": 1204.51, "end": 1206.45, "word": " called", "probability": 0.93359375}], "temperature": 1.0}, {"id": 47, "seek": 123532, "start": 1207.88, "end": 1235.32, "text": "the general أو complete solution of the system تعريف الرابع", "tokens": [3322, 2674, 34051, 3566, 3827, 295, 264, 1185, 37279, 16572, 5172, 34892, 16758, 3615], "avg_logprob": -0.1964843730131785, "compression_ratio": 0.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 1207.88, "end": 1208.38, "word": "the", "probability": 0.408203125}, {"start": 1208.38, "end": 1211.02, "word": " general", "probability": 0.927734375}, {"start": 1211.02, "end": 1215.0, "word": " أو", "probability": 0.609375}, {"start": 1215.0, "end": 1216.7, "word": " complete", "probability": 0.77294921875}, {"start": 1216.7, "end": 1223.38, "word": " solution", "probability": 0.50146484375}, {"start": 1223.38, "end": 1227.84, "word": " of", "probability": 0.96826171875}, {"start": 1227.84, "end": 1229.32, "word": " the", "probability": 0.8857421875}, {"start": 1229.32, "end": 1231.4, "word": " system", "probability": 0.9736328125}, {"start": 1231.4, "end": 1234.7, "word": " تعريف", "probability": 0.9733072916666666}, {"start": 1234.7, "end": 1235.32, "word": " الرابع", "probability": 0.96875}], "temperature": 1.0}, {"id": 48, "seek": 126474, "start": 1238.22, "end": 1264.74, "text": "تو سيستام او اكوايشن هم قادرين يكونوا اكوالينت هم قادرين يكونوا اكوالينت اذا كانوا", "tokens": [2655, 2407, 8608, 1829, 14851, 10943, 1975, 2407, 1975, 4117, 14407, 1829, 8592, 1863, 8032, 2304, 12174, 18513, 2288, 9957, 7251, 30544, 14407, 1975, 4117, 2407, 6027, 9957, 2655, 8032, 2304, 12174, 18513, 2288, 9957, 7251, 30544, 14407, 1975, 4117, 2407, 6027, 9957, 2655, 1975, 15730, 25961, 14407], "avg_logprob": -0.5098852040816326, "compression_ratio": 1.9113924050632911, "no_speech_prob": 0.0, "words": [{"start": 1238.22, "end": 1238.56, "word": "تو", "probability": 0.42950439453125}, {"start": 1238.56, "end": 1239.3, "word": " سيستام", "probability": 0.66717529296875}, {"start": 1239.3, "end": 1244.8, "word": " او", "probability": 0.4852294921875}, {"start": 1244.8, "end": 1247.16, "word": " اكوايشن", "probability": 0.564208984375}, {"start": 1247.16, "end": 1249.1, "word": " هم", "probability": 0.415771484375}, {"start": 1249.1, "end": 1249.42, "word": " قادرين", "probability": 0.616241455078125}, {"start": 1249.42, "end": 1251.12, "word": " يكونوا", "probability": 0.7127278645833334}, {"start": 1251.12, "end": 1256.46, "word": " اكوالينت", "probability": 0.4278564453125}, {"start": 1256.46, "end": 1261.96, "word": " هم", "probability": 0.83203125}, {"start": 1261.96, "end": 1262.3, "word": " قادرين", "probability": 0.9453125}, {"start": 1262.3, "end": 1262.6, "word": " يكونوا", "probability": 0.9619140625}, {"start": 1262.6, "end": 1263.42, "word": " اكوالينت", "probability": 0.9388834635416666}, {"start": 1263.42, "end": 1264.56, "word": " اذا", "probability": 0.746337890625}, {"start": 1264.56, "end": 1264.74, "word": " كانوا", "probability": 0.80419921875}], "temperature": 1.0}, {"id": 49, "seek": 129909, "start": 1270.62, "end": 1299.1, "text": "if they have exactly exactly the same solutions درجع لكلام اللي احنا كاتبينه هذا مرة تانية يا بنات يبقى شوية تعريف وبها ننهي الجزء النظري وبعدين نبدأ ناخد أمثلة التعريف يقول ال system المجموعة المعادلة اللي كنا كاتبينها قبل قليل", "tokens": [351, 436, 362, 2293, 2293, 264, 912, 6547, 11778, 47341, 3615, 5296, 28820, 10943, 13672, 1829, 1975, 5016, 8315, 9122, 9307, 3555, 9957, 3224, 23758, 3714, 25720, 6055, 7649, 10632, 35186, 4724, 8315, 2655, 7251, 3555, 4587, 7578, 13412, 2407, 10632, 37279, 16572, 5172, 46599, 11296, 8717, 1863, 3224, 1829, 25724, 11622, 38207, 28239, 19913, 16572, 46599, 22488, 9957, 8717, 44510, 10721, 8717, 47283, 3215, 5551, 2304, 12984, 37977, 16712, 3615, 16572, 5172, 7251, 39648, 2423, 1185, 9673, 7435, 2304, 2407, 27884, 9673, 3615, 18513, 37977, 13672, 1829, 9122, 8315, 9122, 9307, 3555, 9957, 11296, 12174, 36150, 12174, 20292, 1211], "avg_logprob": -0.17543317067741168, "compression_ratio": 1.6271929824561404, "no_speech_prob": 0.0, "words": [{"start": 1270.62, "end": 1271.0, "word": "if", "probability": 0.288330078125}, {"start": 1271.0, "end": 1271.32, "word": " they", "probability": 0.939453125}, {"start": 1271.32, "end": 1271.94, "word": " have", "probability": 0.9609375}, {"start": 1271.94, "end": 1273.96, "word": " exactly", "probability": 0.93701171875}, {"start": 1273.96, "end": 1277.48, "word": " exactly", "probability": 0.2476806640625}, {"start": 1277.48, "end": 1278.8, "word": " the", "probability": 0.89501953125}, {"start": 1278.8, "end": 1279.62, "word": " same", "probability": 0.91357421875}, {"start": 1279.62, "end": 1283.06, "word": " solutions", "probability": 0.90087890625}, {"start": 1283.06, "end": 1284.36, "word": " درجع", "probability": 0.5732421875}, {"start": 1284.36, "end": 1284.74, "word": " لكلام", "probability": 0.8365885416666666}, {"start": 1284.74, "end": 1284.86, "word": " اللي", "probability": 0.903076171875}, {"start": 1284.86, "end": 1285.02, "word": " احنا", "probability": 0.8761393229166666}, {"start": 1285.02, "end": 1285.52, "word": " كاتبينه", "probability": 0.9392578125}, {"start": 1285.52, "end": 1285.72, "word": " هذا", "probability": 0.49072265625}, {"start": 1285.72, "end": 1286.06, "word": " مرة", "probability": 0.909912109375}, {"start": 1286.06, "end": 1286.4, "word": " تانية", "probability": 0.9791666666666666}, {"start": 1286.4, "end": 1286.58, "word": " يا", "probability": 0.267822265625}, {"start": 1286.58, "end": 1286.98, "word": " بنات", "probability": 0.90478515625}, {"start": 1286.98, "end": 1287.96, "word": " يبقى", "probability": 0.9091796875}, {"start": 1287.96, "end": 1288.44, "word": " شوية", "probability": 0.9148763020833334}, {"start": 1288.44, "end": 1289.14, "word": " تعريف", "probability": 0.9930013020833334}, {"start": 1289.14, "end": 1289.64, "word": " وبها", "probability": 0.80419921875}, {"start": 1289.64, "end": 1290.06, "word": " ننهي", "probability": 0.9534912109375}, {"start": 1290.06, "end": 1290.38, "word": " الجزء", "probability": 0.9801432291666666}, {"start": 1290.38, "end": 1290.8, "word": " النظري", "probability": 0.87841796875}, {"start": 1290.8, "end": 1291.22, "word": " وبعدين", "probability": 0.6190592447916666}, {"start": 1291.22, "end": 1291.74, "word": " نبدأ", "probability": 0.6083984375}, {"start": 1291.74, "end": 1292.18, "word": " ناخد", "probability": 0.86669921875}, {"start": 1292.18, "end": 1292.88, "word": " أمثلة", "probability": 0.947021484375}, {"start": 1292.88, "end": 1294.72, "word": " التعريف", "probability": 0.9613037109375}, {"start": 1294.72, "end": 1294.92, "word": " يقول", "probability": 0.78271484375}, {"start": 1294.92, "end": 1295.1, "word": " ال", "probability": 0.58837890625}, {"start": 1295.1, "end": 1295.46, "word": " system", "probability": 0.72802734375}, {"start": 1295.46, "end": 1296.12, "word": " المجموعة", "probability": 0.97529296875}, {"start": 1296.12, "end": 1296.6, "word": " المعادلة", "probability": 0.9007568359375}, {"start": 1296.6, "end": 1296.74, "word": " اللي", "probability": 0.923828125}, {"start": 1296.74, "end": 1296.94, "word": " كنا", "probability": 0.985595703125}, {"start": 1296.94, "end": 1297.66, "word": " كاتبينها", "probability": 0.97109375}, {"start": 1297.66, "end": 1298.24, "word": " قبل", "probability": 0.99658203125}, {"start": 1298.24, "end": 1299.1, "word": " قليل", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 50, "seek": 131467, "start": 1299.27, "end": 1314.67, "text": "لو أخدت المعاملات بس و حطيتهم في مصوفة بجهد المصوفة بسميها coefficient matrix of the system يعني اللي هم مصوفة المعاملات لهذا النظام", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 9673, 3615, 10943, 1211, 9307, 4724, 3794, 4032, 11331, 9566, 36081, 16095, 8978, 3714, 9381, 38688, 3660, 4724, 7435, 3224, 3215, 9673, 9381, 38688, 3660, 4724, 38251, 1829, 11296, 17619, 8141, 295, 264, 1185, 37495, 22653, 13672, 1829, 8032, 2304, 3714, 9381, 38688, 3660, 9673, 3615, 10943, 1211, 9307, 46740, 15730, 28239, 19913, 10943], "avg_logprob": -0.16137295081967212, "compression_ratio": 1.445945945945946, "no_speech_prob": 0.0, "words": [{"start": 1299.27, "end": 1299.83, "word": "لو", "probability": 0.7880859375}, {"start": 1299.83, "end": 1300.31, "word": " أخدت", "probability": 0.796875}, {"start": 1300.31, "end": 1301.13, "word": " المعاملات", "probability": 0.978515625}, {"start": 1301.13, "end": 1301.51, "word": " بس", "probability": 0.7225341796875}, {"start": 1301.51, "end": 1301.65, "word": " و", "probability": 0.958984375}, {"start": 1301.65, "end": 1302.27, "word": " حطيتهم", "probability": 0.7418212890625}, {"start": 1302.27, "end": 1302.47, "word": " في", "probability": 0.9482421875}, {"start": 1302.47, "end": 1303.11, "word": " مصوفة", "probability": 0.7188720703125}, {"start": 1303.11, "end": 1303.59, "word": " بجهد", "probability": 0.7479248046875}, {"start": 1303.59, "end": 1304.47, "word": " المصوفة", "probability": 0.9808349609375}, {"start": 1304.47, "end": 1305.37, "word": " بسميها", "probability": 0.9429931640625}, {"start": 1305.37, "end": 1305.89, "word": " coefficient", "probability": 0.376708984375}, {"start": 1305.89, "end": 1307.15, "word": " matrix", "probability": 0.94580078125}, {"start": 1307.15, "end": 1307.67, "word": " of", "probability": 0.9658203125}, {"start": 1307.67, "end": 1307.85, "word": " the", "probability": 0.83056640625}, {"start": 1307.85, "end": 1308.31, "word": " system", "probability": 0.951171875}, {"start": 1308.31, "end": 1309.09, "word": " يعني", "probability": 0.859619140625}, {"start": 1309.09, "end": 1309.43, "word": " اللي", "probability": 0.94677734375}, {"start": 1309.43, "end": 1310.37, "word": " هم", "probability": 0.77587890625}, {"start": 1310.37, "end": 1311.87, "word": " مصوفة", "probability": 0.9373779296875}, {"start": 1311.87, "end": 1312.95, "word": " المعاملات", "probability": 0.994921875}, {"start": 1312.95, "end": 1313.77, "word": " لهذا", "probability": 0.950927734375}, {"start": 1313.77, "end": 1314.67, "word": " النظام", "probability": 0.9866536458333334}], "temperature": 1.0}, {"id": 51, "seek": 133566, "start": 1315.1, "end": 1335.66, "text": "لو جيت مصوفة المعاملة أضفت لها عمود واحد فقط هو عمود الثوابت يبقى بسميها الـ Augmented Matrix يعني المصوفة الموسعة يعني أضفناها عمود فوسعناها شوية من هما سميت المصوفة الموسعة تمام؟ دي التعريف الثاني", "tokens": [1211, 2407, 10874, 36081, 3714, 9381, 38688, 3660, 9673, 3615, 10943, 37977, 5551, 11242, 5172, 2655, 5296, 11296, 6225, 2304, 23328, 36764, 24401, 6156, 47432, 31439, 6225, 2304, 23328, 6024, 104, 14407, 3555, 2655, 7251, 3555, 4587, 7578, 4724, 38251, 1829, 11296, 2423, 39184, 6088, 14684, 36274, 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"temperature": 1.0}, {"id": 75, "seek": 181151, "start": 1792.09, "end": 1811.51, "text": "و System هذا فيه equations وهذا فيه equations لكن بيختلفوا عن بعض المعادلتين غير المعادلتين لكن نفسي المجاهيل و نفسي المعادلتين معادلتين تلاتة تلاتة عشرة عشرة و هكذا بيقول لي two systems of equations are said to be equivalent", "tokens": [2407, 8910, 23758, 8978, 3224, 11787, 37037, 15730, 8978, 3224, 11787, 44381, 4724, 1829, 46456, 46538, 14407, 18871, 45030, 11242, 9673, 3615, 18513, 1211, 2655, 9957, 32771, 13546, 9673, 3615, 18513, 1211, 2655, 9957, 44381, 8717, 36178, 1829, 9673, 7435, 40294, 26895, 4032, 8717, 36178, 1829, 9673, 3615, 18513, 1211, 2655, 9957, 20449, 18513, 1211, 2655, 9957, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6225, 8592, 25720, 6225, 8592, 25720, 4032, 8032, 4117, 15730, 4724, 1829, 39648, 32239, 732, 3652, 295, 11787, 366, 848, 281, 312, 10344], "avg_logprob": -0.18363764580715908, "compression_ratio": 1.8702702702702703, "no_speech_prob": 0.0, "words": 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b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_O3Qrzgzn80.srt new file mode 100644 index 0000000000000000000000000000000000000000..bdb8cb03d222cdfde86879e4431c005d4bdeb9f2 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_O3Qrzgzn80.srt @@ -0,0 +1,1355 @@ +1 +00:00:19,470 --> 00:00:23,070 +بسم الله الرحمن الرحيم المرة التي فاتت أنت يا أنا + +2 +00:00:23,070 --> 00:00:26,350 +من section ثلاثة اثنين الذي كان يتحدث عن ال + +3 +00:00:26,350 --> 00:00:32,550 +subspaces الفضاءات الجزئية الاتجاهية والآن ننتقل + +4 +00:00:32,870 --> 00:00:38,350 +إلى الموضوع الجديد الذي هو linear dependence الاستقلال + +5 +00:00:38,350 --> 00:00:42,790 +الخطي وفيه كمان linear independence الذي هو + +6 +00:00:42,790 --> 00:00:46,870 +الاستقلال الخطي وlinear dependence الاعتماد الخطي + +7 +00:00:46,870 --> 00:00:49,750 +يبقى العنوان الذي نحن كاتبينه فوق linear + +8 +00:00:49,750 --> 00:00:54,870 +dependence الاعتماد الخطي والجزء الثاني الذي هو + +9 +00:00:54,870 --> 00:00:56,370 +linear independence + +10 +00:01:02,960 --> 00:01:08,080 +سنعطي تعريف لكل من الاعتماد الخطي والاستقلال الخطي + +11 +00:01:08,080 --> 00:01:14,360 +ثم بعد ذلك نأخذ أمثلة على ذلك، التعريف الأول يقول + +12 +00:01:14,360 --> 00:01:21,220 +let V be a vector space يبقى نحن في عيننا ضائعون + +13 +00:01:21,220 --> 00:01:26,040 +في اتجاه VThe finite vectors، العدد المحدود من + +14 +00:01:26,040 --> 00:01:32,020 +المتجهات V1 وV2 ولغاية VM الموجودة في VR6 يكون + +15 +00:01:32,020 --> 00:01:37,160 +linearly dependent، يقول معتمدة على بعضها اعتمادا + +16 +00:01:37,160 --> 00:01:44,890 +خطياً إذا وجدت ثوابت C1 وC2 وCM أو أعداد حقيقية + +17 +00:01:44,890 --> 00:01:48,650 +موجودة في الـ set of real numbers not all zeros + +18 +00:01:48,650 --> 00:01:55,110 +such that بحيث أن C1 V1 زائد C2 V2 زائد CM VM بدها + +19 +00:01:55,110 --> 00:02:00,630 +يساوي صفر بدها تساوي Zero يبقى أنا جئت على ال + +20 +00:02:00,630 --> 00:02:05,790 +vector space أخذت منه مجموعة من ال vectors هذه الـ + +21 +00:02:05,790 --> 00:02:11,490 +vectors بقول عنها معتمدة على بعض اعتمادا خطياً إذا + +22 +00:02:11,490 --> 00:02:17,030 +جدرت ألاقي ثوابت ليست كلها zero على الأقل بدها يكون لو + +23 +00:02:17,030 --> 00:02:22,990 +مقدار ثابت واحد يكون لا يساوي zero بحيث C1V1 زائد + +24 +00:02:22,990 --> 00:02:29,430 +C2V2 زائد CMVM كله بدها تساوي مين؟ بدها تساوي zero طبعاً + +25 +00:02:29,430 --> 00:02:32,670 +سأعود لهذا التعريف مرة ثانية، بس خلينا نأخذ التعريف + +26 +00:02:32,670 --> 00:02:37,530 +الثاني حتى نلاحظ الفرق ما بين الاثنين، التعريف + +27 +00:02:37,530 --> 00:02:41,290 +الثاني يقول the finite vectors من V1 لغاية VM + +28 +00:02:41,290 --> 00:02:45,530 +التي موجودة في ال vector space V بقول عنهم + +29 +00:02:45,530 --> 00:02:51,190 +linearly independent يبقى مستقلة عن بعضها استقلالاً + +30 +00:02:51,190 --> 00:02:58,300 +خطياً إذا كان عندي C1 V1 زائد C2 V2 زائد Cm Vm بدها + +31 +00:02:58,300 --> 00:03:03,280 +تساوى صفر We must have لازم ألاقي أنه C1 يساوي C2 + +32 +00:03:03,280 --> 00:03:08,920 +يساوي يساوي Cm بدها تساوي صفر، خليني أسأل التساؤل + +33 +00:03:08,920 --> 00:03:16,360 +التالي: هل هناك فرق بين التعريفين المكتوب أمامي؟ + +34 +00:03:16,360 --> 00:03:19,800 +بالتأكيد في فرق بين الاثنين، والآن من كرر تكرار + +35 +00:03:23,050 --> 00:03:29,250 +في الحالة الأولى للاعتماد الخطي للمتجهات بقول + +36 +00:03:29,250 --> 00:03:35,660 +يعتمدوا على بعض خطياً لو قدرت ألاقي ثوابت، ممكن يكون + +37 +00:03:35,660 --> 00:03:40,280 +بعضها أصفار، وممكن يكون بعضها ليس أصفار، وممكن يكون ليس فيه + +38 +00:03:40,280 --> 00:03:44,440 +فيهم ولا Zero بحيث أضرب constant في الأول زائد + +39 +00:03:44,440 --> 00:03:46,460 +constant في الثانية زائد constant في الثانية يطلع + +40 +00:03:46,460 --> 00:03:51,160 +النتج يساوي صفر، إن حدث ذلك بقول هذه ال vectors من + +41 +00:03:51,160 --> 00:03:56,520 +v1 لغاية vm are linearly dependent يعني معتمدة + +42 +00:03:56,520 --> 00:04:01,220 +على بعض خطياً، هذا تعريف الأول، التعريف الثاني لو جئت + +43 +00:04:01,220 --> 00:04:05,900 +على ال vectors وجبت ثوابت وضربتها فيهم وجمعت + +44 +00:04:05,900 --> 00:04:11,560 +لجيت النتج يساوي zero إن قدرت أثبت أن c1 يساوي c2 + +45 +00:04:11,560 --> 00:04:16,060 +يساوي cm يساوي zero إذا بيكون هذول مستقلات عن بعض + +46 +00:04:16,060 --> 00:04:21,200 +خطياً linearly independent، لكن إذا لجيت ولا واحد + +47 +00:04:21,200 --> 00:04:27,020 +فيهم يساوي zero إذا هذول معتمدات وليست مستقلات عن + +48 +00:04:27,020 --> 00:04:31,400 +بعضها، واضح كلامي؟ يبقى أنا لو أعطاني مجموعة من ال + +49 +00:04:31,400 --> 00:04:34,440 +vectors وقال لي شوف لي هدول are linearly dependent + +50 +00:04:34,440 --> 00:04:38,840 +ولا linearly independent، بدي أضرب كل صندوق في + +51 +00:04:38,840 --> 00:04:41,600 +الأول وكل صندوق في الثاني و .. و .. و .. كل صندوق + +52 +00:04:41,600 --> 00:04:47,600 +في الأخير وأجمع وأروح أجيب قيم هذه الثوابت، تطلع + +53 +00:04:47,600 --> 00:04:53,760 +قيم هذه الثوابت ليست أصفار، يعني ليست كلها أصفار، يبقى + +54 +00:04:53,760 --> 00:04:56,500 +بيصيروا ال vectors هذه linearly independent + +55 +00:04:56,500 --> 00:05:00,720 +وانطلعت الثوابت كلها أصفار، يبقى يقول linearly + +56 +00:05:00,720 --> 00:05:05,750 +independent، طيب تعال نشوف Determine whether the + +57 +00:05:05,750 --> 00:05:08,810 +following vectors are linearly-dependent or + +58 +00:05:08,810 --> 00:05:13,390 +linearly-independent، Ld اختصار لـ linearly + +59 +00:05:13,390 --> 00:05:18,390 +-dependent، وLi اختصار لـ linearly-independent + +60 +00:05:18,390 --> 00:05:22,710 +ومعطيني مجموعة من ال vectors، الأولى موجودة في R3 + +61 +00:05:22,710 --> 00:05:28,150 +ومجموعة ثانية موجودة في R4، يبقى هذول كانوا مسألتين + +62 +00:05:28,150 --> 00:05:34,420 +مستقلين عن بعض خطئين، هل المجموعة الأولى مستقلة عن + +63 +00:05:34,420 --> 00:05:40,060 +بعض خطياً؟ والله معتمدة على بعض خطياً، فبقى أقول له + +64 +00:05:40,060 --> 00:05:44,720 +assume that + +65 +00:05:44,720 --> 00:05:56,110 +there exist c1 و c2 و c3 in R such that بحيث أن الـ + +66 +00:05:56,110 --> 00:06:04,930 +C1 V1 زائد C2 V2 زائد C3 V3 بدها تساوي 0، والآن بعد + +67 +00:06:04,930 --> 00:06:11,830 +هيك بتروح ابحث قيم C1 وC2 وC3، التي والله يطلع + +68 +00:06:11,830 --> 00:06:17,400 +كلها أصفار، بقول هذول linearly independent، بطلع بقيم + +69 +00:06:17,400 --> 00:06:20,820 +عددية، بقول linearly dependent وبالتالي بكون + +70 +00:06:20,820 --> 00:06:25,660 +انتهينا من السؤال، يبقى أنا بدي أضرب C في V واحد + +71 +00:06:25,660 --> 00:06:30,300 +يبقى C واحد V واحد زائد C اثنين V اثنين زائد C + +72 +00:06:30,300 --> 00:06:35,020 +ثلاثة V ثلاثة يساوي، بدي أضرب C واحد في القوس الأول + +73 +00:06:35,020 --> 00:06:42,020 +يبقاش بصير، أنا بنقطع اثنين، C واحد و C واحد وسالب + +74 +00:06:42,020 --> 00:06:52,460 +C واحد زائد الثاني بدي أضرب فيه C2 يبقى 2C2 و-3C2 و + +75 +00:06:52,460 --> 00:07:02,180 +-2C2 زائد القوس الثالث الذي هو 2C3 + +76 +00:07:02,180 --> 00:07:05,260 +و3C3 + +77 +00:07:06,040 --> 00:07:12,020 +ثلاثة C ثلاثة وسبعة C ثلاثة، كل هذا الكلام يجب أن + +78 +00:07:12,020 --> 00:07:17,440 +يساوي كم؟ يجب أن يساوي Zero، هؤلاء المجموع ثلاثة + +79 +00:07:17,440 --> 00:07:22,360 +عناصر، يجب أن أجمعهم وأجعلهم عنصراً واحداً، يبقى لو + +80 +00:07:22,360 --> 00:07:27,600 +أجعلهم عنصراً واحداً يصير هذا الكلام يساوي اثنين C + +81 +00:07:27,600 --> 00:07:32,700 +واحد، المركبة الأولى مع المركبة الأولى مع المركبة + +82 +00:07:32,700 --> 00:07:40,570 +الأولى، هناك، بعد ذلك المركبة الثانية، C1-3C2 + +83 +00:07:40,570 --> 00:07:52,490 +زائد 3C3، المركبة الثالثة ناقص C1 وناقص C1 ناقص + +84 +00:07:52,490 --> 00:08:02,780 +2C2 زائد 7C3، جمعنا كله بدها تساوي 000، الآن نعمل + +85 +00:08:02,780 --> 00:08:07,120 +مقارنة ما بين الطرفين، يبقى بناء عليه بصير اثنين C + +86 +00:08:07,120 --> 00:08:11,400 +واحد، اثنين C اثنين، اثنين C ثلاثة، يساوي Zero + +87 +00:08:11,400 --> 00:08:16,860 +المعادلة الأولى، المعادلة الثانية، C واحد نقص ثلاثة + +88 +00:08:16,860 --> 00:08:21,880 +C اثنين زائد ثلاثة C ثلاثة يساوي Zero، المعادلة + +89 +00:08:21,880 --> 00:08:28,860 +الثالثة، سالب C واحد، سالب اثنين C اثنين زائد سبعة C + +90 +00:08:28,860 --> 00:08:35,700 +ثلاثة كله يساوي 100 يساوي 0، هذا ال system لا نسميه + +91 +00:08:35,700 --> 00:08:40,860 +homogeneous system، يمكن ننتقل الآن من vectors إلى + +92 +00:08:40,860 --> 00:08:44,360 +homogeneous system، بدنا نروح ندور على حل ال + +93 +00:08:44,360 --> 00:08:47,860 +homogeneous system هذا بأي طريقة من الطرق التي + +94 +00:08:47,860 --> 00:08:52,700 +سبقت دراستها، باجي بقول هذا ال system بقدر أكتبه + +95 +00:08:52,700 --> 00:08:57,500 +على الشكل التالي، في مشكلة لو ضربت المعادلة الأولى + +96 +00:08:57,500 --> 00:09:05,520 +على اثنين، الأولى ضربتها كلها في حاجة ما فيش مشكلة إذا + +97 +00:09:05,520 --> 00:09:10,600 +بقدر أكتب ال system هذا مرة أخرى على الشكل التالي + +98 +00:09:10,600 --> 00:09:20,660 +C1 زائد C2 زائد C3 يساوي Zero، C1 نقص 3 C2 زائد 3 + +99 +00:09:20,660 --> 00:09:30,000 +C3 يساوي Zero، نقص C1 نقص 2 C2 زائد 7 C3 يساوي Zero + +100 +00:09:31,520 --> 00:09:36,280 +أريد أن أحل هذا الـ system بالـ row echelon form + +101 +00:09:36,280 --> 00:09:40,620 +مثلاً، تمام؟ إذا أذهب وأحصل على الـ augmented + +102 +00:09:40,620 --> 00:09:45,840 +matrix، إذا جئت إلى الـ augmented matrix، واحد واحد + +103 +00:09:45,840 --> 00:09:53,040 +واحد وهنا Zero، الذي بعده واحد ناقص ثلاثة ثلاثة + +104 +00:09:53,040 --> 00:10:00,260 +Zero، سالب واحد سالب اثنين سبعة Zero، بالشكل الذي + +105 +00:10:00,260 --> 00:10:07,850 +عندنا هنا، إذا أنا ممكن أعمل ما يأتي: ناقص R1 to R2 + +106 +00:10:07,850 --> 00:10:10,950 +وR1 + +107 +00:10:10,950 --> 00:10:19,670 +to R3، نحصل على ما يأتي، هاي واحد واحد واحد Zero، صف + +108 +00:10:19,670 --> 00:10:27,410 +الذي بعده Zero، سالب أربعة هنا ضربنا في سالب واحد + +109 +00:10:27,410 --> 00:10:35,060 +بضرب جدوش اثنين، هنا Zero كما هو إضافة يبقى Zero + +110 +00:10:35,060 --> 00:10:41,560 +وهنا سالب واحد وهنا ثمانية وهنا Zero بالشكل الذي + +111 +00:10:41,560 --> 00:10:45,460 +عندنا ده الآن + +112 +00:10:45,460 --> 00:10:51,560 +مضاجي إلى المعادلة التي عندنا هذه هنا ثلاثة وهنا + +113 +00:10:51,560 --> 00:11:02,140 +مظبوط صحيح، يبقى أنا هنا ممكن أرتب الأرواح، طيب تيجي + +114 +00:11:02,140 --> 00:11:10,700 +بتنفع تنفع ليش لا؟ ولا هم هاي R ثلاثة ل R واحد، طب + +115 +00:11:10,700 --> 00:11:16,940 +أنا ممكن آخذ نصف هذه أو آخذ ناقص نصف في الأول يعني + +116 +00:11:16,940 --> 00:11:23,180 +ممكن أقول بدي آخذ ناقص نصف، عارية اثنين، الشكل الذي + +117 +00:11:23,180 --> 00:11:29,850 +عندنا هنا، يبقى يصبح على الشكل التالي، رابع ناقص رابع + +118 +00:11:29,850 --> 00:11:33,990 +أقراري اثنين، يبقى لو أخذت ناقص رابع أقراري اثنين + +119 +00:11:33,990 --> 00:11:41,330 +بصير واحد واحد زيرو وهنا زيرو وهنا واحد وهنا ناقص + +120 +00:11:41,330 --> 00:11:48,370 +نصف وهنا زيرو وهنا زيرو وهنا سالب واحد ثمانية وهي + +121 +00:11:48,370 --> 00:11:54,630 +زيرو، الآن أعمل ما يأتي، أقول هذا السهم الذي عندنا + +122 +00:11:54,630 --> 00:12:05,550 +إذا بدي آخذ ناقص R2 to R1 وبدي آخذ R2 to R3 مرة + +123 +00:12:05,550 --> 00:12:13,170 +واحدة لـ R3، يبقى بدي أحصل ما يأتي، هذا واحد وهنا + +124 +00:12:13,170 --> 00:12:20,590 +zero وهنا بيصير ذات بيصير هذا ثلاثة على اثنين وهنا + +125 +00:12:20,590 --> 00:12:28,890 +Zero وهنا واحد وهنا ناقص نصف وهنا Zero وهنا Zero + +126 +00:12:28,890 --> 00:12:34,070 +وهنا سبعة على اثنين، يعني خمسة عشر على اثنين، سبعة و + +127 +00:12:34,070 --> 00:12:40,970 +نصف، يعني خمسة عشر على اثنين وهنا Zero Zero Zero + +128 +00:12:40,970 --> 00:12:49,830 +بالشكل الذي عندنا، بناء عليه بقدر أقول ما يأتي من + +129 +00:12:49,830 --> 00:12:58,580 +هذه خلاص، يعني بقدر أقول هنا الذي هو خمسة عشر على + +130 +00:12:58,580 --> 00:13:04,060 +اثنين C ثلاثة بدها تساوي Zero، يبقى C ثلاثة بدها + +131 +00:13:04,060 --> 00:13:11,440 +تساوي Zero، الآن C اثنين ناقص نصف C ثلاثة بدها تساوي + +132 +00:13:11,440 --> 00:13:16,960 +مين؟ بدها تساوي Zero، C ثلاثة ب Zero، هذا معناه أنه + +133 +00:13:16,960 --> 00:13:23,300 +C اثنين بدها تساوي Zero، الآن C واحد زائد ثلاثة على + +134 +00:13:23,300 --> 00:13:28,500 +اثنين C ثلاثة بدها تساوي Zero، هذا بدي أخبرك أن C + +135 +00:13:28,500 --> 00:13:36,240 +واحد بدها تساوي Zero، يبدو + +136 +00:13:36,240 --> 00:13:41,740 +في خطأ عندنا يا بنات استني شوية هنا هذا واحد، سالب + +137 +00:13:41,740 --> 00:13:48,520 +هنا واحد، من وين جتني الناقص هذه؟ هذه + +138 +00:13:50,060 --> 00:14:02,380 +هذه ناقص C1، هذه ناقص C1، هذه ناقص C1، هذه ناقص C1 + +139 +00:14:02,380 --> 00:14:11,800 +هذه ناقص C1، هذه ناقص + +140 +00:14:11,800 --> 00:14:17,880 +C1، هذه ناقص C1، هذه ناقص C1، والله يصلحوه يا بنات + +141 +00:14:17,880 --> 00:14:25,180 +اثنين ناقص واحد واحد، والذي بعده اثنين هو ناقص + +142 +00:14:25,180 --> 00:14:31,500 +ثلاثة ناقص اثنين اثنين، ثلاثة سبعة، بناء عليه يصير + +143 +00:14:31,500 --> 00:14:41,920 +هذه بما يأتي اثنين وهذه ناقص C واحد، يبقى ناقص C1 + +144 +00:14:41,920 --> 00:14:48,000 +وزائد C1، والباقي كله سليم، لما جينا جمعنا صار اثنين + +145 +00:14:48,000 --> 00:14:58,360 +C1، يبقى صار هذه الثانية التي هو سالب C1 وسالب + +146 +00:14:58,360 --> 00:15:08,520 +ثلاثة C2 زائد ثلاثة C3، مظبوط، والذي بعده موجب C1 + +147 +00:15:08,520 --> 00:15:14,300 +والباقي سليم، خلي بالكوا هنا صارت هذه المعادلة 2 2 + +148 +00:15:14,300 --> 00:15:21,980 +2، مظبوطة، هذه ناقص C1 وهذه ناقص 3 وهذه زائد 3، والذي + +149 +00:15:21,980 --> 00:15:31,520 +بعدها زائد C1 ناقص 2 C2 زائد 7 C3، إذا صارت هذه زي + +150 +00:15:31,520 --> 00:15:39,320 +ما هي هذه، ناقص هذه ناقص وهذه ناقص وهذه ثلاثة وهذه + +151 +00:15:39,320 --> 00:15:46,340 +زائد C واحد وهذه زي ما هي، تمام، طيب إذا بدنا نيجي + +152 +00:15:46,340 --> 00:15:51,820 +المعادلة واحد واحد واحد، مظبوطة، هذه ناقص ناقص زائد + +153 +00:15:51,820 --> 00:15:59,970 +هذه زائد، والذي بعدها كما هو، بناء عليه بدي أقول هنا + +154 +00:15:59,970 --> 00:16:08,790 +R1 to R2 وسالب R1 to R3، بدي أصبح أن هذا مظبوط + +155 +00:16:08,790 --> 00:16:14,570 +يبقى هذا بدي أضيفه، بدي أصبح هذا سالب 2، لما أضيف + +156 +00:16:14,570 --> 00:16:22,270 +إضافة، وهذا سيصبح أربعة وهذا زيرو، هذا سيصبح سالب أو + +157 +00:16:22,270 --> 00:16:27,030 +أربعة أو اثنين ثلاثة، زيرو، سالب سيصبح هذا سالب + +158 +00:16:27,030 --> 00:16:36,970 +ثلاثة، وهذا سيصبح ستة، هذه ستة، والباقي زيرو، هذا بدل + +159 +00:16:36,970 --> 00:16:44,920 +الربع ناقص نصف، ناقص نصف، يبقى هذا زي ما هو، وهذا يصبح + +160 +00:16:44,920 --> 00:16:52,660 +واحد، وهذا ناقص اثنين لأن أنا أخذنا ناقص نصف، يبقى + +161 +00:16:52,660 --> 00:16:57,920 +هذا ناقص اثنين، وهذا زيرو، والباقي كما هو، ما عدا هذا + +162 +00:16:57,920 --> 00:17:04,960 +يصبح سالب ثلاثة، وهذا يصبح ستة، يبقى ايش بدها تصير + +163 +00:17:04,960 --> 00:17:12,600 +عندنا الآن؟ بدها أضيف سالب R2 to R1، مظبوط، وثلاثة + +164 +00:17:12,600 --> 00:17:19,280 +R2 to R3، ماشي الحال، يبقى ايش بدها تصير عندنا؟ بدها + +165 +00:17:19,280 --> 00:17:26,350 +تصير كالتالي، العمود الأول زي ما هو، والعمود الثاني + +166 +00:17:26,350 --> 00:17:32,250 +سالب سيصبح فوق 0، والذي تحت 3 سيصبح 0، العمود + +167 +00:17:32,250 --> 00:17:42,560 +الثالث الآن، سالب R2 to R1 سيصبح هنا 3 وهنا سالب + +168 +00:17:42,560 --> 00:17:48,120 +اثنين زي ما هي، وهنا بدي أضيف ثلاثة في اثنين سالب + +169 +00:17:48,120 --> 00:17:55,540 +ستة بيصير zero، وهذه كمان zero، مظبوط 100%، إذا تغ + +201 +00:22:20,350 --> 00:22:25,770 +زائد C3 زائد + +202 +00:22:25,770 --> 00:22:34,410 +C3 زائد + +203 +00:22:34,410 --> 00:22:44,280 +C3 زائد الثاني اللي هو C2 زائد C3 بده يساوي 0 + +204 +00:22:44,280 --> 00:22:53,420 +الثالث C1 زائد C2 زائد C3 بده يساوي 0 الثالث 2C1 + +205 +00:22:53,420 --> 00:23:01,220 +2C2 + 3C3 بده يساوي كده؟ بده يساوي 0 + +206 +00:23:03,560 --> 00:23:09,920 +طيب لو جينا ضربنا يا بنات هذول المعادلتين في سالب + +207 +00:23:09,920 --> 00:23:16,660 +بإثنين يبقاش بصير سالب بإثنين C واحد سالب سالب + +208 +00:23:16,660 --> 00:23:21,900 +اللي هو 2C2 سالب بإثنين C3 بده يساوي + +209 +00:23:21,900 --> 00:23:27,480 +Zero هنا 2C1 زائد 2C2 زي + +210 +00:23:27,480 --> 00:23:32,180 +3C3 بده يساوي Zero وجمعنا هدول مع + +211 +00:23:32,180 --> 00:23:38,680 +السلامة يبقى هذا بيظل عندي C3 لحاله بده يساوي Zero + +212 +00:23:38,680 --> 00:23:45,020 +لما C3 يساوي Zero C2 بقد إيش ب Zero هذا بده يعطينا + +213 +00:23:45,020 --> 00:23:53,580 +أنه C2 يساوي Zero لما C3 يساوي Zero وكذلك C1 بده + +214 +00:23:53,580 --> 00:23:57,080 +يساوي Zero يبقى أصبح C1 + +215 +00:24:13,010 --> 00:24:16,730 +يبقى هذا مثال على الـ linearly dependent والـ + +216 +00:24:16,730 --> 00:24:19,610 +linearly independent vectors + +217 +00:24:53,500 --> 00:24:57,140 +بنجي الآن لنظرية على هذا الموضوع نظرية بتقول ما + +218 +00:24:57,140 --> 00:25:03,400 +يأتي theorem the + +219 +00:25:03,400 --> 00:25:07,620 +set اللي + +220 +00:25:07,620 --> 00:25:20,980 +هي V1 و V2 و VM is linearly dependent if and only + +221 +00:25:20,980 --> 00:25:28,400 +if at least one + +222 +00:25:28,400 --> 00:25:35,100 +element of + +223 +00:25:35,100 --> 00:25:44,760 +the set is a linear combination + +224 +00:25:48,820 --> 00:25:51,460 +معظم الآخرين + +225 +00:26:10,130 --> 00:26:14,770 +نرجع لنص النظرية ثانية نقرأ النص نحاول نفهم هذا + +226 +00:26:14,770 --> 00:26:20,410 +النص فاهماً صحيحاً ثم نذهب إلى برهنة هذه النظرية + +227 +00:26:20,410 --> 00:26:25,710 +النظرية بتقول the set of vectors V1 و V2 و لغاية + +228 +00:26:25,710 --> 00:26:29,790 +VM اللي موجودة في vector space V linearly + +229 +00:26:29,790 --> 00:26:34,990 +dependent if and only if at least one element of + +230 +00:26:34,990 --> 00:26:39,370 +the set is a linear combination of the others يبقى + +231 +00:26:39,370 --> 00:26:43,150 +احنا جينا على vector space أخذنا منه مجموعة من ال + +232 +00:26:43,150 --> 00:26:47,870 +vectors هيها قدامي البرهان بدي يصير في اتجاهين لأن + +233 +00:26:47,870 --> 00:26:52,510 +في موجود عنده إيش if and only if يعني لو كان هذا + +234 +00:26:52,510 --> 00:26:56,570 +معطيات هذا مطلوب والعكس لو كان هذا مطلوب بدي يكون + +235 +00:26:56,570 --> 00:27:00,550 +هذا إيه معطيات إيه ده البرهان بدي يصير في اتجاهين + +236 +00:27:00,550 --> 00:27:05,700 +يبقى بدي أفترض أولاً إن هدول ما لهم Linearly + +237 +00:27:05,700 --> 00:27:10,760 +Dependent ومن خلالهم اروح أثبت أنه أي vector من + +238 +00:27:10,760 --> 00:27:15,600 +هدول Linear Combination للآخرين يعني أي vector من + +239 +00:27:15,600 --> 00:27:19,780 +هدول بقدر أكتبه على صيغة Linear Combination من + +240 +00:27:19,780 --> 00:27:25,640 +باقية من ال vectors الأخرى تبعات هذه الست يبقى بدأ + +241 +00:27:25,640 --> 00:27:32,740 +أمشي الاتجاه الأول بداجي أقول اسيوم الذات اللي هو + +242 +00:27:32,740 --> 00:27:40,660 +V1 و V2 و لغاية ال VM are linearly dependent + +243 +00:27:42,680 --> 00:27:46,080 +بالدرجة على تعريف linearly dependent معناته there + +244 +00:27:46,080 --> 00:27:54,100 +exist scalars C1 وC2 وCM موجودات يا ريت not all zero + +245 +00:27:54,100 --> 00:27:59,420 +مش كلهم zero بحيث يكون مجموعهم يسوي قد إيش zero يبقى + +246 +00:27:59,420 --> 00:28:09,010 +هذا معناته there exist scalars اللي هم مين؟ C1 وC2 + +247 +00:28:09,010 --> 00:28:23,050 +وCm in R not all zero مش كلهم زيرو such that بحيث + +248 +00:28:23,050 --> 00:28:33,130 +أن C1 V1 زائد C2 V2 زائد زائد Cm Vm دي ساوي قد إيش؟ + +249 +00:28:33,130 --> 00:28:39,150 +دي ساوي Zero يعني السلسلات يا بنات ممكن يكون بعضهم + +250 +00:28:39,150 --> 00:28:44,230 +أصفار وممكن يكون بعضهم مش أصفار لكن كلهم أصفار + +251 +00:28:44,230 --> 00:28:50,550 +ممنوع على الأقل عندي ولا واحد فقط بيكون هنا لا + +252 +00:28:50,550 --> 00:28:57,690 +يساوي ال Zero تمام؟ إذا بروح آخد واحد منهم وأثبت + +253 +00:28:57,690 --> 00:29:03,970 +أني بقدر أكتبه بدلالة من؟ بدلالة الآخرين فباجي + +254 +00:29:03,970 --> 00:29:14,960 +بقول هنا C I موجود في R and CI not equal to zero + +255 +00:29:14,960 --> 00:29:30,000 +then the vector اللي هو CI VI بده يساوي is ده + +256 +00:29:30,000 --> 00:29:38,670 +ياخد CI VI كيف يعني؟ يعني افترض أن CIV اجاني هنا + +257 +00:29:38,670 --> 00:29:44,230 +في هذا المكان يبقى بده يخليه في مكانه والباقية كله + +258 +00:29:44,230 --> 00:29:47,950 +بده يوديه وين؟ على الشجرة الثانية يبقى إيش بده + +259 +00:29:47,950 --> 00:29:58,270 +يصير هنا؟ بده يساوي سالب C1 V1 سالب C2 V2 سالب ونظل + +260 +00:29:58,270 --> 00:30:05,890 +ماشيين لغاية ما نوصل لسالب C I minus 1 V I + +261 +00:30:05,890 --> 00:30:11,050 +minus ال one من اللي بيجي بعده C I V I هيوا برا + +262 +00:30:11,550 --> 00:30:18,750 +يبقى اللي بده يجي بعده ناقص c i plus 1 v i plus + +263 +00:30:18,750 --> 00:30:25,770 +one زائد زائد لغاية ما نوصل لآخر واحد اللي هو c m v m + +264 +00:30:27,070 --> 00:30:30,570 +يعني اللي في النص هذا ما بين الإثنين خليته + +265 +00:30:30,570 --> 00:30:34,830 +والباقي نجلته وين؟ على الشجة الثانية الآن أنا جاي + +266 +00:30:34,830 --> 00:30:39,590 +لهذا اللي لا يساوي zero إذا بقدر أجسم عليه صحيح + +267 +00:30:39,590 --> 00:30:45,870 +ولا لأ؟ إذا لو جسمت عليه بحصل على VI دي ساوي سالب + +268 +00:30:45,870 --> 00:30:55,520 +C1 على CI في V1 سالب C2 على CI في V2 سالب سالب اللي + +269 +00:30:55,520 --> 00:31:04,740 +هو CI minus 1 على CI في VI minus 1 سالب CI plus 1 + +270 +00:31:04,740 --> 00:31:12,060 +على CI في VI plus 1 طبعاً هنا مش زائد ناقص يا بنات + +271 +00:31:12,060 --> 00:31:20,570 +كله هنا ناقص يبقى هنا ناقص ونظل ماشيين ناقص cm على + +272 +00:31:20,570 --> 00:31:28,030 +ci في ال VM طب إيش رأيكم هذا مقدار ثابت يا بنات و + +273 +00:31:28,030 --> 00:31:35,150 +هذا مقدار ثابت يعني بقدر أقول هذا a1v1 زائد a2v2 + +274 +00:31:35,150 --> 00:31:49,600 +زائد AI-1VI-1 زائد اللي هو AI plus 1 VI plus 1 + +275 +00:31:49,600 --> 00:31:55,900 +زائد زائد اللي هو AMVM + +276 +00:31:55,900 --> 00:32:02,780 +إيش تفسيرك لهذا أن VI linear combination من + +277 +00:32:02,780 --> 00:32:11,460 +الآخرين أظن هو المضطب الأول يبقى هنا this means + +278 +00:32:11,460 --> 00:32:24,260 +that هذا يعني أن ال vi is a linear combination of + +279 +00:32:24,260 --> 00:32:34,300 +the others طيب + +280 +00:32:34,950 --> 00:32:39,990 +بنعمل العملية العكسية بنأخذ واحد فيهم linear + +281 +00:32:39,990 --> 00:32:44,490 +combination من الآخرين ونثبت أن هذه المجموعة + +282 +00:32:44,490 --> 00:32:49,390 +linearly dependent تمام يبقى بالداجي أقول له + +283 +00:32:49,390 --> 00:32:59,830 +conversely conversely يعني بالعكس assume that + +284 +00:33:00,820 --> 00:33:13,440 +VK is a linear combination of + +285 +00:33:13,440 --> 00:33:27,220 +the vectors V1 و V2 و لغاية VK-1 و VK plus 1 + +286 +00:33:27,820 --> 00:33:34,900 +و انظر لمشي لغاية ال VM هذا + +287 +00:33:34,900 --> 00:33:41,740 +Linear Combination من من؟ من هذول تمام الآن أنا + +288 +00:33:41,740 --> 00:33:46,940 +فرضت أن ال vector رقم K من المجموعة اللي عندي هذا + +289 +00:33:46,940 --> 00:33:51,700 +ماله هو vector رقم K هو linear combination من + +290 +00:33:51,700 --> 00:33:57,320 +الآخرين هو النظرية هي is a linear combination of + +291 +00:33:57,320 --> 00:34:01,940 +the other بدي أثبت أن هذه ال vector كلها بما فيها + +292 +00:34:01,940 --> 00:34:07,520 +ال V وK are linearly dependent تمام يبقى assume + +293 +00:34:07,520 --> 00:34:11,180 +that linear combination of the vectors يبقى هذا + +294 +00:34:11,180 --> 00:34:21,880 +معناته أن there exist c1 و c2 و لغاية cm in R such + +295 +00:34:21,880 --> 00:34:22,500 +that + +296 +00:34:25,350 --> 00:34:40,530 +بحيث أن ال VK بده يساوي C1 V1 زائد C2 V2 زائد CK-1 في + +297 +00:34:40,530 --> 00:34:53,590 +VK-1 زائد CK plus 1 في VK plus 1 زائد زائد CMVM + +298 +00:34:58,080 --> 00:35:04,220 +السؤال هو هل أنا حطيت قيود على السيهات هذه؟ قلت + +299 +00:35:04,220 --> 00:35:07,840 +أصفار ولا غير أصفار؟ أبداً، linear cum أصفار ولا + +300 +00:35:07,840 --> 00:35:11,360 +غير أصفار؟ بهلنير، إنما دول scalars موجودات في + +301 +00:35:11,360 --> 00:35:15,280 +أرض وحققوا لمين المعادلة اللي عندنا، طب شو رأيكم + +302 +00:35:15,280 --> 00:35:20,290 +أعملها معادلة صفرية بنفع؟ بنفع طيب يبقى لو روحت + +303 +00:35:20,290 --> 00:35:28,330 +عملتها معادلة صفرية بصير كيف C1 C1 زائد C2 V2 زائد + +304 +00:35:28,330 --> 00:35:36,110 +زائد CK-1 VK-1 هذا اللي بدي أجيبه على الشك الثاني + +305 +00:35:36,110 --> 00:35:42,530 +يا بنات بدي يجي بشرة جدية سالب واحد في ال VK يبقى + +306 +00:35:42,530 --> 00:35:52,660 +هذا سالب واحد في ال VK زائد ck plus 1 vk plus 1 + +307 +00:35:52,660 --> 00:36:02,900 +زائد زائد cm vm كله بده يساوي zero طيب الحين لجيت + +308 +00:36:02,900 --> 00:36:07,920 +إيش لجيت constants not all zero مش عارف أنه not + +309 +00:36:07,920 --> 00:36:13,540 +all zero بقولك اه هاي واحد فيهم بقد إيش بسالب واحد + +310 +00:36:13,540 --> 00:36:23,840 +يبقى هنا so there exist constants in + +311 +00:36:23,840 --> 00:36:29,380 +cnr not all zero + +312 +00:36:34,070 --> 00:36:42,530 +بالتالي CK-1 يبقى هناك إذا أصلاً كانت نقطة أو زيرو + +313 +00:36:42,530 --> 00:36:57,200 +لأن هذا such that بحيث أن c1v1 زائد c2v2 زائد cmvm + +314 +00:36:57,200 --> 00:37:05,380 +بده يساوي zero هذا معناه أن v1 وv2 وvm are + +315 +00:37:05,380 --> 00:37:11,340 +linearly dependent وهو المطلوب حد فيكم بتحب تسأل + +316 +00:37:11,340 --> 00:37:13,240 +أي سؤال في برهان النظرية + +317 +00:37:16,490 --> 00:37:20,770 +برهان النظرية، حد بتحب تسأل أي سؤال؟ إذا ما كنتش + +318 +00:37:20,770 --> 00:37:25,250 +تسأل وأنا بدي أسأل، اه، أيوه + +319 +00:37:30,360 --> 00:37:34,180 +حطينا إيش؟ مش خلينا واحد في ناحية والباقي في + +320 +00:37:34,180 --> 00:37:39,980 +ناحية ثانية كنا نجلناهم يعني بلغة ابتدائي أضفنا + +321 +00:37:39,980 --> 00:37:46,020 +المعكوس الجمعي لكل من ال vectors إلى الطرفين، + +322 +00:37:46,020 --> 00:37:49,620 +تمام؟ وعلى السريع بقولنا نجلناهم علشان جتنا بتجي + +323 +00:37:49,620 --> 00:37:56,020 +بشارة مخالفة، مش هيك؟ في كمان تسأل؟ طيب، بدأ أسأل + +324 +00:37:56,020 --> 00:38:00,060 +السؤال اللي يتتلي أن لو عندي فيه two vectors يا بنات + +325 +00:38:00,060 --> 00:38:05,100 +واحد مضاعفات الثاني واحد نصف الثاني جده مرتين جده + +326 +00:38:05,100 --> 00:38:13,240 +ثلت مرات جده عشر مرات قولي بركوا كويس يعني C1 يساوي + +327 +00:38:13,240 --> 00:38:20,620 +مثلاً خمسة C2 V1 يساوي خمسة V2 هل ال V1 و V2 are + +328 +00:38:20,620 --> 00:38:24,980 +linearly dependent ولا linearly independent؟ + +329 +00:38:27,080 --> 00:38:29,620 +اللي بتعرف ترفع أيضا فوق بس مش هنتناقش أنا و + +330 +00:38:29,620 --> 00:38:37,340 +الباقي يفهم أنا عندي V1 بده يساوي خمسة V2 سؤالي هو + +331 +00:38:37,340 --> 00:38:41,840 +ال V1 و ال V2 هذا linearly dependent ولا linearly + +332 +00:38:41,840 --> 00:38:44,420 +independent ده اللي بتعرف ترفع أيضا فوق مش هنتناقش + +333 +00:38:44,420 --> 00:38:49,300 +احنا وياه أيوه linearly dependent ليش؟ لأن نقدر + +334 +00:38:49,300 --> 00:38:55,380 +نأخذ خمسة V1 نقدر نخلد V1 نعمل تكتر ثاني خمسة V1 + +335 +00:38:56,290 --> 00:39:01,550 +لأنه ممكن ننجلها على الشجة الثانية ويصير V1 ناقص + +336 +00:39:01,550 --> 00:39:07,050 +خمسة V2 يساوي كم؟ Zero. بيصير معامل ال V1 هو V1 + +337 +00:39:07,050 --> 00:39:12,450 +ومعامل ال V2 هو سالب خمسة واثنين not zero وبالتالي + +338 +00:39:12,450 --> 00:39:17,610 +هذول اثنين linearly dependent يبقى يا بنات any two + +339 +00:39:17,610 --> 00:39:21,810 +vectors واحد مضاعفات النص والثلت والربع وناقص خمسة + +340 +00:39:21,810 --> 00:39:26,050 +جد وخمسين مرة كله are linearly dependent هكتبها + +341 +00:39:26,050 --> 00:39:30,910 +لك بصيغة ال remark التالية يبقى خليني امسح الشجة + +342 +00:39:30,910 --> 00:39:33,510 +هذه ونكتب هذه ال remark + +343 +00:39:58,520 --> 00:40:05,460 +remark let v + +344 +00:40:05,460 --> 00:40:19,020 +be a vector space then v1 + +345 +00:40:19,020 --> 00:40:28,800 +و v2 اللي موجودة في v are linearly dependent if and + +346 +00:40:28,800 --> 00:40:41,400 +only if if and only if one is a multiple of + +347 +00:40:41,400 --> 00:40:49,900 +the other واحد فيهم كان مضاعفات الثاني that is + +348 +00:40:53,870 --> 00:41:00,650 +V1 بيساوي CV2 والـ C هذه موجودة في set of real + +349 +00:41:00,650 --> 00:41:05,410 +numbers طبعاً ليش؟ أقول لو نجلت هذه على الشجة هذه و + +350 +00:41:05,410 --> 00:41:10,970 +الله هذه على الشجة هذه بصير اللي هو أحد المعاملات + +351 +00:41:10,970 --> 00:41:15,510 +لا يساوي zero C أنا مش عارف منه قد يكون zero وقد + +352 +00:41:15,510 --> 00:41:19,670 +لا يكون zero بس معامل ال V هو قد إيش واحد صحيح + +353 +00:41:19,670 --> 00:41:22,810 +وبالتالي enough not all zero يبقى هدول linearly + +354 +00:41:22,810 --> 00:41:33,150 +dependent نعطي مثال examples example one لأن بيقول + +355 +00:41:33,150 --> 00:41:36,930 +little v determine whether the vectors + +356 +00:41:50,760 --> 00:41:57,360 +these are the vectors اللي هو V1 بده يساوي 2 + +357 +00:41:57,360 --> 00:42:09,340 +سالب واحد و Zero واحد and V2 بده يساوي V2 بده + +358 +00:42:09,340 --> 00:42:18,040 +يساوي 6 وناقص 3 و Zero 3 are linearly + +359 +00:42:18,040 --> 00:42:27,440 +dependent or linearly independent solution يبقى + +360 +00:42:27,440 --> 00:42:31,520 +بنرجع لسؤال هذا مرة ثانية وبنقول determine + +361 +00:42:31,520 --> 00:42:34,800 +whether the two vectors هدول are linearly + +362 +00:42:34,800 --> 00:42:39,480 +dependent ولا linearly independent لو روحت دقيقة + +363 +00:42:39,480 --> 00:42:44,150 +النظر في ال two vectors يا بنات إيش بتلاحظين؟ و أحد + +364 +00:42:44,150 --> 00:42:52,060 +ثلاثة أمثال الثاني يبقى هدول اثنين مالهم؟ يبقى باجي + +365 +00:42:52,060 --> 00:42:59,740 +بقول له ال V2 يساوي 6 سالب 3 و Zero 3 لو + +366 +00:42:59,740 --> 00:43:04,740 +أخذنا 3 عامل مشترك بيصير عندنا هنا 2 و + +367 +00:43:04,740 --> 00:43:11,160 +سالب واحد و Zero و 1 هذا من هو V1 يبقى هذا + +368 +00:43:11,160 --> 00:43:19,610 +يساوي 3 V1 يبقى صار عندنا هنا V2 + +369 +00:43:19,610 --> 00:43:33,250 +is a multiple of V1 هذا معناته أن V1 و V2 are + +370 +00:43:33,250 --> 00:43:38,550 +linearly dependent وانتهينا من المثال diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_O3Qrzgzn80_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_O3Qrzgzn80_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..eeee583592e1faa4c0fb17c0f949ad31a803b1d4 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/_O3Qrzgzn80_postprocess.srt @@ -0,0 +1,1480 @@ +1 +00:00:19,470 --> 00:00:23,070 +بسم الله الرحمن الرحيم المرة اللى فات انت يا انا + +2 +00:00:23,070 --> 00:00:26,350 +من section تلاته اتنين اللى كان بتحدث عن ال + +3 +00:00:26,350 --> 00:00:32,550 +subspaces الفضاءات الجزئية الاتجاهية والان بننتقل + +4 +00:00:32,870 --> 00:00:38,350 +الموضوع الجديد اللي هو linear dependence الاستقلال + +5 +00:00:38,350 --> 00:00:42,790 +الخطي وفيه كمان linear independence اللي هو + +6 +00:00:42,790 --> 00:00:46,870 +الاستقلال الخطي وlinear dependence الاعتماد الخطي + +7 +00:00:46,870 --> 00:00:49,750 +يبقى العنوان اللي احنا كاتبينه فوق linear + +8 +00:00:49,750 --> 00:00:54,870 +dependence الاعتماد الخطي والجزء الثاني اللي هو + +9 +00:00:54,870 --> 00:00:56,370 +linear independence + +10 +00:01:02,960 --> 00:01:08,080 +هنعطي تعريف لكل من الاعتماد الخطي والاستقلال الخطي + +11 +00:01:08,080 --> 00:01:14,360 +ثم بعد ذلك ناخد أمثلة على ذلك التعريف الأول بقول + +12 +00:01:14,360 --> 00:01:21,220 +let VBA vector space يبقى احنا في عيننا وضائع + +13 +00:01:21,220 --> 00:01:26,040 +اتجاه VThe finite vectors، العدد المحدود من + +14 +00:01:26,040 --> 00:01:32,020 +المتجهات V1 وV2 ولغاية VM الموجودة في VR6 بيكون + +15 +00:01:32,020 --> 00:01:37,160 +linearly dependent، بيقول معتمدات على بعضهم اعتمدا + +16 +00:01:37,160 --> 00:01:44,890 +قطياإذا جدرت لاجي ثواب C1 وC2 وCM أو أعداد حقيقية + +17 +00:01:44,890 --> 00:01:48,650 +موجودة في الـ set of real numbers not all zeros + +18 +00:01:48,650 --> 00:01:55,110 +such that بحيث ان C1 V1 زي C2 V2 زي زي CM VM بديوا + +19 +00:01:55,110 --> 00:02:00,630 +يساوي مهم بديوا يساوي Zero يبقى أنا جيت على ال + +20 +00:02:00,630 --> 00:02:05,790 +vector space أخدت منه مجموعة من ال vectorsهذه الـ + +21 +00:02:05,790 --> 00:02:11,490 +vectors بقول عنها معتمدة على بعض اعتمادا قطية إذا + +22 +00:02:11,490 --> 00:02:17,030 +جدرت ألاقي ثوابت مش كلها zero على الأقل بدي و لو + +23 +00:02:17,030 --> 00:02:22,990 +مقدار ثابت واحد يكون لا يساوي zero بحيث C1V1 زي + +24 +00:02:22,990 --> 00:02:29,430 +C2V2 زي CMVM كله بدي ساوي مين؟ بدي ساوي zeroطبعا + +25 +00:02:29,430 --> 00:02:32,670 +هرجع لهذا التعريف مرة ثانية بس خلينا ناخد التعريف + +26 +00:02:32,670 --> 00:02:37,530 +التاني حتى نلاحظ الفرق ما بين الاتنين التعريف + +27 +00:02:37,530 --> 00:02:41,290 +الثاني بيقول the finite vectors من V1 لغاية VM + +28 +00:02:41,290 --> 00:02:45,530 +اللي موجودة في ال vector space V بقول عنهم + +29 +00:02:45,530 --> 00:02:51,190 +linearly independent يبقى مستقلة عن بعضهم استقلالا + +30 +00:02:51,190 --> 00:02:58,300 +خاطياإذا كان عندي C1 V1 زي C2 V2 زي Cm Vm بده + +31 +00:02:58,300 --> 00:03:03,280 +يساوي Zero We must have لازم ألاقي انه C1 يساوي C2 + +32 +00:03:03,280 --> 00:03:08,920 +يساوي يساوي Cm بده يساوي Zero خليني أتسأل التساؤل + +33 +00:03:08,920 --> 00:03:16,360 +التالي هل هناك فرق بين التعريفين المكتوب قدامي + +34 +00:03:16,360 --> 00:03:19,800 +علوة في فرق بين الاتنين واللحظة من كرر تكرار + +35 +00:03:23,050 --> 00:03:29,250 +في الحالة الأولى لاعتماد الخط إلى المتجات بقول + +36 +00:03:29,250 --> 00:03:35,660 +يعتمدوا على بعض خطيا لو قدرت ألاقي ثوابتممكن يكون + +37 +00:03:35,660 --> 00:03:40,280 +بعضهم أسفار وممكن يكون بعض مش أسفار وممكن يكون فيش + +38 +00:03:40,280 --> 00:03:44,440 +فيهم ولا zero بحيث أضرب constant في الأول زاد + +39 +00:03:44,440 --> 00:03:46,460 +constant في التانية زاد constant في التانية يطلع + +40 +00:03:46,460 --> 00:03:51,160 +النتج يساوي صفر إن حدث ذلك بقول هذه ال vectors من + +41 +00:03:51,160 --> 00:03:56,520 +v1 لغاية vm are linearly dependent يعني معتمدات + +42 +00:03:56,520 --> 00:04:01,220 +على بعض خطيئةهذه تعريف الأول التعريف التاني لو جئت + +43 +00:04:01,220 --> 00:04:05,900 +على ال vectors و جبت ثوابت و ضربتهم فيهم و جمعت + +44 +00:04:05,900 --> 00:04:11,560 +لجيت النتج يساوي zero ان قدرت أثبت ان c1 يساوي c2 + +45 +00:04:11,560 --> 00:04:16,060 +يساوي cm يساوي zero إذا بيكون هذول مستقلات عن بعض + +46 +00:04:16,060 --> 00:04:21,200 +خطيئة linearly independent لكن إذا لجيت ولا واحد + +47 +00:04:21,200 --> 00:04:27,020 +فيهم يساوي zero إذا هذول معتمدات و ليست مستقلات عن + +48 +00:04:27,020 --> 00:04:31,400 +بعضهمواضح كلامي؟ يبقى انا لو اعطاني مجموعة من ال + +49 +00:04:31,400 --> 00:04:34,440 +vectors وقال لي شوف لي هدول are linearly dependent + +50 +00:04:34,440 --> 00:04:38,840 +ولا linearly independent بدي اضرب كل صندوق في + +51 +00:04:38,840 --> 00:04:41,600 +الأول وكل صندوق في التاني و .. و .. و .. كل صندوق + +52 +00:04:41,600 --> 00:04:47,600 +في الأخير و أجمع و أروح أجيب قيم هذه الثوابتانطلع + +53 +00:04:47,600 --> 00:04:53,760 +قيم هذه ثوابت ليست اسفارا يعني مش كلها اسفارا يبقى + +54 +00:04:53,760 --> 00:04:56,500 +بيصيروا ال vectors هذه linearly independent + +55 +00:04:56,500 --> 00:05:00,720 +وانطلعوا الثوابت كلهم اسفارا يبقى بيقول linearly + +56 +00:05:00,720 --> 00:05:05,750 +independent طيب تعالى نشوفDetermine whether the + +57 +00:05:05,750 --> 00:05:08,810 +following vectors are linearly-dependent or + +58 +00:05:08,810 --> 00:05:13,390 +linearly-independent Ld اختصار لـ linearly + +59 +00:05:13,390 --> 00:05:18,390 +-dependent وLi اختصار لـ linearly-independent + +60 +00:05:18,390 --> 00:05:22,710 +ومعطيني مجموعة من ال vectors الأولى موجودة في R3 + +61 +00:05:22,710 --> 00:05:28,150 +ومجموعة ثانية موجودة في R4 يبقى هذول كانوا مسؤالين + +62 +00:05:28,150 --> 00:05:34,420 +مستقلين عن بعض خاطئينهل المجموعة الأولى مستقلة عن + +63 +00:05:34,420 --> 00:05:40,060 +بعض خطيا؟ و الله معتمدة على بعض خطيا فبقى اقول له + +64 +00:05:40,060 --> 00:05:44,720 +assume that + +65 +00:05:44,720 --> 00:05:56,110 +there exist c1 و c2 و c3 in R such thatبحيث ان الـ + +66 +00:05:56,110 --> 00:06:04,930 +C1 V1 زائد C2 V2 زائد C3 V3 بده يساوي 0 والان بعد + +67 +00:06:04,930 --> 00:06:11,830 +هيك بتروح ابحث قيم C1 وC2 وC3 اللي و الله يطلع + +68 +00:06:11,830 --> 00:06:17,400 +كلهم أسفار بقول هدول linearly independentبطلع بقيم + +69 +00:06:17,400 --> 00:06:20,820 +عددية بقول linearly dependent وبالتالي بكون + +70 +00:06:20,820 --> 00:06:25,660 +انتهينا من السؤال يبقى انا بدي اضرب C في V واحد + +71 +00:06:25,660 --> 00:06:30,300 +يبقى C واحد V واحد زائد C اتنين V اتنين زائد C + +72 +00:06:30,300 --> 00:06:35,020 +تلاتة V تلاتة يساوي بدي اضرب C واحد في الجوس الأول + +73 +00:06:35,020 --> 00:06:42,020 +يبقاش بصير انا بنقطع اتنين C واحد و C واحد و سالب + +74 +00:06:42,020 --> 00:06:52,460 +C واحد زائدالتاني بدي أضرب فيه C2 يبقى 2C2 و-3C2 و + +75 +00:06:52,460 --> 00:07:02,180 +-2C2 زائد القوس التالت اللي هو 2C3 + +76 +00:07:02,180 --> 00:07:05,260 +و3C3 + +77 +00:07:06,040 --> 00:07:12,020 +تلاتة C تلاتة وسبعة C تلاتة كل هذا الكلام يجب أن + +78 +00:07:12,020 --> 00:07:17,440 +يساوي كم؟ يجب أن يساوي Zero هؤلاء المجموع تلات + +79 +00:07:17,440 --> 00:07:22,360 +عناصر يجب أن أجمعهم و أجعلهم عنصرا واحدا يبقى لو + +80 +00:07:22,360 --> 00:07:27,600 +أجعلهم عنصرا واحدا يصير هذا الكلام يساوي اتنين C + +81 +00:07:27,600 --> 00:07:32,700 +واحد المركبة الأولى مع المركبة الأولى مع المركبة + +82 +00:07:32,700 --> 00:07:40,570 +الأولى هناكبعد ذلك المركبة التانية C1-3C2 + +83 +00:07:40,570 --> 00:07:52,490 +وزائد 3C3 المركبة التالتة ناقص C1 و ناقص C1 ناقص + +84 +00:07:52,490 --> 00:08:02,780 +2C2 زائد 7C3 جفلنا كله بده يساوي 000الان نعمل + +85 +00:08:02,780 --> 00:08:07,120 +مقارنة ما بين الطرفين يبقى بناء عليه بصير اتنين C + +86 +00:08:07,120 --> 00:08:11,400 +واحد اتنين C اتنين اتنين C تلاتة يساوي Zero + +87 +00:08:11,400 --> 00:08:16,860 +المعادلة الأولى المعادلة التانية C واحد نقص تلاتة + +88 +00:08:16,860 --> 00:08:21,880 +C اتنين زائد تلاتة C تلاتة يساوي Zero المعادلة + +89 +00:08:21,880 --> 00:08:28,860 +التالتة سالب C واحد سالب اتنين C اتنين زائد سبعة C + +90 +00:08:28,860 --> 00:08:35,700 +تلاتة كله يساوي 100يساوي 0 هذا ال system مش بنسميه + +91 +00:08:35,700 --> 00:08:40,860 +homogeneous system يمكن انتقل تلان من vectors إلى + +92 +00:08:40,860 --> 00:08:44,360 +homogeneous system بدنا نروح ندور على حل ال + +93 +00:08:44,360 --> 00:08:47,860 +homogeneous system هذا بأي طريقة من الطرق التي + +94 +00:08:47,860 --> 00:08:52,700 +سبقت دراستها باجي بقول هذا ال system بقدر أكتبه + +95 +00:08:52,700 --> 00:08:57,500 +على الشكل التالي في مشكلة لو جسمت المعادلة الأولى + +96 +00:08:57,500 --> 00:09:05,520 +على اتنينالأولى جسمت كلها في حاجة مافيش مشكلة إذا + +97 +00:09:05,520 --> 00:09:10,600 +بقدر أكتب ال system هذا مرة أخرى على الشكل التالي + +98 +00:09:10,600 --> 00:09:20,660 +C1 زائد C2 زائد C3 يساوي Zero C1 نقص 3 C2 زائد 3 + +99 +00:09:20,660 --> 00:09:30,000 +C3 يساوي Zero نقص C1 نقص 2 C2 زائد 7 C3 يساوي Zero + +100 +00:09:31,520 --> 00:09:36,280 +أريد أن أحل هذا الـ system بالـ row echelon form + +101 +00:09:36,280 --> 00:09:40,620 +مثلاً تمام؟ إذا أذهب وأحصل على الـ augmented + +102 +00:09:40,620 --> 00:09:45,840 +matrix إذا جئت إلى الـ augmented matrix واحد واحد + +103 +00:09:45,840 --> 00:09:53,040 +واحد وهنا Zero اللي بعده واحد ناقص تلاتة تلاتة + +104 +00:09:53,040 --> 00:10:00,260 +Zero سالب واحد سالب اتنين سبعة Zero بالشكل اللي + +105 +00:10:00,260 --> 00:10:07,850 +عندنا هناإذا أنا ممكن أعمل ما يأتي ناقص R1 to R2 + +106 +00:10:07,850 --> 00:10:10,950 +وR1 + +107 +00:10:10,950 --> 00:10:19,670 +to R3 نحصل على ما يأتي هاي واحد واحد واحد Zero صف + +108 +00:10:19,670 --> 00:10:27,410 +اللي بعده Zero سالب أربعة هنا ضربنا في سالب واحد + +109 +00:10:27,410 --> 00:10:35,060 +بضال جدوش اتنينهنا Zero كما هو إضافة يبقى Zero + +110 +00:10:35,060 --> 00:10:41,560 +وهنا سالب واحد وهنا تمانية وهنا Zero بالشكل اللي + +111 +00:10:41,560 --> 00:10:45,460 +عندنا ده الآن + +112 +00:10:45,460 --> 00:10:51,560 +مضاجي الى المعادلة اللي عندنا هذه هنا تلاتة وهنا + +113 +00:10:51,560 --> 00:11:02,140 +مظبوط صحيح يبقى أنا هنا ممكن ارتلت الأرواحطيب تيجي + +114 +00:11:02,140 --> 00:11:10,700 +بتنفع تنفع ليش لا؟ ولا هم هاي R تلاتة ل R واحد طب + +115 +00:11:10,700 --> 00:11:16,940 +انا ممكن اخد نص هذه او اخد ناقص نص في الأول يعني + +116 +00:11:16,940 --> 00:11:23,180 +ممكن اقول بدي اخد ناقص نص عارية اتنين الشكل اللي + +117 +00:11:23,180 --> 00:11:29,850 +عندنا هنا يبقى حصير على الشكل التالفرابع ناقص رابع + +118 +00:11:29,850 --> 00:11:33,990 +اقاري اتنين يبقى لو اخدت ناقص رابع اقاري اتنين + +119 +00:11:33,990 --> 00:11:41,330 +بصير واحد واحد زيرو وهنا زيرو وهنا واحد وهنا ناقص + +120 +00:11:41,330 --> 00:11:48,370 +نص وهنا زيرو وهنا زيرو وهنا سالب واحد تمانية وهي + +121 +00:11:48,370 --> 00:11:54,630 +زيرو الآن بعمل ما يأتيبقول هذا السهم اللي عندنا + +122 +00:11:54,630 --> 00:12:05,550 +إذا بدي أخد ناقص R2 to R1 و بدي أخد R2 to R3 مرة + +123 +00:12:05,550 --> 00:12:13,170 +واحدة لـ R3 يبقى بدي أحصل ما ياتي هذا واحد و هنا + +124 +00:12:13,170 --> 00:12:20,590 +zeroوهنا بيصير ذات بيصير هذا تلاتة على اتنين وهنا + +125 +00:12:20,590 --> 00:12:28,890 +Zero وهنا واحد وهنا ناقص نص وهنا Zero وهنا Zero + +126 +00:12:28,890 --> 00:12:34,070 +وهنا سبعة على اتنين يعني خمستاشر على اتنين سبعة و + +127 +00:12:34,070 --> 00:12:40,970 +نص يعني خمستاشر على اتنين وهنا Zero Zero Zero + +128 +00:12:40,970 --> 00:12:49,830 +بالشكل اللي عندنابناء عليه بقدر اقول ما يأتي من + +129 +00:12:49,830 --> 00:12:58,580 +هذهخلاص يعني بقدر اقول هنا اللي هو خمس طعشة على + +130 +00:12:58,580 --> 00:13:04,060 +اتنين C تلاتة بده يساوي Zero يبقى C تلاتة بده + +131 +00:13:04,060 --> 00:13:11,440 +يساوي Zero الان C تنين ناقص نص C تلاتة بده يساوي + +132 +00:13:11,440 --> 00:13:16,960 +مين؟ بده يساوي Zero C تلاتة ب Zero هذا معناته انه + +133 +00:13:16,960 --> 00:13:23,300 +C تنين بده يساوي Zero الان C واحدزائد تلاتة على + +134 +00:13:23,300 --> 00:13:28,500 +اتنين C تلاتة بده يساوي Zero هذا بدي اخبرك ان C + +135 +00:13:28,500 --> 00:13:36,240 +واحد بده يساوي Zero يبدو + +136 +00:13:36,240 --> 00:13:41,740 +في خطأ عندنا يا بنات استنى شوية هنا هذا واحد سالب + +137 +00:13:41,740 --> 00:13:48,520 +هنا واحد من وين جتني النقص هذه؟ هذه + +138 +00:13:50,060 --> 00:14:02,380 +هذه ناقص C1 هذه ناقص C1 هذه ناقص C1 هذه ناقص C1 + +139 +00:14:02,380 --> 00:14:11,800 +هذه ناقص C1 هذه ناقص + +140 +00:14:11,800 --> 00:14:17,880 +C1 هذه ناقص C1 هذه ناقص C1والله يصلحوه يا بنات + +141 +00:14:17,880 --> 00:14:25,180 +اتنين ناقص واحد واحد واللي بعده اتنين هو ناقص + +142 +00:14:25,180 --> 00:14:31,500 +تلاتة ناقص اتنين اتنين تلاتة سبعة بناء عليه يصير + +143 +00:14:31,500 --> 00:14:41,920 +هذي بما يأتي اتنين وهذه ناقص C واحديبقى ناقص C1 + +144 +00:14:41,920 --> 00:14:48,000 +وزائد C1 والباقي كله سليم لما جينا جمعنا صار اتنين + +145 +00:14:48,000 --> 00:14:58,360 +C1 يبقى صار هذه التانية اللي هو سالب C1 و سالب + +146 +00:14:58,360 --> 00:15:08,520 +تلاتة C2 زائد تلاتة C3 مظبوط واللي بعده موجب C1 + +147 +00:15:08,520 --> 00:15:14,300 +والباقي سليمخلّي بالكوا هنا صارت هذه المعادلة 2 2 + +148 +00:15:14,300 --> 00:15:21,980 +2 مظبوطة هذه ناقص C1 وهذه ناقص 3 وهذه زائد 3 واللي + +149 +00:15:21,980 --> 00:15:31,520 +بعدها زائد C1 ناقص 2 C2 زائد 7 C3 إذا صارت هذه زي + +150 +00:15:31,520 --> 00:15:39,320 +ما هي هذه ناقصهذه ناقص وهذه ناقص وهذه تلاتة وهذه + +151 +00:15:39,320 --> 00:15:46,340 +زائد C واحد وهذه زي ما هي تمام طيب إذا بدنا نيجي + +152 +00:15:46,340 --> 00:15:51,820 +المعادلة واحد واحد واحد مظبوطة هذه ناقص ناقص زائد + +153 +00:15:51,820 --> 00:15:59,970 +هذه زائد واللي بعدها كما هيبناء عليه بدي أقول هنا + +154 +00:15:59,970 --> 00:16:08,790 +R1 to R2 و سالب R1 to R3 بدي أصبح أن هذا مظبوط + +155 +00:16:08,790 --> 00:16:14,570 +يبقى هذا بدي أضيفه بدي أصبح هذا سالب 2لما أضيف + +156 +00:16:14,570 --> 00:16:22,270 +إضافة وهذا سيصبح اربعة وهذا زيرو هذا سيصبح سالب او + +157 +00:16:22,270 --> 00:16:27,030 +اربعة او اتوار ثلاثة زيرو سالب سيصبح هذا سالب + +158 +00:16:27,030 --> 00:16:36,970 +تلاتة وهذا سيصبح ستة هذه ستة والباقي زيرو هذا بدل + +159 +00:16:36,970 --> 00:16:44,920 +الربع ناقص نصناقص نص يبقى هذا زي ما هو وهذا يصبح + +160 +00:16:44,920 --> 00:16:52,660 +واحد وهذا ناقص اتنين لان انا اخدنا ناقص نص يبقى + +161 +00:16:52,660 --> 00:16:57,920 +هذا ناقص اتنين وهذا زيرو والباقي كما هو ما عدا هذا + +162 +00:16:57,920 --> 00:17:04,960 +يصبح سالب تلاتة وهذا يصبح ستةيبقى ايش بده يصير + +163 +00:17:04,960 --> 00:17:12,600 +عندنا الان؟ بده اضيف سالب R2 to R1 مظبوط و تلاتة + +164 +00:17:12,600 --> 00:17:19,280 +R2 to R3 ماشي الحال يبقى ايش بده يصير عندنا؟ بده + +165 +00:17:19,280 --> 00:17:26,350 +يصير كالتاليالعمود الأول زي ما هو و العمود الثاني + +166 +00:17:26,350 --> 00:17:32,250 +سالب سيصبح فوق 0 و اللي تحت 3 سيصبح 0 العمود + +167 +00:17:32,250 --> 00:17:42,560 +التالد الان سالب R2 to R1 سيصبح هنا 3وهنا سالب + +168 +00:17:42,560 --> 00:17:48,120 +اتنين زي ما هي وهنا بدي اضيف تلاتة في اتنين سالب + +169 +00:17:48,120 --> 00:17:55,540 +ستة بيصير zero وهذه كمان zero مظبوط100% إذا تغير + +170 +00:17:55,540 --> 00:18:02,980 +وضع المعادلات كالتالي يبقى بصير انه ايش C1 زائد 3 + +171 +00:18:02,980 --> 00:18:13,260 +C3 بده يسوي 0 وC2 ناقص 2 C3 بده يسوي 0 إذا ننقلب + +172 +00:18:13,260 --> 00:18:16,740 +وضع المعادلة شوفي من linearly independent بده يصير + +173 +00:18:16,740 --> 00:18:21,080 +linearly independent مشان غلطنا بس في إشارة واحدة + +174 +00:18:21,360 --> 00:18:26,720 +يبقى بناء عليه بقدر أقول ما يأتي هدول معادلتين في + +175 +00:18:26,720 --> 00:18:31,920 +ثلاثة مجاهيل لا يمكن حلهم إلا إذا فرطت أحد + +176 +00:18:31,920 --> 00:18:39,890 +المجاهيل من عندي إذا لو جيت قلت مثلا FC3 تساوي A + +177 +00:18:39,890 --> 00:18:51,650 +ثم C1 تساوي نقص 3A ثم C2 تساوي 2A يبقى أصبح + +178 +00:18:51,650 --> 00:19:00,450 +solution is C1 وC2 وC3 + +179 +00:19:10,180 --> 00:19:14,400 +يبقى هذا كله لا يساوي + +180 +00:19:31,850 --> 00:19:32,030 +السلام عليكم + +181 +00:19:50,970 --> 00:19:56,590 +يبقى أمنات أنا فرط c1 و c2 و c3 من عندى مجاهل + +182 +00:19:56,590 --> 00:20:01,350 +ضربتهم فى ال vectors طلعوا هدول ثوابت و ليسوا + +183 +00:20:01,350 --> 00:20:05,730 +أسفارا طبعا يعنى طلعوا أرقام و ليسوا أسفارا + +184 +00:20:05,730 --> 00:20:08,470 +وبالتالي صار ال three vectors are linearly + +185 +00:20:08,470 --> 00:20:12,730 +dependent الآن بنفس الفكرة بإن أنا اجى للمطموب + +186 +00:20:12,730 --> 00:20:18,110 +الثانى Nimra Vيمكننا نمر بيه بداية اقول له assume + +187 +00:20:18,110 --> 00:20:29,830 +افترض assume that there exist c1 و c2 و c3 in a + +188 +00:20:29,830 --> 00:20:37,690 +set of real numbers such that بحيث ان c1, v1, c2, + +189 +00:20:37,910 --> 00:20:47,790 +v2زائد C تلاتة V تلاتة زائد C تلاتة V تلاتة زائد C + +190 +00:20:47,790 --> 00:20:53,690 +تلاتة V تلاتة زائد C تلاتة V تلاتةتلاتة vector + +191 +00:20:53,690 --> 00:20:58,330 +يبقى بدّاه دي اضرب في ال vector أولاني بده يصير + +192 +00:20:58,330 --> 00:21:08,070 +الجثه الأول C1 و 0 و C1 و 2 C1 اللي بعده ضربته في + +193 +00:21:08,070 --> 00:21:19,010 +C2 بده يصير 0 و C2 و C2و2C2 زائد اللي بعده ضربته + +194 +00:21:19,010 --> 00:21:32,010 +في C3 C3 وC3 وC3 و3C3 ساوية 0بتجمعهم مع بعض يبقى + +195 +00:21:32,010 --> 00:21:42,910 +C1 زائد C3 اللي بعده C2 زائد C3 يبقى C1 راح هذا + +196 +00:21:42,910 --> 00:21:48,550 +راح هذا بظل C3 اللي بعده Zero بروح بظل C2 زائد C3 + +197 +00:21:49,090 --> 00:22:00,590 +اللي بعده بيصير c1 زائد c2 زائد c3 اللي بعده اتنين + +198 +00:22:00,590 --> 00:22:09,590 +c1 زائد اتنين c2 زائد تلاتة c3 بده ساوي zero يبقى + +199 +00:22:09,590 --> 00:22:15,370 +هذا ككل جوز بده ساوي zero و zero و zero بالشكل + +200 +00:22:15,370 --> 00:22:20,350 +اللي عندنا هذانعمل مقارنة ما بين الطرفين يبقى C1 + +201 +00:22:20,350 --> 00:22:25,770 +زائد C3 زائد + +202 +00:22:25,770 --> 00:22:34,410 +C3 زائد + +203 +00:22:34,410 --> 00:22:44,280 +C3 زائدالثاني اللي هو C2 زائد C3 بده يساوي 0 + +204 +00:22:44,280 --> 00:22:53,420 +التالت C1 زائد C2 زائد C3 بده يساوي 0 التالت 2C1 + +205 +00:22:53,420 --> 00:23:01,220 +2C2 3C3 بده يساوي كده؟ بده يساوي 0 + +206 +00:23:03,560 --> 00:23:09,920 +طيب لو جينا ضربنا يا بنات هذول المعادلتين في سالي + +207 +00:23:09,920 --> 00:23:16,660 +بإتنين يبقاش بصير سالي بإتنين C واحد سالب سالب + +208 +00:23:16,660 --> 00:23:21,900 +اللي هو اتنين C اتنين سالي بإتنين C تلاتة بده يسوي + +209 +00:23:21,900 --> 00:23:27,480 +Zero هنا اتنين C واحد زيدي اتنين C اتنين زي + +210 +00:23:27,480 --> 00:23:32,180 +التلاتة C تلاتة بده يسوي Zero وجمعنا هدول مع + +211 +00:23:32,180 --> 00:23:38,680 +السلامةيبقى هذا بيظل عندى C3 لحاله بده يساوي Zero + +212 +00:23:38,680 --> 00:23:45,020 +لما C3 يساوي Zero C2 بقداش ب Zero هذا بده يعطينا + +213 +00:23:45,020 --> 00:23:53,580 +انه C2 يساوي Zero لما C3 يساوي Zero وكذلك C1 بده + +214 +00:23:53,580 --> 00:23:57,080 +يساوي Zero يبقى أصبح C1 + +215 +00:24:13,010 --> 00:24:16,730 +يبقى هذا مثال على الـ linearly dependent و ال + +216 +00:24:16,730 --> 00:24:19,610 +linearly independent vectors + +217 +00:24:53,500 --> 00:24:57,140 +بنجي الآن لنظرية على هذا الموضوع نظرية بتقول ما + +218 +00:24:57,140 --> 00:25:03,400 +يأتي theorem the + +219 +00:25:03,400 --> 00:25:07,620 +set اللي + +220 +00:25:07,620 --> 00:25:20,980 +هي V1 و V2 و VM islinearly dependent if and only + +221 +00:25:20,980 --> 00:25:28,400 +if at least one + +222 +00:25:28,400 --> 00:25:35,100 +element of + +223 +00:25:35,100 --> 00:25:44,760 +the set is a linear combination + +224 +00:25:48,820 --> 00:25:51,460 +معظم الاخرين + +225 +00:26:10,130 --> 00:26:14,770 +نرجع لنص النظرية تانية نقرأ النص نحاول نفهم هذا + +226 +00:26:14,770 --> 00:26:20,410 +النص فاهما صحيحا ثم نذهب إلى برهنة هذه النظرية + +227 +00:26:20,410 --> 00:26:25,710 +النظرية بتقول the set of vectors V1 و V2 و لغاية + +228 +00:26:25,710 --> 00:26:29,790 +VM اللي موجودة في vector space V linearly + +229 +00:26:29,790 --> 00:26:34,990 +dependent if and only if at least one element of + +230 +00:26:34,990 --> 00:26:39,370 +the set is a linear combination of the otherيبقى + +231 +00:26:39,370 --> 00:26:43,150 +احنا جينا على vector space أخدنا منه مجموعة من ال + +232 +00:26:43,150 --> 00:26:47,870 +vectors هيها قدامي البرهان بدي يصير في اتجاهين لإن + +233 +00:26:47,870 --> 00:26:52,510 +في موجود عنده إيش if and only if يعني لو كان هذا + +234 +00:26:52,510 --> 00:26:56,570 +معطيات هذا مطلوب والعكس لو كان هذا مطلوب بدي يكون + +235 +00:26:56,570 --> 00:27:00,550 +هذا إيه معطيات إيه ده البرهان بدي يصير في اتجاهين + +236 +00:27:00,550 --> 00:27:05,700 +يبقى بدي أفترض أولا إن هدول ما لهمLinearly + +237 +00:27:05,700 --> 00:27:10,760 +Dependent ومن خلالهم اروح اثبت انه اي vector من + +238 +00:27:10,760 --> 00:27:15,600 +هدول Linear Combination للاخرين يعني اي vector من + +239 +00:27:15,600 --> 00:27:19,780 +هدول بقدر اكتبه على صيغة Linear Combination من + +240 +00:27:19,780 --> 00:27:25,640 +باقية من ال vectors الأخرى تبعات هذه الست يبقى بدأ + +241 +00:27:25,640 --> 00:27:32,740 +امشي الاتجاه الأول بداجي اقول اسيومالذات اللي هو + +242 +00:27:32,740 --> 00:27:40,660 +V1 و V2 و لغاية ال VM are linearly dependent + +243 +00:27:42,680 --> 00:27:46,080 +بالدرجة على تعريف linearly dependent معناته there + +244 +00:27:46,080 --> 00:27:54,100 +exist scholars C1 وC2 وCM موجودات يار not all zero + +245 +00:27:54,100 --> 00:27:59,420 +مش كلهم zero بحيث يكون مجموعهم يسوي قداش zero يبقى + +246 +00:27:59,420 --> 00:28:09,010 +هذا معناته there exist scholarsاللي هم مين؟ C1 وC2 + +247 +00:28:09,010 --> 00:28:23,050 +وCm ان ار not all zero مش كلهم زيرو such that بحيث + +248 +00:28:23,050 --> 00:28:33,130 +ان C1 V1 زائد C2 V2 زائد زائد Cm Vm دي ساوي جداش؟ + +249 +00:28:33,130 --> 00:28:39,150 +دي ساوي زيرويعني السلسلات يا بنات ممكن يكون بعضهم + +250 +00:28:39,150 --> 00:28:44,230 +أسفار وممكن يكون بعضهم مواشي أسفار لكن كلهم أسفار + +251 +00:28:44,230 --> 00:28:50,550 +ممنوع على الأقل عندي ولا واحد فقط بيكون هنا لا + +252 +00:28:50,550 --> 00:28:57,690 +يساوي الزير تمام؟ إذا بروح أخد واحد منهم و أثبت + +253 +00:28:57,690 --> 00:29:03,970 +أني بقدر أكتبه بدلالة من؟ بدلالة الآخرين فباجي + +254 +00:29:03,970 --> 00:29:14,960 +بقول هنا FCI موجود في R and CI not equal to zero + +255 +00:29:14,960 --> 00:29:30,000 +then the vector اللي هو CI VI بده يساوي is ده + +256 +00:29:30,000 --> 00:29:38,670 +ياخد CI VIكيف يعني؟ يعني افترض انه CIV اياجاني هنا + +257 +00:29:38,670 --> 00:29:44,230 +في هذا المكان يبقى بده يخليه في مكانه والباقية كله + +258 +00:29:44,230 --> 00:29:47,950 +بده يوديه وين؟ على الشجرة التانية يبقى ايش بده + +259 +00:29:47,950 --> 00:29:58,270 +يصير هنا؟ بده يساويسالب C1 V1 سالب C2 V2 سالب ونظل + +260 +00:29:58,270 --> 00:30:05,890 +ماشيين لغاية ما نوصل لسالب C I minus ال one V I + +261 +00:30:05,890 --> 00:30:11,050 +minus ال one من اللي بيجي بعده C I V I هيوا برا + +262 +00:30:11,550 --> 00:30:18,750 +يبقى اللي بده يجي بعده ناقص c i plus one v i plus + +263 +00:30:18,750 --> 00:30:25,770 +one زائد زائد لغاية ماوصل آخر واحد اللي هو c m v m + +264 +00:30:27,070 --> 00:30:30,570 +يعني اللي في النص هذا ما بين الاتنين خلّيته + +265 +00:30:30,570 --> 00:30:34,830 +والباقي نجلته وين؟ على الشجة التانية الان أنا جاي + +266 +00:30:34,830 --> 00:30:39,590 +لهذا اللي لا يساوي zero إذا بقدر أجسم عليه صحيح + +267 +00:30:39,590 --> 00:30:45,870 +ولا لأ؟ إذا لو جسمت عليه بحصل على VI دي ساوي سالب + +268 +00:30:45,870 --> 00:30:55,520 +C1 على CI في V1سالب C2 على CI في V2 سالب سالب اللي + +269 +00:30:55,520 --> 00:31:04,740 +هو CI minus 1 على CI في VI minus 1 سالب CI plus 1 + +270 +00:31:04,740 --> 00:31:12,060 +على CI في VI plus 1 طبعا هنا مش زاد ناقص يا بنات + +271 +00:31:12,060 --> 00:31:20,570 +كلهوهنا ناقص يبقى هنا ناقص ونظل ماشيين ناقص cm على + +272 +00:31:20,570 --> 00:31:28,030 +ci في ال VM طب ايش رايكوا هذا مقدار ثابت يا بنات و + +273 +00:31:28,030 --> 00:31:35,150 +هذا مقدار ثابت يعني بقدر اقول هذا a1v1 زائد a2v2 + +274 +00:31:35,150 --> 00:31:49,600 +زائدAI-1VI-1 زائد اللي هو AI plus one VI plus one + +275 +00:31:49,600 --> 00:31:55,900 +زائد زائد اللي هو AMVM + +276 +00:31:55,900 --> 00:32:02,780 +ايش تفسيرك لهذا انه VI linear combination من + +277 +00:32:02,780 --> 00:32:11,460 +الآخرين اظن هو المضطب الأوليبقى هنا this means + +278 +00:32:11,460 --> 00:32:24,260 +that هذا يعني ان ال vi is a linear combination of + +279 +00:32:24,260 --> 00:32:34,300 +the others طيب + +280 +00:32:34,950 --> 00:32:39,990 +بنعمل العملية العكسية بناخد واحد فيهم linear + +281 +00:32:39,990 --> 00:32:44,490 +combination من الآخرين ونثبت أن هذه المجموعة + +282 +00:32:44,490 --> 00:32:49,390 +linearly dependent تمام يبقى بالداجي أقول له + +283 +00:32:49,390 --> 00:32:59,830 +conversely conversely يعني بالعكس assume that + +284 +00:33:00,820 --> 00:33:13,440 +VK is a linear combination of + +285 +00:33:13,440 --> 00:33:27,220 +the vectors V1 و V2 و لغاية VK-L1 و VK plus one + +286 +00:33:27,820 --> 00:33:34,900 +وانظر لمشي لغاية ال VM هذا + +287 +00:33:34,900 --> 00:33:41,740 +Linear Combination من من؟ من هذول تمامالان انا + +288 +00:33:41,740 --> 00:33:46,940 +فرضت ان ال vector رقم K من المجموع اللي عندى هذا + +289 +00:33:46,940 --> 00:33:51,700 +ماله هو vector رقم K هو linear combination من + +290 +00:33:51,700 --> 00:33:57,320 +الأخرين هو النظرية هى is a linear combination of + +291 +00:33:57,320 --> 00:34:01,940 +the other بدي اثبت ان هذه ال vector كلها بما فيها + +292 +00:34:01,940 --> 00:34:07,520 +ال V وK are linearly dependent تمام يبقى assume + +293 +00:34:07,520 --> 00:34:11,180 +that linear combination of the vectorsيبقى هذا + +294 +00:34:11,180 --> 00:34:21,880 +معناته ان there exist c1 و c2 و لغاية cm in R such + +295 +00:34:21,880 --> 00:34:22,500 +that + +296 +00:34:25,350 --> 00:34:40,530 +بحيث ان ال VK بده ساوي C1 V1 زاد C2 V2 زاد CK-1 في + +297 +00:34:40,530 --> 00:34:53,590 +VK-1 زاد CK plus 1 في VK plus 1 زاد زاد CMVM + +298 +00:34:58,080 --> 00:35:04,220 +السؤال هو هل أنا حطيت قيود على السيهات هذه؟ قولت + +299 +00:35:04,220 --> 00:35:07,840 +أسفار ولا غير أسفار؟ أبدا، linear cum أسفار ولا + +300 +00:35:07,840 --> 00:35:11,360 +غير أسفار؟ بهلنير، إنما دول scholars موجودات في + +301 +00:35:11,360 --> 00:35:15,280 +أرض وحققوا لمين المعادلة اللي عندنا، طب شو رأيكوا + +302 +00:35:15,280 --> 00:35:20,290 +أعملها معادلة سفرية بنفع؟بنفع طيب يبقى لو روحت + +303 +00:35:20,290 --> 00:35:28,330 +عملتها معادلة صفرية بصير كيف C1 C1 زاد C2 V2 زاد + +304 +00:35:28,330 --> 00:35:36,110 +زاد CK-1 VK-1 هذا اللي بدي أجيبه على الشك التاني + +305 +00:35:36,110 --> 00:35:42,530 +يا بنات بدي يجي بشرة جدية سالب واحد في ال VK يبقى + +306 +00:35:42,530 --> 00:35:52,660 +هذا سالب واحد في ال VKزائد ck plus one vk plus one + +307 +00:35:52,660 --> 00:36:02,900 +زائد زائد cm vm كله بده يساوي zeroطيب الحين لجيت + +308 +00:36:02,900 --> 00:36:07,920 +ايش لجيت constants not all zero مش عارف انه not + +309 +00:36:07,920 --> 00:36:13,540 +all zero بقولك اه هاي واحد فيهم بجداش بسالب واحد + +310 +00:36:13,540 --> 00:36:23,840 +يبقى هنا so there exist constants in + +311 +00:36:23,840 --> 00:36:29,380 +cnr not all zero + +312 +00:36:34,070 --> 00:36:42,530 +بالتالي CK-1 يبقى هناك إذا أصلا كانت نقطة او زيرو + +313 +00:36:42,530 --> 00:36:57,200 +لأن هذا such thatبحيث ان c1v1 زاد c2v2 زاد cmvm + +314 +00:36:57,200 --> 00:37:05,380 +بده يساوي zero هذا معناه ان v1 وv2 وvm are + +315 +00:37:05,380 --> 00:37:11,340 +linearly dependent وهو المطلوب حد فيكم بتحب تسأل + +316 +00:37:11,340 --> 00:37:13,240 +أي سؤال في برهان النظرية + +317 +00:37:16,490 --> 00:37:20,770 +برهاء النظرية، حد بتحب تسأل اي سؤال؟ اذا ماكنتش + +318 +00:37:20,770 --> 00:37:25,250 +تسأل وانا بدي اسأل، اه، ايوة + +319 +00:37:30,360 --> 00:37:34,180 +حطينا إيش؟ مش خلّينا واحد في ناحية و الباقي في + +320 +00:37:34,180 --> 00:37:39,980 +ناحية تانية كنا نجلناهم يعني بلغة لبتدائي أضافنا + +321 +00:37:39,980 --> 00:37:46,020 +المعكوس الجامعي لكل من ال vectors إلى الطرفين، + +322 +00:37:46,020 --> 00:37:49,620 +تمام؟ وعلى السريع بقولنا نجلناهم علشان جتنا بتجي + +323 +00:37:49,620 --> 00:37:56,020 +بشرقة مخالفة، مش هيك؟ في كمان تسأل؟ طيب، بدأ أسأل + +324 +00:37:56,020 --> 00:38:00,060 +السؤال اللي يتتلي أنالو عند فيه two vectors يامنات + +325 +00:38:00,060 --> 00:38:05,100 +واحد مضاعفات التاني واحد نص التاني جده مرتين جده + +326 +00:38:05,100 --> 00:38:13,240 +تلت مرات جده عشر مرات قلي بركوا كويس يعني C1 يساوي + +327 +00:38:13,240 --> 00:38:20,620 +مثلا خمسة C2 V1 يساوي خمسة V2 هل ال V1 و V2 are + +328 +00:38:20,620 --> 00:38:24,980 +linearly dependent ولا linearly independent؟ + +329 +00:38:27,080 --> 00:38:29,620 +اللي بتعرف ترفع أيضا فوق بس مش هنتناقش انا و + +330 +00:38:29,620 --> 00:38:37,340 +الباقي يفهم انا عندي V1 بده ساوي خمسة V2 سؤالي هو + +331 +00:38:37,340 --> 00:38:41,840 +ال V1 و ال V2 هذا linearly dependent ولا linearly + +332 +00:38:41,840 --> 00:38:44,420 +independent ده اللي بتعرف ترفع أيضا فوق مش هنتناقش + +333 +00:38:44,420 --> 00:38:49,300 +احنا وياه ايوة linearly dependent ليش؟ لأن نقدر + +334 +00:38:49,300 --> 00:38:55,380 +ناخد خمسة V1 نقدر نخلد V1 نعمل تكتر ثاني خمسة V1 + +335 +00:38:56,290 --> 00:39:01,550 +لأنه ممكن ننجلها على الشجة التانية ويصير V1 ناقص + +336 +00:39:01,550 --> 00:39:07,050 +خمسة V2 يساوي كم؟ Zero. بيصير معامل ال V1 هو V1 + +337 +00:39:07,050 --> 00:39:12,450 +ومعامل ال V2 هو سالب خمسة واثنين not zero وبالتالي + +338 +00:39:12,450 --> 00:39:17,610 +هذول اتنين linearly dependentيبجى ابنات any two + +339 +00:39:17,610 --> 00:39:21,810 +vectors واحد مضاعفات النص و تلت و ربع و ناقص خمسة + +340 +00:39:21,810 --> 00:39:26,050 +جد و خمسين مرة كله are linearly dependent هكتبها + +341 +00:39:26,050 --> 00:39:30,910 +لك بصيغة ال remark التالية يبجى خليني امسح الشجة + +342 +00:39:30,910 --> 00:39:33,510 +هذه و نكتب هذه ال remark + +343 +00:39:58,520 --> 00:40:05,460 +remark let v + +344 +00:40:05,460 --> 00:40:19,020 +be a vector space then v1 + +345 +00:40:19,020 --> 00:40:28,800 +وv2 اللي موجودة في vare linearly dependent if and + +346 +00:40:28,800 --> 00:40:41,400 +only if if and only if one is a multiple of + +347 +00:40:41,400 --> 00:40:49,900 +the other واحد فيهم كان مضعفات الثاني that is + +348 +00:40:53,870 --> 00:41:00,650 +V1 بيساوي CV2 والـ C هذه موجودة في set of real + +349 +00:41:00,650 --> 00:41:05,410 +numbers طبعا ليش؟ أقول لو نجلت هذه على الشجة هذه و + +350 +00:41:05,410 --> 00:41:10,970 +الله هذه على الشجة هذه بصير اللي هو أحد المعاملات + +351 +00:41:10,970 --> 00:41:15,510 +لا يساوي zero C أنا مش عارف منه قد يكون zero و قد + +352 +00:41:15,510 --> 00:41:19,670 +لا يكون zero بس معامل ال V هو جداش واحد صحيح + +353 +00:41:19,670 --> 00:41:22,810 +وبالتالي enough all zeroيبقى هدول linearly + +354 +00:41:22,810 --> 00:41:33,150 +dependent نعطي مثال examples example one لان بيقول + +355 +00:41:33,150 --> 00:41:36,930 +little v determine whether the vectors + +356 +00:41:50,760 --> 00:41:57,360 +these are the vectors اللي هو V1 بده يساوي اتنين + +357 +00:41:57,360 --> 00:42:09,340 +سالب واحد و Zero واحد and V2 بده يساوي V2 بده + +358 +00:42:09,340 --> 00:42:18,040 +يساوي ستة وناقص تلاتة و Zero تلاتة areLinearly + +359 +00:42:18,040 --> 00:42:27,440 +dependent or linearly independent solution يبقى + +360 +00:42:27,440 --> 00:42:31,520 +بنرجع لسؤال هذا مرة ثانية و بنقول determine + +361 +00:42:31,520 --> 00:42:34,800 +whether the two vectors هدول are linearly + +362 +00:42:34,800 --> 00:42:39,480 +dependent ولا linearly independent لو روحت دقيقة + +363 +00:42:39,480 --> 00:42:44,150 +النظر في ال two vectors يا مانت إيش بتلاحظني؟و أحد + +364 +00:42:44,150 --> 00:42:52,060 +ثلاثة أمثال الثاني يبقى هدول اتنين مالهم؟يبقى باجي + +365 +00:42:52,060 --> 00:42:59,740 +بقوله ال V2 يساوي ستة سالب تلاتة و Zero تلاتة لو + +366 +00:42:59,740 --> 00:43:04,740 +أخدنا تلاتة عامل مشترك بيصير عندنا هنا اتنين و + +367 +00:43:04,740 --> 00:43:11,160 +سالب واحد و Zero و واحد هذا من هو V1 يبقى هذا + +368 +00:43:11,160 --> 00:43:19,610 +يساوي تلاتة V1يبقى صارع هنا V2 + +369 +00:43:19,610 --> 00:43:33,250 +is a multiple of V1 هذا معناته ان V1 و V2 are + +370 +00:43:33,250 --> 00:43:38,550 +linearly dependent وانتهينا من المثل + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/bP46PxbK2bE_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/bP46PxbK2bE_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..46ef5c1e773b347639f1ffda1663671c6d249a4c --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/bP46PxbK2bE_postprocess.srt @@ -0,0 +1,1804 @@ +1 +00:00:19,740 --> 00:00:24,020 +بسم الله الرحمن الرحيم نعود ل ال section ابتدأنا + +2 +00:00:24,020 --> 00:00:29,360 +في الفترة الصباحية و نجي نكمل عليه يبقى فيها بعض + +3 +00:00:29,360 --> 00:00:34,020 +التعريفات الجديدة مثل ال singular matrix و ال non + +4 +00:00:34,020 --> 00:00:38,440 +singular matrix المصروفة المربعة بقول عنها + +5 +00:00:38,440 --> 00:00:44,500 +singular لو جيت أخدت المحدد لها و لجيته يساوي + +6 +00:00:44,500 --> 00:00:50,760 +الصفرnon singular لو أخدت المحدد له وجدت القيمة لا + +7 +00:00:50,760 --> 00:00:54,280 +تساوي zero singular بقى singular بالعربي يعني + +8 +00:00:54,280 --> 00:00:59,800 +بترجموها مصهوفة شاذة مصهوفة منفردة مصهوفة منعزلة + +9 +00:00:59,800 --> 00:01:03,900 +الترجمة اللي بدكيها باختلاف الترجمة من دولتين + +10 +00:01:04,000 --> 00:01:08,500 +الأخرى لكن درجة انها مصوفة شاذة يبقى المصوفة اللي + +11 +00:01:08,500 --> 00:01:13,940 +محددها يساوي zero بسميها singular matrix والمصوفة + +12 +00:01:13,940 --> 00:01:18,280 +اللي محددها لا يساوي zero بسميها non singular + +13 +00:01:18,280 --> 00:01:24,260 +matrix يعني مصوفة غير شاذة أو غير منعزلةبنجي الان + +14 +00:01:24,260 --> 00:01:30,300 +لمشتقة المحدد كيف بنحصل على المشتقة الأولى لمحدد + +15 +00:01:30,300 --> 00:01:34,360 +ما بنحط التعريف كالتالي لو كان ال determinant لإيه + +16 +00:01:34,360 --> 00:01:38,280 +هو المحدد اللي عندنا هذا يبقى بدنا مشتقة ال + +17 +00:01:38,280 --> 00:01:42,360 +determinant لإيه أو ال determinant لإيه prime + +18 +00:01:42,360 --> 00:01:46,760 +شوفوش بنعمل بنجي على الصف الأول اللي بنشتقه و + +19 +00:01:46,760 --> 00:01:52,110 +بنثبت باقي الصفوفبنضيف له بثبت الصف الأول و بشتق + +20 +00:01:52,110 --> 00:01:57,070 +الصف الثاني و بثبت باقي الصفوف بروح زاد على الصف + +21 +00:01:57,070 --> 00:02:00,590 +التالت و بشتقه بثبت الصفين اللي جابله و باقي + +22 +00:02:00,590 --> 00:02:05,030 +الصفوف اللي .. و بضل مستمر على الشغل هذه لما نغاية + +23 +00:02:05,030 --> 00:02:12,150 +ما أوصل للمحدد رقم N اللي بثبت كل الصفوف من أعلى + +24 +00:02:12,150 --> 00:02:17,620 +عدى الصف الأخير بجون بشتقهبجمع بفكر محددة و بجيب + +25 +00:02:17,620 --> 00:02:23,320 +النتج بكون حصلت على مشتقة هذا المحدد اطلع هنا + +26 +00:02:23,320 --> 00:02:28,300 +اشتقت الصف الأول و ثبت باق الصف الزائد اشتقت الصف + +27 +00:02:28,300 --> 00:02:33,080 +ثاني و ثبت اللي قبله و اللي بعدهزائد زائد لغاية ما + +28 +00:02:33,080 --> 00:02:38,020 +وصل لمين لآخر محدد ثبت الصفوف الأولى كلها واشتقت + +29 +00:02:38,020 --> 00:02:43,680 +الصف الأخيرة مجموع هذول كله مع بعض بيعطيني قيمة + +30 +00:02:43,680 --> 00:02:49,710 +مشتقة هذا المحددجالي مثال لو كان عندنا محدد ثلاثي + +31 +00:02:49,710 --> 00:02:53,650 +بالشكل هذا و زي ما انت شايفه دوال جالي هاتلي + +32 +00:02:53,650 --> 00:03:00,550 +determinant لل A prime يعني مشتقة هذا المحدد بقوله + +33 +00:03:00,550 --> 00:03:06,290 +بسيطة الحل كان تاليباجي بقوله ال determinant لإيه + +34 +00:03:06,290 --> 00:03:11,490 +لكل prime يساوي باجي بقوله هي المحدد باجي على الصف + +35 +00:03:11,490 --> 00:03:16,690 +الأول مشتقة ال X تربية بقداش باتنين X مشتقة + +36 +00:03:16,690 --> 00:03:21,010 +التانية بواحد مشتقة اللي بعدها سالب واحد على X + +37 +00:03:21,010 --> 00:03:21,470 +تربية + +38 +00:03:34,440 --> 00:03:39,820 +المحدد اللي بعده بثبت الصف الأول زي ما هواللي هو X + +39 +00:03:39,820 --> 00:03:44,960 +تربية و X هو واحد على X الصف الثاني بدي أشتاقه + +40 +00:03:44,960 --> 00:03:49,100 +مشتاقة ال E و ال six بال E و ال six السلم مشتاقة + +41 +00:03:49,100 --> 00:03:53,340 +ال zero بال zero و مشتاقة اتنين بال zero الصف + +42 +00:03:53,340 --> 00:04:03,140 +الثالث زي ما هوتان ال X خمسة X صين ال X جفلنا زائد + +43 +00:04:03,140 --> 00:04:09,480 +اللي هو المحدد التالت الصف الأول زي ما هو بدون + +44 +00:04:09,480 --> 00:04:15,680 +تغيير الصف الثاني زي ما هو بدون تغيير الصف التالت + +45 +00:04:15,680 --> 00:04:21,840 +بدي أشتقهممشتقة التان بالسكتر بيها الـ X مشتقة + +46 +00:04:21,840 --> 00:04:28,240 +خمسة X بخمسة مشتقة الـ sine بيها الـ cosine X روح + +47 +00:04:28,240 --> 00:04:31,680 +يفكر كل محدد من هذه المحادثة ويجمع يكون حصلنا + +48 +00:04:31,680 --> 00:04:36,500 +عالميا على المشتقة يبقى هذا مثال عملي على كفية + +49 +00:04:36,500 --> 00:04:41,320 +الحصول على مشتقة محددة ضايق لأن في هذه ال section + +50 +00:04:41,320 --> 00:04:48,700 +هذه الملاحظة A التاليةيبقى باجي الى remark remark + +51 +00:04:48,700 --> 00:04:52,320 +بتقول + +52 +00:04:52,320 --> 00:04:59,540 +the value of a determinant the value of a + +53 +00:04:59,540 --> 00:05:13,690 +determinant determinant of an upper او lowerأعلى + +54 +00:05:13,690 --> 00:05:14,590 +أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +55 +00:05:14,590 --> 00:05:16,650 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +56 +00:05:16,650 --> 00:05:22,830 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +57 +00:05:22,830 --> 00:05:23,190 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +58 +00:05:23,190 --> 00:05:23,290 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +59 +00:05:23,290 --> 00:05:23,850 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +60 +00:05:23,850 --> 00:05:24,770 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +61 +00:05:24,770 --> 00:05:26,610 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +62 +00:05:26,610 --> 00:05:34,730 +أعلى أو أعلى أو أعلى أو أعلى أو أعلى أو + +63 +00:05:34,730 --> 00:05:41,070 +أعلى أو أعلى أو أعلى أو + +64 +00:05:46,710 --> 00:05:54,890 +الشركات الوحيدة من الشركات الوحيدة من الشركات + +65 +00:05:54,890 --> 00:05:57,450 +الوحيدة من الشركات الوحيدة من الشركات الوحيدة من + +66 +00:05:57,450 --> 00:05:58,170 +الشركات الوحيدة من الشركات الوحيدة من الشركات + +67 +00:05:58,170 --> 00:06:00,430 +الوحيدة من الشركات الوحيدة من الشركات الوحيدة من + +68 +00:06:00,430 --> 00:06:00,510 +الشركات الوحيدة من الشركات الوحيدة من الشركات + +69 +00:06:00,510 --> 00:06:09,830 +الوحيدة من الشركات الوحيدة من الشركات + +70 +00:06:15,470 --> 00:06:21,010 +show that بيّلّي + +71 +00:06:21,010 --> 00:06:30,330 +أن المحدد تبع اتنين واحد سالب تلاتة Zero سالب واحد + +72 +00:06:30,330 --> 00:06:40,700 +تلاتةzero zero سالب اتنين يساوي المحدد تبع اتنين + +73 +00:06:40,700 --> 00:06:49,520 +zero zero zero سالب واحد zero zero zero سالب اتنين + +74 +00:06:49,520 --> 00:06:56,980 +يساوي اتنين zero zero واحد سالب واحد zero zero + +75 +00:06:56,980 --> 00:07:02,770 +تلاتة سالب نرجع لل remark اللي احنا كاتبينهبقول لي + +76 +00:07:02,770 --> 00:07:08,170 +قيمة محدد الـ Upper Triangle Matrix أو الـ Lower + +77 +00:07:08,170 --> 00:07:12,430 +Triangle Matrix Upper Triangle Matrix يبقى العناصر + +78 +00:07:12,430 --> 00:07:16,350 +تحت القطر الرئيسي أسفراً Lower Triangle Matrix + +79 +00:07:16,350 --> 00:07:21,730 +يبقى العناصر أعلى القطر الرئيسي أسفراً المصوفتين + +80 +00:07:21,730 --> 00:07:26,800 +الأثنين هدول أو الـ Diagonal Matrixالمصوفة القطرية + +81 +00:07:26,800 --> 00:07:30,460 +يعني اللي عناصرها أعلى القطر الرئيسي و أسفر القطر + +82 +00:07:30,460 --> 00:07:34,680 +الرئيسي كله أسفران، شو بده يساوي هذا؟ is the + +83 +00:07:34,680 --> 00:07:37,080 +product of the interest of the mind يقول إن هو + +84 +00:07:37,080 --> 00:07:43,160 +حاصل ضرب عناصر القطر الرئيسي يعني المصوفات التلاتة + +85 +00:07:43,160 --> 00:07:48,400 +بدل المجعد أحسب المحدد لكل وعدة فيهم أقول فك + +86 +00:07:48,400 --> 00:07:51,800 +باستخدام كذا و لا لأ بصدر بعناصر القطر الرئيسي وخل + +87 +00:07:51,800 --> 00:07:55,950 +عنك يعنياللي قال لو بدي أجي لمحدد المصورة دي بدي + +88 +00:07:55,950 --> 00:07:58,890 +أقول له اتنين في سالب واحد في سالب اتنين يبقى + +89 +00:07:58,890 --> 00:08:03,210 +الجواب قداشر؟ اربع هنا بدي أقول له اتنين في سالب + +90 +00:08:03,210 --> 00:08:06,610 +واحد في سالب اتنين يبقى برضه اربع وهنا اتنين في + +91 +00:08:06,610 --> 00:08:10,490 +سالب واحد في سالب اتنين يبقى الجواب اربع هيك بدي + +92 +00:08:10,490 --> 00:08:16,110 +أقوله بس أنا بدي أبين صحة هذا الكلام قبل كل شيء + +93 +00:08:16,430 --> 00:08:22,170 +يبقى انا لو جيت احل هذا الكلام بقول الحل كتالي + +94 +00:08:22,170 --> 00:08:28,150 +يبقى solution بدا اجي للمحدد الأول اني اتأحسن افكه + +95 +00:08:28,150 --> 00:08:34,230 +باستخدام عناصر الصف الأول ولا العمود الأولالعمود + +96 +00:08:34,230 --> 00:08:38,070 +الأول ليش في النصف صفرين بحتاج هجمع يبقى بقول زي + +97 +00:08:38,070 --> 00:08:43,550 +Zero زي Zero خلاصنا يبقى باجي بقول هذا اتنين و + +98 +00:08:43,550 --> 00:08:49,230 +باجي بشطب صفه و عموده بضال قداش اللي هو المحدد + +99 +00:08:49,230 --> 00:08:56,300 +اللي عندنا هذا صح؟يبقى الرئيسي ناقصي ثانوي يبقى + +100 +00:08:56,300 --> 00:09:03,720 +الرئيسي ناقص واحد في مين في ناقص اتنين ناقص Zero + +101 +00:09:03,720 --> 00:09:08,900 +يبقى جداش يتطلع يحصل ضرب عناصر القطر الرئيسي ولا + +102 +00:09:08,900 --> 00:09:15,960 +لامظبوط يبقى هذا جداش بده ساوي بده ساوي أربعة طبعا + +103 +00:09:15,960 --> 00:09:20,520 +اللي بعده Zero في محدده Zero في محدده Zero يبقى + +104 +00:09:20,520 --> 00:09:25,520 +هنا بدي أقوله هذا جابل هيك يبقى هذا ناقص Zero اللي + +105 +00:09:25,520 --> 00:09:32,260 +بعده ناقص Zero زائد Zero يبقى النتيجة بتساوي جداش + +106 +00:09:32,260 --> 00:09:40,580 +أربعةبعد ذلك بالداجي للمحدد التاني باستخدام الصف + +107 +00:09:40,580 --> 00:09:44,580 +الأول و الله العمود الأول سيان مش كله نفس الشيء + +108 +00:09:44,580 --> 00:09:51,870 +يبقى بالداجي اقول له هذا اتنين freeأوشط بصفه و + +109 +00:09:51,870 --> 00:09:57,330 +عموده بظل عندنا الرئيسي سالب واحد في سالب اتنين + +110 +00:09:57,330 --> 00:10:05,300 +ناقص Zero واللي بعده ناقص Zero زائد Zeroيبقى كده + +111 +00:10:05,300 --> 00:10:11,080 +أشهده بدي يعطيني؟ كذلك أربعة اللي بعده التالت يبقى + +112 +00:10:11,080 --> 00:10:16,740 +بداجي أفكه باستخدام أصر الصف الأول يبقى هذا اتنين + +113 +00:10:16,740 --> 00:10:21,880 +فيه طال الليلة لوشط بصف وعمد بيظل ناقص واحد فناقص + +114 +00:10:21,880 --> 00:10:28,600 +اتنين ناقص زيرو يبقى ناقص واحد فناقص اتنين ناقص + +115 +00:10:28,600 --> 00:10:32,950 +زيرو كل اللي بعدهنقل نقل نقل نقل نقل نقل نقل نقل + +116 +00:10:32,950 --> 00:10:34,550 +نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل + +117 +00:10:34,550 --> 00:10:43,550 +نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل + +118 +00:10:43,550 --> 00:10:49,330 +نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل نقل + +119 +00:10:49,330 --> 00:10:54,270 +نقل نقل نقل + +120 +00:10:55,520 --> 00:11:00,220 +يبقى إذا كانت المصوفة diagonal matrix أو upper and + +121 +00:11:00,220 --> 00:11:04,680 +lower triangle matrix على طول الخط مش تقعد تكتب و + +122 +00:11:04,680 --> 00:11:08,560 +هتقولي قيمة المحدد يساوي حصل ضرب عنها سقوط رئيسي و + +123 +00:11:08,560 --> 00:11:11,680 +بتروح تضرب عنها سقوط رئيسي في بعض و خلاص يعني + +124 +00:11:11,680 --> 00:11:14,720 +بيبقى تقولي لي هنا اتنين في سلب واحد سلب اتنين و + +125 +00:11:14,720 --> 00:11:17,860 +ماتكتبيش لا محددات ولا .. بتقولي قيمة المحدد يساوي + +126 +00:11:17,860 --> 00:11:24,160 +كذا هذا لو كانت upper triangleأو Lower Triangle أو + +127 +00:11:24,160 --> 00:11:30,740 +Diagonal Matrix فقط لغير ما خل ذلك كلامنا غير صحيح + +128 +00:11:30,740 --> 00:11:37,380 +وهذا لا يكون إلا لمصفوفة مربعة تمام إلى هنا stop + +129 +00:11:37,380 --> 00:11:42,200 +intersection ليكن أرقام المسائل exercises 2 تمانية + +130 +00:11:42,200 --> 00:11:49,570 +يبقى exercises 2 تمانية المسائل التاليةالسؤال + +131 +00:11:49,570 --> 00:11:58,500 +الأول والسؤال الثاني D وF وGوبعد ذلك إسرائيلي + +132 +00:11:58,500 --> 00:12:07,760 +التالت C وD وE بعد ذلك إسرائيلي السادس وإسرائيلي + +133 +00:12:07,760 --> 00:12:19,880 +السابع B وC وبعد ذلك إسرائيلي الثامن A وD وبعد ذلك + +134 +00:12:19,880 --> 00:12:26,620 +من تسعة لغاية تلتاشريبقى هذه المثال مطلوب تتدربي + +135 +00:12:26,620 --> 00:12:34,600 +عليها من الكتاب بنجي ل section 2 9 اللي هو ال + +136 +00:12:34,600 --> 00:12:39,860 +properties of + +137 +00:12:39,860 --> 00:12:45,000 +determinants + +138 +00:12:47,900 --> 00:12:51,880 +يبقى خواصة المحددات طبعا هذه الخواصة خدتها في + +139 +00:12:51,880 --> 00:12:55,700 +الثانوية العامة بس بالعربي احنا بدنا نكرر هذه + +140 +00:12:55,700 --> 00:13:01,620 +الخواصة ثمانية مرة ثانية بس بدنا نكتبها بالانجليزي + +141 +00:13:01,620 --> 00:13:06,420 +طبعا بعض بنات استغربوا تمان خواصة تمان خواصة ويمكن + +142 +00:13:06,420 --> 00:13:09,580 +يكونوا يفرضوهم ويخلوهم عشرة في الثانوية لكن احنا + +143 +00:13:09,580 --> 00:13:15,310 +بنختصرهم في ثماني خواصة الخاصية الأولىفبالي بيجي + +144 +00:13:15,310 --> 00:13:24,870 +بقول فالـ A is a square matrix مصفوفة مربعة ذين + +145 +00:13:24,870 --> 00:13:31,770 +الخاصية الأولى ال determinant للـ A transpose + +146 +00:13:31,770 --> 00:13:40,510 +يساوي ال determinant لمين للـ A for + +147 +00:13:40,510 --> 00:13:41,150 +example + +148 +00:13:45,320 --> 00:13:51,240 +المحدد لمصفوفة ايه؟ بدي احط مثلا تلاتة في تلاتة + +149 +00:13:51,240 --> 00:13:57,860 +يبقى ابنات هناك يلا اتنين تلاتة ثالث واحد زيرو + +150 +00:13:57,860 --> 00:14:06,260 +واحد اتنين اربع زيرو زيرو تمام؟ هذا محددبدي أجيب + +151 +00:14:06,260 --> 00:14:10,500 +له determined بدي أجيب له ال transpose تبعه و أخد + +152 +00:14:10,500 --> 00:14:16,000 +له المحدد يبقى هذا ال transpose الصف الأول بدي + +153 +00:14:16,000 --> 00:14:21,080 +يصير العمود الأول الصف الثاني بدي يصير العمود + +154 +00:14:21,080 --> 00:14:27,520 +التاني الصف التالت بدي يصير معله العمود الثالث + +155 +00:14:27,520 --> 00:14:33,680 +هدول المحددين الاتنين are equal بنقدر نستنتج بمجرد + +156 +00:14:33,680 --> 00:14:38,090 +النظرإن هدول المحددين ما زي كيف؟ لو بدأ فك هذا + +157 +00:14:38,090 --> 00:14:41,750 +باستخدام عناصر الصف في التالت طبعاً Zero في المحدد + +158 +00:14:41,750 --> 00:14:45,050 +و Zero بـ Zero بيضال أربعة بس في المحدد واش بيضل + +159 +00:14:45,050 --> 00:14:50,990 +صف و عمود بيضل مين؟ بيضل المحدد هذا مظبوط؟ أربعة + +160 +00:14:50,990 --> 00:14:55,470 +في قيمة هذا نجي هذا لو روحت كتب باستخدام عناصر + +161 +00:14:55,470 --> 00:15:01,810 +العمودي الثالث يبقى أربعة و نشط بصف و عمود بيضل + +162 +00:15:01,810 --> 00:15:07,860 +هذا تمام؟طيب هذا المحدد اللي هو تلاتة في اتنين + +163 +00:15:07,860 --> 00:15:13,780 +زائد واحد يبقى سبعة في اربعة وين سبعة في اربعة + +164 +00:15:13,780 --> 00:15:19,400 +بتمانية وعشرين نجي لها ده هي اربعة هي ستة وزائد + +165 +00:15:19,400 --> 00:15:22,980 +واحد سبعة في اربعة بتمانية وعشرين يبقى على كل + +166 +00:15:22,980 --> 00:15:28,500 +الأمر كله تمانية وعشرينيبقى الـ A هو الـ + +167 +00:15:28,500 --> 00:15:31,560 +determinant للـ A transpose هو الـ determinant + +168 +00:15:31,560 --> 00:15:35,780 +لمين للـ A يعني لو جينا المصفوفة و جينا مدور + +169 +00:15:35,780 --> 00:15:40,940 +المصفوفة و أخدنا محدد المصفوفة A و محدد مدور + +170 +00:15:40,940 --> 00:15:46,060 +المصفوفة بلاج الأتنين are equal لاتتغير هذه + +171 +00:15:46,060 --> 00:15:56,180 +الخاصية الأولى الخاصية الثانية if every elementإذا + +172 +00:15:56,180 --> 00:16:11,180 +كان كل عنصر in a row في أي صفر أو قلم في صفر أو + +173 +00:16:11,180 --> 00:16:18,620 +عمود of a is zero then + +174 +00:16:21,770 --> 00:16:27,650 +الـ determinant للـ A بده يساوي كده؟ بده يساوي 0 + +175 +00:16:27,650 --> 00:16:37,730 +for exampleكمثال على ذلك لو أخدت بدي أخلي أحد + +176 +00:16:37,730 --> 00:16:44,290 +الصفوف أو أحد الأعمدة أصفرا يبقى بدالي اقول اتنين + +177 +00:16:44,290 --> 00:16:52,670 +زيرو تلاتة واحد زيرو ناقص واحد ناقص تلاتة زيرو + +178 +00:16:52,670 --> 00:17:00,230 +اتنين كده قيمة المحدد هذا؟صفر لأن أحد الأعمدة كان + +179 +00:17:00,230 --> 00:17:04,410 +أصفر يبقى إذا كان أحد الصفوف أصفر أو أحد الأعمدة + +180 +00:17:04,410 --> 00:17:10,230 +أصفر فقيمة هذا المحدد يساوي zero بتعرفوا ليش؟لان + +181 +00:17:10,230 --> 00:17:14,210 +انا بدي افكر المحدد باستخدام العمودي الثاني يبقى + +182 +00:17:14,210 --> 00:17:18,090 +zero في محدده ناقص zero في محدده زائد zero ومحدد + +183 +00:17:18,090 --> 00:17:22,770 +كله ب zero يبقى خلاص النتيجة تساوي zero الخاصية + +184 +00:17:22,770 --> 00:17:25,150 +ثالثة طبعا انا اخدتها في الثانوية يبقى احنا بس + +185 +00:17:25,150 --> 00:17:34,290 +بنعيد او بنذكر بها تذكر if if every element اذا + +186 +00:17:34,290 --> 00:17:38,610 +كان كل عنصر in one + +187 +00:17:39,970 --> 00:17:50,310 +raw أو call في أي صفقة أو في عمودي of a is + +188 +00:17:50,310 --> 00:17:59,310 +multiplied لو + +189 +00:17:59,310 --> 00:18:08,070 +ضربناه by the number c + +190 +00:18:11,190 --> 00:18:19,670 +then the determinant of + +191 +00:18:19,670 --> 00:18:30,790 +the resulting matrix محدد + +192 +00:18:30,790 --> 00:18:37,850 +المصوفة الناتجة equals to + +193 +00:18:39,320 --> 00:18:45,940 +C في الـ determinant للـ A يبقى C في ال + +194 +00:18:45,940 --> 00:18:59,340 +determinant للـ A for example مثلا + +195 +00:18:59,340 --> 00:19:06,730 +قولي تلاتة في المحددناخد المحدد اللي فوق ولا بس + +196 +00:19:06,730 --> 00:19:12,030 +نغير الأصفر أي واحد من اللي فوق يبقى لو قلت اتنين + +197 +00:19:12,030 --> 00:19:19,450 +تلاتة واحد ناقص واحد zero اتنين ناقص تلاتة واحد + +198 +00:19:19,450 --> 00:19:21,790 +ناقص اتنين بالشكل اللي عندنا + +199 +00:19:24,560 --> 00:19:30,680 +إذا بدى أضرب هذا الرقم فيه محددش بقول إذا كان كل + +200 +00:19:30,680 --> 00:19:35,360 +ال .. إذا كان every element in one row أوكن of A + +201 +00:19:35,360 --> 00:19:40,520 +is multiplied by a number C يعني ضربنا C في أحد + +202 +00:19:40,520 --> 00:19:44,160 +الصفوف يعني في جميع العناصر اللى موجودة فيها + +203 +00:19:44,160 --> 00:19:48,760 +الصفوف أو أحد الأعمدة في جميع عناصر أحد الأعمدة + +204 +00:19:49,090 --> 00:19:53,850 +then the determinant of the resulting matrix محدد + +205 +00:19:53,850 --> 00:19:58,230 +المصوفة الناتجة equal to C في ال determinant لA + +206 +00:19:58,230 --> 00:20:02,430 +كانوا بيقولوا يخلوا ال C برا و يجيبوا المحدد لحاله + +207 +00:20:02,430 --> 00:20:06,890 +و يضربوا في ال C اه ايش معنى هذا الكلام استنوا + +208 +00:20:06,890 --> 00:20:13,070 +شويةمعنى هذا الكلام أنه لو ضربت رقم فيه محدد يبقى + +209 +00:20:13,070 --> 00:20:18,410 +هذا الرقم بدي أضربه في جميع عناصر المحدد ولا بس في + +210 +00:20:18,410 --> 00:20:19,750 +صف أو عمود + +211 +00:20:23,270 --> 00:20:27,930 +في صفة أو عمود بس في المصفوفة إذا ربط رقم في + +212 +00:20:27,930 --> 00:20:32,310 +مصفوفة بضغط فيه جميع عناصر المصفوفة بلا استثناء + +213 +00:20:32,310 --> 00:20:36,830 +لكن في حالة المحددة بتضرب رقم في محدد بتضربه فقط + +214 +00:20:36,830 --> 00:20:42,210 +في أحد الصفوف أو أحد الأعمد اللي يعجبك فيهم + +215 +00:20:42,210 --> 00:20:46,890 +وبالتالي ماعندهاش مشكلة وبالتالي لو عندي مقدار + +216 +00:20:46,890 --> 00:20:51,470 +مشترك أو رقم مشترك بين عناصر أي صف أو عناصر أي + +217 +00:20:51,470 --> 00:20:55,690 +عمود فيجب نقوله خده برابصير كأنه مضروب في كل + +218 +00:20:55,690 --> 00:21:02,950 +المحدد اه يعني هذا بقدر اكتبه يساوي ايه المحدد؟ + +219 +00:21:02,950 --> 00:21:07,690 +ايه رأيك نضربه في الصفة التانية؟تانى او العمود + +220 +00:21:07,690 --> 00:21:10,690 +التالت او العمود الاول او اصلا ايه اللي بديه كيه و + +221 +00:21:10,690 --> 00:21:14,550 +ايه كل واحدة تضرب في صينته هذا بيعتبر تلت اصول تلت + +222 +00:21:14,550 --> 00:21:18,350 +عملية ستة كل واحدة تضرب شكل و تطلع النتج هتلاقي + +223 +00:21:18,350 --> 00:21:23,050 +كلهم يسووا بعض تمام؟ اذا هذا الكلام بده يسوي لو + +224 +00:21:23,050 --> 00:21:27,850 +ضربت في العمود الاول بيصير ستة سالب تلاتة سالب + +225 +00:21:27,850 --> 00:21:32,630 +تسعة و هنا تلاتة زيروا واحد واحد اتنين سالب اتنين + +226 +00:21:32,630 --> 00:21:41,060 +شكل انايبقى لو ضربت رقم فيه محدد هذا بضربه في أحد + +227 +00:21:41,060 --> 00:21:45,100 +الصفوف أو أحد الأعمدة اللي يجي في بالك ضربه فيه + +228 +00:21:45,100 --> 00:21:52,320 +وفي المقابل لو كان عندي عامل مشترك بين أحد الأعمدة + +229 +00:21:52,320 --> 00:21:57,120 +أو أحد الصفوف بقدر أعمل مشترك أطلعه برا المحدد + +230 +00:21:57,120 --> 00:22:01,340 +فمثلا لو أنا ناس هنا ماعيش خبر هذي وجهت هذي في + +231 +00:22:01,340 --> 00:22:07,080 +بينهم عامل مشترك في تلاتةوفي سالب تلاتة كمان يعني + +232 +00:22:07,080 --> 00:22:11,320 +انا ممكن بدل تلاتة اخد سالب تلاتة واروح اقولك هذا + +233 +00:22:11,320 --> 00:22:17,580 +يساوي سالب تلاتة في المحدد بيظل هنا كدهش سالب + +234 +00:22:17,580 --> 00:22:23,340 +اتنين تلاتة واحد بيظل هنا واحد و بيظل هنا zero + +235 +00:22:23,340 --> 00:22:29,120 +اتنين و بيظل هنا تلاتة و هنا واحد و هنا سالب اتنين + +236 +00:22:29,680 --> 00:22:34,840 +هي عندك تلات محددات في الكهادة لحد في الكهادة لحد + +237 +00:22:34,840 --> 00:22:38,120 +وضربيه تلاتة في الكهادة وضربيه في سلب تلاتة كله + +238 +00:22:38,120 --> 00:22:43,480 +بدي أطلع نفسي الإجابة يبقى إذا ضربت عدد في محدد + +239 +00:22:43,480 --> 00:22:47,660 +بضرب بس في أحد الصفوف أو أحد الأعمدة إذا بدي أعمل + +240 +00:22:47,660 --> 00:22:52,500 +العملية العكسية لو في عمل مشترك من أحد الصفوف أو + +241 +00:22:52,500 --> 00:22:57,500 +أحد الأعمدة باخده برا أيه عشان برا المحدد دي .. دي + +242 +00:22:57,500 --> 00:22:57,980 +آية + +243 +00:23:01,080 --> 00:23:05,440 +عامل مشترك وضربته في صفة عمود يعني واحد تاني غير + +244 +00:23:05,440 --> 00:23:08,540 +ان انا اخد منه راح يطلع نفس الاشي صحيح بتقول + +245 +00:23:08,540 --> 00:23:13,080 +زملتكم ما ياتي افترض اني اخدت انا عامل مشترك هنا + +246 +00:23:13,080 --> 00:23:17,860 +اخدته من مين اخدته من العمود الاول بدروح اضربه في + +247 +00:23:17,860 --> 00:23:23,230 +الصفة التانيةتضرب في الصف التاني، مظبوط ولا لا؟ هل + +248 +00:23:23,230 --> 00:23:27,470 +ستتغير قيمة المحدد؟ لا، اضرب في أي صفة يعمد اللي + +249 +00:23:27,470 --> 00:23:31,150 +بدكيا، كل واحدة تضرب الشكل وروح أحسب النتج زي ما + +250 +00:23:31,150 --> 00:23:38,170 +كنا بنحسبه قبل قليل، كله سيعطيني نفس النتيجة ننتقل + +251 +00:23:38,170 --> 00:23:46,370 +الآن إلى الخاصية الرابعة، الخاصية الرابعة بتقول + +252 +00:23:46,370 --> 00:23:46,630 +F + +253 +00:23:50,880 --> 00:24:02,560 +two rows او columns اذا عندي صفين او عمودين اذا + +254 +00:24:02,560 --> 00:24:08,280 +عندي صفين او عمودين اذا عندي صفين او عمودين اذا + +255 +00:24:08,280 --> 00:24:08,300 +عندي صفين او عمودين اذا عندي صفين او عمودين اذا + +256 +00:24:08,300 --> 00:24:08,540 +عندي صفين او عمودين اذا عندي صفين او عمودين اذا + +257 +00:24:08,540 --> 00:24:15,840 +عندي صفين او عمودين اذا عندي صفين او عم + +258 +00:24:21,140 --> 00:24:34,280 +determinant of the resulting matrix محدد المصوفة + +259 +00:24:34,280 --> 00:24:40,380 +النتيجة equals equals + +260 +00:24:40,380 --> 00:24:48,920 +to minus the determinant لل A for example + +261 +00:25:11,730 --> 00:25:17,970 +الخاصية دي يا بنات بتقوللو بدلت صف مكان صف أو عمود + +262 +00:25:17,970 --> 00:25:22,810 +مكان عمود يبقى في هذه الحالة بتتفضل قيمة المحدد كم + +263 +00:25:22,810 --> 00:25:28,530 +هي بس بتجين امين اشارة سالب فقط لا غير طلعي لي هنا + +264 +00:25:28,530 --> 00:25:33,790 +هاي ناقص اتنين ستة خمس هنبدل اي صف بدكيا او اي + +265 +00:25:33,790 --> 00:25:39,150 +عمود حب نبدل اي صف ولا اي عمود صف ولا عمود صف صف + +266 +00:25:39,150 --> 00:25:40,490 +صف صف صف صف صف صف صف صف صف صف صف صف صف صف صف صف صف + +267 +00:25:40,490 --> 00:25:43,750 +صف صف صف صف صف صف صف صف صف صف صف صف صف صف صف صف صف + +268 +00:25:43,750 --> 00:25:44,640 +صف صف صف صف صف صف صف صف صف صف صف صف صف صفبتاني + +269 +00:25:44,640 --> 00:25:49,580 +ومين؟ و التالت .. التاني و التالت يبقى هذا بالضبط + +270 +00:25:49,580 --> 00:25:55,040 +بدي يسوي سلب الأول زي ما هو هي ستة خمسة وهي اتنين + +271 +00:25:55,040 --> 00:26:01,060 +ناقص خمسة واحد وهي واحد زير و تلاتة المحدد هذا هو + +272 +00:26:01,060 --> 00:26:05,600 +نفس القيمة اللي عندها دي بس بإشارة سالب طب كيف بدي + +273 +00:26:05,600 --> 00:26:12,850 +أتأكد؟good exercise لك روح اسمه للمحدد هذا والمحدد + +274 +00:26:12,850 --> 00:26:18,770 +التاني هتلاقي نفس القيمة بس بإشارة مخالفة طيب + +275 +00:26:18,770 --> 00:26:28,090 +النقطة الخامسة النقطة الخامسة if two rows if two + +276 +00:26:28,090 --> 00:26:36,790 +rows او columns اذا كان عند صفين او عمودين of + +277 +00:27:01,180 --> 00:27:11,940 +المحدد ثلاث اربع واحد زيروأو هنا zero على هذا + +278 +00:27:11,940 --> 00:27:20,820 +التلتة هنا zero هنا اتنين هنا zero واحد خمسة واحد + +279 +00:27:25,720 --> 00:27:31,400 +ماشي بقول ليه؟ بقول إذا تساوى صفاني أو عمودان فإن + +280 +00:27:31,400 --> 00:27:36,780 +قيمة المحدد تساوي zero فى عندى صفين متساوين أو + +281 +00:27:36,780 --> 00:27:41,980 +عمودين متساوية؟ آه عندنا العمود الأول والعمود + +282 +00:27:41,980 --> 00:27:47,260 +الثالث هذا العمود وهذا العمود هذول اتنين مالهم + +283 +00:27:47,260 --> 00:27:57,780 +بساووا بعض إذا قيمة المحدد يساوي zero نتكدلأ مكفك + +284 +00:27:57,780 --> 00:28:03,360 +سنة قبل هذا دوري يبقى بدأ أفكه باستخدام عناصر + +285 +00:28:03,360 --> 00:28:08,840 +الصفة الثانية ليش ان فيها صفار كتير يبقى بقوله هاي + +286 +00:28:08,840 --> 00:28:15,560 +سالب zero الأولاني اللي بعده زائد اتنين فيه أشط + +287 +00:28:15,560 --> 00:28:23,690 +بصفه و أشط بعموضه بيظل تلاتة ناقص تلاتةيبقى تلاتة + +288 +00:28:23,690 --> 00:28:28,330 +ناقص تلاتة واللي بعده ناقص زيرو في محدد بزيرو يبقى + +289 +00:28:28,330 --> 00:28:33,750 +الجواب كده؟ يساوي زيرو يبقى إذا تساوى صفاني أو + +290 +00:28:33,750 --> 00:28:39,310 +عموداني في محدد فإن قيمة هذا المحدد تساوي صفرا + +291 +00:28:39,310 --> 00:28:43,890 +الخاصية السادسة بقول any determinant + +292 +00:28:52,120 --> 00:28:59,480 +can be written as + +293 +00:28:59,480 --> 00:29:14,000 +some كمجموع of two determinants كمجموع + +294 +00:29:14,000 --> 00:29:17,100 +محددين for example + +295 +00:29:21,530 --> 00:29:35,450 +لو عندي المحدد a b زائد اتنين c x y ناقص واحد z l + +296 +00:29:35,450 --> 00:29:44,030 +m زائد تلاتة k يبقى دا يساوي + +297 +00:29:46,960 --> 00:29:51,980 +هذا محدد بقدر اكتب على شكل مجموع محدد كيف كان + +298 +00:29:51,980 --> 00:30:10,240 +التالي a b c x y z l l m k z العمودين هذول زي ما + +299 +00:30:10,240 --> 00:30:18,710 +هماايش زي مهمة يعني axl العمودي تاني ينظل اتنين هو + +300 +00:30:18,710 --> 00:30:23,570 +سالب واحد و تلاتة يبقى اتنين و سالب واحد و تلاتة + +301 +00:30:23,570 --> 00:30:30,230 +لبعده czk ايش + +302 +00:30:30,230 --> 00:30:37,490 +قصدك تقولقصد اقول ما يأتي طالعليك كويس ان لو عندي + +303 +00:30:37,490 --> 00:30:45,050 +محدد بقدر اكتبه على شكل مجموع محددين بمسك اي عمود + +304 +00:30:45,050 --> 00:30:50,530 +منهم او اي صف و بجزء الى جزرين و الصفين التانيات + +305 +00:30:50,530 --> 00:30:55,730 +او العمود التانيين بظلوا ثابتين لا يتغيروا يعني + +306 +00:30:55,730 --> 00:30:58,730 +انا مسكته و حاطط ايه بس يعني لو قلتلك مثلا اعطيته + +307 +00:30:58,730 --> 00:31:05,930 +ارقامأرقام وليس زي ما نكتب يعني مثلا لو جيت قلتلك + +308 +00:31:05,930 --> 00:31:12,010 +انا عندي المحدد اتنين تلاتة Zero واحد ناقص واحد + +309 +00:31:12,010 --> 00:31:20,790 +خمسة تلاتة ناقص اتنين وهي Zero كويس؟ بدي اكتبه على + +310 +00:31:20,790 --> 00:31:27,990 +شكل مجموع محددين اه بقدر اكتبه يساوي تختار ان نفصل + +311 +00:31:27,990 --> 00:31:33,510 +مين؟ مين من الأعمد هذه؟الأول ما .. التاني التاني + +312 +00:31:33,510 --> 00:31:36,670 +يا عزيزي ما نبديش اقارن اخليه ازاي بالحرف الواحد + +313 +00:31:36,670 --> 00:31:39,750 +يعني القرآن لا اي واحد من الاعمل اخد اللي بدي اكتر + +314 +00:31:39,750 --> 00:31:45,310 +فترضي الأول يبقى الأول بدي اكتب واحد و تلاتة و + +315 +00:31:45,310 --> 00:31:52,470 +zero و واحد و ناقص واحد و خمسة و هذا واحد مثلا و + +316 +00:31:52,470 --> 00:31:57,890 +ناقص اتنين و zeroيبقى العمودين التانية تثبتهم كما + +317 +00:31:57,890 --> 00:32:03,170 +هم يبقى زاد العمود الأول هذا اتنين خات من واحد جدش + +318 +00:32:03,170 --> 00:32:08,710 +بظال واحد الصفين العمودين التانية زي ما هما هذا + +319 +00:32:08,710 --> 00:32:13,200 +خات من واحد جدش بظال واحدواحد أخدت من واحد بيظل + +320 +00:32:13,200 --> 00:32:18,620 +كده؟ بيظل Zero تمام سالب واحد وخمس زي ما هو + +321 +00:32:18,620 --> 00:32:24,160 +التلاتة أخدت من واحد كده؟ بيظل اتنين ناقص اتنين + +322 +00:32:24,160 --> 00:32:29,420 +Zero احس بقيمة المحدد هذا واحس بقيمة المحددين + +323 +00:32:29,420 --> 00:32:34,400 +اتنين التانيات بتلاقي الاتنين are the same أو كما + +324 +00:32:34,400 --> 00:32:38,260 +قالت إحدى كنا قبل قليل Good exercise + +325 +00:32:41,750 --> 00:32:46,990 +أنا بهمن تعرف الخاصية وليس تعرف تجيب مثال عليها + +326 +00:32:46,990 --> 00:32:53,650 +أنا بهمن الخاصية in general يبقى دي كانت الخاصية + +327 +00:32:53,650 --> 00:32:59,230 +السادسة نيجي للخاصية السابعة الخاصية السابعة بتقول + +328 +00:32:59,230 --> 00:33:04,490 +ما يأتي بتقول if a multiple of + +329 +00:33:11,300 --> 00:33:19,440 +one row او column اذا كان مضاعفات اي صفر عمول of a + +330 +00:33:19,440 --> 00:33:37,320 +matrix A of a matrix A is added is added عضفنا to + +331 +00:33:37,320 --> 00:33:37,880 +another + +332 +00:33:43,990 --> 00:33:48,770 +to produce مشان + +333 +00:33:48,770 --> 00:34:01,530 +ينتجوا عندنا a matrix B then determinant + +334 +00:34:01,530 --> 00:34:05,030 +للـA بدى يسوي determinant للـB + +335 +00:34:15,310 --> 00:34:21,410 +أجراء الخاصية كويسأظن كنا بنعمل هذه في عملية الصف + +336 +00:34:21,410 --> 00:34:26,870 +البسيطة بنقول لا يتغير حل ال system مظبوط؟ بجي + +337 +00:34:26,870 --> 00:34:31,250 +نضرب أي معادلة في رقم و نضيفه لصف تاني وبالتالي + +338 +00:34:31,250 --> 00:34:36,590 +ماكانش بيحصل لنا أي تغير دي بيجي نقول إذا ضربت أي + +339 +00:34:36,590 --> 00:34:41,850 +صف أو أي عمود في رقم و أضفته إلى صف ثاني أو عمود + +340 +00:34:41,850 --> 00:34:48,930 +ثاني فلا تتغير قيمة المحددطلع لي هناش بقول if a + +341 +00:34:48,930 --> 00:34:54,270 +multiple of one row او كل اذا كان مضاعفات اي صف أو + +342 +00:34:54,270 --> 00:34:57,950 +عمود ضربنا في اتنين في تلاتة في عشرة في ناقص خمسة + +343 +00:34:57,950 --> 00:35:03,570 +زي ما بدك of a matrix is added to another يعني انا + +344 +00:35:03,570 --> 00:35:07,250 +جيت على المصفوف ومسكت احد الصفوف وضربت في رقم + +345 +00:35:07,250 --> 00:35:12,370 +اواحد اللي عمده وضربت في رقم واضفته الى صف اخر او + +346 +00:35:12,370 --> 00:35:17,670 +عمود اخريتبقى قيمة المحدد تبع المصوفة الأصلية + +347 +00:35:17,670 --> 00:35:22,750 +والمصوفة الجديدة اتنين زي بعض ي added to another + +348 +00:35:22,750 --> 00:35:27,410 +يعني إذا ضربت في صفف بضيفه لصفف آخر ليس بضرورة + +349 +00:35:27,410 --> 00:35:30,470 +الصفف اللي بعده و اللي بعده يمكن اللي بعده بعده أو + +350 +00:35:30,470 --> 00:35:34,610 +ما بعده بعده حيفا تمام يبقى ليس اللي وراه مباشرة + +351 +00:35:34,610 --> 00:35:40,650 +ممكن تبعد شوية ماعناش مشكلةMatrix A is added to + +352 +00:35:40,650 --> 00:35:45,110 +another to produce A number B then determinant ل A + +353 +00:35:45,110 --> 00:35:51,070 +بده يسوي determinant ل B يبقى محدد المصحوف A يسوي + +354 +00:35:51,070 --> 00:35:56,850 +محدد B يعني ضرب أي صف في رقم وإضافته إلى صف آخر أو + +355 +00:35:56,850 --> 00:36:01,580 +ضرب أي عمود في رقم وإضافته إلى عمود آخرلا يغير من + +356 +00:36:01,580 --> 00:36:06,720 +قيمة محدد المصفوفة الناتجة هذه اللي بتقوله هذه + +357 +00:36:06,720 --> 00:36:13,140 +الخاصية الخاصية الثامنة والاخيرة بتقول ما يأتي + +358 +00:36:13,140 --> 00:36:26,320 +بتقول if ال a and ال b are both matrices are both + +359 +00:36:27,020 --> 00:36:35,600 +matrices كانت تنتهي من صفوفات of order n اتنين + +360 +00:36:35,600 --> 00:36:45,440 +مرات بانونية then determinant لل a في ال b يساوي + +361 +00:36:45,440 --> 00:36:53,880 +ال determinant لل a في ال determinant لل b for + +362 +00:36:53,880 --> 00:37:06,790 +exampleكمثال على ذلك if ال a تساوي واحد اتنين ناقص + +363 +00:37:06,790 --> 00:37:17,030 +اتنين تلاتة and ال b بدها تساوي zero تلاتة ناقص + +364 +00:37:17,030 --> 00:37:20,430 +واحد ناقص واحد then + +365 +00:37:29,180 --> 00:37:33,840 +خلّي بالكامل يبقى الخاصية بتقول ليش بتقول لو عندي + +366 +00:37:33,840 --> 00:37:38,000 +مصوفين A وB من نفس النظام أو من نفس ال size ال + +367 +00:37:38,000 --> 00:37:41,500 +order لهم يساوي in then determinant لل A في B + +368 +00:37:41,500 --> 00:37:45,700 +بيبقى يساوي determinant لل A في B يعني محدد حاصل + +369 +00:37:45,700 --> 00:37:52,520 +ضرب مصوفين يساوي حاصل ضرب المحدد دايما تماما يبقى + +370 +00:37:52,520 --> 00:37:58,430 +لو أنا جيت أخدت ال A في ال Bيبقى بالداجة اقول له + +371 +00:37:58,430 --> 00:38:03,990 +واحد اتنين ناقص اتنين تلاتة في بيه ال zero تلاتة + +372 +00:38:03,990 --> 00:38:08,750 +سالب واحد سالب واحد يساوي يبقى الصف الأول في + +373 +00:38:08,750 --> 00:38:13,910 +العمود الأول zero سالب اتنين الصف الأول في العمود + +374 +00:38:13,910 --> 00:38:19,470 +التاني تلاتة وسالب اتنين اللي هو واحدصف الثاني في + +375 +00:38:19,470 --> 00:38:25,670 +العمود الأول بـ-3 صف الثاني في العمود التاني بـ-6 + +376 +00:38:25,670 --> 00:38:35,790 +و-3 بـ 9الان بداش ياخد ال determinant لل a في b + +377 +00:38:35,790 --> 00:38:42,610 +يبقى هذا بيسوي المحدد سلب اتنين سلب تلاتة سلب تسعة + +378 +00:38:42,610 --> 00:38:50,690 +يبقى الرئيسي ناقصي ثانوي اتنين في تسعة بقداش تمام + +379 +00:38:53,690 --> 00:38:59,450 +زائد واحد في تلاتة بتلاتة يبقى الجواب كده؟ واحد + +380 +00:38:59,450 --> 00:39:05,990 +وعشرين، تمام؟ الرئيسي ناقص الثانوي، الثانوي حاصلي + +381 +00:39:05,990 --> 00:39:10,330 +ضربه ناقص يبقى مع ناقص بصير زائد، بالداجي لل + +382 +00:39:10,330 --> 00:39:19,100 +determinant للإيه؟Determinant لمن؟ لـB ويسوي محدد + +383 +00:39:19,100 --> 00:39:31,830 +المصوفة 1-2-3 في محدد المصوفة B03-1-1هذا الكلام + +384 +00:39:31,830 --> 00:39:37,430 +يساوي المصوفة الأولانية الرئيسي ناقصي الثانوي + +385 +00:39:37,430 --> 00:39:43,590 +الرئيسي بقداش يا بنات تلاتة والثانوي بقداش أربعة + +386 +00:39:43,590 --> 00:39:51,470 +في المحدد التاني الرئيسي Zero ناقص مع ناقص تلاتة + +387 +00:39:51,470 --> 00:39:57,730 +بيصير زائد تلاتة تمام النتيجة تساوي تلاتة وأربعة + +388 +00:39:58,490 --> 00:40:06,230 +7×3 هو 21 يبقى النتيجة 21 زي ما قلنا هنا يبقى + +389 +00:40:06,230 --> 00:40:09,250 +دائما وابقى تاخدها قاعدة من الآن فصاعدا + +390 +00:40:09,250 --> 00:40:15,090 +determinant للـA في الـB يساوي determinant لـA في + +391 +00:40:15,090 --> 00:40:22,570 +determinant لـB خديلها الفرضية المساعدة نسميها لم + +392 +00:40:30,350 --> 00:40:46,070 +بقول F to adjacent elements F to adjacent elements + +393 +00:40:46,070 --> 00:40:51,830 +elements + +394 +00:40:51,830 --> 00:40:57,130 +in a permutation + +395 +00:40:59,530 --> 00:41:07,490 +and a permutation are interchange + +396 +00:41:07,490 --> 00:41:15,910 +then + +397 +00:41:15,910 --> 00:41:23,010 +the parity of + +398 +00:41:23,010 --> 00:41:23,990 +the permutation + +399 +00:41:30,600 --> 00:41:38,320 +of the permutation even or + +400 +00:41:38,320 --> 00:41:44,480 +odd هدي و هدي as it changed + +401 +00:42:17,050 --> 00:42:23,270 +example consider the + +402 +00:42:23,270 --> 00:42:28,070 +set لواحد + +403 +00:42:28,070 --> 00:42:38,410 +واتنين تلاتة أربعة خمسة take the permutation take + +404 +00:42:38,410 --> 00:42:39,510 +the + +405 +00:42:42,670 --> 00:42:57,490 +Permutation خلّى ال permutation علي + +406 +00:42:57,490 --> 00:43:02,050 +بالك هنا احنا الان ماخدين ال permutation اللى + +407 +00:43:02,050 --> 00:43:06,130 +عندنا بدى اخد تبديلة منها اختار التبديلة اللى بدك + +408 +00:43:06,130 --> 00:43:11,540 +اياهايلا واحد اقولي التبديل اللي تعجبك يلا هي + +409 +00:43:11,540 --> 00:43:16,380 +الأرقام قدامك بدل زي ما بدك تلاتة ايوة تلاتة و + +410 +00:43:16,380 --> 00:43:24,120 +واحد واحد خمسة خمسة ايوة اربعة اربعة اربعة اربعة + +411 +00:43:24,120 --> 00:43:24,220 +اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة + +412 +00:43:24,220 --> 00:43:24,380 +اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة + +413 +00:43:24,380 --> 00:43:26,060 +اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة + +414 +00:43:26,060 --> 00:43:32,020 +اربعة اربعة اربعة + +415 +00:43:32,020 --> 00:43:40,040 +اربعة اربعةin a permutation are interchange يعني + +416 +00:43:40,040 --> 00:43:44,660 +بدلت اتنين هدول مكان بعض و الباقي باقية كما هو + +417 +00:43:44,660 --> 00:43:48,680 +then the parity of the permutation even و لا odd + +418 +00:43:48,680 --> 00:43:52,040 +is exchanged يعني ايش؟ اذا كانت ال permutation + +419 +00:43:52,040 --> 00:43:56,200 +الأصلية even لجديدة، odd و اذا كانت الأصلية odd + +420 +00:43:56,200 --> 00:44:00,260 +لجديدة، even دعونا نشوف الحين أخدنا ال + +421 +00:44:00,260 --> 00:44:03,800 +permutation، هبتد أعرف هذي even و لا odd؟يبقى + +422 +00:44:03,800 --> 00:44:10,600 +بتروح أخدله Alpha 1 يساوي كده؟ 2 يبقى أخدله Alpha + +423 +00:44:10,600 --> 00:44:16,580 +2 بـ 0 يبقى أخدله Alpha 3 بـ 2 يبقى أخدله Alpha 4 + +424 +00:44:16,580 --> 00:44:23,640 +بـ 1 مظبوط؟ يبقى هذا الأن Alpha 1 زي Alpha 2 زي + +425 +00:44:23,640 --> 00:44:31,780 +Alpha 3 زي Alpha 4 يساوي 2 زي 0 زي 2 زي 1 يساوي 5 + +426 +00:44:32,590 --> 00:44:38,230 +يبقى ال permutation هذي إيش؟ odd يبقى هذي odd + +427 +00:44:38,230 --> 00:44:43,730 +permutation طيب + +428 +00:44:43,730 --> 00:44:48,990 +روح اختريلك أي رقمين منها بس اتنين بشرط يكونوا ورا + +429 +00:44:48,990 --> 00:44:53,290 +بعض مش هجيب واحد من الأول وواحد من الآخر مين؟ + +430 +00:44:55,160 --> 00:44:59,420 +خمسة واربعة بتقول زميلتكوا بتاخدوا الرقمين هدول + +431 +00:44:59,420 --> 00:45:04,700 +بقولها كويس يبقى باجي بقوله and ال permutation + +432 +00:45:04,700 --> 00:45:08,320 +تلاتة واحد اربعة خمس اتنين + +433 +00:45:12,700 --> 00:45:18,340 +بعد التلاتة يبقى واحد واتنين مافيش غير اتنين Alpha + +434 +00:45:18,340 --> 00:45:24,640 +2 تساوي Zero Alpha 3 تساوي واحد Alpha 4 تساوي واحد + +435 +00:45:25,980 --> 00:45:31,280 +يبقى الأن بالداجي لهدول اللي عندنا يبقى بالداجي + +436 +00:45:31,280 --> 00:45:36,780 +أخد ألف واحد زاد ألف اتنين زاد ألف تلاتة زاد ألف + +437 +00:45:36,780 --> 00:45:41,220 +اربعة اتنين زاد زيرو زاد واحد زاد واحد يسوي كده؟ + +438 +00:45:41,220 --> 00:45:45,480 +أربعة يبقى أصبحت ال permutation هذه + +439 +00:45:51,670 --> 00:45:57,790 +اللي هي تلاتة أو واحد أو أربعة أو خمس أو اتنين is + +440 +00:45:57,790 --> 00:46:03,870 +even يبقى يا بنات لو غيرتي بس عنصر يكونوا اتنين + +441 +00:46:03,870 --> 00:46:10,670 +ورا بعض غيرتيهم على طول الخط بصير ايش؟ بصير القدر + +442 +00:46:10,670 --> 00:46:15,130 +بتنقلب even و لو كانت even بتنقلب odd ضايل علينا + +443 +00:46:15,130 --> 00:46:22,080 +سطر واحد فقط لغير الملاحظة التاليةبقول remember + +444 +00:46:22,080 --> 00:46:30,740 +that تذكر + +445 +00:46:30,740 --> 00:46:42,280 +أن if الـ A is an n by n matrix مصموم مربع نظامها + +446 +00:46:42,280 --> 00:46:49,260 +n في m بس بشرط upper or lower + +447 +00:46:52,570 --> 00:47:03,210 +A triangle A triangle matrix then + +448 +00:47:03,210 --> 00:47:06,450 +determinant + +449 +00:47:06,450 --> 00:47:18,650 +لل A بده يساوي A11 A22 A3 A3 ANN + +450 +00:47:24,450 --> 00:47:29,590 +لا يزال عندنا مجموعة من الأمثلة للمرة القادمة نعطي + +451 +00:47:29,590 --> 00:47:33,830 +هذه الأمثلة وننهي هذا ال section يعطيكم العامة + 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differential equations اللي هي المعادلات التفاضلية العادية", "tokens": [45340, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 25724, 11622, 48923, 6055, 34268, 2304, 3215, 15844, 19446, 11778, 10859, 2288, 3794, 8978, 3511, 36002, 383, 37037, 1829, 11778, 23557, 3794, 3660, 2423, 39184, 2445, 295, 2940, 9102, 23032, 3555, 3615, 995, 29538, 16490, 9640, 7435, 8717, 9566, 995, 4587, 11778, 23557, 14851, 8315, 8978, 23758, 9673, 3794, 995, 4587, 4032, 6156, 47432, 8608, 2655, 38149, 9381, 2288, 11778, 23557, 14851, 8315, 15844, 2423, 10547, 15756, 11787, 13672, 1829, 39896, 9673, 3615, 18513, 1211, 9307, 16712, 5172, 46958, 1211, 10632, 18863, 18513, 10632], "avg_logprob": -0.1288231333836596, "compression_ratio": 1.6419213973799127, "no_speech_prob": 0.0, "words": [{"start": 92.83, "end": 93.55, "word": "المعادلة", "probability": 0.9512939453125}, {"start": 93.55, "end": 94.23, "word": " التفاضلية", "probability": 0.8982421875}, {"start": 94.23, "end": 94.69, "word": " الجزيرة", 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المعادلة بدي أخليك تمرني إيدك check that", "tokens": [9566, 1211, 3615, 1829, 20292, 5551, 25513, 27884, 20666, 2304, 29245, 3660, 35186, 48127, 2407, 8032, 3215, 12610, 12174, 3215, 33599, 22807, 5551, 25513, 27884, 8608, 6027, 3555, 7251, 3555, 4587, 7578, 8717, 9307, 7435, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 8717, 9307, 7435, 7251, 3794, 995, 45865, 17182, 20449, 8315, 47395, 28259, 6156, 3615, 15040, 31439, 6225, 3555, 9640, 3660, 18871, 11331, 19528, 9957, 46740, 24192, 9673, 3615, 18513, 37977, 4724, 16254, 5551, 9778, 20292, 4117, 6055, 29973, 22653, 11933, 25708, 4117, 1520, 300], "avg_logprob": -0.27808988764044945, "compression_ratio": 1.6348314606741574, "no_speech_prob": 0.0, "words": [{"start": 603.36, "end": 604.1, "word": "طلعيلي", "probability": 0.625634765625}, {"start": 604.1, "end": 604.7, "word": " أربعة", "probability": 0.789306640625}, {"start": 604.7, "end": 605.34, "word": " بالموجة", "probability": 0.9371337890625}, {"start": 605.34, "end": 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جيت كاملت f double prime of x dx بدي يسوي تكامل للـ 12x تربية زائد 6x ناقص تمانية كله بالنسبة لمن؟ الاد إكس", "tokens": [2407, 46958, 32887, 5016, 3660, 9122, 10943, 1211, 3714, 43500, 9957, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 11933, 15730, 45164, 10874, 36081, 9122, 10943, 1211, 2655, 283, 3834, 5835, 295, 2031, 30017, 4724, 16254, 7251, 3794, 45865, 6055, 4117, 10943, 1211, 24976, 39184, 2272, 87, 6055, 25513, 10632, 30767, 16373, 3215, 1386, 87, 8717, 995, 4587, 9381, 46811, 7649, 10632, 28242, 3224, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 2423, 18513, 11933, 4117, 3794], "avg_logprob": -0.2846996629392946, "compression_ratio": 1.3793103448275863, "no_speech_prob": 0.0, "words": [{"start": 862.85, "end": 863.39, "word": "واضروحة", "probability": 0.5969482421875}, {"start": 863.39, "end": 864.07, "word": " كامل", "probability": 0.9640299479166666}, {"start": 864.07, "end": 865.13, "word": " مرتين", "probability": 0.9884440104166666}, {"start": 865.13, "end": 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يساوي", "probability": 0.7352294921875}, {"start": 890.21, "end": 891.61, "word": " اربعة", "probability": 0.6507975260416666}, {"start": 891.61, "end": 891.97, "word": " x", "probability": 0.452880859375}, {"start": 891.97, "end": 892.85, "word": " تكيب", "probability": 0.8646240234375}, {"start": 892.85, "end": 893.95, "word": " زائد", "probability": 0.88330078125}, {"start": 893.95, "end": 894.79, "word": " تلاتة", "probability": 0.958251953125}, {"start": 894.79, "end": 895.09, "word": " x", "probability": 0.97314453125}, {"start": 895.09, "end": 895.81, "word": " تربية", "probability": 0.648193359375}, {"start": 895.81, "end": 896.89, "word": " ناقص", "probability": 0.94970703125}, {"start": 896.89, "end": 897.57, "word": " تمانية", "probability": 0.9734700520833334}, {"start": 897.57, "end": 897.89, "word": " x", "probability": 0.90673828125}, {"start": 897.89, "end": 898.63, "word": " التكامل", "probability": 0.9486083984375}, {"start": 898.63, "end": 898.89, "word": " هذا", 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"probability": 0.95703125}, {"start": 907.81, "end": 908.49, "word": " c", "probability": 0.9375}], "temperature": 1.0}, {"id": 39, "seek": 93528, "start": 909.58, "end": 935.28, "text": "طيب كويس الان لكي أجيب شكل ال F of X بدي أروحها كامل كمان مرة إذا لو كملت كمان مرة بصير عند مين F of X يساوي X أص أربعة زائد X تكيب ناقص أربعة X تربية زائد CX زائد C1", "tokens": [9566, 1829, 3555, 9122, 45865, 3794, 2423, 7649, 5296, 4117, 1829, 5551, 7435, 1829, 3555, 13412, 28820, 2423, 479, 295, 1783, 4724, 16254, 5551, 32887, 5016, 11296, 9122, 10943, 1211, 9122, 2304, 7649, 3714, 25720, 11933, 15730, 45164, 9122, 42213, 2655, 9122, 2304, 7649, 3714, 25720, 4724, 9381, 13546, 43242, 3714, 9957, 479, 295, 1783, 7251, 3794, 995, 45865, 1783, 5551, 9381, 5551, 25513, 27884, 30767, 16373, 3215, 1783, 6055, 4117, 1829, 3555, 8717, 995, 4587, 9381, 5551, 25513, 27884, 1783, 6055, 25513, 10632, 30767, 16373, 3215, 383, 55, 30767, 16373, 3215, 383, 16], "avg_logprob": -0.23815788846266897, 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"word": " أروحها", "probability": 0.739501953125}, {"start": 914.0, "end": 914.6, "word": " كامل", "probability": 0.9912109375}, {"start": 914.6, "end": 915.5, "word": " كمان", "probability": 0.8291015625}, {"start": 915.5, "end": 915.94, "word": " مرة", "probability": 0.98779296875}, {"start": 915.94, "end": 916.7, "word": " إذا", "probability": 0.7666015625}, {"start": 916.7, "end": 916.96, "word": " لو", "probability": 0.98974609375}, {"start": 916.96, "end": 917.66, "word": " كملت", "probability": 0.92041015625}, {"start": 917.66, "end": 918.1, "word": " كمان", "probability": 0.9759114583333334}, {"start": 918.1, "end": 918.5, "word": " مرة", "probability": 0.983642578125}, {"start": 918.5, "end": 918.98, "word": " بصير", "probability": 0.8157552083333334}, {"start": 918.98, "end": 919.26, "word": " عند", "probability": 0.884765625}, {"start": 919.26, "end": 919.8, "word": " مين", "probability": 0.79931640625}, {"start": 919.8, "end": 920.62, "word": " F", "probability": 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"end": 1241.99, "word": " اللي", "probability": 0.6898193359375}, {"start": 1241.99, "end": 1242.55, "word": " حديها", "probability": 0.8974609375}, {"start": 1242.55, "end": 1243.55, "word": " الرمز", "probability": 0.9851888020833334}, {"start": 1243.55, "end": 1246.29, "word": " IVP", "probability": 0.84814453125}, {"start": 1246.29, "end": 1248.53, "word": " is", "probability": 0.79443359375}, {"start": 1248.53, "end": 1250.43, "word": " a", "probability": 0.95556640625}, {"start": 1250.43, "end": 1251.39, "word": " differential", "probability": 0.87353515625}, {"start": 1251.39, "end": 1253.75, "word": " equation", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 53, "seek": 127963, "start": 1254.23, "end": 1279.63, "text": "يبقى هي عبارة عن معادلة تفاضلية with initial conditions مع شروط ابتدائية موجودة على المثلة example solve the initial value problem", "tokens": [1829, 3555, 4587, 7578, 39896, 6225, 3555, 9640, 3660, 18871, 20449, 18513, 37977, 6055, 5172, 46958, 1211, 10632, 365, 5883, 4487, 20449, 13412, 32887, 9566, 1975, 3555, 2655, 3215, 16373, 10632, 3714, 29245, 23328, 3660, 15844, 9673, 12984, 37977, 1365, 5039, 264, 5883, 2158, 1154], "avg_logprob": -0.12916100251933801, "compression_ratio": 1.2671232876712328, "no_speech_prob": 0.0, "words": [{"start": 1254.23, "end": 1255.01, "word": "يبقى", "probability": 0.9381103515625}, {"start": 1255.01, "end": 1255.25, "word": " هي", "probability": 0.80126953125}, {"start": 1255.25, "end": 1255.81, "word": " عبارة", "probability": 0.9921875}, {"start": 1255.81, "end": 1256.03, "word": " عن", "probability": 0.9970703125}, {"start": 1256.03, "end": 1256.61, "word": " معادلة", "probability": 0.9864908854166666}, {"start": 1256.61, "end": 1257.91, "word": " تفاضلية", "probability": 0.96279296875}, {"start": 1257.91, "end": 1259.29, "word": " with", "probability": 0.57568359375}, {"start": 1259.29, "end": 1261.75, "word": " initial", "probability": 0.69775390625}, {"start": 1261.75, "end": 1264.69, "word": " conditions", "probability": 0.94140625}, {"start": 1264.69, "end": 1265.87, "word": " مع", "probability": 0.90283203125}, {"start": 1265.87, "end": 1266.71, "word": " شروط", "probability": 0.94482421875}, {"start": 1266.71, "end": 1267.89, "word": " ابتدائية", "probability": 0.8016764322916666}, {"start": 1267.89, "end": 1268.51, "word": " موجودة", "probability": 0.9775390625}, {"start": 1268.51, "end": 1268.75, "word": " على", "probability": 0.93603515625}, {"start": 1268.75, "end": 1269.45, "word": " المثلة", "probability": 0.7367350260416666}, {"start": 1269.45, "end": 1270.45, "word": " example", "probability": 0.6767578125}, {"start": 1270.45, "end": 1274.87, "word": " solve", "probability": 0.7744140625}, {"start": 1274.87, "end": 1276.39, "word": " the", "probability": 0.908203125}, {"start": 1276.39, "end": 1277.87, "word": " initial", "probability": 0.8955078125}, {"start": 1277.87, "end": 1278.87, "word": " value", "probability": 0.9765625}, {"start": 1278.87, 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0.5712890625}, {"start": 1283.62, "end": 1284.16, "word": " prime", "probability": 0.427490234375}, {"start": 1284.16, "end": 1285.4, "word": " يسوى", "probability": 0.5946044921875}, {"start": 1285.4, "end": 1286.18, "word": " تسعة", "probability": 0.8444010416666666}, {"start": 1286.18, "end": 1286.86, "word": " E", "probability": 0.54296875}, {"start": 1286.86, "end": 1287.56, "word": " أس", "probability": 0.601806640625}, {"start": 1287.56, "end": 1288.56, "word": " ناقص", "probability": 0.947998046875}, {"start": 1288.56, "end": 1289.56, "word": " تلاتة", "probability": 0.9263916015625}, {"start": 1289.56, "end": 1289.96, "word": " X", "probability": 0.87353515625}, {"start": 1289.96, "end": 1291.2, "word": " والـ", "probability": 0.47021484375}, {"start": 1291.2, "end": 1291.54, "word": " Y", "probability": 0.76904296875}, {"start": 1291.54, "end": 1291.96, "word": " عند", "probability": 0.9853515625}, {"start": 1291.96, "end": 1292.32, "word": " الـ", "probability": 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على", "probability": 0.939453125}, {"start": 1324.01, "end": 1324.75, "word": " هذا", "probability": 0.9814453125}, {"start": 1324.75, "end": 1326.37, "word": " التعريف", "probability": 0.9970703125}, {"start": 1326.37, "end": 1327.61, "word": " التعريف", "probability": 0.988525390625}, {"start": 1327.61, "end": 1328.13, "word": " بيقول", "probability": 0.9200846354166666}, {"start": 1328.13, "end": 1328.45, "word": " ال", "probability": 0.947265625}, {"start": 1328.45, "end": 1328.89, "word": " initial", "probability": 0.68798828125}, {"start": 1328.89, "end": 1329.43, "word": " value", "probability": 0.9677734375}, {"start": 1329.43, "end": 1330.07, "word": " problem", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 56, "seek": 135407, "start": 1330.63, "end": 1354.07, "text": "هأختصرها إلى IVP مش زي التصريح اللي باخده الناس اللي كانت حالهم عمره اي يوم Vip لأ IVP هداك very important person يعني شخص مهم جدا سهل مروره عن الحواجز لأ لأ هدا IVP بقى مثلة و عليها شرور", 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"word": " مروره", "probability": 0.8770751953125}, {"start": 1348.47, "end": 1348.65, "word": " عن", "probability": 0.9580078125}, {"start": 1348.65, "end": 1349.35, "word": " الحواجز", "probability": 0.9736328125}, {"start": 1349.35, "end": 1350.15, "word": " لأ", "probability": 0.89453125}, {"start": 1350.15, "end": 1350.31, "word": " لأ", "probability": 0.749755859375}, {"start": 1350.31, "end": 1350.55, "word": " هدا", "probability": 0.747314453125}, {"start": 1350.55, "end": 1352.11, "word": " IVP", "probability": 0.931640625}, {"start": 1352.11, "end": 1352.57, "word": " بقى", "probability": 0.8079427083333334}, {"start": 1352.57, "end": 1353.11, "word": " مثلة", "probability": 0.76611328125}, {"start": 1353.11, "end": 1353.25, "word": " و", "probability": 0.97802734375}, {"start": 1353.25, "end": 1353.63, "word": " عليها", "probability": 0.861328125}, {"start": 1353.63, "end": 1354.07, "word": " شرور", "probability": 0.9796549479166666}], "temperature": 1.0}, {"id": 57, "seek": 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{"start": 1955.6, "end": 1956.32, "word": " لو", "probability": 0.9443359375}, {"start": 1956.32, "end": 1956.76, "word": " شفت", "probability": 0.8997395833333334}, {"start": 1956.76, "end": 1957.34, "word": " المعادلة", "probability": 0.962158203125}, {"start": 1957.34, "end": 1957.7, "word": " بقول", "probability": 0.936767578125}, {"start": 1957.7, "end": 1958.2, "word": " عليها", "probability": 0.993408203125}, {"start": 1958.2, "end": 1958.4, "word": " ال", "probability": 0.94091796875}, {"start": 1958.4, "end": 1958.72, "word": " linear", "probability": 0.853515625}, {"start": 1958.72, "end": 1959.26, "word": " differential", "probability": 0.90673828125}, {"start": 1959.26, "end": 1959.68, "word": " equations", "probability": 0.66162109375}, {"start": 1959.68, "end": 1960.12, "word": " ووقتاش", "probability": 0.859130859375}, {"start": 1960.12, "end": 1960.3, "word": " لو", "probability": 0.97509765625}, {"start": 1960.3, "end": 1960.86, "word": " شفتها", "probability": 0.9696044921875}], "temperature": 1.0}, {"id": 82, "seek": 198247, "start": 1961.11, "end": 1982.47, "text": "بقول ماهياش linear equation يعني ليست معادلة تفاضلية خطية بغض النظر عن الرتبة الأولى أو التانية أو التالتة أو الرابعة أو حتى رتبة أنونية تعريف بقولاش the linear differential equation المعادلة التفاضلية الخطية هي عبارة عن equation في الشكل التالي", "tokens": [3555, 39648, 19446, 3224, 1829, 33599, 8213, 5367, 37495, 22653, 32239, 14851, 20449, 18513, 37977, 6055, 5172, 46958, 1211, 10632, 16490, 9566, 10632, 4724, 17082, 11242, 28239, 19913, 2288, 18871, 34892, 2655, 49401, 16247, 12610, 7578, 34051, 16712, 7649, 10632, 34051, 16712, 6027, 2655, 3660, 34051, 34892, 16758, 27884, 34051, 11331, 49975, 12602, 2655, 49401, 14739, 11536, 10632, 37279, 16572, 5172, 4724, 39648, 33599, 264, 8213, 15756, 5367, 9673, 3615, 18513, 37977, 16712, 5172, 46958, 1211, 10632, 33962, 9566, 10632, 39896, 6225, 3555, 9640, 3660, 18871, 5367, 8978, 25124, 28820, 16712, 6027, 1829], "avg_logprob": 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0.939453125}, {"start": 1979.73, "end": 1980.19, "word": " عبارة", "probability": 0.9952392578125}, {"start": 1980.19, "end": 1980.35, "word": " عن", "probability": 0.9931640625}, {"start": 1980.35, "end": 1980.73, "word": " equation", "probability": 0.9833984375}, {"start": 1980.73, "end": 1981.01, "word": " في", "probability": 0.92724609375}, {"start": 1981.01, "end": 1981.73, "word": " الشكل", "probability": 0.954833984375}, {"start": 1981.73, "end": 1982.47, "word": " التالي", "probability": 0.9778645833333334}], "temperature": 1.0}, {"id": 83, "seek": 200732, "start": 1983.18, "end": 2007.32, "text": "a node of x في y to the derivative n من حد ما نشوف y بناته فوقه عدد إذا بين قوسين معناته مشتقة بدون أقواس معناته أُس تمام اطلع كل رمز من هذه الرموز حتى تقولك ايه بين قوسين عشان نعرف إن هذا معناه اشتقاء", "tokens": [64, 9984, 295, 2031, 8978, 288, 281, 264, 13760, 297, 9154, 11331, 3215, 19446, 8717, 8592, 38688, 288, 44945, 9307, 3224, 6156, 30543, 3224, 6225, 3215, 3215, 11933, 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"probability": 0.94482421875}, {"start": 1986.18, "end": 1986.44, "word": " to", "probability": 0.94140625}, {"start": 1986.44, "end": 1986.64, "word": " the", "probability": 0.8779296875}, {"start": 1986.64, "end": 1987.16, "word": " derivative", "probability": 0.8974609375}, {"start": 1987.16, "end": 1987.66, "word": " n", "probability": 0.5078125}, {"start": 1987.66, "end": 1988.24, "word": " من", "probability": 0.7763671875}, {"start": 1988.24, "end": 1988.54, "word": " حد", "probability": 0.970458984375}, {"start": 1988.54, "end": 1988.66, "word": " ما", "probability": 0.98779296875}, {"start": 1988.66, "end": 1989.08, "word": " نشوف", "probability": 0.8912760416666666}, {"start": 1989.08, "end": 1989.44, "word": " y", "probability": 0.7685546875}, {"start": 1989.44, "end": 1990.08, "word": " بناته", "probability": 0.7314453125}, {"start": 1990.08, "end": 1990.64, "word": " فوقه", "probability": 0.9041341145833334}, {"start": 1990.64, "end": 1991.26, "word": " عدد", "probability": 0.97314453125}, {"start": 1991.26, "end": 1991.58, "word": " إذا", "probability": 0.8447265625}, {"start": 1991.58, "end": 1991.92, "word": " بين", "probability": 0.96533203125}, {"start": 1991.92, "end": 1992.48, "word": " قوسين", "probability": 0.7474772135416666}, {"start": 1992.48, "end": 1992.98, "word": " معناته", "probability": 0.9736328125}, {"start": 1992.98, "end": 1993.68, "word": " مشتقة", "probability": 0.9415690104166666}, {"start": 1993.68, "end": 1994.7, "word": " بدون", "probability": 0.939453125}, {"start": 1994.7, "end": 1995.38, "word": " أقواس", "probability": 0.84033203125}, {"start": 1995.38, "end": 1996.14, "word": " معناته", "probability": 0.990234375}, {"start": 1996.14, "end": 1996.92, "word": " أُس", "probability": 0.7529296875}, {"start": 1996.92, "end": 1997.84, "word": " تمام", "probability": 0.71484375}, {"start": 1997.84, "end": 1999.0, "word": " اطلع", "probability": 0.7711181640625}, {"start": 1999.0, "end": 1999.7, "word": " كل", "probability": 0.642578125}, {"start": 1999.7, "end": 2000.72, "word": " رمز", "probability": 0.9959309895833334}, {"start": 2000.72, "end": 2000.96, "word": " من", "probability": 0.99169921875}, {"start": 2000.96, "end": 2001.36, "word": " هذه", "probability": 0.9560546875}, {"start": 2001.36, "end": 2002.0, "word": " الرموز", "probability": 0.93603515625}, {"start": 2002.0, "end": 2002.34, "word": " حتى", "probability": 0.879638671875}, {"start": 2002.34, "end": 2002.78, "word": " تقولك", "probability": 0.8264973958333334}, {"start": 2002.78, "end": 2003.5, "word": " ايه", "probability": 0.7327473958333334}, {"start": 2003.5, "end": 2003.88, "word": " بين", "probability": 0.69677734375}, {"start": 2003.88, "end": 2004.44, "word": " قوسين", "probability": 0.9609375}, {"start": 2004.44, "end": 2004.76, "word": " عشان", "probability": 0.7828776041666666}, {"start": 2004.76, "end": 2005.14, "word": " نعرف", "probability": 0.8213704427083334}, {"start": 2005.14, "end": 2005.4, "word": " إن", 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{"start": 2016.35, "end": 2017.41, "word": " في", "probability": 0.9453125}, {"start": 2017.41, "end": 2017.89, "word": " y", "probability": 0.92431640625}, {"start": 2017.89, "end": 2018.31, "word": " to", "probability": 0.486572265625}, {"start": 2018.31, "end": 2019.53, "word": " the", "probability": 0.90283203125}, {"start": 2019.53, "end": 2020.01, "word": " derivative", "probability": 0.8720703125}, {"start": 2020.01, "end": 2020.41, "word": " n", "probability": 0.71826171875}, {"start": 2020.41, "end": 2021.17, "word": "-1", "probability": 0.730224609375}, {"start": 2021.17, "end": 2022.19, "word": " زائد", "probability": 0.810791015625}, {"start": 2022.19, "end": 2022.87, "word": " a2", "probability": 0.98046875}, {"start": 2022.87, "end": 2023.17, "word": " of", "probability": 0.7119140625}, {"start": 2023.17, "end": 2023.53, "word": " x", "probability": 0.98876953125}, {"start": 2023.53, "end": 2023.91, "word": " y", "probability": 0.9296875}, {"start": 2023.91, "end": 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"probability": 0.429931640625}, {"start": 797.95, "end": 798.31, "word": " حد", "probability": 0.87255859375}, {"start": 798.31, "end": 798.83, "word": " بتسأل", "probability": 0.8712158203125}, {"start": 798.83, "end": 798.99, "word": " أي", "probability": 0.6513671875}, {"start": 798.99, "end": 799.35, "word": " سؤال", "probability": 0.98828125}, {"start": 799.35, "end": 799.69, "word": " هنا", "probability": 0.89501953125}, {"start": 799.69, "end": 800.69, "word": " قبل", "probability": 0.90380859375}, {"start": 800.69, "end": 800.89, "word": " أن", "probability": 0.7841796875}, {"start": 800.89, "end": 801.37, "word": " نمسح", "probability": 0.8665771484375}], "temperature": 1.0}, {"id": 35, "seek": 82806, "start": 803.2, "end": 828.06, "text": "طيب فيها انا remark قبل ان نبدأ الأمثلة وبناء على هذه ال remark بدنا ناخد ايه أمثلة توضيحية على الكلام اللي احنا بنقوله هذا ال remark بتقول ما يأتي remark", "tokens": [9566, 1829, 3555, 8978, 11296, 1975, 8315, 7942, 12174, 36150, 16472, 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"text": "from the above theorem من النظرية اللي قدامنا هذه if ال y1 و ال y2 و ال yn are linearly independent solutions", "tokens": [20579, 264, 3673, 20904, 9154, 28239, 19913, 2288, 10632, 13672, 1829, 12174, 3215, 10943, 8315, 29538, 498, 2423, 288, 16, 4032, 2423, 288, 17, 4032, 2423, 17861, 366, 43586, 6695, 6547], "avg_logprob": -0.23901366768404841, "compression_ratio": 1.1779661016949152, "no_speech_prob": 0.0, "words": [{"start": 836.2, "end": 837.6, "word": "from", "probability": 0.437744140625}, {"start": 837.6, "end": 839.0, "word": " the", "probability": 0.7578125}, {"start": 839.0, "end": 840.88, "word": " above", "probability": 0.93701171875}, {"start": 840.88, "end": 842.68, "word": " theorem", "probability": 0.8447265625}, {"start": 842.68, "end": 844.02, "word": " من", "probability": 0.78662109375}, {"start": 844.02, "end": 844.6, "word": " النظرية", "probability": 0.9647216796875}, {"start": 844.6, "end": 844.78, "word": " اللي", "probability": 0.87255859375}, {"start": 844.78, "end": 845.38, "word": " قدامنا", "probability": 0.972412109375}, {"start": 845.38, "end": 845.76, "word": " هذه", "probability": 0.4462890625}, {"start": 845.76, "end": 847.72, "word": " if", "probability": 0.415283203125}, {"start": 847.72, "end": 849.3, "word": " ال", "probability": 0.92919921875}, {"start": 849.3, "end": 849.9, "word": " y1", "probability": 0.43475341796875}, {"start": 849.9, "end": 850.68, "word": " و", "probability": 0.513671875}, {"start": 850.68, "end": 850.8, "word": " ال", "probability": 0.87451171875}, {"start": 850.8, "end": 851.48, "word": " y2", "probability": 0.975341796875}, {"start": 851.48, "end": 852.36, "word": " و", "probability": 0.951171875}, {"start": 852.36, "end": 852.56, "word": " ال", "probability": 0.97412109375}, {"start": 852.56, "end": 853.34, "word": " yn", "probability": 0.78515625}, {"start": 853.34, "end": 855.08, "word": " are", "probability": 0.70751953125}, {"start": 855.08, "end": 856.9, "word": " linearly", "probability": 0.94287109375}, {"start": 856.9, "end": 858.22, "word": " independent", "probability": 0.95068359375}, {"start": 858.22, "end": 860.88, "word": " solutions", "probability": 0.916015625}], "temperature": 1.0}, {"id": 37, "seek": 89073, "start": 864.89, "end": 890.73, "text": "of L of Y equal to zero then that's it Y1 Y2 YN شكل اللي عندنا هذا form a basis form a basis", "tokens": [2670, 441, 295, 398, 2681, 281, 4018, 550, 300, 311, 309, 398, 16, 398, 17, 398, 45, 13412, 28820, 13672, 1829, 43242, 8315, 23758, 1254, 257, 5143, 1254, 257, 5143], "avg_logprob": -0.3692036194186057, "compression_ratio": 1.07, "no_speech_prob": 0.0, "words": [{"start": 864.89, "end": 865.51, "word": "of", "probability": 0.12286376953125}, {"start": 865.51, "end": 866.85, "word": " L", "probability": 0.50732421875}, {"start": 866.85, "end": 867.33, "word": " of", "probability": 0.81298828125}, {"start": 867.33, "end": 867.77, "word": " Y", "probability": 0.97216796875}, {"start": 867.77, "end": 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a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/eSiXtXR8S5g_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/eSiXtXR8S5g_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..d7a9c68ef65dcaf044892511af0f4b682ed2f8b7 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/eSiXtXR8S5g_raw.srt @@ -0,0 +1,1172 @@ +1 +00:00:21,010 --> 00:00:25,750 +بسم الله الرحمن الرحيم انتهينا في المرة الماضية من + +2 +00:00:25,750 --> 00:00:31,490 +chapter 4 اللى كان بتحدث عن diagonalization والان + +3 +00:00:31,490 --> 00:00:35,870 +بننتقل من موضوع الجبر الخطى لموضوع المعادلات + +4 +00:00:35,870 --> 00:00:40,250 +التفاضلية وهو أول chapter ابتدأنا به هذا المقرر + +5 +00:00:40,250 --> 00:00:43,750 +أخدنا أول chapter في المعادلة التفاضلية و بعدين + +6 +00:00:43,750 --> 00:00:48,480 +three chapters كلهم كان في الجبر الخطىالان نعود + +7 +00:00:48,480 --> 00:00:52,740 +للمعادلات التفاضلية لكن سنربطها زي ما انتوا شايفين + +8 +00:00:52,740 --> 00:00:57,600 +من خلال كلمة جدامنا بموضوع الجبر الخطي إلى حد ما + +9 +00:00:57,600 --> 00:01:02,200 +ال section اللي بين ايدينا بيقول linear + +10 +00:01:02,200 --> 00:01:06,800 +differential equations يبقى المعادلات التفاضلية + +11 +00:01:06,800 --> 00:01:11,160 +الخطية طبعا احنا ذكرنا قبل ذلك معادلة التفاضلية + +12 +00:01:11,160 --> 00:01:16,340 +الخطية لكن كانت من الرتبةالأولى فقط الان بنتقل من + +13 +00:01:16,340 --> 00:01:22,520 +الرتبة الأولى الى الرتبة النونية فبقولش a linear + +14 +00:01:22,520 --> 00:01:26,020 +differential equation of order in المعادلة + +15 +00:01:26,020 --> 00:01:30,820 +التفاضلية الخطية من الرتبة in او من الرتبة النونية + +16 +00:01:30,820 --> 00:01:35,240 +هي معادلة على الشكل التالي a node of x y to the + +17 +00:01:35,240 --> 00:01:41,290 +derivative nزائد a1xy to the derivative n-1 زائد + +18 +00:01:41,290 --> 00:01:48,150 +زائد a n-1 of x y prime زائد ال any بده يسوي + +19 +00:01:48,150 --> 00:01:53,190 +capital F of x لاحظوا ان المشتقة بدت من عند ال n و + +20 +00:01:53,190 --> 00:01:57,310 +بدت تنزل n ناقص واحد n ناقص اتنين لغاية ما وصلنا + +21 +00:01:57,310 --> 00:02:02,010 +للمشتقة الاولى و y بدون اشتقاق بده يسوي من capital + +22 +00:02:02,010 --> 00:02:07,860 +F of x وسميناها المعادلة starالان المعاملات اللي + +23 +00:02:07,860 --> 00:02:12,000 +قبل ال Y's اللي هي A0 و A1 و A2 و A3 و A4 و A5 و + +24 +00:02:12,000 --> 00:02:12,560 +A6 و A7 و A8 و A9 و A10 و A11 و A12 و A12 و A13 و + +25 +00:02:12,560 --> 00:02:16,920 +A13 و A14 و A14 و A15 و A16 و A17 و A18 و A19 و + +26 +00:02:16,920 --> 00:02:20,360 +A20 و A21 و A22 و A22 و A22 و A22 و A22 و A21 و + +27 +00:02:20,360 --> 00:02:20,840 +A21 و A21 و A21 و A21 و A21 و A21 و A21 و A21 و + +28 +00:02:20,840 --> 00:02:22,240 +A21 و A21 و A21 و A21 و A21 و A21 و A21 و A21 و + +29 +00:02:22,240 --> 00:02:22,500 +A21 و A21 و A21 و A21 و A21 و A21 و A21 و A21 و + +30 +00:02:22,500 --> 00:02:22,500 +A21 و A21 و A21 و A21 و A21 و A21 و A21 و A21 و + +31 +00:02:22,500 --> 00:02:24,420 +A21 و A21 و A21 و A21 و A21 و A21 وبنعطي تعريف أخر + +32 +00:02:24,420 --> 00:02:29,660 +لو كانت ال F of X هذه تساوي Zero يعني شيلنا ال F + +33 +00:02:29,660 --> 00:02:33,120 +of X وعطينا مكانها الصفر ال differential equation + +34 +00:02:33,120 --> 00:02:37,500 +of the star is called homogeneous يبقى ما نسميها + +35 +00:02:37,500 --> 00:02:41,240 +معادلة متجانسة دي لبالك مش ال homogeneous طبع ال + +36 +00:02:41,240 --> 00:02:46,100 +first order هناك لأ بقى هنا نقول إذا بنقدر نحط على + +37 +00:02:46,100 --> 00:02:51,060 +صيغة Y على X أو X على Y بقول عنها homogeneous بس + +38 +00:02:51,060 --> 00:02:55,020 +هنا لألو كانت المعادلة كلها تساوي 0 بقى بقول هذي + +39 +00:02:55,020 --> 00:02:59,520 +homogeneous differential equation لكن إذا كان ال F + +40 +00:02:59,520 --> 00:03:04,760 +of X لا يساوي 0 يعني أعطتني أي دالة في X بسميها + +41 +00:03:04,760 --> 00:03:08,180 +non homogeneous differential equation معادلة + +42 +00:03:08,180 --> 00:03:13,800 +تفاضلية غير متجانسة ولا تشبيه زي ما كنا نقول + +43 +00:03:13,800 --> 00:03:19,580 +homogeneous system مجموعة من المعادلات الخطية + +44 +00:03:19,580 --> 00:03:21,060 +نهائتهم Zero + +45 +00:03:23,900 --> 00:03:28,860 +معادلة خطية مجموعة لكن النتائج تبعت الطرف اليمين + +46 +00:03:28,860 --> 00:03:33,140 +اللي لا يساوي 0 قد يساوي بعضه 0 لكن على الأقل بدي + +47 +00:03:33,140 --> 00:03:37,560 +معادلة واحدة لا تساوي 0 عشان أقول عنها non + +48 +00:03:37,560 --> 00:03:42,540 +homogeneousيبقى إذا كان الطرف اليمين زيرو بسميها + +49 +00:03:42,540 --> 00:03:46,280 +homogeneous differential equation إذا non zero أي + +50 +00:03:46,280 --> 00:03:50,120 +دالة فيك تبقى بسميها non homogeneous differential + +51 +00:03:50,120 --> 00:03:53,720 +equation في عندنا بعض الملاحظات ال homogeneous + +52 +00:03:53,720 --> 00:03:57,520 +differential equation اللي عندنا هذه اللي هي تساوي + +53 +00:03:57,520 --> 00:04:03,000 +زيرو مالها بقدر اكتبها على الشكل التالي L of Y + +54 +00:04:03,000 --> 00:04:07,420 +تساوي زيرو اختصارا بدل الشكل هذا اللي هو يمين هو + +55 +00:04:07,420 --> 00:04:13,380 +ال Lالـ L بسميه مؤثر تفاضلي يعني هو المشتقة الأولى + +56 +00:04:13,380 --> 00:04:17,240 +والتانية والتالتة والربعة والنونية كلهم مع بعض + +57 +00:04:17,240 --> 00:04:22,000 +مجموعات بسميهم main اللي هو L يبقى اختصارا هكتب + +58 +00:04:22,000 --> 00:04:26,200 +بالشكل هذا وزي ما تايفيا قالت لك ال L is a linear + +59 +00:04:26,200 --> 00:04:33,310 +differential operator يبقى هو مؤثر تفاضلي خطيهذا + +60 +00:04:33,310 --> 00:04:36,630 +الملاحظة الأولى الملاحظة التانية لو أخدت element + +61 +00:04:36,630 --> 00:04:42,950 +موجود في ال vector space طبعا قبل ذلك قلنا vector + +62 +00:04:42,950 --> 00:04:50,410 +space كل ال function اللي لها مشتقات نونية تمام is + +63 +00:04:50,410 --> 00:04:55,830 +a solution of ال L of Y السوى Zero إذا كان ال F + +64 +00:04:55,830 --> 00:05:03,190 +اللي أخدتها هذه حققت المعادلة هذهيبقى المعادلة + +65 +00:05:03,190 --> 00:05:08,070 +التفاضلية اللى بشكل الخطب المؤثر هذا ههه اللى + +66 +00:05:08,070 --> 00:05:13,750 +عندنا هذه مالها المعادلة هذه لو أخدت element موجود + +67 +00:05:13,750 --> 00:05:16,770 +في ال vector space اللى عندنا و اللى جيته هو + +68 +00:05:16,770 --> 00:05:22,150 +solution ال element اللى أخدته لهذا ال system يبقى + +69 +00:05:22,150 --> 00:05:28,240 +بقدر أكتب ان ال L of F يساوي مين؟ يساوي Zeroتمام + +70 +00:05:28,240 --> 00:05:33,100 +يعني كل ال F التي تحقق ال homogenous system بقدر + +71 +00:05:33,100 --> 00:05:37,600 +اكتبها بالشكل اللي عندنا هذا تلاتة the set of all + +72 +00:05:37,600 --> 00:05:42,660 +solutions of ال L of Y بدل سوى Zero is the kernel + +73 +00:05:42,660 --> 00:05:48,060 +of L يبقى لو اعتبرت ان ال L هيLinear + +74 +00:05:48,060 --> 00:05:53,280 +Transformation أو Function أو شيء من هذا القبيل + +75 +00:05:53,280 --> 00:05:59,180 +معناته إلها كيرنل، مين هو الكيرنل؟ كل ال functions + +76 +00:05:59,180 --> 00:06:04,160 +التي تحقق من ال homogenous linear differential + +77 +00:06:04,160 --> 00:06:08,450 +equationsيبقى هو الكيرنل تبع الـL and hence these + +78 +00:06:08,450 --> 00:06:14,070 +solutions is a subspace of الـFN. ليش قال عنها + +79 +00:06:14,070 --> 00:06:19,490 +subspace؟ لأنه أثبتنا في chapter تلاتة أن الكيرنل + +80 +00:06:19,490 --> 00:06:25,310 +لأي linear transformation هوsubspace ممتاز جدا + +81 +00:06:25,310 --> 00:06:30,350 +يبقى الكيرن لهذا ال operator عبارة عن مين عبارة عن + +82 +00:06:30,350 --> 00:06:36,170 +subspace من ال set of all continuous functions + +83 +00:06:36,170 --> 00:06:41,290 +اللي المشتقات النونية تبعتها كل ما لا كلها exist + +84 +00:06:41,290 --> 00:06:46,950 +ما علينا مجرد تسميات زي ما انت شايفها ومجرد ربط + +85 +00:06:46,950 --> 00:06:51,330 +لlinear differential equations بمين بال linear + +86 +00:06:51,330 --> 00:06:55,850 +algebraنأخد بعض الخواص للـ homogeneous + +87 +00:06:55,850 --> 00:07:00,530 +differential equation اللى مكتوبة بشكل ال operator + +88 +00:07:00,530 --> 00:07:07,910 +L of Y اختصارا تساوي Zero الخاصية الأولىبقول لو + +89 +00:07:07,910 --> 00:07:12,710 +أخدت element موجود في set of real number و أخدت + +90 +00:07:12,710 --> 00:07:16,770 +element هذا ال element هذا حقق المعادلة اللي فوق + +91 +00:07:16,770 --> 00:07:23,090 +يبقى هذا ال element صار solution للمعادلة يبقى cf + +92 +00:07:23,090 --> 00:07:27,610 +is a solution ايش يعني يعني لو كان عندي حل + +93 +00:07:27,610 --> 00:07:32,490 +المعادلة التفاضلية و ضربتها في كنستان النتيجة كذلك + +94 +00:07:32,490 --> 00:07:37,820 +حل و هذا كنا برضه بنستخدمه يعنيفي الشبتر الأول + +95 +00:07:37,820 --> 00:07:41,540 +يبقى ما انطبق على الشبتر الأول ينطبق هنا عالميا + +96 +00:07:41,540 --> 00:07:45,060 +على هذا الشبتر لو كان عندي function و ال function + +97 +00:07:45,060 --> 00:07:49,320 +هذه solution لهذه المعادلة يبقى ضرب هذه المعادلة + +98 +00:07:49,320 --> 00:07:55,740 +للحل في constant بيجيبلي حل أخر لمين للمعادلة + +99 +00:07:55,740 --> 00:07:59,700 +التفاضلية اللي عمناهاالنقطة الثانية لو كان عندي + +100 +00:07:59,700 --> 00:08:03,740 +حالين للمعادلة التفاضلية ال homogenous يبقى + +101 +00:08:03,740 --> 00:08:10,000 +مجموعهما كذلك عبارة عن حل الحالة التالتة هي تعميم + +102 +00:08:10,000 --> 00:08:13,680 +للحالة التانية بدل ما هما اتنين بداخليهم تلاتة + +103 +00:08:13,680 --> 00:08:17,280 +اربعة خمسة عشر عشرين قد ما يكونوا ان هما يكونوا + +104 +00:08:17,280 --> 00:08:23,250 +finite عدد محدوديبقى لو كان F1 و F2 و لغاية Fn + +105 +00:08:23,250 --> 00:08:28,250 +solutions لهذه المعادلة وعندي scholars موجودة في R + +106 +00:08:28,250 --> 00:08:34,710 +يبقى C1 F1 C2 F2 زي زي C كذلك هو عبارة عن حل مين + +107 +00:08:34,710 --> 00:08:40,030 +للمعادلة التفاضلية يبقى لو عندي حلينبقينا نقول ال + +108 +00:08:40,030 --> 00:08:44,010 +general solution constant في الأول زائد constant + +109 +00:08:44,010 --> 00:08:48,650 +في التاني ويمثل من الحل العام صحيح ولا لأ طيب لو + +110 +00:08:48,650 --> 00:08:51,630 +كانوا تلاتة أربعة يبقى constant في الأول constant + +111 +00:08:51,630 --> 00:08:54,550 +في التاني constant في التالت constant في الرابع + +112 +00:08:54,550 --> 00:09:00,750 +constant في رقم n و أجمعهم بيعطيني كذلك حل جديد + +113 +00:09:00,750 --> 00:09:04,810 +لمن لو بيعطيني ال general solution لمن لل + +114 +00:09:04,810 --> 00:09:12,380 +homogeneous systemهذه الخواص محققة دائما و أبدا لل + +115 +00:09:12,380 --> 00:09:17,280 +linear differential equations لكن ال non linear + +116 +00:09:17,280 --> 00:09:22,380 +هذا الكلام لا يحققها يعني هذا الكلام صحيح الخواص + +117 +00:09:22,380 --> 00:09:26,980 +التلاتة صحيح على ال linear differential equations + +118 +00:09:26,980 --> 00:09:30,940 +لكن على ال non linear هذا الكلام ما هوش صحيح + +119 +00:09:30,940 --> 00:09:37,840 +نعطيكي شغلة بسيطة لو عنديNon-linear differential + +120 +00:09:37,840 --> 00:09:44,740 +equation يعني زي ايش؟ زي ما نقول مثلا دلّة في X في + +121 +00:09:44,740 --> 00:09:51,960 +Y double prime زائد دلّة في X في Y prime لكل تربية + +122 +00:09:53,900 --> 00:09:58,580 +يبقى زائد دلّة في x في y تساوي zero هل هذه linear؟ + +123 +00:09:58,580 --> 00:10:02,520 +لأ لإن ال y' روحنا تقولنا تربية يعني معرفة على + +124 +00:10:02,520 --> 00:10:07,720 +الأس اتنين يبقى هذه non linear وبالتالي constant + +125 +00:10:07,720 --> 00:10:10,880 +في الأول و constant في التاني و constant في كده لا + +126 +00:10:10,880 --> 00:10:16,140 +يكون حل لمثل هذه المعادلةبنجي للنظرية اللي عندنا + +127 +00:10:16,140 --> 00:10:21,140 +بيقول لي المعاملات تبعات المعادلة الأصلية الى star + +128 +00:10:21,140 --> 00:10:26,920 +ل a0 of x و a1 of x و لغاية a1 of x are continuous + +129 +00:10:26,920 --> 00:10:34,060 +with اللي هو a0 of x لا يساوي 0 طب استنى شوية ليش + +130 +00:10:34,060 --> 00:10:41,340 +قال لي ان ال a0 of x لا تساوي 0؟ ليش اشترت ان هذه + +131 +00:10:41,340 --> 00:10:48,310 +لا تساوي 0؟طلع في المقادرة بتعرف إلى حالك، لو كانت + +132 +00:10:48,310 --> 00:10:53,370 +هذه بالـ zero، إيش بدي يحصل؟تنزل الرتبة من النونية + +133 +00:10:53,370 --> 00:10:56,990 +اقل شوية لأ انا بدي احافظ على الرتبة النونية لو + +134 +00:10:56,990 --> 00:11:00,930 +اللي بعدها كلهم كانوا اصحار ماعنديش مشكلة ليش انا + +135 +00:11:00,930 --> 00:11:06,490 +بضلها من الرتبة النونية تمام؟ اذا هو لما اشترط ان + +136 +00:11:06,490 --> 00:11:10,490 +هذه لا يستوي Zero الهدف من ذلك ان تبقى المعادلة من + +137 +00:11:10,490 --> 00:11:14,670 +الرتبة النونية لكن لو اي term من اللي بعدها طار + +138 +00:11:14,670 --> 00:11:18,720 +اتنين تلاتة ان شاء الله يطيروا كلهمبتبقى كذلك من + +139 +00:11:18,720 --> 00:11:23,500 +الرتبة النونية يبقى بيقولاش الـ homogeneous + +140 +00:11:23,500 --> 00:11:27,020 +differential ال .. ال .. ال .. ال .. ال .. ال .. + +141 +00:11:27,020 --> 00:11:27,180 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +142 +00:11:27,180 --> 00:11:27,200 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +143 +00:11:27,200 --> 00:11:28,140 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +144 +00:11:28,140 --> 00:11:28,360 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +145 +00:11:28,360 --> 00:11:28,760 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +146 +00:11:28,760 --> 00:11:29,260 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +147 +00:11:29,260 --> 00:11:29,440 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +148 +00:11:29,440 --> 00:11:29,700 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +149 +00:11:29,700 --> 00:11:30,020 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +150 +00:11:30,020 --> 00:11:30,540 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +151 +00:11:30,540 --> 00:11:35,500 +ال .. ال .. ال .. ال .. ال .. ال .. + +152 +00:11:35,500 --> 00:11:42,240 +ال .. ال + +153 +00:11:43,720 --> 00:11:48,600 +Linear operator L هو عبارة عن vector space of + +154 +00:11:48,600 --> 00:11:54,260 +dimension N يبقى مجموعة كل الحلول لهذه المعادلة هو + +155 +00:11:54,260 --> 00:11:58,780 +vector space of dimension L يساوي N خليني أسألكم + +156 +00:11:58,780 --> 00:12:07,470 +السؤال التالي لو هذه كانت تساوي Zeroهذا الترم يبقى + +157 +00:12:07,470 --> 00:12:13,910 +عطار يبقى صلة المعادلة بالشكل هذه هل هذه ممكنة ال + +158 +00:12:13,910 --> 00:12:19,990 +dimension هيكون Nلا يمكن يكون اكثر ما يمكن ان + +159 +00:12:19,990 --> 00:12:24,810 +minus one تمام اذا لما حطل الشرط هذا هو يقصده + +160 +00:12:24,810 --> 00:12:29,850 +بعينه ان هذه بدأت تبقى موجودة وبالتالي مجموعة + +161 +00:12:29,850 --> 00:12:35,750 +الحلول للمعادلة التفاضلية اللي هي ال kernel لل + +162 +00:12:35,750 --> 00:12:41,870 +operator ال dimension L يساوي N ايش يعني يعني في + +163 +00:12:41,870 --> 00:12:48,530 +عندي N من الحلول المستقلةولا واحد فيهم يعتمد على + +164 +00:12:48,530 --> 00:12:54,310 +الثاني مش vector space هذا وال dimension له نتج عن + +165 +00:12:54,310 --> 00:12:58,870 +basis وال basis شروطها ان يكونوا كل العناصر اللي + +166 +00:12:58,870 --> 00:13:02,490 +في ال business are linearly independent يبقى هذه + +167 +00:13:02,490 --> 00:13:08,930 +المعادلة لها N من الحلولوكل هذه الحلول are + +168 +00:13:08,930 --> 00:13:15,930 +linearly independent وعددها يساوي N طيب قبل أن + +169 +00:13:15,930 --> 00:13:21,370 +نبدأ الأمثلة في حد بتسأل أي سؤال هنا قبل أن نمسح + +170 +00:13:23,200 --> 00:13:28,860 +طيب فيها انا remark قبل ان نبدأ الأمثلة وبناء على + +171 +00:13:28,860 --> 00:13:34,480 +هذه ال remark بدنا ناخد ايه أمثلة توضيحية على + +172 +00:13:34,480 --> 00:13:42,560 +الكلام اللي احنا بنقوله هذا ال + +173 +00:13:42,560 --> 00:13:48,060 +remark بتقول ما يأتي remark + +174 +00:13:56,200 --> 00:14:05,760 +from the above theorem من النظرية اللي قدامنا هذه + +175 +00:14:05,760 --> 00:14:18,220 +if ال y1 و ال y2 و ال yn are linearly independent + +176 +00:14:18,220 --> 00:14:20,880 +solutions + +177 +00:14:24,890 --> 00:14:41,490 +of L of Y equal to zero then that's it Y1 Y2 YN + +178 +00:14:41,490 --> 00:14:50,730 +شكل اللي عندنا هذا form a basis form a basis + +179 +00:14:53,430 --> 00:15:01,090 +أصبح مؤسسة لكرنل + +180 +00:15:01,090 --> 00:15:17,210 +لـ L و من هنا اي + +181 +00:15:17,210 --> 00:15:17,490 +حل + +182 +00:15:22,720 --> 00:15:32,180 +and hence any solution of L of Y equal to zero has + +183 +00:15:32,180 --> 00:15:37,480 +the form بياخد + +184 +00:15:37,480 --> 00:15:50,920 +الشكل التالي Y تساو C1 Y1 C2 Y2 زائد CN YN this + +185 +00:15:50,920 --> 00:15:51,740 +solution + +186 +00:15:56,740 --> 00:16:05,180 +هذا الحل هو الـ + +187 +00:16:05,180 --> 00:16:15,920 +general solution + +188 +00:16:15,920 --> 00:16:20,460 +of L of Y + +189 +00:16:33,090 --> 00:16:43,770 +مثال امريكا show that + +190 +00:16:43,770 --> 00:16:59,390 +the functions if one of x يسوى cosine x andf2 of x + +191 +00:16:59,390 --> 00:17:12,650 +يساوي صين ال X form a basis for + +192 +00:17:12,650 --> 00:17:18,610 +the space of + +193 +00:17:18,610 --> 00:17:30,580 +solutions space of solutions ofThe differential + +194 +00:17:30,580 --> 00:17:41,820 +equation y double prime زائد y تساوي Zero نمرأ بيه + +195 +00:17:41,820 --> 00:17:51,180 +Find a solution Of + +196 +00:17:51,180 --> 00:17:56,640 +the initial value problem + +197 +00:17:59,660 --> 00:18:08,440 +Y double prime زائد Y تساوي Zero و Y عند ال by + +198 +00:18:08,440 --> 00:18:18,480 +تساوي Zero و Y prime عند ال by تساوي سالب اتنين + +199 +00:18:18,480 --> 00:18:23,160 +نجي + +200 +00:18:23,160 --> 00:18:24,580 +ل ال remark مرة ثانية + +201 +00:18:27,550 --> 00:18:31,390 +بيقول from the above theorem من النظرية اللي + +202 +00:18:31,390 --> 00:18:35,930 +قدامنا يعني طبعا بنذكرها قبل ما نبدأ قولنا لو + +203 +00:18:35,930 --> 00:18:40,930 +المعاملة الدواء المتاصل أو اي node of x لا يساوي + +204 +00:18:40,930 --> 00:18:47,530 +zero يبقى ال kernel لمين؟ ال linear operator يمثل + +205 +00:18:47,530 --> 00:18:52,630 +vector space ال dimension له يساوي nالـ remark + +206 +00:18:52,630 --> 00:18:56,850 +بتقول من النظرية اللي عندنا لو كان عندي مجموعة من + +207 +00:18:56,850 --> 00:19:01,830 +الحلول وهذه المجموعة are linearly independent + +208 +00:19:01,830 --> 00:19:06,490 +solutions للمعادلة اللي قدامنا هذه يبقى هذه + +209 +00:19:06,490 --> 00:19:08,530 +المجموعة من الحلول + +210 +00:19:12,530 --> 00:19:18,550 +مجموعة الحلول اللينيارلي independent بتكوّل أساس + +211 +00:19:18,550 --> 00:19:30,540 +لكل حلول المعادلة L of Y يستوي 0بالتالي أي حل يكون + +212 +00:19:30,540 --> 00:19:36,980 +مبني على هذه المجموعة من الحلول يعني بدي يكون اي + +213 +00:19:36,980 --> 00:19:41,840 +حل هو linear combination من هذه الحلول انها دول + +214 +00:19:41,840 --> 00:19:48,370 +basisيبقى أي حل سيكون على الصورة c1y1 زي c2y2 زي + +215 +00:19:48,370 --> 00:19:55,130 +cnyn هذا الحل بسميه الحل العام للمعادلة main اللي + +216 +00:19:55,130 --> 00:20:02,140 +عندنا اللذي يشتمل على أي حل آخرنبدأ ناخد امتلة قال + +217 +00:20:02,140 --> 00:20:07,480 +لي طبعا هذا نمر ايه؟ هذا السؤال اتنين من الكتاب + +218 +00:20:07,480 --> 00:20:14,140 +رقم ايه؟ وهذا السؤال تلاتة من الكتاب رقم ايه كذلك؟ + +219 +00:20:15,840 --> 00:20:19,300 +السؤال الاتنين الرقم ايه؟ بيقول لي بييل لي ان + +220 +00:20:19,300 --> 00:20:25,980 +الدالتين الاتنين هدول بيكونولي basis لمام لل space + +221 +00:20:25,980 --> 00:20:29,900 +تبع ال solutions تبع ال differential equation اللي + +222 +00:20:29,900 --> 00:20:33,340 +عندنا يبقى مشان أثبت له ان هدول بيكونولي basis + +223 +00:20:33,340 --> 00:20:41,150 +أولا بدي أثبت انهم حالينبعد ما أثبت إنهم حالين بدأ + +224 +00:20:41,150 --> 00:20:45,570 +أثبت إنهم linearly independent بعد ذلك لما أصبحوا + +225 +00:20:45,570 --> 00:20:48,890 +linearly independent يبقى أي حل بيكون هو linear + +226 +00:20:48,890 --> 00:20:52,810 +combination أو ال general solution هو linear + +227 +00:20:52,810 --> 00:20:58,060 +combination من الحالين الأتنينوبالتالي هدول كوّنوا + +228 +00:20:58,060 --> 00:21:05,700 +لإيه؟ Basis لمن؟ للكيرن أو لمجموعة الحلول تبع هذه + +229 +00:21:05,700 --> 00:21:10,580 +المعادلة بعد ما خلص بروح للنمر بيه قال لي هاتلي ال + +230 +00:21:10,580 --> 00:21:14,220 +solution ل ال initial problem هذه طبعا هي نفس + +231 +00:21:14,220 --> 00:21:18,420 +المعادلة اللي فوق بس روحنا أضفنا عليها مين الشروط + +232 +00:21:18,420 --> 00:21:23,480 +بنشوف كيف بدنا نعمل فيها يبقى باجي بقوله solution + +233 +00:21:25,720 --> 00:21:30,600 +أول شي بدي أثبت أن الـcos x و sin x هي عبارة عن + +234 +00:21:30,600 --> 00:21:41,350 +مين الحل يبقى f1 of x يساوي cos xهنا بلزمنا + +235 +00:21:41,350 --> 00:21:48,250 +المشتقة الثانية اذا هذا بده يخليني اجيب المشتقة + +236 +00:21:48,250 --> 00:21:55,350 +الاولى f1 prime of x تفاضل cosine مقداش بسالب sin + +237 +00:21:55,350 --> 00:22:00,730 +x هذا بده يخليني اجيب المشتقة الثانية as a + +238 +00:22:00,730 --> 00:22:08,020 +function of x يبقى سالب cosine xالان بدأت ياخد ال + +239 +00:22:08,020 --> 00:22:15,860 +yw prime زائد y يساوي zero implies إن كان هذا حل + +240 +00:22:15,860 --> 00:22:21,200 +يبقى هذا بدى يحققها وإذا مش حل ليه يمكن أن يحققها + +241 +00:22:21,390 --> 00:22:29,410 +يبقى Y W' مرتب قيمة الإمام سالب cosine X يبقى سالب + +242 +00:22:29,410 --> 00:22:36,930 +cosine X وY هي عبارة عن الحل الذي زائد cosine X كم + +243 +00:22:36,930 --> 00:22:49,190 +جمعهم يبقى هذا معناه أن F1 of X سوى cosine X is a + +244 +00:22:49,190 --> 00:22:50,790 +solution + +245 +00:23:02,730 --> 00:23:09,770 +بنفس الطريقة لو جيت للصين نفس النتيجة similar بنفس + +246 +00:23:09,770 --> 00:23:20,520 +الطريقةSimilarly, F2 تساوي صين ال X is a solution + +247 +00:23:20,520 --> 00:23:28,550 +of equation starيبقى صاروا هدول عبارة عن ايش؟ + +248 +00:23:28,550 --> 00:23:33,730 +عبارة عن حالين جال يبينني ان الاتنين هدول بيكونولي + +249 +00:23:33,730 --> 00:23:39,570 +basis لل vector space و هدول اللي هو ال vector + +250 +00:23:39,570 --> 00:23:44,170 +space يساوي مجموعة العلول بناء عليه بدي اشوف هل + +251 +00:23:44,170 --> 00:23:52,950 +الحالين linearly dependent و الله linearlyمن هنا + +252 +00:23:52,950 --> 00:23:59,790 +بدأ المطلوب الأول نمر إيه؟ بدأ أخد الـRunskin as a + +253 +00:23:59,790 --> 00:24:06,430 +function of X حل الأول cos X حل الثاني sin X + +254 +00:24:06,430 --> 00:24:15,410 +مشتقته سالب sin X مشتقته cos Xنفك المحدد يبقى + +255 +00:24:15,410 --> 00:24:20,110 +cosine تربيع ال X زائد sin تربيع ال X اللي يبقى + +256 +00:24:20,110 --> 00:24:25,970 +الداشر والواحد ماله لا يساوي Zero مدام ال رونسكين + +257 +00:24:25,970 --> 00:24:28,610 +لا يساوي Zero يبقى الاتنين هدول R + +258 +00:24:31,250 --> 00:24:42,570 +يبقى هذا يعني أن الحل الأول cos x و الحل الثاني + +259 +00:24:42,570 --> 00:24:47,830 +sin x هم مستقلين + +260 +00:24:49,550 --> 00:24:55,190 +طيب هالي في ال remark إيش بتقول بتقول لو كانوا + +261 +00:24:55,190 --> 00:25:00,390 +هدول linearly independent solutions للمعادلة يبقى + +262 +00:25:00,390 --> 00:25:06,810 +هذه المعادلة تكون basis لمن للكيرل يعني لمجموعة + +263 +00:25:06,810 --> 00:25:17,090 +الحلول يبقى هنا س أ cosine ال X and sine ال X و + +264 +00:25:17,090 --> 00:25:25,470 +لنحط عليك على شكل setthe set اليمين cosine ال X + +265 +00:25:25,470 --> 00:25:35,810 +وكذلك sine ال X form a basis for + +266 +00:25:35,810 --> 00:25:46,070 +the vector space of solutions + +267 +00:25:46,070 --> 00:25:48,810 +of + +268 +00:25:49,440 --> 00:25:57,860 +the equation start ما دول هدول بيظل يبقى أي حل + +269 +00:25:57,860 --> 00:26:04,920 +بقدر اكسبه بدلالته يبقى هنا هذا بده يعطيني there + +270 +00:26:04,920 --> 00:26:13,300 +exist constant C1 وC2 موجودات في الأرض such that + +271 +00:26:13,300 --> 00:26:26,320 +بحيث ان any solution ofEquation star is in the + +272 +00:26:26,320 --> 00:26:35,980 +form Y يسوى C1 Cos X زائد C2 Sin X + +273 +00:26:46,550 --> 00:26:49,950 +لحد هنا انتهينا من مين؟ انتهينا من المطلوب الأول + +274 +00:26:49,950 --> 00:26:53,850 +قال لي بيبينلي ان الناس بيكونولي basis لل + +275 +00:26:53,850 --> 00:26:57,130 +solutions بيبينله انه بيبينلي solutions و جيبنا + +276 +00:26:57,130 --> 00:27:01,390 +الشكل الحل العام المطلوب التاني قال لي حل ال + +277 +00:27:01,390 --> 00:27:07,650 +initial value problem مش الحل هو هذا صح ولا لأ؟ + +278 +00:27:07,650 --> 00:27:11,090 +يبقى مش ان اجيبلي ال solutions بدي اروح اجيبي + +279 +00:27:11,090 --> 00:27:18,350 +المشتقةالأولى والمشتقة الثانية واروح اعوض فيهم في + +280 +00:27:18,350 --> 00:27:22,970 +المعادلة اللى عندنا انا يبقى احنا هنا عندنا مين + +281 +00:27:22,970 --> 00:27:34,710 +عندنا نمرة بيه عندك y تساوي c1cos x زائد c2sin x + +282 +00:27:34,710 --> 00:27:47,110 +لو اشتقت هلش بتعطينيy' سالب c1 sin x زائد c2 في + +283 +00:27:47,110 --> 00:27:53,550 +cos x ال condition الأولاني المعطى اللي هو بيقول + +284 +00:27:53,550 --> 00:28:01,430 +لي مين y عند ال by تساوي قداش تساوي zero implies y + +285 +00:28:01,430 --> 00:28:09,520 +يساوي كصامية و تمانينسالب واحد يبقى سالب C1 صين + +286 +00:28:09,520 --> 00:28:17,280 +مية وتمانين يبقى زائد Zero هذا معناه ان C1 يساوي + +287 +00:28:17,280 --> 00:28:27,700 +ZeroY' تسوي كده؟ سالي باتنين يساوي Sine 180 بزيرو + +288 +00:28:27,700 --> 00:28:36,000 +و Sine 180 بسالب واحد يبقى سالب C2 يبقى C2 يساوي + +289 +00:28:36,000 --> 00:28:41,940 +اتنين و C1 يساوي واحد يبقى بروح بقوله هنا The + +290 +00:28:41,940 --> 00:28:42,860 +solution + +291 +00:28:45,370 --> 00:28:55,590 +Solution of the initial value problem is Y تساوي + +292 +00:29:10,750 --> 00:29:15,730 +لازلنا في نفس ال section و لما ننتهي بعد للمرة + +293 +00:29:15,730 --> 00:29:17,630 +القادمة ان شاء الله + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/i9JeLMWGd-k_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/i9JeLMWGd-k_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..56e5e24513d0d16f2ad1fab4c408ea709ef0da81 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/i9JeLMWGd-k_postprocess.srt @@ -0,0 +1,1600 @@ +1 +00:00:20,690 --> 00:00:25,190 +بسم الله الرحمن الرحيم انتهينا من chapter 3 اللى + +2 +00:00:25,190 --> 00:00:29,510 +بتحدث عن موضوعين اللى هو ال vector spaces و ال + +3 +00:00:29,510 --> 00:00:34,130 +linear transformations وانتقلنا الان الى chapter 4 + +4 +00:00:34,130 --> 00:00:39,150 +و هو ال chapter الثالث من ال linear algebra لأن + +5 +00:00:39,150 --> 00:00:43,670 +المادة اللى معانا معادلات تفاضلية وجبر خطي يبقى + +6 +00:00:43,670 --> 00:00:49,110 +هذا هو ال chapter الثالث والاخير من الجبر الخطيفي + +7 +00:00:49,110 --> 00:00:53,330 +هذا الشفر بدنا ناخد two sections هذا أول section + +8 +00:00:53,330 --> 00:00:57,250 +بين إيدينا اللي هو ال characteristic values + +9 +00:00:57,250 --> 00:01:01,750 +والsection التاني اللي هو ال diagonalization خلينا + +10 +00:01:01,750 --> 00:01:03,990 +الآن مع ال section الأول أربعة و واحدة اللي هو ال + +11 +00:01:03,990 --> 00:01:10,970 +characteristic values يعني القيم المميزة أو القيم + +12 +00:01:10,970 --> 00:01:16,730 +المميزةايش القيم المميزة؟ طبعا القيم المميزة + +13 +00:01:16,730 --> 00:01:22,670 +لمصفوفة ما هي المقصود فيها التعريف بيقول ما ياتي + +14 +00:01:22,670 --> 00:01:31,410 +هاعطي تعريف لقيم المميزة والمتجهات المميزة لمصفوفة + +15 +00:01:32,200 --> 00:01:39,160 +التعريف الأول هو القيم المميزة لمصفوفة بيقول افترض + +16 +00:01:39,160 --> 00:01:45,360 +ال A هي مصفوفة مربعة نظامها N في M number lambda + +17 +00:01:45,360 --> 00:01:50,920 +يبقى هذا العدد هو real numberالعدد هذا قد يكون عدد + +18 +00:01:50,920 --> 00:01:57,540 +حقيقي وقد يكون عدد تخيلي complex number يبقى سواء + +19 +00:01:57,540 --> 00:02:01,140 +كان عدد حقيقي و طبعا هنعطي أمثلة ان شاء الله على + +20 +00:02:01,140 --> 00:02:06,520 +لندن تطلع مرة قيمة حقيقية و مرة قيمة تخيليةيوجد + +21 +00:02:06,520 --> 00:02:11,120 +رمبر لامضة real or complex يعني يا إما عدد حقيقي + +22 +00:02:11,120 --> 00:02:15,800 +يا إما عدد مُركّب is called an eigenvalue بسميه + +23 +00:02:15,800 --> 00:02:20,180 +الـ eigenvalue أو الـ characteristic value القيمة + +24 +00:02:20,180 --> 00:02:25,160 +المميزة لمن؟ للمصفوفة إيه؟ if there exists a non + +25 +00:02:25,160 --> 00:02:31,200 +-zero vector x موجود في الـ RMيبقى ال X ده non + +26 +00:02:31,200 --> 00:02:34,560 +-zero عمره ما هيساوي zero دلوقت دروا بالكم non + +27 +00:02:34,560 --> 00:02:41,160 +-zero vector X موجود في Rn بحيث أن ال A في ال X + +28 +00:02:41,160 --> 00:02:45,560 +يساوي ال land ده في X ال land يا بنات A مصفوفة + +29 +00:02:45,560 --> 00:02:51,450 +نظامها N في N وال X هذي vector موجود وين؟فى RN + +30 +00:02:51,450 --> 00:02:57,630 +يعني كأنه مصفوفة فيها N من الصفوف وعمود واحد لو + +31 +00:02:57,630 --> 00:03:03,870 +ضربت اتنين في بعض يفلع مصفوفة المصفوفة هذه يمكن + +32 +00:03:03,870 --> 00:03:08,410 +اللاجئ بين جميع أنصارها عامل مشترك اخده برا اخده + +33 +00:03:08,410 --> 00:03:13,690 +برا مين هو لندن لندن بيضل فى ال vector X ان حدث + +34 +00:03:13,690 --> 00:03:20,050 +ذلك بقول يبقى لندن هي قيمة مميزة للمصفوفة Aيبقى + +35 +00:03:20,050 --> 00:03:24,650 +لاندا اللي عندى هذه عدد لكن X هذا vector يعني + +36 +00:03:24,650 --> 00:03:31,730 +مصفوفة تتكون من N من الصفوف وعمود واحد تمام إذا + +37 +00:03:31,730 --> 00:03:35,730 +جدرت أكتب هذه على الشكل اللي عندنا هذا يبقى لاندا + +38 +00:03:35,730 --> 00:03:43,640 +هذه مالها شو اسمهاEigenvalue او characteristic + +39 +00:03:43,640 --> 00:03:52,200 +value بشرط ال X non zero vector نجي + +40 +00:03:52,200 --> 00:03:57,330 +التعريف التانيEvery non-zero vector x الموجود في + +41 +00:03:57,330 --> 00:04:02,450 +Rn satisfy the question بحقق لهذا الهدف is called + +42 +00:04:02,450 --> 00:04:05,890 +the eigenvector او ال characteristic vector + +43 +00:04:12,430 --> 00:04:16,970 +أيوة يعني نفس المعادلة اللى عندنا هي نفس المعادلة + +44 +00:04:16,970 --> 00:04:22,770 +هذه يبقى ال X اللى قلنا عليه non zero vector ال X + +45 +00:04:22,770 --> 00:04:27,630 +اللى هو non zero vector اللى بحقق المعادلة هذه + +46 +00:04:27,630 --> 00:04:34,670 +بسميه المتجه المميز يبقى السؤال هو هل ممكن لل + +47 +00:04:34,670 --> 00:04:37,890 +characteristic vector في يوم من الأيام يكون ال + +48 +00:04:37,890 --> 00:04:43,870 +zero vectorفي الشمكانية قال non-zero vector يبقى + +49 +00:04:43,870 --> 00:04:49,430 +لا يمكن المتجه الصفري أن يكون eigenvector يبقى ال + +50 +00:04:49,430 --> 00:04:53,870 +eigenvalue يا بنات هو عدد حقيقي أو عدد تخيلي لكن + +51 +00:04:53,870 --> 00:04:58,750 +ال eigenvector هو مصفوفة مكونة من N من الصفوف مثلا + +52 +00:04:58,750 --> 00:05:04,720 +او M من الصفوف وعمود واحدهو اللى بيحقق مين بيحقق + +53 +00:05:04,720 --> 00:05:07,940 +المعادلة اللى عندنا هذه يبقى المعادلة هذه يابا + +54 +00:05:07,940 --> 00:05:12,520 +اكتبها بالشكل هذا او الشكل هذا او الشكل هذا الشكل + +55 +00:05:12,520 --> 00:05:16,140 +هذا من وين اجا هذه البنات لو جيبتها على الشجرة + +56 +00:05:16,140 --> 00:05:23,120 +تنقش بالصغيرلاندا اكس ناقص ax يساوي زيرو يعني في + +57 +00:05:23,120 --> 00:05:29,060 +الها مش هيك لو جيت قولت لاندا اكس ناقص ax بدي ساوي + +58 +00:05:29,060 --> 00:05:33,460 +مين بدي ساوي زيرو في عامل مشترك ممكن ناخده منهم + +59 +00:05:33,460 --> 00:05:38,780 +اللي هو من اللي هو ال X طب أخده برا ولا أخده يعني + +60 +00:05:38,780 --> 00:05:44,420 +أخده على اليمين ولا أخده على الإشمال أشمال + +61 +00:05:44,420 --> 00:05:49,210 +يعني أخده هنا براتاخدوا على اليمين ليش؟ ان عرمالية + +62 +00:05:49,210 --> 00:05:55,550 +ضرب المصوفات ليست إبدالية، دي مش بمزاج يمين وشمال، + +63 +00:05:55,550 --> 00:05:59,770 +إجباري هو على اليمين، جاي بيبقى بتخليه على اليمين، + +64 +00:05:59,770 --> 00:06:03,430 +إذا لو أخدتوا عامل مشترك، بيظل يمين هنا عندنا + +65 +00:06:03,430 --> 00:06:06,790 +لندا، لندا بس ولا لندا .. + +66 +00:06:13,110 --> 00:06:19,530 +هل يمكن الرقم أني أطرحه من المصوفة في الشمكانية + +67 +00:06:19,530 --> 00:06:24,610 +يبقى بطرح مصوفة من المصوفة يبقى lambda I ناقص ال A + +68 +00:06:24,610 --> 00:06:29,190 +كله في X بده يساوي Zero يبقى هاي المعادلة اللي فوق + +69 +00:06:29,190 --> 00:06:35,070 +اللي احنا جايلين عليهاطبعا ياما هنكتبها خلال شغلنا + +70 +00:06:35,070 --> 00:06:39,210 +في هذا ال chapter بالطريقة اللي عندنا هذه تمام + +71 +00:06:39,210 --> 00:06:43,470 +يبقى هي عرفنا ال eigen value وال eigen vectors + +72 +00:06:43,470 --> 00:06:48,910 +بدنا نبدأ ناخد أمثلة على ذلك نبدأ بأول مثال أول + +73 +00:06:48,910 --> 00:06:56,290 +مثال مثال بسيط يبقى example one example one بيقول + +74 +00:06:56,290 --> 00:07:05,110 +ما ياتي Fالمصوفة ايه؟ هي ال identity matrix اللي + +75 +00:07:05,110 --> 00:07:13,950 +هي the identity matrix لو كانت هذه مصوفة الوحدة + +76 +00:07:13,950 --> 00:07:26,170 +then the only the only eigen value eigen + +77 +00:07:26,170 --> 00:07:36,000 +valueis one and + +78 +00:07:36,000 --> 00:07:42,320 +hence every + +79 +00:07:42,320 --> 00:07:54,700 +non zero vector every non zero vector X اللي موجود + +80 +00:07:54,700 --> 00:08:04,500 +في RN isand eigen vector + +81 +00:08:04,500 --> 00:08:12,820 +السبب because ان + +82 +00:08:12,820 --> 00:08:19,020 +ال I في ال X يسوى + +83 +00:08:21,030 --> 00:08:26,090 +أحنا قلنا ال X هدى وين موجودة ال R N يبقى X هدى + +84 +00:08:26,090 --> 00:08:30,550 +vector X واحد X اتنى لغاية X N مضروب في مصفوفة + +85 +00:08:30,550 --> 00:08:35,090 +الواحدهاش بيعطينى المصفوفة X بالشكل اللى عندنا هدى + +86 +00:08:35,090 --> 00:08:41,290 +اللى بقدر اكتبها على الشكل واحد مضروب في مين في X + +87 +00:08:41,290 --> 00:08:45,810 +ومن هنا ال Eigen value اللى عندنا مين اللى هى + +88 +00:08:45,810 --> 00:08:52,200 +الواحد يبقى هدى أتفة أنواع مين الأمثلةيبقى لو كانت + +89 +00:08:52,200 --> 00:08:58,140 +ال a هي مصفوفة الوحدة عندنا هنا يبقى بناء عليه ال + +90 +00:08:58,140 --> 00:09:03,610 +eigen value هيالواحد الصحي مفيش غيره لكن ال + +91 +00:09:03,610 --> 00:09:08,690 +eigenvectors أكتر كلهم eigenvectors مع عدمين ال + +92 +00:09:08,690 --> 00:09:12,890 +zero vector روح نقول أهنس every non zero vector + +93 +00:09:12,890 --> 00:09:17,490 +موجود في ال RN عبارة عن eigenvector هذا الشغل + +94 +00:09:17,490 --> 00:09:24,250 +البسيط طيب نشتغل شغل أحسن من هنا يبقى example two + +95 +00:09:31,250 --> 00:09:37,990 +LED المصوفة ايه اللي هي عبارة عن واحد ستة خمس + +96 +00:09:37,990 --> 00:09:40,910 +اتنين بالشكل اللي عندنا هنا + +97 +00:09:43,790 --> 00:09:50,570 +ال X بده يساوي ال vector اللي هو مين؟ ستة وناقص + +98 +00:09:50,570 --> 00:09:57,690 +خمسة و ال Y هو ال vector اللي هو مين؟ ثلاثة وسلب + +99 +00:09:57,690 --> 00:10:04,110 +اتنين كل هذا اللي موجود وين؟ في R2 المطلوب الأول + +100 +00:10:04,110 --> 00:10:12,990 +بيقولي find the eigen value + +101 +00:10:37,730 --> 00:10:42,430 +هل هدول بيكونوا eigenvectors of a ولا لأ + +102 +00:10:53,800 --> 00:10:59,920 +سؤال مرة ثانية سؤال بيقول مياتي عندي مصفوفة نظامها + +103 +00:10:59,920 --> 00:11:05,320 +اتنين في اتنين سميتها ايه؟ اخدت vector ماقلتش عنه + +104 +00:11:05,320 --> 00:11:09,760 +لا إيه كان و لا غيره vector موجود في اعراء اتنين + +105 +00:11:09,760 --> 00:11:14,920 +اللي بقدر اقول ستة و سالب خمسة او مصفوفة عمودية + +106 +00:11:14,920 --> 00:11:19,100 +اللي هي ستة و سالب خمسة و vector تاني موجود في + +107 +00:11:19,100 --> 00:11:23,050 +اعراء اتنين اللي هو تلاتة و سالب اتنينمطلبين + +108 +00:11:23,050 --> 00:11:28,030 +جاليهات لل eigenvalue للمصوفة من a مطلب الأول مطلب + +109 +00:11:28,030 --> 00:11:32,070 +التاني بيقول هل ال X و Y هدول بيكونوا eigenvectors + +110 +00:11:32,070 --> 00:11:36,710 +ام لا طبعا يمكن يطلعوا eigenvectors و يمكن ما + +111 +00:11:36,710 --> 00:11:41,010 +يطلعوش لما نشوف هل بنقدر نكتب على الصيغة اللي + +112 +00:11:41,010 --> 00:11:45,610 +عندنا هذه ولا لأ و بعد هيك يمكن يجي في بالنا تساؤل + +113 +00:11:45,610 --> 00:11:50,160 +خليه لما نوصله بصير خيريبقى النقطة الأولى قاللي + +114 +00:11:50,160 --> 00:11:54,000 +هاتلي ال eigen value لمين للمصمم باجي بقوله أنا + +115 +00:11:54,000 --> 00:11:59,660 +بدي أخد ال a في ال x هشوف إيش بتعطينا يبقى بداجي + +116 +00:11:59,660 --> 00:12:05,640 +أقوله ال a في ال x يساوي ال a موجودة اللي هي واحد + +117 +00:12:05,640 --> 00:12:12,720 +ستة خمس اتنين ال x عندنا قداشر ستة ناقص خمسة + +118 +00:12:12,720 --> 00:12:13,740 +بالشكل اللي عندنا + +119 +00:12:19,890 --> 00:12:25,610 +هل بقدر اكتب الرقم في ال vector اللي عندنا هذا و + +120 +00:12:25,610 --> 00:12:31,490 +لا لأ حسب ال definition هل + +121 +00:12:31,490 --> 00:12:34,950 +بقدر اكتب الرقم في ال vector اللي عندنا هذا و لا + +122 +00:12:34,950 --> 00:12:39,150 +لأ حسب ال definitionتعالوا نضرب المصفتين هدول + +123 +00:12:39,150 --> 00:12:43,710 +ونشوف إيه الشناتين يبقى الصف الأول في العمود الأول + +124 +00:12:43,710 --> 00:12:50,550 +واحد في ستة بستة وهنا ناقص تلاتين بيظل جداش ناقص + +125 +00:12:50,550 --> 00:12:54,960 +أربعة وعشرينيبقى هذا الصف الأول في العمون الصف + +126 +00:12:54,960 --> 00:12:59,900 +الثاني في العمون خمسة في ستة بتلاتين ناقص عشرة + +127 +00:12:59,900 --> 00:13:05,620 +بيظل قداشر عشرين بالشكل اللي عندنا هذا بنقدر ناخد + +128 +00:13:05,620 --> 00:13:09,760 +عامل مشترك، إيش العامل المشترك اللي مابيل يتنام؟ + +129 +00:13:11,370 --> 00:13:14,350 +أربعة لو أخدت أربعة بيصير هنا سالب بس أنا عندي + +130 +00:13:14,350 --> 00:13:20,090 +سالب وين؟ تحت يبقى خد سالب أربعة من الكل يبقى سالب + +131 +00:13:20,090 --> 00:13:26,850 +أربعة بيظل عندنا قداش ستة و هنا قداش ناقص خمسة + +132 +00:13:26,850 --> 00:13:31,660 +بالشكل اللي عندنا هنا يبقى هذا X ولا لا؟مش هو X + +133 +00:13:31,660 --> 00:13:37,440 +اللي عندنا؟ إذا حصل ضرب لإتنين كتبته على صيغة رقم + +134 +00:13:37,440 --> 00:13:43,460 +مضروب في الـ X يبقى Lambda بكم؟ سالب أربعة يبقى + +135 +00:13:43,460 --> 00:13:52,640 +هنا Lambda تساوي السالب أربعة اللي هي is the eigen + +136 +00:13:52,640 --> 00:14:04,450 +value ofthe matrix المُعطَر طب لو غيرنا المصفوف + +137 +00:14:04,450 --> 00:14:08,630 +هذه بمصفوفها تانية بضل ال land هذه ولا بتتغير؟ + +138 +00:14:10,080 --> 00:14:15,780 +بتتغير لأن هذه كل واحدة خاصة بمصفوفتها إذا لو غيرت + +139 +00:14:15,780 --> 00:14:19,940 +المصفوفة بتتغير قيمة land يعني بتبقى اشتاب ده ليش + +140 +00:14:19,940 --> 00:14:23,400 +انا اقول the eigen value of the matrix ايه؟ غيرت + +141 +00:14:23,400 --> 00:14:28,660 +ال matrix اتغير مين؟ بتتغير قيمة ال land يبقى هذا + +142 +00:14:28,660 --> 00:14:34,780 +المطلوب الأول اللي هو نمرة a نمرة bنمرى بيقول هل + +143 +00:14:34,780 --> 00:14:39,120 +ال X و ال Y Eigen Vectors ولا لا؟ بدأ أسألكوا + +144 +00:14:39,120 --> 00:14:43,800 +السؤال التالي هل ال X Eigen Vector ولا لا؟ ليش له + +145 +00:14:43,800 --> 00:14:49,320 +non-zero اتنين حقق المعادلة اللي عندنا هذه صحيح + +146 +00:14:49,320 --> 00:14:54,960 +ولا لا؟ يبقى باجي يقول is the Eigen Value and ال X + +147 +00:14:54,960 --> 00:15:02,980 +بده يساوي ستة ناقص خمسة is an Eigen Vector + +148 +00:15:05,910 --> 00:15:10,650 +المصوفة ايه؟ طب بدي اجي لنمر بيه؟ بدي اشتغل نفسي + +149 +00:15:10,650 --> 00:15:18,120 +الشغل فايش بدي اجي اقوله؟ بدي اخد ال a في ال yطبعا + +150 +00:15:18,120 --> 00:15:23,540 +إذا لما أخد ال A في ال Y بده ساوي المصوفة واحد ستة + +151 +00:15:23,540 --> 00:15:29,620 +خمسة اتنين فمين في ال Y عنده تلاتة و سالبي اتنين + +152 +00:15:29,620 --> 00:15:34,260 +بالشكل اللي عندنا هذا يبقى تاع لنضرب الصف الأول في + +153 +00:15:34,260 --> 00:15:39,820 +العمود يبقى تلاتة وعندي ناقص اتناش في ضلج الدرجة + +154 +00:15:49,280 --> 00:15:55,740 +السؤال هو هل تستطيع ان تأخذ عامل مشترك يطلع عندنا + +155 +00:15:55,740 --> 00:15:57,100 +هذا ال vector؟ + +156 +00:15:59,630 --> 00:16:07,630 +يبقى هذا لا يساوي لاندا في من؟ في تلاتة سالي + +157 +00:16:07,630 --> 00:16:15,770 +باتنين for any number لاندا + +158 +00:16:15,770 --> 00:16:21,210 +لأي number لاندا هذا الكلام مش موجود عندي معناته + +159 +00:16:21,210 --> 00:16:26,650 +هذا ال vector Eigen vectorيبقى هذا لا يمكن أن يكون + +160 +00:16:26,650 --> 00:16:34,390 +eigenvector في يوم من الأيام يبقى هنا ال y تساوي + +161 +00:16:34,390 --> 00:16:45,170 +تلاتة وسلب اتنين is not an eigenvector + +162 +00:16:46,610 --> 00:16:50,330 +يبقى معناته هذا الكلام الـEigenvector يعتمد على + +163 +00:16:50,330 --> 00:16:53,970 +مين الـEigenvalue إذا عندي إيش فيه Eigenvalue + +164 +00:16:53,970 --> 00:16:57,010 +معناته فيه Eigenvector مافيش Eigenvalue يبقى مافيش + +165 +00:16:57,010 --> 00:17:04,490 +Eigenvector تمام؟ يبقى هذا مثال بسيط واضح إنه معنى + +166 +00:17:04,490 --> 00:17:07,930 +الـEigenvalue والـEigenvector اللي أعطينا + +167 +00:17:07,930 --> 00:17:12,830 +تعريفاتهم أو تعريفاتهما قبل قليل + +168 +00:17:15,770 --> 00:17:21,710 +نجي للنقطة الثانية كيف بدنا نوجد ال eigenvalues + +169 +00:17:21,710 --> 00:17:29,170 +هطرح حد على صيغة السؤال التالي يبقى how to find + +170 +00:17:29,170 --> 00:17:38,970 +كيف بدك توجد the eigen أو ال characteristic values + +171 +00:17:38,970 --> 00:17:40,990 +of + +172 +00:17:44,020 --> 00:17:49,800 +ن بي ن ماتريكس + +173 +00:17:49,800 --> 00:17:55,820 +ماتريكس + +174 +00:17:55,820 --> 00:18:06,520 +A هذا هو السؤال الإجابة كالتالي answer خطوة + +175 +00:18:06,520 --> 00:18:09,200 +الأولى rewrite + +176 +00:18:12,220 --> 00:18:22,260 +عاد كتابة المعادلة equation ax يساوي lambda x in + +177 +00:18:22,260 --> 00:18:26,500 +the form في + +178 +00:18:26,500 --> 00:18:34,900 +الشكل التالي اللي هو lambda I ناقص ال A في ال X + +179 +00:18:34,900 --> 00:18:42,620 +بده يساوي Zero وسميلي هذه المعادلة رقم 6خطوة + +180 +00:18:42,620 --> 00:18:49,740 +التانية since ال X does not equal to zero يبقى ال + +181 +00:18:49,740 --> 00:18:54,340 +system يبقى + +182 +00:18:54,340 --> 00:19:00,720 +ال system star has + +183 +00:19:00,720 --> 00:19:07,380 +a non zero solution + +184 +00:19:10,280 --> 00:19:19,940 +if and only if if and only if determinant ل lambda + +185 +00:19:19,940 --> 00:19:28,580 +I ناقص ال A بده يساوي zero و هذه المعادلة رقم واحد + +186 +00:19:28,580 --> 00:19:31,620 +the + +187 +00:19:31,620 --> 00:19:46,390 +solution the solution of thatEquation one بيعطينا + +188 +00:19:46,390 --> 00:19:56,530 +الـ Eigen values اللي + +189 +00:19:56,530 --> 00:20:04,230 +هي اللي عندها command definition equation + +190 +00:20:07,100 --> 00:20:15,120 +المعادلة determined ل lambda I ناقص ال A بده يساوي + +191 +00:20:15,120 --> 00:20:20,600 +Zero is called the + +192 +00:20:20,600 --> 00:20:31,560 +characteristic equation المعادلة + +193 +00:20:31,560 --> 00:20:35,540 +المميزة أو ال polynomial + +194 +00:20:40,780 --> 00:20:53,460 +pronomial equation of a matrix a مصفوفة a that is + +195 +00:20:53,460 --> 00:21:05,410 +in ال P of لاندا بدي اساوي determinantللاندا اي + +196 +00:21:05,410 --> 00:21:15,210 +ناقص ال a اللي هي بدأ تساوي لاندا زيرو زيرو زيرو + +197 +00:21:15,210 --> 00:21:23,870 +لاندا زيرو زيرو زيرو زيرو لاندا بالشكل اللي عندنا + +198 +00:21:23,870 --> 00:21:32,470 +هنا ناقص a11 a12 a1n a21 + +199 +00:21:44,090 --> 00:21:49,930 +بالشكل اللي عندنا هذا و اللي بقدر اقول وتساوي + +200 +00:21:49,930 --> 00:22:04,840 +مصفوفة واحدة يبقى لاندا ناقص a11نقص a12 ناقص a1n + +201 +00:22:09,510 --> 00:22:22,010 +A21 ناقص A21 و بعدين لاندا ناقص A22 و ناقص A2N و + +202 +00:22:22,010 --> 00:22:31,530 +نظل ماشيين لغاية ناقص AN1 ناقص AN2 و نظل ماشيين + +203 +00:22:31,530 --> 00:22:35,750 +لغاية لاندا ناقص ANN + +204 +00:23:08,940 --> 00:23:10,340 +اممم + +205 +00:23:17,590 --> 00:23:22,050 +الان بنطرح السؤال اللى بين ادينا هذا ونحاول نجاوب + +206 +00:23:22,050 --> 00:23:29,070 +على هذا السؤال بخطوتين لا ثالثة لهما السؤال هو how + +207 +00:23:29,070 --> 00:23:33,690 +to find the eigenvalues of an n by n matrix ايه + +208 +00:23:33,690 --> 00:23:38,110 +ماهي الوسيلة العملية مشان جيب ال eigenvalues + +209 +00:23:38,110 --> 00:23:44,140 +لمصوفة مع نظامها n في nاللي جابها في نقطتنا النقطة + +210 +00:23:44,140 --> 00:23:49,020 +الأولى بيقول يا ليها write the equation AX بيستوي + +211 +00:23:49,020 --> 00:23:53,180 +Lambda X in the form قعدت كتابة المعادلة اللي + +212 +00:23:53,180 --> 00:23:57,080 +عندنا تبع تعريف ال Eigen value على الشكل اللي + +213 +00:23:57,080 --> 00:24:01,240 +عندنا هذا و هذا شفناها كيف قبل قليل كتبناها سمنها + +214 +00:24:01,240 --> 00:24:05,280 +المعادلة Star الآن المعادلة Star هدى homogeneous + +215 +00:24:05,280 --> 00:24:10,360 +system ولا non homogeneous system؟هوموجينيا ال + +216 +00:24:10,360 --> 00:24:13,880 +system مدام هوموجينيا ال system يا عندى ال trivial + +217 +00:24:13,880 --> 00:24:18,740 +solution يا اما عندى عدد لنهائى من الحلول انا بدى + +218 +00:24:18,740 --> 00:24:22,540 +استبعد ل trivial solution لان قلت الفكتور هذا non + +219 +00:24:22,540 --> 00:24:28,420 +zero فكتور معناته الحل الصفري مستبعد فايش قال ليه؟ + +220 +00:24:28,800 --> 00:24:32,860 +بما أن الـ X لا يمكن أن تساوي 0 يعني الحل الصفري + +221 +00:24:32,860 --> 00:24:39,580 +مستبعد يبقى ال system has a non-zero solution إذا + +222 +00:24:39,580 --> 00:24:43,540 +كان ال determinant هذا بيساوي قداش؟ Zero إذا + +223 +00:24:43,540 --> 00:24:48,080 +المحدد تبع المصوف هذا بيساوي Zero بيكون عندى اللي + +224 +00:24:48,080 --> 00:24:54,040 +هو حل غير صفري لمين؟ لسystem اللي عندنا هذا + +225 +00:24:57,620 --> 00:25:05,030 +الحل تبع المحدد هذابيعطيني قيم ال eigenvalues ليش؟ + +226 +00:25:05,030 --> 00:25:10,350 +لأن هذه معادلة هذه أعداد هذه مصفوفة الوحدة المجهول + +227 +00:25:10,350 --> 00:25:14,710 +من عندى lambda إذا بفكها دى و بجيبله قيم lambda + +228 +00:25:14,710 --> 00:25:17,870 +يمكن تطلع معادلة من الدرجة التانية يمكن من الدرجة + +229 +00:25:17,870 --> 00:25:21,350 +التالتية يمكن من الدرجة الرابعة حسب نوع المصفوفة + +230 +00:25:21,350 --> 00:25:26,120 +اللى عندى فلو كانت المصفوفة من الدرجة الثانيةيبقى + +231 +00:25:26,120 --> 00:25:29,840 +automatic لازم تطلع المعادلة من الدرجة الثانية إذا + +232 +00:25:29,840 --> 00:25:33,300 +المصوفة نظامها تلاتة في تلاتة بتطلع من الدرجة + +233 +00:25:33,300 --> 00:25:38,960 +التالتة و هكذا تمام إلى آخرى طيب ما علينانجي + +234 +00:25:38,960 --> 00:25:42,940 +التعريف التاني بقول المعادلة اللي عندنا هذه اللي + +235 +00:25:42,940 --> 00:25:46,860 +هو determinant لهذه بيسوي zero بسميها ال + +236 +00:25:46,860 --> 00:25:50,460 +characteristic equation او ال polynomial equation + +237 +00:25:50,460 --> 00:25:56,020 +يبقى كثيرة الحدود او معادلة كثيرة الحدود او + +238 +00:25:56,020 --> 00:26:02,120 +المعادلة المميزة لمين للمصوفة ايه that is مين هي + +239 +00:26:02,120 --> 00:26:09,120 +لما اقولP of لندا يعني دالة في لندا بتطلع بدلالة + +240 +00:26:09,120 --> 00:26:13,100 +لندا من هى هى ال determinant للندا ايه النقص ايه + +241 +00:26:13,100 --> 00:26:17,480 +النقص ايه وان اللندا ايه يبقى اللندا مضروبة في مين + +242 +00:26:17,480 --> 00:26:24,610 +في مصوفة الوحدةناقص الـA كتبتها بعناصرها يبقى بدي + +243 +00:26:24,610 --> 00:26:29,370 +أطرح المصفتين من بعض بيصير كل عنصر باطرحهم من + +244 +00:26:29,370 --> 00:26:34,590 +نظيره Zero ناقص يبقى البجر بيصير ناقص ما عدا عناصر + +245 +00:26:34,590 --> 00:26:37,270 +القطة الرئيسية القطة الرئيسية بيصير لاندا ناقص ايه + +246 +00:26:37,270 --> 00:26:42,380 +one oneلاندا ناقص a22 ناقص لاندا a33 الاخر حاجة + +247 +00:26:42,380 --> 00:26:47,440 +لاندا ناقص a ان ان والباقي عناصر المصفوفة هم هم بس + +248 +00:26:47,440 --> 00:26:53,380 +بغير مين إشارتهم السبب بسبب سبق المصفوفة بمين + +249 +00:26:53,380 --> 00:26:58,500 +بإشارة سالب يبقى الصورة العامة لهذه المصفوفة تصبح + +250 +00:26:58,500 --> 00:27:03,280 +على الصورة اللي عندها هي القطرة الرئيسي كله لاندا + +251 +00:27:03,280 --> 00:27:07,690 +ناقص عناصر القطرة الرئيسيوالباقي هي المصوفة A بس + +252 +00:27:07,690 --> 00:27:12,090 +بإشارة من؟ بإشارة set الآن الكلام اللي بقوله هذا + +253 +00:27:12,090 --> 00:27:16,970 +بدنا نروح نطبقه على أرض الواقع يبقى لما نيجي نحسب + +254 +00:27:16,970 --> 00:27:22,010 +قيمة lambda هنا يا بنات يمكن تطلع عدد حقيقي ويمكن + +255 +00:27:22,010 --> 00:27:27,990 +تطلع عددتخيلي كما ذكرنا في التعريف قبل قليل تمام + +256 +00:27:27,990 --> 00:27:32,250 +إذا بدنا نروح نجرب نخلي مرة يطلع عدد حقيقي و مرة + +257 +00:27:32,250 --> 00:27:36,390 +يطلع تخيلي و نشوف كيف بدنا نجيب ال eigenvalues و + +258 +00:27:36,390 --> 00:27:40,690 +ال eigenvectors في هذه الحلقة هنبدأ بعدد حقيقي + +259 +00:27:40,690 --> 00:27:44,070 +لإنه أسلف شوية و المرة الجاية ان شاء الله بنجيب + +260 +00:27:44,070 --> 00:27:52,110 +اللعنة ده بعدد تخيلي يبقى example oneexample one + +261 +00:27:52,110 --> 00:27:59,610 +هذا سؤال واحد من الكتاب بقول find the eigenvalues + +262 +00:27:59,610 --> 00:28:05,450 +find the eigenvalues + +263 +00:28:05,450 --> 00:28:08,730 +and eigenvectors + +264 +00:28:16,270 --> 00:28:21,330 +والـ Eigenvectors of the + +265 +00:28:21,330 --> 00:28:26,730 +matrix للمصفوفة + +266 +00:28:26,730 --> 00:28:29,930 +التي تساوى + +267 +00:28:41,860 --> 00:28:45,840 +يبقى بدل الـ Eigenvalues والـ Eigenvectors لمين؟ + +268 +00:28:45,840 --> 00:28:47,740 +للمصوفة اللي عندنا هذه + +269 +00:28:53,790 --> 00:28:57,090 +كيف بدي أجيب الـ Eigenvalues؟ هذه المعادلة اللي + +270 +00:28:57,090 --> 00:29:02,510 +عندنا يبقى أنا بدي أذهب لمين لـ lambda I ناقص A X + +271 +00:29:02,510 --> 00:29:07,210 +بده يساوي Zero و بعد هيك إذا قلت X non-zero يبقى + +272 +00:29:07,210 --> 00:29:10,890 +بدي ال determinant لهذه و أخليه يساوي مين؟ ال Zero + +273 +00:29:10,890 --> 00:29:17,690 +إذا أنا بدي أبدأ بال determinantلمين؟ لان ده I + +274 +00:29:17,690 --> 00:29:23,070 +ناقص ال A كله و اقول هذا الكلام بده يساوي قداش؟ + +275 +00:29:23,070 --> 00:29:28,770 +بده يساوي Zero طيب مشان هيك تعالى نشوف لان ده في I + +276 +00:29:28,770 --> 00:29:33,550 +و نشوف ال A، اه ال A موجود عندىإذا بقدر أعوض تعويض + +277 +00:29:33,550 --> 00:29:37,470 +مباشر في الأخيرة اللي تحت هذه مانديش أقعد أكل + +278 +00:29:37,470 --> 00:29:42,270 +كأكتير يبقى بقدر أكتب على طول الخط يبقى هاي + +279 +00:29:42,270 --> 00:29:47,910 +المصوفة اللي عندنا هاي اللي عندنا ناقص a11 a11 + +280 +00:29:47,910 --> 00:29:54,750 +بقداشسالف واحد يبقى بصير زائد واحد هذا ناقص واحد + +281 +00:29:54,750 --> 00:30:00,450 +زي ما هو هذا ناقص اربعة زي ما هو هذه لندن ناقص + +282 +00:30:00,450 --> 00:30:03,990 +اتنين هيجفلنا الجوز تمام؟ + +283 +00:30:07,360 --> 00:30:13,640 +للاندا اي ناقص الاي له بده ساوي زيرو يعني معناه + +284 +00:30:13,640 --> 00:30:19,840 +هذا الكلام انه عندي المحدد لاندا زائد واحد ناقص + +285 +00:30:19,840 --> 00:30:26,500 +واحد ناقص اربعة لاندا ناقص اتنين كل هذا الكلام بده + +286 +00:30:26,500 --> 00:30:32,060 +ساوي مين؟ بده ساوي زيروإذا لو فكّت المحدد هذا حاصل + +287 +00:30:32,060 --> 00:30:36,860 +ضرب عناصر القطر الرئيسي ناقص حاصل ضرب عناصر القطر + +288 +00:30:36,860 --> 00:30:43,680 +الثانوي هذا بيعطيك Lambda زائد واحد فLambda ناقص + +289 +00:30:43,680 --> 00:30:49,580 +اتنين ناقص أربعة بيساوي مين؟ بيساوي Zero طبعا ناقص + +290 +00:30:49,580 --> 00:30:53,040 +واحد فناقص أربعة بيزايد أربعة الرئيسي ناقص الثانوي + +291 +00:30:53,040 --> 00:30:56,440 +تجيني كمان إشارة ناقص فبصير الناقص بالشكل اللي + +292 +00:30:56,440 --> 00:31:01,360 +عندنا هذايبقى انا عندى معادلة من اى درجة ثانية + +293 +00:31:01,360 --> 00:31:05,400 +يبقى انا بدى احلى المعادلة هذه مشان احلى المعادلة + +294 +00:31:05,400 --> 00:31:11,300 +هذه بدى اروح افكها يبقى هذه لاندا تربية زائد لاندا + +295 +00:31:11,300 --> 00:31:17,270 +ونقص اثنين لاندا بطلع قداشنقص لاندا و عندك ناقص + +296 +00:31:17,270 --> 00:31:23,190 +اتنين ناقص اربعة بده يساوي zero او بمعنى اخر بده + +297 +00:31:23,190 --> 00:31:29,790 +يصير لاندا تربية ناقص لاندا ناقص ستة يساوي zero او + +298 +00:31:29,790 --> 00:31:36,960 +لو حللتها كحاصل ضرب قوسين يساوي zero هنا لانداوهنا + +299 +00:31:36,960 --> 00:31:43,380 +لاندا وهنا اتنين في تلاتة بستة وواحدة ناقص وواحدة + +300 +00:31:43,380 --> 00:31:48,200 +زايد اتنين لاندا وناقص تلاتة تحليل مية المية يبقى + +301 +00:31:48,200 --> 00:31:54,560 +بناء عليه بقوله the eigen values + +302 +00:31:54,560 --> 00:31:58,320 +are + +303 +00:32:00,560 --> 00:32:06,900 +اللي هم مين لاندا تساوي ناقص اتنين and لاندا تساوي + +304 +00:32:06,900 --> 00:32:13,600 +كدهش تلاتة يبقى جيبت ال eigen vectors اللي عندنا + +305 +00:32:14,480 --> 00:32:19,200 +جبت ال eigenvectors اللي عندنا تمام يبقى جبت ال + +306 +00:32:19,200 --> 00:32:23,840 +eigenvalues لسه ال eigenvectors ما جبتهمش اه تمام + +307 +00:32:23,840 --> 00:32:29,120 +بدنا نروح ندور على مين على ال eigenvectors لكل + +308 +00:32:29,120 --> 00:32:33,280 +لنضة من اللنضات الأتنين هدونأه يعني كانوا ضايل + +309 +00:32:33,280 --> 00:32:38,040 +عليه لسه مسألتين مش مسألة واحدة كل landa لها + +310 +00:32:38,040 --> 00:32:43,040 +eigenvectors خاصة بها تمام يبقى أنا بدي أمسك أول + +311 +00:32:43,040 --> 00:32:48,300 +واحدة فيهم يبقى باجي بقول هنا إذا كانت ال landa + +312 +00:32:48,300 --> 00:32:51,480 +تساوي الناقص اتنين then + +313 +00:32:54,310 --> 00:33:01,150 +أخذ الـ land في هذا كله من المصوفة اللي عندنا هذه + +314 +00:33:01,150 --> 00:33:07,710 +صحيح ولا لأ؟ و ال X موجود وين؟ موجود في R2 يبقى X1 + +315 +00:33:07,710 --> 00:33:14,410 +و X2 اشعرفك R2 لأن المصوفة نظامها 2 في 2 يبقى باجي + +316 +00:33:14,410 --> 00:33:18,670 +بقول بداجي على المصوفة هذه هي يا بنات بالتفصيل + +317 +00:33:18,670 --> 00:33:26,000 +المرة هذه يبقى هي ناقص 2 زائد 1وهي ناقص واحد وهي + +318 +00:33:26,000 --> 00:33:34,660 +ناقص اربعة وهي ناقص اتنين ناقص اتنين في X واحد X + +319 +00:33:34,660 --> 00:33:41,340 +اتنين بده ساوي Zero و Zeroيبقى انا راجع اتعوض في + +320 +00:33:41,340 --> 00:33:47,560 +مين؟ في المعادلة star عن مين؟ عن قيم lambda واخد + +321 +00:33:47,560 --> 00:33:52,360 +lambda الأولى اشوف هذه ايش بدها تجيبلي يبقى هذه + +322 +00:33:52,360 --> 00:33:58,900 +معناه يا بنت المصفوفة ناقص واحد ناقص واحد ناقص + +323 +00:33:58,900 --> 00:34:07,180 +اربعة ناقص اربعة X واحد X اتنين يساوي Zero و Zero + +324 +00:34:07,180 --> 00:34:11,710 +بالشكل اللي عندناهذه العمود لو جيت فكيتها يبقاش + +325 +00:34:11,710 --> 00:34:21,330 +بيصير ناقص x1 ناقص x2 و العمود التاني ناقص 4x1 + +326 +00:34:21,330 --> 00:34:29,550 +ناقص 4x2 هي هذه كلها بدها تساوي مين؟ Zero و Zero + +327 +00:34:29,550 --> 00:34:38,050 +هذا معناهانه ناقص X1 ناقص X2 بده يساوي Zero وناقص + +328 +00:34:38,050 --> 00:34:48,710 +4X1 ناقص 4X2 بده يساوي Zero هذه لو جيت ضربت الأولى + +329 +00:34:48,710 --> 00:34:56,450 +في سالب واحد ايش بيصير X1 زيد X2 يساوي Zero هذه لو + +330 +00:34:56,450 --> 00:35:03,640 +ضربتها في سالب رابعبصير نفس المعادلة هذه صح ولا لأ + +331 +00:35:03,640 --> 00:35:07,660 +يبقى التان تانة صاروا مش معادلتين هذه مين معادلة + +332 +00:35:07,660 --> 00:35:14,900 +واحدة يبقى هذا معناه انه x واحد يساوي قداش سالب x + +333 +00:35:14,900 --> 00:35:22,000 +اتنين اذا لو كانت x اتنين ب a x واحد قداش سالب a + +334 +00:35:22,000 --> 00:35:32,360 +يبقى هنا بقوله fالـ X2 تساوي A ثم X1 يساوي سالب A + +335 +00:35:32,360 --> 00:35:43,060 +يبقى باجي بقوله The Eigen vectors are in the form + +336 +00:35:43,060 --> 00:35:46,880 +يبقى + +337 +00:35:46,880 --> 00:35:56,420 +على الشكل التالي X1 بقدرش عندي سالب Aو اكس اتنين + +338 +00:35:56,420 --> 00:36:03,140 +تبقى اكس + +339 +00:36:03,140 --> 00:36:07,250 +اكس اكس اكس اكس اكس اكس اكس اكس اكسيبقى هي جيب له + +340 +00:36:07,250 --> 00:36:12,370 +ال eigenvectors كل ال vectors اللي بتبقى على الشكل + +341 +00:36:12,370 --> 00:36:16,030 +هذا يعني الرقم من ال set of real numbers اللي هو a + +342 +00:36:16,030 --> 00:36:20,610 +مضروب في سالب واحد واحد بيجيب لل eigenvectors + +343 +00:36:20,610 --> 00:36:27,170 +تبعات مين تبعات lambda تساوي سلب اتنين فقطلأنه في + +344 +00:36:27,170 --> 00:36:30,030 +السؤال قال هي اتلقى كل ال eigenvalues و ال + +345 +00:36:30,030 --> 00:36:34,370 +eigenvectors للمصوفة هذه انا جبت لسه ل lambda 2 زي + +346 +00:36:34,370 --> 00:36:39,050 +ما جبت ل lambda 2 بتروح اجيب لمام ل lambda 3 يبقى + +347 +00:36:39,050 --> 00:36:46,590 +كله بالشكل اللي هنا كم واحد هدولبس المراكبة الأولى + +348 +00:36:46,590 --> 00:36:52,390 +هي سالب المراكبة الثانية كل العناصر اللى بالشكل + +349 +00:36:52,390 --> 00:36:55,150 +هذا بيكونوا eigenvectors واحنا شفنا في السؤال اللى + +350 +00:36:55,150 --> 00:36:59,690 +جابله قبل قليل مش كل vector هو eigenvector يعني + +351 +00:36:59,690 --> 00:37:04,120 +بعضهم بنفع يكون eigenvectors وبعضهمبنفعل فى السؤال + +352 +00:37:04,120 --> 00:37:07,280 +اللى جابله ال X طلع Eigen vector لكن ال Y طلع + +353 +00:37:07,280 --> 00:37:11,980 +Eigen vector إذا يا بنات مش كل vector بنفع يكون + +354 +00:37:11,980 --> 00:37:15,760 +Eigen vector للمصحوفة اللى موجودة البعض بنفع + +355 +00:37:15,760 --> 00:37:19,980 +والبعض بنفعش مين اللى بينفعه فى السؤال هذا كل ال + +356 +00:37:19,980 --> 00:37:23,700 +vectors اللى على الشكل area number مضروب فى سالب + +357 +00:37:23,700 --> 00:37:28,320 +واحد وواحد طيب نجى للحالة الثانية + +358 +00:37:45,930 --> 00:37:51,970 +أخذنا لاندا تساوي سالب اتنين بدأت ياخد الان F + +359 +00:37:51,970 --> 00:37:57,370 +لاندا تساوي تلاتة اللي هو القيمة الثانية اللي + +360 +00:37:57,370 --> 00:38:03,110 +طلعناها then لاندا + +361 +00:38:03,110 --> 00:38:11,610 +I نقص ال A في X بدأت تساوي zero impliesبتجي لنفس + +362 +00:38:11,610 --> 00:38:14,170 +المصوفة اللي عندنا هذي بدي أشيل اللاندة و أحط + +363 +00:38:14,170 --> 00:38:21,050 +مكانها مالها تلاتة يبقى تلاتة زائد واحد و سالب + +364 +00:38:21,050 --> 00:38:29,290 +واحد و سالب أربعة و تلاتة ناقص اتنين هذه كلها في X + +365 +00:38:29,290 --> 00:38:36,650 +واحد X اتنين كله بدي يساوي مين؟ Zero و Zero تلاتة + +366 +00:38:36,650 --> 00:38:42,480 +زائد واحد كدهش؟أربعة و هنا سالب واحد و هنا سالب + +367 +00:38:42,480 --> 00:38:49,920 +أربعة و هنا واحد كله x واحد x اتنين بدي يسوى من + +368 +00:38:49,920 --> 00:38:56,670 +Zero و Zeroنضرب المصافتين هدول في بعض يبقى الصف + +369 +00:38:56,670 --> 00:39:01,990 +الأول في العمود الأول اربعة اكس واحد ناقص اكس + +370 +00:39:01,990 --> 00:39:09,430 +اتنين صف التاني ناقص اربعة اكس واحد زائد اكس اتنين + +371 +00:39:09,430 --> 00:39:15,760 +كله بده يساوي من؟ Zero و Zeroاللي هناخد مقارنة بين + +372 +00:39:15,760 --> 00:39:21,160 +الموصفين يبقى العناصر المتنظرة متساوية يبقى الاربع + +373 +00:39:21,160 --> 00:39:26,960 +X واحد ناقص X اتنين يساوي كده؟ Zero المعادلة + +374 +00:39:26,960 --> 00:39:33,340 +التانية ناقص اربع X واحد زيد X اتنين يساوي Zero + +375 +00:39:34,460 --> 00:39:37,680 +المعادلة اللي تحت لو ضربها في السلب بصير هي + +376 +00:39:37,680 --> 00:39:41,860 +المعادلة اللي فوق إذا هذول مش معادلتين وإنما في + +377 +00:39:41,860 --> 00:39:46,440 +الواقع عبارة عن معادلة واحدة يبقى هذا معناه أن + +378 +00:39:46,440 --> 00:39:52,480 +أربعة اكس واحد ناقص اكس اتنين يساوي Zero إذا اكس + +379 +00:39:52,480 --> 00:39:58,390 +اتنين يساوي مين؟ أربعة اكس واحديبقى بناء عليه لو + +380 +00:39:58,390 --> 00:40:05,350 +كانت ال X واحد بده يساوي ال A then X اتنين بده + +381 +00:40:05,350 --> 00:40:11,450 +يساوي اربعة A يبقى بقدر اجيب الشكل العام لل Eigen + +382 +00:40:11,450 --> 00:40:18,190 +vectors اذا بناء عليه بروح بقوله the Eigen vectors + +383 +00:40:18,190 --> 00:40:28,950 +are in the form في الشكل التالياللي هو مين ال X + +384 +00:40:28,950 --> 00:40:34,650 +واحد وال X اتنين اللي أنا قلت عليهم الآن A واحد او + +385 +00:40:34,650 --> 00:40:41,750 +X واحد هي A X اتنين هي اربعة A واللي هو A في واحد + +386 +00:40:41,750 --> 00:40:46,800 +ومين واربعةيبقى بالنسبة للاندة التانية اللى تساوي + +387 +00:40:46,800 --> 00:40:51,860 +التلاتة شكل ال eigenvectors أي real number بس + +388 +00:40:51,860 --> 00:40:56,940 +مايكونش صفرها اي real number غير ال zero بدي اضربه + +389 +00:40:56,940 --> 00:41:00,740 +في من في ال vector واحد واربعة بيعطيني ال + +390 +00:41:00,740 --> 00:41:06,300 +eigenvectors قداش هدول عددهم؟ما لا نهاية، إذا عندي + +391 +00:41:06,300 --> 00:41:09,420 +ما لا نهاية من الـEigenvectors، ورغم أن + +392 +00:41:09,420 --> 00:41:13,740 +الـEigenvalues تنتين، لكن الـEigenvectors التابعة + +393 +00:41:13,740 --> 00:41:17,020 +لكل واحدة فيهم، عبارة عن العدد لا نهائي من + +394 +00:41:17,020 --> 00:41:20,620 +الـEigenvectors، يبقى هكذا، جمتوا الـEigenvalues + +395 +00:41:20,620 --> 00:41:25,760 +وEigenvectors، وهذا يعتبر من الأسئلة السهلة، لأنه + +396 +00:41:25,760 --> 00:41:32,460 +ما فيهاcomplex numbers يعني هذه مالها أعداد حقيقية + +397 +00:41:32,460 --> 00:41:38,100 +real numbers أعداد حقيقية طبعا الآن بدنا نيجي على + +398 +00:41:38,100 --> 00:41:42,520 +سؤال ال complex لكن السؤال زي ما انتوا شايفين at + +399 +00:41:42,520 --> 00:41:47,040 +least بده ربع ساعة طبعا إذا مافيش إمكانية للمرة + +400 +00:41:47,040 --> 00:41:51,400 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بده أشتقها بالنسبة إلى Y و الدالة التانية بده أشتقها بالنسبة ل X", "tokens": [40228, 22653, 2423, 376, 37893, 47525, 3224, 5551, 8592, 2655, 4587, 11296, 20666, 1863, 35457, 3660, 5296, 1783, 47525, 3224, 5551, 8592, 2655, 4587, 11296, 20666, 1863, 35457, 3660, 30731, 398, 4032, 2423, 426, 47525, 3224, 5551, 8592, 2655, 4587, 11296, 9122, 33456, 10874, 46152, 2655, 2423, 2407, 11242, 3615, 12399, 23032, 3555, 3615, 995, 37495, 22653, 32748, 6027, 3660, 16247, 12610, 7578, 47525, 3224, 5551, 8592, 2655, 4587, 11296, 20666, 1863, 35457, 3660, 30731, 398, 4032, 32748, 6027, 3660, 16712, 7649, 10632, 47525, 3224, 5551, 8592, 2655, 4587, 11296, 20666, 1863, 35457, 3660, 5296, 1783], "avg_logprob": -0.16559277858930765, "compression_ratio": 2.4029850746268657, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2117.56, "end": 2118.36, "word": "يعني", "probability": 0.5706787109375}, {"start": 2118.36, "end": 2118.56, "word": " ال", "probability": 0.7158203125}, {"start": 2118.56, 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0.9482421875}, {"start": 2162.06, "end": 2162.58, "word": " بأول", "probability": 0.9781901041666666}, {"start": 2162.58, "end": 2163.08, "word": " مثال", "probability": 0.836181640625}, {"start": 2163.08, "end": 2163.32, "word": " هو", "probability": 0.1490478515625}, {"start": 2163.32, "end": 2163.9, "word": " example", "probability": 0.7548828125}, {"start": 2163.9, "end": 2164.44, "word": " one", "probability": 0.350341796875}], "temperature": 1.0}, {"id": 83, "seek": 219896, "start": 2170.26, "end": 2198.96, "text": "Example 1 بيقول سؤال الـ differential equation سؤال الـ differential equation حل المعادلة تفاضرية x في e to the power x في y في ال y prime زائد y في e to the power xy ناقص أربعة x تكييب يساوي مين؟ يساوي", "tokens": [11149, 335, 781, 502, 4724, 1829, 39648, 8608, 33604, 6027, 2423, 39184, 15756, 5367, 8608, 33604, 6027, 2423, 39184, 15756, 5367, 11331, 1211, 9673, 3615, 18513, 37977, 6055, 5172, 46958, 2288, 10632, 2031, 8978, 308, 281, 264, 1347, 2031, 8978, 288, 8978, 2423, 288, 5835, 30767, 16373, 3215, 288, 8978, 308, 281, 264, 1347, 2031, 88, 8717, 995, 4587, 9381, 5551, 25513, 27884, 2031, 6055, 4117, 1829, 1829, 3555, 7251, 3794, 995, 45865, 3714, 9957, 22807, 7251, 3794, 995, 45865], "avg_logprob": -0.30767746913580246, "compression_ratio": 1.6, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2170.26, "end": 2171.02, "word": "Example", "probability": 0.6862386067708334}, {"start": 2171.02, "end": 2171.28, "word": " 1", "probability": 0.469482421875}, {"start": 2171.28, "end": 2171.58, "word": " بيقول", "probability": 0.7606608072916666}, {"start": 2171.58, "end": 2171.96, "word": " سؤال", "probability": 0.6916097005208334}, {"start": 2171.96, "end": 2172.08, "word": " الـ", "probability": 0.525390625}, {"start": 2172.08, "end": 2172.46, "word": " differential", "probability": 0.54638671875}, {"start": 2172.46, "end": 2173.24, "word": " equation", "probability": 0.95166015625}, {"start": 2173.24, "end": 2174.42, "word": " سؤال", "probability": 0.7862141927083334}, {"start": 2174.42, "end": 2175.7, "word": " الـ", "probability": 0.562744140625}, {"start": 2175.7, "end": 2177.32, "word": " differential", "probability": 0.95849609375}, {"start": 2177.32, "end": 2179.04, "word": " equation", "probability": 0.9892578125}, {"start": 2179.04, "end": 2179.46, "word": " حل", "probability": 0.76318359375}, {"start": 2179.46, "end": 2180.12, "word": " المعادلة", "probability": 0.9599609375}, {"start": 2180.12, "end": 2181.4, "word": " تفاضرية", "probability": 0.699951171875}, {"start": 2181.4, "end": 2182.4, "word": " x", "probability": 0.43115234375}, {"start": 2182.4, "end": 2183.22, "word": " في", "probability": 0.47216796875}, {"start": 2183.22, "end": 2183.58, "word": " e", "probability": 0.8759765625}, {"start": 2183.58, "end": 2183.78, "word": " to", "probability": 0.89208984375}, {"start": 2183.78, "end": 2184.02, "word": " the", "probability": 0.9306640625}, {"start": 2184.02, "end": 2184.56, "word": " power", "probability": 0.88232421875}, {"start": 2184.56, "end": 2185.06, "word": " x", "probability": 0.712890625}, {"start": 2185.06, "end": 2185.36, "word": " في", "probability": 0.9794921875}, {"start": 2185.36, "end": 2185.9, "word": " y", "probability": 0.986328125}, {"start": 2185.9, "end": 2186.74, "word": " في", "probability": 0.859375}, {"start": 2186.74, "end": 2187.02, "word": " ال", "probability": 0.6611328125}, {"start": 2187.02, "end": 2187.4, "word": " y", "probability": 0.30224609375}, {"start": 2187.4, "end": 2188.86, "word": " prime", "probability": 0.56298828125}, {"start": 2188.86, "end": 2189.8, "word": " زائد", "probability": 0.7900390625}, {"start": 2189.8, "end": 2190.8, "word": " y", "probability": 0.96533203125}, {"start": 2190.8, "end": 2191.26, "word": " في", "probability": 0.94580078125}, {"start": 2191.26, "end": 2191.62, "word": " e", "probability": 0.986328125}, {"start": 2191.62, "end": 2191.86, "word": " to", "probability": 0.9775390625}, {"start": 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أشتغل شغل الطبيعي فبجي بقول هنا y' بدأت الأول يجب أن أدخل هذه في الأول وهذه في الآخر الجماعة لديها مشكلة إذا لو أعد ترتيبها يجب أن أقول y بيقص xy ناقص 4x تقريبا", "tokens": [10721, 12610, 16490, 9566, 2407, 3660, 35186, 6225, 11622, 1829, 11622, 1829, 39896, 1975, 43500, 3555, 47524, 19986, 1211, 31371, 5296, 2655, 30544, 8978, 25124, 28820, 2423, 39184, 3543, 13672, 1829, 6156, 30543, 11331, 49975, 5551, 44510, 10721, 5551, 8592, 2655, 17082, 1211, 13412, 17082, 1211, 41950, 21292, 3615, 1829, 6156, 3555, 7435, 1829, 4724, 39648, 34105, 288, 6, 47525, 10721, 2655, 16247, 12610, 7251, 7435, 3555, 14739, 5551, 3215, 9778, 1211, 29538, 8978, 16247, 12610, 37037, 24192, 8978, 6024, 95, 34740, 25724, 15042, 27884, 5296, 16254, 11296, 37893, 28820, 3660, 11933, 15730, 45164, 5551, 22488, 6055, 2288, 31371, 3555, 11296, 7251, 7435, 3555, 14739, 5551, 39648, 288, 4724, 1829, 4587, 9381, 2031, 88, 8717, 995, 4587, 9381, 1017, 87, 6055, 4587, 16572, 3555, 995], "avg_logprob": 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a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/nmLJemVXdy8.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/nmLJemVXdy8.srt new file mode 100644 index 0000000000000000000000000000000000000000..e590f6a1cc3921f6c6c70fd9fa65845300ddb6c8 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/nmLJemVXdy8.srt @@ -0,0 +1,1491 @@ +1 +00:00:19,250 --> 00:00:23,930 +بسم الله الرحمن الرحيم المرة الماضية بدأنا في + +2 +00:00:23,930 --> 00:00:29,500 +section الـexact equations المعادلات التامة وقلنا + +3 +00:00:29,500 --> 00:00:33,760 +إن المعادلة التفاضلية M of X و Y زائد N of X و Y + +4 +00:00:33,760 --> 00:00:38,060 +d Y على d X يساوي 0 بقول عنها exactly إذا وجدت + +5 +00:00:38,060 --> 00:00:41,280 +وجدت الـ function Phi of X و Y بحيث مشتقتها + +6 +00:00:41,280 --> 00:00:46,740 +بالنسبة لـ X يساوي M ومشتقتها بالنسبة لـ Y يساوي N + +7 +00:00:46,740 --> 00:00:51,810 +فقولنا الصعب نوجد هذه الدالة فروحنا و حطينا نظرية + +8 +00:00:51,810 --> 00:00:57,130 +ثانية نظرية من خلالها بقدر أحكم على أداء المعادلة + +9 +00:00:57,130 --> 00:01:02,010 +التفاضلية لـ exactly أم لا وهي أنه تفاضل M بالنسبة + +10 +00:01:02,010 --> 00:01:06,390 +إلى Y إذا طلع يساوي تفاضل N بالنسبة لـ X بنقول + +11 +00:01:06,390 --> 00:01:10,570 +المعادلة exact وبالتالي لازم ألاقي الـ function Phi + +12 +00:01:10,570 --> 00:01:15,970 +of X وY تساوي كونستانْت حد هذه المعادلة واخدنا على + +13 +00:01:15,970 --> 00:01:22,060 +ذلك نتائج واحدة واللي قدامنا هذا هو المثال رقم 2 + +14 +00:01:22,060 --> 00:01:25,860 +فبقول Solve the differential equation Y تكعيب + +15 +00:01:25,860 --> 00:01:31,620 +ناقص Y تربيع Sin X ناقص X زائد 3 X Y تربيع زائد + +16 +00:01:31,620 --> 00:01:36,100 +2 Y Cos X d Y على d X بيساوي؟ بيساوي + +17 +00:01:36,100 --> 00:01:40,420 +Zero بدي أحل المعادلة هذه اللي بتاعتها طول إيه + +18 +00:01:40,420 --> 00:01:47,640 +فبدي أبحث أن هي exact أم مش exact تمام؟ يبقى هذا + +19 +00:01:47,640 --> 00:01:52,420 +الجزء هو اللي أطلقنا عليه المرة اللي فاتت الاسم M و + +20 +00:01:52,420 --> 00:01:58,720 +هذا اللي هو أطلقنا عليه الاسم N طيب إذا بدي أخد + +21 +00:01:58,720 --> 00:02:03,160 +تفاضل الـ M بالنسبة لـ Y وتفاضل الـ N بالنسبة + +22 +00:02:03,160 --> 00:02:07,860 +لـ X وأشوف هل بيساووا بعض ولا بيساووش بعض فلما بدي + +23 +00:02:07,860 --> 00:02:14,440 +أخد partial M by partial Y بيساوي تفاضل Y تكعيب لـ + +24 +00:02:14,440 --> 00:02:24,600 +3Y³ Sine X بتعتبر مقدار ثابت أن تفاضل Y³ ناقص 2Y في + +25 +00:02:24,600 --> 00:02:29,640 +Sine X هذا كله بيعتبر مقدار ثابت بالنسبة إلى Y ده + +26 +00:02:29,640 --> 00:02:35,940 +مشتقته بـ 0 بالمثل بدي أروح أخد تفاضل N بالنسبة + +27 +00:02:35,940 --> 00:02:42,330 +إلى X يبقى 3 Y تربيع بتعتبر مقدر ثابتة تفاضل X + +28 +00:02:42,330 --> 00:02:49,130 +بواحد يبقى 3 Y تربيع الآن 2 Y مقدار ثابت + +29 +00:02:49,130 --> 00:02:55,810 +تفاضل Cos X وسالب Sine X يبقى سالب 2 Y في Sine + +30 +00:02:55,810 --> 00:03:01,510 +X بنلاحظ من هذا الكلام أن تفاضل M بالنسبة إلى Y + +31 +00:03:01,510 --> 00:03:09,980 +بيساوي تفاضل N بالنسبة إلى X هذا معناه أن الـ + +32 +00:03:09,980 --> 00:03:13,740 +differential equation هذه لو سميتها star يا بنات + +33 +00:03:13,740 --> 00:03:21,460 +يبقى هذا معناه أن الـ differential equation اللي هي + +34 +00:03:21,460 --> 00:03:29,460 +star is exact مدام exact هذا معناه there exists a + +35 +00:03:29,460 --> 00:03:39,730 +function Phi of x,y بيساوي constant C1 such that بحيث + +36 +00:03:39,730 --> 00:03:47,390 +أن تفاضل + +37 +00:03:47,390 --> 00:03:56,830 +الـ Phi بالنسبة إلى x بدي يساوي M اللي عندنا Y تكعيب + +38 +00:03:56,830 --> 00:04:05,130 +ناقص Y تربيع مضروبة في Sin X ناقص X وتفاضل الـ Phi + +39 +00:04:05,130 --> 00:04:11,390 +بالنسبة إلى Y بيساوي الـ N اللي هي 3 X Y تربيع + +40 +00:04:11,390 --> 00:04:15,630 +زائد 2 Y Cos X + +41 +00:04:17,780 --> 00:04:22,740 +مرة ثانية جبنا مشتقة الـ N بالنسبة لـ Y وجبنا مشتقة + +42 +00:04:22,740 --> 00:04:27,260 +الـ N بالنسبة لـ X وجدت القيمتين متساويتين معناه + +43 +00:04:27,260 --> 00:04:31,500 +تفاضل N بالنسبة لـ Y بيساوي تفاضل N بالنسبة لـ X طبق + +44 +00:04:31,500 --> 00:04:34,320 +النظرية في المرة الماضية يبقى differential + +45 +00:04:34,320 --> 00:04:39,670 +equation star is exact مدام exactly يبقى لازم ألاقي + +46 +00:04:39,670 --> 00:04:44,530 +function Phi of x y بيساوي مقدارا ثابتا بحيث أن + +47 +00:04:44,530 --> 00:04:48,930 +مشتقة الـ Phi بالنسبة لـ x بدي تساوي الـ M ومشتقة الـ + +48 +00:04:48,930 --> 00:04:54,820 +Phi بالنسبة لـ y بدي تساوي مين الـ N الآن بطلع .. بدي + +49 +00:04:54,820 --> 00:04:59,820 +أحصل على Phi of X و Y بدون مقدار ثابت فباجي بقول + +50 +00:04:59,820 --> 00:05:03,460 +.. بطلع لاتنين .. أنا عندي المشتقة بالنسبة لـ X و + +51 +00:05:03,460 --> 00:05:09,220 +المشتقة بالنسبة لـ Y بروح بكامل أسهل واحدة فيهم الآن + +52 +00:05:09,220 --> 00:05:15,190 +لو بدي أكامل هذه بالنسبة لـ Y very easy ولو بدي أكامل + +53 +00:05:15,190 --> 00:05:19,730 +هذه بالنسبة إلى X كمان very easy يبقى ما عندناش + +54 +00:05:19,730 --> 00:05:23,610 +مشكلة في هذه الحالة لكن المثال السابق كمال هذه + +55 +00:05:23,610 --> 00:05:28,790 +مظبوط خلينا المثال هذا نكامله ونشوف لكن لو كان + +56 +00:05:28,790 --> 00:05:32,390 +فيهم واحدة صعبة وواحدة سهلة بسب الصعبة وبروح + +57 +00:05:32,390 --> 00:05:37,740 +بكامل السهلة فيهم يبقى هذه لو جيت أكاملها فبحصل على + +58 +00:05:37,740 --> 00:05:43,340 +Phi of X و Y بدي أكاملها بالنسبة إلى Y يبقى 3 X و + +59 +00:05:43,340 --> 00:05:48,180 +بتعتبر مقدار ثابت و Y تكعيب على 3 3 مع + +60 +00:05:48,180 --> 00:05:54,920 +3 مع السلامة يبقى X Y تكعيب نجي الآن نكامل هذه + +61 +00:05:54,920 --> 00:05:59,160 +بالنسبة إلى Y الـ Cos مقدار ثابت و 2 ثابت + +62 +00:05:59,160 --> 00:06:04,240 +يبقى تكامل الـ Y لو Y تربيع على الـ 2 بتروح مع + +63 +00:06:04,240 --> 00:06:09,700 +2 يبقى Y تربيع في Cos X احنا كملنا + +64 +00:06:09,700 --> 00:06:14,820 +بالنسبة إلى Y يبقى بدا أقوله زائد مقدار ثابت + +65 +00:06:14,820 --> 00:06:21,920 +المقدار الثابت باعتبره function في X لأن X بيعتبر + +66 +00:06:21,920 --> 00:06:28,770 +ثابت أنا بكامل بالنسبة إلى Y زائد Function of X بعد ذلك + +67 +00:06:28,770 --> 00:06:34,710 +اشتق هذه الدالة بالنسبة إلى ماذا؟ بالنسبة إلى X و + +68 +00:06:34,710 --> 00:06:38,910 +أسويها بماذا؟ بالنسبة إلى X يبقى لو جيت اشتقت هذه + +69 +00:06:38,910 --> 00:06:43,370 +الدالة بالنسبة إلى X partial Phi على partial X + +70 +00:06:43,370 --> 00:06:50,790 +بيساوي ها Y تكعيب وتفاضل Cos بسالب Sin يبقى + +71 +00:06:50,790 --> 00:07:02,630 +سالب Y تربيع في Sin X زائد الـ F prime of X طيب + +72 +00:07:02,630 --> 00:07:08,530 +الآن يبقى هذه هي هذه إذا من الاثنين هذول مع بعض ما + +73 +00:07:08,530 --> 00:07:14,310 +بستنتج أن الاثنين هذول بيساووا بعض يعني معناه هذا + +74 +00:07:14,310 --> 00:07:21,590 +الكلام أن Y تكعيب ناقص Y تربيع في Sin X زائد + +75 +00:07:21,590 --> 00:07:29,330 +الـ F prime of X بتساوي Y تكعيب ناقص Y تربيع في Sign + +76 +00:07:29,330 --> 00:07:35,410 +X ناقص من X أظن لو جيبنا هذه عند هذه بإشارة + +77 +00:07:35,410 --> 00:07:42,410 +مخالفة بتروح وهذه بنفس الطريقة يبقى يبقى عندي أن + +78 +00:07:42,410 --> 00:07:50,490 +الـ F prime of X الـ F prime of X بدي يساوي سالب X + +79 +00:07:50,490 --> 00:07:57,990 +يبقى لو كاملتها بقول يبقى الـ F of X بيساوي ناقص X + +80 +00:07:57,990 --> 00:08:04,530 +تربيع على 2 زائد كونستانْت ثاني C2 إذا هذه الـ + +81 +00:08:04,530 --> 00:08:09,610 +Phi اللي عندنا وين راحت لما نكملها نهاية بس بدي + +82 +00:08:09,610 --> 00:08:14,850 +أشيل الـ Function of X وأضعها بتكون حصلت على مين + +83 +00:08:14,850 --> 00:08:21,510 +على الحل اللي عندنا هذا يبقى باجي بقوله Solution + +84 +00:08:21,510 --> 00:08:24,650 +of + +85 +00:08:24,650 --> 00:08:29,190 +the differential equation + +86 +00:08:31,990 --> 00:08:39,810 +Phi of X و Y بيساوي اللي طالع عندنا هنا X Y تكعيب + +87 +00:08:39,810 --> 00:08:48,130 +زائد Y تربيع في Cos X زائد F of X اللي هي ناقص X + +88 +00:08:48,130 --> 00:08:55,510 +تربيع على الـ 2 زائد C2 كله سيساوي C1 إذا لو جبت + +89 +00:08:55,510 --> 00:09:00,510 +C2 عن C1 بتصبح Phi of X و Y + +90 +00:09:21,540 --> 00:09:26,800 +طيب يا بنات ممكن ما تكونش للمثال أفضل M بالنسبة لـ Y + +91 +00:09:26,800 --> 00:09:33,520 +بتساوي تفاضل N بالنسبة لـ X يمكن ما تصبحش exact لكن + +92 +00:09:33,520 --> 00:09:39,680 +بعملية بسيطة بـ trick بسيط ممكن أحول المعادلة إلى + +93 +00:09:39,680 --> 00:09:44,360 +exact تمام وبالتالي لما أحولها exact بحلها زي ما + +94 +00:09:44,360 --> 00:09:49,900 +حدثت مثالين الاثنين هذول في عندك شغلة توضح هذا + +95 +00:09:49,900 --> 00:09:55,260 +الكلام الإجابة نعم يعني أنا لو طلع في المعادلة + +96 +00:09:55,260 --> 00:10:01,950 +ماهي exact ممكن أضرب المعادلة في دالة هذه الدالة + +97 +00:10:01,950 --> 00:10:06,810 +تحولها إلى مين؟ إلى exact هذه الدالة اللي بضرب فيها + +98 +00:10:06,810 --> 00:10:13,630 +بُسميها Integrating factor عامل التكامل إذا بدنا + +99 +00:10:13,630 --> 00:10:20,030 +نحاول نعطي Definition لعمل التكامل وبعد هيك نروح + +100 +00:10:20,030 --> 00:10:27,140 +نشوف كيف بدنا نحسب هذا العامل يبقى Integrating + +101 +00:10:27,140 --> 00:10:32,120 +Factor عامل + +102 +00:10:32,120 --> 00:10:43,440 +التكامل هأعطيله التعريف التالي يبقى Definition if + +103 +00:10:43,440 --> 00:10:50,700 +الـ M as a function of X و Y زائد الـ N as a + +104 +00:10:50,700 --> 00:10:57,420 +function of X و Y في d Y على d X بيساوي Zero وهذه + +105 +00:10:57,420 --> 00:11:05,600 +المعادلة رقم 1 هذه كانت is not exact لو هذه + +106 +00:11:05,600 --> 00:11:14,160 +ما كانتش exact But ولكن ده Differential Equation + +107 +00:11:14,160 --> 00:11:24,390 +ولكن المعادلة التفاضلية لـ Mu of X Y في M of X و Y + +108 +00:11:24,390 --> 00:11:35,870 +زائد Mu of X و Y في N of X و Y في d Y على d X + +109 +00:11:35,870 --> 00:11:43,650 +بيساوي Zero is exact لو + +110 +00:11:43,650 --> 00:11:53,070 +كانت هذه exact Then Mu of X و Y الـ Mu of X Y is + +111 +00:11:53,070 --> 00:12:03,430 +Called هنروح نسميها An Integrating Factor + +112 +00:12:03,430 --> 00:12:13,590 +بنسميها عامل تكامل For The Differential + +113 +00:12:13,590 --> 00:12:17,830 +Equation 1 + +114 +00:12:51,870 --> 00:12:57,180 +نرجع للتعريف اللي احنا كاتبينه هذا يبقى باجي بقول + +115 +00:12:57,180 --> 00:13:01,600 +لو المعادلة التفاضلية هذه اللي اتعودنا عليها في + +116 +00:13:01,600 --> 00:13:05,380 +المثال قبل قليل ومثال المرة الماضية وجزء النظري + +117 +00:13:05,380 --> 00:13:09,440 +تبعه المعادلة هذه كانت ماهياش exact ايش يعني + +118 +00:13:09,440 --> 00:13:14,420 +ماهياش exact يعني تفاضل M بالنسبة إلى Y لا يساوي + +119 +00:13:14,420 --> 00:13:20,460 +تفاضل N بالنسبة إلى X إن حدث ذلك يبقى المعادلة هذه + +120 +00:13:20,460 --> 00:13:26,230 +ليست exact طيب لو قدرت أجيب دالة ثانية دالة ثانية + +121 +00:13:26,230 --> 00:13:32,530 +بُسميها الـ Mu of X Y وأروح أضرب فيها المعادلة 1 + +122 +00:13:32,530 --> 00:13:37,990 +يبقى صار الـ Mu في الـ M زائد الـ Mu في الـ N في الـ d Y + +123 +00:13:37,990 --> 00:13:42,850 +على d X بيساوي Zero صارت المعادلة بالشكل هذا إن طلعت + +124 +00:13:42,850 --> 00:13:48,730 +هذه المعادلة exact يبقى الـ Mu of X Y بُسميه عامل + +125 +00:13:48,730 --> 00:13:53,920 +التكامل للمعادلة من الأولانية ليش سميته عامل + +126 +00:13:53,920 --> 00:13:58,700 +التكامل لأن استطعت أن أحول المعادلة هذه إلى exact + +127 +00:13:58,700 --> 00:14:03,780 +وبالتالي بكملها بعد شوية وبحصل على شكل الحل لهذه + +128 +00:14:03,780 --> 00:14:09,020 +المعادلة التفاضلية يبقى الـ Mu of X و Y ضربت + +129 +00:14:09,020 --> 00:14:15,020 +فيها هذه هي بصير هي عامل التكامل طبعا كثير منكم + +130 +00:14:15,020 --> 00:14:19,330 +هيسأل يقول طب من وين بدنا نجيب المعادلة هذه يعني + +131 +00:14:19,330 --> 00:14:26,250 +نقدر نحزر ولا نحزر ولا نفزر هنحط بعض القواعد اللي + +132 +00:14:26,250 --> 00:14:31,850 +يمكن استخدامها في كيفية إيجاد عامل التكامل عندك في + +133 +00:14:31,850 --> 00:14:36,210 +الكتاب ماتيك بعض المسائل وعامل التكامل لها وبعد + +134 +00:14:36,210 --> 00:14:41,470 +هيك تخليك أنت تحس بعوامل التكامل إذا ما أعطاني عوامل + +135 +00:14:41,470 --> 00:14:45,290 +التكامل صار شغل روتيني عادي جدا المعادلة بضربها في + +136 +00:14:45,290 --> 00:14:49,350 +عامل التكامل بتصير exact وبشتغل زي ما اشتغلت في المثالين + +137 +00:14:49,350 --> 00:14:54,090 +السابقين لكن اللي أصعب من ذلك أنه أنا أوجد عامل + +138 +00:14:54,090 --> 00:14:58,970 +التكامل أولا ثم بعد ذلك أروح أحل المعادلات + +139 +00:14:58,970 --> 00:15:06,480 +التفاضلية لذلك بدي أعطيك بعض عوامل التكامل لبعض + +140 +00:15:06,480 --> 00:15:11,580 +المعادلات التفاضلية مش كل عوامل التكامل يبقى بدأ + +141 +00:15:11,580 --> 00:15:17,060 +أكتب قانون جانبي Some Integrating Factors يبقى + +142 +00:15:17,060 --> 00:15:22,760 +بدّالي هنا Some Integrating + +143 +00:15:22,760 --> 00:15:26,440 +Factors + +144 +00:15:26,440 --> 00:15:34,580 +بعض عوامل التكامل المشهورة في كل الكتب أول واحد من + +145 +00:15:34,580 --> 00:15:44,500 +هذه العوامل بيقول If The Differential Equation 1 + +146 +00:15:44,500 --> 00:15:54,900 +is not exact ماهياش exact And + +147 +00:15:54,900 --> 00:16:05,560 +If وإذا كان تفاضل الـ M بالنسبة لـ X ناقص تفاضل الـ N + +148 +00:16:05,560 --> 00:16:15,860 +بالنسبة لـ Y بيساوي الـ F of Y Where حيث الـ F of Y + +149 +00:16:15,860 --> 00:16:28,040 +is a function of Y only Or Constant أو مقدارا + +150 +00:16:28,040 --> 00:16:39,940 +ثابتا Then The Integrating + +151 +00:16:39,940 --> 00:16:43,680 +Factor + +152 +00:16:43,680 --> 00:16:49,420 +The Integrating Factor As + +153 +00:16:49,420 --> 00:16:59,200 +The Mu of Y بدها تساوي E أس تكامل F of Y d Y + +154 +00:17:04,680 --> 00:17:16,060 +If The Differential Equation 1 + +155 +00:17:16,060 --> 00:17:23,220 +is not exact + +156 +00:17:23,220 --> 00:17:34,760 +And If وإذا كان تفاضل الـ M بالنسبة لـ Y ناقص تفاضل + +157 +00:17:34,760 --> 00:17:42,600 +الـ N بالنسبة لـ X كله يا بنات هذا نسيت هذا كله + +158 +00:17:42,600 --> 00:17:51,000 +مقسوما على M وهذا كله مقسوما على N بدّه يساوي + +159 +00:17:51,000 --> 00:18:05,110 +Function of X Where الـ F of X Is A Function of X + +160 +00:18:05,110 --> 00:18:19,030 +Only فقط Or Constant أو مقدارا ثابتا Then The + +161 +00:18:19,030 --> 00:18:22,090 +Integrating + +162 +00:18:22,090 --> 00:18:35,810 +Factor عامل التكامل Is The Mu of X بيساوي E أس + +163 +00:18:35,810 --> 00:18:46,650 +تكامل لـ F of X d X رمضان 3 قد لا يكون لا هذا + +164 +00:18:46,650 --> 00:18:57,930 +ولا ذلك F The Above Two Integrating + +165 +00:19:02,360 --> 00:19:10,420 +Factors If The Above Two Integrating Factors Does + +166 +00:19:10,420 --> 00:19:22,380 +Not Exist Does Not Exist Suppose + +167 +00:19:22,380 --> 00:19:26,600 +That The Integrating Factor Suppose That + +168 +00:19:32,370 --> 00:19:42,390 +The Integrating Factor طلع إنه عامل التكامل In The + +169 +00:19:42,390 --> 00:19:54,450 +Form In The Form على الشكل الـ Mu of X Y بيساوي X To + +170 +00:19:54,450 --> 00:20:05,220 +The Power M Y To The Power N ونوجد + +171 +00:20:05,220 --> 00:20:12,520 +ونجد القيم من + +172 +00:20:12,520 --> 00:20:26,460 +M و N هذا يجعل المقارنة + +173 +00:20:26,460 --> 00:20:29,480 +واحدة + +174 +00:20:30,520 --> 00:20:48,840 +As Exact يبقى + +175 +00:20:48,840 --> 00:20:56,460 +يا بنات في عندي ثلاثة من عوامل التكامل بنلجأ لهم + +176 +00:20:56,460 --> 00:21:00,740 +إذا + +201 +00:22:55,430 --> 00:23:01,530 +ايه و يستكمل الـ f of x dx تمام طب واحدة بيقول ليش + +202 +00:23:01,530 --> 00:23:05,110 +عرفني أن هذا و لا هذي يعني أنا كيف بدي أميز بينهم + +203 +00:23:05,590 --> 00:23:09,810 +مش هانا اميز بينهم very easy كده very easy خليه + +204 +00:23:09,810 --> 00:23:14,560 +ايه اللي هنا هذه إشارة المقدار هو النقص المقداري + +205 +00:23:14,560 --> 00:23:18,720 +الثاني مقسوم على مين؟ على أبو الإشارة السالبة + +206 +00:23:18,720 --> 00:23:23,840 +مقسوم على M و الناتج بدي يكون function في مين في Y + +207 +00:23:23,840 --> 00:23:30,360 +هنا أبو الإشارة السالبة اللي هو N يسمى على N هذا + +208 +00:23:30,360 --> 00:23:35,280 +مشتق بالنسبة لـ y تعطيني function of X من هنا بقدر + +209 +00:23:35,280 --> 00:23:40,240 +أميز ما بين الأتنين على طول الخفقة مش تروح تطلع + +210 +00:23:40,240 --> 00:23:43,060 +هدول من بعض يطلع function في X يطلع function بيه + +211 +00:23:43,060 --> 00:23:46,740 +في X؟ ما نفعش غير هذا يطلع function في X وهذا يطلع + +212 +00:23:46,740 --> 00:23:51,400 +function في مين؟ في Y يبقى بروح بكامل هذه الدالة + +213 +00:23:51,400 --> 00:23:56,440 +برفعها كأصل العدد E بكون هو عامل التكامل للمعادلة + +214 +00:23:56,440 --> 00:24:01,360 +التفاضلية اللي عندنا طيب بطلع function في X ولا + +215 +00:24:01,360 --> 00:24:06,440 +بطلع function في Y كيف بنحل هالقضية؟ بقولك بسيطة + +216 +00:24:06,440 --> 00:24:11,260 +جدابفترض أن الـ Integrating factor اللي عندي على + +217 +00:24:11,260 --> 00:24:16,540 +الشكل X to the power of M في Y to the power of N و + +218 +00:24:16,540 --> 00:24:20,840 +الـ M و الـ N أنا مش عارف جداش أرقام جداش يطلعوا + +219 +00:24:20,840 --> 00:24:26,460 +الله أعلم يبقى لو الـ two integrative factors does + +220 +00:24:26,460 --> 00:24:30,640 +not exist يعني معيش للأول والثاني بروح بفترض أن ال + +221 +00:24:30,640 --> 00:24:34,910 +integrative factor على الشكل اللي عندنا هذا و بنروح + +222 +00:24:34,910 --> 00:24:39,850 +نحاول نوجد قيم M و N اللي بيخلولي هذه المعادلة + +223 +00:24:39,850 --> 00:24:45,230 +exactly كيف بدنا نوجدهم طبعا هذا ما سنعرفه بعد + +224 +00:24:45,230 --> 00:24:50,710 +قليل تفصيليا وإذا لم نلحق في محاضرة اليوم مرحبا + +225 +00:24:50,710 --> 00:24:55,230 +بكم في محاضرة بعد الظهر بمثال توضيحي كيف بدنا نحسب + +226 +00:24:55,230 --> 00:25:00,230 +ال M و ال N وإذا حسبناهم حلت مشكلتنا خارج بصير + +227 +00:25:00,230 --> 00:25:06,000 +مسئلتنا بسيطة جداطيب إذا الأن بدأ ناخد أمثلة على + +228 +00:25:06,000 --> 00:25:14,940 +كل integrating factor من هذه ال .. من هذه ال .. من + +229 +00:25:14,940 --> 00:25:19,260 +هذه ال differential equation يبقى example one + +230 +00:25:19,260 --> 00:25:28,820 +solve the differential equation حل المعادلة + +231 +00:25:28,820 --> 00:25:37,390 +التفاضلية اللي هي على الشكل الثاني المعادلة + +232 +00:25:37,390 --> 00:25:48,270 +بتقولي واحد ناقص xy في ال y prime في ال y prime + +233 +00:25:48,270 --> 00:25:54,810 +زائد y تربيع زائد تلاتة x + +234 +00:26:03,850 --> 00:26:11,210 +يبقى باجب أقول الحل كالتالي بدي أعيد ترتيبي المثال + +235 +00:26:11,210 --> 00:26:18,010 +بهذا أخليها M زائد N في Dy بDX هذا كل ال term + +236 +00:26:18,010 --> 00:26:23,170 +يعتبر ماذا؟ يبقى لو قعدت ترتيبة بس مشان ما أغلطش و + +237 +00:26:23,170 --> 00:26:26,150 +الكلام اللي اخلتيه زميل و اشتغلتي ما عندهاش مشكلة + +238 +00:26:26,150 --> 00:26:33,030 +يبقى لو جيتك و قلت هذا y تربيع زائد تلاتة x y تكعيب + +239 +00:26:33,030 --> 00:26:38,750 +لحاله زائد واحد ناقص x y في ال y prime يساوي zero + +240 +00:26:38,750 --> 00:26:45,890 +وروحت سميت المعادلة هذه معادلة start أخدت فضل ال m + +241 +00:26:45,890 --> 00:26:54,150 +بالنسبة إلى y يساوي يبقى هذه كلها اللي تعتبر M وهذا + +242 +00:26:54,150 --> 00:27:00,410 +كلها اللي تعتبر مين؟ N بدي اشتق هذه بالنسبة الى Y + +243 +00:27:00,410 --> 00:27:11,350 +يبقى 2Y زائد 9 X Y تربيع بدي اشتق هذه بالنسبة الى + +244 +00:27:11,350 --> 00:27:12,130 +Y يبقى 2Y زائد 9 X Y تربيع بدي اشتق هذه بالنسبة + +245 +00:27:12,130 --> 00:27:13,030 +الى Y يبقى 2Y زائد 9 X Y تربيع بدي اشتق هذه + +246 +00:27:13,030 --> 00:27:13,450 +بالنسبة الى Y يبقى 2Y زائد 9 X Y تربيع بدي اشتق + +247 +00:27:13,450 --> 00:27:18,310 +هذه بالنسبة الى X تفاضل 1 ب Zero بقدرش بناقص Y + +248 +00:27:18,800 --> 00:27:23,320 +الطالعين اللي اتنين هدول هل بيساووا بعض يبقى هذا + +249 +00:27:23,320 --> 00:27:29,820 +بدي يعطيني انه تفاضل ال M بالنسبة ل Y لا يساوي + +250 +00:27:29,820 --> 00:27:35,280 +تفاضل ال N بالنسبة ل X هذا بدي يعطيني انه ال + +251 +00:27:35,280 --> 00:27:44,480 +differential equation star is not exact تمام تمام + +252 +00:27:44,870 --> 00:27:49,390 +مدى ما هيش exactly اذا بتروح ادور على مين على ال + +253 +00:27:49,390 --> 00:27:55,310 +integrating factor اذا عندك دقة نظر بتقدر تعرفي هل + +254 +00:27:55,310 --> 00:27:59,770 +بدي اخد تفاضل N بالنسبة ل Y نقص تفاضل N بالنسبة ل + +255 +00:27:59,770 --> 00:28:04,330 +X او العكس و اذا كان غالبا ما اديكيش دقة نظر بروحه + +256 +00:28:04,330 --> 00:28:09,430 +غمضي و اتوكل على الله وشوف ايش النتيجة بتطلع ما ضبطش + +257 +00:28:09,430 --> 00:28:13,470 +بجلب و بشوف التاني بس هدا هتاخد منك دقيقة دقيقتين + +258 +00:28:13,470 --> 00:28:21,350 +زيادة اذا أنا لو جيت أخدت تفاضل ال N بالنسبة إلى X + +259 +00:28:21,350 --> 00:28:28,110 +ناقص تفاضل ال M بالنسبة إلى Y كلها جيت جسمتها على + +260 +00:28:28,110 --> 00:28:35,950 +ال M تفاضل N بالنسبة ل X هي ناقص Y ناقص تفاضل + +261 +00:28:35,950 --> 00:28:40,390 +بالنسبة ل Y هي ناقص على كل term من ال two terms + +262 +00:28:40,390 --> 00:28:47,480 +اللي عندنا يبقى بصير ناقص اتنين Y ناقص تسعة X Y + +263 +00:28:47,480 --> 00:28:53,380 +تربيع كله مقسوما على M وين ال M هذه يبقى مقسوما + +264 +00:28:53,380 --> 00:29:03,260 +على Y تربيع Y تربيع زائد تلاتة X Y تكعيب و يساوي هذه + +265 +00:29:03,260 --> 00:29:11,480 +يا بنات بصير سالب تلاتة Y سالب تسعة X Y تربيع على y + +266 +00:29:11,480 --> 00:29:19,820 +تربيع زائد تلاتة x y تكعيب y ايش رأيك في عامل مشترك + +267 +00:29:19,820 --> 00:29:27,900 +فوق اللي هو سالب تلاتة y عامل مشترك اذا بقدر اقول + +268 +00:29:27,900 --> 00:29:34,060 +هي سالب تلاتة y عامل مشترك بظل عندي واحد زائد + +269 +00:29:34,060 --> 00:29:42,530 +تلاتة x y على في عامل مشترك هنا عندنا y تربيع يبقى + +270 +00:29:42,530 --> 00:29:48,710 +لو أخدت y تربيع عامل مشترك بدون واحد زائد تلاتة xy + +271 +00:29:48,710 --> 00:29:55,130 +أظن بقدر اختصر جوس مع جوس و y مع y تربيع يبقى هذا + +272 +00:29:55,130 --> 00:30:01,990 +الكلام متساوي ناقص تلاتة على y ناقص تلاتة على y + +273 +00:30:01,990 --> 00:30:09,230 +ايش رأيك function في y only يبقى هذي function في + +274 +00:30:09,230 --> 00:30:16,450 +y only طب اطلعي هل الشغل الصح ولا غلط تعالى تشوف + +275 +00:30:16,450 --> 00:30:20,510 +فيه الأصل تكون function في y و الله function في x + +276 +00:30:20,510 --> 00:30:27,550 +الناقص لمن؟ لل M يبقى جسمت على ال M الناتج طلع + +277 +00:30:27,550 --> 00:30:33,310 +function في من؟ يبقى شغل سليم مائة بالمائة بدي اجي + +278 +00:30:33,310 --> 00:30:44,350 +اعرف ما هو شكل ال integrating factor يبقى + +279 +00:30:44,350 --> 00:30:51,430 +شكل ال integrating factor لميو of Y بده يسوي E أس + +280 +00:30:51,430 --> 00:31:00,170 +تكامل F of Y Dy يعني E أس تكامل الـ f of y عندنا + +281 +00:31:00,170 --> 00:31:05,570 +اللي يبقى dash ناقص ثلاثة على y يبقى ناقص ثلاثة + +282 +00:31:05,570 --> 00:31:14,130 +على y dy يبقى E أس ناقص ثلاثة لإن ال y و constant + +283 +00:31:14,130 --> 00:31:17,830 +تكتبهوش لإن بصير E أس constant بعد ذلك يعني + +284 +00:31:17,830 --> 00:31:22,930 +constant لا يغير ولا يبدل من شكل man من شكل الحل + +285 +00:31:23,380 --> 00:31:30,680 +يبقى النتيجة هادى E أس لن Y و السالب تلاتة ال E و + +286 +00:31:30,680 --> 00:31:36,870 +الـ لن عكس بعض يبقى النتيجة قداش y أسالب تلاتة اذا عامل + +287 +00:31:36,870 --> 00:31:43,030 +التكامل هو y أسالب تلاتة إذا بتاجي على المعادلة + +288 +00:31:43,030 --> 00:31:49,230 +star هذه وضربها في عامل التكامل بعد ما ضربها لازم + +289 +00:31:49,230 --> 00:31:54,990 +تطلع المعادلة عن مالها وإلا بصير شغلي في غلط بدي + +290 +00:31:54,990 --> 00:31:59,090 +أروح أدور و أنا الغلطة و أرجعها إذا بدي أروح أضرب + +291 +00:31:59,090 --> 00:32:04,480 +المعادلة star في عامل التكامل y أسالب تلاتة يبقى + +292 +00:32:04,480 --> 00:32:15,800 +باجي بقوله multi if lie equation star by y السالب + +293 +00:32:15,800 --> 00:32:22,160 +ثلاث و جد نحصل على بدي أضرب y السلب تلاتة هنا بيضل + +294 +00:32:22,160 --> 00:32:32,260 +كده؟ y السلب واحد صح؟ يبقى هذا y السلب واحد بدي + +295 +00:32:32,260 --> 00:32:39,240 +اضرب y أساليب تلاتة هنا بظل بس تلاتة x يبقى زائد + +296 +00:32:39,240 --> 00:32:46,160 +تلاتة x زائد هنا y أساليب تلاتة في واحد في y + +297 +00:32:46,160 --> 00:32:55,870 +أساليب تلاتة وهنا سالب x y أساليب اتنين مظبوط ضربت + +298 +00:32:55,870 --> 00:33:00,990 +في y السلب تلاتة و اتنين + +299 +00:33:00,990 --> 00:33:05,830 +و هاد ال y prime كلها تساوي zero و هاد المعادلة يا + +300 +00:33:05,830 --> 00:33:12,610 +بنات سميها y double star إذن كأنه الآن أنا سبت + +301 +00:33:12,610 --> 00:33:18,370 +المعادلة star و حولتها إلى شكل جديد إلى المعادلة y + +302 +00:33:18,370 --> 00:33:22,550 +double star الآن حسب المعلومات اللي عندي في الجزء + +303 +00:33:22,550 --> 00:33:26,330 +النظري اللي لازم غصب عن اللي ما يرضى المعادلة ده + +304 +00:33:26,330 --> 00:33:30,910 +تطلع مالة exact لو ما طلعتش exact في أحد احتمالين + +305 +00:33:31,140 --> 00:33:35,240 +يا إما إشتقاطك خطأ يا إما حسابك في ال integrating + +306 +00:33:35,240 --> 00:33:40,180 +factor خطأ بديك تروح تراجع وين الغلطة و تكتش فيها + +307 +00:33:40,180 --> 00:33:45,180 +و تعدل المثال اللي قدري يبقى أنا بدي أخد تفاضل ال + +308 +00:33:45,180 --> 00:33:52,840 +M بالنسبة إلى Y يبقى ناقص Y أس ناقص 2 وهذه تبقى + +309 +00:33:52,840 --> 00:34:01,040 +ايه؟ Zero تمام؟ بدي أخد تفاضل ال N بالنسبة ل X هذه + +310 +00:34:01,040 --> 00:34:08,240 +مش غتب جداش ب Zero ناقص تفاضل X بواحد بظل اص ناقص + +311 +00:34:08,240 --> 00:34:14,100 +اتنين ماذا رأيك بالإجابتين؟ نفس الشيء يبقى هذا + +312 +00:34:14,100 --> 00:34:20,600 +معناه انه تفاضل ال M بالنسبة إلى Y يساوي تفاضل ال + +313 +00:34:20,600 --> 00:34:26,000 +M بالنسبة إلى X هذا معناه ان ال differential + +314 +00:34:26,000 --> 00:34:34,820 +equation W star is exact مدام exact هذا معناته + +315 +00:34:34,820 --> 00:34:41,440 +that there exists a function y of x و y بده يساوي + +316 +00:34:41,440 --> 00:34:47,600 +constant c1 مثلا such that بحيث أن + +317 +00:34:53,930 --> 00:34:59,910 +تفاضل الـ Phi بالنسبة إلى X بدي يسوي M لجديدة مش + +318 +00:34:59,910 --> 00:35:04,370 +العتيقة لإن احنا المعادلة العتيقة حطناها بالشكل + +319 +00:35:04,370 --> 00:35:10,510 +الجديد هذا يبقى صار Y أس سالب واحد زائد تلاتة X + +320 +00:35:10,510 --> 00:35:18,270 +و تفاضل ال Phi بالنسبة إلى Y يسوي Y أس ناقص تلاتة + +321 +00:35:18,270 --> 00:35:25,610 +ناقص X و Y أس ناقص اتنين أظن هذه أسهل في الحسابات + +322 +00:35:25,610 --> 00:35:29,570 +الآن لما لا يوجد فيها غير Y و لا يوجد فيها غير X + +323 +00:35:29,570 --> 00:35:34,290 +واحدة هذه فيها Y وهذه فيها يعني بدأت كاملة تنتين + +324 +00:35:34,290 --> 00:35:38,890 +وهذه بدأت كاملة تنتين بس هذه ليست فيها Y إذا الـ + +325 +00:35:38,890 --> 00:35:44,710 +Phi of X و Y لو كامل بالنسبة ل X بيصير Y أسالف + +326 +00:35:44,710 --> 00:35:53,550 +واحد X وهذه زائد تلاتة X تربيع على إتنين و زائد + +327 +00:35:53,550 --> 00:36:01,830 +function of y تمام بتروح اشتقها بالنسبة إلى y يبقى + +328 +00:36:01,830 --> 00:36:07,290 +لو اشتقتها إلى y بصير partial phi على partial y + +329 +00:36:07,290 --> 00:36:15,710 +يساوي هذه بصير سالف y و سالف اتنين في x + +330 +00:36:21,120 --> 00:36:26,960 +ما هو رأيك + +331 +00:36:26,960 --> 00:36:28,680 +في الاتنين؟ + +332 +00:36:31,470 --> 00:36:37,070 +إذا بدروح أسويهم ببعض يبقى لو سويتهم ببعض بصينا + +333 +00:36:37,070 --> 00:36:45,150 +ناقص y أس ناقص اتنين x زائد f prime of y يبقى يسوي + +334 +00:36:45,150 --> 00:36:53,770 +y السالب تلاتة ناقص x y السالب اتنين أظن هذه هذه + +335 +00:36:53,770 --> 00:37:05,450 +صح يبقى هذا معناه إن ال F' of Y يسوي Y السلب تلاتة + +336 +00:37:05,660 --> 00:37:11,620 +هذا معناه ان F of Y بدي كامل بالنسبة ل Y يبقى + +337 +00:37:11,620 --> 00:37:17,540 +بأضيف لل أس واحد و بقسم على الأس الجديد يبقى Y + +338 +00:37:17,540 --> 00:37:24,820 +السالب اتنين على سالب اتنين زائد constant to C2 + +339 +00:37:24,820 --> 00:37:30,720 +إذن الحل تبع المعادلة الأصلية هو Phi اللي عندنا + +340 +00:37:30,720 --> 00:37:43,300 +يبقى باجي بقوله ذا Solution is Phi of XY يسوي Y + +341 +00:37:43,300 --> 00:37:51,100 +السلب واحد في ال X زائد تلاتة X تربيع على الإتنين + +342 +00:37:51,100 --> 00:38:00,200 +زائد F of Y هيها يبقى ناقص Y ناقص إتنين على اتنين + +343 +00:38:00,200 --> 00:38:07,400 +و كل هذا الكلام بيكون ساوي constant C يبقى هذا الحل + +344 +00:38:07,400 --> 00:38:11,980 +تبع المعادلة اللي عندنا يعني أنا في الأول بدي أحول + +345 +00:38:11,980 --> 00:38:17,560 +المعادلة الى exact و من ثم بروح أحل المعادلة اللي + +346 +00:38:17,560 --> 00:38:24,180 +عندنا هذه تمام نجي ناخد كمان مثال على هالشغل هذي + +347 +00:38:24,180 --> 00:38:26,040 +و نشوف كيف بدنا نحله + +348 +00:38:38,650 --> 00:38:52,930 +طيب example two solve + +349 +00:38:52,930 --> 00:38:54,350 +the differential equation + +350 +00:38:59,460 --> 00:39:11,040 +حل المعادلة التفاضلية xy زائد y تربيع زائد y كل + +351 +00:39:11,040 --> 00:39:21,140 +هذا مقدار واحد زائد x زائد اتنين y في dy by dx + +352 +00:39:21,140 --> 00:39:26,200 +يساوي zero وهذه المعادلة اليمين المعادلة + +353 +00:39:28,290 --> 00:39:34,930 +نعود لـ Solution ناخد + +354 +00:39:34,930 --> 00:39:43,410 +تفاضل M بالنسبة إلى Y Y يساوي تفاضل M بالنسبة إلى + +355 +00:39:43,410 --> 00:39:54,710 +Y هو X زائد 2Y زائد 1 و تفاضل M بالنسبة .. أولا + +356 +00:39:54,710 --> 00:40:03,360 +خليها السطر اللي بعده و تفاضل ال M بالنسبة إلى X + +357 +00:40:03,360 --> 00:40:09,920 +يساوي واحد و انت مع السلامة بالزيرة من الأثنين هذول + +358 +00:40:09,920 --> 00:40:15,700 +بقدر أقول إذا تفاضل ال M بالنسبة إلى Y لا يساوي + +359 +00:40:15,700 --> 00:40:19,840 +تفاضل ال N بالنسبة إلى X إذا المعادلة أستخدمها + +360 +00:40:19,840 --> 00:40:26,860 +ديمانها not exact هذا يقدر يعطينا ذات differential + +361 +00:40:26,860 --> 00:40:36,520 +equation is not exact مدام ما هياش exact تدبر حالك + +362 +00:40:36,520 --> 00:40:42,660 +أقوله بسيط اذا أنا بدي اروح ادور على عامل التكامل + +363 +00:40:43,060 --> 00:40:49,860 +لذلك بروح اخد تفاضل ال N بالنسبة الى Y ناقص تفاضل + +364 +00:40:49,860 --> 00:41:03,740 +ال N بالنسبة ل X مقسوما على N يبقى + +365 +00:41:03,740 --> 00:41:07,760 +هذا الكلام بدى يسوي تفاضل ال N بالنسبة الى Y X + +366 +00:41:07,760 --> 00:41:15,260 +زائد 2Y زائد 1 ناقص طب فاضل ان بالنسبة إلى y بواحد + +367 +00:41:15,260 --> 00:41:24,040 +على n .. n اللي هو x زائد اتنين y يبقى x زائد + +368 +00:41:24,040 --> 00:41:30,180 +اتنين y على x زائد اتنين y + +401 +00:46:02,600 --> 00:46:11,300 +يبقى بروح بقوله five of x y يساوي ex في ال y + +402 +00:46:11,300 --> 00:46:17,460 +زائد ex في ال y تربيع على اتنين مع اتنين مع + +403 +00:46:17,460 --> 00:46:24,740 +ال سلامة زائد f of x كوني كاملت بالنسبة الى y يبقى + +404 +00:46:24,740 --> 00:46:31,200 +باعتبر هذا هي function of x طب الفاضلها partial + +405 +00:46:31,200 --> 00:46:39,200 +phi by partial x يساوي هذا يعتبر حصل ضرب داليتين + +406 +00:46:39,200 --> 00:46:46,820 +يبقى تفاضل x بواحد بصير ex في ال y تفاضل ex بال + +407 +00:46:46,820 --> 00:46:53,130 +ex itself يبقى ex في ال y أي تفاضليزي الأول + +408 +00:46:53,130 --> 00:46:59,710 +تفاضلي الثاني ex زي ما هي في ال y تربيع زائد + +409 +00:46:59,710 --> 00:47:08,400 +ال F Prime of X أليس تهادي هي هادي؟ صح؟ مش هذه + +410 +00:47:08,400 --> 00:47:10,840 +تفاضل five بالنسبة لكتر أو تفاضل five بالنسبة لكتر + +411 +00:47:10,840 --> 00:47:17,000 +اذا بسووا الطرفين البعض يبقى باجي بقوله اذا ال ex + +412 +00:47:17,000 --> 00:47:26,520 +في ال Y زي ال X ex في ال y زي + +413 +00:47:26,520 --> 00:47:31,520 +ال .. احنا .. اه بالفضل احنا مظبوط لا احنا بيجيب + +414 +00:47:31,520 --> 00:47:38,550 +.. هذه مظبوط ال ex في ال y زائد x في ال y + +415 +00:47:38,550 --> 00:47:47,650 +زائد x في ال y تربيع زائد F prime of X يساوي + +416 +00:47:47,650 --> 00:47:54,770 +اللي عندنا x في ال y زائد x في ال y + +417 +00:47:54,770 --> 00:48:01,390 +تربيع زائد x في ال y أظن ال term هذا هو ال + +418 +00:48:01,390 --> 00:48:08,720 +term هذا و ال term هذا هو ال term هذا و ال term هذا + +419 +00:48:08,720 --> 00:48:13,080 +هو ال term هذا، مصبوح؟ يبقى بيننا يعني بيبقى لنا + +420 +00:48:13,080 --> 00:48:19,100 +five F prime of X يساوي كده؟ يساوي zero معناته ال + +421 +00:48:19,100 --> 00:48:26,680 +F of X بده يساوي كل مصطلح تاني وليكن C2 إذا the + +422 +00:48:26,680 --> 00:48:38,160 +solution of the Differential equation star S التي + +423 +00:48:38,160 --> 00:48:47,140 +حصلنا عليها في اكس و Y يساوي X في ال ex في Y + +424 +00:48:47,140 --> 00:48:54,060 +زائد ex في Y تربيع وهذا كله كونستان يبقى هذا + +425 +00:48:54,060 --> 00:49:00,330 +كله ساوي كونستان C هذا هو الحل لمعادلة + +426 +00:49:00,330 --> 00:49:08,390 +التفاضلية تمام لحد هنا stop لا يزال عندنا مثال بس + +427 +00:49:08,390 --> 00:49:12,530 +المثال طويل شوية عالمين على ال integrating factor + +428 +00:49:12,530 --> 00:49:17,550 +ثالث بنخليه للمحاضرة الساعة اتناشر اللي هي بعد + +429 +00:49:17,550 --> 00:49:22,330 +الظهر ان شاء الله تبارك وتعالى يعطيكوا العافية diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/r9WgIkSN3M4.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/r9WgIkSN3M4.srt new file mode 100644 index 0000000000000000000000000000000000000000..1b9171414f0a22fdbbededd2572386a419919e9e --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/r9WgIkSN3M4.srt @@ -0,0 +1,1498 @@ +1 +00:00:20,740 --> 00:00:25,060 +بسم الله الرحمن الرحيم نذكر بأخر حاجة أخذناها المرة + +2 +00:00:25,060 --> 00:00:28,800 +اللي فات في section تلاتة أربعة بدأنا بالرونسكين + +3 +00:00:28,800 --> 00:00:33,680 +وعرفنا أن الرونسكين هو عبارة عن محدد ثم انتقلنا إلى + +4 +00:00:33,680 --> 00:00:38,780 +نظرية دو شقين الشق الأول كان إذا كان عندي + +5 +00:00:38,780 --> 00:00:42,680 +مجموعة من ال vectors وكانوا linearly dependent + +6 +00:00:42,680 --> 00:00:48,580 +يبقى لازم الرونسكين يساوي zero عند كل X موجودة في + +7 +00:00:48,580 --> 00:00:53,670 +interval ما أخذنا العملية العكسية أنه لو كان ال + +8 +00:00:53,670 --> 00:00:58,710 +رونسكين لا يساوي 0 يبقى مجموعة هذه ال functions أو + +9 +00:00:58,710 --> 00:01:02,110 +مجموعة هذه ال vectors are linearly independent + +10 +00:01:02,110 --> 00:01:08,310 +وعطينا المرة اللي فاتت مثل على أنه ممكن يكون ال + +11 +00:01:08,310 --> 00:01:13,350 +رونسكين يساوي 0 لكن ال two functions are not + +12 +00:01:13,350 --> 00:01:18,440 +linearly dependent بالـ Linearly Independent لأنه + +13 +00:01:18,440 --> 00:01:24,120 +عكس النظرية ما هوَش صحيح تمام يعطينا مثال كان G1 + +14 +00:01:24,120 --> 00:01:28,240 +of X تساوي X تربيع و G2 of X هو X في absolute + +15 +00:01:28,240 --> 00:01:33,920 +value لـ X ننتقل إلى مثال جديد يقول يشوف ليها ال + +16 +00:01:33,920 --> 00:01:37,280 +functions هذه الواحد و X السالب واحد و X السالب + +17 +00:01:37,280 --> 00:01:42,270 +اثنين علماً بأن X دائماً و أبداً تأخذ قيمة موجبة هل + +18 +00:01:42,270 --> 00:01:46,410 +هدول linearly dependent ولا linearly independent + +19 +00:01:46,410 --> 00:01:51,490 +فبجيب أقول لك كويس إذا أنا بدي آخذ رونسكين as a + +20 +00:01:51,490 --> 00:01:56,830 +function of X هي الدالة الأولى هي الدالة الثانية + +21 +00:01:56,830 --> 00:02:02,980 +هي الدالة الثالثة مشان أكمل هذا المحدد بدي أشتق مرة + +22 +00:02:02,980 --> 00:02:08,660 +ثانية يبقى المشتق هذه بـ 0 هذه ناقص X أس ناقص 2 هذه + +23 +00:02:08,660 --> 00:02:16,620 +ناقص 2 X أس ناقص 3 نشتق كمان مرة يبقى Zero 2 X + +24 +00:02:16,620 --> 00:02:24,280 +أس ناقص 3 هذه 6 X أس ناقص 4 يبقى هيشتغلنا + +25 +00:02:24,280 --> 00:02:29,900 +الدوال مرتين تمام الآن بدي قداش أحسب قيمة هذا + +26 +00:02:29,900 --> 00:02:34,680 +الرونسكين يبقى هفك المحدد باستخدام عناصر العمود + +27 +00:02:34,680 --> 00:02:42,250 +الأول يبقى هذا الكلام بده يساوي واحد فيه حاصل ضرب + +28 +00:02:42,250 --> 00:02:49,250 +عناصر القطر الرئيسي يبقى ناقص 6 x أس ناقص 6 ناقص + +29 +00:02:49,250 --> 00:02:58,130 +مع ناقص زائد 4 x أس ناقص 6 ناقص 0 زائد 0 يبقى بناء + +30 +00:02:58,130 --> 00:03:04,890 +ً عليه أصبح ناتج يساوي ناقص 2 X أس ناقص 6 + +31 +00:03:04,890 --> 00:03:11,230 +طبعاً هذا الكلام كله لا يساوي زيرو ليش؟ since لأن + +32 +00:03:11,230 --> 00:03:16,360 +الـ X greater than zero إذا هذا المقدار لا يمكن أن + +33 +00:03:16,360 --> 00:03:22,120 +يساوي zero في أي يوم من الأيام ولا عند نقطة ولا + +34 +00:03:22,120 --> 00:03:26,660 +عند كل النقاط لأن x greater than zero بناء عليه + +35 +00:03:26,660 --> 00:03:32,940 +هذا الكلام يعني أن هذه ال functions تلاتة are + +36 +00:03:32,940 --> 00:03:37,340 +linearly dependent ولا linearly independent + +37 +00:03:38,180 --> 00:03:44,400 +Linearly Independent يبقى هنا since بما أن + +38 +00:03:44,400 --> 00:03:48,940 +Wronskian as a function of x لا يساوي zero + +39 +00:03:48,940 --> 00:03:56,420 +يبقى the functions اللي هي واحد و x السالب واحد و x + +40 +00:03:56,420 --> 00:04:02,620 +السالب اثنين are linearly independent functions + +41 +00:04:02,620 --> 00:04:14,460 +يبقى هذه دوال مستقلة عن بعض تمام نأخذ مثال يبقى + +42 +00:04:14,460 --> 00:04:26,520 +مثال كذلك show + +43 +00:04:26,520 --> 00:04:30,660 +that مبينين + +44 +00:04:30,660 --> 00:04:32,740 +the functions + +45 +00:04:35,130 --> 00:04:46,210 +اللي هما F1 of X يساوي E أُس R1 X و F2 of X يساوي + +46 +00:04:46,210 --> 00:04:55,930 +E R2 أُس X ونظل ماشيين لغاية ال FN of X بده يساوي + +47 +00:04:55,930 --> 00:05:02,110 +E أُس RN of X و الRI + +48 +00:05:22,910 --> 00:05:29,240 +سؤال مرة ثانية السؤال بيقول عن ان من ال functions + +49 +00:05:29,240 --> 00:05:35,640 +f1 وf2 وf3 هذه ال functions كل واحدة فيهم كتبناها + +50 +00:05:35,640 --> 00:05:39,580 +بدلالة ال exponential يبقى عندنا الدالة الأولى E + +51 +00:05:39,580 --> 00:05:44,780 +أس R1 X الدالة الثانية E أس R2 X الدالة الثالثة E + +52 +00:05:44,780 --> 00:05:51,780 +أس R3 X وهكذا لغاية ما نكمل باقي الدوال لغاية E أس + +53 +00:05:51,780 --> 00:05:57,090 +R N X الدوال هدول ما لهم؟ هؤلاء اللي بدنا نشوفه أو + +54 +00:05:57,090 --> 00:06:01,470 +بدنا نثبت أنهم linearly independent بشرط ر واحدة + +55 +00:06:01,470 --> 00:06:05,410 +متساوي ر اثنين ولا ر تلاتة ولا ر ولا واحدة فيهم + +56 +00:06:05,410 --> 00:06:11,570 +متساوي الثانية راح قال ليش أن ر اي لا تساوي ر جي + +57 +00:06:11,570 --> 00:06:16,230 +يبقى الارات هدول أساس ولا واحدة زي الثانية لكل + +58 +00:06:16,230 --> 00:06:21,290 +اي لا تساوي جي بدأ يثبت أن هذه ال functions هي ر + +59 +00:06:21,290 --> 00:06:27,330 +linearly independent نبدأ من ده طيب نبدأ ب .. لو بدنا نأخذها + +60 +00:06:27,330 --> 00:06:31,530 +كلها مرة واحدة صعبة جداً والصبر تاعتنا مش هتكفي + +61 +00:06:31,530 --> 00:06:37,690 +للكتابة لكن لو جينا نسترسل فبجي بقول هنا solution + +62 +00:06:37,690 --> 00:06:45,950 +لو أخذت الـ N تساوي 2 مثلاً يبقى كم function بيكون + +63 +00:06:45,950 --> 00:06:52,540 +عندي؟ كده؟ كم فانكشن يكون عندي اثنتين يبقى ما فيش + +64 +00:06:52,540 --> 00:06:56,960 +غيرهم خلي بالكم معانا هنا بقول خلي بالكم معانا هنا + +65 +00:06:58,160 --> 00:07:03,920 +يبقى لما ما عنديش فانكشن اثنتين ان يساوي اثنين يبقى + +66 +00:07:03,920 --> 00:07:10,820 +بتروح تأخذ الـ runner skin of X يبقى هذا E أس R1 X E + +67 +00:07:10,820 --> 00:07:21,660 +أس R2 X بدي أشتق يبقى R1 E أس R1 X R2 E أس R2 X + +68 +00:07:21,660 --> 00:07:28,260 +و يساوي من خواص المحددات إذا في عندي عامل مشترك بطلع + +69 +00:07:28,260 --> 00:07:34,660 +بره يبقى من العمودي الأول إيش عندي؟ عناصر E أس R1 X + +70 +00:07:34,660 --> 00:07:42,460 +من العمودي الثاني E أس R2 X بظل المحدد عندي 1 1 R1 + +71 +00:07:42,460 --> 00:07:51,150 +R2 يبقى هذا لو فكيتّه بده يصير E أس R1 زائد R2 هذا + +72 +00:07:51,150 --> 00:07:59,950 +كله في X و بدأ فك هذا المحدد يبقى R2 - R1 كله بالشكل + +73 +00:07:59,950 --> 00:08:04,470 +اللي عندنا هذا السؤال هو هل الـ X بننشل في أي يوم من + +74 +00:08:04,470 --> 00:08:06,950 +الأيام ممكن يأخذ القيمة الصفر؟ + +75 +00:08:09,510 --> 00:08:14,670 +الـ R2 ناقص R1 هل يمكن أن يأخذ صفر؟ أعطاني الشرط + +76 +00:08:14,670 --> 00:08:19,650 +الأساسي أن الـ RI لا تساوي RJ لكل I لا تساوي J + +77 +00:08:25,030 --> 00:08:32,510 +اختصاراً يا بنات ممكن أكتب هذه E أس R1 زائد R2 X في + +78 +00:08:32,510 --> 00:08:41,170 +D2 وهذا الكلام لا يساوي 0 من D2 لـ R2 ناقص R1 يبقى + +79 +00:08:41,170 --> 00:08:47,070 +لو كانت الـ N بتنين لا يمكن لهذا المقدار أن يساوي 0 + +80 +00:08:47,070 --> 00:08:55,510 +لو جئت أخذت F n تساوي تلاتة يبقى رونسكين of x يبقى + +81 +00:08:55,510 --> 00:09:04,930 +يساوي هذه E أس R1 X E أس R2 X E أس R3 X المشتقة + +82 +00:09:04,930 --> 00:09:15,220 +الأولى R1 E أس R1 X R2 E أس R2 X R3 E أس R3 X اللي + +83 +00:09:15,220 --> 00:09:22,440 +هم بدنا نشتغل كمان مرة R1 تربيع E أس R1 X R2 تربيع + +84 +00:09:22,440 --> 00:09:28,620 +E أس R2 X R3 تربيع E أس R3 X + +85 +00:09:32,580 --> 00:09:36,020 +إذا أنا ممكن أعمل زي اللي قبله بالضبط أطلع عامل + +86 +00:09:36,020 --> 00:09:40,540 +مشتركة من العمود الأول والعمود الثاني والعمود + +87 +00:09:40,540 --> 00:09:47,380 +الثالث يبقى هذا الكلام بده يساوي E أس R 1 X E أس R + +88 +00:09:47,380 --> 00:09:56,380 +2 X E أس R 3 X يبقى عندنا المحدد 1 1 1 R1 + +89 +00:09:56,380 --> 00:10:04,580 +R2 R3 R1 تربيع R2 تربيع R3 تربيع بالشكل اللي عندنا + +90 +00:10:04,580 --> 00:10:13,060 +هذا أو بمعنى آخر هذا الكلام بده يساوي E أس R1 زائد + +91 +00:10:13,060 --> 00:10:19,760 +R2 زائد R3 كله fixed و بده أروح أفك المحدد هذا مثلاً + +92 +00:10:19,760 --> 00:10:26,160 +باستخدام عناصر العمود الأول يبقى لو فكيته باستخدام + +93 +00:10:26,160 --> 00:10:30,640 +عناصر العمود الأول بده يجي هذا اللي بقوله هذا الكلام + +94 +00:10:30,640 --> 00:10:36,460 +مضروب فيه واحد في المحدد الأصغر المناظر له اللي هو + +95 +00:10:36,460 --> 00:10:46,240 +R2 R3 تربيع ناقص R2 تربيع R3 يبقى هذا ال term + +96 +00:10:46,240 --> 00:10:52,850 +الأول حسب قاعدة الإشارات ناقص R1 و هنا نُشطب الصف + +97 +00:10:52,850 --> 00:11:00,210 +تبعه والعمود بيصير R تلاتة تربيع ناقص R اثنين + +98 +00:11:00,210 --> 00:11:06,210 +تربيع جئنا هنا زائد R واحد تربيع أو square اشتت + +99 +00:11:06,210 --> 00:11:11,610 +بيصفّوا عموده بيصير R تلاتة ناقص R اثنين جفلنا + +100 +00:11:11,610 --> 00:11:20,350 +الجوز هذا الكلام بده يساوي E أس R1 زائد R2 زائد R3 + +101 +00:11:20,350 --> 00:11:24,170 +كله في X هذا الكلام في + +102 +00:11:53,070 --> 00:11:57,440 +ممكن آخذ من هذا عامل مشترك أنا ممكن آخذ R تلاتة + +103 +00:11:57,440 --> 00:12:03,060 +ناقص R اثنين عامل مشترك من كل الـ three terms يبقى + +104 +00:12:03,060 --> 00:12:11,680 +هذا E أس R واحد زائد R اثنين زائد R تلاتة كله في X في + +105 +00:12:11,680 --> 00:12:18,980 +R تلاتة ناقص R اثنين مين بيضل عند هنا R اثنين R تلاتة + +106 +00:12:19,660 --> 00:12:27,820 +و هنا بيظل ناقص R1 R3 ناقص + +107 +00:12:27,820 --> 00:12:35,460 +R1 R2 ناقص R1 في الجوز الثاني يعني هداني فكّته زائد + +108 +00:12:35,460 --> 00:12:43,140 +R1 تربيع ما فيش غيرها بالشكل اللي عندنا هنا طيب هذا + +109 +00:12:43,140 --> 00:12:51,100 +الكلام بده يساوي E أس R1 زائد R2 زائد R3 في X في + +110 +00:12:51,100 --> 00:12:58,780 +الـ R3 ناقص R2 الشكل اللي عندنا هنا ناقص R2 لجوز + +111 +00:12:58,780 --> 00:13:04,020 +الأول شو رأيكم هدول ممكن آخذ منهم إيه عشان R3 + +112 +00:13:04,020 --> 00:13:12,330 +عامل مشترك يبقى لو أخذنا R3 عامل مشترك R3 بيظل من + +113 +00:13:12,330 --> 00:13:22,010 +عندي؟ بيظل عندي R2 ناقص R1 و هنا لو أخذنا ناقص R1 + +114 +00:13:22,010 --> 00:13:26,890 +عامل مشترك بيظل R2 ناقص R1 + +115 +00:13:29,040 --> 00:13:37,440 +طيب هنا أنا أنا أنا أنا + +116 +00:13:37,440 --> 00:13:53,920 +أنا + +117 +00:13:53,920 --> 00:13:56,600 +أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا أنا + +118 +00:13:56,600 --> 00:14:00,950 +أنا أنا أنا أنا أنا هل يمكن لهذا المقدار أن يساوي + +119 +00:14:00,950 --> 00:14:05,430 +Zero في يوم من الأيام؟ في إمكانية ليش؟ لأن ال + +120 +00:14:05,430 --> 00:14:08,970 +exponential دائماً و أبداً positive greater than + +121 +00:14:08,970 --> 00:14:15,910 +zero غير هيك ولا واحدة من R تساوي R الثانية R I لا + +122 +00:14:15,910 --> 00:14:22,570 +يساوي R J لكل الـ I التي لا تساوي J يبقى لا يمكن + +123 +00:14:22,570 --> 00:14:28,010 +لأي قوس من هذه الأقواس أن تساوي zero إذا بروح بقوله + +124 +00:14:28,010 --> 00:14:34,720 +هذا ما له؟ لا يساوي 0 أو إن شئتم فقولوا هذا إيه؟ اصر + +125 +00:14:34,720 --> 00:14:43,440 +واحد زائد R2 زائد R3 كله في X في D تلاتة هذا كله + +126 +00:14:43,440 --> 00:14:49,770 +ما له؟ لا يساوي 0 إذا في الحالة الأولى كانت E أس R1 + +127 +00:14:49,770 --> 00:14:54,750 +X و E أس R2 X are linearly independent في الحالة + +128 +00:14:54,750 --> 00:14:59,670 +الثانية أصبح E أس R1 E أس R2 E أس R3 برضه are + +129 +00:14:59,670 --> 00:15:06,290 +linearly independent طيب الآن بده يجي أقول لو كان + +130 +00:15:06,290 --> 00:15:11,870 +عندي إيه اللي هو الـ N من ال functions يعني احنا بدنا + +131 +00:15:11,870 --> 00:15:16,150 +نعمّم بدل ما نمشي اثنين و تلاتة و أربعة بدنا نروح + +132 +00:15:16,150 --> 00:15:22,070 +إلى N يبقى بده يجي آخذ هنا also + +133 +00:15:23,870 --> 00:15:28,890 +لو أخذت رونسكين as a function of x اللي هو بده + +134 +00:15:28,890 --> 00:15:39,410 +يساوي E أُس R1X E أُس R2X وظلت مستمر لغاية E أُس RNX + +135 +00:15:40,000 --> 00:15:50,480 +بالضبط أشتق يبقى R1 E أس R1 X R2 E أس R2 X RN E + +136 +00:15:50,480 --> 00:16:01,650 +أس RN X نشتق كمان مرة يبقى R1 تربيع E أس R1 XR2 + +137 +00:16:01,650 --> 00:16:11,070 +تربيع E أُس R2 X ونظل ماشيين R N تربيع E أُس R N X + +138 +00:16:11,070 --> 00:16:19,330 +لو ظلت مستمرة يا بنات أوصل لوين للـ R1 أُس N ناقص + +139 +00:16:19,330 --> 00:16:26,020 +واحد E أُس R1 X يعني ما أقصدش للمشتقة قانونياً وإنما + +140 +00:16:26,020 --> 00:16:31,000 +أقل من المشتقة قانونياً بمقدار لأن الصف الأول ما فيش + +141 +00:16:31,000 --> 00:16:36,920 +فيه اشتقاء طيب تمام الثانية R2 to the power n + +142 +00:16:36,920 --> 00:16:45,760 +minus الـ one E أس R to X نظل مستمرين لغاية RN أس N + +143 +00:16:45,760 --> 00:16:53,900 +ناقص واحد E أُس RN X بالشكل اللي عندنا هذا طيب لو + +144 +00:16:53,900 --> 00:16:59,140 +جئتها عملت زي اللي قبل يبقى النتيجة حكت التالي بدي + +145 +00:16:59,140 --> 00:17:09,000 +يصير E أُس R1 زائد R2 زائد R3 زائد RN كله في X في + +146 +00:17:09,000 --> 00:17:17,760 +مين يا بنات؟ في ال DN D2 D3 DN وهذا كله لا يساوي + +147 +00:17:17,760 --> 00:17:20,760 +zero where حيث + +148 +00:17:23,060 --> 00:17:30,820 +بننشل نشوف مين هي DN هذه حيث ال DN هي عبارة عن + +149 +00:17:30,820 --> 00:17:43,210 +المحدد 1 1 1 هنا R1 R2 R3 RN هنا R1 تربيع + +150 +00:17:43,210 --> 00:17:52,090 +R2 تربيع R3 تربيع RN تربيع ونظل ماشيين لغاية R1 + +151 +00:17:52,090 --> 00:17:59,020 +أس N ناقص واحد R2 أُس N ناقص واحد R3 أُس N ناقص + +152 +00:17:59,020 --> 00:18:06,540 +واحد RN أُس N ناقص واحد وهي المحدد وهذا ما له؟ لا + +153 +00:18:06,540 --> 00:18:13,810 +يساوي زيرو كذلك ما دام لا يساوي زيرو يبقى صح اللي + +154 +00:18:13,810 --> 00:18:21,270 +هي ال E أس R one X و ال E أس R two X ونظل ماشي لغاية + +155 +00:18:21,270 --> 00:18:28,570 +E أس R in X are linearly independent ليش؟ لأن + +156 +00:18:28,570 --> 00:18:35,050 +المحدد تبعهم كله لا يساوي زيرو و هنا stop انتهى + +157 +00:18:35,050 --> 00:18:42,830 +هذا ال section وإلى يكون أرقام المسائل من exercises + +158 +00:18:42,830 --> 00:18:50,210 +تلاتة أربعة يبقى exercises تلاتة أربعة واحد اثنين + +159 +00:18:50,210 --> 00:19:01,670 +أربعة و هنا سبعة و هنا تمانية بدنا + +160 +00:19:01,670 --> 00:19:09,520 +نأتي الآن لأهم section موجود في هذا ال chapter أو من + +161 +00:19:09,520 --> 00:19:25,620 +أهم ال sections اللي موجودة في هذا ال chapter هذا + +162 +00:19:25,620 --> 00:19:32,390 +الموضوع الآن اللي هو section 3-5 تلاتة خمسة اللي هو + +163 +00:19:32,390 --> 00:19:38,550 +dimensions dimensions + +164 +00:19:38,550 --> 00:19:45,870 +مُفرضها dimension يعني أبعاد dimensions يعني أبعاد + +165 +00:19:45,870 --> 00:19:52,230 +نُعطي + +166 +00:19:52,230 --> 00:19:59,030 +تعريفين وبعد هيك نبدأ في طرح الأمثلة definition + +167 +00:20:01,970 --> 00:20:17,250 +Let capital V Be A Vector Space Vector Space Then V + +168 +00:20:17,250 --> 00:20:25,530 +Is Said To Be A Finite Dimensional Vector + +169 +00:20:39,370 --> 00:20:50,150 +finite dimensional vector space F النقطة الأولى + +170 +00:20:50,150 --> 00:20:52,330 +there exists a set + +171 +00:21:04,520 --> 00:21:18,660 +of linearly + +201 +00:27:50,410 --> 00:27:54,930 +If V is a vector space then V is said to be a finite + +202 +00:27:54,930 --> 00:27:59,010 +dimensional vector space. F إيش يعني finite + +203 +00:27:59,010 --> 00:28:04,150 +dimensional vector space؟ finite محدود و dimension + +204 +00:28:04,150 --> 00:28:09,060 +قصدها يبقى لما أقول finite dimensional vector space + +205 +00:28:09,060 --> 00:28:15,680 +يعني هذا ال vector space له أبعاد محدودة تمام إذا + +206 +00:28:15,680 --> 00:28:22,960 +تحقق شرطان ما هما هذان الشرطان؟ الشرط الأول بيقول if + +207 +00:28:22,960 --> 00:28:28,440 +there exists a set of n linearly independent vectors of V + +208 +00:28:28,440 --> 00:28:33,860 +لقيت لي two vectors ثلاثة أربعة خمسة قد ما يكون + +209 +00:28:33,860 --> 00:28:38,900 +هدول المجموعة are linearly independent. الشرط الأول + +210 +00:28:38,900 --> 00:28:44,820 +الشرط الثاني: every set of more than n elements is + +211 +00:28:44,820 --> 00:28:51,840 +linearly dependent. يبقى أنا لقيت عندي n من الـ + +212 +00:28:51,840 --> 00:28:55,640 +linearly independent vectors لو حطيت عليهم كمان + +213 +00:28:55,640 --> 00:29:01,660 +واحد بصير العدد هم جديد ان زيد واحد يعني ان زيد واحد + +214 +00:29:01,660 --> 00:29:07,680 +فما فوقه يعتبر linearly dependent. ممتاز جدا يبقى ال + +215 +00:29:07,680 --> 00:29:13,060 +vector space اللي اسمه V بقول عنه finite dimensional محدود + +216 +00:29:13,060 --> 00:29:18,800 +إذا قدرت أجيب n من ال linearly independent + +217 +00:29:18,800 --> 00:29:23,980 +elements أي عدد آخر سواء إن تبعتي هدول و ازيد + +218 +00:29:23,980 --> 00:29:28,560 +عليهم واحد أو من غيرهم يجب أن يكونوا كلهم linearly + +219 +00:29:28,560 --> 00:29:33,320 +dependent. إن حدث ذلك يبقى بقول هذا finite + +220 +00:29:33,320 --> 00:29:38,900 +dimensional vector space و ال dimension إله البعد + +221 +00:29:38,900 --> 00:29:43,100 +تبعه بدي يساوي قداش؟ بدي يساوي n. يبقى in the above + +222 +00:29:43,100 --> 00:29:46,320 +definition في التعريفة لو we say that بروح نقول + +223 +00:29:46,320 --> 00:29:52,020 +إنه في has dimension n أن البعد تبع هذا ال vector + +224 +00:29:52,020 --> 00:29:57,940 +space يساوي n. أو صياغة أخرى بقول إن ال V is n + +225 +00:29:57,940 --> 00:30:01,480 +dimensional vector space. إن قلت ال dimension له + +226 +00:30:01,480 --> 00:30:06,920 +اللي عدد الأبعاد تبعه يساوي n أو قلت هو finite n + +227 +00:30:06,920 --> 00:30:10,140 +dimensional vector space. الصياغة هذه أو الصياغة + +228 +00:30:10,140 --> 00:30:15,460 +هذه الاتنين are the same. يبقوا متعبرين صح من ال two + +229 +00:30:15,460 --> 00:30:21,080 +definitions. الاتنين هدول طب السؤال هو: طب لو كان ال + +230 +00:30:21,080 --> 00:30:25,400 +vector space هو ال trivial ال vector space. شو ال trivial + +231 +00:30:25,400 --> 00:30:28,200 +ال vector space؟ يعني ال vector space اللي لا + +232 +00:30:28,200 --> 00:30:34,240 +يحتوي إلا على عنصر واحد و عنصر صفرين. يبقى هذا بقول + +233 +00:30:34,240 --> 00:30:38,920 +ال dimension له يساوي قداش؟ يساوي zero لأنه + +234 +00:30:38,920 --> 00:30:42,660 +ما عنديش غير عنصر غير الواحد و هذا ما فيش vectors + +235 +00:30:42,660 --> 00:30:50,340 +أخرى. إذا هو مستقل و قائم بذاته يعني linearly لو + +236 +00:30:50,340 --> 00:30:55,060 +وجدنا كلمة أخرى فيها أخرى ما فيش لإن هو zero + +237 +00:30:55,060 --> 00:30:59,420 +لحاله تمام يبقى كأنه هذا بيقولك لو فيه بدو يكونوا + +238 +00:30:59,420 --> 00:31:03,960 +linearly dependent يبقى هذا محقق بالشرطين يبقى هذا + +239 +00:31:03,960 --> 00:31:09,740 +ال dimension له يساوي zero. طيب كويس نجي للملاحظة + +240 +00:31:09,740 --> 00:31:14,270 +التانية أو الـ Definition التانية بيقول إذا vectors + +241 +00:31:14,270 --> 00:31:20,470 +V1 و V2 لغاية Vk في إن Vector Space V are said to + +242 +00:31:20,470 --> 00:31:26,610 +form a basis for V. basis يعني أساس يبقى هدول هم + +243 +00:31:26,610 --> 00:31:32,250 +الأساس بالنسبة ل V إذا تحقق شرطا. الشرط الأول أن ال + +244 +00:31:32,250 --> 00:31:38,150 +V هدول span V. Span V يعني إيش؟ يعني بيولدولي جميع + +245 +00:31:38,150 --> 00:31:43,890 +عناصر ال vector space V بالاستقلال بالبلدي هيك يعني + +246 +00:31:43,890 --> 00:31:49,530 +أي vector فيه V بدو يكون linear combination من ال + +247 +00:31:49,530 --> 00:31:54,410 +vectors من V1 لغاية Vk. يعني أي vector في ال vector + +248 +00:31:54,410 --> 00:31:59,850 +space V بقدر اكتبه على شكل linear combination من + +249 +00:31:59,850 --> 00:32:05,350 +V1 و V2 و V3 لغاية Vk لغاية Vk. هذا الشرط الأول. + +250 +00:32:05,350 --> 00:32:10,870 +الشرط الثاني: V1 و V2 و Vk are linearly independent. + +251 +00:32:10,870 --> 00:32:15,950 +يبقى أنا مشان اختبر إن هدول بنفع basis لل vector + +252 +00:32:15,950 --> 00:32:21,000 +space ولا لأ بدي أمرين. الأمر الأول: أريد أن أثبت أن + +253 +00:32:21,000 --> 00:32:23,380 +هؤلاء الوكتورز مستقلين ومستقلين ومستقلين ومستقلين + +254 +00:32:23,380 --> 00:32:25,960 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +255 +00:32:25,960 --> 00:32:29,000 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +256 +00:32:29,000 --> 00:32:29,420 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +257 +00:32:29,420 --> 00:32:32,080 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +258 +00:32:32,080 --> 00:32:35,560 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +259 +00:32:35,560 --> 00:32:42,580 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين وم + +260 +00:32:43,930 --> 00:32:47,090 +بروح للشرط الثاني في الأول أفضل ليش؟ لأنه إن طلع + +261 +00:32:47,090 --> 00:32:51,410 +linearly dependent بروح للشرط الثاني. لكن لو إذا + +262 +00:32:51,410 --> 00:32:55,010 +عملت الشرط الأول بدأ أروح أختبر من الشرط الثاني + +263 +00:32:55,010 --> 00:33:00,840 +إجباري يبقى الأفضل أن أروح لمين؟ للشرط الثاني. يبقى + +264 +00:33:00,840 --> 00:33:07,620 +يا بنات مشان يكون عندي basis لل vector space بدي + +265 +00:33:07,620 --> 00:33:12,800 +هذه المجموعة من ال vectors اللي تبقى basis يتحقق + +266 +00:33:12,800 --> 00:33:16,580 +فيها شرطا. الشرط لو تبقى كلهم linearly independent + +267 +00:33:17,810 --> 00:33:21,650 +أي vector في ال vector space بقدر أكتبه على صيغة + +268 +00:33:21,650 --> 00:33:25,250 +linear combination من هذه ال vectors. يعني هذه ال + +269 +00:33:25,250 --> 00:33:30,250 +vectors is span V بتولد لل vector V. نعطي مثال توضيحي. + +270 +00:33:30,250 --> 00:33:34,490 +مثال بيقول ما يلي. بيقول: show the vectors ومعطيني + +271 +00:33:34,490 --> 00:33:40,890 +أربعة vectors موجودة وينهؤلاء يثبت لي إن هؤلاء + +272 +00:33:40,890 --> 00:33:46,310 +بيشكلوا basis لميم ل ال vector space اللي عندنا. + +273 +00:33:46,310 --> 00:33:51,090 +بقول له والله كويس طيب تعالى نشوف هل هؤلاء بيشكلوا + +274 +00:33:51,090 --> 00:33:54,650 +basis ولا لأ يبقى بأول خطوة بدي أثبت إن هم يعيشين + +275 +00:33:55,660 --> 00:34:00,300 +Linearly Independent. لكي أثبتهم اللي قبل الماضي + +276 +00:34:00,300 --> 00:34:04,900 +أخدنا شغلات + +277 +00:34:04,900 --> 00:34:08,960 +كثيرة بداك عن طريق المحدد. ماشي. بداك تقول ال + +278 +00:34:08,960 --> 00:34:12,620 +constant في الأول والثالث والرابع يتساوي زيرو + +279 +00:34:12,620 --> 00:34:16,640 +والروح نفس الشيء في الثانية دي ال constant بزيرو ماشي بسيان + +280 +00:34:16,640 --> 00:34:24,360 +اللي بدك إياه بأي وسيلة تنشا يبقى بالداجي أشوف اللي + +281 +00:34:24,360 --> 00:34:27,560 +هو لو قلت constant في الأول و constant في الثاني و + +282 +00:34:27,560 --> 00:34:30,840 +constant في الثالث يبقى بالداجي أقول له assume + +283 +00:34:30,840 --> 00:34:41,800 +that there exists c1 و c2 و c3 و c4 in R such that + +284 +00:34:42,190 --> 00:34:53,090 +بحيث إن c1 V1 زائد c2 V2 زائد c3 V3 زائد c4 V4 بده + +285 +00:34:53,090 --> 00:34:55,170 +يساوي قداش؟ بده يساوي zero. + +286 +00:34:59,430 --> 00:35:11,530 +هذا c1 zero c1 zero زائد zero c2 سالب c2 اثنين c2 + +287 +00:35:11,530 --> 00:35:18,950 +زائد بدا يجي c3 يبقى zero اثنين c ثلاثة اثنين c + +288 +00:35:18,950 --> 00:35:25,750 +ثلاثة c ثلاثة ذات ال vector الرابع يبقاش بدو يكون + +289 +00:35:25,750 --> 00:35:34,450 +اللي همين c4 يبقى c4 و zero و zero و c4 كل هذا + +290 +00:35:34,450 --> 00:35:40,890 +الكلام بدو يساوي قداش؟ بدو يساوي zero. تمام تمام. + +291 +00:35:57,300 --> 00:36:03,380 +عن طريق الوصول + +292 +00:36:03,380 --> 00:36:12,340 +إلى ال c1 مع السلامة زائد c4 اللي بعده zero c2 + +293 +00:36:12,340 --> 00:36:23,460 +اللي بعده 2c3 2c3 zero مع السلامة اللي بعده c1-c2 + +294 +00:36:23,460 --> 00:36:26,720 +2c3 + +295 +00:36:26,720 --> 00:36:35,180 +zero مع السلامة العنصر الرابع الأول راح 2c2 زائد c3 + +296 +00:36:35,180 --> 00:36:42,120 +زائد c4 كله بدو يساوي zero و zero و zero. شكل اللي + +297 +00:36:42,120 --> 00:36:47,820 +عندنا هنا نعمل مقارنة ما بين الطرفين. يبقى بناء + +298 +00:36:47,820 --> 00:36:57,540 +عليه c1 زائد c4 بدو يساوي zero اللي بعده c2 زائد 2 + +299 +00:36:57,540 --> 00:37:07,820 +c3 بدو يساوي zero اللي بعده c1 ناقص c2 زائد 2 c3 + +300 +00:37:07,820 --> 00:37:20,460 +بدو يساوي zero اللي بعده 2c2 زائد c3 زائد c4 كله + +301 +00:37:20,460 --> 00:37:27,600 +بدو يساوي مين؟ بدو يساوي zero. طيب بدنا نجرب الآن + +302 +00:37:27,600 --> 00:37:34,700 +نشوف شو بدنا نعمل في هذا ال system مشان نحل هذا ال + +303 +00:37:34,700 --> 00:37:41,520 +system له أربع معادلات في أربعة مجاهيل. طيب لو + +304 +00:37:41,520 --> 00:37:51,420 +ضربنا هذه في سالب بيطير هذه بيظل c1 و c2 طيب لو + +305 +00:37:51,420 --> 00:38:00,630 +ضربنا الأولى في سالب بتروح هذه و ... أو عن طريق + +306 +00:38:00,630 --> 00:38:05,130 +المصفوفات يا مان اتسيا المصفوفات أو إذا كانت بتيجي + +307 +00:38:05,130 --> 00:38:09,190 +عملية الضرب بكوني كويس يبقى هذه بدي أشوف بس بتيجي + +308 +00:38:09,190 --> 00:38:17,550 +ولا بتيجيش. يبقى هذه بقدر أقول هذه لو جمعناهم بيظل + +309 +00:38:17,550 --> 00:38:25,480 +c ثلاثة ما فيش غيرهم و هدول سالب طيب بتروح هدى طيب لو + +310 +00:38:25,480 --> 00:38:36,420 +هدى السالب بتروح مع سالب أنا c1 و c2 و c3 هدى طيب + +311 +00:38:36,420 --> 00:38:45,510 +هنا اثنين c2 و ها دي c4 يبقى واضح إنه غير نشتغل + +312 +00:38:45,510 --> 00:38:57,410 +شغلتين مع بعض و منهم نحاول اه تاني + +313 +00:38:57,410 --> 00:39:04,330 +تاني من أول جديد علي صوتك شوية صحيح + +314 +00:39:11,550 --> 00:39:13,830 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +315 +00:39:13,830 --> 00:39:14,690 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +316 +00:39:14,690 --> 00:39:18,270 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +317 +00:39:18,270 --> 00:39:19,890 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +318 +00:39:19,890 --> 00:39:20,410 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +319 +00:39:20,410 --> 00:39:20,850 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +320 +00:39:20,850 --> 00:39:21,570 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +321 +00:39:21,570 --> 00:39:23,510 +هذه اثنين و هذه اثنين و هذه اثنين و هذه اثنين و + +322 +00:39:23,510 --> 00:39:33,050 +هذه اثنين و هذه اثنين و هذه اثنين و + +323 +00:39:33,050 --> 00:39:41,580 +هذه اثنين و هذه اثنين و هذه و جيت جماعة و أشوف طب + +324 +00:39:41,580 --> 00:39:47,700 +هي c1 و c2 هدول بيجيبولي الأربعة هدول بيجيبولي + +325 +00:39:47,700 --> 00:39:54,680 +ثلاثة و بجيب واحد بدلالته الثاني وبالتالي هذا نفس + +326 +00:39:54,680 --> 00:39:59,520 +القصة على أي حال ما عندناش مشكلة يبقى لو جيت قلت ما + +327 +00:39:59,520 --> 00:40:05,870 +ياتي شوف يا بنات أنا بدي أقول هذه بالشكل التالي بدي + +328 +00:40:05,870 --> 00:40:12,330 +أترك الأولى زي ما هي c1 و c4 و لو إنه لو ضربناها + +329 +00:40:12,330 --> 00:40:18,070 +اه بدي أضربها في سالب يبقى بدي أقول هذه السالب c1 + +330 +00:40:18,070 --> 00:40:24,490 +و هنا السالب c4 بدو يساوي zero. الثانية لو خلتها زي + +331 +00:40:24,490 --> 00:40:33,250 +ما هي c2 زائد 2 c3 بدو يساوي zero. الثالثة لو ضربتها + +332 +00:40:33,250 --> 00:40:41,710 +في سالب يبقى الثالثة لو روحت قول سالب c1 و زائد c2 + +333 +00:40:41,710 --> 00:40:54,830 +و ناقص 2 c3 بدو يساوي 0 و هنا 2c2 زائد c3 زائد c4 بدو + +334 +00:40:54,830 --> 00:40:58,960 +يساوي 0 يبقى ضربت الأولى والثالثة في سالب و الباقي + +335 +00:40:58,960 --> 00:41:04,950 +خليته زي ما هو. أول شيء هادي هتروح مع هادي. تمام. اثنين + +336 +00:41:04,950 --> 00:41:11,630 +c ثلاثة بالسالب مع اثنين c ثلاثة بالموجب. تمام. بضل + +337 +00:41:11,630 --> 00:41:19,490 +عند مين c واحد و c اثنين و c ثلاثة. كذلك مش مشكلة + +338 +00:41:19,490 --> 00:41:25,470 +يبقى بصير عندي سالب اثنين c واحد سالب اثنين c واحد + +339 +00:41:25,470 --> 00:41:31,110 +زائد c اثنين والله زائد ثلاثة c اثنين + +340 +00:41:36,440 --> 00:41:46,500 +يبقى زائد 4c2 زائد 4c2 زائد c3 ما فيش غيرها يبقى + +341 +00:41:46,500 --> 00:41:53,720 +زائد c3 بدو يساوي مين؟ بدو يساوي zero. تمام تمام. + +342 +00:41:53,720 --> 00:42:03,360 +يبقى هذه اثنين و هذه أربعة طيب منها بقدر أشيل c3 + +343 +00:42:03,360 --> 00:42:12,760 +واختيارها بدل ال c1 و c2. إذا هذه c3 تساوي 2c1 ناقص + +344 +00:42:12,760 --> 00:42:18,760 +4c2. تمام هذا بدو يعطينا بدو آجي أعوض في المعادلة + +345 +00:42:18,760 --> 00:42:28,680 +هذه المعادلة هذه إيش بصير عندنا؟ بصير عندنا c1-c2 + +346 +00:42:28,680 --> 00:42:37,140 +زائد 2c3 اثنين في اثنين بأربعة c واحد ناقص ثمانية + +347 +00:42:37,140 --> 00:42:42,380 +c2 بدو يساوي قداش؟ بدو يساوي zero. أو إن شطّهم + +348 +00:42:42,380 --> 00:42:51,260 +فأقولوا أربعة واحد خمسة c واحد وهنا ناقص عشرة c2 + +349 +00:42:51,260 --> 00:42:59,000 +ناقص عشرة c2 سيكون zero. لو قسمت على واحد سيكون c1 + +350 +00:42:59,000 --> 00:43:11,850 +يساوي 2c2. c1 يساوي 2c2. تمام. هذا هو أول معلومة. تمام. + +351 +00:43:11,850 --> 00:43:21,710 +إذا لو جيت أنا هي c3 عرفت c1 بدلالة c2 وعرفنا c3 + +352 +00:43:21,710 --> 00:43:32,810 +بدلالة c1 و c2 بدنا نجيب c4 يبقى أيوة من اللي بتحكي + +353 +00:43:32,810 --> 00:43:35,850 +كيف؟ و سالب تسعة + +354 +00:43:38,670 --> 00:43:41,550 +خمسة c واحد ناقص عشرة c اثنين. + +355 +00:43:44,370 --> 00:43:50,170 +هي عندك ناقص ... هي أربعة c واحد وأربعة ... اه هدى + +356 +00:43:50,170 --> 00:43:56,420 +واحد وهدى تسعة صحيح. اه هدى تسعة معاك الحق. هذه + +357 +00:43:56,420 --> 00:44:04,960 +تسعة يبقى معنى هذا الكلام إن c1 بدو يساوي تسعة c2 + +358 +00:44:04,960 --> 00:44:12,160 +على خمسة. مظبوط. يبقى إيه جبنا c1 بدلالة الآخرين + +359 +00:44:12,160 --> 00:44:15,100 +بقدر أجيب c4 كذلك + +360 +00:44:18,620 --> 00:44:32,280 +c4 بدها تساوي سالب تسعة c2 على خمسة يبقى + +361 +00:44:32,280 --> 00:44:41,790 +أنا عندي c1 بدلالة c2 وعندي c4 بدلالة c2 وعندي c3 + +362 +00:44:41,790 --> 00:44:48,890 +بدلالة a. ممتاز ممتاز اتنى شوية الحين أنا عندي لو + +363 +00:44:48,890 --> 00:44:55,550 +جيت أخدت المعادلة المعادلة الرابعة عندي c4 بدلالة + +364 +00:44:55,550 --> 00:45:08,110 +c2 وعندي c3 بدلالة c1 و c2 وعندي c3 و c3 تساوي + +365 +00:45:15,060 --> 00:45:22,340 +تسعة c اثنين على خمسة + +366 +00:45:22,340 --> 00:45:30,210 +ناقص أربعة c اثنين هذا كله عبارة عن مين؟ عبارة عن + +367 +00:45:30,210 --> 00:45:39,450 +كله على خمسة بيظل ثمانية عشر c2 ناقص أربعة في خمسة + +368 +00:45:39,450 --> 00:45:48,410 +بـ عشرين c2 ويساوي ناقص اثنين c2 على خمسة. الآن بتعوض + +369 +00:45:48,410 --> 00: + +401 +00:49:46,940 --> 00:49:53,490 +عندنا إذا أنا ممكن أضرب الصف الأول في سالب واحد و + +402 +00:49:53,490 --> 00:49:59,290 +أضيفه لمن؟ لـ R ثلاثة يبقى باقي بقوله سالب R واحد + +403 +00:49:59,290 --> 00:50:07,410 +to R ثلاثة يبقى بدنا نحلّ إيه واحد؟ Zero Zero + +404 +00:50:07,410 --> 00:50:15,730 +واحد و هنا إيه زي ما هو؟ هذا Zero وهنا واحد اثنين + +405 +00:50:15,730 --> 00:50:23,490 +Zero وهنا ب هنا Zero وهنا سالب واحد زي ما هو وهنا + +406 +00:50:23,490 --> 00:50:28,570 +اثنين زي ما هو وهذا سالب واحد بديجيلك هنا سالب + +407 +00:50:28,570 --> 00:50:37,840 +واحد وهنا سالب A اللي هو C سالب AC سالب A هذا زي + +408 +00:50:37,840 --> 00:50:43,880 +ما هو اللي هو Zero اثنين واحد واحد و هنا دي وهي + +409 +00:50:43,880 --> 00:50:48,940 +قفلنا الآن بدنا نيجي لمين للرقم اللي عندنا يبقى + +410 +00:50:48,940 --> 00:50:53,540 +احنا هنا بدنا نيجي نقول هذا الكلام بده يعطينا + +411 +00:50:53,540 --> 00:51:03,440 +اثنين اثنين عارف اثنين اثنين عارف اثنين two are + +412 +00:51:03,440 --> 00:51:10,840 +ثلاثة لأ اري اثنين تقار ثلاثة دوري اري اثنين تقار + +413 +00:51:10,840 --> 00:51:18,340 +ثلاثة و اثنين اري اثنين تقار أربع يبقى هنحصل على + +414 +00:51:18,340 --> 00:51:28,260 +ما ياتي واحد زيرو زيرو واحد و هنا a هذا Zero واحد + +415 +00:51:28,260 --> 00:51:37,740 +اثنين Zero ب هنا Zero وهنا Zero وهنا أربعة وهنا + +416 +00:51:37,740 --> 00:51:48,160 +سالب واحد وهنا ب زائد س ناقص أيوهنا ضربنا في + +417 +00:51:48,160 --> 00:51:53,620 +اثنين سالب اثنين وضربنا السالب اثنين اللي بعد يا بنات + +418 +00:51:53,620 --> 00:52:01,520 +سالب اثنين R اثنين to R أربعة يبقى هذا Zero وهذا + +419 +00:52:01,520 --> 00:52:09,980 +Zero وهذه سالب سالب سيصبح سالب أربعة واحد يبقى + +420 +00:52:09,980 --> 00:52:17,540 +سالب ثلاثة وهذا zero بيظل واحد زي ما هو وهنا سالب + +421 +00:52:17,540 --> 00:52:25,220 +اثنين بيبقى دي سالب اثنين ب بالشكل اللي عندنا هنا + +422 +00:52:25,220 --> 00:52:33,140 +الآن وصلنا لهذا يبقى ما عليك إلا اتكملي وتثبتي ما + +423 +00:52:33,140 --> 00:52:40,500 +يأتي تثبتي عليك ما يأتي يطلع عندنا على الشكل التالي + +424 +00:52:40,500 --> 00:52:54,620 +و الله أعلم بده يطلع C1 يساوي 4A زائد 5B ناقص 3C + +425 +00:52:54,620 --> 00:53:10,130 +ناقص 4D و C2 بده يساوي اثنين A زائد ثلاثة B نقص + +426 +00:53:10,130 --> 00:53:21,370 +اثنين C نقص اثنين D و C3 بده يساوي نقص + +427 +00:53:21,370 --> 00:53:37,460 +A نقص B زائد C زائد D و C4 بده يساوي ناقص ثلاثة A و + +428 +00:53:37,460 --> 00:53:48,260 +ناقص خمسة B ناقص خمسة B و زائد ثلاثة C زائد 4D + +429 +00:53:53,550 --> 00:54:00,950 +يبقى بناءً عليه أصبح V1 و V2 و V3 و V4 are bases + +430 +00:54:00,950 --> 00:54:11,210 +يعني بتقوليلي في الآخر هنا V1 و V2 و V3 و V4 are + +431 +00:54:11,210 --> 00:54:14,270 +bases + +432 +00:54:14,270 --> 00:54:22,990 +for the vector space R4 + +433 +00:54:26,600 --> 00:54:30,460 +لِأيش؟ لأن كل element في الحالة الأخيرة لقينا linear + +434 +00:54:30,460 --> 00:54:34,900 +combination من الآخرين و أثبتنا أن ال vectors هدول + +435 +00:54:34,900 --> 00:54:37,160 +are linearly independent diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/r9WgIkSN3M4_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/r9WgIkSN3M4_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..d757f899b43ba38505437642d1c660e97a2c6f24 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/r9WgIkSN3M4_raw.srt @@ -0,0 +1,1740 @@ +1 +00:00:20,740 --> 00:00:25,060 +بسم الله الرحمن الرحيم نذكر باخر حاجة خدناها المرة + +2 +00:00:25,060 --> 00:00:28,800 +اللي فات في section تلاتة أربعة بدينا بالرونسكين + +3 +00:00:28,800 --> 00:00:33,680 +وعرفنا ان رونسكين هو عبارة عن محدد ثم انتقلنا إلى + +4 +00:00:33,680 --> 00:00:38,780 +نظرية نظرية دو شقين الشق الأول كان إذا كان عندي + +5 +00:00:38,780 --> 00:00:42,680 +مجموعة من ال vectors وكانوا linearly dependent + +6 +00:00:42,680 --> 00:00:48,580 +يبقى لازم الرونسكين يساوي zero عند كل X موجودة في + +7 +00:00:48,580 --> 00:00:53,670 +interval ماأخذنا العملية العكسية أنه لو كان ال + +8 +00:00:53,670 --> 00:00:58,710 +رونسكين لا يساوي 0 يبقى مجموعة هذه ال functions أو + +9 +00:00:58,710 --> 00:01:02,110 +مجموعة هذه ال vectors are linearly independent + +10 +00:01:02,110 --> 00:01:08,310 +وعطينا المرة اللي فاتت مثل على أنه ممكن يكون ال + +11 +00:01:08,310 --> 00:01:13,350 +رونسكين يساوي 0 لكن ال two functions are not + +12 +00:01:13,350 --> 00:01:18,440 +linearly dependentبالـ Linearly Independent لأنه + +13 +00:01:18,440 --> 00:01:24,120 +عكس النظرية ما هواش صحيح تمام يعطينا مثال كان G1 + +14 +00:01:24,120 --> 00:01:28,240 +of X تساوي X تربيع و G2 of X هو X في absolute + +15 +00:01:28,240 --> 00:01:33,920 +value ل X ننتقل إلى مثال جديد يقول يشوف ليها ال + +16 +00:01:33,920 --> 00:01:37,280 +functions هذه الواحد و X السالب واحد و X السالب + +17 +00:01:37,280 --> 00:01:42,270 +اتنين علما من X دائما و أبدا تأخذ قيمة موجبةهل + +18 +00:01:42,270 --> 00:01:46,410 +هدول linearly dependent ولا linearly independent + +19 +00:01:46,410 --> 00:01:51,490 +فبجيب اقولك كويس اذا انا بدي اخد رونسكين as a + +20 +00:01:51,490 --> 00:01:56,830 +function of X هي الدالة الاولى هي الدالة التانية + +21 +00:01:56,830 --> 00:02:02,980 +هي الدالة التالتةمشان أكمل هذا المحدد بدي أشتق مرة + +22 +00:02:02,980 --> 00:02:08,660 +ثانية يبقى المشتق هذي بـ0 هذي ناقص X أس ناقص 2 هذي + +23 +00:02:08,660 --> 00:02:16,620 +ناقص 2 X أس ناقص 3 نشتق كمان مرة يبقى Zero اتنين X + +24 +00:02:16,620 --> 00:02:24,280 +أس ناقص تلاتة هذي ستة X أس ناقص أربعةيبقى هيشتغلنا + +25 +00:02:24,280 --> 00:02:29,900 +الدوال مرتين تمام الآن بدى قداش أحسب قيمة هذا + +26 +00:02:29,900 --> 00:02:34,680 +الرونسكين يبقى هفك المحدد باستخدام عناصر العمود + +27 +00:02:34,680 --> 00:02:42,250 +الأول يبقى هذا الكلام بده يساوي واحد فيهحاصل ضرب + +28 +00:02:42,250 --> 00:02:49,250 +عناصر القطرة الرئيسى يبقى ناقص 6 x أس ناقص 6 ناقص + +29 +00:02:49,250 --> 00:02:58,130 +مع ناقص زائد 4 x أس ناقص 6 ناقص 0 زائد 0يبقى بناء + +30 +00:02:58,130 --> 00:03:04,890 +ان عليه أصبح ناتج يساوي ناقص اتنين X أس ناقص ستة + +31 +00:03:04,890 --> 00:03:11,230 +طبعا هذا الكلام كله لا يساوي زيرو ليش؟ since لأن + +32 +00:03:11,230 --> 00:03:16,360 +ال X greater than zeroإذا هذا المقدار لا يمكن أن + +33 +00:03:16,360 --> 00:03:22,120 +يساوي zero في أي يوم من الأيام ولا عند نقطة ولا + +34 +00:03:22,120 --> 00:03:26,660 +عند كل النغاط لأن x greater than zero بناء عليه + +35 +00:03:26,660 --> 00:03:32,940 +هذا الكلام يعني أن هذه ال functions تلاتة are + +36 +00:03:32,940 --> 00:03:37,340 +linearly dependent ولا linearly independent + +37 +00:03:38,180 --> 00:03:44,400 +Linearly Independent يبقى هنا since بما أن + +38 +00:03:44,400 --> 00:03:48,940 +Erroneous can as a function of x لا يساوي zero + +39 +00:03:48,940 --> 00:03:56,420 +يبقى the functions اللي هي واحد و x السلب واحد و x + +40 +00:03:56,420 --> 00:04:02,620 +السلب اتنين are linearly independent functions + +41 +00:04:02,620 --> 00:04:14,460 +يبقى هذه دوال مساقلة عن بعض تمامانأخد مثال يبقى + +42 +00:04:14,460 --> 00:04:26,520 +مثال كذلك show + +43 +00:04:26,520 --> 00:04:30,660 +that مبينين + +44 +00:04:30,660 --> 00:04:32,740 +the functions + +45 +00:04:35,130 --> 00:04:46,210 +اللي هما F1 of X يساوي E أُس R1 X و F2 of X يساوي + +46 +00:04:46,210 --> 00:04:55,930 +E R2 أُس X ونظل ماشيين لغاية ال FN of X بده يساوي + +47 +00:04:55,930 --> 00:05:02,110 +E أُس RN of X و الRI + +48 +00:05:22,910 --> 00:05:29,240 +سؤال مرة ثانيةالسؤال بيقول عن ان من ال functions + +49 +00:05:29,240 --> 00:05:35,640 +f1 وf2 وf3 هذه ال functions كل واحدة فيهم كتبناها + +50 +00:05:35,640 --> 00:05:39,580 +بدلالة ال exponential يبقى عندنا الدالة الأولى E + +51 +00:05:39,580 --> 00:05:44,780 +أس R1 X الدالة التانية E أس R2 X الدالة التالتة E + +52 +00:05:44,780 --> 00:05:51,780 +أس R3 X وهكذا لغاية ما نكمل باقي الدوال لغاية E أس + +53 +00:05:51,780 --> 00:05:57,090 +R N X الدوال هدول ما لهم؟هؤلاء اللي بدنا نشوفه أو + +54 +00:05:57,090 --> 00:06:01,470 +بدنا نثبت انهم linearly independent بشرط ر واحدة + +55 +00:06:01,470 --> 00:06:05,410 +متساوي ر اتنين ولا ر تلاتة ولا ر ولا واحدة فيهم + +56 +00:06:05,410 --> 00:06:11,570 +متساوي التانية راح قال ليش ان ر اي لا تساوي ر جي + +57 +00:06:11,570 --> 00:06:16,230 +يبقى الارات هدول الأساس ولا واحدة زي التانية لكل + +58 +00:06:16,230 --> 00:06:21,290 +اي لا تساوي جي بدأ اثبت ان هذه ال functions هي ر + +59 +00:06:21,290 --> 00:06:27,330 +linearlyاندي من ده طيب نبدأ ب .. لو بدنا ناخدها + +60 +00:06:27,330 --> 00:06:31,530 +كلها مرة واحدة صعبة جدا و الصبورة تاعتنا مش هتكفي + +61 +00:06:31,530 --> 00:06:37,690 +للكتابة لكن لو جينا نسترسل فبجي بقول هنا solution + +62 +00:06:37,690 --> 00:06:45,950 +لو أخدت ال N تساوي 2 مثلا يبقى كام function بيكون + +63 +00:06:45,950 --> 00:06:52,540 +عندى؟ كدهش؟كم فانكشف يكون عندي تنتين يبقى مافيش + +64 +00:06:52,540 --> 00:06:56,960 +غيرهم خلي بالكم معانا هنا بقول خلي بالكم معانا هنا + +65 +00:06:58,160 --> 00:07:03,920 +يبقى لما ماعنديش فانكشن تنتين ان يساوي اتنين يبقى + +66 +00:07:03,920 --> 00:07:10,820 +بتروح اخد ال runner skin of X يبقى هذا E أس R1 X E + +67 +00:07:10,820 --> 00:07:21,660 +أس R2 X بدي اشتق يبقى R1 E أس R1 X R2 E أس R2 X + +68 +00:07:21,660 --> 00:07:28,260 +ويساويمن خواص المحددات إذا في عندي عامل مشارك بطلع + +69 +00:07:28,260 --> 00:07:34,660 +برا يبقى من العمودي الأول إيش عندي عمدات E أس R1 X + +70 +00:07:34,660 --> 00:07:42,460 +من العمودي التاني E أس R2 X بظل المحدد عندي 11 R1 + +71 +00:07:42,460 --> 00:07:51,150 +R2 يبقى هذا لو فكته بدي يصير E أس R1 زائد R2هذا + +72 +00:07:51,150 --> 00:07:59,950 +كله في X و بدا فك هذا المحدد يبقى R2-R1 كله بالشكل + +73 +00:07:59,950 --> 00:08:04,470 +اللي عنا هذا السؤال هو هل ال X بننشل في أي يوم من + +74 +00:08:04,470 --> 00:08:06,950 +الأيام ممكن يأخذ القيمة الصفر؟ + +75 +00:08:09,510 --> 00:08:14,670 +الـ R2 نقص R1 هل يمكن أن يأخذ صفر؟ اعطاني الشرط + +76 +00:08:14,670 --> 00:08:19,650 +أساسي أن الـRI لا تسوى RJ لكل I لا تسوى J + +77 +00:08:25,030 --> 00:08:32,510 +اختصارا يا بنات ممكن اكتب هذه E أس R1 زائد R2 X في + +78 +00:08:32,510 --> 00:08:41,170 +D2 وهذا الكلام لا يساوي 0 من D2 ل R2 ناقص R1 يبقى + +79 +00:08:41,170 --> 00:08:47,070 +لو كانت ال N بتنين لا يمكن لهذا المقدار أن يساوي 0 + +80 +00:08:47,070 --> 00:08:55,510 +لو جيت أخد Fن تساوي تلاتة يبقى رونسكين of x يبقى + +81 +00:08:55,510 --> 00:09:04,930 +يساوي هذه E أس R1 X E أس R2 X E أس R3 X المشتقة + +82 +00:09:04,930 --> 00:09:15,220 +الأولى R1 E أس R1 X R2 E أس R2 X R3 E أس R3 Xاللي + +83 +00:09:15,220 --> 00:09:22,440 +هم بدنا نشتغل كمان مرة R1 تربيع E أس R1 X R2 تربيع + +84 +00:09:22,440 --> 00:09:28,620 +E أس R2 X R3 تربيع E أس R3 X + +85 +00:09:32,580 --> 00:09:36,020 +إذا انا ممكن اعمل زي اللي جابله بالضبط طلع عامله + +86 +00:09:36,020 --> 00:09:40,540 +مشتركة من العمود الأول والعمود الثاني والعمود + +87 +00:09:40,540 --> 00:09:47,380 +الثالث يبقى هذا الكلام بده يساوي E أس R 1 X E أس R + +88 +00:09:47,380 --> 00:09:56,380 +2 X E أس R 3 X يبقى عندنا المحدد واحد واحد واحدR1 + +89 +00:09:56,380 --> 00:10:04,580 +R2 R3 R1 تربيع R2 تربيع R3 تربيع بالشكل اللي عندنا + +90 +00:10:04,580 --> 00:10:13,060 +هذا او بمعنى اخر هذا الكلام بده يساوي EUS R1 زائد + +91 +00:10:13,060 --> 00:10:19,760 +R2 زائد R3 كله fixed و بده روح افك المحدد هذا مثلا + +92 +00:10:19,760 --> 00:10:26,160 +باستخدام عناصر العمود الأوليبقى لو فكته باستخدام + +93 +00:10:26,160 --> 00:10:30,640 +عناصر العمود الأول بداجي هذا اللي أقوله هذا الكلام + +94 +00:10:30,640 --> 00:10:36,460 +مضروب فيه واحد في المحدد الأصغر المناظر له اللي هو + +95 +00:10:36,460 --> 00:10:46,240 +R2 R3 تربيع ناقص R2 تربيع R3 يبقى هذا ال term + +96 +00:10:46,240 --> 00:10:52,850 +الأول حسب قاعدة الإشارات ناقص R1وهنا نشطب الصف + +97 +00:10:52,850 --> 00:11:00,210 +تبعه والعمود بيصير R تلاتة تربيع ناقص R اتنين + +98 +00:11:00,210 --> 00:11:06,210 +تربيع جينا هنا زائد R one تربيع او square اشتت + +99 +00:11:06,210 --> 00:11:11,610 +بيصفوا عموده بيصير R تلاتة ناقص R اتنين جفلنا + +100 +00:11:11,610 --> 00:11:20,350 +الجوزهذا الكلام بدي يساوي E أس R1 زائد R2 زائد R3 + +101 +00:11:20,350 --> 00:11:24,170 +كله في X هذا الكلام في + +102 +00:11:53,070 --> 00:11:57,440 +ممكن اخد من هذا عامل مشتركأنا ممكن أخد R ثلاثة + +103 +00:11:57,440 --> 00:12:03,060 +ناقص R اتنين عامل مشترك من كل ال three terms يبقى + +104 +00:12:03,060 --> 00:12:11,680 +هذا E أس R one زائد R two زائد R three كله في X في + +105 +00:12:11,680 --> 00:12:18,980 +R three ناقص R two مين بيضل عند هنا R two R three + +106 +00:12:19,660 --> 00:12:27,820 +وهنا بيظل ناقص R1 R3 ناقص + +107 +00:12:27,820 --> 00:12:35,460 +R1 R2 ناقص R1 في الجوس التاني يعني هداني فكته زائد + +108 +00:12:35,460 --> 00:12:43,140 +R1 تربيع مافيش غيرها بالشكل اللي عندنا هناطيب هذا + +109 +00:12:43,140 --> 00:12:51,100 +الكلام بده يساوي E أس R1 زائد R2 زائد R3 في X في + +110 +00:12:51,100 --> 00:12:58,780 +ال R3 ناقص R2 الشكل اللي عندنا هنا ناقص R2 لجوس + +111 +00:12:58,780 --> 00:13:04,020 +الأول شو رايكوا هدول ممكن اخد منهم ايه عشان R3 + +112 +00:13:04,020 --> 00:13:12,330 +عامل مشتركيبقى لو أخدنا R3 عامل مشترك R3 بيظل من + +113 +00:13:12,330 --> 00:13:22,010 +عندي؟ بيظل عندي R2 ناقص R1 وهنا لو أخدنا ناقص R1 + +114 +00:13:22,010 --> 00:13:26,890 +عامل مشترك بيظل R2 ناقص R1 + +115 +00:13:29,040 --> 00:13:37,440 +طيب هنا انا انا انا انا + +116 +00:13:37,440 --> 00:13:53,920 +انا + +117 +00:13:53,920 --> 00:13:56,600 +انا انا انا انا انا انا انا انا انا انا انا انا + +118 +00:13:56,600 --> 00:14:00,950 +انا انا انا انا اناهل يمكن لهذا المقدار أن يساوي + +119 +00:14:00,950 --> 00:14:05,430 +Zero في يوم من الأيام؟في الشمكانية ليش؟ لإن ال + +120 +00:14:05,430 --> 00:14:08,970 +exponential دائما و أبدا positive greater than + +121 +00:14:08,970 --> 00:14:15,910 +zero غير هيك ولا واحدة من R تسوى R التانية ر I لا + +122 +00:14:15,910 --> 00:14:22,570 +يسوى ر جي لكل ال I التي لا تسوى جي يبقى لا يمكن + +123 +00:14:22,570 --> 00:14:28,010 +لأي قوس من هذه الأقواس أن تسوى zero إذا بروح بقوله + +124 +00:14:28,010 --> 00:14:34,720 +هذا مالهلا يساوي 0 او ان شئتم فاقولوا هذا ايه؟ اصر + +125 +00:14:34,720 --> 00:14:43,440 +one زائد R2 زائد R3 كله في X في D تلاتة هذا كله + +126 +00:14:43,440 --> 00:14:49,770 +ماله؟لأ يساوي 0 إذا في الحالة الأولى كانت E أس R1 + +127 +00:14:49,770 --> 00:14:54,750 +X و E أس R2 X are linearly independent في الحالة + +128 +00:14:54,750 --> 00:14:59,670 +التانية أصبح E أس R1 E أس R2 E أس R3 برضه are + +129 +00:14:59,670 --> 00:15:06,290 +linearly independent طيب الآن بداجي أقول لو كان + +130 +00:15:06,290 --> 00:15:11,870 +عند إيهاللي هو ال N من ال functions يعني احنا بدنا + +131 +00:15:11,870 --> 00:15:16,150 +نعمم بدل ما نمشي اتنين و تلاتة و اربعة بدنا نروح + +132 +00:15:16,150 --> 00:15:22,070 +الى M يبقى بداجي اخد هنا also + +133 +00:15:23,870 --> 00:15:28,890 +لو أخدت رونسكين as a function of x اللي هو بده + +134 +00:15:28,890 --> 00:15:39,410 +يساوي E أص R1X E أص R2X وظلت مستمر لغاية E أص RNX + +135 +00:15:40,000 --> 00:15:50,480 +بالدجاج أشتق يبقى R1 E أس R1 X R2 E أس R2 X RN E + +136 +00:15:50,480 --> 00:16:01,650 +أس RN X نشتق كمان مرة يبقى R1 تربية E أس R1 XR2 + +137 +00:16:01,650 --> 00:16:11,070 +تربية E أُس R2 X ونظل ماشيين R N تربية E أُس R N X + +138 +00:16:11,070 --> 00:16:19,330 +لو ضلت مستمر يا بنات هوصل لوين لل R1 أُس N ناقص + +139 +00:16:19,330 --> 00:16:26,020 +واحد E أُس R1 Xيعني ما أقصدش للمشتاق قانونيا وإنما + +140 +00:16:26,020 --> 00:16:31,000 +أقل من المشتاق قانونيا بمقدار لإن الصف الأول مافيش + +141 +00:16:31,000 --> 00:16:36,920 +فيه اشتقاء طيب تمام التانية R2 to the power n + +142 +00:16:36,920 --> 00:16:45,760 +minus ال one E أس R to X نظل مستمرين لغاية RN أس N + +143 +00:16:45,760 --> 00:16:53,900 +ناقص واحد E أس RN X بالشكل اللي عندنا هذاطيب لو + +144 +00:16:53,900 --> 00:16:59,140 +جيتها ملت زي اللي قبل يبقى النتيجة حكت تالي بدي + +145 +00:16:59,140 --> 00:17:09,000 +يصير E أسرار 1 زائد R2 زائد R3 زائد RN كله في X في + +146 +00:17:09,000 --> 00:17:17,760 +مين يا بنات؟ في ال DN D2 D3 DN وهذا كله لا يساوي + +147 +00:17:17,760 --> 00:17:20,760 +zero where حيث + +148 +00:17:23,060 --> 00:17:30,820 +بنقلش نشوف مين هي DN هذه حيث ال DN هي عبارة عن + +149 +00:17:30,820 --> 00:17:43,210 +المحدد واحد واحد واحدهنا R1 R2 R3 RN هنا R1 تربيع + +150 +00:17:43,210 --> 00:17:52,090 +R2 تربيع R3 تربيع RN تربيع ونظل ماشيين لغاية R1 + +151 +00:17:52,090 --> 00:17:59,020 +أسئل ناقص واحدR2 أُس N ناقص واحد R3 أُس N ناقص + +152 +00:17:59,020 --> 00:18:06,540 +واحد RN أُس N ناقص واحد وهي المحدد وهذا ما له لا + +153 +00:18:06,540 --> 00:18:13,810 +يساوي زيرو كذلكما دام لا يساوي زيرو يبقى صح اللي + +154 +00:18:13,810 --> 00:18:21,270 +هي ال E أس R one X وال E أس R two X ونظل ماشي لغة + +155 +00:18:21,270 --> 00:18:28,570 +E أس R in X are linearly independent ليش؟ لأن + +156 +00:18:28,570 --> 00:18:35,050 +المحدد تبعهم كله لا يساوي زيروland هنا stop انتهى + +157 +00:18:35,050 --> 00:18:42,830 +هذا section وإلى يكون أرقام المسائل من exercises + +158 +00:18:42,830 --> 00:18:50,210 +تلاتة أربعة يبقى exercises تلاتة أربعة واحد اتنين + +159 +00:18:50,210 --> 00:19:01,670 +أربعة وهنا سبعة وهنا تمانية بدنا + +160 +00:19:01,670 --> 00:19:09,520 +نيجي الآنلأهم section موجود في هذا الشبتر أو من + +161 +00:19:09,520 --> 00:19:25,620 +أهم ال sections اللي موجودة في هذا الشبتر هذا + +162 +00:19:25,620 --> 00:19:32,390 +الموضوع الآن اللي هو section 3-5تلاتة خمسة اللي هو + +163 +00:19:32,390 --> 00:19:38,550 +dimensions dimensions + +164 +00:19:38,550 --> 00:19:45,870 +مفرضها dimension يعني ابعاد dimensions يعني ابعاد + +165 +00:19:45,870 --> 00:19:52,230 +نعطي + +166 +00:19:52,230 --> 00:19:59,030 +تعريفين وبعد هيك نبدأ في طرح الأمثلة definition + +167 +00:20:01,970 --> 00:20:17,250 +لت كابتل V Be A Vector Space Vector Space Then V + +168 +00:20:17,250 --> 00:20:25,530 +Is Said To Be A Finite Dimensional Vector + +169 +00:20:39,370 --> 00:20:50,150 +finite dimensional vector space F النقطة الأولى + +170 +00:20:50,150 --> 00:20:52,330 +there exists a set + +171 +00:21:04,520 --> 00:21:18,660 +of linearly independent elements of V نقطة ثانية + +172 +00:21:18,660 --> 00:21:25,440 +every set + +173 +00:21:25,440 --> 00:21:30,740 +of more than + +174 +00:21:32,250 --> 00:21:38,710 +in elements as + +175 +00:21:38,710 --> 00:21:46,170 +linearly dependent ولحظة + +176 +00:21:46,170 --> 00:21:57,730 +بسيطة جدا in the above definition in the above + +177 +00:21:57,730 --> 00:22:00,890 +definition we say that + +178 +00:22:04,250 --> 00:22:18,330 +we say that ال V has dimension has dimension in يا + +179 +00:22:18,330 --> 00:22:31,170 +إما بنقول or V is n dimensional V is n dimensional + +180 +00:22:33,490 --> 00:22:49,930 +and dimensional vector space ملاحظة + +181 +00:22:49,930 --> 00:22:54,890 +ال vector space + +182 +00:23:02,280 --> 00:23:14,060 +V بده يساوي Zero فقط is finite dimensional + +183 +00:23:14,060 --> 00:23:17,740 +is + +184 +00:23:17,740 --> 00:23:28,620 +finite dimensional vector space + +185 +00:23:30,930 --> 00:23:40,190 +vector space and has and + +186 +00:23:40,190 --> 00:23:46,690 +has dimension zero + +187 +00:23:46,690 --> 00:23:53,610 +definition the + +188 +00:23:53,610 --> 00:23:59,810 +vectors V1 + +189 +00:24:00,900 --> 00:24:19,860 +v2 و vk in a vector space in a vector space v are + +190 +00:24:19,860 --> 00:24:27,700 +set to form are + +191 +00:24:27,700 --> 00:24:35,670 +set to formA bases for + +192 +00:24:35,670 --> 00:24:47,290 +V F نمرة A نمرة + +193 +00:24:47,290 --> 00:24:55,790 +V واحد و V اتنين و V كاسبين + +194 +00:24:55,790 --> 00:24:58,050 +V + +195 +00:24:59,580 --> 00:25:11,300 +نمر بي V واحد و V اتنين و VK are linearly + +196 +00:25:11,300 --> 00:25:12,860 +independent + +197 +00:27:29,190 --> 00:27:35,270 +الان نبدأ بالتعريفين التعريفين الاثنين مركب عليهم + +198 +00:27:35,270 --> 00:27:41,190 +كل هذا ال section يعني بعد ذلك سناخد نظريات على ال + +199 +00:27:41,190 --> 00:27:45,150 +two definitions اللي عندنا لذلك ضروري نفهم كل + +200 +00:27:45,150 --> 00:27:50,410 +تعريف من هذين التعريفينالتعريف الأول بقول let V + +201 +00:27:50,410 --> 00:27:54,930 +بيه vector space then V is said to be a finite + +202 +00:27:54,930 --> 00:27:59,010 +dimensional vector space F إيش يعني finite + +203 +00:27:59,010 --> 00:28:04,150 +dimensional vector space؟ finite محدود و dimension + +204 +00:28:04,150 --> 00:28:09,060 +قعديبقى لما أقول finite dimensional vector space + +205 +00:28:09,060 --> 00:28:15,680 +يعني هذا ال vector space له أبعاد محدودة تمام إذا + +206 +00:28:15,680 --> 00:28:22,960 +تحقق شرطان ما هما هذان الشرطان الشرط الأولبقول if + +207 +00:28:22,960 --> 00:28:28,440 +there exists a set of n linearly independent of V + +208 +00:28:28,440 --> 00:28:33,860 +لقيت لي two vectors ثلاثة أربعة خمسة قد ما يكون + +209 +00:28:33,860 --> 00:28:38,900 +هدول المجموعة are linearly independent الشرط الأول + +210 +00:28:38,900 --> 00:28:44,820 +الشرط الثاني every set of more than n elements is + +211 +00:28:44,820 --> 00:28:51,840 +linearly dependent يبقى أنا لقيت عندين من الـ + +212 +00:28:51,840 --> 00:28:55,640 +linearly independent vectors لو حطيت عليهم كمان + +213 +00:28:55,640 --> 00:29:01,660 +واحد بصي العدد هم جديد ان زيد واحد اي ان زيد واحد + +214 +00:29:01,660 --> 00:29:07,680 +فما فوقه يعتبر linearly dependentممتاز جدا يبقى ال + +215 +00:29:07,680 --> 00:29:13,060 +vector اسمه CLV بقول عنه finite dimensional محدود + +216 +00:29:13,060 --> 00:29:18,800 +اذا جدرت الاجئين من ال linearly independent + +217 +00:29:18,800 --> 00:29:23,980 +elements اي عدد اخر سواء ان تبعتي هدول و ازيد + +218 +00:29:23,980 --> 00:29:28,560 +عليهم واحد او من غيرهم يجب ان يكونوا كلهم linearly + +219 +00:29:28,560 --> 00:29:33,320 +dependentإن حدث ذلك يبقى بقول هذا finite + +220 +00:29:33,320 --> 00:29:38,900 +dimensional vector space و ال dimension إله البعد + +221 +00:29:38,900 --> 00:29:43,100 +تبعه بدي يسوى جداش بدي يسوى M يبقى in the above + +222 +00:29:43,100 --> 00:29:46,320 +definition في التعريفة لو we say that بروح نقول + +223 +00:29:46,320 --> 00:29:52,020 +إنه في has dimension in أن البعد تبع هذا ال vector + +224 +00:29:52,020 --> 00:29:57,940 +space يسوى Nأو صياغة أخرى بقول ان ال V is N + +225 +00:29:57,940 --> 00:30:01,480 +dimensional vector space ان قلت ال dimension له + +226 +00:30:01,480 --> 00:30:06,920 +اللي عدد الأبعاد تبعه يساوي N أو قلت هو finite N + +227 +00:30:06,920 --> 00:30:10,140 +dimensional vector space الصياغة هذه أو الصياغة + +228 +00:30:10,140 --> 00:30:15,460 +هذه الاتنين are the same يبقاش متعبرة صح من ال two + +229 +00:30:15,460 --> 00:30:21,080 +definitions الاتنين هدولطب السؤال هو طب لو كان ال + +230 +00:30:21,080 --> 00:30:25,400 +vector space هو لتريفيا ال vector space شو لتريفيا + +231 +00:30:25,400 --> 00:30:28,200 +ال vector space؟ يعني ال vector space اللي لا + +232 +00:30:28,200 --> 00:30:34,240 +يحتوي إلا على عنصر واحد و عنصر صفرين يبقى هذا بقول + +233 +00:30:34,240 --> 00:30:38,920 +ال dimension له يساوي جداش؟ يساوي zero لأنه + +234 +00:30:38,920 --> 00:30:42,660 +ماعنديش غير main غير الواحد و هذا ماعش vectors + +235 +00:30:42,660 --> 00:30:50,340 +أخرى إذا هو مستقل و قائم بذاته يعني linearlyلو + +236 +00:30:50,340 --> 00:30:55,060 +وجدنا كلمة اخرى فيها اخرى مافيه اش لان هو zero + +237 +00:30:55,060 --> 00:30:59,420 +لحاله تمام يبقى كأنه هذا بيقولك لو فيه بدهم يكونوا + +238 +00:30:59,420 --> 00:31:03,960 +linearly dependent يبقى هذا محقق بالشرطين يبقى هذا + +239 +00:31:03,960 --> 00:31:09,740 +ال dimension له يساوي zero طيب كويس نجي للملاحظة + +240 +00:31:09,740 --> 00:31:14,270 +التانيةأو الـ Definition التانية بيقول إذا vectors + +241 +00:31:14,270 --> 00:31:20,470 +V1 و V2 لغاية V كإن Vector Space V are said to + +242 +00:31:20,470 --> 00:31:26,610 +form a basis for V باسيس يعني أساس يبقى هدول هم + +243 +00:31:26,610 --> 00:31:32,250 +الأساس بالنسبة ل V إذا تحقق شرطا الشرط الأول أن ال + +244 +00:31:32,250 --> 00:31:38,150 +V هدول Spain VSpan V يعني إيش؟ يعني بيولدولي جميع + +245 +00:31:38,150 --> 00:31:43,890 +أنصار ال vector space V بالاستثناء بالبلد هيك يعني + +246 +00:31:43,890 --> 00:31:49,530 +أي vector فيه V بديه يكون linear combination من ال + +247 +00:31:49,530 --> 00:31:54,410 +vectors من V1 لغاية VKيعني اي vector في ال vector + +248 +00:31:54,410 --> 00:31:59,850 +space V بقدر اكتبه على شكل linear combination من + +249 +00:31:59,850 --> 00:32:05,350 +V1 و V2 و V3 لغاية Vk لغاية Vk هذا الشرط الأول + +250 +00:32:05,350 --> 00:32:10,870 +الشرط التاني V1 و V2 و Vk are linearly independent + +251 +00:32:10,870 --> 00:32:15,950 +يبقى انا مشان اختبر ان هدول بنفع basis لل vector + +252 +00:32:15,950 --> 00:32:21,000 +space ولا لأ بدي امرين الأمر الأولأريد أن أثبت أن + +253 +00:32:21,000 --> 00:32:23,380 +هؤلاء الوكتورز مستقلين ومستقلين ومستقلين ومستقلين + +254 +00:32:23,380 --> 00:32:25,960 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +255 +00:32:25,960 --> 00:32:29,000 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +256 +00:32:29,000 --> 00:32:29,420 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +257 +00:32:29,420 --> 00:32:32,080 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +258 +00:32:32,080 --> 00:32:35,560 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين + +259 +00:32:35,560 --> 00:32:42,580 +ومستقلين ومستقلين ومستقلين ومستقلين ومستقلين وم + +260 +00:32:43,930 --> 00:32:47,090 +بروح للشرط التاني في الأول أفضل ليش لأنه انطلع + +261 +00:32:47,090 --> 00:32:51,410 +linearly dependent بروح للشرط التاني لكن لو اذا + +262 +00:32:51,410 --> 00:32:55,010 +عملت الشرط الأول بدأ أروح أختبر من الشرط الثاني + +263 +00:32:55,010 --> 00:33:00,840 +إجباري يبقى الأفضل أن أروح لمين للشرط الثانييبقى + +264 +00:33:00,840 --> 00:33:07,620 +يا بنات مشان يكون عندى basis لل victory space بدى + +265 +00:33:07,620 --> 00:33:12,800 +هذه المجموعة من ال victories اللى تبقى basis يتحقق + +266 +00:33:12,800 --> 00:33:16,580 +فيها شرطا الشرط لو تبقى كلهم linearly independent + +267 +00:33:17,810 --> 00:33:21,650 +أي vector في ال vector space بقدر أكتبه على صيغة + +268 +00:33:21,650 --> 00:33:25,250 +linear combination من هذه ال vector يعني هذه ال + +269 +00:33:25,250 --> 00:33:30,250 +vector is PNV بتولد لل vector V نعطي مثال تونعي + +270 +00:33:30,250 --> 00:33:34,490 +مثال بيقول ما ياتي بيقول show the vectors ومعطيني + +271 +00:33:34,490 --> 00:33:40,890 +أربعة vectors موجودة وينهؤلاء يثبت لي ان هؤلاء + +272 +00:33:40,890 --> 00:33:46,310 +بيشكلوا بيزز ل ميم ل ال vector space اللي عندنا + +273 +00:33:46,310 --> 00:33:51,090 +بقوله والله كويس طيب تعالى نشوف هل هؤلاء بيشكلوا + +274 +00:33:51,090 --> 00:33:54,650 +بيزز ولا يبقى بأول خطة بدي أثبت ان هم يعيشين + +275 +00:33:55,660 --> 00:34:00,300 +Linearly Independent لكي أثبتهم اللي قبل الماضي + +276 +00:34:00,300 --> 00:34:04,900 +أخدنا شغلات + +277 +00:34:04,900 --> 00:34:08,960 +كثيرة بداك عن طريق المحدد ماشي بداك تقول ال + +278 +00:34:08,960 --> 00:34:12,620 +constant في الأول والثالث والرابع يتساوي زيرو + +279 +00:34:12,620 --> 00:34:16,640 +والروح نفسي بتانية دي ال constant بزيرو ماشي بسيان + +280 +00:34:16,640 --> 00:34:24,360 +اللي بدك إياه بأي وسيلة تنشأيبقى بالداجي اشوف اللي + +281 +00:34:24,360 --> 00:34:27,560 +هو لو قلت constant في الأول و constant في التاني و + +282 +00:34:27,560 --> 00:34:30,840 +constant في التالت يبقى بالداجي اقول له assume + +283 +00:34:30,840 --> 00:34:41,800 +that there exists c1 و c2 و c3 و c4 in R such that + +284 +00:34:42,190 --> 00:34:53,090 +بحيث ان C1 V1 زاد C2 V2 زاد C3 V3 زاد C4 V4 بده + +285 +00:34:53,090 --> 00:34:55,170 +يساوي كده؟ بده يساوي Zero + +286 +00:34:59,430 --> 00:35:11,530 +هذا C1 Zero C1 Zero زائد Zero C2 سلب C2 اتنين C2 + +287 +00:35:11,530 --> 00:35:18,950 +زائدبدا يجي C3 يبقى Zero اتنين C تلاتة اتنين C + +288 +00:35:18,950 --> 00:35:25,750 +تلاتة C تلاتة ذات ال vector الرابع يبقاش بديكون + +289 +00:35:25,750 --> 00:35:34,450 +اللي همين C4 يبقى C4 و Zero و Zero و C4 كل هذا + +290 +00:35:34,450 --> 00:35:40,890 +الكلام بدي سوى قداش بدي سوى Zero تمام تمام + +291 +00:35:57,300 --> 00:36:03,380 +عن طريق الوصول + +292 +00:36:03,380 --> 00:36:12,340 +إلى الـ C1 مع السلامة زائد C4اللي بعده Zero C2 + +293 +00:36:12,340 --> 00:36:23,460 +اللي بعده 2C3 2C3 Zero مع السلامة اللي بعده C1-C2 + +294 +00:36:23,460 --> 00:36:26,720 +2C3 + +295 +00:36:26,720 --> 00:36:35,180 +Zero مع السلامة العنصر الرابع الأول راح 2C2زائد C3 + +296 +00:36:35,180 --> 00:36:42,120 +زائد C4 كله بده يساوي Zero و Zero و Zero شكل اللي + +297 +00:36:42,120 --> 00:36:47,820 +عندنا هنا نعمل مقارنة ما بين الطرفين يبقى بناء + +298 +00:36:47,820 --> 00:36:57,540 +عليه C1زائد C4 بده يساوي Zero اللي بعده C2 زائد 2 + +299 +00:36:57,540 --> 00:37:07,820 +C3 بده يساوي Zero اللي بعده C1 ناقص C2 زائد 2 C3 + +300 +00:37:07,820 --> 00:37:20,460 +بده يساوي Zero اللي بعده 2C2 زائد C3 زائد C4 كله + +301 +00:37:20,460 --> 00:37:27,600 +بده يساوي مين؟ بده يساوي Zeroطيب بدنا نجرب الان + +302 +00:37:27,600 --> 00:37:34,700 +نشوف شو بدنا نعمل في هذا ال system مشان نحل هذا ال + +303 +00:37:34,700 --> 00:37:41,520 +system له أربع معادلات في أربعة مجاهيل طيب لو + +304 +00:37:41,520 --> 00:37:51,420 +ضربنا هذا في سالب بيطير هذا بيظل C1 و C2 طيب لو + +305 +00:37:51,420 --> 00:38:00,630 +ضربنا الأولى في سالب بتروح هذهو .. او عن طريق + +306 +00:38:00,630 --> 00:38:05,130 +المصحفات يامان اتسيا المصحفات او اذا كانت بتيجي + +307 +00:38:05,130 --> 00:38:09,190 +عملية الدرب بكوني كويس يبقى هذه بدي اشوف بس بتيجي + +308 +00:38:09,190 --> 00:38:17,550 +و لا بتيجيش يبقى هذه بقدر اقول هذه لو جمعناهم بيظل + +309 +00:38:17,550 --> 00:38:25,480 +C تلاتة مافيش غيرهمو هدول سالب طب بتروح هدى طب لو + +310 +00:38:25,480 --> 00:38:36,420 +هدى السالب بتروح ا سالب انا C1 و C2 و C3 هدى طيب + +311 +00:38:36,420 --> 00:38:45,510 +هنا اتنين C2وها دي C4 يبقى واضح انه غير نشتغل + +312 +00:38:45,510 --> 00:38:57,410 +شغلتين مع بعض ومنهم نحاول اه تاني + +313 +00:38:57,410 --> 00:39:04,330 +تاني من أول جديد علي صوتك شوية صحيح + +314 +00:39:11,550 --> 00:39:13,830 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +315 +00:39:13,830 --> 00:39:14,690 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +316 +00:39:14,690 --> 00:39:18,270 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +317 +00:39:18,270 --> 00:39:19,890 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +318 +00:39:19,890 --> 00:39:20,410 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +319 +00:39:20,410 --> 00:39:20,850 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +320 +00:39:20,850 --> 00:39:21,570 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +321 +00:39:21,570 --> 00:39:23,510 +هذه اتنين و هذه اتنين و هذه اتنين و هذه اتنين و + +322 +00:39:23,510 --> 00:39:33,050 +هذه اتنين و هذه اتنين و هذه اتنين و + +323 +00:39:33,050 --> 00:39:41,580 +هذه اتنين و هذه اتنين و هذهو جيت جماعة و أشوف طب + +324 +00:39:41,580 --> 00:39:47,700 +هي C1 و C2 هذول بيجيبولي الأربعة هذول بيجيبولي + +325 +00:39:47,700 --> 00:39:54,680 +تلاتة و بجيب واحد بدلالته التاني وبالتالي هذا نفس + +326 +00:39:54,680 --> 00:39:59,520 +القصة على أي حال ماعناش مشكلة يبقى لو جيت قلت ما + +327 +00:39:59,520 --> 00:40:05,870 +ياتي شوف يا بناتأنا بدي أقول هذه بالشكل التالي بدي + +328 +00:40:05,870 --> 00:40:12,330 +أترك الأولى زي ما هي C1 و C4 و لو أنه لو ضربناها + +329 +00:40:12,330 --> 00:40:18,070 +أه بدي أضربها في سالب يبقى بدي أقول هذه السالب C1 + +330 +00:40:18,070 --> 00:40:24,490 +و هنا السالب C4 بده يساوي Zero التانية لو خلتها زي + +331 +00:40:24,490 --> 00:40:33,250 +ما هي C2 زائد 2 C3 بده يساوي Zeroالتالتة لو ضربتها + +332 +00:40:33,250 --> 00:40:41,710 +في سالب يبقى التالتة لو روحت قول سالب C1 وزائد C2 + +333 +00:40:41,710 --> 00:40:54,830 +ونقص 2 C3 بده يساوي 0 وهنا 2C2 زائد C3 زائد C4 بده + +334 +00:40:54,830 --> 00:40:58,960 +يساوي 0يبقى ضربت الأولى والتالتى في سالب والباقي + +335 +00:40:58,960 --> 00:41:04,950 +خليته زي ما هو اول شي هادى هتروح مع هادىتمام اتنين + +336 +00:41:04,950 --> 00:41:11,630 +C تلاتة بالسلب مع اتنين C تلاتة بالموجب تمام بضل + +337 +00:41:11,630 --> 00:41:19,490 +عند مين C واحد و C اتنين و C تلاتة كذلك مش مشكلة + +338 +00:41:19,490 --> 00:41:25,470 +يبقى بصير عندى سالب اتنين C واحد سالب اتنين C واحد + +339 +00:41:25,470 --> 00:41:31,110 +زائد C اتنين والله زائد تلاتة C اتنين + +340 +00:41:36,440 --> 00:41:46,500 +يبقى زائد 4C2 زائد 4C2 زائد C3 مافيش غيرها يبقى + +341 +00:41:46,500 --> 00:41:53,720 +زائد C3 بده يساوي مين؟ بده يساوي Zeroتمام تمام + +342 +00:41:53,720 --> 00:42:03,360 +يبقى هذه اتنين وهذه اربع طيب منها بقدر اشيل C3 + +343 +00:42:03,360 --> 00:42:12,760 +واختيارها بدل ال C1 وC2 اذا هذه C3 تسوى 2C1 ناقص + +344 +00:42:12,760 --> 00:42:18,760 +4C2 تمام هذا بده يعطينا بده اجي اعوض في المعادلة + +345 +00:42:18,760 --> 00:42:28,680 +هذهالمعادلة هذه ايش بيصير عندنا بيصير عندنا c1-c2 + +346 +00:42:28,680 --> 00:42:37,140 +زيدي 2c3 اتنين في اتنين باربعة c واحد ناقص تمانية + +347 +00:42:37,140 --> 00:42:42,380 +c2 بده يساوي كده؟ بده يساوي zero او ان شاتهم + +348 +00:42:42,380 --> 00:42:51,260 +فقولوا اربعة واحد خمسة c واحدوهنا ناقص عشرة C2 + +349 +00:42:51,260 --> 00:42:59,000 +ناقص عشرة C2 سيكون Zero لو قسمت على واحد سيكون C1 + +350 +00:42:59,000 --> 00:43:11,850 +يسوى 2C2 C1 يسوى 2C2 تمام هذا هو أول معلومةتمام + +351 +00:43:11,850 --> 00:43:21,710 +اذا لو جيت انا هي C3 عرفت C1 بدلالة C2 وعرفنا C3 + +352 +00:43:21,710 --> 00:43:32,810 +بدلالة C1 وC2 بدنا نجيب C4 يبقى ايوة من اللي بتحكي + +353 +00:43:32,810 --> 00:43:35,850 +كيف؟ و سلب 9 + +354 +00:43:38,670 --> 00:43:41,550 +خمسة C واحد ناقص عشرة C اتنين. + +355 +00:43:44,370 --> 00:43:50,170 +هى عندك ناقص .. هى اربعة C واحد واربع .. اه هدى + +356 +00:43:50,170 --> 00:43:56,420 +واحد وهدى تسعة صحيح. اه هدى تسعة معاك الحق.هذه + +357 +00:43:56,420 --> 00:44:04,960 +تسعة يبقى معنى هذا الكلام انه C1 بدي ساوي تسعة C2 + +358 +00:44:04,960 --> 00:44:12,160 +على خمسة مظبوط يبقى ايه جيبنا C1 بدلالة الاخرين + +359 +00:44:12,160 --> 00:44:15,100 +بقدر اجيب C4 كذلك + +360 +00:44:18,620 --> 00:44:32,280 +C4 بدها تساوي سالب تسعة C2 على خمسة يبقى + +361 +00:44:32,280 --> 00:44:41,790 +انا عندي C1 بدلالة C2 وعندي C4 بدلالة C2وعندي C3 + +362 +00:44:41,790 --> 00:44:48,890 +بدلالة A ممتاز ممتاز اتنى شوية الحين انا عندى لو + +363 +00:44:48,890 --> 00:44:55,550 +جيت اخدت المعادلة المعادلة الرابعة عندي C4 بدلالة + +364 +00:44:55,550 --> 00:45:08,110 +C2 وعندي C3 بدلالة C1 وC2 وعندي C3 وC3 تساوي + +365 +00:45:15,060 --> 00:45:22,340 +تسعة C اتنين على خمسة + +366 +00:45:22,340 --> 00:45:30,210 +ناقص اربعة C اتنينهذا كله عبارة عن مين؟ عبارة عن + +367 +00:45:30,210 --> 00:45:39,450 +كله على خمسة بيظل تمنتاشر C2 ناقص اربع في خمسة + +368 +00:45:39,450 --> 00:45:48,410 +بعشرين C2 ويساوي ناقص اتنين C2 على خمسة.الان بتعوض + +369 +00:45:48,410 --> 00:45:52,340 +يا بنات في المعادلة على الرابعةيبقى انا عندى اتنين + +370 +00:45:52,340 --> 00:45:59,460 +C اتنين زائد C تلاتة زائد C اربعة بده يساوي اتنين + +371 +00:45:59,460 --> 00:46:06,980 +C اتنين هاي اتنين C اتنين C تلاتة C تلاتة هاي اللي + +372 +00:46:06,980 --> 00:46:16,030 +طلعناها ناقص اتنين C اتنين على خمسةنقص اتنين C2 + +373 +00:46:16,030 --> 00:46:23,590 +على خمسة وزايد C4 و هنا ناقص تسعة C2 على خمسة كل + +374 +00:46:23,590 --> 00:46:28,290 +هذا بده يساوي Zero إذا لو حتى لها المقامات كلها + +375 +00:46:28,290 --> 00:46:35,310 +على خمسة بصير عشرة C2 ناقص اتنين C2 + +376 +00:46:38,130 --> 00:46:44,990 +-9C2==0 يبقى ناقص 11 وزاد عشرة يبقى ناقص C2 على + +377 +00:46:44,990 --> 00:46:52,550 +خمسة يساوي Zero هذا سيعطيك ان C2 يساوي Zero لما C2 + +378 +00:46:52,550 --> 00:46:59,550 +يساوي Zero يبقى C4 يساوي Zero يبقى C1 يساوي Zero + +379 +00:46:59,550 --> 00:47:06,280 +يبقى C3 يساوي Zero هذا معناهان ال functions ان + +380 +00:47:06,280 --> 00:47:14,040 +هدول مالهم are linearly independent يبقى هنا V1 و + +381 +00:47:14,040 --> 00:47:23,080 +V2 و V3 و V4 are linearly independent يبقى انت هنا + +382 +00:47:23,080 --> 00:47:28,180 +من ال condition الثاني هذابعد ذلك نذهب إلى ال + +383 +00:47:28,180 --> 00:47:34,240 +condition الأول لكي نثبت أن أي element في ال + +384 +00:47:34,240 --> 00:47:39,400 +vector space V بدي أحاول أن أكتبه بدلالة من؟ + +385 +00:47:39,400 --> 00:47:46,120 +بدلالة هذه ال vectors الأربعة يبقى هذه اللي حمّن + +386 +00:47:46,120 --> 00:47:51,620 +هنا اللي هي النقطة الأولى بداجة هنا النقطة الثانية + +387 +00:47:52,020 --> 00:47:58,980 +يبقى let اللي هو ال A والB والC والD هذا element + +388 +00:47:58,980 --> 00:48:11,620 +موجود في R بحيث ان C1V1 زي C2V2 زي C3V3 زي C4V4 + +389 +00:48:12,030 --> 00:48:15,010 +يبقى هذا ال element يساوي لنا ال combination من + +390 +00:48:15,010 --> 00:48:19,270 +هذا الوضع يبقى + +391 +00:48:19,270 --> 00:48:28,550 +بناء عليه يبقى C1 + +392 +00:48:29,330 --> 00:48:40,550 +زائد C4 بده يساوي A اللي بعده C2 زائد 2 C3 بده + +393 +00:48:40,550 --> 00:48:51,210 +يساوي B اللي بعده C1 ناقص C2 ناقص C2 زائد 2 C3 بده + +394 +00:48:51,210 --> 00:49:01,840 +يساوي C اللي بعده 2C2 زائد C3زائد C أربعة بده + +395 +00:49:01,840 --> 00:49:08,080 +يساوي قداش D هذا ال system اللي بدنا نحاول نحل هذا + +396 +00:49:08,080 --> 00:49:12,580 +ال system ان شاء الله و تعالى يبقى باجي بقول ال + +397 +00:49:12,580 --> 00:49:20,000 +system هذا بده أخدله اللي هو المصوفة الموسعة هذا + +398 +00:49:20,000 --> 00:49:27,240 +واحدZero Zero واحد و هنا Zero و هنا واحد و هنا + +399 +00:49:27,240 --> 00:49:36,020 +اتنين و هنا Zero و هنا واحد ناقص واحد اتنين Zero و + +400 +00:49:36,020 --> 00:49:46,940 +هنا Zero اتنين و هنا واحد و هنا واحد A B C D بشكل + +401 +00:49:46,940 --> 00:49:53,490 +عندناإذا أنا ممكن أضرب الصف الأول في سالب واحد و + +402 +00:49:53,490 --> 00:49:59,290 +أضيفه لمن؟ ل R ثلاثة يبقى باجي بقوله سالب R واحد + +403 +00:49:59,290 --> 00:50:07,410 +to R تلاتة يبقى بدنا أنحله ايه واحد؟ Zero Zero + +404 +00:50:07,410 --> 00:50:15,730 +واحد و هنا ايه زي ما هو؟هذا Zero وهنا واحد اتنين + +405 +00:50:15,730 --> 00:50:23,490 +Zero وهنا بي هنا Zero وهنا سالب واحد زي ما هو وهنا + +406 +00:50:23,490 --> 00:50:28,570 +اتنين زي ما هو وهذا سالب واحد بديجيلك هنا سالب + +407 +00:50:28,570 --> 00:50:37,840 +واحد وهنا سالب A اللي هو C سالب AC سالب A هذا زي + +408 +00:50:37,840 --> 00:50:43,880 +ما هو اللي هو Zero اتنين واحد واحد و هنا دي وهي + +409 +00:50:43,880 --> 00:50:48,940 +قفلنا الان بدنا نيجي لمين للرقم اللي عندنا يبقى + +410 +00:50:48,940 --> 00:50:53,540 +احنا هنا بدنا نيجي نقول هذا الكلام بده يعطينا + +411 +00:50:53,540 --> 00:51:03,440 +اتنين اتنين عارف اتنين اتنين عارف اتنين two are + +412 +00:51:03,440 --> 00:51:10,840 +تلاتةلأ اري اتنين تقار تلاتة دوري اري اتنين تقار + +413 +00:51:10,840 --> 00:51:18,340 +تلاتة و اتنين اري اتنين تقار اربع يبقى هنحصل على + +414 +00:51:18,340 --> 00:51:28,260 +ما ياتي واحد زيرو زيرو واحد و هنا aهذا Zero واحد + +415 +00:51:28,260 --> 00:51:37,740 +اتنين Zero بي هنا Zero وهنا Zero وهنا أربعة وهنا + +416 +00:51:37,740 --> 00:51:48,160 +سالب واحد وهنا بي زائد سي ناقص ايوهنا ضربنا في + +417 +00:51:48,160 --> 00:51:53,620 +اتنين سالب اتنين وضق السالب اتنين اللي بعد يا بنات + +418 +00:51:53,620 --> 00:52:01,520 +سالب اتنين R اتنين to R اربعة يبقى هذا Zero وهذا + +419 +00:52:01,520 --> 00:52:09,980 +Zero وهذه سالب سالب سيصبح سالب اربعة واحد يبقى + +420 +00:52:09,980 --> 00:52:17,540 +سالب تلاتةوهذا zero بيظل واحد زي ما هو وهنا سالب + +421 +00:52:17,540 --> 00:52:25,220 +اتنين بيبقى دي سالب اتنين بي بالشكل اللي عندنا هنا + +422 +00:52:25,220 --> 00:52:33,140 +الان وصلنا لهذا يبقى ما عليك إلا اتكملي وتثبتي ما + +423 +00:52:33,140 --> 00:52:40,500 +يأتي تثبتي عليك ما يأتيبطلع عندنا على الشكل التالي + +424 +00:52:40,500 --> 00:52:54,620 +و الله أعلم بده يطلع C1 يساوي 4A زائد 5B ناقص 3C + +425 +00:52:54,620 --> 00:53:10,130 +ناقص 4DوC2 بده يساوي اتنين A زائد تلاتة B نقص + +426 +00:53:10,130 --> 00:53:21,370 +اتنين C نقص اتنين D وC3 بده يساوي نقص + +427 +00:53:21,370 --> 00:53:37,460 +Aنقص B زائد C زائد D و C4 بده يساوي ناقص تلاتة A و + +428 +00:53:37,460 --> 00:53:48,260 +ناقص خمسة B ناقص خمسة B و زائد تلاتة C زائد 4D + +429 +00:53:53,550 --> 00:54:00,950 +يبقى بناء ان عليه أصبح V1 و V2 و V3 و V4 are bases + +430 +00:54:00,950 --> 00:54:11,210 +يعني بتقوليلي في الآخر هنا V1 و V2 و V3 و V4 are + +431 +00:54:11,210 --> 00:54:14,270 +bases + +432 +00:54:14,270 --> 00:54:22,990 +for the vector space R4 + +433 +00:54:26,600 --> 00:54:30,460 +لأيش؟ لأن كل element في الحالة الأخيرة لقنا linear + +434 +00:54:30,460 --> 00:54:34,900 +combination من الأخرين و أثبتنا أن ال vectors هدور + +435 +00:54:34,900 --> 00:54:37,160 +are linearly independent + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/v0cHtZxEtkI_raw.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/v0cHtZxEtkI_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..b219352a0ebb482301c513937ec4d944b3010271 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/v0cHtZxEtkI_raw.srt @@ -0,0 +1,1520 @@ +1 +00:00:19,490 --> 00:00:23,750 +بسم الله الرحمن الرحيم المرة اللى فاتت بدأنا في + +2 +00:00:23,750 --> 00:00:28,150 +موضوع ال vector spaces الفضاءات الاتجاهية اعطينا + +3 +00:00:28,150 --> 00:00:32,090 +تعريف و اذا لو عندى 6 V وحطينا عليها عملية جمع + +4 +00:00:32,090 --> 00:00:37,970 +وعملية ضرب نعرفها بأى طريقة انشئنا فهذا بيكون ل V + +5 +00:00:37,970 --> 00:00:43,490 +مع الضرب مع الجمع vector space اذا تحققت عشر خواص + +6 +00:00:43,490 --> 00:00:48,580 +وذكرنا هذه الخواص واخدنا على ذلك بدل المثال 4وهنا + +7 +00:00:48,580 --> 00:00:56,100 +نكمل الأمثلة على نفس الموضوع يفترض أن V هو عبارة + +8 +00:00:56,100 --> 00:01:00,880 +عن set of all ordered pairs X1 و X2 بعد X1 و X2 + +9 +00:01:00,880 --> 00:01:05,240 +موجودة في R نعرف عملية الجمع و عملية الضرب على V + +10 +00:01:05,240 --> 00:01:10,110 +بالتاليلو جمعت two elements يبقى المُركّبة الأولى + +11 +00:01:10,110 --> 00:01:14,430 +زائد المُركّبة الأولى والمُركّبة الثانية ناقص + +12 +00:01:14,430 --> 00:01:18,390 +المُركّبة الثانية يعني عرفت عملية الجمع بهذه + +13 +00:01:18,390 --> 00:01:24,090 +الطريقة وعملية الضرب component-wise عادي جدا مافي + +14 +00:01:24,090 --> 00:01:31,230 +مشكلة بسأل هل ال V هذا vector space ولا لأ بقوله + +15 +00:01:31,230 --> 00:01:37,050 +كويس من ضمنمن ضمن البنود تبعات المرة اللى فاتت و + +16 +00:01:37,050 --> 00:01:42,330 +اعتقد كان البندى الثانى انه عندك U زائد V بيكون V + +17 +00:01:42,330 --> 00:01:47,590 +زائد U يعني عملية الجامع عملية إبدالية بنشوف هل + +18 +00:01:47,590 --> 00:01:52,150 +عملية الجامع اللى عرفلي بهذه الطريقة عملية إبدالية + +19 +00:01:52,150 --> 00:01:58,520 +ولا لأ فلو جهة goals له هنا solutionيبقى انا بدي + +20 +00:01:58,520 --> 00:02:04,300 +اخد ال U زائد ال V واشوف ايش بتعطينا يبقى ال U + +21 +00:02:04,300 --> 00:02:15,240 +زائد ال V تساوي الان يعني X1 و X2 زائد Y1 و Y2 + +22 +00:02:15,240 --> 00:02:24,410 +يساويحسب التعريف الى x1 زائد y1 و x2 ناقص y2 لو + +23 +00:02:24,410 --> 00:02:36,670 +جيت القلة ال V زائد ال U يبقى y1 و y2 زائد x1 و x2 + +24 +00:02:36,670 --> 00:02:46,700 +و يساوت y1 زائد x1 و y2 ناقص x2ما هو رأيك في + +25 +00:02:46,700 --> 00:02:53,540 +عملتين هذين؟ هل النتيجة هي نفس النتيجة؟لأ ال term + +26 +00:02:53,540 --> 00:02:57,360 +الأول صحيح هو ال term الأول بس ال term التاني هذا + +27 +00:02:57,360 --> 00:03:02,680 +ماهواش ال term هذا هذا نفسه بس بإشارة إيه مخالفة + +28 +00:03:02,680 --> 00:03:11,820 +يبقى هدول بسووش بعض يبقى هنا ال V is not a vector + +29 +00:03:11,820 --> 00:03:14,620 +space because + +30 +00:03:16,680 --> 00:03:23,920 +إن الـ U زائد الـ V لا يساوي الـ V زائد الـ U يبقى + +31 +00:03:23,920 --> 00:03:28,800 +سقطت إحدى الخواص وبالتالي هذا ليس vector space + +32 +00:03:28,800 --> 00:03:30,420 +example 6 + +33 +00:03:36,230 --> 00:03:43,450 +بقول let V تساوي let V تساوي the set of all + +34 +00:03:43,450 --> 00:03:50,650 +elements X وY وZ بحيث + +35 +00:03:50,650 --> 00:03:58,830 +ان X وY وZ كلهم أعداد حقيقية موجودة في R define + +36 +00:03:58,830 --> 00:04:01,690 +addition + +37 +00:04:04,550 --> 00:04:15,110 +and multiplication on + +38 +00:04:15,110 --> 00:04:24,410 +V by X + +39 +00:04:24,410 --> 00:04:31,070 +واحد و Y واحد و Z واحد زائد + +40 +00:04:54,750 --> 00:04:56,150 +Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2 + +41 +00:04:57,890 --> 00:05:07,570 +الـ a ال x و ال y و ال z بده يساوي x و 1 و z + +42 +00:05:07,570 --> 00:05:19,470 +السؤال هو is V a vector space هل هذا عبارة عن V a + +43 +00:05:19,470 --> 00:05:21,370 +vector space أم لا؟ + +44 +00:05:29,690 --> 00:05:31,950 +هل هذا vector of space هو الله موهاش vector of + +45 +00:05:31,950 --> 00:05:39,590 +space بنقول الله أعلم نيجي لل solution لو + +46 +00:05:39,590 --> 00:05:47,270 +جيت على بعض الخواص مثلا و جيت قلت خديلي a في u + +47 +00:05:47,270 --> 00:05:55,730 +زائد vبنشوف ايش بتعطينا يعني هذا الكلام a v u زائد + +48 +00:05:55,730 --> 00:06:02,730 +ال v اللي هو x واحد و y واحد و z واحد زائد اللي هو + +49 +00:06:02,730 --> 00:06:11,280 +x اتنين و y اتنين و z اتنين هذا كله كلام يساوييبقى + +50 +00:06:11,280 --> 00:06:24,660 +يساوي إيه في نيجي X1 زائد X2 Y1 زائد Y2 Z1 زائد Z2 + +51 +00:06:24,660 --> 00:06:31,230 +يساوييبقى صار عندى scalar a فى element موجود فى ال + +52 +00:06:31,230 --> 00:06:35,730 +vector space حسب الضرب اللى عندها بقول لو تضرب a + +53 +00:06:35,730 --> 00:06:39,490 +فى ال element بضل ال element زى ما هم عدا اللى فى + +54 +00:06:39,490 --> 00:06:44,870 +النص مصير جداش واحد صحيح يبقى هذا الكلام بدى يساوي + +55 +00:06:44,870 --> 00:06:52,880 +x واحد زي x اتنين و واحد و y واحد زي y اتنينطب لو + +56 +00:06:52,880 --> 00:06:59,340 +جيت أخدت ال A في ال U زائد ال A في ال V يبقى ال A + +57 +00:06:59,340 --> 00:07:07,520 +X واحد و Y واحد و Z واحد زائد A في X اتنين و Y + +58 +00:07:07,520 --> 00:07:14,270 +اتنين و Z اتنين و Y ساويحسب تعريف الضرب يبقى هذا + +59 +00:07:14,270 --> 00:07:22,270 +شو بدي يعطينا X واحد وواحد صحيح وزد واحد زائد برضه + +60 +00:07:22,270 --> 00:07:30,350 +هذا X اتنين واحد وزد اتنين الآن حسب تعريف الجامعة + +61 +00:07:30,350 --> 00:07:35,710 +يبقى الجامعة component wise يبقى X واحد زائد X + +62 +00:07:35,710 --> 00:07:43,850 +اتنين واحد زائد واحد يسوى كده اتنينوزد واحد زائد + +63 +00:07:43,850 --> 00:07:48,770 +زد اتنين ايش رأيكوا في هذه النتيجة هذه موجودة في + +64 +00:07:48,770 --> 00:07:55,130 +V؟ لأ يبقى هذه does not belong to V السبب ان هذا + +65 +00:07:55,130 --> 00:08:00,550 +اتنين وليس واحد صحيح معناته ال V هذا ماله is not a + +66 +00:08:00,550 --> 00:08:10,790 +vector space يبقى هنا V is not a vector space + +67 +00:08:15,820 --> 00:08:20,400 +Need some properties + +68 +00:08:20,400 --> 00:08:25,280 +of + +69 +00:08:25,280 --> 00:08:35,380 +a vector space Let + +70 +00:08:35,380 --> 00:08:45,120 +V be a vector space + +71 +00:08:46,570 --> 00:08:56,590 +and ال U موجودة في V and + +72 +00:08:56,590 --> 00:09:05,550 +let ال + +73 +00:09:05,550 --> 00:09:13,290 +U موجودة في V and ال A موجودة في R + +74 +00:09:17,060 --> 00:09:26,940 +النقطة الأولى Zero في you يساوي ال zero النقطة + +75 +00:09:26,940 --> 00:09:35,840 +الثانية ال a في ال zero بده يساوي ال zero النقطة + +76 +00:09:35,840 --> 00:09:43,520 +التالتة سالب واحد في ال you يساوي سالب you + +77 +00:09:43,520 --> 00:09:46,040 +exercises + +78 +00:09:47,820 --> 00:09:57,220 +تلاتة واحد المسائل اتنين خمسة ستة تمانية تسعة عشرة + +79 +00:09:57,220 --> 00:10:03,940 +تلتاش خمستاش سبعتاش تمانتاش + +80 +00:10:47,910 --> 00:10:52,310 +نرجع للخواص اللي قدامنا هذه يبقى عندنا some + +81 +00:10:52,310 --> 00:10:56,170 +properties of a vector space يبقى بعض الخواص + +82 +00:10:56,170 --> 00:10:59,830 +المتعلقة بال vector space فبجي بقول لو كان ال V هو + +83 +00:10:59,830 --> 00:11:06,410 +vector space وخت vector U موجود في V and A scalar + +84 +00:11:06,410 --> 00:11:11,310 +موجود في R thenالـ zero scalar في ال U ك vector + +85 +00:11:25,560 --> 00:11:29,800 +بعد ذلك لو ضربت ال scalar a في ال zero vector برضه + +86 +00:11:29,800 --> 00:11:34,580 +بدي يعطيني main ال zero vector سالب واحد لو ضربته + +87 +00:11:34,580 --> 00:11:39,660 +في u بدي يعطيني main ال u تماما طيب ما هو السبب + +88 +00:11:39,660 --> 00:11:43,360 +لإن احنا قولنا الخاصية العاشرة واحد في u بدي + +89 +00:11:43,360 --> 00:11:47,940 +يعطيني ال u تمامومن ضمن التعريف في البداية قلنا لو + +90 +00:11:47,940 --> 00:11:53,840 +أخدت a scalar من R وضربته في عنصر من V فال A في ال + +91 +00:11:53,840 --> 00:11:58,880 +U بيكون موجود في V ومن هنا سالب واحد في U بيكون + +92 +00:11:58,880 --> 00:12:04,760 +سالب U وهو موجود أيضا في ال V طب ننتقل الآن إلى + +93 +00:12:04,760 --> 00:12:10,360 +الموضوع الثاني وهو موضوع ال subspacesيبقى بدنا + +94 +00:12:10,360 --> 00:12:16,660 +نيجي ل section تلاتة اتنين اللي هو subspaces + +95 +00:12:16,660 --> 00:12:24,020 +الفضاءات الجزئية نعطي تأريف لل subspace و بعد هيك + +96 +00:12:24,020 --> 00:12:32,600 +بنروح ناخد أمثلة عليه يبقى definition a + +97 +00:12:32,600 --> 00:12:37,640 +subspace a subspace + +98 +00:12:37,640 --> 00:12:55,910 +uof a vector space V is called a subspace is a + +99 +00:12:55,910 --> 00:13:05,850 +subset وليس subset a subset U of a vector space V + +100 +00:13:05,850 --> 00:13:07,790 +is called + +101 +00:13:10,410 --> 00:13:18,730 +A subspace of + +102 +00:13:18,730 --> 00:13:23,450 +VFLU + +103 +00:13:23,450 --> 00:13:32,130 +is itself + +104 +00:13:32,130 --> 00:13:34,750 +a vector space + +105 +00:13:41,100 --> 00:13:47,680 +vector space under the + +106 +00:13:47,680 --> 00:13:57,320 +same operations of + +107 +00:13:57,320 --> 00:14:08,460 +اللي هو V firearm let + +108 +00:14:08,460 --> 00:14:22,680 +ال Vbe a vector space be a vector space and let + +109 +00:14:22,680 --> 00:14:31,640 +اليوم be a subset + +110 +00:14:31,640 --> 00:14:40,180 +of V then اليوم + +111 +00:14:41,970 --> 00:14:53,650 +is a subspace of the if and only if النقطة الأولى + +112 +00:14:53,650 --> 00:15:06,850 +الـU is non-empty النقطة الثانية if الـC موجود في + +113 +00:15:06,850 --> 00:15:08,930 +R and + +114 +00:15:11,520 --> 00:15:21,440 +الـV موجود في اليوم then الـC في الـV موجود في + +115 +00:15:21,440 --> 00:15:32,160 +اليوم النقطة التالتة if V1 وV2 موجودات في اليوم + +116 +00:15:32,160 --> 00:15:38,980 +then V1 زائد V2 موجودات في اليوم + +117 +00:15:42,380 --> 00:15:47,240 +example one let + +118 +00:15:47,240 --> 00:15:57,920 +ال V بدأ تساوي R تكيب اللي هي set of قلم X واحد و + +119 +00:15:57,920 --> 00:16:05,760 +X اتنين و X تلاتة such that X واحد و X اتنين و X + +120 +00:16:05,760 --> 00:16:10,640 +تلاتة موجودة في set of real number بي + +121 +00:16:14,270 --> 00:16:23,050 +Vector Vector Space Under + +122 +00:16:23,050 --> 00:16:26,950 +The + +123 +00:16:26,950 --> 00:16:32,670 +Usual Addition + +124 +00:16:32,670 --> 00:16:36,850 +And Multiplication + +125 +00:16:42,120 --> 00:16:49,680 +and multiplication let ال + +126 +00:16:49,680 --> 00:16:56,320 +U بدسة with a set of all element X و Zero و Zero + +127 +00:16:56,320 --> 00:17:09,760 +بحيث ال X موجودة في R السؤال هو is U a subspace + +128 +00:17:12,290 --> 00:17:14,910 +of a أم لأ + +129 +00:17:49,720 --> 00:17:50,820 +مش كفاية + +130 +00:18:18,210 --> 00:18:21,950 +بنروح الكلام اللي احنا كتبينه هذا يبقى احنا في ال + +131 +00:18:21,950 --> 00:18:25,770 +section الماضي بجينا نتحدث عن ال vector space اللي + +132 +00:18:25,770 --> 00:18:29,210 +هم بيروحوا ياخدوا مجموعة جزئية من هذا ال vector + +133 +00:18:29,210 --> 00:18:34,250 +space هذه المجموعة قد تكون vector space و قد لا + +134 +00:18:34,250 --> 00:18:39,310 +تكون vector space بيجينا نشوف ما هو الشرط ان + +135 +00:18:39,310 --> 00:18:43,630 +المجموعة هذه لو اخدتها تبقى vector space فمثلالو + +136 +00:18:43,630 --> 00:18:46,350 +قلت كل البنات اللي موجودة في القاع هدول vector + +137 +00:18:46,350 --> 00:18:51,710 +space بتاخد المجموعة هذه هل المجموعة هذه في حد + +138 +00:18:51,710 --> 00:18:55,350 +ذاتها بتكون vector space ولا .. طبعا هذه مجموعة + +139 +00:18:55,350 --> 00:18:59,630 +جزئية من مين؟ من المجموعة الكبيرة فهل هذه المجموعة + +140 +00:18:59,630 --> 00:19:04,300 +الجزئية بتكون subspace ام لا هذا السؤالالتعريف + +141 +00:19:04,300 --> 00:19:08,520 +بيقول الـ subset U of a vector space V يبقى احنا + +142 +00:19:08,520 --> 00:19:12,280 +أخدنا مجموعة جزئية من ال vector space V هذه is + +143 +00:19:12,280 --> 00:19:18,600 +called a subspace بسميها فضاء اتجاهي جزئي of V إذا + +144 +00:19:18,600 --> 00:19:23,100 +كان الـ U نفسها عبارة عن vector space under the + +145 +00:19:23,100 --> 00:19:28,060 +same operations of V يبقى بنات القاعة كلها vector + +146 +00:19:28,060 --> 00:19:32,120 +space عليها عملية جمع عليها عملية ضرب أخدت مجموعة + +147 +00:19:32,120 --> 00:19:36,280 +منهمإذا و الله هذه المجموعة اللي خدتها لقيتها + +148 +00:19:36,280 --> 00:19:40,840 +vector space جديد تحت نفسه العمليتين بتاعة ال + +149 +00:19:40,840 --> 00:19:45,740 +vector space الأصلي يبقى بقول هذه subspace طب + +150 +00:19:45,740 --> 00:19:50,360 +هتقولي واحدة طب و احنا كل مرة بدنا نيجي نطبق العشر + +151 +00:19:50,360 --> 00:19:54,500 +خواص على هذه المجموعة الجزية هذه قصة طويلةفرح + +152 +00:19:54,500 --> 00:19:58,700 +العلماء جلسوا مع بعض ودرسوا الموضوع واستطاعوا انهم + +153 +00:19:58,700 --> 00:20:04,760 +يختصروا هذه العشرة بنود في ثلاثة بنود فقط لا غير + +154 +00:20:04,760 --> 00:20:09,800 +ما هي البنود التلاتة انحطت بصيغة النظرية التالية + +155 +00:20:09,930 --> 00:20:14,650 +لتل V بـ vector space و U عبارة عن subset من V + +156 +00:20:14,650 --> 00:20:19,090 +يبقى الـ U بقول أنها subspace if and only if يعني + +157 +00:20:19,090 --> 00:20:23,650 +لو تحققت الشروط التلاتة بيكون الـ U subspace ولا + +158 +00:20:23,650 --> 00:20:29,030 +عكس لو كان U subspace يجب أن تتحقق من الشروط + +159 +00:20:29,030 --> 00:20:32,890 +التلاتةيبقى لو أعطاني اجمعية جزئية من vector space + +160 +00:20:32,890 --> 00:20:37,410 +وقال لي شوف هل في subspace ولا لأ بقوله بدي أشوف + +161 +00:20:37,410 --> 00:20:41,870 +هل ال set هذه non-empty ولا لأ على الأقل بدي أثبت + +162 +00:20:41,870 --> 00:20:47,230 +أن فيها ولو عنصر واحد فقطتمام يعني أساس ما تبقاش + +163 +00:20:47,230 --> 00:20:50,850 +non-empty فيها و لو عنصر واحد ان شاء الله يكون + +164 +00:20:50,850 --> 00:20:57,190 +العنصر الصفرين اتنين لو أخدت أي element من R يعني + +165 +00:20:57,190 --> 00:21:01,930 +أي real number أو scalar و أخدت أي vector space من + +166 +00:21:01,930 --> 00:21:06,490 +ال U هذه من ال subset و ضربت اتنين اللي جيته في U + +167 +00:21:06,490 --> 00:21:10,390 +يبقى تحقق ال condition الثانيباروح لل condition + +168 +00:21:10,390 --> 00:21:16,350 +التالت لو أخدت أي عنصر من U و لجأت حاصل الجامعه + +169 +00:21:16,350 --> 00:21:20,450 +اللي موجود في U إذا ال U هذا على طول الخط سيكون + +170 +00:21:20,450 --> 00:21:25,910 +ماله subspace يكفيني للحكم على subset اللي باخده + +171 +00:21:25,910 --> 00:21:29,750 +لأن subspace ثلاثة شرمإن الـ subset اللي أخدتها + +172 +00:21:29,750 --> 00:21:34,410 +الـ non-empty بمعنى على الأقل بدي أثبت إن فيها ولو + +173 +00:21:34,410 --> 00:21:40,770 +عنصر واحد فقط إتنين لو أخدت scalar و vector من ال + +174 +00:21:40,770 --> 00:21:45,150 +U ضربت اتنين مع بعض دجيته في U تلاتة لو أخدت two + +175 +00:21:45,150 --> 00:21:49,110 +vectors من هذه ال U جمعتهم لجينا الناتج في U وليس + +176 +00:21:49,110 --> 00:21:52,930 +خارج U automatic ال U بقدر أقول عليها ما لهذه + +177 +00:21:52,930 --> 00:21:58,950 +subspace من V نبدأ بأخذ الأمثلةقال ياخد الـ vector + +178 +00:21:58,950 --> 00:22:04,210 +space اللي هو R تكعيب أو R تلاتة اللي هو the set + +179 +00:22:04,210 --> 00:22:07,430 +of all three tuples بحيث X واحد و X اتنين و X + +180 +00:22:07,430 --> 00:22:11,450 +تلاتة كلها موجودة في R بدنا نعرف عليهم عملية الجمع + +181 +00:22:11,450 --> 00:22:15,950 +والضرب العادية ايش يعني عملية الجمع العادية يعني + +182 +00:22:15,950 --> 00:22:19,150 +الجمع ال component و ايزي و الضرب لو ضربت scalar + +183 +00:22:19,150 --> 00:22:22,890 +في ال components بدي اضربه في كل component من هذه + +184 +00:22:22,890 --> 00:22:29,580 +ال components لما سميت ضرب العادي والجمع العاديهذا + +185 +00:22:29,580 --> 00:22:32,020 +البرمجة تسمى vector space under U under + +186 +00:22:32,020 --> 00:22:38,420 +multiplication خد ال U كل العناصر اللي موجودة في V + +187 +00:22:38,420 --> 00:22:42,940 +بحيث المركبة التانية أو المركبة التالتة أصفرا + +188 +00:22:44,340 --> 00:22:48,940 +ماعليهاش قيود الأولى قال لي X موجودة وين في R يعني + +189 +00:22:48,940 --> 00:22:53,700 +ممكن صفر وممكن موجب وممكن سالب وممكن كسر وغير كسر + +190 +00:22:53,700 --> 00:22:58,900 +والاخرين يعني any real number مهما كان شكله بيقول + +191 +00:22:58,900 --> 00:23:03,380 +لي هل هذا subspace ولا لأ بقوله والله أعلم مش + +192 +00:23:03,380 --> 00:23:10,620 +عارفين يبقى بيدنا نيجي للحل solution مشانها شوفوا + +193 +00:23:15,580 --> 00:23:23,940 +السؤال هو هذا شكل اليوم هل نستطيع أن نثبت أن هناك + +194 +00:23:23,940 --> 00:23:30,360 +و لو أنصر واحد فقطالعنصر الصفري لأن قال لي x + +195 +00:23:30,360 --> 00:23:35,460 +موجودة في R يبقى مين ما كانت تكون إذا ال zero zero + +196 +00:23:35,460 --> 00:23:39,560 +zero موجودة في ال U ولا لا يبقى معناته non-empty + +197 +00:23:39,560 --> 00:23:43,940 +يبقى الخطوة الأولى بقول له هذه النقطة الأولى ال U + +198 +00:23:43,940 --> 00:23:52,100 +is non-empty non-empty ليش بدك تقول ليش because ال + +199 +00:23:52,100 --> 00:23:58,350 +zero و zero و zero موجود في ال Uلأنه جائل كله على + +200 +00:23:58,350 --> 00:24:01,930 +الشكل هذا المُركّب التاني أو التالتة بـ0 وهذه ما + +201 +00:24:01,930 --> 00:24:06,350 +عليهاش قيود قد تكون صفر وقد لا تكون صفر القيود على + +202 +00:24:06,350 --> 00:24:10,370 +ال two components الأخرى يبقى خلصنا النقطة الأولى + +203 +00:24:10,370 --> 00:24:16,290 +النقطة الثانيةبيقول لي لو أخدت أي element من R و + +204 +00:24:16,290 --> 00:24:21,910 +أي element موجود في V يبقى بالضجي أقول له let C + +205 +00:24:21,910 --> 00:24:30,830 +موجود في R and ال U بيكون X و 0 و 0 موجود في U + +206 +00:24:33,240 --> 00:24:40,600 +بتاخد أمانات C في الـ U إذا هذه بدأت تساوي C في X + +207 +00:24:40,600 --> 00:24:47,120 +و Zero ب Zero قلت ضرب ضرب عادي يبقى هذيش بتعطينا C + +208 +00:24:47,120 --> 00:24:52,670 +X و C في Zero ب Zero موجودة في U ولا لا؟هذه + +209 +00:24:52,670 --> 00:24:57,450 +المراكبتين تنتهي بـ0 وهذه مين ما كانت it كونت يبقى + +210 +00:24:57,450 --> 00:25:01,010 +معانا مشكلة إذا انتحقق مين ال condition التاني؟ + +211 +00:25:01,010 --> 00:25:04,290 +بتروح على ال condition التالت يبقى بدي أجي ل ال + +212 +00:25:04,290 --> 00:25:14,150 +condition الثالث يبقى بدي أقوله let مثلا ال u و ال + +213 +00:25:14,150 --> 00:25:26,980 +v let ال uتساوي X و Zero و Zero و V تساوي Y و Zero + +214 +00:25:26,980 --> 00:25:34,160 +و Zero موجودة في اليوم موجودة في اليوم ولا لأ لأن + +215 +00:25:34,160 --> 00:25:38,000 +المراكبة التانية هي كله فقداش ب Zero و الأولى مين + +216 +00:25:38,000 --> 00:25:44,670 +ما كانت تكونthen بدي أخد الجامع تبعهم يبقى بدي أخد + +217 +00:25:44,670 --> 00:25:51,070 +ال U زائد ال V يبقى ال X و Zero و Zero زائد Y و + +218 +00:25:51,070 --> 00:25:55,530 +Zero و Zero يساوي جالي جامع عادي يبقى الجامع + +219 +00:25:55,530 --> 00:26:01,750 +العادي هو ال component Y's يبقى X زائد Y و Zero و + +220 +00:26:01,750 --> 00:26:06,020 +Zero موجود في ال U ولا لا يا ابنهايبقى اتحققت + +221 +00:26:06,020 --> 00:26:10,120 +ثلاثة شروط ولا لأ؟ خلصت يبقى اذا ال U هو عبارة عن + +222 +00:26:10,120 --> 00:26:20,340 +subspace يبقى هنا الساعة ال U is a subspace of V + +223 +00:26:20,340 --> 00:26:22,420 +وانت هنا من المثلة + +224 +00:26:28,240 --> 00:26:33,580 +مين ما تيجي تحط تحط ماعنديش قيود على X أنا بقولك + +225 +00:26:33,580 --> 00:26:37,100 +بدك اجيبلي ولو عنصر واحد فستبينوا انها ال none + +226 +00:26:37,100 --> 00:26:40,300 +empty يعني مش القرآن نزل من السماء لازم يكون عنصر + +227 +00:26:40,300 --> 00:26:44,170 +السفر لأ لأ ليس بضرورةأي عنصر بيعني يكون موجود + +228 +00:26:44,170 --> 00:26:47,650 +حقيقيا يعني لو قلت أنا شيلت زيرو و حطيت بدله مية + +229 +00:26:47,650 --> 00:26:51,470 +حدله كلام عندي المية موجودة في R ولا لأ موجودة + +230 +00:26:51,470 --> 00:26:55,090 +يبقى أنا متقيل بال definition يبقى مية و زيرو و + +231 +00:26:55,090 --> 00:27:02,670 +زيرو موجودة في R في ال U إذا ال U is non-empty طيب + +232 +00:27:02,670 --> 00:27:04,410 +example two + +233 +00:27:11,930 --> 00:27:16,850 +Example 2 هذا سؤال اتنين من الكتاب كذلك بقول let + +234 +00:27:16,850 --> 00:27:23,690 +ال V تساوي R2 اللي هي the set of all elements X و + +235 +00:27:23,690 --> 00:27:27,710 +Y بحيث ال X و ال Y موجودة في ال set of real + +236 +00:27:27,710 --> 00:27:34,340 +numbers قال لي letالـ U بدها تسوي الـ set of all + +237 +00:27:34,340 --> 00:27:40,400 +elements واحد و Y such that ال Y موجودة في R + +238 +00:27:40,400 --> 00:27:49,060 +السؤال هو is ال U a + +239 +00:27:49,060 --> 00:27:57,160 +subspace of V ام + +240 +00:27:57,160 --> 00:27:57,820 +لأ؟ + +241 +00:28:06,370 --> 00:28:11,550 +بمجرد النظر يا بنات لما اقول ال you بالشكل اللي + +242 +00:28:11,550 --> 00:28:15,490 +عندنا هذا يبقى ال condition الأول متحقق طبيعي ولا + +243 +00:28:15,490 --> 00:28:25,890 +لا بدورش عليه الأمر الثاني شرط التاني متحقق؟ لأ مش + +244 +00:28:25,890 --> 00:28:32,380 +متحقق طب التالت؟يبقى لشرط التاني و لشرط التالت + +245 +00:28:32,380 --> 00:28:36,080 +متعقق يبقى أنا باهمني الشرط التاني باهمني بس واحد + +246 +00:28:36,080 --> 00:28:40,120 +فيهم لو أثبتت أن واحد ال three conditions is not + +247 +00:28:40,120 --> 00:28:44,080 +satisfied يبقى على طول الخط بطل يحصل هذا ال + +248 +00:28:44,080 --> 00:28:54,080 +subspace solution ال U is not a subspace because + +249 +00:28:54,080 --> 00:29:05,150 +السبب ifواحد و واي واحد و واحد و واي اتنين موجودات + +250 +00:29:05,150 --> 00:29:12,550 +فيه then واحد و واي واحد زائد واحد و واي اتنين + +251 +00:29:12,550 --> 00:29:18,150 +يساوي اتنين و واي واحد زائد واي اتنين و هذا does + +252 +00:29:18,150 --> 00:29:23,650 +not belong to you لذلك ال you is not a subspace of + +253 +00:29:23,650 --> 00:29:23,910 +me + +254 +00:29:39,180 --> 00:29:48,940 +Example 3 let + +255 +00:29:48,940 --> 00:30:01,050 +V تساويthe set of all elements a و b و c و d بحيث + +256 +00:30:01,050 --> 00:30:08,930 +ال a و ال b و ال c و ال d كلها أعداد حقيقية موجودة + +257 +00:30:08,930 --> 00:30:09,630 +في R + +258 +00:30:13,120 --> 00:30:25,040 +كل المصفوفات اللي على الشكل خمسة a b c d بحيث ال a + +259 +00:30:25,040 --> 00:30:31,400 +و ال b و ال c و ال d موجودة في set of real numbers + +260 +00:30:31,400 --> 00:30:37,000 +بقول prove or + +261 +00:30:37,000 --> 00:30:42,520 +disprove that + +262 +00:30:45,040 --> 00:30:52,300 +الـ U is a subspace of V + +263 +00:31:22,620 --> 00:31:28,400 +كل واحدة علمتك بقى اسمها قاضي تعالى، خد اللي حاجة + +264 +00:31:28,400 --> 00:31:32,180 +يبقى + +265 +00:31:32,180 --> 00:31:36,300 +بقى أصلا باري على الشخص أن هذا مرة ثانيةبقول افترض + +266 +00:31:36,300 --> 00:31:41,820 +بيه كل المصوفات لنظامها اتنين في اتنين والعناصر ال + +267 +00:31:41,820 --> 00:31:46,000 +interest ال A والB والC والD كلهم are real numbers + +268 +00:31:46,000 --> 00:31:51,360 +قال يخودي ال U برضه مصوفة نظامها اتنين في اتنين بس + +269 +00:31:51,360 --> 00:31:56,060 +العنصر الأول فيها هو مضاعفات العنصر الأول في مين + +270 +00:31:56,060 --> 00:32:01,730 +في Vبيقول لي هل هذي بيكون subspace ولا ماهواش + +271 +00:32:01,730 --> 00:32:05,770 +subspace يعني prove or disprove إذا بتقدر تتبت أنه + +272 +00:32:05,770 --> 00:32:09,670 +vector space كان بيها بتقدر تتبت أنه ماهواش vector + +273 +00:32:09,670 --> 00:32:13,290 +space ماهواش subspace كان بيها أيه بيها اللي تقدر + +274 +00:32:13,290 --> 00:32:19,250 +عليه اللي تقدر عليه بقوله كويس الآن أنا أدعي أن ال + +275 +00:32:19,250 --> 00:32:25,700 +U هذي is non-emptyصح؟ لأن على الأقل المصفوفة + +276 +00:32:25,700 --> 00:32:30,300 +الصفرية موجودة في ال space اللي عندنا هنا يبقى هنا + +277 +00:32:30,300 --> 00:32:38,780 +النقطة الأولى ال U is non-empty تمام؟ non-empty + +278 +00:32:38,780 --> 00:32:45,520 +ليش؟ since لو أخدت المصفوفة الصفرية يا بنات مش + +279 +00:32:45,520 --> 00:32:53,420 +بقدر أكتبها خمسة في zero و zero و zeroصح ولا لأ؟ + +280 +00:32:53,420 --> 00:32:58,940 +يبقى هذه موجودة في وين؟ موجودة فيه طيب، بدأ نجي + +281 +00:32:58,940 --> 00:33:06,580 +للنقطة الثانية بدأ أخد أي element if الـK موجود في + +282 +00:33:06,580 --> 00:33:10,700 +الـA then + +283 +00:33:10,700 --> 00:33:17,680 +لو أخدت ال .. بدأ أخد كمان element موجود في اليوم + +284 +00:33:17,680 --> 00:33:19,060 +and + +285 +00:33:20,930 --> 00:33:29,770 +الـ A تساوي الخمسة A,B,C,D موجودة في اليوم + +286 +00:33:38,010 --> 00:33:42,750 +مش الـ K في الـ A تعتبر مضروبة في كل عنصر من عناصر + +287 +00:33:42,750 --> 00:33:52,690 +المصوفة يبقى بقدر اقول هذه خمسة A K خمسة B خمسة C + +288 +00:33:52,690 --> 00:34:05,980 +خمسة Kخمسة .. لا ك بي ولا بي ك بي ك هنا سي ك هنا + +289 +00:34:05,980 --> 00:34:13,390 +دي ك بالشكل اللي عندنا هنا موجودة في U ولا لا؟هذا + +290 +00:34:13,390 --> 00:34:18,770 +عنصر و هذا عنصر و هذا عنصر و الخمسة مضروبة في + +291 +00:34:18,770 --> 00:34:24,070 +العنصر إذا موجودة ولا لا يبقى كافة هذه موجودة في + +292 +00:34:24,070 --> 00:34:29,750 +اليوم بدي أروح لل condition الثالث بدي أخد two + +293 +00:34:29,750 --> 00:34:41,230 +elementsالـ A يساوي خمسة A و هنا بي و هنا سي و دي + +294 +00:34:41,230 --> 00:34:49,910 +و بي تساوي اللي همين خمسة A one و B one و C one و + +295 +00:34:49,910 --> 00:34:55,070 +D one then بتاخد + +296 +00:34:55,070 --> 00:35:03,220 +ال A زي دي ال Bالـ A زائد الـ B يبقى الجامع خمسة A + +297 +00:35:03,220 --> 00:35:08,780 +زائد خمسة A1 الجامع على الأنصفات component-wise + +298 +00:35:08,780 --> 00:35:20,520 +وبعد ذلك B زائد B1و C زائد C1 و D زائد D1 يساوي + +299 +00:35:20,520 --> 00:35:26,080 +أظن بقدر أخد خمسة عامل مشترك منهم يبقى هذا بيعطيني + +300 +00:35:26,080 --> 00:35:37,000 +خمسة في A زائد A1 B زائد B1 C زائد C1 D زائد D1 + +301 +00:35:37,000 --> 00:35:41,350 +موجودة في ال U ولا يا بنات؟يبقى تحققت الشروط + +302 +00:35:41,350 --> 00:35:46,530 +اختلقتها ولا لا يبقى معناته الـ U دي is a subspace + +303 +00:35:46,530 --> 00:35:57,570 +يبقى باجي بقوله بص و هكذا اللي هو ال U is a + +304 +00:35:57,570 --> 00:36:04,370 +subspace of + +305 +00:36:04,370 --> 00:36:11,170 +Vيعني احنا بنحاول نحقق الشروط التلاتة إذا حققناها + +306 +00:36:11,170 --> 00:36:26,570 +كان بيها طيب نيجي ناخد كمان مثال example 4 بيقول + +307 +00:36:26,570 --> 00:36:36,670 +ل letأبطل V يساوي RN مين الـ RN؟ The set of all X1 + +308 +00:36:36,670 --> 00:36:48,910 +وX2 وXN بحيث أن X1 وX2 وXN كله موجود في ال set of + +309 +00:36:48,910 --> 00:36:54,050 +real numbers Let الـ A + +310 +00:37:00,870 --> 00:37:13,510 +مصفوفة مربعة let you be the set of all solutions + +311 +00:37:13,510 --> 00:37:20,110 +of + +312 +00:37:20,110 --> 00:37:23,750 +the system + +313 +00:37:25,230 --> 00:37:37,990 +اكس بدي ساوي زيرو show that show that show that ان + +314 +00:37:37,990 --> 00:37:45,990 +ال U is a subspace of RN + +315 +00:38:16,970 --> 00:38:24,450 +مرة تانية السؤال بيقول ما يعني فترضي أن عندي ال + +316 +00:38:24,450 --> 00:38:29,290 +vector space V the set of all innitube pairs X1 و + +317 +00:38:29,290 --> 00:38:33,170 +X2 و XN بحيث كل ال X هذه موجودة في R + +318 +00:38:38,140 --> 00:38:43,200 +أفترض الـ U هو كل الحلول للـ system الهوموجينية + +319 +00:38:43,200 --> 00:38:49,200 +قال يبيني أن الـ U عبارة عن subspace من مين؟ من R + +320 +00:38:49,200 --> 00:38:54,570 +نرجع بالذاكرة إلى الوراءلما أقول عندي homogeneous + +321 +00:38:54,570 --> 00:39:00,790 +system يبقى في عندي إما حل واحد فقط وهو الحل + +322 +00:39:00,790 --> 00:39:06,410 +الصفري أو عندي عدد لنهائي من الحلول والعدد إن هي + +323 +00:39:06,410 --> 00:39:11,710 +يجتمل على الحل الصفري إذا في عندي حل ولا مافيش حل + +324 +00:39:12,300 --> 00:39:16,880 +يبقى الـ set هذه لايمكن أن تكون empty يبقى non + +325 +00:39:16,880 --> 00:39:22,820 +-empty لأن على الأقل فيها الحل الصفري تمام فبعدين + +326 +00:39:22,820 --> 00:39:27,900 +بقول solution the + +327 +00:39:27,900 --> 00:39:39,880 +set U is non-empty because is + +328 +00:39:39,880 --> 00:39:50,650 +zeroاللي هو بده يساوي Zero و Zero و Zero is the + +329 +00:39:50,650 --> 00:39:55,550 +trivial solution + +330 +00:39:55,550 --> 00:40:08,780 +of ال AX بده يساوي Zero Because Zero هذا موجودU is + +331 +00:40:08,780 --> 00:40:14,140 +the trivial solution of M يبقى بناء عليه الـ U هذه + +332 +00:40:14,140 --> 00:40:20,180 +مالها is non-empty يبقى تحقق من ال condition الأول + +333 +00:40:20,180 --> 00:40:23,940 +يبقى هذا ال condition الأول بالداخل ال condition + +334 +00:40:23,940 --> 00:40:33,940 +الثانيبدي اخد element موجود في R يبقى هنا fc موجود + +335 +00:40:33,940 --> 00:40:49,280 +في ال R and x1 مثلا is a solution of + +336 +00:41:02,640 --> 00:41:11,670 +X1 موجود في الـ Uماذا اثبت؟ اثبت ان الـ CX1 موجود + +337 +00:41:11,670 --> 00:41:17,130 +في الـ U بمعنى اخر اثبت ان الـ CX1 هو عبارة عن حل + +338 +00:41:17,130 --> 00:41:22,370 +لمن؟ للـ homogeneous system صح ولا لا؟ مرة ثانية + +339 +00:41:22,370 --> 00:41:26,380 +بقولأنا خدت ال condition التاني في حالة ال + +340 +00:41:26,380 --> 00:41:31,300 +subspace بقول لو أخدت element من R كسكلر و vector + +341 +00:41:31,300 --> 00:41:36,420 +من U و ضربت اتنين في بعض بد النتج يكون وين في U + +342 +00:41:36,420 --> 00:41:41,540 +بمعنى اخر لما أخدت x واحد عبارة عن حلوجبت constant + +343 +00:41:41,540 --> 00:41:49,020 +C من R بدي C في X1 يكون حل يعني إيش بديكون موجود + +344 +00:41:49,020 --> 00:41:56,060 +فيه بمعنى آخر إنه C X1 لما أضرب فيه ال A بديه ساوي + +345 +00:41:56,060 --> 00:42:01,780 +كده؟ بديه ساوي Zero إن كان هيك بصير هذا هو حل طيب + +346 +00:42:01,780 --> 00:42:06,380 +تمام بقولك كويس إذا بدي أجي أقولك consider + +347 +00:42:09,300 --> 00:42:18,760 +أو قبل قبل consider يبقى هنا since بما أن x1 a + +348 +00:42:18,760 --> 00:42:32,950 +solution of ax بده يساوي zero we haveالـ A X1 يبقى + +349 +00:42:32,950 --> 00:42:43,370 +كذلك بالنسبة لنا + +350 +00:42:46,330 --> 00:42:52,630 +إن طلع هذا الناتج يساوي Zero بيكون فعلاً CX1 هو + +351 +00:42:52,630 --> 00:42:56,350 +عبارة عن حلل هموجينيا ال system بقوله كويس هذه + +352 +00:42:56,350 --> 00:43:00,570 +الأن scalar ال scalar أخدنا من اسم ال vector بقدر + +353 +00:43:00,570 --> 00:43:04,830 +أخليها جوا و بقدر أطلعها برا من القواص يبقى بقدر + +354 +00:43:04,830 --> 00:43:09,230 +أقول هذا الكلام يساوي CX1 + +355 +00:43:15,530 --> 00:43:20,350 +يبقى الـ Zero Vector Scalar في Zero Vector بيعطي + +356 +00:43:20,350 --> 00:43:26,510 +نمين الـ Zero Vector شو معنى هذا الكلام ان الـ CX1 + +357 +00:43:26,510 --> 00:43:31,770 +عبارة عن حل للـ homogeneous system يبقى هذا معناته + +358 +00:43:31,770 --> 00:43:43,560 +ان الـ CX1 is a solution ofThe homogenous + +359 +00:43:43,560 --> 00:43:57,120 +system AX == 0 هذا معناه ان CX1 موجود في U + +360 +00:44:00,330 --> 00:44:07,070 +أفترض عندي حلين موجودات في اليوم يبقى هنا بدأ أقول + +361 +00:44:07,070 --> 00:44:17,130 +له let x1 و x2 موجودات في اليوم يبقاش + +362 +00:44:17,130 --> 00:44:23,530 +معنا x1 و x2 عبارة عن أيه؟ حلين لمن؟ للـ + +363 +00:44:23,530 --> 00:44:26,990 +homogeneous system يبقى then + +364 +00:44:29,570 --> 00:44:42,490 +x1 and x2 are two solutions of the homogeneous + +365 +00:44:42,490 --> 00:44:54,630 +system A x بيساوي 0 هذا معناه ان A x1 بيساوي 0 and + +366 +00:44:56,270 --> 00:45:04,750 +الـ A X2 بده يساوي 0 طب أنا إيش بده أثبت؟ بده أثبت + +367 +00:45:04,750 --> 00:45:10,070 +إن مجموعهم بده يكون حل للـ Homogeneous System + +368 +00:45:10,070 --> 00:45:16,610 +بمعنى آخر، إذا كنت أثبت إن A X1 زي X2 بده يعطينا + +369 +00:45:16,610 --> 00:45:22,940 +0، بتم المطلوب، صح؟ يبقى باجي بقوله هناالآن بدي + +370 +00:45:22,940 --> 00:45:33,100 +أخد ال a في x1 زائد x2 بدي أساوي بدي أفك هذا يبقى + +371 +00:45:33,100 --> 00:45:44,560 +هذا a x1 زائد a x2 طب a x1 يبقى كده؟ و a x2 يبقى + +372 +00:45:44,560 --> 00:45:56,160 +ناتج كده؟يبقى هذا معناه ان الـ x1 زائد x2 هي حلول + +373 +00:45:58,010 --> 00:46:06,590 +الـ ax بدي ساوي 0 هذا معناه ان ال x1 زيدي ال x2 + +374 +00:46:06,590 --> 00:46:23,590 +موجود في ال U يبقى ضس و هكذا ال U is a subspace of + +375 +00:46:23,590 --> 00:46:25,010 +V + +376 +00:46:29,870 --> 00:46:34,130 +لسه لازلنا في نفس ال section و بنكمل ان شاء الله + +377 +00:46:34,130 --> 00:46:37,910 +ال .. والله مش هنكمل حتى المرة الجاية اللى بعدها + +378 +00:46:37,910 --> 00:46:44,490 +يعنى لسه فيه كلام كتير هنا بس لازل ان المزيد من + +379 +00:46:44,490 --> 00:46:49,110 +الأمثلة على نفس الموضوع وين الورقه؟ الورقه + +380 +00:46:49,110 --> 00:46:49,690 +هتعطيكوا العرفة + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/x6ZZjvJCeB8_postprocess.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/x6ZZjvJCeB8_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..be1d5dc955edb71c8e216c095c327099434096e1 --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/x6ZZjvJCeB8_postprocess.srt @@ -0,0 +1,1920 @@ +1 +00:00:20,670 --> 00:00:25,350 +بسم الله الرحمن الرحيم بالعودة إلى section 2.9 + +2 +00:00:25,350 --> 00:00:29,530 +الذي ابتدأناه في المرة الماضية كان هذا ال section + +3 +00:00:29,530 --> 00:00:35,110 +يتحدث عن خواص المحددات اللي هو ال properties of + +4 +00:00:35,110 --> 00:00:41,430 +determinants خواص المحددات واخدنا ثمانية خواص لهذه + +5 +00:00:41,430 --> 00:00:47,770 +المحددات والان بنحاول نستخدم هذه الخواص ما أمكن + +6 +00:00:47,770 --> 00:00:52,080 +ذلكنعطي اول مثال على هذا الموضوع بيقول evaluate + +7 +00:00:52,080 --> 00:00:57,320 +the determinant احسب هذا المحدد وزي ما انت شايفه + +8 +00:00:57,320 --> 00:01:03,160 +هذا محدد من الرتبة الرابعة يبقى اربعة صفوف واربعة + +9 +00:01:03,160 --> 00:01:08,260 +اعمدة مش هفك بالطريقة المطولة تبعت الثانوية وانما + +10 +00:01:08,260 --> 00:01:13,560 +هفك باستخدام هذه الخواصم بمعنى اخرإذا قررت أخد + +11 +00:01:13,560 --> 00:01:19,780 +محدد لمصفوفة قطرية أخر ملاحظة مكتوبة معاكي المرة + +12 +00:01:19,780 --> 00:01:24,500 +اللي فاتت أخر سطر مكتوب معاكي المرة الماضية لو + +13 +00:01:24,500 --> 00:01:28,320 +كانت عندي ال triangle matrix سواء كانت upper + +14 +00:01:28,320 --> 00:01:32,440 +triangle ولا lower triangle فإن قيمة هذا المحدد + +15 +00:01:32,440 --> 00:01:39,060 +تساوي حصل ضرب عناصر القطر الرئيسي مصبوط a11, a22, + +16 +00:01:39,460 --> 00:01:46,650 +a33 لغاية annلذلك انا هحاول احل او اوجد قيمة هذا + +17 +00:01:46,650 --> 00:01:51,990 +المحدد باستخدام هذه الخاصية بمعنى اخر يعني بدي + +18 +00:01:51,990 --> 00:01:57,530 +احول هذا المحدد الى محدد لمصوفة مثلثة عليا او + +19 +00:01:57,530 --> 00:02:03,130 +مثلثة سفلة اي منهما وبالتالي بروح بجيب حاصل ضرب + +20 +00:02:03,130 --> 00:02:08,450 +عناصر قطة الرئيسي بتكون هي قيمة المحدد المطلوبة + +21 +00:02:09,120 --> 00:02:15,080 +بدنا نبدأ نشتغل في قيمة هذا المحدد فباقي بقوله هذا + +22 +00:02:15,080 --> 00:02:18,400 +المحدد كتالي يبقى هي solution + +23 +00:02:20,790 --> 00:02:27,330 +بالدرجة المحددة اللي احنا كاتبينه اللي هو 6 2 8 0 + +24 +00:02:27,330 --> 00:02:43,210 +1 3 5 2 2 1 0 3 2-5-2-7 هذا المحدد يساوي + +25 +00:02:45,660 --> 00:02:49,940 +أظن بنفع من إحدى الخواص قولنا لو ضربنا المحدد في + +26 +00:02:49,940 --> 00:02:54,440 +مقدار ثابت بضربه في أحد الصفوف أو أحد الأعمدة إذا + +27 +00:02:54,440 --> 00:02:58,800 +أنا هنا لو في عندي عمل مشترك في أحد الصفوف أو أحد + +28 +00:02:58,800 --> 00:03:03,720 +الأعمدة بقدر أقوله شرفنا برا يبقى بقدر أخد هذه + +29 +00:03:03,720 --> 00:03:08,840 +الصف الأول فيه اتنينفي تاني لا مافيش يبقى باجي + +30 +00:03:08,840 --> 00:03:15,020 +بقوله هذا المحدد يساوي اتنين وهنا بداجي اعمل ماتي + +31 +00:03:15,020 --> 00:03:21,360 +بيظل عندي تلاتةوهنا واحد وهنا أربعة وهنا زيرو هنا + +32 +00:03:21,360 --> 00:03:27,500 +عندنا واحد وهي تلاتة وهي خمسة اتنين اتنين واحد + +33 +00:03:27,500 --> 00:03:33,920 +زيرو سالب تلاتة اتنين سالب خمسة سالب اتنين سالب + +34 +00:03:33,920 --> 00:03:41,830 +سبعة بالشكل اللي عندنا هذا المحدد يساويهذه الاتنين + +35 +00:03:41,830 --> 00:03:47,290 +وهذه المحدد شو رأيكوا يا بنات لو بدلت الصف الأول + +36 +00:03:47,290 --> 00:03:57,490 +والثاني مع بعض هل تتغير قيمة المحدد بالمرة؟ + +37 +00:03:57,490 --> 00:04:02,870 +من خلاص، لو بدلنا صف مكان صف أو عمود مكان عمود + +38 +00:04:02,870 --> 00:04:08,580 +تبقى قيمة المحدد كما هيإشارة A مخالفة يعني لو بدلت + +39 +00:04:08,580 --> 00:04:12,780 +صف مكان صف بدي أحط إشارة إيه؟ إشارة سالب يبقى هذا + +40 +00:04:12,780 --> 00:04:18,200 +المحدد يساوي سالب اتنين يبقى هاي سالب .. شو اللي + +41 +00:04:18,200 --> 00:04:23,620 +بدي أبدله؟ بدي أبدل الصف الأول والتاني يبقى + +42 +00:04:23,620 --> 00:04:32,490 +replaceاللي هو R1 and R2 بدي أبدل R1 و R2 مع بعض + +43 +00:04:32,490 --> 00:04:37,610 +ليش بدي أخلي الواحد في البداية عندي هنا يبقى بقدر + +44 +00:04:37,610 --> 00:04:45,570 +أقول هي واحد تلاتة خمسة اتنين تلاتة واحد اربع زيرو + +45 +00:04:45,860 --> 00:04:52,540 +وهنا تلاتة واحد اربعة زيرو وهنا اتنين واحد زيرو + +46 +00:04:52,540 --> 00:05:01,330 +سالب تلاتة اتنين ناقص خمسة ناقص اتنين ناقص سبعةطب + +47 +00:05:01,330 --> 00:05:06,450 +الآن بدي أعمل بعض العمليات بحيث بدي أخليها upper + +48 +00:05:06,450 --> 00:05:11,330 +triangle matrix مصوفة مثلثة عالية يبقى بدي أخلي + +49 +00:05:11,330 --> 00:05:16,770 +العناصر أسفل القطر الرئيسي أسفرا يبقى بدي أخلي هنا + +50 +00:05:16,770 --> 00:05:23,330 +صفر وهنا صفر وهنا صفر من ضمن خواص المحددات لو ضربت + +51 +00:05:23,330 --> 00:05:28,370 +أي صفر أو أي عمود في مقدار ثابت وأضفته لعناصر صفر + +52 +00:05:28,370 --> 00:05:32,170 +أو عمود ثاني لاتتغير قيمة المحددمكتوبة الخاصية هذه + +53 +00:05:32,170 --> 00:05:36,210 +معاكم المرة الماضية صحيح يبقى انا بادعي اضرب الصف + +54 +00:05:36,210 --> 00:05:41,370 +الأول في سالب تلاتة و اضيفه للصف الثاني و اضربه في + +55 +00:05:41,370 --> 00:05:46,790 +سالب اتنين و اضيفه للصف الثالث و للصف الرابع يبقى + +56 +00:05:46,790 --> 00:05:54,050 +بقدر اقول هذا الكلام يساويتمام هذا السالب اتنين + +57 +00:05:54,050 --> 00:05:58,450 +اللي عندنا وهذا المحدد و بدي أشوف شو اللي بدي يصير + +58 +00:05:58,450 --> 00:06:07,050 +يبقى هنا بدي أضيف سالب تلاتة R1 to R2 للصف الثاني + +59 +00:06:07,050 --> 00:06:21,190 +and اللي هو سالب اتنين R1 to R3 and R4يبقى الصف + +60 +00:06:21,190 --> 00:06:27,070 +الأول كما هو يبقى هاي واحد وهي تلاتة وهي خمسة وهي + +61 +00:06:27,070 --> 00:06:31,990 +اتنين وهي جفالة بالدالي للصف التاني ضربته في سالب + +62 +00:06:31,990 --> 00:06:36,770 +تلاتة وأضافته له يبقى Zero سالب تسعة واحد بيصير + +63 +00:06:36,770 --> 00:06:43,760 +كده؟ سالب تمانيةهنا سالب تلاتة بيصير سالب خمستاشر + +64 +00:06:43,760 --> 00:06:49,320 +سالب خمستاشر اللي بيظهر سالب أحداشر هنا سالب تلاتة + +65 +00:06:49,320 --> 00:06:56,840 +بيصير سالب ستة سالب ستة كما هوبعد ذلك طلبنا في + +66 +00:06:56,840 --> 00:07:02,580 +سالب اتنين بيصير عندي Zero سالب ستة واحد بيصير + +67 +00:07:02,580 --> 00:07:09,700 +سالب خمسة سالب عشرة و Zero بسالب عشرة كما هو و هنا + +68 +00:07:09,700 --> 00:07:15,500 +سالب اربعة و سالب تلاتة بيصير سالب سبعة هنا كمان + +69 +00:07:15,500 --> 00:07:22,780 +Zeroهنا سالب ستة و سالب خمسة بسالب أحد عشر يبقى + +70 +00:07:22,780 --> 00:07:27,900 +سالب + +71 +00:07:27,900 --> 00:07:32,920 +عشر أو سالب اتنين بسالب اتناش يبقى سالب أربعة أو + +72 +00:07:32,920 --> 00:07:39,620 +سالب سبعة بسالب أحد عشر بالشكل اللي عندنافي ناقص + +73 +00:07:39,620 --> 00:07:43,640 +كثير يعني يبقى ممكن اخد من هنا شر السالب واحد ومن + +74 +00:07:43,640 --> 00:07:47,400 +هنا شر السالب واحد ومن هنا شر السالب واحد صح ولا + +75 +00:07:47,400 --> 00:07:51,880 +لا يعني كعامل مشترك من الكل بصير سالب واحد في سالب + +76 +00:07:51,880 --> 00:07:56,400 +واحد في سالب واحد في سالب واحد في سالب واحد في + +77 +00:07:56,400 --> 00:08:00,750 +سالب واحدبموجب يبقى بضيع الإشارة اللي جوا والإشارة + +78 +00:08:00,750 --> 00:08:05,810 +اللي برا يبقى المحدد هيصبح على الشكل التالي هاي + +79 +00:08:05,810 --> 00:08:11,350 +يساوي وهذا اتنين اللي برا تمام او لسهولة خليه مش + +80 +00:08:11,350 --> 00:08:16,830 +تبقى واضحة يساوي هاي سالب اتنين زي ما هو واخد كمان + +81 +00:08:16,830 --> 00:08:22,210 +سالب واحد في سالب واحد في سالب واحد وهي المحدد حتى + +82 +00:08:22,210 --> 00:08:26,340 +لما تروح تراجعي تعرفي كيف جت هذهيبقى هاي واحد + +83 +00:08:26,340 --> 00:08:34,720 +ثلاثة اتنين خمسة اتنين خمسة اتنين الصف الثاني Zero + +84 +00:08:34,720 --> 00:08:42,820 +تمانية احد عشر وهنا ستة وهنا Zero وهنا خمسة عشرة + +85 +00:08:42,820 --> 00:08:51,280 +سبعة وهنا Zero احد عشر وهنا اتناش وهنا احد عشر + +86 +00:08:51,280 --> 00:08:54,420 +بالشكل اللي عندنا طيب + +87 +00:08:55,490 --> 00:09:01,870 +أريد أن أحاول أن أجعل هذا الرقم واحد صحيح لكي أجعل + +88 +00:09:01,870 --> 00:09:06,090 +هنا تحتيه صفار لكي أجعل واحد صحيح لكي أقسم كله + +89 +00:09:06,090 --> 00:09:12,350 +عالميا على تمانية يبقى كأنه أريد أن أأخذه تمانية + +90 +00:09:12,350 --> 00:09:18,130 +برة عامل مشترك يبقى هذه تساوي هذه الاتنين اللي برة + +91 +00:09:18,130 --> 00:09:27,530 +وهذه التمانيةوصار عندى هذا المحدد 1 3 5 2 و هنا 0 + +92 +00:09:27,530 --> 00:09:38,220 +و هنا 1 و هنا 11 على 8 و هنا 6 على 8 يعنى 3 4وهنا + +93 +00:09:38,220 --> 00:09:45,240 +zero زي ما هو وهنا خمسة وهنا عشرة وهنا سبعة وهنا + +94 +00:09:45,240 --> 00:09:52,140 +zero وهنا احداشر وهنا اتناشر وهنا احداشر بالشكل + +95 +00:09:52,140 --> 00:09:57,780 +اللي عندنا هناالان هذا الكلام بده يساوي ال 16 + +96 +00:09:57,780 --> 00:10:03,660 +اتنين في تمانية اب ستاشر و لخاطر المحدد هذا اضربه + +97 +00:10:03,660 --> 00:10:09,020 +في سالب خامسة و اضيفه للصف الثاني و اقل الثالث و + +98 +00:10:09,020 --> 00:10:14,280 +اضربه في سالب احداشر و اضيفه للصف الرابع يبقى هذا + +99 +00:10:14,280 --> 00:10:19,940 +الكلام بده يساوي احد + +100 +00:10:19,940 --> 00:10:23,100 +عشر على تمانية و هذا تلاتة على اربع + +101 +00:10:32,020 --> 00:10:36,600 +أخدنا تمانية عامل مشترك اتنين في تمانية وليس اتنين + +102 +00:10:36,600 --> 00:10:40,100 +على تمانية انا اخدت تمانية عامل مشترك على حين هذه + +103 +00:10:40,100 --> 00:10:42,760 +التمانية لو بدى ادخلها جوا بصير تمانية في zero + +104 +00:10:42,760 --> 00:10:47,900 +بzero هنا تمانية هنا احداشر هنا اللي هو ستة + +105 +00:10:50,500 --> 00:10:58,200 +اللي بدى اعمله الان بداجى اخد سلب خمسة اري اتنين + +106 +00:10:58,200 --> 00:11:05,740 +to ار تلاتة وبدى اخد سلب احداشر اري اتنين سلب + +107 +00:11:05,740 --> 00:11:14,500 +احداشر اري اتنين الى to ار اربعة تصبح بالشكل + +108 +00:11:14,500 --> 00:11:21,910 +التالفالان انا عندى اتنى فى تمانية هذا اللى هو اب + +109 +00:11:21,910 --> 00:11:27,210 +ست عشر هذا الست عشر وهذا المحدد أصبح على الشكل + +110 +00:11:27,210 --> 00:11:34,810 +التالي واحد تلاتة خمسة اتنين وهنا عندك اللى هو + +111 +00:11:34,810 --> 00:11:41,990 +Zero وهنا واحد وهنا احد عشر على تمانية كما هيوهنا + +112 +00:11:41,990 --> 00:11:46,690 +تلاتة عالى أربعة كما هي الحين هنا zero وهنا zero + +113 +00:11:46,690 --> 00:11:51,390 +ليش؟ لأنه ضارب سالب خمسة هذه zero اللي ما هو سالب + +114 +00:11:51,390 --> 00:11:56,590 +خمسة وخمسة zero نجي هذه سالب خمسة في أحد عشر بسالب + +115 +00:11:56,590 --> 00:12:02,050 +خمسة وخمسين على تمانية يبقى هذه سالب خمسة وخمسين + +116 +00:12:02,050 --> 00:12:05,670 +على تمانية سالب خمسة وخمسين على تمانية يبقى ضيفة + +117 +00:12:05,670 --> 00:12:11,990 +لمين؟ لعشرةيبقى باجي بقوله زائد عشرة النتيجة تساوي + +118 +00:12:11,990 --> 00:12:17,730 +تمانين بدي أشيل منها خمسة و خمسين مضل قداش خمسة و + +119 +00:12:17,730 --> 00:12:22,330 +عشرين على تمانية يبقى النتيجة خمسة و عشرين على + +120 +00:12:22,330 --> 00:12:28,270 +تمانية بالموجة إذا هذه بدها تصير خمسة و عشرين على + +121 +00:12:28,270 --> 00:12:35,290 +تمانية بالموجةأنا ضرب هنا في قداش في سالب خمسة + +122 +00:12:35,290 --> 00:12:41,050 +بصير سالب خمستاشر على أربعة يبقى سالب خمستاشر على + +123 +00:12:41,050 --> 00:12:48,170 +أربعة بتضيف لمن؟ بتضيف لسبعة يبقى زائد سبعة وسبعة + +124 +00:12:48,170 --> 00:12:53,590 +أربعة في سبعة تمانية وعشرين بتشيل منهم خمستاشر بظل + +125 +00:12:53,590 --> 00:13:01,200 +قداش تلتاشر على أربعةيبقى هنا 13 على 4 نجي للصفة + +126 +00:13:01,200 --> 00:13:07,900 +الرابعة 00 ليش نضربه في سلب 11 وضيفه هنا بصير سلب + +127 +00:13:07,900 --> 00:13:18,700 +11 سلب 11 في 11 بسلب 121 121 على 8 تمام؟ بدي أضيفه + +128 +00:13:18,700 --> 00:13:25,700 +لمين؟ لل 12 يبقى زائد 12 مظبوط هيك يا بنات؟بتضيف + +129 +00:13:25,700 --> 00:13:32,180 +للـ 12 طبعاً تمانية في اتناش بستة و تسعين اربعة + +130 +00:13:32,180 --> 00:13:37,240 +واحد و عشرين يعني خمسة و عشرين بس بالسالم سالم + +131 +00:13:37,240 --> 00:13:42,600 +خمسة و عشرين على تمانية يبقى سالم خمسة و عشرين على + +132 +00:13:42,600 --> 00:13:48,920 +مهم على تمانيةالان بدي اضربه كمان مرة في سالب 11 + +133 +00:13:48,920 --> 00:13:59,620 +بصير سالب 33 يبقى سالب 33 على 4 سالب 33 على 4 زائد + +134 +00:13:59,620 --> 00:14:05,580 +11 زائد 11 اللي هو 7 اربعة واربعين بدي اشيل منهم + +135 +00:14:05,580 --> 00:14:16,900 +بظل 11مظبوط 44-33 يبقى 11 على 4 يبقى هذا 11 على 4 + +136 +00:14:16,900 --> 00:14:23,100 +بالشكل اللي عندناكويس طب الان بقدر اضيف الصف + +137 +00:14:23,100 --> 00:14:29,060 +التالت الى الصف الرابع مرة واحدة يبقى هذا الكلام + +138 +00:14:29,060 --> 00:14:38,960 +بده يساوي بده R تلاتة to R أربعة مباشرة يبقى بيصير + +139 +00:14:38,960 --> 00:14:44,980 +هى الستاشر فارة وهى المحدد هى واحد تلاتة خمسة + +140 +00:14:44,980 --> 00:15:06,340 +اتنينوهنا 01 11 8 3 4 00 25 8 13 4 بقى الصف الرابع + +141 +00:15:06,340 --> 00:15:12,980 +000يبقى هذا أضفته إلى هذا مباشرة يبقى بدي أضيف هذا + +142 +00:15:12,980 --> 00:15:18,420 +إلى هذا مباشرة تلتاشر و أحداشر أربعة و عشرين على + +143 +00:15:18,420 --> 00:15:25,120 +أربعة فيها ستة تمام؟ إذا أنا بدي قيمة هذا المحدد + +144 +00:15:25,120 --> 00:15:30,600 +يبقى قيمته هي الست عشر اللي برا في مين؟ في واحد في + +145 +00:15:30,600 --> 00:15:38,340 +كمان واحد في خمسة و عشرين على تمانية في ستةيبقى + +146 +00:15:38,340 --> 00:15:42,800 +هذا الكلام يساوي تمانية مع ستاشر فيها اتنين اتنين + +147 +00:15:42,800 --> 00:15:47,260 +في خمسة وعشرين وخمسين خمسة في ستة وثلاثين يبقى + +148 +00:15:47,260 --> 00:15:53,020 +تلاتمية اذا قيمة هذا المحدد يساوي تلاتمية بدون + +149 +00:15:53,020 --> 00:15:58,570 +ملجأ ليفكهيبقى انا استخدمت الخاصية الشهيرة ان + +150 +00:15:58,570 --> 00:16:04,690 +اضافة اي ا او ضرب اي صفر في اي رقم ثم اضافته الى + +151 +00:16:04,690 --> 00:16:10,490 +صفر اخر لا يغير من قيمة المحدد اخد كمان خاصية + +152 +00:16:10,490 --> 00:16:14,450 +تانية اذا في عندي مقدار ثابت موجود في احد الصفر او + +153 +00:16:14,450 --> 00:16:18,670 +في احد اللعمدة مشترك بين جميع العناصر بقدر اخدها + +154 +00:16:18,670 --> 00:16:25,390 +برا المحدديعني هنا احنا اشتغلنا اعدد خواص لهذا + +155 +00:16:25,390 --> 00:16:29,630 +المحدد ولغاية ما جينا لآخر ملاحظة كانت ان في المرة + +156 +00:16:29,630 --> 00:16:36,170 +الماضية أصبح عندي محدد لمصوفة مثلثة عليا كل + +157 +00:16:36,170 --> 00:16:40,850 +العناصر أسفل القطرة الرئيسية أسفارا إذا قيمة هذا + +158 +00:16:40,850 --> 00:16:46,020 +المحدد يساوي حصل ضرب عناصر القطرالرئيس يبقى أخر + +159 +00:16:46,020 --> 00:16:49,760 +سطر كتبناه المرة الماضية هذا اللي طبقته هنا + +160 +00:16:49,760 --> 00:16:53,880 +وبالتالي طلعت قيمة المحدد مضم روح أفك و أحسب + +161 +00:16:53,880 --> 00:16:59,400 +حزابات تمام؟ يبقى هذا المثال الأول في حدا فيكم + +162 +00:16:59,400 --> 00:17:02,840 +بتحب تسأل أي سؤال هنا؟ في أي نقطة من الكلام اللي + +163 +00:17:02,840 --> 00:17:06,540 +قدامنا على اللوح؟ ايوة أنا دايما أرجع لفكرة اللي + +164 +00:17:06,540 --> 00:17:12,650 +هيمثلثة العالية؟ و لا في إيش؟ بينفك، لأ بتقدر تفكي + +165 +00:17:12,650 --> 00:17:16,150 +فك عادي، كمان بيسألني لسه ما اتكلمناش فيه فك عادي، + +166 +00:17:16,150 --> 00:17:19,250 +تما رغم أني أعطيتها المرة الماضية، بس ماعطيتش + +167 +00:17:19,250 --> 00:17:23,090 +عليها مثال، قولنا بفكه باستخدام عناصر أي صف أو أي + +168 +00:17:23,090 --> 00:17:27,690 +عمود، مظبوط، هنعيد هذا الكلامجاي فى ال section + +169 +00:17:27,690 --> 00:17:32,850 +القادم ان شاء الله ونوريكوا كيف برضه نظريا كيف + +170 +00:17:32,850 --> 00:17:37,470 +هنفك وكيف هنستخدم ذلك على أي حال ما علينا الان + +171 +00:17:37,470 --> 00:17:46,850 +بروح نكمل أمثلة على هذا الموضوع ناخد example 2 + +172 +00:17:46,850 --> 00:17:53,730 +بقول + +173 +00:17:53,730 --> 00:18:03,840 +لأفالـ determinant للـ A بدو يسوي خمسة and ال + +174 +00:18:03,840 --> 00:18:14,720 +determinant لل B بدو يسوي تلاتة compute احسب + +175 +00:18:14,720 --> 00:18:24,330 +ال determinant لمين احسب ال determinantللـ ABA + +176 +00:18:24,330 --> 00:18:25,970 +Transpose + +177 +00:18:37,410 --> 00:18:42,070 +يبقى في هذا المثال يعطينا أن محدد المصوفة A يساوي + +178 +00:18:42,070 --> 00:18:47,910 +خمسة ومحدد المصوفة B يساوي تلاتة وطلب مني جدش قيمة + +179 +00:18:47,910 --> 00:18:54,190 +محدد A بـ A Transpose اللي هو مدور مصوفة كحاصل ضرب + +180 +00:18:54,190 --> 00:19:01,030 +ثلاث مصوفات في بعضهم البعض الحل يبقى بدي أبدأ بالـ + +181 +00:19:01,030 --> 00:19:10,400 +Determinant لمامللـ ABA Transposeأخدنا خاصية المرة + +182 +00:19:10,400 --> 00:19:14,300 +اللي فاتت أنه determinant لـA في B يسوى + +183 +00:19:14,300 --> 00:19:18,740 +determinant لـA في determinant لـB تمام؟ إذا بناء + +184 +00:19:18,740 --> 00:19:23,720 +على هذه الخاصية لو اعتبرت أن هذه مصفوفة وهذه + +185 +00:19:23,720 --> 00:19:28,760 +مصفوفة واحدة يبقى الطبقة لهذه الخاصية بيصير + +186 +00:19:28,760 --> 00:19:36,720 +determinant للـA في determinant لـB A transposeبعد + +187 +00:19:36,720 --> 00:19:41,880 +ذلك هذه مصفوفة وهذه مصفوفة تتطبق عليها نفس الخاصية + +188 +00:19:41,880 --> 00:19:46,400 +كمان مرة يبقى هذا الكلام بده يسوي ال determinant + +189 +00:19:46,400 --> 00:19:51,520 +اللي برا ماليش علاقة فيها آية موجودة الآن هذا + +190 +00:19:51,520 --> 00:19:57,080 +determinant لل B في determinant لل A transpose + +191 +00:19:57,080 --> 00:20:02,980 +كويس طب هنا مش يعطيني جداش ال determinant لل A + +192 +00:20:02,980 --> 00:20:08,590 +transposeلكن أول خاصية أخدناها أن determinant لـ A + +193 +00:20:08,590 --> 00:20:13,670 +هي determinant لـ A مصبوط يبقى هاي استخدمت كام + +194 +00:20:13,670 --> 00:20:18,850 +خاصية في حال المثال؟ خاصيتين يبقى برجع للخاصية + +195 +00:20:18,850 --> 00:20:23,690 +الأولى بقول له هذا الكلام بدي ساوي determinant للـ + +196 +00:20:23,690 --> 00:20:30,010 +A في determinant للـ B في determinant للـ A تبقى + +197 +00:20:30,010 --> 00:20:36,920 +للخاصيةرقم واحد من خواص المحدد يبقى هذا الكلام + +198 +00:20:36,920 --> 00:20:40,340 +بيساوي determinant لإيه مُعطَل يهو بخمسة + +199 +00:20:40,340 --> 00:20:45,940 +determinant لب مُعطَل يهو بتلاتة determinant لإيه + +200 +00:20:45,940 --> 00:20:51,340 +اللي هو بخمسة في خمسة وعشرين في تلاتة بخمسة وسبعين + +201 +00:20:51,340 --> 00:20:58,010 +يبقى قيمة هذا حاصل الضرب يساوي خمسة وسبعينيبقى + +202 +00:20:58,010 --> 00:21:05,610 +استطاعنا الحصول على محددات هذه المصفوفات دون معرفة + +203 +00:21:05,610 --> 00:21:11,270 +شكل هذه المصفوفات ولكن عن طريق استخدام خواص + +204 +00:21:11,270 --> 00:21:14,310 +المحددات المختلفة + +205 +00:21:22,140 --> 00:21:25,900 +في عندكوا أكتر من سؤال في التمرين؟ الأسئلة دي + +206 +00:21:25,900 --> 00:21:37,480 +جمعتهم في مثال واحد في عندي مثال ثلاثي بيقول + +207 +00:21:37,480 --> 00:21:47,700 +لي نمرة A F ال A تربيع بديه يساوي مصفوفة الوحدة + +208 +00:21:47,700 --> 00:21:57,910 +show thatبين لأن الـ determinant للـ A بيكون زائد + +209 +00:21:57,910 --> 00:22:06,810 +أو ناقص واحد نمر يا بيه لو كان الـ A transpose في + +210 +00:22:06,810 --> 00:22:12,830 +الـ A يساوي الـ I برضه show that أن الـ + +211 +00:22:12,830 --> 00:22:20,540 +determinant للـ A بيكون زائد أو ناقص واحدالأن نمري + +212 +00:22:20,540 --> 00:22:33,480 +الـ C F الـ A تربيع بده يساوي الـ A what can + +213 +00:22:33,480 --> 00:22:44,120 +you said about determinant + +214 +00:22:44,120 --> 00:22:45,520 +للـ A + +215 +00:22:51,330 --> 00:22:56,170 +يبقى عندنا الآن مطروح ثلاثة أسئلة بدنا نحاول نجاوب + +216 +00:22:56,170 --> 00:23:01,330 +على كل سؤال من هذه الأسئلة الثلاثة إجابة علمية + +217 +00:23:01,330 --> 00:23:06,190 +دقيقة من خلال اللي هو المحددات أو من خلال خواص + +218 +00:23:06,190 --> 00:23:12,790 +المحددات التي درست في المحاضرة الماضية الآن بداجي + +219 +00:23:12,790 --> 00:23:15,430 +ل الحل يبقى solution + +220 +00:23:19,290 --> 00:23:25,110 +أحنا عنا الـA تربية تساوي مصوفة الوحدة هذا كلام + +221 +00:23:25,110 --> 00:23:31,290 +مُعطَع طيب إيش المطلوب؟ الـdeterminant لـA إذا بدي + +222 +00:23:31,290 --> 00:23:34,610 +أجيب الـdeterminant للـtwo matrices اللي عندنا + +223 +00:23:34,610 --> 00:23:39,370 +يبقى مدام المصوفتين نفس بعض يبقى الـdeterminant + +224 +00:23:39,370 --> 00:23:45,790 +للـA تربية هو نفس الـdeterminant للـI الـidentity + +225 +00:23:45,790 --> 00:23:51,430 +صحيح ولا لأ؟ طيبالحين لما أقول هذه determinant ليه + +226 +00:23:51,430 --> 00:23:56,770 +تربية مش عبارة عن ا مضروبة في ا يبقى هذه كأنها + +227 +00:23:56,770 --> 00:24:04,290 +determinant للمصفوف ا مضروبة في المصفوف الوحدة + +228 +00:24:04,460 --> 00:24:08,720 +مصروفة الوحدة جميع أنصارها أصفرًا ما عدا أنصار قوة + +229 +00:24:08,720 --> 00:24:13,480 +الرئيسي 1 1 1 طبق الأخر سطر خدناه المرة الماضية + +230 +00:24:13,480 --> 00:24:18,560 +يبقى حصل درمت ياجون ال matrix اللي هو 1 في 1 في 1 + +231 +00:24:18,560 --> 00:24:23,740 +جد ما يكون يبقى النتيجة جداش؟ 1 من دائما وأبدا + +232 +00:24:23,740 --> 00:24:29,310 +قيمة محددة لمصروفة الوحدة هو بواحد صحيحطيب، هذا يا + +233 +00:24:29,310 --> 00:24:33,730 +بنات القيمة في نفسها مش عبارة عن الـdeterminant + +234 +00:24:33,730 --> 00:24:39,890 +للـA لكل تربية يساوي واحد؟ طيب، خلّينا ناخد الجذر + +235 +00:24:39,890 --> 00:24:44,830 +التربيهي للطرفين يبقى لو أخدنا الـdeterminant + +236 +00:24:44,830 --> 00:24:50,890 +للـA، بدّوا يعطينا هذا زائد أو ناقص واحد، اللي هو + +237 +00:24:50,890 --> 00:24:55,080 +الجذر التربيهي للطرفين، أظن و هو المطلوب؟خلصنا منه + +238 +00:24:55,080 --> 00:25:00,660 +نجي لنمرة B من المثلة بجهدي كانت نمرة A بدي اجي + +239 +00:25:00,660 --> 00:25:05,920 +لنمرة B بنفس التكتيك انا عندي A transpose في ال A + +240 +00:25:05,920 --> 00:25:11,220 +بده ساوي ال I يعني لو ضربت مدور المصوفة في المصوفة + +241 +00:25:11,220 --> 00:25:16,730 +وطلع الناتج هو مصوفة الوحدةيبقى بناءً عليه بدّي + +242 +00:25:16,730 --> 00:25:22,310 +أروح أخد الـ Determinant للـ A Transpose في الـ A + +243 +00:25:22,310 --> 00:25:29,520 +بدي أساوي Determinant لمصوفة الوحدةحسب الخواص يبقى + +244 +00:25:29,520 --> 00:25:34,100 +هذا الـ determinant للـ A transpose في الـ + +245 +00:25:34,100 --> 00:25:40,480 +determinant للـ A بده يساوي قد ياش واحد صحيح طب ال + +246 +00:25:40,480 --> 00:25:44,760 +determinant للـ A transpose هو determinant لـ A + +247 +00:25:44,760 --> 00:25:50,290 +اللي هي أول خاصية من الخواص المحدداتهذا معناه أن + +248 +00:25:50,290 --> 00:25:55,690 +الـ determinant للـ A في الـ determinant للـ A + +249 +00:25:55,690 --> 00:26:01,670 +بيكون 1 هذا معناه أن الـ determinant للـ A لكل + +250 +00:26:01,670 --> 00:26:07,110 +تربية بيكون جداش 1 لو أخذنا الجذر التربية إلى + +251 +00:26:07,110 --> 00:26:12,810 +الطرفين يبقى الـ determinant للـ A بيكون جداش زائد + +252 +00:26:12,810 --> 00:26:19,340 +أو ناقص 1 طيب يبقى أظن ما هو المطلوب؟وهو المطلوب + +253 +00:26:19,340 --> 00:26:24,680 +نجي للنقطة التالتة اللي هي نمرة الـC نمرة الـC + +254 +00:26:24,680 --> 00:26:30,930 +يعطيني أن الـA تربية تساوي الـAبيقول لي ماذا + +255 +00:26:30,930 --> 00:26:36,510 +تستطيع أن تقول عن ال determinant للـA يعني + +256 +00:26:36,510 --> 00:26:41,050 +مايعطينيها دي بنسميها في لغة الجبر العنصر ماسميه + +257 +00:26:41,050 --> 00:26:46,050 +idempotent idempotent لو كان مربع العنصر بيعطيني + +258 +00:26:46,050 --> 00:26:51,010 +نفس العنصر ايه تربية تساوي ايه معناته ال matrix دي + +259 +00:26:51,010 --> 00:26:57,370 +بنسميها idempotentانسى بلزم كيش لكن بس مجرد معلومة + +260 +00:26:57,370 --> 00:27:00,930 +للتذكير او لو مرت عليك في يوم من الايام تكوني على + +261 +00:27:00,930 --> 00:27:04,150 +علم ودراية بها على يعني معنى ان مش هذا الموضوع + +262 +00:27:04,150 --> 00:27:08,810 +يبجي انا عندي مربع ليه مصوفة بيعطيني نفس المصوفة + +263 +00:27:08,810 --> 00:27:16,680 +بيقولي ماذا يمكن ان تقول عن محدد المصوفة ايه؟بقوله + +264 +00:27:16,680 --> 00:27:20,360 +تعالى نجيب المحدد و بعدين بيصير خير يتفهم عن + +265 +00:27:20,360 --> 00:27:25,880 +الموضوع يبقى باجي بيقوله خد المحدد بيصير ال + +266 +00:27:25,880 --> 00:27:32,480 +determinant لل A تربيع يسوى ال determinant لمن؟ لل + +267 +00:27:32,480 --> 00:27:39,060 +A أو ان شئتم فقولوا يبقى ال determinant لل A في ال + +268 +00:27:39,060 --> 00:27:46,360 +A يسوى ال determinant لل A أو ال determinantللـ A + +269 +00:27:46,360 --> 00:27:52,900 +في الـ determinant للـ A ناقص الـ determinant للـ + +270 +00:27:52,900 --> 00:27:58,960 +A بده ساوي Zero فكيت هذه كحصل ضرب two determinants + +271 +00:27:58,960 --> 00:28:03,580 +و أضفت سالب determinant A ليها الطرفين فحصلت على + +272 +00:28:03,580 --> 00:28:08,960 +هذه المعادلة و كأنه أنا عندي معادلة من الدرجة + +273 +00:28:08,960 --> 00:28:13,520 +الثانية بالنسبة لـ determinant A و بده حل هذه + +274 +00:28:13,520 --> 00:28:17,500 +المعادلةإيه ده حلولة؟ خلاص أنا كنت هنا من هذه + +275 +00:28:17,500 --> 00:28:22,760 +الشغلة أظن بقدر أقول هذا ممكن أاخد determinant + +276 +00:28:22,760 --> 00:28:29,000 +للـA عام المشترك بيظل determinant للـA ناقص واحد + +277 +00:28:29,000 --> 00:28:33,720 +يساوي Zero مظبوط؟ + +278 +00:28:33,720 --> 00:28:38,540 +إذا يا إما ال term الأول هو اللي بيساوي Zero يا + +279 +00:28:38,540 --> 00:28:43,740 +إما ال term التاني بده يساوي Zero وقد يكون كلاهما + +280 +00:28:43,740 --> 00:28:50,240 +مثلاالله أعلميبقى باجي بيقول هذا معناه ان ال + +281 +00:28:50,240 --> 00:28:55,980 +determinant لل A بده يساوي 0 او ال determinant لل + +282 +00:28:55,980 --> 00:29:01,840 +A minus ال 1 هو اللي بده يساوي 0 هذا معناه ان ال + +283 +00:29:01,840 --> 00:29:08,720 +determinant لل A بده يساوي 0 او ال determinant لل + +284 +00:29:08,720 --> 00:29:14,280 +A بده يساوي قداش 1 يبقى هذا كل اللي بنستطيع نقوله + +285 +00:29:14,280 --> 00:29:19,230 +عن ال determinant لل Aيا إما محدد هذه المصوفة + +286 +00:29:19,230 --> 00:29:23,930 +يساوي الصفر، يا إما محدد هذه المصوفة يساوي كده؟ + +287 +00:29:23,930 --> 00:29:27,730 +يساوي واقع، حق صحيح هذا كل اللي بنقدر نقوله عن + +288 +00:29:27,730 --> 00:29:32,570 +القصة هذه، تمام؟ لحد هنا، stop، انتهى هذا ال + +289 +00:29:32,570 --> 00:29:38,130 +section، ولا يكون أرقام المسائل، يبقى بدأجي ل + +290 +00:29:38,130 --> 00:29:38,910 +exercises + +291 +00:29:41,390 --> 00:29:47,990 +أتنين وتسعة المسائل التالية السؤال الرابع والسؤال + +292 +00:29:47,990 --> 00:29:58,630 +الخامس B والسؤال السادس A والسؤال السابع وبعد ذلك + +293 +00:29:58,630 --> 00:30:04,050 +من تسعة لغاية أتناشر من تسعة لغاية أتناشر + +294 +00:30:29,610 --> 00:30:35,490 +ننتقل الآن إلى ال section اللذي يليه وهو section + +295 +00:30:35,490 --> 00:30:41,410 +الـ cofactors يعني العوامل المرافقة + +296 +00:30:47,110 --> 00:30:54,590 +لغاية هالنقطة هذه هي الامتحان لغاية نهاية 2 تسعة + +297 +00:30:54,590 --> 00:31:00,830 +طبعا الامتحان يوم التلاتة القادم يوم 12 تلاتة ان + +298 +00:31:00,830 --> 00:31:05,030 +شاء الله تعالى على أي حال يبقى بدنا نيجي لل + +299 +00:31:05,030 --> 00:31:09,810 +section الجديد اللي هو ال section 210 اللي هو + +300 +00:31:09,810 --> 00:31:11,730 +cofactors + +301 +00:31:13,630 --> 00:31:22,490 +العوامل المرافقة نعطي بعض التعريفات Definition let + +302 +00:31:22,490 --> 00:31:33,930 +A be an m×n matrix then + +303 +00:31:33,930 --> 00:31:35,350 +a submatrix + +304 +00:31:41,780 --> 00:31:50,680 +مصوفة جزئية is a matrix is a matrix هي عبارة عن + +305 +00:31:50,680 --> 00:31:56,840 +مصوفة obtained from + +306 +00:31:56,840 --> 00:32:10,800 +a من المصوفة a by adding by deleting وليس adding + +307 +00:32:14,900 --> 00:32:20,660 +by deleting rows or + +308 +00:32:20,660 --> 00:32:25,180 +columns or + +309 +00:32:25,180 --> 00:32:39,920 +columns of a or both أو كلهما definition تاني if + +310 +00:32:42,730 --> 00:32:57,410 +الـ A is a square matrix مصوفة مربعة order N من + +311 +00:32:57,410 --> 00:33:06,090 +الرتبة النونية then the minor of + +312 +00:33:06,090 --> 00:33:11,530 +the + +313 +00:33:15,270 --> 00:33:22,830 +Element The minor of the element AIK + +314 +00:33:22,830 --> 00:33:25,850 +AIK + +315 +00:33:25,850 --> 00:33:33,890 +is the determinant is the determinant + +316 +00:33:33,890 --> 00:33:38,670 +of + +317 +00:33:38,670 --> 00:33:41,350 +the determinant + +318 +00:33:43,820 --> 00:33:49,760 +of a submatrix + +319 +00:33:49,760 --> 00:34:07,760 +of a of order n minus one that obtained واللي + +320 +00:34:07,760 --> 00:34:10,560 +حصلني عليه by deleting + +321 +00:34:16,960 --> 00:34:24,600 +by deleting the I throw the + +322 +00:34:24,600 --> 00:34:39,780 +I throw and كثقال كثقال + +323 +00:34:39,780 --> 00:34:50,840 +of ايه اطلب English يعنيthe raw and + +324 +00:34:50,840 --> 00:34:57,180 +the + +325 +00:34:57,180 --> 00:35:00,600 +calm + +326 +00:35:00,600 --> 00:35:10,620 +of + +327 +00:35:10,620 --> 00:35:12,800 +aik + +328 +00:35:16,440 --> 00:35:22,800 +this minor this + +329 +00:35:22,800 --> 00:35:34,840 +minor is denoted by mik + +330 +00:35:34,840 --> 00:35:41,780 +command + +331 +00:35:41,780 --> 00:35:42,420 +definition + +332 +00:35:49,700 --> 00:35:56,180 +مع الـ square matrix + +333 +00:35:56,180 --> 00:36:10,280 +of order n ندفع + +334 +00:36:15,250 --> 00:36:22,070 +The Cofactor The + +335 +00:36:22,070 --> 00:36:32,890 +Cofactor Of The Element Cofactor + +336 +00:36:32,890 --> 00:36:36,970 +Of The + +337 +00:36:36,970 --> 00:36:40,290 +Element AIK + +338 +00:36:42,490 --> 00:36:53,070 +aik to be the number to be the number وعبارة عن + +339 +00:36:53,070 --> 00:36:57,570 +الرقم aik + +340 +00:36:57,570 --> 00:37:06,950 +واللي هو اللي بده يساوي سالب واحد اص اي زائد ك م + +341 +00:37:06,950 --> 00:37:10,270 +اي ك + +342 +00:37:43,380 --> 00:37:49,760 +example let a تساوي + +343 +00:37:49,760 --> 00:37:59,720 +واحد تلاتة اتنين ناقص اتنين ناقص واحد اربعة ناقص + +344 +00:37:59,720 --> 00:38:13,630 +تلاتة خمسة zeroالمطلب الأول نمرة a find the minor + +345 +00:38:13,630 --> 00:38:18,930 +of the + +346 +00:38:18,930 --> 00:38:32,550 +elements of the element خمسة and zero نمرة bFind + +347 +00:38:32,550 --> 00:38:38,550 +the cofactors + +348 +00:38:38,550 --> 00:38:44,330 +of the elements خمسة and زيرو + +349 +00:39:36,670 --> 00:39:41,610 +نرجع لكلام اللي احنا كاتبينه الـ cofactors العوامل + +350 +00:39:41,610 --> 00:39:48,110 +المرافقة نعطيه ثلاث تعريفات و من ثم نذهب الى + +351 +00:39:48,110 --> 00:39:53,190 +استخدام هذه التعريفات بالمثالبقول لك ال a بي ان m + +352 +00:39:53,190 --> 00:39:57,450 +by n matrix then a submatrix is a matrix obtained + +353 +00:39:57,450 --> 00:40:02,410 +from a by deleting rows or columns or both يعني + +354 +00:40:02,410 --> 00:40:07,750 +هنا بتتكلم على مصفوفة جزئية sub matrix يعني مصفوفة + +355 +00:40:07,750 --> 00:40:14,890 +جزئية إذا احنا من مصفوفة عندنا بدنا بدنا نجيب + +356 +00:40:14,890 --> 00:40:19,150 +مصفوفة جزئية مثال و ذلكلو اعتبرت يا بنات اللي + +357 +00:40:19,150 --> 00:40:23,470 +جاعدتها دول في الشجة هذه كلهم matrix هدول جينا + +358 +00:40:23,470 --> 00:40:27,930 +جلنا للصف الأول يلا جم من هنا يبقاش بيصيرهم sub + +359 +00:40:27,930 --> 00:40:31,990 +matrix اللي بياخد منهم ال sub matrix أو جلنا للصف + +360 +00:40:31,990 --> 00:40:35,940 +هذا كله يلا انت جلع الشجة التانيةيبقى الباقية هنا + +361 +00:40:35,940 --> 00:40:41,160 +sub matrix من ال matrix الاصلية ويمكن اقول الصف + +362 +00:40:41,160 --> 00:40:44,840 +هذا و الصف هذا يالا مع السلامة الصف والعمود يعني + +363 +00:40:44,840 --> 00:40:48,180 +يالا انتجلوا على الشجرة تانية يبقى الباقية ده كله + +364 +00:40:48,180 --> 00:40:53,560 +ماله sub matrix يبقى هنا اذا شطبت صف من صفوف + +365 +00:40:53,560 --> 00:41:00,730 +المصحفة او اكثرأو شطبت عمود أو أكتر أو شطبت صف و + +366 +00:41:00,730 --> 00:41:06,890 +عمود في أي واحد or both كلهم صف و عمود يبقى + +367 +00:41:06,890 --> 00:41:12,810 +المصحوف المتبقية بنسميها sub matrix مصحوفة جزئية + +368 +00:41:12,810 --> 00:41:18,250 +من مين؟ من المصحوف الأولى تمام؟ يبقى هذا ال + +369 +00:41:18,250 --> 00:41:23,250 +definition الأول أظن بسيط جدا بتدو الشغلالـ + +370 +00:41:23,250 --> 00:41:27,330 +Definition التانية بقول لو كانت ال A مصفوفة مربع + +371 +00:41:27,330 --> 00:41:32,390 +القرر تبعها N يبقى The Minor The Minor يبقى لغتنا + +372 +00:41:32,390 --> 00:41:38,590 +العربية مستمية المحدد أو المحدد الأصغريعني إذا + +373 +00:41:38,590 --> 00:41:43,330 +عندي مصفوفة أصلية ايه؟ هه ها دي بقول المحدد تبع + +374 +00:41:43,330 --> 00:41:47,530 +المصفوفة إيه إذا شطبت إنها صفوف أو عمدة و جيت أحسب + +375 +00:41:47,530 --> 00:41:51,770 +إيه المحدد، ها دي بقى يسميه المحدد الأصغر أو + +376 +00:41:51,770 --> 00:42:01,150 +المحيدديبقى الـ minor هو المحدد الأصغر أو المحيدد + +377 +00:42:01,150 --> 00:42:06,850 +المناظر لمين أو المأخوذ من ليه ال sub matrix من من + +378 +00:42:06,850 --> 00:42:12,570 +من ال matrix الأصلية فبقول F ليها is a square + +379 +00:42:12,570 --> 00:42:18,210 +matrix of order N يبقى هذا المصوف N من الصفوف و N + +380 +00:42:18,210 --> 00:42:23,740 +من الأعمدةالـ Minor than the minor of the element + +381 +00:42:23,740 --> 00:42:31,760 +AIK يبقى أنا في عندي محدد أصغر مناظر لأي عنصر من + +382 +00:42:31,760 --> 00:42:40,290 +عناصر المحددتذكروا قبل هيك اعطيناكم محدد وقلنا + +383 +00:42:40,290 --> 00:42:43,570 +بينا نحسب قيمة المحدد الثلاثي وقلنا لكم نستطيع + +384 +00:42:43,570 --> 00:42:49,090 +رفعكم باستخدام عناصر اي صف أو اي عمود مظبوط مسكت + +385 +00:42:49,090 --> 00:42:53,270 +العنصر اول وقلنا اشطب صفه و اشطب عموده يبقى اللي + +386 +00:42:53,270 --> 00:42:59,630 +بيظل هذا هو المحدد الأصغر المناظر للعنصر هذابعدين + +387 +00:42:59,630 --> 00:43:04,230 +انتقل لعنصر اللي بعده اشطب العمود والصف تبعه اللي + +388 +00:43:04,230 --> 00:43:08,170 +بيظل على الطرفين هذا هو المحدد الأصغر منظره له و + +389 +00:43:08,170 --> 00:43:14,190 +هكذا يبقى مرة تانية بقول لو عندي مصفوف A ال order + +390 +00:43:14,190 --> 00:43:20,890 +تبعها يساوي M the minor of the element AIK المحدد + +391 +00:43:20,890 --> 00:43:27,920 +الأصغر الخاص بالعنصر AIKis the determinant of a + +392 +00:43:27,920 --> 00:43:33,520 +sub matrix of A هو محدد لمصوفة جزئية من L قره + +393 +00:43:33,520 --> 00:43:40,000 +تبعها جداش N سالب واحد يعني شطاب صف وعمود من الصف + +394 +00:43:40,000 --> 00:43:45,180 +والعمود الصف والعمود اللي يقع فيه هذا العنصريعني + +395 +00:43:45,180 --> 00:43:50,460 +لو قلت I باتنين و K بتلاتة يبقى بدرشته بالصف + +396 +00:43:50,460 --> 00:43:55,960 +الثاني والعمود الثالث الذي يقعد اللي بيظل هي مصوفة + +397 +00:43:55,960 --> 00:44:01,320 +جزئية من المصوفة الأصلية وبالتالي المحدد تبعها بدل + +398 +00:44:01,320 --> 00:44:06,160 +ما كان من الرثبه أنه يصبح من الرثبه N ناقص واحد + +399 +00:44:06,160 --> 00:44:11,280 +واضحة صينيه يعني مثلا لو جيت افترضت ان الشجرة اللي + +400 +00:44:11,280 --> 00:44:13,400 +فيها الطلبات مصوفة مربعة + +401 +00:44:21,150 --> 00:44:27,090 +العمود اللي فيه المتبقي هي مصفوفة مربعة نقصة صف و + +402 +00:44:27,090 --> 00:44:31,230 +نقصة عمود يبقى بدل ما كانت من الرتبة انصرت من + +403 +00:44:31,230 --> 00:44:36,110 +الرتبة الناقص واحد يبقى هاي المقصود بهذا التعريب + +404 +00:44:36,410 --> 00:44:42,630 +that obtained by deleting يعني كيف حصلنا علي هذا + +405 +00:44:42,630 --> 00:44:48,650 +by obtaining by deleting the i-th row and كذا يعني + +406 +00:44:48,650 --> 00:44:55,750 +بالشطب الصف رقم I والعمود رقم Kالعنصر يقع في الصف + +407 +00:44:55,750 --> 00:44:59,370 +الفلاني نشطب صفه ويقع في العمود الفلاني يبقى منهش + +408 +00:44:59,370 --> 00:45:03,690 +نشطب عموده زي ما قلنا الأخت هذه اللي موجودة نشطب + +409 +00:45:03,690 --> 00:45:08,170 +الصف اللتي تقع فيه ونشطب العمود اللتي تقع فيه + +410 +00:45:08,170 --> 00:45:15,170 +المتبقي هو المحدد الأصغر المناظر لهذه الأخت بس + +411 +00:45:15,170 --> 00:45:16,010 +صعب؟ + +412 +00:45:18,440 --> 00:45:23,160 +هي نجي حطيت بينجوسين ذره and the column of a k + +413 +00:45:23,160 --> 00:45:28,120 +يعني الصف و العمود اللي يقع فيه العنصر a i k طيب + +414 +00:45:28,120 --> 00:45:33,400 +خلاص لما نقصت مين اللي هو المحدد الأصغر ال minor + +415 +00:45:33,400 --> 00:45:37,860 +بدنا نجي لالموضوع اللي احنا بدنا ياه و احنا رفعينه + +416 +00:45:37,860 --> 00:45:41,760 +ال cofactor بس قبل ال factor ال minor هذا هدله رمز + +417 +00:45:41,760 --> 00:45:51,610 +m i k يبقى m i k عنصر ولا محددمحدد أصغر يبقى MIK + +418 +00:46:00,750 --> 00:46:05,650 +الان بدنا نيجي لمين؟ for the square matrix للمصوفة + +419 +00:46:05,650 --> 00:46:13,350 +المربع of order n we define the cofactor العملي + +420 +00:46:13,350 --> 00:46:19,290 +المرافق لل element ik to be the number aik مين هو + +421 +00:46:19,290 --> 00:46:25,290 +aik؟ يبقى سلب واحد اقص ايك اي زايد ك في ال MIK + +422 +00:46:26,140 --> 00:46:29,340 +فاكرين لما كنا المحدد بيجينا و بيقول اللي بنفكه + +423 +00:46:29,340 --> 00:46:32,860 +باستخدام عناصر أي صف و أي عمود؟ معمرات، قاعدة + +424 +00:46:32,860 --> 00:46:37,700 +الإشارات، هذه قاعدة الإشارات، ليس الا أنا ماخد + +425 +00:46:37,700 --> 00:46:43,280 +العنصر في الصف الأول و العمود الثانييبقى بدأ أقول + +426 +00:46:43,280 --> 00:46:48,220 +سالب واحد أس واحد زائد اتنين يعني أس تلاتك بإشارة + +427 +00:46:48,220 --> 00:46:53,580 +سالب بصير العنصر هذا بإشارة سالب هذه كنا سميها قبل + +428 +00:46:53,580 --> 00:46:59,340 +ذلك قاعدة الإشارات يبقى بحصل على ال cofactor إذا + +429 +00:46:59,340 --> 00:47:03,940 +حصلت على ال minor و ال minor هذا قد يكون بإشارة + +430 +00:47:03,940 --> 00:47:09,130 +سالبة أو بإشارة موجبةحسب جمع I زائد K إن كان عددا + +431 +00:47:09,130 --> 00:47:13,570 +فرديا فالإشارة بالسالب وإن كان عددا زوجيا فالإشارة + +432 +00:47:13,570 --> 00:47:18,270 +بالموجب كما سنرى عظيم واضح هذا الكلام طيب ناخد + +433 +00:47:18,270 --> 00:47:22,700 +مثال عملي على الكلام اللي بنقوله هنامعطيني مصحوفة + +434 +00:47:22,700 --> 00:47:27,080 +نظامها تلاتة في تلاتة وقال لي هات لل minor لل + +435 +00:47:27,080 --> 00:47:32,820 +elements اللي هو خمسة وزيه تمام باجي بقوله كويس + +436 +00:47:32,820 --> 00:47:38,520 +يبقى أنا ال minor بديله الرمز مين يا بنات M I K + +437 +00:47:38,520 --> 00:47:44,990 +الآن العنصر خمسة هي خمسة مافيش غيره هذا جاي وينفي + +438 +00:47:44,990 --> 00:47:54,810 +الصف التالت والعمودي الثاني يبقى هنا the minor of + +439 +00:47:54,810 --> 00:48:03,210 +خمسة is M تلاتة اتنينمن وين جبته تلاتة اتنين لأن + +440 +00:48:03,210 --> 00:48:10,370 +العنصر خمسة يقع في الصف الثالث والعمود الثاني تمام + +441 +00:48:10,370 --> 00:48:15,230 +طيب هذا ال M تلاتة اتنين يسوى المحدد بدنا نشطب + +442 +00:48:15,230 --> 00:48:21,450 +الصف تبعه والعمود تبعه واللي بيظل بيكون هو قيمة ال + +443 +00:48:21,450 --> 00:48:27,550 +minor وهنا صفه وعموده بيظل عند هنا جداش اتنين + +444 +00:48:27,550 --> 00:48:33,720 +اربعةهذا لو جيت فاكته يبقى اربعة زائد اربعة يساوي + +445 +00:48:33,720 --> 00:48:38,800 +كدهش؟ يساوي تمانية يبقى ال minor للخمسة هو تمانية + +446 +00:48:38,800 --> 00:48:43,800 +يبقى هو قيمة المحدد الأصغر المناظر لمين؟ للخمسة + +447 +00:48:43,800 --> 00:48:47,300 +بالمثل بدنا نروح نجيب ال minor ل zero مش يتروح + +448 +00:48:47,300 --> 00:48:51,560 +الجودة ال minor ل zero ب zero لا مالوش دعوة فبجي + +449 +00:48:51,560 --> 00:48:58,900 +بقوله هناthe minor of zero is باجي على ال zero هي + +450 +00:48:58,900 --> 00:49:04,560 +ال zero واقع في الصف الثالث والعمود الثالث يبقى + +451 +00:49:04,560 --> 00:49:10,940 +باجي بقوله M تلاتة تلاتة ويسوى المحدد تبعه الاصم + +452 +00:49:10,940 --> 00:49:16,700 +نظر بشطه بصف وعمود بيضل واحد تلاتة ناقص اتنين ناقص + +453 +00:49:16,700 --> 00:49:24,710 +واحديبقى هذه النتيجة بناقص واحد زائد ستة تجدد ايوة + +454 +00:49:24,710 --> 00:49:28,950 +يبقى ال minor ل zero طلع خمسة مش zero يبقى انا + +455 +00:49:28,950 --> 00:49:33,050 +باخدهش انا باخد المحدد تبعه مش باخد العنصر تمام + +456 +00:49:33,050 --> 00:49:37,110 +يبقى هذا ال minor خلاصة المطلوب الأول مطلوب التاني + +457 +00:49:37,110 --> 00:49:43,370 +جاليهات لل cofactor لكل منها تمام يبقى بداجي على + +458 +00:49:43,370 --> 00:49:49,590 +ال cofactor بداجي لل cofactor الأولالان نمر بـ The + +459 +00:49:49,590 --> 00:50:01,250 +cofactor of خمسة is اتلاتة اتنين يعني سالب واحد + +460 +00:50:01,250 --> 00:50:08,110 +تلاتة زائد اتنين في المحدد الأصغر المناظر اللي هو + +461 +00:50:08,110 --> 00:50:15,540 +جبناه فوق ماتغيرش نقص اتنين اربعالحين هذا سالب + +462 +00:50:15,540 --> 00:50:20,220 +واحد أس تلاتة يعني سالب واحد أس قداش الأسفر دي + +463 +00:50:20,220 --> 00:50:26,000 +يبقى الإشارة بالسالب يبقى هذا الكلام بيساوي سالب + +464 +00:50:26,000 --> 00:50:32,880 +تمانية الآن بدنا نروح نجيب ال cofactor of zero is + +465 +00:50:32,880 --> 00:50:40,080 +ايه تلاتة تلاتةبدي أساوي سالب واحد أس تلاتة زائد + +466 +00:50:40,080 --> 00:50:45,380 +تلاتة في المحدد الأصغر المناظر له اللي هو واحد + +467 +00:50:45,380 --> 00:50:50,460 +تلاتة سالب اتنين سالب واحد و اللي هو بيصير عندنا + +468 +00:50:50,460 --> 00:50:57,000 +كده؟ خمسة كذلك لأن هذه السالب واحد أس ستة الأس + +469 +00:50:57,000 --> 00:51:00,880 +زوجي بيبتطلع بالموجة، بيضل يشيل قيمة المحدد، قيمة + +470 +00:51:00,880 --> 00:51:06,570 +المحدد يتساوي خمسة من أعلىيبقى هذا الفرق ما بين ال + +471 +00:51:06,570 --> 00:51:11,070 +minor و ال cofactor و زي ما تشوفي ال cofactor + +472 +00:51:11,070 --> 00:51:16,030 +يعتمد على من؟ على ال minor و هذا ده كنت بتذكر و + +473 +00:51:16,030 --> 00:51:21,050 +بجينا بقول انفك المحدد هذا بنجي بننفكه باستخدام + +474 +00:51:21,050 --> 00:51:24,430 +عناصر أو صف أو عمود فبجي بقول مثلا بالصف التالد + +475 +00:51:24,430 --> 00:51:28,790 +يبقى العنصر هذا اشطط بصف و عمود و بضل المحدد هذا + +476 +00:51:29,200 --> 00:51:33,380 +حسب قاعة الإشارات الإشارة هذه اتبعته بالسالب وهيها + +477 +00:51:33,380 --> 00:51:38,220 +طلعت عندنا بمين بالسالب تمام يبقى بروح بشطب صفه + +478 +00:51:38,220 --> 00:51:41,940 +عموده المحدد اللي بضله بضربه في الخمسة اللي بعده + +479 +00:51:41,940 --> 00:51:45,600 +ما هو ال zero في محدده يبقى ب zero طيّعنا من هنا + +480 +00:51:45,600 --> 00:51:49,540 +تمام؟ بنكمل المرة القادمة ان شاء الله تعالى + diff --git a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/xaphhldfua0.srt b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/xaphhldfua0.srt new file mode 100644 index 0000000000000000000000000000000000000000..1faa58aef931f049335f93a9a489360aa84f446b --- /dev/null +++ b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/xaphhldfua0.srt @@ -0,0 +1,1270 @@ +1 +00:00:20,320 --> 00:00:24,720 +بسم الله الرحمن الرحيم في المحاضرة الماضية تحدثنا + +2 +00:00:24,720 --> 00:00:29,220 +في chapter واحد section اثنين اللي هو separable + +3 +00:00:29,220 --> 00:00:34,000 +equations وهي المعادلات التي فصلنا فيها المتغيرات + +4 +00:00:34,000 --> 00:00:38,520 +بين الـ X في ناحية و الـ Y في ناحية ثم أكملنا الحل + +5 +00:00:38,520 --> 00:00:42,580 +بواسطة ال integration يبقى أكملنا الطرفين حصلنا + +6 +00:00:42,580 --> 00:00:50,000 +على شكل حل المعادلة. الآن ننتقل للنوع الثاني وهو الـ + +7 +00:00:50,000 --> 00:00:55,260 +Homogeneous equations المعادلات المتجانسة الآن + +8 +00:00:55,260 --> 00:01:01,620 +نحكم كيف المعادلة المتجانسة فنعطيها تعريف ثاني. + +9 +00:01:02,130 --> 00:01:04,210 +فبقى اللي بفهمه بجهة بقول الـ differential + +10 +00:01:04,210 --> 00:01:08,230 +equation dy by dx يساوي f of x y is called + +11 +00:01:08,230 --> 00:01:12,770 +homogeneous. هذه اختصار لكلمة homogeneous اللي فوق. + +12 +00:01:12,770 --> 00:01:17,810 +عند الـ g هعطينا نقطة if it can be written as إذا + +13 +00:01:17,810 --> 00:01:22,570 +وجدوا أنه نكتبه على الصيغة dy على dx يساوي capital F + +14 +00:01:22,570 --> 00:01:27,390 +اللي فوق small f واللي تحت capital F as a function + +15 +00:01:27,390 --> 00:01:32,470 +of y على x. يعني إذا قدرنا نكتب المعادلة على شكل y + +16 +00:01:32,470 --> 00:01:38,950 +على x بقدر أسميها دالة متجانسة معادلة متجانسة. + +17 +00:01:38,950 --> 00:01:44,250 +طبعا هذا منابط مش ممكن يحصل إلا إذا كان عندي بسط و + +18 +00:01:44,250 --> 00:01:50,410 +مقام يعني dy على dx يساوي بسط على مقام لأن في هذه + +19 +00:01:50,410 --> 00:01:55,030 +الحالة بقدر أكتب ربما نقدر و ربما لا نقدر نكتب + +20 +00:01:55,030 --> 00:02:00,630 +المعادلة كلها بدلالة Y على X لكن constant على X + +21 +00:02:00,630 --> 00:02:04,470 +ولا constant على Y ممنوع. بس constant لحاله مافي + +22 +00:02:04,470 --> 00:02:08,710 +مشكلة يعني لو جينا جسمنا على X على Y إلى آخره + +23 +00:02:08,710 --> 00:02:13,630 +وصارت في عندي طلع زائد 3 على X هل هذه homogeneous؟ + +24 +00:02:13,630 --> 00:02:19,430 +لا طبعا بديها تبقى Y على X أو مقدار ثابت خالي من + +25 +00:02:19,430 --> 00:02:25,440 +كل من X وY كما سنراه من خلال الأمثلة بعد قليل. الآن + +26 +00:02:25,440 --> 00:02:32,120 +بدنا نحل المعادلة التفاضلية المتجانسة يبقى + +27 +00:02:32,120 --> 00:02:35,660 +المعادلات التفاضلية المتجانسة لها تكتيك واحد في + +28 +00:02:35,660 --> 00:02:37,460 +الحل وهو كالتالي + +29 +00:02:47,050 --> 00:02:54,010 +المتغير V يساوي Y على X لو جاءت ضرب، ضرب التبادل + +30 +00:02:54,010 --> 00:02:57,970 +يساوي + +31 +00:02:57,970 --> 00:03:06,560 +X في V. الآن لو جيت اشتقت يبقى الـ dy by dx يساوي + +32 +00:03:06,560 --> 00:03:15,340 +هذا يعتبر مشتقة حاصل ضرب دالتين يبقى V زائد X في + +33 +00:03:15,340 --> 00:03:22,320 +dv على dx. الأولى في مشتقة الثانية هيها زي دالة + +34 +00:03:22,320 --> 00:03:28,300 +الثانية في مشتقة الأولى زيها. الآن أنا عندي y على x + +35 +00:03:28,300 --> 00:03:32,600 +ممكن أشيله و أكتب بدلها V و dy على dx بدي أشيله و + +36 +00:03:32,600 --> 00:03:38,740 +اكتب بدلها V زائد X في dv على dx. نمسك المعلومات هذه + +37 +00:03:38,740 --> 00:03:44,300 +و نرجع نعوض في المعادلة رقم star بنحصل على ما يأتي. + +38 +00:03:44,740 --> 00:03:52,840 +V زائد X في الـDV على DX يساوي capital F as a + +39 +00:03:52,840 --> 00:03:58,720 +function of V لأن شيلت Y على X وحطيت مكانها V. + +40 +00:03:59,400 --> 00:04:04,560 +الآن ممكن أجيب V وين؟ على الناحية الثانية يبقى أو + +41 +00:04:04,560 --> 00:04:12,040 +أضفنا سالب V للطرفين يبقى X في الـDV على DX يساوي + +42 +00:04:12,040 --> 00:04:18,620 +capital F of V ناقص الـV ايش رأيك؟ بقدر أفصل + +43 +00:04:18,620 --> 00:04:24,670 +المتغيرات الآن؟ بتخلي ال V's في جهة و ال X's في + +44 +00:04:24,670 --> 00:04:28,450 +جهة ثانية يبقى بناء عليه هذا بيصير + +45 +00:04:53,840 --> 00:05:06,960 +differential equation that can be solved as before + +46 +00:05:06,960 --> 00:05:11,860 +زي ما كنا بنحل قبل بنقدر نروح نحل المعادلة اللي + +47 +00:05:11,860 --> 00:05:18,900 +عندنا هذه. طب كويس لاحظوا قبل قليل قلت لكم إن + +48 +00:05:18,900 --> 00:05:22,680 +المعادلة هذه بقدر أكتبها بالشكل هذا لو كانت + +49 +00:05:22,680 --> 00:05:27,560 +rational function الطرف اليمين يعني بسط على مقام. + +50 +00:05:27,560 --> 00:05:32,320 +طب افترضي ما كانش عندي بسط على مقام كانت دالة عادية + +51 +00:05:32,320 --> 00:05:36,360 +دي واي على دي اكس يساوي X Y تربيع زي اثنين X + +52 +00:05:36,360 --> 00:05:41,170 +واي زي الثلاثة مثلا تمام. طب كيف بنعمل في هذه + +53 +00:05:41,170 --> 00:05:47,770 +الحالة؟ في عندي طريقة أخرى للحكم على هذه المعادلة + +54 +00:05:47,770 --> 00:05:53,530 +هل هي معادلة متجانسة أم لا؟ شو هذه الطريقة؟ هنحطها + +55 +00:05:53,530 --> 00:05:57,990 +لك في ال definition التالي. يبقى بدنا نروح نعطي + +56 +00:05:57,990 --> 00:06:05,990 +definition جديد. يبقى بداجي definition هقسمه + +57 +00:06:05,990 --> 00:06:08,630 +إلى نقطتين. النقطة الأولى + +58 +00:06:11,240 --> 00:06:19,180 +differential equation. الـ differential equation dy + +59 +00:06:19,180 --> 00:06:30,000 +by dx بده يساوي f of x y is called homogeneous is + +60 +00:06:30,000 --> 00:06:35,300 +called homogeneous. + +61 +00:06:35,300 --> 00:06:46,780 +if and only if. فالـ + +62 +00:06:46,780 --> 00:07:00,800 +F of T X و T Y بدها تساوي F of X Y for all T + +63 +00:07:00,800 --> 00:07:04,060 +النقطة + +64 +00:07:04,060 --> 00:07:17,840 +الثانية. A function f of x و y is called homogeneous + +65 +00:07:17,840 --> 00:07:24,100 +of degree + +66 +00:07:24,100 --> 00:07:35,360 +m. + +67 +00:07:37,650 --> 00:07:47,390 +الـ F of T X و T Y بدها تساوي T to the power M في + +68 +00:07:47,390 --> 00:07:57,530 +ال F of X Y. فالـ + +69 +00:07:57,530 --> 00:08:04,450 +F of T X و T Y بدها تساوي F of X Y + +70 +00:08:07,930 --> 00:08:18,330 +a homogeneous equation of degree الله أعلم. + +71 +00:08:32,640 --> 00:08:37,080 +نرجع الآن للـ two definitions اللي احنا كتبناهم + +72 +00:08:37,080 --> 00:08:41,940 +نفهم كل واحد من ال two definitions هذا طبعا التان + +73 +00:08:41,940 --> 00:08:45,900 +اللي هما علاقة ببعض علاقة قوية جدا واللي هما + +74 +00:08:45,900 --> 00:08:50,690 +علاقة بال definition الأول. الديفينيشن الأولاني هذا + +75 +00:08:50,690 --> 00:08:54,370 +بيقول الـ differential equation dy by dx يساوي f of + +76 +00:08:54,370 --> 00:08:59,390 +x y is called homogeneous. فقلنا homogeneous إذا + +77 +00:08:59,390 --> 00:09:02,830 +قدرنا نكتبها على الشكل اللي عندنا هذا هنا بقول + +78 +00:09:02,830 --> 00:09:09,610 +homogeneous if and only if. الـ f of t x و t y + +79 +00:09:09,610 --> 00:09:16,060 +بيبقوا يساوي f of x y لأي t نحطها. بيقول بتيجي على + +80 +00:09:16,060 --> 00:09:22,000 +المعادلة لو شيلت كل X وحطيت مكانها TX وجيت على Y + +81 +00:09:22,000 --> 00:09:27,320 +وشيلتها وحطيت مكانها TY تبقى المعادلة كما هي. إن + +82 +00:09:27,320 --> 00:09:31,280 +بقت كما هي بقول هذه homogeneous differential + +83 +00:09:31,280 --> 00:09:36,100 +equation. طب أنا هنا لو جيت وحطيت يا بنات TY على + +84 +00:09:36,100 --> 00:09:43,180 +TX مش بتظلها Y على X؟ ومن هنا باختصر T مع T بيضل Y + +85 +00:09:43,180 --> 00:09:47,360 +على X ومن هنا هذا ال definition يكافئ هذا ال + +86 +00:09:47,360 --> 00:09:52,970 +definition. تمام. لما أقول هذه homogeneous اللي هو + +87 +00:09:52,970 --> 00:09:57,550 +differential equation ممكن تكون من درجة ما تعالى + +88 +00:09:57,550 --> 00:10:01,790 +نشوف ايش اللي بقول هنا بقول دالة F of X Y بقول + +89 +00:10:01,790 --> 00:10:07,030 +عنها homogeneous of degree M دالة متجانسة من + +90 +00:10:07,030 --> 00:10:13,210 +الدرجة رقم M طبعا M عدد صحيح موجب أو صفر. ما عناه + +91 +00:10:13,210 --> 00:10:19,790 +مش مشكلة بس ليس كثير ليس سالبا. وهنا ايه فاصلة وقليل + +92 +00:10:19,790 --> 00:10:30,670 +الام greater than or equal to zero والام is an + +93 +00:10:30,670 --> 00:10:34,930 +integer يبقى + +94 +00:10:34,930 --> 00:10:35,810 +عدد صحيح. + +95 +00:10:38,550 --> 00:10:43,830 +أنا جيت على X شيلتها وحطيت مكانها TX جيت على Y + +96 +00:10:43,830 --> 00:10:48,230 +شيلتها وحطيت مكانها TY لما جيت إنها تجتمع زي اللي + +97 +00:10:48,230 --> 00:10:53,310 +فوق تساوي F of XY لما جيت تساوي T to the power M في F + +98 +00:10:53,310 --> 00:10:59,550 +of XY. بقول إن حدث ذلك يبقى الدالة اللي عنها دي + +99 +00:10:59,550 --> 00:11:06,450 +بقول عنها homogeneous من الدرجة رقم M. تمام؟ يبقى + +100 +00:11:06,450 --> 00:11:12,790 +هذا degree M هوموجينيس من degree M طيب يبقى بناء + +101 +00:11:12,790 --> 00:11:18,950 +عليه الدالة الأولى هذه في عندي هنا T ما عنديش يعني + +102 +00:11:18,950 --> 00:11:25,030 +كانت T أو Zero يبقى هذه بالهوموجينيس of degree + +103 +00:11:25,030 --> 00:11:31,870 +Zero. تمام. degree Zero يبقى هذه متجانسة من الدرجة + +104 +00:11:31,870 --> 00:11:36,680 +الصفرية. الآن بدنا نروح كيف بدنا نفهم ال two + +105 +00:11:36,680 --> 00:11:41,280 +definitions هدول؟ بدنا ناخد بعض الأمثلة يبقى + +106 +00:11:41,280 --> 00:11:48,340 +example one بقول + +107 +00:11:48,340 --> 00:11:54,100 +determine. determine + +108 +00:11:54,100 --> 00:12:00,300 +whether the following + +109 +00:12:03,040 --> 00:12:07,920 +determine whether the following functions are + +110 +00:12:07,920 --> 00:12:18,200 +homogeneous or not if + +111 +00:12:18,200 --> 00:12:30,080 +it is Homogeneous لو كانت homogenous state its degree + +112 +00:12:30,080 --> 00:12:36,100 +بدي أعرف قداش الدرجة بتاعتها. النقطة الأولى + +113 +00:12:51,130 --> 00:13:03,950 +النقطة الثانية. الـ F of X و Y بدها تساوي XY Cos Y + +114 +00:13:03,950 --> 00:13:08,690 +على X زائد X تربيع. + +115 +00:13:14,510 --> 00:13:19,270 +السؤال بيقول لي شوف لمين من الدول التالية بتبقى + +116 +00:13:19,270 --> 00:13:22,890 +homogenous ومين ماهيش homogenous وإذا كانت + +117 +00:13:22,890 --> 00:13:27,450 +homogenous بدي أعرف الـ M هذه قداش قيمتها يعني قداش + +118 +00:13:27,450 --> 00:13:34,290 +درجة هذه المعادلة. بقوله كويس بداجي ال solution هو + +119 +00:13:34,290 --> 00:13:41,310 +بداجي للنقطة الأولى اللي هي رقم I رقم I بدي أشيل + +120 +00:13:41,310 --> 00:13:48,050 +كل X وأحط مكانها. وأشيل كل Y وأحط مكانها TY يبقى + +121 +00:13:48,050 --> 00:13:57,310 +بالداجي أقوله هنا G of TX وTY بدها تساوي اثنين TX + +122 +00:13:57,310 --> 00:14:07,800 +لكل تربيع زائد ثلاثة TY لكل تربيع زائد أربعة يعني + +123 +00:14:07,800 --> 00:14:14,560 +هذه بقدر أقول اللي هي اثنين T تربيع X تربيع زائد + +124 +00:14:14,560 --> 00:14:24,720 +ثلاثة T تربيع Y تربيع زائد أربعة. الـ G is a non + +125 +00:14:24,720 --> 00:14:31,020 +homogeneous function. + +126 +00:14:31,020 --> 00:14:35,660 +يبقى هذه ليست homogeneous function. + +127 +00:14:46,190 --> 00:14:51,590 +نأتي للمعادلة الثانية أو للـ function الثانية. ناخد + +128 +00:14:51,590 --> 00:15:01,730 +النقطة الثانية لـ F of TX و TY تساوي يبقى هنا TX + +129 +00:15:01,730 --> 00:15:14,190 +مضروبة في TY TX في TY في Cos TY على TX + +130 +00:15:14,190 --> 00:15:24,010 +زائد TX لكل تربيع. هذه لو جيت ضربتها يا بنات بيصير + +131 +00:15:24,010 --> 00:15:31,250 +T تربيع XY وهنا لو اختصرت T مع T بيظل + +132 +00:15:31,250 --> 00:15:38,130 +Cosine Y على X وهذه زائد T تربيع X تربيع. + +133 +00:15:39,380 --> 00:15:44,000 +أظن ممكن من المعادلة هذه آخد T تربيع عامل مشترك. إذا + +134 +00:15:44,000 --> 00:15:51,580 +لو أخذنا T تربيع عامل مشترك بيظل لأن XY Cos Y على + +135 +00:15:51,580 --> 00:15:57,820 +X زائد X تربيع اللي بين Cos أليس T F of X وY + +136 +00:15:57,820 --> 00:16:05,280 +الأصلية يبقى هذا الكلام بدي يساوي T تربيع في F of X + +137 +00:16:05,280 --> 00:16:14,840 +وY. يبقى هذا معناه ايه؟ ف ال f of x و y is a + +138 +00:16:14,840 --> 00:16:19,820 +homogeneous function + +139 +00:16:19,820 --> 00:16:31,880 +of degree اثنين. طيب أنت هنا روح ناخد أمثلة. يبقى هذا + +140 +00:16:31,880 --> 00:16:36,720 +المثال على آخر التعريفين. بدنا نروح ناخد مثال على + +141 +00:16:36,720 --> 00:16:41,020 +التعريف الأول لل homogenous differential equation. + +142 +00:16:41,020 --> 00:16:49,320 +يبقى example two بيقول + +143 +00:16:49,320 --> 00:16:57,800 +solve the following differential + +144 +00:16:59,520 --> 00:17:05,540 +Equations. حل المعادلات التفاضلية التالية. أول + +145 +00:17:05,540 --> 00:17:12,440 +معادلة من هذه المعادلات التي هي رقم A بيقول XYY' + +146 +00:17:13,280 --> 00:17:19,520 +يساوي 2Y تربيع ناقص X تربيع. + +147 +00:17:44,670 --> 00:17:49,890 +أول شيء بتبحث هل هي homogeneous؟ ماهيش homogeneous + +148 +00:17:49,890 --> 00:17:56,980 +نق + +201 +00:22:45,060 --> 00:22:51,500 +ضربنا في اثنين بصير الـLin هذه يا بنات كأنها ايه؟ + +202 +00:22:51,500 --> 00:22:57,840 +كأنها الـLin الـV تربيع ناقص واحد يساوي الـLin + +203 +00:22:57,840 --> 00:23:03,700 +absolute value للـ X تربيع أظن سواء كتبنا الـLin و + +204 +00:23:03,700 --> 00:23:11,280 +والله ما كتبناش بتفرجش عندنا تمام؟ ها زائد اثنين + +205 +00:23:11,280 --> 00:23:19,570 +C1أنا بدي أشيل لن هذه برفع اثنين كأس للعداد ايه + +206 +00:23:19,570 --> 00:23:24,530 +يبقاش بيصير عندنا هنا absolute value للـ V تربيع ناقص + +207 +00:23:24,530 --> 00:23:32,570 +واحد يساوي E أس لن اللي هو الـ X تربيع لإن الـ X + +208 +00:23:32,570 --> 00:23:38,530 +تربيع زائد اثنين C1 كونه كمية مربعة حطيت الـ + +209 +00:23:38,530 --> 00:23:43,000 +absolute والله شيلته بتفرجش عندنا يبقى هذه يا بنات + +210 +00:23:43,000 --> 00:23:50,480 +اللي هي بتتساوي قداش X تربيع في E أس اثنين C1 E أس + +211 +00:23:50,480 --> 00:23:56,640 +لين X تربيع و E أس اثنين C1 تمام الـ E و الـ L عكس + +212 +00:23:56,640 --> 00:24:02,020 +بعض بصير X تربيع في من في C1 طب إيش رأيك هذه عمرها + +213 +00:24:02,020 --> 00:24:07,680 +تصير قيمة سالبة يبقى الـ absolute value هذا لا معنى + +214 +00:24:07,680 --> 00:24:13,190 +له موجب دائماً وأبداً يبقى بناءً عليه بقدر أقول إذا + +215 +00:24:13,190 --> 00:24:21,410 +الـV تربيع ناقص واحد يساوي C في X تربيع والـC بدي + +216 +00:24:21,410 --> 00:24:27,010 +يساوي E أس اثنين C1 هذا مقدار ثابت بدل ما هم كانوا + +217 +00:24:27,010 --> 00:24:31,150 +بديهم يحطوا مداله C التفلي بس في الكتاب مقدار ثابت + +218 +00:24:31,150 --> 00:24:37,410 +جد ما يكون يكون طيب الواحد هذا بقدر أنقله أين؟ على + +219 +00:24:37,410 --> 00:24:44,570 +الجهة الثانية يبقى بصير الـ V تربيع بده يساوي CX + +220 +00:24:44,570 --> 00:24:51,190 +تربيع زائد واحد طب الـ V تربية هذه مش عبارة عن Y على + +221 +00:24:51,190 --> 00:24:57,730 +X لكل تربية صح نضرب الطرفين في X تربية بصير عندنا + +222 +00:24:57,730 --> 00:25:05,970 +هنا Y تربية يساوي X تربية في C X تربية زائد واحد + +223 +00:25:06,560 --> 00:25:13,160 +ناخد الجذر التربيعي للطرفين يبقى بصير Y يساوي + +224 +00:25:13,160 --> 00:25:19,180 +الزائد أو ناقص اللي هو main اللي هو absolute value + +225 +00:25:19,180 --> 00:25:25,780 +للـ X في main في الجذر التربيعي لـ CX تربيع زائد + +226 +00:25:25,780 --> 00:25:35,150 +واحد يبقى هذا هو الحل تبع المثلة اللي عندنا تمام؟ + +227 +00:25:35,150 --> 00:25:39,150 +حد له أي تساؤل هنا قبل أن نذهب إلى المثال الذي + +228 +00:25:39,150 --> 00:25:45,750 +يليه .. آه أيوة تفضلي ما فيش + +229 +00:25:45,750 --> 00:25:50,310 +رأيك تيجي هنا؟ تعالي يلا يا بنات أخذنا طال الوقت + +230 +00:25:50,310 --> 00:25:54,570 +four example كمثال مشان اللي مش مخدمة تأخذ بالها + +231 +00:25:54,570 --> 00:26:00,410 +تسألي هنا اللي بدكية هنا يجب أن تعمل E أسنين extra + +232 +00:26:00,410 --> 00:26:06,160 +B زي اثنين C one مش هي الاثنين C one بحالهها ماشي + +233 +00:26:06,160 --> 00:26:14,620 +لكن هذا كله كأسل العدد E هذا كله أسل العدد E E أسل + +234 +00:26:14,620 --> 00:26:20,080 +يساوي E أس المقدار هذا كله مظبوط ولا لأ يبقى بيصير + +235 +00:26:20,080 --> 00:26:29,150 +E أسل X تربيع E أسل X تربيع في E أس اثنين C1 هي + +236 +00:26:29,150 --> 00:26:33,290 +وزنها مظبوط هيك عند ضرب تجمع الأسس فصارت مجموعة + +237 +00:26:33,290 --> 00:26:37,890 +بهذا الشكل الـE والإنعكس بعض بضل X تربيعها دي حطيت + +238 +00:26:37,890 --> 00:26:42,790 +بدلها مقدار ثابت لإن 2 و7 من 10 أس مقدار ثابت هيك + +239 +00:26:42,790 --> 00:26:47,110 +كنت بدك تسألي ولا بطلتي نفس السؤال في حابة تسأل + +240 +00:26:47,110 --> 00:26:54,250 +ثاني يا بنات خلاص نذهب إلى المثال الذي يليه + +241 +00:27:10,480 --> 00:27:15,160 +نمر بـ X + +242 +00:27:15,160 --> 00:27:27,980 +تربية Y' ناقص XY X تربية زائد Y تربية في 10 + +243 +00:27:27,980 --> 00:27:36,040 +inverse Y على X نحل المعادلة التفاضلية اللي قدامنا + +244 +00:27:36,040 --> 00:27:44,090 +هذه بسيطة جداً يبقى الخطوة الأولى بدي أخلّي Y' لحالة + +245 +00:27:44,090 --> 00:27:51,130 +يبقى إيش نعمل؟ نضرب في X تربيع صحيح ولا لا؟ يبقى + +246 +00:27:51,130 --> 00:27:58,490 +باجي بقوله solution أجسم المعادلة كلها على X تربية + +247 +00:27:58,490 --> 00:28:05,090 +لو جسمت على X تربية هنا يقدرش بيطلع Y' لو جسمت على + +248 +00:28:05,090 --> 00:28:13,110 +X تربية بيظل يقدرش Y على X يبدو يساوي 1 زائد Y على + +249 +00:28:13,110 --> 00:28:19,550 +X لكل تربية ثاني Inverse Y على X + +250 +00:28:23,140 --> 00:28:27,480 +بعد ذلك الآن صارت هذه homogenous differential + +251 +00:28:27,480 --> 00:28:34,840 +equation يبقى هذه homogenous differential + +252 +00:28:34,840 --> 00:28:38,980 +equation مادام homogenous إذا بنحلها بالطريقة اللي + +253 +00:28:38,980 --> 00:28:45,450 +حلناها بالمثال قبل قليل يبقى باجي بقوله put حط لي V + +254 +00:28:45,450 --> 00:28:52,430 +تساوي Y على X هذا معناه أن Y يساوي XV هذا معناه أن + +255 +00:28:52,430 --> 00:29:01,930 +dy by dx يساوي V زائد X في DV على DX إذا بدنا نمسك + +256 +00:29:01,930 --> 00:29:05,050 +المعلومات اللي حصلنا عليها و نرجع نعوضها بقى في + +257 +00:29:05,050 --> 00:29:12,180 +المعادلة أعلي يبقى الـY' يا بنات اللي هي V زائد X + +258 +00:29:12,180 --> 00:29:21,640 +في الـDV على DX نقص الـV يساوي 1 زائد V تربيع في + +259 +00:29:21,640 --> 00:29:30,860 +10 inverse V أظن سالب V وموجة V مع السلامة يبقى + +260 +00:29:30,860 --> 00:29:39,140 +تقول المثل إلى X في الـDV على DX 1 زائد V تربيع في + +261 +00:29:39,140 --> 00:29:47,460 +Tan inverse V نفصل المتغيرات بيدخل الـ V في الجهة + +262 +00:29:47,460 --> 00:29:54,340 +الشمال والـ X في الجهة اليمين يبقى دي بيصير DV على + +263 +00:29:54,340 --> 00:30:02,600 +واحد زائد V تربيع في tan inverse V يساوي DX على X + +264 +00:30:02,600 --> 00:30:07,520 +وهذه C Parabol equation + +265 +00:30:08,420 --> 00:30:14,100 +يبقى هذه معادلة فيها المتغيرات مفصولة إذا المعادلة + +266 +00:30:14,100 --> 00:30:20,160 +اللي كانت homogenous حولناها إلى separable ومن ثم + +267 +00:30:20,160 --> 00:30:25,800 +ما ضايل علينا إلا نكامل هذه المعادلة بيكون حصلنا + +268 +00:30:25,800 --> 00:30:33,540 +على الحل المطلوب السؤال هو هذه very easy طب و هذه + +269 +00:30:33,540 --> 00:30:41,000 +very easy كمان مش تقت الـ tan inverse كده؟ 1 لا 1 + +270 +00:30:41,000 --> 00:30:47,900 +زائد V تربيع إذا هذه كلها هي مش تقت من؟ tan + +271 +00:30:47,900 --> 00:30:54,580 +inverse يبقى المثل بقدر أقول هي D لـ tan inverse V + +272 +00:30:54,580 --> 00:31:02,400 +على tan inverse V بده يساوي DX على X إذا رحت كتبت + +273 +00:31:02,400 --> 00:31:07,790 +المعادلة اللي عندي بصياغة جديدة طب البسط هو تفاضل + +274 +00:31:07,790 --> 00:31:13,430 +المقام يبقى الجواب لين absolute value للمقام يبقى + +275 +00:31:13,430 --> 00:31:19,430 +هذا بدي يعطينا بالتكامل لين absolute value لـ 10 + +276 +00:31:19,430 --> 00:31:25,990 +inverse V بدي يساوي لين absolute value لـ X زائد + +277 +00:31:25,990 --> 00:31:33,990 +constant C1 طيب شو رأيك؟ ناخذ الـ exponential + +278 +00:31:33,990 --> 00:31:40,110 +للطرفين يبقى لها رفعت اثنين كأس للعدد E بصير عندي + +279 +00:31:40,110 --> 00:31:46,890 +absolute value لـ 10 inverse V بيصير E أس لن + +280 +00:31:46,890 --> 00:31:55,570 +absolute value لـ X زائد C1 شو اسمك أنت والله؟ مش + +281 +00:31:55,570 --> 00:32:02,670 +سامع أخوك نرمي توسيع سألة السؤال اللي بعضكم كانت + +282 +00:32:02,670 --> 00:32:08,550 +خجلانة تسأله نشجعها على ذلك ونذهب نذكر تذكير بما + +283 +00:32:08,550 --> 00:32:15,170 +كنا نصنعه في Calculus B يبقى هذه E أس لن absolute + +284 +00:32:15,170 --> 00:32:25,300 +value لـ X في E أس C1 تمام؟ هذا الكلام بده يساوي أو + +285 +00:32:25,300 --> 00:32:29,760 +هذا الكلام هو اللي إن عكس بعض يبقى absolute value + +286 +00:32:29,760 --> 00:32:38,440 +لـ X في C والـ C بده يساوي E on C1 مشان أضيع الكلكة + +287 +00:32:38,440 --> 00:32:44,620 +ما أخليش عندي كلكعة كتيرة طيب شو رأيك؟ بده أخذ الآن + +288 +00:32:44,620 --> 00:32:55,200 +10 للطرفين يبقى V تساوي 10 C absolute value لـ X + +289 +00:32:58,220 --> 00:33:06,300 +Y على X يبقى هذا معناه أن Y على X يساوي 10 لـ C + +290 +00:33:06,300 --> 00:33:11,100 +absolute value لـ X يبقى الحل اللي عندنا لو نضرب + +291 +00:33:11,100 --> 00:33:18,740 +الطرفين في X بيصير Y يساوي X في 10C absolute value + +292 +00:33:18,740 --> 00:33:23,480 +لـ X هذا هو حل المعادلة المعطاة + +293 +00:33:28,600 --> 00:33:36,820 +هذا كله بيظبط يكون Y على X ممكن + +294 +00:33:36,820 --> 00:33:40,880 +ما يظبطش ولما ما ظبطش بدنا نروح للـ C Parable أو + +295 +00:33:40,880 --> 00:33:46,670 +لبعض الطرق الأخرى التي لم ندرسها بعد يعني احنا + +296 +00:33:46,670 --> 00:33:52,730 +بالأخر ممكن نجيبلك تمرين عام بعد كله تحل على أي + +297 +00:33:52,730 --> 00:33:56,730 +طريقة بس تجرب الطريقة اللي تعجبك بس الـ Y على X + +298 +00:33:56,730 --> 00:34:01,990 +بتقدر تطلع فيها بمجرد النظر يعني أنا لو جسمت على X + +299 +00:34:01,990 --> 00:34:06,030 +ولا على X تربيع هل بيطلع Y على X و X على Y ولا لأ + +300 +00:34:06,030 --> 00:34:09,350 +إذا طلع خلاص هموجينة قبل ما تشتغل لها بمجرد ما + +301 +00:34:09,350 --> 00:34:13,580 +تطلع فيها تمام أو إذا قررت أفصل بقدر أفصل المتغير + +302 +00:34:13,580 --> 00:34:19,040 +يبقى ياسي برامول وهكذا لسه لازال عندنا بعض أنواع + +303 +00:34:19,040 --> 00:34:24,080 +أخرى من الـ first order differential equation طيب + +304 +00:34:24,080 --> 00:34:34,420 +نعطيكي ملاحظة remark to + +305 +00:34:34,420 --> 00:34:35,280 +solve + +306 +00:34:39,910 --> 00:34:48,770 +لـ differential equation لحل المعادلة التفاضلية a1 + +307 +00:34:48,770 --> 00:34:59,830 +x1 b1 y1 زائد c1 كل هذا مضروب في الـ y prime يساوي + +308 +00:34:59,830 --> 00:35:15,500 +a2 x زائد a2 xA1X يا بنات B1X يساوي as A2X زائد + +309 +00:35:15,500 --> 00:35:30,340 +B2Y زائد C2 و examine the following بدنا نختبر ما + +310 +00:35:30,340 --> 00:35:34,280 +يأتي النقطة + +311 +00:35:34,280 --> 00:35:34,660 +الأولى + +312 +00:35:37,390 --> 00:35:51,310 +إذا الـ A1 في الـ B2 تساوي A2 في الـ B1 نحل بالطريقة + +313 +00:35:51,310 --> 00:36:02,110 +نحل نحل بالطريقة نحل as the final example + +314 +00:36:03,880 --> 00:36:14,260 +as a final example in section واحد اثنين نقطة + +315 +00:36:14,260 --> 00:36:26,980 +ثانية if ال a1 b2 لا تساوي ال a2 في ال b1 we use + +316 +00:36:26,980 --> 00:36:31,620 +the transform + +317 +00:36:34,360 --> 00:36:43,440 +و نستخدم الـ transform اللي هو X يساوي X كابتل زائد + +318 +00:36:43,440 --> 00:36:56,380 +P و Y يساوي Y كابتل زائد Q حيث + +319 +00:36:56,380 --> 00:37:01,220 +الـ P و الـ Q هي حل + +320 +00:37:07,180 --> 00:37:15,540 +is the solution of the system + +321 +00:37:15,540 --> 00:37:20,440 +of equations + +322 +00:37:20,440 --> 00:37:24,020 +a1p + +323 +00:37:24,020 --> 00:37:37,900 +زائد b1q زائد c1 يساوي zero و a2p زائد بيتو اكيو + +324 +00:37:37,900 --> 00:37:46,700 +بيتو اكيو زائد C2 بده يساوي مين؟ بده يساوي Zero + +325 +00:38:33,240 --> 00:38:39,670 +Y' يساوي المقدار هذا على المقدار هذا أو ضربنا + +326 +00:38:39,670 --> 00:38:43,270 +الطرفين في المقام فصرت على الشكل اللي قدامي هذا + +327 +00:38:43,270 --> 00:38:48,250 +يبقى الشكل اللي قدامي هذا أو y prime يساوي هذا على + +328 +00:38:48,250 --> 00:38:52,510 +الجهة سيان كل واحد طيب أنا عندي معادلة بشكل لأن + +329 +00:38:52,510 --> 00:38:57,450 +أنا بادجي أحل هذه المعادلة يا بنات في عند المعادلة + +330 +00:38:57,450 --> 00:39:02,650 +أحياناً بتكونش homogenous لكن أنا بقدر بطريقة ما + +331 +00:39:02,650 --> 00:39:06,710 +أحولها إلى homogeneous differential equation وإذا + +332 +00:39:06,710 --> 00:39:09,970 +حولتها بقدر أحلها بالطريقة اللي حلناها بالمثالين + +333 +00:39:09,970 --> 00:39:15,070 +السابقين قبل قليل طبعاً يبقى إذا عندي مثل من هذا + +334 +00:39:15,070 --> 00:39:19,850 +القبل وهذه ليست homogenous بده أطلع على شغلتين + +335 +00:39:19,850 --> 00:39:29,140 +الشغل الأولى هل a1 في ال b2 مع الـ A2 في الـ B1 هل + +336 +00:39:29,140 --> 00:39:33,740 +هدول بيساووا بعض؟ والله بيساووش والله إذا كان هدول + +337 +00:39:33,740 --> 00:39:38,140 +بيساووا بعض بنروح نحل المعادلة هذه زي آخر مثال + +338 +00:39:38,140 --> 00:39:42,160 +أخذناه في المحاضرة الماضية بصير عندي جوس كله + +339 +00:39:42,160 --> 00:39:47,600 +بعتبره variable جديد جوس بيحتوي على X و Y بشيله + +340 +00:39:47,600 --> 00:39:52,500 +بحطه variable وليكن V وبالتالي بصير عندي separable + +341 +00:39:52,500 --> 00:39:56,700 +differential equationوإذا ما كانش وفي الغالب ما + +342 +00:39:56,700 --> 00:40:01,940 +بيكونش وإذا ما كانش بنجي للنقطة الثانية يعني فباجي + +343 +00:40:01,940 --> 00:40:06,600 +بقول لو كان ال a1 في ال b2 لا تساوي ال a2 في ال b1 + +344 +00:40:06,600 --> 00:40:13,030 +شو بنعمل؟ we use the transfer بنعمل تحويلة جديدة شو + +345 +00:40:13,030 --> 00:40:20,210 +التحويل الجديد هذه؟ بحط X small اللي عندي هذه أو X + +346 +00:40:20,210 --> 00:40:26,450 +هذه بـ X كابتل زائد رقم و الـ Y small بـ Y كابتل + +347 +00:40:26,450 --> 00:40:32,240 +زائد رقم مين هو الرقم هذا؟ باجي على المعادلة هذه + +348 +00:40:32,240 --> 00:40:37,380 +و بسويها بالصفر بعد ما أشيل الـ X و أحط مكانها بيه + +349 +00:40:37,380 --> 00:40:41,900 +و أشيل الـ Y و أحط مكانها لكيو و باجي على المعادلة + +350 +00:40:41,900 --> 00:40:46,500 +هذه كمان و بسويها بمين؟ بالصفر يبقى أنا المثل + +351 +00:40:46,500 --> 00:40:53,440 +بمتغير جديد بده اسمي X كابتل زائد الـ P والـ Y أسمه + +352 +00:40:53,440 --> 00:40:58,020 +اللي بدي أسميه Y كابتل زائد Q اللي طالع ثاني دي بعد + +353 +00:40:58,020 --> 00:41:03,760 +هيك بدي أشيل كل X و أحط مكانها X زائد P في + +354 +00:41:03,760 --> 00:41:08,820 +المعادلة هذه و هذا بدي أحط Y كابتل زائد Q والثاني + +355 +00:41:08,820 --> 00:41:12,820 +هذه زيها لما أعمل هيك عارفين إيش بعمل لما أعمل + +356 +00:41:12,820 --> 00:41:18,710 +هذا؟ بطير الثابت اللي عندي C2 وC1 بتخلص من الثوابت + +357 +00:41:18,710 --> 00:41:23,950 +اللي بسببهم للمشكلة لأن وجودهم لو جسمت على X و لو + +358 +00:41:23,950 --> 00:41:27,890 +جسمت على Y بتبطل الصيرة homogenous لكن لما حط + +359 +00:41:27,890 --> 00:41:31,470 +التعويض هذه بيطيروا الثابت لو ما طروش الثوابت + +360 +00:41:31,470 --> 00:41:35,730 +معناته في شغل غلط عندك الغلط في حساب الـ P و الـ Q + +361 +00:41:35,730 --> 00:41:40,440 +أو في التعويض عندك يبقى بعد ذلك تتحول إلى + +362 +00:41:40,440 --> 00:41:45,320 +homogeneous differential equation يعني فائدة هذه + +363 +00:41:45,320 --> 00:41:51,220 +التحولة تحولت المعادلة من non homogeneous إلى + +364 +00:41:51,220 --> 00:41:55,260 +homogeneous differential equation وبالتالي بنروح + +365 +00:41:55,260 --> 00:42:01,160 +نحلها زي ما كنا بنحل المثالين قبل قليل واضح كلامي؟ + +366 +00:42:01,440 --> 00:42:07,620 +يعني هذه الملاحظة أو هذا النوع من المسائل بنلجأ له + +367 +00:42:07,620 --> 00:42:11,620 +إذا طلعت المعادلة اللي عندي ما هي متجانسة زي ما + +368 +00:42:11,620 --> 00:42:16,560 +سألتي قبلها قلت يمكن ما تطلعش متجانسة بقول لك في طرق + +369 +00:42:16,560 --> 00:42:20,680 +أخرى أو في معادلة أخرى بروح أختبرها إيش أخذناه + +370 +00:42:20,680 --> \ No newline at end of file diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/7iThC-B-ye0_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/7iThC-B-ye0_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..dc43c8b8a9021780a8fe564af094fc9351725751 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/7iThC-B-ye0_postprocess.srt @@ -0,0 +1,592 @@ +1 +00:00:04,940 --> 00:00:08,080 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,080 --> 00:00:14,240 +وعلى آله وصحبه وسلم تسليمًا كثيرًا وبعد في هذه + +3 +00:00:14,240 --> 00:00:20,600 +المحاضرة نتناول تجربة السجن عند علي بن الجهم في + +4 +00:00:20,600 --> 00:00:27,160 +قصيدته الدالية والتي قال عنها صاحب العمدة ابن رشيق + +5 +00:00:27,160 --> 00:00:33,060 +وأما علي بن الجهم فرشيق الفهم جيد الشعري وله في + +6 +00:00:33,060 --> 00:00:40,280 +الغزل الرصافيةوفي العتاب الدالية ولو لم يكن له + +7 +00:00:40,280 --> 00:00:46,560 +سواهما لكان أشعر الناس قال فيها وهنا ناخد مجموع من + +8 +00:00:46,560 --> 00:00:52,600 +أبيات هذه القصيدة قالوا حبست فقلت ليس بظائر حبسي + +9 +00:00:52,600 --> 00:01:00,120 +وأي مهند لا يهمده أو ما رأيت ليس يألف غيله كبرا + +10 +00:01:00,120 --> 00:01:07,860 +وأوباس السباع ترددهوالشمس لولا أنها محجوبة عن + +11 +00:01:07,860 --> 00:01:16,240 +نظريك لما أضاء الفرقد والبدر يدرك السرارة فتنجلي + +12 +00:01:16,240 --> 00:01:26,120 +أيامه وكأنه متجدد والغيث + +13 +00:01:26,120 --> 00:01:34,060 +يحصره الغمام فما يراه إلا وريقه يراح ويرعدوالنار + +14 +00:01:34,060 --> 00:01:40,480 +في أحجارها مخبوقة، لا تُصطلى إن لم تثُرها الأزنده، + +15 +00:01:40,480 --> 00:01:49,540 +لا يؤيسنك من تفرج كربة خطب رماك به الزمان الأنكدو، + +16 +00:01:49,540 --> 00:01:58,420 +كم عليل قد تخطاه الردى، فنجى ومات طبيبه والعوده + +17 +00:02:08,280 --> 00:02:14,340 +والحبس ما لم تغشه لدنية شنعاء نعم المنزل المتورد + +18 +00:02:14,340 --> 00:02:24,440 +بيت يجدد للكريم كرامة ويزار فيه ولا يزور ويحفظ لو + +19 +00:02:24,440 --> 00:02:30,200 +لم يكن في السجن إلا أنهلا يستذلك بالحجاب الأعبد + +20 +00:02:30,200 --> 00:02:40,100 +أمن السوية يبن عم محمد خصم تقربه و آخر تبعده قالوا + +21 +00:02:40,100 --> 00:02:49,930 +حبستفقلت ليس بظائر حبسي وأي مهندس لا يغمضهم من + +22 +00:02:49,930 --> 00:02:56,950 +المعلوم أن هدف السجن هو القضاء على إرادة الإنسان + +23 +00:02:56,950 --> 00:03:05,810 +تحطيم الإرادة الإنسانية تحطيم إرادة المسجونوقد + +24 +00:03:05,810 --> 00:03:12,450 +عبّر الشعراء عن الإرادة فيما سبق بمعاني كثيرة أو + +25 +00:03:12,450 --> 00:03:21,330 +بألفاظ كثيرة منها السيف المهند ومنها الأسد + +26 +00:03:21,330 --> 00:03:25,990 +وتعبيرات + +27 +00:03:25,990 --> 00:03:30,390 +كثيرة ومنها الفتاة لكن هنا تلد هذه الكلمات تلد + +28 +00:03:30,390 --> 00:03:32,590 +كلمة مهند + +29 +00:03:34,900 --> 00:03:39,220 +قالوا حبست فقلت + +30 +00:03:39,220 --> 00:03:46,460 +ليس بضائر حبسي وأي مهندل لا يومدهم قالوا الضمير في + +31 +00:03:46,460 --> 00:03:56,130 +قالوا تعود على غائبتحقيراً له ويقصد بذلك الخصوم أو + +32 +00:03:56,130 --> 00:04:05,070 +الوشاء الذين وشوا للخليفة ضد هذا الرجل ضد الشعب + +33 +00:04:05,070 --> 00:04:12,110 +فقلت ليس بظائر حبسي قالوا حبستة يعني قال الشام + +34 +00:04:12,110 --> 00:04:23,110 +تونةأو الوشاء حبست تحقيرا ليه وتشمتا بيه فقلت ليس + +35 +00:04:23,110 --> 00:04:31,070 +لأ فقلت ليس بدائر حبسي هذا الحبس لا يضرني ولا ينقص + +36 +00:04:31,070 --> 00:04:39,430 +من ولا يوقص من كرامتي وقيمتي كما السيف لا ينتقص + +37 +00:04:39,430 --> 00:04:45,900 +عندما يوضع عندما يوضع في غمدهفصفة المضاء والإرادة + +38 +00:04:45,900 --> 00:04:52,820 +والعزيمة لا تزال فيه وكذلك أنا فأنا صاحب إرادة + +39 +00:04:52,820 --> 00:05:02,180 +وصاحب عزيمة أخلاقية فلا يهمني ما يفعل هؤلاء الوشاء + +40 +00:05:02,180 --> 00:05:11,290 +أو الشامتون فالسجن لا يحطم إرادتيصحيح أنه يغيب + +41 +00:05:11,290 --> 00:05:18,110 +جسدي كما الغِمْد، يغيب السيف، ولكن السيف يبقى + +42 +00:05:18,110 --> 00:05:23,830 +سيفًا يرمز إلى الإرادة الصادقة والعزيمة القوية، + +43 +00:05:23,830 --> 00:05:30,510 +وكذلك ليس الأسد أو ما رأيت ليس يألف غيله كبرًا + +44 +00:05:31,310 --> 00:05:40,450 +وأوباث السباعي تردده كذلك الأسد وهنا ذكر الليث وهي + +45 +00:05:40,450 --> 00:05:47,510 +اسم من أسماء الأسد وهذا الاسم إنما هو صفة من صفات + +46 +00:05:47,510 --> 00:05:55,270 +الأسد أو حالة من حالاته وهي الحالة التي ينطلق فيها + +47 +00:05:55,270 --> 00:06:04,050 +على خصمه أو على كدستهبمعنى أن كلمة ليث هي الأسد في + +48 +00:06:04,050 --> 00:06:11,810 +حالة الانطلاق في حالة الهجوم على الفريسة ليث هو ما + +49 +00:06:11,810 --> 00:06:18,510 +رأيت الليس يألى فغيله يعني الليث هو الأسد الذي + +50 +00:06:18,510 --> 00:06:26,580 +ينطلق نحو الفريسةيعني الأسد الذي له إرادة قوية + +51 +00:06:26,580 --> 00:06:34,480 +وصلبة وعزيمة قوية هو ما رأيت ليس يألف غيله والغيل + +52 +00:06:34,480 --> 00:06:42,910 +هو مخبأ الأسد بين الأشجار الملتفةكِبراً فهو يجلس + +53 +00:06:42,910 --> 00:06:51,750 +في غيله كِبراً بينما صغار السباع تتحرك وتتردد على + +54 +00:06:51,750 --> 00:06:59,270 +الجيف بينما هو جالس في عرينه انما الذي منعهم من + +55 +00:06:59,270 --> 00:07:07,500 +الانطلاق الكِبراوالشمس لولا أنها محجوبة عن ناظريك + +56 +00:07:07,500 --> 00:07:15,860 +لما أضاء الفرقد وغياب الشمس لا ينتقص من قيمتها بل + +57 +00:07:15,860 --> 00:07:24,280 +إنه أيضا يزيد النجمة جمالا فغياب الشمس يعطي للفرقد + +58 +00:07:24,280 --> 00:07:34,890 +جمالا و إضاءة و رونقا و روعةلما أضاء الفرقد والبدر + +59 +00:07:34,890 --> 00:07:43,950 +ذلك الظهور الرائع الجميل للقمر لا ينقصه أنه يغيب + +60 +00:07:43,950 --> 00:07:54,010 +حين يكون هلالا أو حين يكون غائبا لأن الغياب يولد + +61 +00:07:54,010 --> 00:08:02,460 +الحاجة إلى رؤية البدر كما قالالشاعر أبو فراص + +62 +00:08:02,460 --> 00:08:11,560 +الحمداني عندما قال وفي الليلة الظلماء يفتقد البدر + +63 +00:08:11,560 --> 00:08:21,040 +والبدر يدرك السرار فتنجلي أيامه وكأنه متجدد فالبدر + +64 +00:08:21,040 --> 00:08:29,620 +في التنقل في هذه الأحوال إنما يزداد جمالابين + +65 +00:08:29,620 --> 00:08:38,660 +الغياب والظهور تتجدد الأيام فيزداد جمالا والغيث + +66 +00:08:38,660 --> 00:08:46,920 +يحصره الغمام فما يرى إلا وريقه يراح ويرعد كذلك + +67 +00:08:46,920 --> 00:08:54,250 +المطر الغيث والعرب تقول عن الغيث مطرايعني تساوي + +68 +00:08:54,250 --> 00:09:00,670 +بين الغيث والمطر لكن القرآن الكريم استعمل الغيث + +69 +00:09:00,670 --> 00:09:07,290 +فقط دون المطرذلك أن المطر يدد في القرآن الكريم في + +70 +00:09:07,290 --> 00:09:14,070 +مواطن العذاب والعقاب أما الغيث في مواطن الرحمة + +71 +00:09:14,070 --> 00:09:21,890 +والخير والغيث يحصره الغمام فما يرى إلا وريقه يراح + +72 +00:09:21,890 --> 00:09:25,810 +يعني يسكب ماءه ويرعده + +73 +00:09:27,440 --> 00:09:34,300 +فهذا الغياب للغيث لا ينقص قيمته ولا روعته وأهميتها + +74 +00:09:34,300 --> 00:09:40,340 +والنار في أحجارها مخبوئة لا تصطلى إن لم تثرها + +75 +00:09:40,340 --> 00:09:46,500 +الأذندهم وكذلك النار هي غائبة في أحجارها لكنها + +76 +00:09:46,500 --> 00:09:53,370 +تظهر عندما تثار الأذند في هذه الحجارةيعني عندما + +77 +00:09:53,370 --> 00:10:04,830 +يضرب الحجر بالزناد تخرج النار فينتفع بها فلا ينقص + +78 +00:10:04,830 --> 00:10:11,730 +النار أنها كانت مخبوقة في الحجارة لا يؤس أنك من + +79 +00:10:11,730 --> 00:10:21,230 +تفرج كربة لا يصيب أنك اليأس من تفرج مصيبة أو كربة + +80 +00:10:22,500 --> 00:10:29,020 +خطب عظيم لأن الخطب العظيم إذا لم يصبر الإنسان عليه + +81 +00:10:29,020 --> 00:10:37,720 +فربما يولد خطبا أعظم فعلى الإنسان أن لا ييأس لأن + +82 +00:10:37,720 --> 00:10:45,160 +اليأس طاقة إيجابية طاقة سلبية تولد طاقات سلبية + +83 +00:10:45,160 --> 00:10:51,420 +أخرى في الإنسان فعلى الإنسان أن يبتعد عن اليأسوعن + +84 +00:10:51,420 --> 00:10:59,500 +أي طاقة سلبية عليه بالصبر والتفاؤل فهذا يقود إلى + +85 +00:10:59,500 --> 00:11:08,860 +أن تتولد في النفس طاقات إيجابيةلا يؤسنك من تفرج + +86 +00:11:08,860 --> 00:11:18,920 +كربة خطب رماك به الزمان الأنكدو ذلك أنه ما من كربة + +87 +00:11:18,920 --> 00:11:25,680 +إلا و بعدها فرجوهذه سنة في الحياة وقانون في الحياة + +88 +00:11:25,680 --> 00:11:36,960 +فبعد العسري يكون اليسر وبعد الضيق يكون الفرج ولذلك + +89 +00:11:36,960 --> 00:11:49,460 +على الإنسان أن يأخذ بخيار الصبر وخيار عدم اليأسكم + +90 +00:11:49,460 --> 00:11:55,660 +من عليل قد تخطاه الردى، فنجى ومات طبيبه والعوده؟ + +91 +00:11:55,660 --> 00:12:03,920 +وهناك حالات كثيرة تصلح أن تولد قانونا، كم من عليل + +92 +00:12:03,920 --> 00:12:10,740 +يعني هناك حالات كثيرة من المرضىقد تخطاهم الردى + +93 +00:12:10,740 --> 00:12:19,840 +تركهم الموت والهلاك فنجوا بينما لحق الموت بالأطباء + +94 +00:12:19,840 --> 00:12:28,460 +والزائرين فنجى ومات طبيبه والعود والعود جمع عائد + +95 +00:12:28,460 --> 00:12:36,610 +وهو الذي يذور المرض صبرايعني اصبر صبرا لأن الصبرة + +96 +00:12:36,610 --> 00:12:47,010 +هو الخيار الأنجع في مواجهة المصائب صبرا يعني اصبر + +97 +00:12:47,010 --> 00:12:52,050 +صبرا مفعول مطلق لفعل محذوف بمعنى اصبر صبرا جميلا + +98 +00:12:52,050 --> 00:13:00,790 +والصبر الجميل هو صبر بلا يأس فسبق أن أشار الشاعر + +99 +00:13:00,790 --> 00:13:11,000 +إلى عدم اليأس لا يؤيسنكهنا تخلى أن يتخلى عنك اليأس + +100 +00:13:11,000 --> 00:13:19,380 +عليك أن تترك اليأس وتأخذ بخيار الصبر فالصبر يكون + +101 +00:13:19,380 --> 00:13:26,380 +جميلًا عندما يكون بلا جزع وأن يصل إلى أعلى الدرجات + +102 +00:13:26,380 --> 00:13:31,540 +صبرًا ولذلك صبرًا هي مفعول مطلق لفعل محذوف يعني + +103 +00:13:31,540 --> 00:13:33,980 +اصبر صبرا رائعًا + +104 +00:13:36,040 --> 00:13:43,860 +لأن هناك حقيقة ثابتة إن الصبر يعقب راحة و هناك + +105 +00:13:43,860 --> 00:13:52,660 +طبعا أيه الفرق بين الجملتين صبرا يعني جملة فعلية + +106 +00:13:52,660 --> 00:14:01,200 +اصبر صبرا وإن الصبر يعقب راحة جملة اسمية والجملة + +107 +00:14:01,200 --> 00:14:08,010 +الاسمية أثبت من الجملة الفعليةكذلك صبرًا تمثل جملة + +108 +00:14:08,010 --> 00:14:15,750 +إنشائية إن الصبر يعقب راحة جملة خبرية وطبعًا الخبر + +109 +00:14:15,750 --> 00:14:24,610 +أقوى من القانون أما الصبر صبرًا فهي موقف إنساني + +110 +00:14:24,610 --> 00:14:27,770 +فإن + +111 +00:14:27,770 --> 00:14:35,100 +الصبر يعقب راحةلدي حقيقة ثابتة تجري في الخلق وفي + +112 +00:14:35,100 --> 00:14:44,100 +الحياة أن بعد الصبر الفرج وبعد العسر اليسر ثم هناك + +113 +00:14:44,100 --> 00:14:53,240 +أمر آخر هو أن الخليفة يعني لا يقصر بل إن يده كريمة + +114 +00:14:53,240 --> 00:15:03,390 +يوزع كرمه وعطاءه على الآخرينويد الخليفة لا تطاولها + +115 +00:15:03,390 --> 00:15:11,790 +يده يعني يد الخليفة ممدودة بالخيرات لا يعني يشبهه + +116 +00:15:11,790 --> 00:15:21,230 +أحد في كرمه وعطاءه والحبس ما لم تغشه لدنيا سنعاء + +117 +00:15:21,230 --> 00:15:28,430 +نعم المنزل المتورد فالحبس لأصحاب المبادئ هو نعم + +118 +00:15:28,430 --> 00:15:35,770 +المنزلالذي يردوا أو يطلبوا أن ينزل إليه الإنسان + +119 +00:15:35,770 --> 00:15:42,490 +إذا كان بسبب المبادئ والقيم والحبس ما لم تغشه + +120 +00:15:42,490 --> 00:15:51,690 +لدنية يعني لجريلة جنائية فهو أفضل المنادل المطلوبة + +121 +00:15:52,710 --> 00:16:01,290 +لأصحاب المبادئ فهو مستعد أن يرد هذا السجن في مقابل + +122 +00:16:01,290 --> 00:16:10,370 +أن يحافظ على مبادئه وقيمهوهو بيت يجدد للكريم كرامة + +123 +00:16:10,370 --> 00:16:17,250 +فهذا السجن يحافظ على كرامة السجين + +124 +00:16:17,250 --> 00:16:24,470 +لأنه سجن من أجل مبادئه وقيمه وهذا هو العنوان + +125 +00:16:24,470 --> 00:16:30,800 +الأبرز في التحليل الأخلاقي لأن الأخلاقفي تحليلها + +126 +00:16:30,800 --> 00:16:38,660 +النهائي تهدفه أو يكون نهايته التضحية فالتضحية هي + +127 +00:16:38,660 --> 00:16:44,160 +التحليل النهائي للأخلاق بخلاف السياسة فإن التحليل + +128 +00:16:44,160 --> 00:16:51,570 +النهائي لها هو المصلحةولذلك قال بيت يجدد للكريم + +129 +00:16:51,570 --> 00:17:00,750 +كرامة فالسجين إنما سجن وضحى بأجمل عمره بأجمل ما + +130 +00:17:00,750 --> 00:17:06,810 +يملكه وهو العمر والزمن يقدمه تضحية من أجل مبادئه + +131 +00:17:06,810 --> 00:17:12,750 +فهو يضحي من أجل المبادئ وهذا يزيد في كرامة السجين + +132 +00:17:12,750 --> 00:17:20,500 +أنه يضحيفمتى ما كان الإنسان مضحيا لمبادئه يكتسب + +133 +00:17:20,500 --> 00:17:29,100 +صفة الكرامة والروعة ثم هو يزاره ولا يزوره يعني + +134 +00:17:29,100 --> 00:17:38,400 +يأتي إليه الناس ويعني يديدون في كرامتنالو لم يكن + +135 +00:17:38,400 --> 00:17:44,980 +في السجن إلا أن .. لكن هناك أمر يعني مؤذن للسجين + +136 +00:17:44,980 --> 00:17:54,200 +وهو يعني أنه يسجن ويعذب على أيدي العبيد الذين + +137 +00:17:54,200 --> 00:17:59,600 +يفتقدون إلى الإرادة الأخلاقية أو المنظومة + +138 +00:17:59,600 --> 00:18:06,150 +الأخلاقيةالعبد لأن العبد هو يعني من فقد الإرادة + +139 +00:18:06,150 --> 00:18:13,170 +إرادة التصرر أو الحرية لا يستدلك بالحجاب الأعبد + +140 +00:18:13,170 --> 00:18:20,490 +فالذي يؤذي في السجن هم العبيد الذين يفتقدون إلى + +141 +00:18:20,490 --> 00:18:29,700 +الإرادة والحريةأمن السوية يبنى عم محمد خصم تقربه و + +142 +00:18:29,700 --> 00:18:37,160 +آخر تبعده طبعا هنا استفاهام مجازي غرضه النفي أمن + +143 +00:18:37,160 --> 00:18:44,800 +السوية يبنى عم محمد خصم تقربه و آخر تبعده يعني ليس + +144 +00:18:44,800 --> 00:18:53,000 +من العدل أن يعني يقرب خصم و يبعد آخرإذ العدالة + +145 +00:18:53,000 --> 00:19:02,020 +تقتضي أن يجمع الخصمين لو يجمعوا الخصمين عندك مشهد + +146 +00:19:02,020 --> 00:19:11,260 +يوما لبان لك الطريق الواضح الطريق الأمصد هذا هو + +147 +00:19:11,260 --> 00:19:14,160 +بالله التوفيق و صلى الله عليه و سلم على نبينا محمد + +148 +00:19:14,160 --> 00:19:17,540 +و على آله و صحبه و سلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/7iThC-B-ye0_raw.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/7iThC-B-ye0_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..dc43c8b8a9021780a8fe564af094fc9351725751 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/7iThC-B-ye0_raw.srt @@ -0,0 +1,592 @@ +1 +00:00:04,940 --> 00:00:08,080 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,080 --> 00:00:14,240 +وعلى آله وصحبه وسلم تسليمًا كثيرًا وبعد في هذه + +3 +00:00:14,240 --> 00:00:20,600 +المحاضرة نتناول تجربة السجن عند علي بن الجهم في + +4 +00:00:20,600 --> 00:00:27,160 +قصيدته الدالية والتي قال عنها صاحب العمدة ابن رشيق + +5 +00:00:27,160 --> 00:00:33,060 +وأما علي بن الجهم فرشيق الفهم جيد الشعري وله في + +6 +00:00:33,060 --> 00:00:40,280 +الغزل الرصافيةوفي العتاب الدالية ولو لم يكن له + +7 +00:00:40,280 --> 00:00:46,560 +سواهما لكان أشعر الناس قال فيها وهنا ناخد مجموع من + +8 +00:00:46,560 --> 00:00:52,600 +أبيات هذه القصيدة قالوا حبست فقلت ليس بظائر حبسي + +9 +00:00:52,600 --> 00:01:00,120 +وأي مهند لا يهمده أو ما رأيت ليس يألف غيله كبرا + +10 +00:01:00,120 --> 00:01:07,860 +وأوباس السباع ترددهوالشمس لولا أنها محجوبة عن + +11 +00:01:07,860 --> 00:01:16,240 +نظريك لما أضاء الفرقد والبدر يدرك السرارة فتنجلي + +12 +00:01:16,240 --> 00:01:26,120 +أيامه وكأنه متجدد والغيث + +13 +00:01:26,120 --> 00:01:34,060 +يحصره الغمام فما يراه إلا وريقه يراح ويرعدوالنار + +14 +00:01:34,060 --> 00:01:40,480 +في أحجارها مخبوقة، لا تُصطلى إن لم تثُرها الأزنده، + +15 +00:01:40,480 --> 00:01:49,540 +لا يؤيسنك من تفرج كربة خطب رماك به الزمان الأنكدو، + +16 +00:01:49,540 --> 00:01:58,420 +كم عليل قد تخطاه الردى، فنجى ومات طبيبه والعوده + +17 +00:02:08,280 --> 00:02:14,340 +والحبس ما لم تغشه لدنية شنعاء نعم المنزل المتورد + +18 +00:02:14,340 --> 00:02:24,440 +بيت يجدد للكريم كرامة ويزار فيه ولا يزور ويحفظ لو + +19 +00:02:24,440 --> 00:02:30,200 +لم يكن في السجن إلا أنهلا يستذلك بالحجاب الأعبد + +20 +00:02:30,200 --> 00:02:40,100 +أمن السوية يبن عم محمد خصم تقربه و آخر تبعده قالوا + +21 +00:02:40,100 --> 00:02:49,930 +حبستفقلت ليس بظائر حبسي وأي مهندس لا يغمضهم من + +22 +00:02:49,930 --> 00:02:56,950 +المعلوم أن هدف السجن هو القضاء على إرادة الإنسان + +23 +00:02:56,950 --> 00:03:05,810 +تحطيم الإرادة الإنسانية تحطيم إرادة المسجونوقد + +24 +00:03:05,810 --> 00:03:12,450 +عبّر الشعراء عن الإرادة فيما سبق بمعاني كثيرة أو + +25 +00:03:12,450 --> 00:03:21,330 +بألفاظ كثيرة منها السيف المهند ومنها الأسد + +26 +00:03:21,330 --> 00:03:25,990 +وتعبيرات + +27 +00:03:25,990 --> 00:03:30,390 +كثيرة ومنها الفتاة لكن هنا تلد هذه الكلمات تلد + +28 +00:03:30,390 --> 00:03:32,590 +كلمة مهند + +29 +00:03:34,900 --> 00:03:39,220 +قالوا حبست فقلت + +30 +00:03:39,220 --> 00:03:46,460 +ليس بضائر حبسي وأي مهندل لا يومدهم قالوا الضمير في + +31 +00:03:46,460 --> 00:03:56,130 +قالوا تعود على غائبتحقيراً له ويقصد بذلك الخصوم أو + +32 +00:03:56,130 --> 00:04:05,070 +الوشاء الذين وشوا للخليفة ضد هذا الرجل ضد الشعب + +33 +00:04:05,070 --> 00:04:12,110 +فقلت ليس بظائر حبسي قالوا حبستة يعني قال الشام + +34 +00:04:12,110 --> 00:04:23,110 +تونةأو الوشاء حبست تحقيرا ليه وتشمتا بيه فقلت ليس + +35 +00:04:23,110 --> 00:04:31,070 +لأ فقلت ليس بدائر حبسي هذا الحبس لا يضرني ولا ينقص + +36 +00:04:31,070 --> 00:04:39,430 +من ولا يوقص من كرامتي وقيمتي كما السيف لا ينتقص + +37 +00:04:39,430 --> 00:04:45,900 +عندما يوضع عندما يوضع في غمدهفصفة المضاء والإرادة + +38 +00:04:45,900 --> 00:04:52,820 +والعزيمة لا تزال فيه وكذلك أنا فأنا صاحب إرادة + +39 +00:04:52,820 --> 00:05:02,180 +وصاحب عزيمة أخلاقية فلا يهمني ما يفعل هؤلاء الوشاء + +40 +00:05:02,180 --> 00:05:11,290 +أو الشامتون فالسجن لا يحطم إرادتيصحيح أنه يغيب + +41 +00:05:11,290 --> 00:05:18,110 +جسدي كما الغِمْد، يغيب السيف، ولكن السيف يبقى + +42 +00:05:18,110 --> 00:05:23,830 +سيفًا يرمز إلى الإرادة الصادقة والعزيمة القوية، + +43 +00:05:23,830 --> 00:05:30,510 +وكذلك ليس الأسد أو ما رأيت ليس يألف غيله كبرًا + +44 +00:05:31,310 --> 00:05:40,450 +وأوباث السباعي تردده كذلك الأسد وهنا ذكر الليث وهي + +45 +00:05:40,450 --> 00:05:47,510 +اسم من أسماء الأسد وهذا الاسم إنما هو صفة من صفات + +46 +00:05:47,510 --> 00:05:55,270 +الأسد أو حالة من حالاته وهي الحالة التي ينطلق فيها + +47 +00:05:55,270 --> 00:06:04,050 +على خصمه أو على كدستهبمعنى أن كلمة ليث هي الأسد في + +48 +00:06:04,050 --> 00:06:11,810 +حالة الانطلاق في حالة الهجوم على الفريسة ليث هو ما + +49 +00:06:11,810 --> 00:06:18,510 +رأيت الليس يألى فغيله يعني الليث هو الأسد الذي + +50 +00:06:18,510 --> 00:06:26,580 +ينطلق نحو الفريسةيعني الأسد الذي له إرادة قوية + +51 +00:06:26,580 --> 00:06:34,480 +وصلبة وعزيمة قوية هو ما رأيت ليس يألف غيله والغيل + +52 +00:06:34,480 --> 00:06:42,910 +هو مخبأ الأسد بين الأشجار الملتفةكِبراً فهو يجلس + +53 +00:06:42,910 --> 00:06:51,750 +في غيله كِبراً بينما صغار السباع تتحرك وتتردد على + +54 +00:06:51,750 --> 00:06:59,270 +الجيف بينما هو جالس في عرينه انما الذي منعهم من + +55 +00:06:59,270 --> 00:07:07,500 +الانطلاق الكِبراوالشمس لولا أنها محجوبة عن ناظريك + +56 +00:07:07,500 --> 00:07:15,860 +لما أضاء الفرقد وغياب الشمس لا ينتقص من قيمتها بل + +57 +00:07:15,860 --> 00:07:24,280 +إنه أيضا يزيد النجمة جمالا فغياب الشمس يعطي للفرقد + +58 +00:07:24,280 --> 00:07:34,890 +جمالا و إضاءة و رونقا و روعةلما أضاء الفرقد والبدر + +59 +00:07:34,890 --> 00:07:43,950 +ذلك الظهور الرائع الجميل للقمر لا ينقصه أنه يغيب + +60 +00:07:43,950 --> 00:07:54,010 +حين يكون هلالا أو حين يكون غائبا لأن الغياب يولد + +61 +00:07:54,010 --> 00:08:02,460 +الحاجة إلى رؤية البدر كما قالالشاعر أبو فراص + +62 +00:08:02,460 --> 00:08:11,560 +الحمداني عندما قال وفي الليلة الظلماء يفتقد البدر + +63 +00:08:11,560 --> 00:08:21,040 +والبدر يدرك السرار فتنجلي أيامه وكأنه متجدد فالبدر + +64 +00:08:21,040 --> 00:08:29,620 +في التنقل في هذه الأحوال إنما يزداد جمالابين + +65 +00:08:29,620 --> 00:08:38,660 +الغياب والظهور تتجدد الأيام فيزداد جمالا والغيث + +66 +00:08:38,660 --> 00:08:46,920 +يحصره الغمام فما يرى إلا وريقه يراح ويرعد كذلك + +67 +00:08:46,920 --> 00:08:54,250 +المطر الغيث والعرب تقول عن الغيث مطرايعني تساوي + +68 +00:08:54,250 --> 00:09:00,670 +بين الغيث والمطر لكن القرآن الكريم استعمل الغيث + +69 +00:09:00,670 --> 00:09:07,290 +فقط دون المطرذلك أن المطر يدد في القرآن الكريم في + +70 +00:09:07,290 --> 00:09:14,070 +مواطن العذاب والعقاب أما الغيث في مواطن الرحمة + +71 +00:09:14,070 --> 00:09:21,890 +والخير والغيث يحصره الغمام فما يرى إلا وريقه يراح + +72 +00:09:21,890 --> 00:09:25,810 +يعني يسكب ماءه ويرعده + +73 +00:09:27,440 --> 00:09:34,300 +فهذا الغياب للغيث لا ينقص قيمته ولا روعته وأهميتها + +74 +00:09:34,300 --> 00:09:40,340 +والنار في أحجارها مخبوئة لا تصطلى إن لم تثرها + +75 +00:09:40,340 --> 00:09:46,500 +الأذندهم وكذلك النار هي غائبة في أحجارها لكنها + +76 +00:09:46,500 --> 00:09:53,370 +تظهر عندما تثار الأذند في هذه الحجارةيعني عندما + +77 +00:09:53,370 --> 00:10:04,830 +يضرب الحجر بالزناد تخرج النار فينتفع بها فلا ينقص + +78 +00:10:04,830 --> 00:10:11,730 +النار أنها كانت مخبوقة في الحجارة لا يؤس أنك من + +79 +00:10:11,730 --> 00:10:21,230 +تفرج كربة لا يصيب أنك اليأس من تفرج مصيبة أو كربة + +80 +00:10:22,500 --> 00:10:29,020 +خطب عظيم لأن الخطب العظيم إذا لم يصبر الإنسان عليه + +81 +00:10:29,020 --> 00:10:37,720 +فربما يولد خطبا أعظم فعلى الإنسان أن لا ييأس لأن + +82 +00:10:37,720 --> 00:10:45,160 +اليأس طاقة إيجابية طاقة سلبية تولد طاقات سلبية + +83 +00:10:45,160 --> 00:10:51,420 +أخرى في الإنسان فعلى الإنسان أن يبتعد عن اليأسوعن + +84 +00:10:51,420 --> 00:10:59,500 +أي طاقة سلبية عليه بالصبر والتفاؤل فهذا يقود إلى + +85 +00:10:59,500 --> 00:11:08,860 +أن تتولد في النفس طاقات إيجابيةلا يؤسنك من تفرج + +86 +00:11:08,860 --> 00:11:18,920 +كربة خطب رماك به الزمان الأنكدو ذلك أنه ما من كربة + +87 +00:11:18,920 --> 00:11:25,680 +إلا و بعدها فرجوهذه سنة في الحياة وقانون في الحياة + +88 +00:11:25,680 --> 00:11:36,960 +فبعد العسري يكون اليسر وبعد الضيق يكون الفرج ولذلك + +89 +00:11:36,960 --> 00:11:49,460 +على الإنسان أن يأخذ بخيار الصبر وخيار عدم اليأسكم + +90 +00:11:49,460 --> 00:11:55,660 +من عليل قد تخطاه الردى، فنجى ومات طبيبه والعوده؟ + +91 +00:11:55,660 --> 00:12:03,920 +وهناك حالات كثيرة تصلح أن تولد قانونا، كم من عليل + +92 +00:12:03,920 --> 00:12:10,740 +يعني هناك حالات كثيرة من المرضىقد تخطاهم الردى + +93 +00:12:10,740 --> 00:12:19,840 +تركهم الموت والهلاك فنجوا بينما لحق الموت بالأطباء + +94 +00:12:19,840 --> 00:12:28,460 +والزائرين فنجى ومات طبيبه والعود والعود جمع عائد + +95 +00:12:28,460 --> 00:12:36,610 +وهو الذي يذور المرض صبرايعني اصبر صبرا لأن الصبرة + +96 +00:12:36,610 --> 00:12:47,010 +هو الخيار الأنجع في مواجهة المصائب صبرا يعني اصبر + +97 +00:12:47,010 --> 00:12:52,050 +صبرا مفعول مطلق لفعل محذوف بمعنى اصبر صبرا جميلا + +98 +00:12:52,050 --> 00:13:00,790 +والصبر الجميل هو صبر بلا يأس فسبق أن أشار الشاعر + +99 +00:13:00,790 --> 00:13:11,000 +إلى عدم اليأس لا يؤيسنكهنا تخلى أن يتخلى عنك اليأس + +100 +00:13:11,000 --> 00:13:19,380 +عليك أن تترك اليأس وتأخذ بخيار الصبر فالصبر يكون + +101 +00:13:19,380 --> 00:13:26,380 +جميلًا عندما يكون بلا جزع وأن يصل إلى أعلى الدرجات + +102 +00:13:26,380 --> 00:13:31,540 +صبرًا ولذلك صبرًا هي مفعول مطلق لفعل محذوف يعني + +103 +00:13:31,540 --> 00:13:33,980 +اصبر صبرا رائعًا + +104 +00:13:36,040 --> 00:13:43,860 +لأن هناك حقيقة ثابتة إن الصبر يعقب راحة و هناك + +105 +00:13:43,860 --> 00:13:52,660 +طبعا أيه الفرق بين الجملتين صبرا يعني جملة فعلية + +106 +00:13:52,660 --> 00:14:01,200 +اصبر صبرا وإن الصبر يعقب راحة جملة اسمية والجملة + +107 +00:14:01,200 --> 00:14:08,010 +الاسمية أثبت من الجملة الفعليةكذلك صبرًا تمثل جملة + +108 +00:14:08,010 --> 00:14:15,750 +إنشائية إن الصبر يعقب راحة جملة خبرية وطبعًا الخبر + +109 +00:14:15,750 --> 00:14:24,610 +أقوى من القانون أما الصبر صبرًا فهي موقف إنساني + +110 +00:14:24,610 --> 00:14:27,770 +فإن + +111 +00:14:27,770 --> 00:14:35,100 +الصبر يعقب راحةلدي حقيقة ثابتة تجري في الخلق وفي + +112 +00:14:35,100 --> 00:14:44,100 +الحياة أن بعد الصبر الفرج وبعد العسر اليسر ثم هناك + +113 +00:14:44,100 --> 00:14:53,240 +أمر آخر هو أن الخليفة يعني لا يقصر بل إن يده كريمة + +114 +00:14:53,240 --> 00:15:03,390 +يوزع كرمه وعطاءه على الآخرينويد الخليفة لا تطاولها + +115 +00:15:03,390 --> 00:15:11,790 +يده يعني يد الخليفة ممدودة بالخيرات لا يعني يشبهه + +116 +00:15:11,790 --> 00:15:21,230 +أحد في كرمه وعطاءه والحبس ما لم تغشه لدنيا سنعاء + +117 +00:15:21,230 --> 00:15:28,430 +نعم المنزل المتورد فالحبس لأصحاب المبادئ هو نعم + +118 +00:15:28,430 --> 00:15:35,770 +المنزلالذي يردوا أو يطلبوا أن ينزل إليه الإنسان + +119 +00:15:35,770 --> 00:15:42,490 +إذا كان بسبب المبادئ والقيم والحبس ما لم تغشه + +120 +00:15:42,490 --> 00:15:51,690 +لدنية يعني لجريلة جنائية فهو أفضل المنادل المطلوبة + +121 +00:15:52,710 --> 00:16:01,290 +لأصحاب المبادئ فهو مستعد أن يرد هذا السجن في مقابل + +122 +00:16:01,290 --> 00:16:10,370 +أن يحافظ على مبادئه وقيمهوهو بيت يجدد للكريم كرامة + +123 +00:16:10,370 --> 00:16:17,250 +فهذا السجن يحافظ على كرامة السجين + +124 +00:16:17,250 --> 00:16:24,470 +لأنه سجن من أجل مبادئه وقيمه وهذا هو العنوان + +125 +00:16:24,470 --> 00:16:30,800 +الأبرز في التحليل الأخلاقي لأن الأخلاقفي تحليلها + +126 +00:16:30,800 --> 00:16:38,660 +النهائي تهدفه أو يكون نهايته التضحية فالتضحية هي + +127 +00:16:38,660 --> 00:16:44,160 +التحليل النهائي للأخلاق بخلاف السياسة فإن التحليل + +128 +00:16:44,160 --> 00:16:51,570 +النهائي لها هو المصلحةولذلك قال بيت يجدد للكريم + +129 +00:16:51,570 --> 00:17:00,750 +كرامة فالسجين إنما سجن وضحى بأجمل عمره بأجمل ما + +130 +00:17:00,750 --> 00:17:06,810 +يملكه وهو العمر والزمن يقدمه تضحية من أجل مبادئه + +131 +00:17:06,810 --> 00:17:12,750 +فهو يضحي من أجل المبادئ وهذا يزيد في كرامة السجين + +132 +00:17:12,750 --> 00:17:20,500 +أنه يضحيفمتى ما كان الإنسان مضحيا لمبادئه يكتسب + +133 +00:17:20,500 --> 00:17:29,100 +صفة الكرامة والروعة ثم هو يزاره ولا يزوره يعني + +134 +00:17:29,100 --> 00:17:38,400 +يأتي إليه الناس ويعني يديدون في كرامتنالو لم يكن + +135 +00:17:38,400 --> 00:17:44,980 +في السجن إلا أن .. لكن هناك أمر يعني مؤذن للسجين + +136 +00:17:44,980 --> 00:17:54,200 +وهو يعني أنه يسجن ويعذب على أيدي العبيد الذين + +137 +00:17:54,200 --> 00:17:59,600 +يفتقدون إلى الإرادة الأخلاقية أو المنظومة + +138 +00:17:59,600 --> 00:18:06,150 +الأخلاقيةالعبد لأن العبد هو يعني من فقد الإرادة + +139 +00:18:06,150 --> 00:18:13,170 +إرادة التصرر أو الحرية لا يستدلك بالحجاب الأعبد + +140 +00:18:13,170 --> 00:18:20,490 +فالذي يؤذي في السجن هم العبيد الذين يفتقدون إلى + +141 +00:18:20,490 --> 00:18:29,700 +الإرادة والحريةأمن السوية يبنى عم محمد خصم تقربه و + +142 +00:18:29,700 --> 00:18:37,160 +آخر تبعده طبعا هنا استفاهام مجازي غرضه النفي أمن + +143 +00:18:37,160 --> 00:18:44,800 +السوية يبنى عم محمد خصم تقربه و آخر تبعده يعني ليس + +144 +00:18:44,800 --> 00:18:53,000 +من العدل أن يعني يقرب خصم و يبعد آخرإذ العدالة + +145 +00:18:53,000 --> 00:19:02,020 +تقتضي أن يجمع الخصمين لو يجمعوا الخصمين عندك مشهد + +146 +00:19:02,020 --> 00:19:11,260 +يوما لبان لك الطريق الواضح الطريق الأمصد هذا هو + +147 +00:19:11,260 --> 00:19:14,160 +بالله التوفيق و صلى الله عليه و سلم على نبينا محمد + +148 +00:19:14,160 --> 00:19:17,540 +و على آله و صحبه و سلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/AXkgumImG1k.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/AXkgumImG1k.srt new file mode 100644 index 0000000000000000000000000000000000000000..0a74ab88e4f9b5e7934152d3c64626ad52a896b1 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/AXkgumImG1k.srt @@ -0,0 +1,790 @@ +1 +00:00:06,610 --> 00:00:09,890 +باسم الله الرحمن الرحيم و أصلّي و أسلم على نبينا + +2 +00:00:09,890 --> 00:00:16,270 +محمد و على آله و صحبه و أسلم تسليما كثيرا و بعد، في + +3 +00:00:16,270 --> 00:00:25,450 +هذه المحاضرة نتناول شخصية شعرية كانت من أهم + +4 +00:00:25,450 --> 00:00:34,910 +القامات الشعرية في هذا العصر، وهي شخصية أبو نواس + +5 +00:00:37,540 --> 00:00:46,920 +وأبو نواس اشتهر في هذا العصر بالشعر الغزل واللهو + +6 +00:00:46,920 --> 00:00:53,560 +والمجون، فهو علم من أعلام شعراء المجون في هذا العصر + +7 +00:00:53,560 --> 00:01:01,700 +ولذلك جعلناه علمًا من أعلام الشعر في هذا العصر، هناك + +8 +00:01:01,700 --> 00:01:09,690 +مجموعة من العوامل التي أثرت في شاعريته، العام الأول + +9 +00:01:09,690 --> 00:01:18,370 +هو نسبه غير عربي، ولد أبو نواس عام تسع وثلاثين ومئة + +10 +00:01:18,370 --> 00:01:27,930 +للهجرة من أبوين فارسيين في مدينة الأهواز، وأثيرت + +11 +00:01:27,930 --> 00:01:37,560 +حوله شبهات كثيرة، قيل إن أباه كان عربيا، وقوى حجته + +12 +00:01:37,560 --> 00:01:48,500 +بأن كنيته هي كنيه يمانية، لأن هذه الكنية تستعمل في + +13 +00:01:48,500 --> 00:01:57,100 +اليمن، أبو نواس، العمل الثاني هو اليتم، فقد توفي + +14 +00:01:57,100 --> 00:02:05,270 +أبوه وهو في السادسة من عمره، ثم قامت برعايته أمه + +15 +00:02:05,270 --> 00:02:12,210 +فانتقلت به إلى البصرة وقامت بتربيته، فحافظ القرآن + +16 +00:02:12,210 --> 00:02:19,270 +وأطرافا من الشعر، وقد ذكرنا من قبل أنه كان يحفظ + +17 +00:02:19,270 --> 00:02:27,700 +ستين ديوانًا من دواوين النساء غير ما كان يحفظهم من + +18 +00:02:27,700 --> 00:02:36,000 +شعر الرجال، وكان يحفظ سبعمائة أرجوزة غير ما كان + +19 +00:02:36,000 --> 00:02:44,900 +يحفظهم من القصيد، وقال فيه الجاحظ: لم أرَ أحدًا أعلم + +20 +00:02:44,900 --> 00:02:53,170 +بالشعر من أبي نواس، أو كما قال ابن قتيبة، عفوا، العمل + +21 +00:02:53,170 --> 00:02:57,530 +الثالث هو الاهتمام بحلقات العلم، كان يتردد على + +22 +00:02:57,530 --> 00:03:01,850 +حلقات العلم في دراسة علوم اللغة العربية والدين + +23 +00:03:01,850 --> 00:03:06,990 +والفقه والتفسير والحديث، حتى إنه كان عالمًا بالفتوى، + +24 +00:03:06,990 --> 00:03:14,690 +بصيرًا بالاختلاف، صاحب نظر وحفظ ومعرفة بطرق الحديث + +25 +00:03:14,690 --> 00:03:19,550 +يعرف الناسخ والمنسوخ والمحكم والمتشابه من القرآن + +26 +00:03:19,550 --> 00:03:25,950 +الكريم، كما طلب علم الكلام، حتى إنه قيل إنه بدأ + +27 +00:03:25,950 --> 00:03:31,010 +متكلمًا، ثم انتقل إلى نظم الشعر، وهذا الكم من + +28 +00:03:31,010 --> 00:03:38,250 +العلم يظهر أنه كان ذا ثقافة عالية وشخصية غنية + +29 +00:03:38,250 --> 00:03:44,960 +بالتنوع، لا التناقض كما يظن البعض، فشخصية ابن واس + +30 +00:03:44,960 --> 00:03:53,720 +شخصية فيها تنوع وليس تناقض، هذا التنوع أوجد لديه + +31 +00:03:53,720 --> 00:04:02,080 +صراعًا داخليًا، فتارة تغلب عليه نزعة الزهد، وتارة تغلب + +32 +00:04:02,080 --> 00:04:09,000 +عليه نزعة المجون واللهو، حتى غلب عليه الزهد في آخر + +33 +00:04:09,000 --> 00:04:17,570 +حياته ومات عليه، لأن مقومات الذهب ودافعية الثقافة + +34 +00:04:17,570 --> 00:04:24,670 +الإسلامية هي التي تغلبت وانتصرت في آخر المطاف، وفي + +35 +00:04:24,670 --> 00:04:30,450 +الجولة الأخيرة، وسنتناول ذلك في حينه إن شاء الله + +36 +00:04:30,450 --> 00:04:38,940 +اطلاعه على ثقافات عصره، فقد كان مثقفًا عالي التثقيف + +37 +00:04:38,940 --> 00:04:46,760 +و ساعدته إجادته للغة الفارسية على التبحر في ثقافة + +38 +00:04:46,760 --> 00:04:52,780 +الفارسية وغيرها من الثقافات، كان أبو نواس مليح + +39 +00:04:52,780 --> 00:04:58,280 +الوجه وله قبول عند الناس + +40 +00:05:00,530 --> 00:05:08,770 +هناك عامل آخر ربما يكون سلبيًا في حياة أبي نواس وهو + +41 +00:05:08,770 --> 00:05:17,590 +سيرة أمه واتصاله بوالدة ابن الحباب، أحد المجان في + +42 +00:05:17,590 --> 00:05:24,540 +هذا العصر، فهذا هو الذي ربما يعني يرجع إليه إفساد + +43 +00:05:24,540 --> 00:05:33,420 +أبي نواس، كما أن سيرة أمه لم تعجبه، فربما كانت هي + +44 +00:05:33,420 --> 00:05:43,440 +الدافع وراء انحرافه نحو المجون ومرافقة المجان + +45 +00:05:43,440 --> 00:05:53,160 +وأصحاب اللهو، فأخذ يعني يعبئ الخمر كينس همومه، فكان + +46 +00:05:53,160 --> 00:06:00,680 +كالمستجير من الرمضاء بالنار، تفتقت + +47 +00:06:00,680 --> 00:06:05,820 +شعريته أبن نواس مبكرًا، ويعاد من أعجيب عصره في الشعر + +48 +00:06:05,820 --> 00:06:10,520 +كان يملك قريحة شعرية سقلها بالدرس الطويل للشعر + +49 +00:06:10,520 --> 00:06:17,610 +القديم واللغة العربية، وغزّاه بالمحتوى الإسلامي + +50 +00:06:17,610 --> 00:06:22,390 +والثقافة الإسلامية وغيرها من ثقافات عصره، قال + +51 +00:06:22,390 --> 00:06:30,910 +الجاحظ: ما رأيت أحدًا أعلم باللغة من أبي نواس، وقدمت + +52 +00:06:30,910 --> 00:06:34,330 +شخصيته في اتجاهين، اتجاه يحافظ على التقاليد + +53 +00:06:34,330 --> 00:06:41,730 +الموضوعة دون أن يسقط أو يشتط في التجديد، وهذا ما + +54 +00:06:41,730 --> 00:06:47,890 +نراه في مدائحه وأراجيزه ومرثيه، واتجاه يجدد فيه + +55 +00:06:47,890 --> 00:06:53,570 +تجديدًا واسعًا في المعاني والألفاظ، وهذا ما نلاحظه في + +56 +00:06:53,570 --> 00:07:01,070 +أهاجيه وغزلياته وخمرياته، أما بالنسبة لموضوعات شعره + +57 +00:07:01,070 --> 00:07:10,450 +فنبدأ بقصيدة المدح، فكان أبو نواس يمدح حسب الممدوح، + +58 +00:07:10,450 --> 00:07:19,170 +أي يراعي الممدوح في المعاني التي يصف بها هذا + +59 +00:07:19,170 --> 00:07:22,610 +الممدوح، وكان + +60 +00:07:25,890 --> 00:07:37,530 +هذه المراعاة ناشئة من عبقرية أبي نواس وسليقته + +61 +00:07:37,530 --> 00:07:45,610 +وامتلاكه للمقومات والمقدرات الأسلوبية والفنية + +62 +00:07:45,610 --> 00:07:47,190 +والثقافية + +63 +00:07:49,160 --> 00:07:54,060 +فمثلا يلتزم بالمقدمة الطلالية التقليدية في مدائحه + +64 +00:07:54,060 --> 00:08:00,400 +لكنه لا يطيل فيها، وهذه علامة فارقة بينه وبين بشار + +65 +00:08:00,400 --> 00:08:09,000 +بن برد، فنراه يمدح الخصيب فيقول في المقدمة أجارة + +66 +00:08:09,000 --> 00:08:17,490 +ببيتين: أبوك غيور وميسور، ما يرجى لديك عسير، ويقول في + +67 +00:08:17,490 --> 00:08:23,950 +مدح الأمين: يا دار ما فعلت بك الأيام، لم تبق فيك + +68 +00:08:23,950 --> 00:08:30,830 +بشاشة تستام، أما فيما يتعلق بمعانيه، يعني معاني + +69 +00:08:30,830 --> 00:08:35,450 +المدح، نجدّه دائما ايه؟ أو غالبًا يبالغ في صفات + +70 +00:08:35,450 --> 00:08:43,330 +الممدوح، كما يقول في الرشيد: وأخفت أهل الشرك حتى إنه + +71 +00:08:43,330 --> 00:08:50,750 +لتخافك النطف التي لم تخلقِ، ويقول في الرشيد أيضًا: ملك + +72 +00:08:50,750 --> 00:08:59,010 +تصور في القلوب مثاله فكأنه لم يخل منه مكانٌ، ومن + +73 +00:08:59,010 --> 00:09:07,610 +مبلغاته، تصويره الطريف لبعض ممدحيه فيقول: تغطيت من + +74 +00:09:07,610 --> 00:09:16,410 +دهري بظل جناحه، فعيني ترا دهري وليس يرانِي، فلو تسأل + +75 +00:09:16,410 --> 00:09:23,410 +الأيام ما اسمي لما درت، وأين مكاني ما عرفنا مكاني + +76 +00:09:23,410 --> 00:09:27,270 +ونرى + +77 +00:09:27,270 --> 00:09:33,350 +أبا نواس يستعمل الألفاظ السهلة التي تموج نعمة ورقة + +78 +00:09:33,350 --> 00:09:41,430 +وخفة، وذلك إذا كان على علاقة حميمة مع الممدوح، كما في + +79 +00:09:41,430 --> 00:09:49,250 +مدح الأمين، يقول: أضحى الإمام محمد للدين نورًا يقتبس + +80 +00:09:49,250 --> 00:09:56,940 +تبكي البدور لضحكه والسيف يضحك إن عبس، وطبعا البدور + +81 +00:09:56,940 --> 00:10:09,740 +جمع بدرة، وهي كيث فيه مبلغ معين من المال، نلاحظ + +82 +00:10:09,740 --> 00:10:16,380 +الألفاظ سهلة واضحة عذبة، لا غموضة فيها ولا غربة + +83 +00:10:16,380 --> 00:10:19,460 +وأيضا + +84 +00:10:21,700 --> 00:10:29,700 +نراه إذا في المدح يتميز بهذه الميزات الثلاث + +85 +00:10:29,700 --> 00:10:35,220 +الالتزام أحيانًا بالمقدمة الطلالية، ولكنه لا يطيل + +86 +00:10:35,220 --> 00:10:42,780 +فيها، والشيء الثاني أنه يبالغ في التصوير، والشيء + +87 +00:10:42,780 --> 00:10:50,980 +الثالث سهولة الألفاظ وعدم غموضها في المعاني، وأيضا + +88 +00:10:50,980 --> 00:10:56,140 +البعد عن الكلمات الغريبة، وهذا البعد عن الكلمات + +89 +00:10:56,140 --> 00:11:02,000 +الغريبة ليس جهلا في اللغة عند أبي نواس، وإنما كان + +90 +00:11:02,000 --> 00:11:11,780 +يلائم بين الممدوح والألفاظ والمعاني، وقد رأينا أن + +91 +00:11:11,780 --> 00:11:17,580 +كما قال الجاحظ: لم أرَ أحدًا أعلم باللغة من أبلي نواس + +92 +00:11:17,580 --> 00:11:27,400 +فليس معنى أنه يأتي بألفاظ سهلة أنه لا يعرف الكلمات + +93 +00:11:27,400 --> 00:11:32,700 +الغريبة أو أنه يجهل الأساليب القوية، لأ إنما هذا + +94 +00:11:32,700 --> 00:11:38,690 +يدل على شاعريته، لأنه يخاطب ويستعمل من اللغة ما + +95 +00:11:38,690 --> 00:11:44,350 +يناسبها ومن الممدوحين وما يناسبهم من الألفاظ + +96 +00:11:44,350 --> 00:11:52,170 +والمعاني من + +97 +00:11:52,170 --> 00:12:02,710 +أكثر الموضوعات التي تقرب أبو نواس التي تقرب أبو + +98 +00:12:02,710 --> 00:12:11,240 +نواس من القديم هو شعر الطرد أو شعر الصيد، فمن خلال + +99 +00:12:11,240 --> 00:12:19,340 +هذه القصيدة نستطيع أن نعرف أن أبا نواس كان على + +100 +00:12:19,340 --> 00:12:28,380 +علاقة قوية وخبرة عظيمة باللغة وغريبها، ففي إحدى + +101 +00:12:28,380 --> 00:12:34,900 +طردياته يبدو أبو نواس كما لو كان شاعرًا من شعراء + +102 +00:12:34,900 --> 00:12:41,720 +البدو في العصر الأموي كأبي نخيلة والشمردل، يقول + +103 +00:12:41,720 --> 00:12:51,300 +مثلا في ترضياته، في أحد ترضياته: لما تبد الصبح من + +104 +00:12:51,300 --> 00:12:58,720 +حجابه كطلعة الأشمط من جلبابه، وانعدل الليل إلى مقابه + +105 +00:12:58,720 --> 00:13:08,780 +كالحبشي افتر عن أنيابه، هجنا بكلب طالما هجنا به + +106 +00:13:08,780 --> 00:13:16,780 +ينتسف المقودة من كلابه، كأن متنيه لدى انسرابه متنا + +107 +00:13:16,780 --> 00:13:24,750 +شجاع لجّ في انسيابه، كأنما الأظفور في قنابه موسى + +108 +00:13:24,750 --> 00:13:33,370 +صناع ردّ في نصابه، كأن نصا ما توكلنا به يعفو على ما + +109 +00:13:33,370 --> 00:13:40,950 +جرّ من ثيابه، ترى سوام الوحش يحتوي به يروحنا أسرى + +110 +00:13:40,950 --> 00:13:48,650 +ذفره ونابه، ففي هذه الطردية أو هذه القصيدة نرى أن + +111 +00:13:48,650 --> 00:13:58,790 +أبا نواس يبدو كما لو كان شاعرًا عربيًا بدويًا يلبس + +112 +00:13:58,790 --> 00:14:05,630 +بجاد البدوي، ويظهر ذلك من خلال هذه الكلمات التي + +113 +00:14:05,630 --> 00:14:09,530 +يستعملها + +114 +00:14:09,530 --> 00:14:12,190 +شعراء البادية + +115 +00:14:17,040 --> 00:14:27,520 +فطبعًا هذه الكلمات يعني كثيرة مثل كلمة الأشمط وإن + +116 +00:14:27,520 --> 00:14:36,190 +عدلة وفترة وهجنة وانسرابه + +117 +00:14:36,190 --> 00:14:45,570 +الأذفور القناب يعفو كل هذه كلمات كلمات بدوية تظهر + +118 +00:14:45,570 --> 00:14:48,450 +في شعر الأعراب أو البدو + +119 +00:14:53,930 --> 00:15:01,830 +أما قصيدة الرثاء، فهي اختار لها أبو نواس أسلوبًا جزلا + +120 +00:15:01,830 --> 00:15:06,690 +مسؤولًا، وربما يأتي بالكلمات الغريبة خاصة إذا كان + +121 +00:15:06,690 --> 00:15:14,000 +الميت لغويًا، وقد يتخفف من ذلك أحيانًا، يقول في رثاء + +122 +00:15:14,000 --> 00:15:22,020 +عالم اللغة خلف الأحمر: أودى جماع العلم إذ أودى خلف + +123 +00:15:22,020 --> 00:15:28,820 +من لا يعد العلم إلا ما عرف، كنا متى ما ندن منه + +124 +00:15:28,820 --> 00:15:37,920 +نغترف رواية لا تجتنينا من الصحف، أما إذا كانت العلاقة + +125 +00:15:37,920 --> 00:15:47,840 +بينه وبين الميت علاقة حميمية، فنرى القصيدة تشتعل + +126 +00:15:47,840 --> 00:15:56,480 +باللوعة والحرارة وتتميز بالصدق في مثل قوله يرثي + +127 +00:15:56,480 --> 00:16:04,180 +الأمين: طوى الموت ما بيني وبين محمد، وليس لما تطوي + +128 +00:16:04,180 --> 00:16:13,780 +المنية ناشرها، فلا وصل إلا عبرة تستديمها أحاديث نفس + +129 +00:16:13,780 --> 00:16:21,980 +ما لها الدهر ذاكره، وكنت عليه أحذر الموت وحده، فلم + +130 +00:16:21,980 --> 00:16:29,340 +يبقى لي شيء عليه أحذره، لإن عمرت دور بمن لا أوده + +131 +00:16:29,340 --> 00:16:33,000 +لقد عمرت ممن أحب المقابر + +132 +00:16:35,780 --> 00:16:43,800 +فنلاحظ هنا أن المعاني صادقة نابعة من تجربة صادقة + +133 +00:16:43,800 --> 00:16:53,240 +وكأنه بالموت واعظ، وغالبًا ما يكون شعر الرثاء صادق + +134 +00:16:53,240 --> 00:17:00,300 +صادقًا، فكيف إذا كان أيضًا أو أضفنا سببًا آخر وهو + +135 +00:17:00,300 --> 00:17:05,740 +العلاقة الحميمية بين الشاعر والمرثى + +136 +00:17:10,110 --> 00:17:20,230 +كذلك نرى أن اللغة أو الأسلوب يكاد يكون أقوى وأجزل + +137 +00:17:20,230 --> 00:17:27,050 +مما رأيناه في شعر المجنون واللهو، مثلا، أما قصيرة + +138 +00:17:27,050 --> 00:17:31,450 +الهجاء، فنلاحظ في هذا الموضوع أن أبا نواس لم يقف + +139 +00:17:31,450 --> 00:17:36,620 +عند حدود سلب القيمة الخلقية من المهجو، بل نراه يجعل + +140 +00:17:36,620 --> 00:17:43,020 +من المهجوء أضحوكة يتندر بها، في مثل قوله يهجو + +141 +00:17:43,020 --> 00:17:51,400 +إسماعيل ابن نوبخت، يقول: خبز إسماعيل كالوشي، إذا من + +142 +00:17:51,400 --> 00:18:00,450 +شقه يرفع، عجبًا من أثر الصنعة فيه، كيف يُخفى إن رفاقك + +143 +00:18:00,450 --> 00:18:08,450 +هذا ألطف الأمة كفة، فهنا الشاعر لا يقف عند سلب + +144 +00:18:08,450 --> 00:18:15,550 +المهجو أو سلب الرذائل من .. سلب الفضاء من المهجو + +145 +00:18:15,550 --> 00:18:20,710 +والساق الرذائل به، فلم يعني .. فلم يقف عند وصيه + +146 +00:18:20,710 --> 00:18:31,430 +بالبخل، إنما جعله أضحوكة ويتندر بها، فعندما + +147 +00:18:31,430 --> 00:18:37,250 +قال: خبز إسماعيل كالوشي، يعني كالثوب الموشي المطرز + +148 +00:18:37,250 --> 00:18:43,140 +المُجمّل بأنواع الوشي اللي هو التطريز، وهذا دليل عليه + +149 +00:18:43,140 --> 00:18:53,400 +على أنه يعظم الخبز ويجمله، لأن الخبز لديه مقدس + +150 +00:18:53,400 --> 00:19:02,440 +ومعظم وتعميم للبخل، قال: عجبا من أثر صنعة فيه كيف + +151 +00:19:02,440 --> 00:19:10,070 +يُخفى، يعني أنه حريص على أن يبقى رغيف الخبز كاملاً + +152 +00:19:10,070 --> 00:19:18,850 +غير منقوص، وإذا كسر يعيده ويلسقه بطريقة ماهرة كما + +153 +00:19:18,850 --> 00:19:26,850 +يفعل الرفاء الذي يصلح الثياب، لأنه يزيل أماكن العيب + +154 +00:19:26,850 --> 00:19:30,430 +فيه بطريقة ماهرة + +155 +00:19:33,640 --> 00:19:40,960 +أما فيما يتعلق بالمقدمة الطلالية، فإن أبا نواس دعا + +156 +00:19:40,960 --> 00:19:50,000 +إلى ترك المقدمة الطلالية في أكثر من مكان، ولكن هذه + +157 +00:19:50,000 --> 00:19:57,700 +الدعوة لم تلقَ استجابة في هذا العصر، ولكنها مهدت ل + +158 +00:19:58,700 --> 00:20:07,080 +مهدت هذه الدعوة لترك المقدمة في العصور اللاحقة + +159 +00:20:07,080 --> 00:20:17,980 +وزعزعت أيضًا الشعراء في أهمية هذه المقدمة، يقول أبو + +160 +00:20:17,980 --> 00:20:26,270 +نواس: لا تبكي ليلة ولا تطرب إلى هندي، واشرب على الورد + +161 +00:20:26,270 --> 00:20:34,010 +من حمراء كالورد كأسًا إذا حضرت في قلب شاربها أجدته + +162 +00:20:34,010 --> 00:20:40,350 +حمرتها في العين والخَدّ، فالخمر ياقوتة والكأس لؤلؤة + +163 +00:20:40,350 --> 00:20:47,510 +في كفّ جارية ممشوقة القَدّ تسقيك من يدها خمرًا ومن + +164 +00:20:47,510 --> 00:20:51,830 +فمها خمرًا، فما لك من سكرين من بده + +165 +00:20:54,780 --> 00:21:02,940 +فما لك من سكريني من بدي، أيضًا يقول: عاج الشقي على + +166 +00:21:02,940 --> 00:21:11,240 +رسم يسائله وعزته، أسأل عن خمارة البلدي، يبكي على طلل + +167 +00:21:11,240 --> 00:21:17,600 +الماضين من أسدٍ لا درّذ الركه، قل لي من بنوا أسدي + +168 +00:21:18,210 --> 00:21:25,630 +داعذا عدمتك واشربها معتقة صفراء، تفرّق بين الروح + +169 +00:21:25,630 --> 00:2 + +201 +00:25:15,170 --> 00:25:22,390 +أبي بكر الصولي وطريق حمزة الأصفهاني وورد هذا الشعر + +202 +00:25:22,390 --> 00:25:32,490 +من طريقين يدل على صحة نسبته إلى أبي نواس هذا + +203 +00:25:32,490 --> 00:25:39,410 +الشيء الثالث أن هذا الشعر الزهد ليسفي + +204 +00:25:39,410 --> 00:25:48,070 +يعني ليس خارج التوقع بل إنه نتيجة منطقية لذلك + +205 +00:25:48,070 --> 00:25:55,370 +الصراع الداخل الذي كان يشتغل أو يشتعل في نفس ابن + +206 +00:25:55,370 --> 00:26:03,490 +نواس إنه صراع بين قوة الخير وقوة الشر أو قيم الخير + +207 +00:26:03,490 --> 00:26:11,870 +وقيم الشر، الثقافة الإسلامية التي ترعرع فيها أبو + +208 +00:26:11,870 --> 00:26:24,050 +نواس لم تكن فترة هينة بل كانت قوية جدا وغزيرة جدا + +209 +00:26:24,050 --> 00:26:32,950 +ولذلك كانت صحوة الضمير عند أبي نواس قوية جدا القوة + +210 +00:26:32,950 --> 00:26:43,870 +الثقافة الكامنة في نفسه وسعتها وشمولها لكل مناحي + +211 +00:26:43,870 --> 00:26:51,150 +مكوناته النفسية والثقافية فليس + +212 +00:26:51,150 --> 00:26:58,630 +غريبًا أن يكون زاهدًا إنما الغريب أن يكون غير ذلك + +213 +00:27:01,790 --> 00:27:10,130 +أيضًا يلاحظ أن شعر الزهد عند أبي نواس هو نتيجة + +214 +00:27:10,130 --> 00:27:15,430 +نتيجة إيه؟ رد فعل عنيفة وقوية أقوى من المجنون اللي + +215 +00:27:15,430 --> 00:27:23,040 +هو اللهو والتعابس الذي غرق فيه لفترة من الزمن كذلك + +216 +00:27:23,040 --> 00:27:30,800 +ما يؤكد على أن الزهد هو حقيقة عند أبي نواس أنه جاء + +217 +00:27:30,800 --> 00:27:36,880 +متوافقا أو موافقا لتعاليم الإسلام ولم يطعن في شعره + +218 +00:27:36,880 --> 00:27:46,240 +أحد أو أعابه أو انتقده، فيقول مثلا يا طالب الدنيا + +219 +00:27:46,240 --> 00:27:53,820 +ليجمعها جمحت بك الآمال فاقتصدي والقصد أحسن ما عملت + +220 +00:27:53,820 --> 00:27:59,680 +به فاسلك سبيل الخير واجتهدي وعمل لدار أن تجعلها + +221 +00:27:59,680 --> 00:28:02,500 +دار المقامة آخر الأبد + +222 +00:28:05,640 --> 00:28:14,360 +إذا الزهد عند أبي نواس زهد إسلامي وحقيقي وليس + +223 +00:28:14,360 --> 00:28:22,100 +منتحلاً وليس خارجا عن دائرة التوقع فهو شيء متوقع + +224 +00:28:22,100 --> 00:28:28,640 +متوقع وشيء أصيل بأصالة الثقافة الإسلامية الموجودة + +225 +00:28:28,640 --> 00:28:36,320 +في نفسه والتي تلقاها في مساجد البصرة وحفظه للقرآن + +226 +00:28:36,320 --> 00:28:42,880 +والحديث والشعر العربي فهذا دليل على أن الزهد هو + +227 +00:28:42,880 --> 00:28:47,760 +حقيقة وليس أسطورة + +228 +00:28:50,830 --> 00:28:55,070 +هذا وبالله التوفيق وصلى اللهم على نبينا محمد وعلى + +229 +00:28:55,070 --> 00:28:58,390 +آله وصحبه وسلم تسليما كثيرا diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/AXkgumImG1k_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/AXkgumImG1k_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..3d3a36d4e5f7293d03c15e60693be7dfa17153f2 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/AXkgumImG1k_postprocess.srt @@ -0,0 +1,916 @@ +1 +00:00:06,610 --> 00:00:09,890 +باسم الله الرحمن الرحيم و أصلّي و أسلم على نبينا + +2 +00:00:09,890 --> 00:00:16,270 +محمد و على آله و صحبه و أسلم تسليما كثيرا و بعد في + +3 +00:00:16,270 --> 00:00:25,450 +هذه المحاضرة نتناول شخصية شاعرية كانت من أهم + +4 +00:00:25,450 --> 00:00:34,910 +القامات الشعرية في هذا العصر وهي شخصية أبو نواز + +5 +00:00:37,540 --> 00:00:46,920 +وأبو نواز أشتهر في هذا العصر بالشعري الغزل واللهو + +6 +00:00:46,920 --> 00:00:53,560 +والمجون فهو علم من أعلام شعراء المجون في هذا العصر + +7 +00:00:53,560 --> 00:01:01,700 +ولذلك جعلناه علما من أعلام الشعر في هذا العصر هناك + +8 +00:01:01,700 --> 00:01:09,690 +مجموعة من العوامل التي أثرت في شاعريتهالعام الأول + +9 +00:01:09,690 --> 00:01:18,370 +هو نسبه غير عربي ولد أبو نواس عام تسع وثلاثين ومئة + +10 +00:01:18,370 --> 00:01:27,930 +للهجرة من أبوينه فارسيين في مدينة الأهواز وأثيرت + +11 +00:01:27,930 --> 00:01:37,560 +حوله شبهات كثيرةقيل إن أباه كان عربيا وقوى حجته + +12 +00:01:37,560 --> 00:01:48,500 +بأن كنيته هي كنيه يمانية لأن هذه كنيه تستعمل في + +13 +00:01:48,500 --> 00:01:57,100 +اليمن ابو نواس العمل الثاني هو اليهتم فقد توفي + +14 +00:01:57,100 --> 00:02:05,270 +أبوه و هو في السادسة من عمرهثم قامت برعايته أمه + +15 +00:02:05,270 --> 00:02:12,210 +فانتقلت به إلى البصرة وقامت بتربيته فحافظ القرآن + +16 +00:02:12,210 --> 00:02:19,270 +وأطرافا من الشعر وقد ذكرنا من قبل أنه كان يحفظ + +17 +00:02:19,270 --> 00:02:27,700 +ستين ديوانا من دواوين النساءغير ما كان يحفظهم من + +18 +00:02:27,700 --> 00:02:36,000 +شعري الرجال وكان يحفظ سبعمائة أرجودة غير ما كان + +19 +00:02:36,000 --> 00:02:44,900 +يحفظهم من القصيد وقال فيه الجاحظ لم أرى أحد أعلم + +20 +00:02:44,900 --> 00:02:53,170 +بالشعري من أبي نواز أو كما قال ابن قتيبة عفواالعمل + +21 +00:02:53,170 --> 00:02:57,530 +الثالث هو الاختلاف إلى حلقات العلم كان يتردد على + +22 +00:02:57,530 --> 00:03:01,850 +حلقات العلم في دراسة علوم اللغة العربية والدين + +23 +00:03:01,850 --> 00:03:06,990 +والفقه والتفسير والحديث حتى إنه كان عالمًا بالفتية + +24 +00:03:06,990 --> 00:03:14,690 +بصيرًا بالاختلاف صاحب نظر وحفظ ومعرفة بطرق الحديث + +25 +00:03:14,690 --> 00:03:19,550 +يعرف الناسخ والمنسوخ والمحكم والمتشابه من القرآن + +26 +00:03:19,550 --> 00:03:25,950 +الكريمكما طلب علم الكلام، حتى إنه قيل إنه بدأ + +27 +00:03:25,950 --> 00:03:31,010 +متكلمًا، ثم انتقل إلى نظم الشعر، وهذا الكم من + +28 +00:03:31,010 --> 00:03:38,250 +العلم يظهر أنه كان ذا ثقافة عالية وشخصية غنية + +29 +00:03:38,250 --> 00:03:44,960 +بالتنوع، لا التناقضكما يظن البعض فشخصية ابن واس + +30 +00:03:44,960 --> 00:03:53,720 +شخصية فيها تنوع وليس تناقض هذا التنوع أوجد لديه + +31 +00:03:53,720 --> 00:04:02,080 +صراع داخليًا فتارة تغلب عليه نزعة الزهد وتارة تغلب + +32 +00:04:02,080 --> 00:04:09,000 +عليه نزعة المجون واللهو حتى غلب عليه الزهد في آخر + +33 +00:04:09,000 --> 00:04:17,570 +حياته ومات عليهلأن مقومات الذهب وذافعية الثقافة + +34 +00:04:17,570 --> 00:04:24,670 +الإسلامية هي التي تغلبت وانتصرت في آخر المطاف وفي + +35 +00:04:24,670 --> 00:04:30,450 +الجولة الأخيرة وسنتناول ذلك في حينه إن شاء الله + +36 +00:04:30,450 --> 00:04:38,940 +اطلاعه على ثقافات عصرهفقد كان مثقفاً عالي التثقيف + +37 +00:04:38,940 --> 00:04:46,760 +و ساعدته إيجادته للغة الفارسية على التبحر في ثقافة + +38 +00:04:46,760 --> 00:04:52,780 +الفارسية وغيرها من الثقافات كان أبو نواس مليح + +39 +00:04:52,780 --> 00:04:58,280 +الوجه وله قبول عند الناس + +40 +00:05:00,530 --> 00:05:08,770 +هناك عامل آخر ربما يكون سلبي في حياة أبي نواث وهو + +41 +00:05:08,770 --> 00:05:17,590 +سيرة أمه واتصاله بوالدة ابن الحباب أحد المجان في + +42 +00:05:17,590 --> 00:05:24,540 +هذا العصرفهذا هو الذي ربما يعني يرجع إليه إفساد + +43 +00:05:24,540 --> 00:05:33,420 +أبي نواز كما أن سيرة أمه لم تعجبه فربما كانت هي + +44 +00:05:33,420 --> 00:05:43,440 +الدافع ورا إنحرافه نحو المجون ومرافقة المجان + +45 +00:05:43,440 --> 00:05:53,160 +وأصحاب اللهم فأخذ يعنييعبوا الخمر كينس همومه فكان + +46 +00:05:53,160 --> 00:06:00,680 +كالمستجير من الرمضاء بالنار تفتقت + +47 +00:06:00,680 --> 00:06:05,820 +شعيرية أبن وست مبكرا ويعاد من أعجيب عصره في الشعر + +48 +00:06:05,820 --> 00:06:10,520 +كان يملك قريحة شعرية سقلها بالدرس الطويل للشعر + +49 +00:06:10,520 --> 00:06:17,610 +القديم واللغة العربيةوغزّاه بالمحتوى الإسلامي + +50 +00:06:17,610 --> 00:06:22,390 +والثقافة الإسلامية وغيرها من ثقافات عصره قال + +51 +00:06:22,390 --> 00:06:30,910 +الجاحظ ما رأيت أحدًا أعلم باللغة من أبي نواس وقدمت + +52 +00:06:30,910 --> 00:06:34,330 +شخصيته في اتجاهين اتجاه يحافظ على التقاليد + +53 +00:06:34,330 --> 00:06:41,730 +الموضوعة دون أن يسقط أو يشتط في التجديدوهذا ما + +54 +00:06:41,730 --> 00:06:47,890 +نراه في مدائحه وأراجيزه ومرثيه واتجاه يجدد فيه + +55 +00:06:47,890 --> 00:06:53,570 +تجديدا واسعا المعاني والألفاظ وهذا ما نلاحظه في + +56 +00:06:53,570 --> 00:07:01,070 +أهاجيه وغزلياته وخمرياته أما بالنسبة لموضوعات شعره + +57 +00:07:01,070 --> 00:07:10,450 +فنبدأ بقصيدة المدح فكان أبو نواس يمدححسب الممدوح + +58 +00:07:10,450 --> 00:07:19,170 +أي يراعي الممدوح في المعاني التي يصف بها هذا + +59 +00:07:19,170 --> 00:07:22,610 +الممدوح وكان + +60 +00:07:25,890 --> 00:07:37,530 +هذه المراعاة ناشئة من عبقرية أبي نواث وسليقته + +61 +00:07:37,530 --> 00:07:45,610 +وامتلاكه للمقاومات والمقدرات الأسلوبية والفنية + +62 +00:07:45,610 --> 00:07:47,190 +والثقافية + +63 +00:07:49,160 --> 00:07:54,060 +فمثلًا يلتزم بالمقدمة الطلالية التقليدية في مدائها + +64 +00:07:54,060 --> 00:08:00,400 +لكنه لا يطيل فيها وهذه علامة فارقة بينه وبين بشار + +65 +00:08:00,400 --> 00:08:09,000 +إبن بورد فنراه يمدح الخصيب فيقول في المقدمة أجارة + +66 +00:08:09,000 --> 00:08:17,490 +بيتين أبوك غيور وميسور ما يرجى لديك عسيرويقول في + +67 +00:08:17,490 --> 00:08:23,950 +مدح الأمين يا دار ما فعلت بك الأيام لم تبقى فيك + +68 +00:08:23,950 --> 00:08:30,830 +بشاشة تستام أما فيما يتعلق بمعانيه يعني معاني + +69 +00:08:30,830 --> 00:08:35,450 +المدحفنجده دائما ايه؟ أو غالبا يبالغ في صفات + +70 +00:08:35,450 --> 00:08:43,330 +الممدوح كما يقول في الرشيد وأخفت أهل الشرك حتى إنه + +71 +00:08:43,330 --> 00:08:50,750 +لتخافك النطف التي لم تخلقي ويقول في الرشيد أيضاملك + +72 +00:08:50,750 --> 00:08:59,010 +تصور في القلوب مثاله فكأنه لم يخل منه مكانه ومن + +73 +00:08:59,010 --> 00:09:07,610 +مبلغاته تصويره الطريف لبعض ممدحيه فيقول تغطيت من + +74 +00:09:07,610 --> 00:09:16,410 +دهري بظل جناحه فعيني ترا دهري وليس يرانيفلو تسأل + +75 +00:09:16,410 --> 00:09:23,410 +الأيام ما اسمي لما درت، وأين مكاني ما عرفنا مكاني + +76 +00:09:23,410 --> 00:09:27,270 +ونرى + +77 +00:09:27,270 --> 00:09:33,350 +أبا نواس يستعمل الألفاظ السهلة التي تموج نعمة ورقة + +78 +00:09:33,350 --> 00:09:41,430 +وخفةوذلك إذا كان على علاقة حميمة مع الممدوح كما في + +79 +00:09:41,430 --> 00:09:49,250 +مدح الأمين يقول أضحى الإمام محمد للدين نورا يقتبس + +80 +00:09:49,250 --> 00:09:56,940 +تبكي البدور لضحكه والسيف يضحك إن عبسوطبعا البدور + +81 +00:09:56,940 --> 00:10:09,740 +جمع بدرة وهي كيث فيه مبلغ معين من المال نلاحظ + +82 +00:10:09,740 --> 00:10:16,380 +الألفاظ سهلة واضحة عذبة لا غموضة فيها ولا غربة + +83 +00:10:16,380 --> 00:10:19,460 +وأيضا + +84 +00:10:21,700 --> 00:10:29,700 +نراه إذا في المذحة يتميز بهذه الميزات الثلاث + +85 +00:10:29,700 --> 00:10:35,220 +الانتجام أحيانا بالمقدمة الطلالية ولكنه لا يطيل + +86 +00:10:35,220 --> 00:10:42,780 +فيها والشيء الثاني أنه يبالغ في التصوير والشيء + +87 +00:10:42,780 --> 00:10:50,980 +الثالث سهولة الألفاظ وعدم غموضهافي المعاني وأيضا + +88 +00:10:50,980 --> 00:10:56,140 +البعد عن الكلمات الغريبة وهذا البعد عن الكلمات + +89 +00:10:56,140 --> 00:11:02,000 +الغريبة ليس جهلا في اللغة عند أبي نواس وإنما كان + +90 +00:11:02,000 --> 00:11:11,780 +يلائم بين الممدوح والألفاظ والمعانيوقد رأينا أن + +91 +00:11:11,780 --> 00:11:17,580 +كما قال جاحظ لم أرى أحد أعلم باللغة من أبلي نواس + +92 +00:11:17,580 --> 00:11:27,400 +فليس معنى أنه يأتي بألفاظ سهلة أنه لا يعرف الكلمات + +93 +00:11:27,400 --> 00:11:32,700 +الغريبة أو أنه يجهل الأساليب القوية لأ إنما هذا + +94 +00:11:32,700 --> 00:11:38,690 +يدل على شاعريتهلأنه يخاطب ويستعمل من اللغة ما + +95 +00:11:38,690 --> 00:11:44,350 +يناسبها ومن الممدوحين وما يناسبهم من الألفاظ + +96 +00:11:44,350 --> 00:11:52,170 +والمعام من + +97 +00:11:52,170 --> 00:12:02,710 +أكثر الموضوعات التي تقرب أبو نواس التي تقرب أبو + +98 +00:12:02,710 --> 00:12:11,240 +نواس من القديمهو شعر الطرد أو شعر الصيد فمن خلال + +99 +00:12:11,240 --> 00:12:19,340 +هذه القصيدة نستطيع أن نعرف أن أبا نواس كان على + +100 +00:12:19,340 --> 00:12:28,380 +علاقة قوية وخبرة عظيمة باللغة وغريبها ففي إحدى + +101 +00:12:28,380 --> 00:12:34,900 +طردياته يبدو أبو نواسكما لو كان شاعراً من شعراء + +102 +00:12:34,900 --> 00:12:41,720 +البدو في العصر الأموي كأبي نخيلة والشمردل يقول + +103 +00:12:41,720 --> 00:12:51,300 +مثلا في ترضياته في أحد ترضياته لما تبد الصبح من + +104 +00:12:51,300 --> 00:12:58,720 +حجابه كطلعة الأشمطمن جلبابه وانعدل الليل إلى مقابه + +105 +00:12:58,720 --> 00:13:08,780 +كالحبشي افتر عن أنيابه هجنا بكلب طالما هجنا به + +106 +00:13:08,780 --> 00:13:16,780 +ينتسف المقودة من كلابه كأن متنيه لدى انسرابه متنا + +107 +00:13:16,780 --> 00:13:24,750 +شجاع لجّ في انسيابهكأنما الأظفور في قنابه موسى + +108 +00:13:24,750 --> 00:13:33,370 +صناع رد في نصابه، كأن نصا ما توكلنا به يعفو على ما + +109 +00:13:33,370 --> 00:13:40,950 +جر من ثيابه، ترى سوام الوحش يحتوي به يروحنا أسرى + +110 +00:13:40,950 --> 00:13:48,650 +ذفره ونابهففي هذه الطردية أو هذه القصيدة نرى أن + +111 +00:13:48,650 --> 00:13:58,790 +أبا نواس يبدو كما لو كان شاعرا عربيا بدويا يلبس + +112 +00:13:58,790 --> 00:14:05,630 +بجاد البدوي و يظهر ذلك من خلال هذه الكلمات التي + +113 +00:14:05,630 --> 00:14:09,530 +يستعملها + +114 +00:14:09,530 --> 00:14:12,190 +شعراء البادية + +115 +00:14:17,040 --> 00:14:27,520 +فطبعا هذه الكلمات يعني كثيرة مثل كلمة الأشمط وإن + +116 +00:14:27,520 --> 00:14:36,190 +عدلةوفترة وهجنة وانسرابه + +117 +00:14:36,190 --> 00:14:45,570 +الأذفور القناب يعفو كل هذه كلمات كلمات بدوية تظهر + +118 +00:14:45,570 --> 00:14:48,450 +في شعر الأعراب أو البدو + +119 +00:14:53,930 --> 00:15:01,830 +أما قصيدة الإثاء هي تخير لها أبو نواس أسلوبا جزلا + +120 +00:15:01,830 --> 00:15:06,690 +مسئولا و ربما يأتي بالكلمات الغريبة خاصة إذا كان + +121 +00:15:06,690 --> 00:15:14,000 +الميت لغويا و قد يتخفف من ذلك أحيانايقول في رسائي + +122 +00:15:14,000 --> 00:15:22,020 +عالم اللغة خلف الأحمر أودى جماع العلم إذ أودى خلف + +123 +00:15:22,020 --> 00:15:28,820 +من لا يعد العلم إلا ما عرف كنا متى ما ندن منه + +124 +00:15:28,820 --> 00:15:37,920 +نغتلف رواية لا تجتنا من الصحفأما إذا كان العلاقة + +125 +00:15:37,920 --> 00:15:47,840 +بينه وبين الميت علاقة حميمية فنرى القصيدة تشتعل + +126 +00:15:47,840 --> 00:15:56,480 +باللوعة والحرارة وتتميز بالصدقفي مثل قوله يرثي + +127 +00:15:56,480 --> 00:16:04,180 +الأمين طوى الموت ما بيني وبين محمد وليس لما تطوي + +128 +00:16:04,180 --> 00:16:13,780 +المنية ناشرهفلا وصل إلا عبرة تستديمها أحاديث نفس + +129 +00:16:13,780 --> 00:16:21,980 +ما لها الدهر ذاكره وكنت عليه أحذر الموت وحده فلم + +130 +00:16:21,980 --> 00:16:29,340 +يبقى لي شيء عليه أحذره لإن عمرت دور بمن لا أوده + +131 +00:16:29,340 --> 00:16:33,000 +لقد عمرت ممن أحب المقابر + +132 +00:16:35,780 --> 00:16:43,800 +فنلاحظ هنا أن المعاني صادقة نابعة من تجربة صادقة + +133 +00:16:43,800 --> 00:16:53,240 +وكافة بالموت واعظاوغالبا ما يكون شعر الرثاء صادق + +134 +00:16:53,240 --> 00:17:00,300 +صادقا فكيف اذا كان ايضا او اضافنا سبب اخر وهو + +135 +00:17:00,300 --> 00:17:05,740 +العلاقة الحميمية بين الشاعر والمرثى + +136 +00:17:10,110 --> 00:17:20,230 +كذلك نرى أن اللغة أو الأسلوب يكاد يكون أقوى وأجزل + +137 +00:17:20,230 --> 00:17:27,050 +مما رأيناه في شعري المجنون واللهو مثلا أما قصيرة + +138 +00:17:27,050 --> 00:17:31,450 +الهجاء فنلاحظ في هذا الموضوع أن أبا نواس لم يقف + +139 +00:17:31,450 --> 00:17:36,620 +عند حدود سلب القيمة الخلقية من المهجومبل نراه يجعل + +140 +00:17:36,620 --> 00:17:43,020 +من المهجوء أضحوكة يتنضر بها في مثل قوله يهجو + +141 +00:17:43,020 --> 00:17:51,400 +إسماعيل ابن نوبخت يقول خبز إسماعيل كالوشي إذا من + +142 +00:17:51,400 --> 00:18:00,450 +شقه يرفععجبًا من أثر الصنعة فيه كيف يُخفى إن رفاقك + +143 +00:18:00,450 --> 00:18:08,450 +هذا ألطف الأمة كفة فهنا الشاعر لا يقف عند سلب + +144 +00:18:08,450 --> 00:18:15,550 +المهجو أو سلب الرذائل من .. سلب الفضاء من المهجو + +145 +00:18:15,550 --> 00:18:20,710 +والساق الرذائل به فلم يعني .. فلم يقف عند وصيه + +146 +00:18:20,710 --> 00:18:31,430 +بالبخل إنما جعلجعله أضحوك و تندر بها فعندما + +147 +00:18:31,430 --> 00:18:37,250 +قال خبز إسماعيل كالوشي يعني كالثوب الموشي المطرز + +148 +00:18:37,250 --> 00:18:43,140 +المجمل بأنواع الوشي اللي هو التطريزوهذا دليل عليه + +149 +00:18:43,140 --> 00:18:53,400 +على أنه يعظم الخبز ويجمله لأن الخبز لديه مقدس + +150 +00:18:53,400 --> 00:19:02,440 +ومعظم وتعميخ للبخل قال عجبا من أثر صنعة فيه كيف + +151 +00:19:02,440 --> 00:19:10,070 +يُخفىيعني أنه حريص على أن يبقى رغيف الخبز كاملا + +152 +00:19:10,070 --> 00:19:18,850 +غير منقوص وإذا كسر يعيده ويلسقه بطريقة ماهرة كما + +153 +00:19:18,850 --> 00:19:26,850 +يفعل الرفاء الذي يصلح الثياب لأنه يزيل أماكن العيب + +154 +00:19:26,850 --> 00:19:30,430 +فيه بطريقة ماهرة + +155 +00:19:33,640 --> 00:19:40,960 +أما فيما يتعلق بالمقدمة الطلالية فإن أبا نواز دعى + +156 +00:19:40,960 --> 00:19:50,000 +إلى ترك المقدمة الطلالية في أكثر من مكان ولكن هذه + +157 +00:19:50,000 --> 00:19:57,700 +الدعوة لم تلقى استجابة في هذا العصر ولكنها مهدت ل + +158 +00:19:58,700 --> 00:20:07,080 +مهدد هذه الدعوة لترك المقدمة في الأجالة اللاحقة + +159 +00:20:07,080 --> 00:20:17,980 +وزعزعت أيضًا الشعراء في أهمية هذه المقدمة يقول أبو + +160 +00:20:17,980 --> 00:20:26,270 +نواث لا تبكي ليلة ولا تطرب إلى هنديواشرب على الورد + +161 +00:20:26,270 --> 00:20:34,010 +من حمراء كالورد كأسا إذا حضرت في قلب شاربها أجدته + +162 +00:20:34,010 --> 00:20:40,350 +حمرتها في العين و الخد فالخمر ياقوتة و الكأس لؤلؤة + +163 +00:20:40,350 --> 00:20:47,510 +في كف جارية ممشوقة القد تسقيك من يدها خمرا و من + +164 +00:20:47,510 --> 00:20:51,830 +فمها خمرا فما لك من سكرين من بده + +165 +00:20:54,780 --> 00:21:02,940 +فمالك من سكريني من بدي أيضًا يقول عاج الشقي على + +166 +00:21:02,940 --> 00:21:11,240 +رسم يسائله وعزته أسأل عن خمارة البلدي يبكي على طلل + +167 +00:21:11,240 --> 00:21:17,600 +الماضين من أسد لا درّذ الركه قل لي من بنوا أسدي + +168 +00:21:18,210 --> 00:21:25,630 +داعذا عدمتك واشربها معتقة صفراء تفرق بين الروح + +169 +00:21:25,630 --> 00:21:32,950 +والجسدنلاحظ أنه في هذه الأشعار يدعو إلى ترك + +170 +00:21:32,950 --> 00:21:40,890 +المقدمة الطلالية ويدعو إلى المقدمة الخمرية وهذه + +171 +00:21:40,890 --> 00:21:48,850 +الدعوة وإن لم تلقى استجابة واسعة في هذا العصر كما + +172 +00:21:48,850 --> 00:21:55,720 +أن أبا نواز نفسهاستعمل المقدمة الطلالية كما رأينا + +173 +00:21:55,720 --> 00:22:02,740 +من قبل ولكن هذه الدعوة وإن لم تنجح في هذا العصر + +174 +00:22:02,740 --> 00:22:07,600 +إلا أنها مهدت وزعزعت + +175 +00:22:07,600 --> 00:22:13,640 +ثقة الشعراء بالمقدمة مما أدى إلى إحداث تطوير + +176 +00:22:13,640 --> 00:22:21,190 +وتجديد للمقدمة كما رأينا فيما سبقعندما تنولنا + +177 +00:22:21,190 --> 00:22:22,690 +قفيلة المدعى + +178 +00:22:26,560 --> 00:22:34,680 +القصيدة الأخيرة هي قصيدة الذهد وقصيدة الذهد نالت + +179 +00:22:34,680 --> 00:22:44,260 +تشكيكا وشبهات عدة عند الباحثين وأشاء البعض فهم + +180 +00:22:44,260 --> 00:22:49,800 +دوافع الشاعر وشخصية + +181 +00:22:49,800 --> 00:22:56,630 +الشاعر ومكوناته الثقافية والنفسيةفمنهم من قال إن + +182 +00:22:56,630 --> 00:23:02,450 +ما نسب من شعر الذهد لأبي نواز هو شعر منتحل يعني + +183 +00:23:02,450 --> 00:23:11,530 +منسوب إليه وهذا يحتاج إلى نقد + +184 +00:23:11,530 --> 00:23:19,370 +وتحليل فمن قال أن الذهد عند أبي نواز هو مرحلة + +185 +00:23:19,370 --> 00:23:26,550 +عابرة من مراحل حياتهالشعيرية ثم عاد إليها ثانية + +186 +00:23:26,550 --> 00:23:36,170 +فهذا يعني ليس صحيحا ربما + +187 +00:23:36,170 --> 00:23:41,010 +يكون هدف هؤلاء الذين قالوا إن الذهد عند أبو نواز + +188 +00:23:41,010 --> 00:23:47,070 +مرحلة عابرة أرادوا أن يحافظوا على العالميةعالمية + +189 +00:23:47,070 --> 00:23:55,250 +المجنون اللاهو عند ابن واس ويلتقوا معاه على هذا + +190 +00:23:55,250 --> 00:23:59,750 +الصعيد او على هذه المكانة + +191 +00:24:01,660 --> 00:24:07,380 +ولكن الحقيقة أن الذهد عند أبو نواس كان مرحلة أخيرة + +192 +00:24:07,380 --> 00:24:14,380 +وليس مرحلة عابرة يعني كانت في وسط حياته ثم عاد إلى + +193 +00:24:14,380 --> 00:24:20,160 +حالته الأولى كانت مرحلة أخيرة ودليل على ذلك أن + +194 +00:24:20,160 --> 00:24:25,980 +الإمام الشابعي رضي الله عنه أتى أبو نواس وهو يجود + +195 +00:24:25,980 --> 00:24:34,760 +بنفسه وهو يحتضرفسأله ماذا أعددت لهذا اليوم فقال + +196 +00:24:34,760 --> 00:24:41,900 +أبو نواز تعظمني ذنبي فلمّا قرنته بعفوك كان عفوك + +197 +00:24:41,900 --> 00:24:49,120 +أعظمها هذا دليل على أن الذهد هو مرحلة أخيرة في + +198 +00:24:49,120 --> 00:24:58,420 +حياة أبي نواز الأمر الآخر أن بعض الباحثيننفى شعر + +199 +00:24:58,420 --> 00:25:06,420 +الذهد عند أبي نواز وقال إنه شعر دخيل والحقيقة أن + +200 +00:25:06,420 --> 00:25:15,170 +هذا الشعر شعر الذهد عند أبي نوازجاء من طريقين طريق + +201 +00:25:15,170 --> 00:25:22,390 +أبي بكر الصولي وطريق حمزة الأصفاني وورد هذا الشعر + +202 +00:25:22,390 --> 00:25:32,490 +من طريقين يدل على صحة نسبته إلى أبي نواز هذا + +203 +00:25:32,490 --> 00:25:39,410 +الشيء الشيء الثالث أن هذا الشعر الشعر الذهد ليسفي + +204 +00:25:39,410 --> 00:25:48,070 +يعني ليس خارج التوقع بل إنه نتيجة منطقية لذلك + +205 +00:25:48,070 --> 00:25:55,370 +الصراع الداخل الذي كان يشتغل أو يشتعل في نفس أبن + +206 +00:25:55,370 --> 00:26:03,490 +واس إنه صراع بين قوة الخير و قوة الشر أو قيم الخير + +207 +00:26:03,490 --> 00:26:11,870 +و قيم الشرالثقافة الإسلامية التي ترعرع فيها أبو + +208 +00:26:11,870 --> 00:26:24,050 +نواس لم تكن فترة هينة بل كانت قوية جدا وغزيرة جدا + +209 +00:26:24,050 --> 00:26:32,950 +ولذلك كانت صحرة الضمير عند أبي نواس قوية جدالقوة + +210 +00:26:32,950 --> 00:26:43,870 +الثقافة الكامنة في نفسه وسعتها وشمولها لكل مناحي + +211 +00:26:43,870 --> 00:26:51,150 +مكوناته النفسية والثقافية فليس + +212 +00:26:51,150 --> 00:26:58,630 +غريبًا أن يكون زاهدًا إنما الغريب أن يكون غير ذلك + +213 +00:27:01,790 --> 00:27:10,130 +أيضًا يلاحظ أن شعر الذهد عند أبي نواز هو نتيجة + +214 +00:27:10,130 --> 00:27:15,430 +نتيجة إيه؟ رد فعل عنيفة وقوية أقوى من المجنون اللي + +215 +00:27:15,430 --> 00:27:23,040 +هو اللهو والتعابس الذي غلق فيهلفترة من الزمن كذلك + +216 +00:27:23,040 --> 00:27:30,800 +ما يؤكد على أن الذهد هو حقيقة عند أبي نواس أنه جاء + +217 +00:27:30,800 --> 00:27:36,880 +متوافقا أو موافقا لتعاليم الإسلام ولم يطعن في شعره + +218 +00:27:36,880 --> 00:27:46,240 +أحد أو أعابه أو انتقدهفيقول مثلا يا طالب الدنيا + +219 +00:27:46,240 --> 00:27:53,820 +ليجمعها جمحت بك الآمال فاقتصدي والقصد أحسن ما عملت + +220 +00:27:53,820 --> 00:27:59,680 +به فاسلك سبيل الخير واجتهدي وعمل لدار أن تجعلها + +221 +00:27:59,680 --> 00:28:02,500 +دار المقامة آخر الأبد + +222 +00:28:05,640 --> 00:28:14,360 +إذا الذهب عند أبي نواس ذهب إسلامي وحقيقي وليس + +223 +00:28:14,360 --> 00:28:22,100 +منتحرا وليس خارجا عن دائرة التوقع فهو شيء متوقع + +224 +00:28:22,100 --> 00:28:28,640 +متوقع وشيء أصيلبأصالة الثقافة الإسلامية الموجودة + +225 +00:28:28,640 --> 00:28:36,320 +في نفسه والتي تلقاها في مساجد البصرة وحفظه للقرآن + +226 +00:28:36,320 --> 00:28:42,880 +والحديث والشعر العربي فهذا دليل على أن الذهد هو + +227 +00:28:42,880 --> 00:28:47,760 +حقيقة وليس أسطورة + +228 +00:28:50,830 --> 00:28:55,070 +هذا وبالله التوفيق وصلى اللهم على نبينا محمد وعلى + +229 +00:28:55,070 --> 00:28:58,390 +آله وصحبه وسلم تسيما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/FF2OJnsBtxQ.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/FF2OJnsBtxQ.srt new file mode 100644 index 0000000000000000000000000000000000000000..aa706b4b017aa075172a1377e56682bfd1614bf2 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/FF2OJnsBtxQ.srt @@ -0,0 +1,1307 @@ +1 +00:00:05,030 --> 00:00:08,510 +بسم الله الرحمن الرحيم وأصلي وسلم على نبينا محمد + +2 +00:00:08,510 --> 00:00:13,330 +وعلى آله وصحبه وسلم تسليمًا كثيرًا في هذه المحاضرة + +3 +00:00:13,330 --> 00:00:20,030 +نتناول المؤثرات الاجتماعية في الأدب العباسي كنا في + +4 +00:00:20,030 --> 00:00:25,210 +المحاضرة السابقة قد ذكرنا بعضًا من هذه المؤثرات + +5 +00:00:25,210 --> 00:00:30,750 +المؤثرات التي هي الحضارة والثراء والترف وهذا حصل + +6 +00:00:30,750 --> 00:00:34,870 +بسبب التمازج الجنسي والحضاري والثقافي في هذا العصر + +7 +00:00:35,110 --> 00:00:40,630 +بين العربي والعجمي وأدى ذلك إلى تنوع ثقافي وحضاري + +8 +00:00:40,630 --> 00:00:47,830 +أيضًا ثراء والترف أدى إلى حصول الرفاهية التي هي فوق + +9 +00:00:47,830 --> 00:00:52,090 +الحد الكفاية التي كان يسعى عليها العربي في العصور + +10 +00:00:52,090 --> 00:00:57,540 +السابقة كان العربي في السابق يهتم بتحقيق الكفاية + +11 +00:00:57,540 --> 00:01:03,540 +أما في هذا العصر فأصبح يبحث عن الرفاهية وهذا ولد + +12 +00:01:03,540 --> 00:01:08,040 +في نفسه اتّنعماً والإسراف في المظاهر الاجتماعية + +13 +00:01:08,040 --> 00:01:14,500 +والمبالغة في وسائل الزينة والزخرف وهذا أدى بدوره + +14 +00:01:14,500 --> 00:01:21,940 +إلى خلق إحساس جمال عميق في النفس في الأدب العربي + +15 +00:01:21,940 --> 00:01:28,160 +فارتقى العقل ورقى الإحساس أيضًا تحدثنا عن الرقيق و + +16 +00:01:28,160 --> 00:01:33,980 +الجواري وكان له تأثير في تشكيل ظاهرة جديدة عرفت + +17 +00:01:33,980 --> 00:01:39,080 +بظاهرة التغذي بالغلمان من روادها مطيّع ابن إياس + +18 +00:01:39,080 --> 00:01:46,510 +وولبة ابن الحباب وأبو نواس أيضًا هذه الظاهرة، + +19 +00:01:46,510 --> 00:01:51,950 +ظاهرة الرقيق والجواري أحدثت إحساسًا عميقًا بالجمال + +20 +00:01:51,950 --> 00:01:57,250 +وضعت تصورًا جماليًا عند شعر العباسي للمرأة + +21 +00:01:57,250 --> 00:02:03,630 +وأيضًا ولد إحساسًا رقيقًا عند الشعراء وهذا بدوره + +22 +00:02:03,630 --> 00:02:11,630 +أدى إلى ترقيق لغة الشعر في هذا العصر أيضًا كان من + +23 +00:02:11,630 --> 00:02:17,610 +تأثير الرقيق والجواري ازدهار فن الغناء في هذا العصر + +24 +00:02:17,610 --> 00:02:23,730 +وهو بدوره أعطى مجموعة من المؤثرات في الشعر العباسي + +25 +00:02:23,730 --> 00:02:31,510 +مثل ترقيق لغة الشعر ووجدنا أوزانًا خفيفة ومجزوءة + +26 +00:02:31,510 --> 00:02:36,720 +تظهر بكثرة في هذا الشعر أيضًا وجدنا المقطعات + +27 +00:02:36,720 --> 00:02:44,400 +الشعرية أو القصائد ذات الأبيات المحدودة إذن تركت + +28 +00:02:44,400 --> 00:02:50,280 +ظاهرة الرقيق والجواري أثرًا في الشعر العباسي كذلك + +29 +00:02:50,280 --> 00:02:58,260 +وجدنا صورًا إبداعية جديدة وكذلك وجدنا تمردًا على + +30 +00:02:58,260 --> 00:03:03,780 +مقدمة القصيدة العربية أيضًا تحدثنا في اللقاء السابق + +31 +00:03:03,780 --> 00:03:07,280 +عن المجون واللهو وقلنا إن هذه ظاهرة غير عربية + +32 +00:03:07,280 --> 00:03:13,780 +لأن منشأها التجاوز، تجاوز الحد الطبيعي + +33 +00:03:13,780 --> 00:03:21,260 +للشهوات التي ظهرت في الحضارة الفارسية وانتقلت إلى + +34 +00:03:21,260 --> 00:03:25,860 +العرب تحت تأثير الحرية المسرفة التي تحدثنا عنها في + +35 +00:03:25,860 --> 00:03:31,100 +المؤثرات السياسية فوجدنا تجاوزًا في التغذي + +36 +00:03:31,100 --> 00:03:38,120 +بالغلمان والتغذي بالصفات الصريحة للمرأة أو مفاتن + +37 +00:03:38,120 --> 00:03:43,460 +المرأة ورأينا أن الشعراء قد أكثر من الحديث عن + +38 +00:03:43,460 --> 00:03:48,740 +الخمر ووصفوا مجالسها وبلغوا في هذه الشهوة حتى + +39 +00:03:48,740 --> 00:03:55,500 +أخرجتهم من الدين فتجاوزوا الأوامر الدينية والتعدي + +40 +00:03:55,500 --> 00:04:00,820 +على العقيدة الإسلامية كما بينا في اللقاء السابق + +41 +00:04:00,820 --> 00:04:07,520 +النقطة التي نشير إليها أيضًا من الظواهر الاجتماعية + +42 +00:04:07,520 --> 00:04:15,040 +هي الشعوبية والزندقة ومعنى الشعوبية هي تفضيل غير + +43 +00:04:15,040 --> 00:04:24,070 +العربي على ذنب الجنس العربي تفضيل غير عربي على ذنب الجنس + +44 +00:04:24,070 --> 00:04:29,670 +العربي ومعلوم أن الإسلام قد حارب الشعوبية ابتداءً + +45 +00:04:29,670 --> 00:04:35,110 +وجعل مقياس التفاخر هو التقوى فقال تعالى إن أكرمكم + +46 +00:04:35,110 --> 00:04:40,350 +عند الله أتقاكم وقال صلى الله عليه وسلم، «لا فرق + +47 +00:04:40,350 --> 00:04:47,090 +لعربي على عجمي إلا بالتقوى» وكان لسيطرة الروم، + +48 +00:04:47,090 --> 00:04:53,770 +لسيطرة الفرس في هذه الفترة انطبعت الحياة بطابع + +49 +00:04:53,770 --> 00:04:59,830 +فارسي وذلك لأن الفرس كان لهم دور كبير في إقامة + +50 +00:04:59,830 --> 00:05:05,290 +دولة بني العباس فظهرت سلوكيات + +51 +00:05:06,430 --> 00:05:11,350 +ومواقف اتجاه العرب فقدموا الشعوب الأجنبية على + +52 +00:05:11,350 --> 00:05:17,510 +العرب وانتقصوا قدر العرب وحقروا شأنهم وكان دافع + +53 +00:05:17,510 --> 00:05:24,520 +ذلك سياسيًا ذلك أن الفرس شعروا بأن أو اعتقدوا بأن + +54 +00:05:24,520 --> 00:05:30,100 +العرب هم الذين أزالوا دولة الفرث وأنهم نقلوهم من + +55 +00:05:30,100 --> 00:05:39,740 +حياة التنعّم والترف إلى حياة التقشف والشّظف فكان + +56 +00:05:39,740 --> 00:05:46,780 +هناك أو نشأ هناك عداء للعرب لأنهم ضيقوا على هؤلاء + +57 +00:05:46,780 --> 00:05:55,490 +حياتهم ومعيشتهم الدنيوية ورأوا أيضًا أن الفرس أحق + +58 +00:05:55,490 --> 00:06:01,430 +بالسيادة في هذا العصر فانتقصوا عادات العرب + +59 +00:06:01,430 --> 00:06:09,120 +وتقاليدهم وتقاليدهم في المعيشة والاجتماع وغيرها مما + +60 +00:06:09,120 --> 00:06:15,860 +لا تتفق مع عادات الفرس وتقاليدهم فقد رأينا أنهم قد + +61 +00:06:15,860 --> 00:06:22,700 +أسرفوا في اللهو والمجون وهناك دافع أيضًا لمعاداة + +62 +00:06:22,700 --> 00:06:28,660 +العرب وهو أن هؤلاء العرب هم الذين يقودون الأمة + +63 +00:06:28,660 --> 00:06:37,380 +ويقودون البشرية أما الزندقة فهي لفظ فارسي معرّب + +64 +00:06:37,380 --> 00:06:47,920 +أصلها مأخوذ من كلمة الـ Zendethist وهي كلمة فارسية + +65 +00:06:47,920 --> 00:06:54,760 +تُطلق على الكتاب المقدس عند المجوس وشاعت هذه + +66 +00:06:54,760 --> 00:07:02,260 +الكلمة في المجتمع العباسي وحُرفت إلى كلمة زندقة + +67 +00:07:02,260 --> 00:07:09,520 +لتُطلق هذه الكلمة على كل من يتهاون في الدين أو يهزأ + +68 +00:07:09,520 --> 00:07:16,200 +بتعاليمه وعباداته أو يتجرأ إسرافًا في المعاصي + +69 +00:07:16,200 --> 00:07:21,720 +والمنكرات أو يقول بمقالة بعض الكفار ويؤمنوا + +70 +00:07:22,580 --> 00:07:28,960 +بعقائدهم وعلى كل من يتأثر بالفرس في عاداتهم ويسترف + +71 +00:07:28,960 --> 00:07:36,180 +في العبث والمجون فالزندقة إذن هي بغض الإسلام وأهله + +72 +00:07:36,180 --> 00:07:43,020 +وتعاليمه ثم اتباع طرق أصحاب الملل والنحل الضالة + +73 +00:07:43,020 --> 00:07:49,300 +والأهواء الفاسدة والأفعال الملهية وهناك علاقة بين + +74 +00:07:49,300 --> 00:07:54,380 +الشعوبية والزندقة، فالشعوبية عامّة، وهي مقدمة + +75 +00:07:54,380 --> 00:07:57,460 +للزندقة، + +76 +00:07:57,460 --> 00:08:02,720 +ويقول الجاحظ في الربط بين الزندقة والشعوبية، إن + +77 +00:08:02,720 --> 00:08:09,660 +عامّة من ارتاب بالإسلام يعني عامة الزنادقة، إنما + +78 +00:08:09,660 --> 00:08:16,010 +كان أول ذلك رأي الشعوبية، يعني كان شعوبيًا، ثم + +79 +00:08:16,010 --> 00:08:21,530 +تمادى في هذا الرأي والتمادى فيه وطول الجذال المؤدي + +80 +00:08:21,530 --> 00:08:27,590 +إلى الضلال فإذا أبغض شيئًا أبغض أهله وإذا أبغض تلك + +81 +00:08:27,590 --> 00:08:32,630 +اللغة أبغض تلك الجزيرة وإذا أبغض تلك الجزيرة أحب + +82 +00:08:32,630 --> 00:08:38,170 +من أبغض تلك الجزيرة فلا زالت أو فلا تزال الحالات + +83 +00:08:38,170 --> 00:08:47,360 +تتنقل به حتى ينسلخ عن الإسلام هناك ربط بين الشعوبية + +84 +00:08:47,360 --> 00:08:56,540 +والزندقة فالشعوبية أعم والزندقة أخص فكل زنديق شعوبي + +85 +00:08:56,540 --> 00:09:02,800 +وليس كل شعوبي زنديق لأن من الشعوبية من يكره العرب + +86 +00:09:02,800 --> 00:09:09,200 +ولكنه يحب الإسلام يكره حياة العرب وعاداتهم + +87 +00:09:09,200 --> 00:09:12,920 +وعاداتهم ولكنه يحب الإسلام + +88 +00:09:15,740 --> 00:09:21,640 +وقد كان للزندقة والزنادقة حضور بارز في الحياة + +89 +00:09:21,640 --> 00:09:26,900 +الثقافية والدينية والاجتماعية وكان تأثيرهم خطيرًا + +90 +00:09:26,900 --> 00:09:33,280 +مما دفع خلفاء بني العباس للتصدي لهم فأقاموا لهم + +91 +00:09:33,280 --> 00:09:39,360 +المشانق وفتحوا لهم السجون فقتل منهم من قتل وصلب + +92 +00:09:39,360 --> 00:09:45,810 +من صُلب وكان منهم بشار بن برد وصالح بن عبد القدوس + +93 +00:09:45,810 --> 00:09:53,910 +وتصدّى للزنادقة المعتزلة وهم خير مذهب في هذا العصر + +94 +00:09:53,910 --> 00:10:00,110 +يتصدّى للزنادقة ويدافع عن الإسلام من شرورهم + +95 +00:10:00,110 --> 00:10:08,900 +وأحقادهم ومعتقداتهم الفاسدة هذا مظهر اجتماعي ثالث + +96 +00:10:08,900 --> 00:10:15,500 +أما المظهر الرابع فهو ظاهرة الزهد ومعنى الزهد هو + +97 +00:10:15,500 --> 00:10:21,300 +يعني في تعريف موجز الزهد هو ترك شيء من المباح أو + +98 +00:10:21,300 --> 00:10:27,500 +الحلال مخافة الوقوع في الحرام وبذلك نجد أن الزاهد + +99 +00:10:27,500 --> 00:10:34,700 +ليس كالإنسان العادي الذي يترك الحرام فالزهد يترك + +100 +00:10:34,700 --> 00:10:40,720 +الحرام وشيء من الحلال مخافة أن يقع في الحرام، فهو + +101 +00:10:40,720 --> 00:10:44,440 +ابتعد مسافة بعيدة عن الحرام أكثر من الإنسان + +102 +00:10:44,440 --> 00:10:49,940 +العادي، ولذلك الزهد في أبسط التعريف له ترك شيء من + +103 +00:10:49,940 --> 00:10:56,740 +الحلال أو المباح مخافة الوقوع في الحرام، وهذا + +104 +00:10:56,740 --> 00:11:05,160 +يحتاج إلى مجهودات تعبدية ونفسية وسلوكية ليرتقي + +105 +00:11:05,160 --> 00:11:13,180 +الإنسان إلى هذه الدرجة لأن الترك يكون أعلى، فهو + +106 +00:11:13,180 --> 00:11:20,670 +يحتاج إلى جهد نفسي أسمى وهذا لا يتوفر للإنسان + +107 +00:11:20,670 --> 00:11:26,370 +العادي أما فلسفته فتقوم على أمرين الأمر الأول + +108 +00:11:26,370 --> 00:11:32,330 +تهذيب الرغبة الإنسانية في حب البقاء الشيء الثاني + +109 +00:11:32,330 --> 00:11:37,710 +تهذيب الرغبة الإنسانية في حب التملك في حب البقاء + +110 +00:11:37,710 --> 00:11:45,190 +نجد أن الزهاد يركزون على حقيقة الموت والفناء فلذلك + +111 +00:11:45,190 --> 00:11:52,430 +نجد أن شعر الزهدي يكثر من هذه الظاهرة أيضًا تهذيب + +112 +00:11:52,430 --> 00:11:57,070 +الرغبة الإنسانية في حب التملك من خلال القناعة + +113 +00:11:57,070 --> 00:12:03,730 +التأكيد على القناعة والرضا بالقليل ولذلك نجد شعر + +114 +00:12:03,730 --> 00:12:12,500 +الزهد يركز في مجمله على هذه الأمور هناك تعريفات + +115 +00:12:12,500 --> 00:12:19,120 +كثيرة للزهد لكن التعريف الذي قلناه يكفي ويسد بدل + +116 +00:12:19,120 --> 00:12:24,720 +هذه التعريفات الكثيرة وكلها جيدة هناك ملاحظات + +117 +00:12:24,720 --> 00:12:32,470 +تتعلق بحركة الزهد الملاحظة الأولى أن حركة الزهد + +118 +00:12:32,470 --> 00:12:40,150 +كانت ردة فعل لحركة المجون واللهو فإذا كانت حركة + +119 +00:12:40,150 --> 00:12:43,710 +المجون واللهو قد أصابت الطبقة العليا في المجتمع + +120 +00:12:43,710 --> 00:12:50,210 +فإن حركة الزهد أصابت وانتشرت بين العامة ولكنها مع + +121 +00:12:50,210 --> 00:12:59,110 +ذلك طرقت قصوراً الخلفاء على نحو ما رأينا عند عمر بن + +122 +00:12:59,110 --> 00:13:03,970 +الأبيض في وعظه للمنصور وصالح بن عبد الجليل في وعظه + +123 +00:13:03,970 --> 00:13:12,590 +للمهدي وابن السماك في وعظه لهارون الرشيد من كلامه + +124 +00:13:12,590 --> 00:13:20,950 +من كلام ابن السماك قوله الدنيا كلها قليل والذي بقي + +125 +00:13:20,950 --> 00:13:27,630 +منها في جنب الماضي قليل والذي لك من الباقي قليل ولم + +126 +00:13:27,630 --> 00:13:34,790 +يبقَ من قليلِك إلا القليل هذه عبارة لابن السماك لو + +127 +00:13:34,790 --> 00:13:41,360 +سألنا سؤالاً وقلنا ضع هذه العبارة أو ضع هذه العبارة + +128 +00:13:41,360 --> 00:13:46,900 +في سياق نظرية الزهد وما هي الإمكانات الأسلوبية أو + +129 +00:13:46,900 --> 00:13:51,920 +المهارات الأسلوبية التي استعملها ابن السماك + +130 +00:13:51,920 --> 00:14:05,180 +للتعبير عن نظرية الزهد نلاحظ أنه من حيثُ فلسفة الزهد + +131 +00:14:05,180 --> 00:14:10,420 +أنها تقوم على تهذيب الرغبة الإنسانية في + +132 +00:14:10,420 --> 00:14:14,940 +حب البقاء كما قلنا وحب التملك فقال الدنيا كلها + +133 +00:14:14,940 --> 00:14:21,780 +قليل طبعًا هذا المقياس انبنى على إحداث مقارنة بين + +134 +00:14:21,780 --> 00:14:28,540 +الدنيا والآخرة فالدنيا بالنسبة للآخرة قليل لأن + +135 +00:14:28,540 --> 00:14:33,560 +الآخرة فيها ما لا عين رأت ولا أذن سمعت ولا خطر على + +136 +00:14:33,560 --> 00:14:42,170 +قلب البشر فالدنيا إذن وفقًا للآخرة هي قليل نلاحظ أن + +137 +00:14:42,170 --> 00:14:50,790 +ابن السماك عمّق معنى القلة الذي يتسق مع حقيقة + +138 +00:14:50,790 --> 00:14:57,870 +الفناء وحقيقة، والرضا بالقليل والقناعة بالقليل + +139 +00:14:58,910 --> 00:15:04,210 +قال الدنيا كلها قليل والذي بقي منها في جنب الماضي + +140 +00:15:04,210 --> 00:15:09,990 +قليل نلاحظ هنا فيه مهارات أسلوبية تمثلت في إحداث + +141 +00:15:09,990 --> 00:15:21,590 +مقارنة بين الحاضر والماضي بين الدنيا والآخرة الشيء + +142 +00:15:21,590 --> 00:15:27,550 +الثاني أنه يكرر كلمة قليل الدنيا كلها قليل والذي + +143 +00:15:27,550 --> 00:15:36,410 +بقي منها في جنب الماضي قليل والذي لك من الباقي + +144 +00:15:36,410 --> 00:15:46,070 +قليل ولم يبقَ من قليلِك إلا القليل فنلاحظ هنا إيه أن + +145 +00:15:46,070 --> 00:15:51,970 +ابن السماك ليؤكد على نظريته وفلسفة الزهد وهي تحطيم + +146 +00:15:51,970 --> 00:15:56,670 +أو تهذيب الرغبة في حب البقاء من خلال تأكيد على + +147 +00:15:56,670 --> 00:16:06,010 +حقيقة الفناء والقلة والقناعة والرضا بالقليل أيضًا + +148 +00:16:06,010 --> 00:16:10,430 +من المظاهر الأسلوبية التي اعتمد عليها الزهد + +149 +00:16:10,430 --> 00:16:19,970 +والنسّاك وشعراء ووعاظ الزهد هو الأسلوب القصصي ذلك أن + +150 +00:16:19,970 --> 00:16:28,950 +الأسلوب القصصي يعرض فكرة الزهد أو نظرية الزهد من + +151 +00:16:28,950 --> 00:16:34,780 +كونها فكرة أو نظرية مجردة إلى نموذج يعني يُعبّر + +152 +00:16:34,780 --> 00:16:41,260 +وعاظ الزهد من خلال نموذج إنساني لأن القصة تقوم + +153 +00:16:41,260 --> 00:16:50,460 +على إيه؟ تقوم على شخصية وعلى حبكة وعلى أحداث + +154 +00:16:50,460 --> 00:16:56,060 +ومواقف هذا إيه يحدث إيه جاذبية عند المتلقي ولذلك + +155 +00:16:56,060 --> 00:17:02,600 +يعني اعتمد الوعّاظ على الأسلوب القصصي وخاصّة إيه + +156 +00:17:02,600 --> 00:17:09,560 +المثير الذي يعني يعتمد على الأمور فوق المعتادة + +157 +00:17:09,560 --> 00:17:16,740 +فالقصة يعني تأتي بمواقف إنسانية رائعة تركز على + +158 +00:17:16,740 --> 00:17:24,650 +النموذج الإنساني على الموقف النموذج، على القيم + +159 +00:17:24,650 --> 00:17:30,790 +الرفيعة العالية، ولذلك + +160 +00:17:30,790 --> 00:17:40,950 +اعتمد الوعّاظ والقصّاص على الأسلوب القصصي، وكان طبعًا + +161 +00:17:40,950 --> 00:17:45,410 +بجانب هؤلاء القصّاص والوعّاظ كثير من النسّاك أيضًا، + +162 +00:17:45,410 --> 00:17:50,760 +ولهم مقولات كثيرة، يعني لو رجعنا إلى كتاب البيان + +163 +00:17:50,760 --> 00:17:54,700 +والتّبيين للجاحظ وعيون الأخبار للقتيبة والعقل + +164 +00:17:54,700 --> 00:18:00,020 +الفريد لعبد الربّه سنجد هناك نثرات رائعة لمشهور + +165 +00:18:00,020 --> 00:18:07,360 +الوعّاظ والنسّاك أمثال سفيان الثوري وداود الطائي + +166 +00:18:07,360 --> 00:18:12,520 +وعبد الله بن المبارك والفضيل بن عياض وسفيان بن + +167 +00:18:12,520 --> 00:18:21,120 +عيينة الذي يقول فكرك في رزق غد يُكتب عليك خطيئة كما + +168 +00:18:21,120 --> 00:18:25,600 +قلنا طبعًا هذه العبارة تتسق مع نظرية الزهد كما قلنا + +169 +00:18:25,600 --> 00:18:33,760 +من قبل أن الزهد هو ترك شيء من المباح أو الحلال + +170 +00:18:33,760 --> 00:18:40,480 +مخافة الوقوع في الحرام فالتفكير في رزق غد ليس + +171 +00:18:40,480 --> 00:18:46,720 +حرامًا بل هو حلال قال فكرك يعني تفكيرك أقام الاسم + +172 +00:18:46,720 --> 00:18:52,320 +مقام المصدر لأن الاسم أثبت من المصدر لأن + +201 +00:22:01,050 --> 00:22:09,980 +الذهب أنها يعني كانت ردة فعل وليست حركة ممنهجة يعني + +202 +00:22:09,980 --> 00:22:16,880 +حركة قامت على ردة فعل من خلال أية يعني علاقة + +203 +00:22:16,880 --> 00:22:22,880 +اجتماعية فإذا كان المجنون واللهو يختصان بالطبقة + +204 +00:22:22,880 --> 00:22:28,820 +الخاصة فإن الذهب يختص بالطبقة أو انتشرت الطبقة في + +205 +00:22:28,820 --> 00:22:35,660 +العامة الرد فعل وليست حركة منهجية لأن من شأن + +206 +00:22:35,660 --> 00:22:46,840 +حركات ردة الفعل أن تؤسس للمشاكل أو عيوب أو عوار + +207 +00:22:46,840 --> 00:22:55,040 +يعيق هذه الحركة ويُحفزها أو يحدث انحرافات لأن حركة + +208 +00:22:55,040 --> 00:23:00,260 +الردة الفعل توجد سلبيات وأحيانًا انحرافات + +209 +00:23:00,260 --> 00:23:07,760 +واستثناءات داخل الحركة مع مرور الزمن ربما يعني + +210 +00:23:07,760 --> 00:23:17,140 +تنقلب في الاتجاه المعاكس فتتحول إلى سلبيات فإذا + +211 +00:23:17,140 --> 00:23:23,220 +بحركة الذهب عندما تستمر في الأجواء السابقة تتحول + +212 +00:23:23,220 --> 00:23:34,510 +إلى تصوف مزموم كما رأينا عند الحلاج وغيره هناك فيه + +213 +00:23:34,510 --> 00:23:45,950 +ملاحظة يعني تاريخية مهمة لتفسير حركة الذهد وربما + +214 +00:23:45,950 --> 00:23:55,080 +تؤشر إلى عملية انحراف فيما بعد يعني يقال أن أنا من + +215 +00:23:55,080 --> 00:23:59,820 +مشهوري أنساك عبد الواحد بن زيد الذي أنشأ أول رباط + +216 +00:23:59,820 --> 00:24:06,240 +أو صومعة في عبادان قرب الكوفة وفيها يقول أبو + +217 +00:24:06,240 --> 00:24:11,400 +العتاهية سقى الله عبادان غيثا مجللا فإن لها فضلا + +218 +00:24:11,400 --> 00:24:17,540 +جديدا وأولا وثبت من فيها مقيمة مرابطة فما إن أرى + +219 +00:24:17,540 --> 00:24:25,640 +عنها له متحولة وأخذت تقام الرباطات طبعا نلاحظ طبعا + +220 +00:24:25,640 --> 00:24:34,700 +هنا يعني يعني في مجال للتفكير وربط بين المقدمات + +221 +00:24:34,700 --> 00:24:40,520 +والنتائج أن هذه يعني أن هذه النشأة + +222 +00:24:42,990 --> 00:24:52,070 +للرباطات تدل على ربط بين التصوف والتشيع لأن هذا + +223 +00:24:52,070 --> 00:24:57,230 +الرباط أنشئ قرب الكوفة والكوفة كما ذكرنا موطن + +224 +00:24:57,230 --> 00:25:05,580 +التشييع هذه طبعًا نوع من التحليل نوع من التفسير أو + +225 +00:25:05,580 --> 00:25:10,380 +وجهة نظر على الأقل يعني أن التشييع.. أن التصوف + +226 +00:25:10,380 --> 00:25:17,360 +ارتبط ابتداء بالتشييع أيضًا + +227 +00:25:17,360 --> 00:25:22,300 +من الملاحظات أن حركة الذهب ارتبط بها منظومة + +228 +00:25:22,300 --> 00:25:29,220 +أخلاقية كما قلنا إن حركة الذهب تقوم على تهذيب النفس + +229 +00:25:30,160 --> 00:25:39,300 +بالزهد القليل والاستعداد للرحيل وتعزيز حقيقة الموت + +230 +00:25:39,300 --> 00:25:43,640 +والفناء في الإنسان اتبعت بها مجموعة من الأخلاق + +231 +00:25:43,640 --> 00:25:52,200 +النفسية مثل الصبر والتذلل والخضوع والصمم والحلم + +232 +00:25:52,200 --> 00:26:04,690 +فهذه مأخوذة من نظرية الذهب من الراعي الأول في + +233 +00:26:04,690 --> 00:26:12,670 +التصوف أو الميل الذهبي إلى النزعة التصوفية نراها عند + +234 +00:26:12,670 --> 00:26:19,130 +إبراهيم بن أدهم البلخي ورابعة العدوية وشقيق البلخي + +235 +00:26:19,130 --> 00:26:28,020 +تلميذ ابن أدهم وقال إنه أول من تكلم في التصوف وعلوم + +236 +00:26:28,020 --> 00:26:32,520 +الأحوال بخراسان وأشاع مبدأ التوكل ومعروف الكوفي + +237 +00:26:32,520 --> 00:26:40,840 +إذًا هنا في علامة أيضًا تجعل القارئ أن يفكر مليًا + +238 +00:26:40,840 --> 00:26:51,770 +أن التصوف قدم من بلاد فارس ومن خراسان ومن وراء أية + +239 +00:26:51,770 --> 00:27:01,250 +نهر يعني التصوف ليس خلقًا عربيًا كان هناك أية + +240 +00:27:01,250 --> 00:27:06,810 +الذهب كان هناك صبر عند العرب الصبر على الجوع الصبر + +241 +00:27:06,810 --> 00:27:11,450 +على العطش كان عندهم.. عندهم أية كرامة ولذا لم + +242 +00:27:11,450 --> 00:27:15,690 +ينشأ عندهم أية المجنون ولا لهو كما لم ينشأ عندهم + +243 +00:27:15,690 --> 00:27:22,100 +أية التصوف إذا أية؟ الموجود له عادة فارسية والتصوف + +244 +00:27:22,100 --> 00:27:30,740 +أيضًا عادة فارسية يعني ورث من ثقافة فارسية + +245 +00:27:30,740 --> 00:27:34,300 +ولذلك + +246 +00:27:34,300 --> 00:27:39,040 +الأسماء الموجودة عندي ليست أسماء عربية يعني كلها + +247 +00:27:39,040 --> 00:27:46,600 +من بلخ شقيق البلخي وإبراهيم بن أدهم البلخي ورابعة + +248 +00:27:46,600 --> 00:27:50,820 +العدوية ومعروف الكوفي والكوفي موطن التشييع + +249 +00:27:50,820 --> 00:27:58,240 +فهناك إذن ربط بين التصوف والتشيع أن مقدمات التصوف + +250 +00:27:58,240 --> 00:28:06,400 +نشأت بجوار التشييع من مأثور الكلام المعروف للكوفي + +251 +00:28:06,400 --> 00:28:14,380 +من كبر الله صراعه ومن نازعه قمعه ومن تواضعه له رفعه + +252 +00:28:14,380 --> 00:28:18,220 +ومن ما كرهه خدعه ومن توقّل عليه منعه إلى آخرهم + +253 +00:28:19,190 --> 00:28:25,750 +وهناك بشر الحافي الخراساني نزيل بغداد طبعًا نلاحظ + +254 +00:28:25,750 --> 00:28:31,410 +هنا لأن الأسماء طبعًا اقتبست بأية لأن مقدمة التصوف + +255 +00:28:31,410 --> 00:28:40,610 +يعني نشأت بفعل الفرص وطبعًا هذه النشأة ليست نشأة + +256 +00:28:40,610 --> 00:28:45,850 +عربية فالتصوف ليس خلقًا عربيًا كما الموجود أيضًا + +257 +00:28:48,760 --> 00:28:53,940 +بشر الحافي الخراساني نزيل بغداد كان يقول الفؤاد + +258 +00:28:53,940 --> 00:29:03,660 +يميت أفوا الجوع يصف الفؤاد ويميت الهوى ويُورث العلم + +259 +00:29:03,660 --> 00:29:10,880 +الدقيق والمتقلب في جوعه كالمتشحت في سبيل الله وإذا + +260 +00:29:10,880 --> 00:29:19,390 +أعجبك الكلام فاصمت وإذا أعجبك الصمت فتكلم يعني لو + +261 +00:29:19,390 --> 00:29:24,230 +وضعنا هذه العبارة في سياق نظرية الذهد وبداية + +262 +00:29:24,230 --> 00:29:30,830 +التصوف يعني ربما نضع أيدينا على المقدمات بشكل أية + +263 +00:29:30,830 --> 00:29:40,290 +سليم الجوع يصف الفؤاد فكان المتصوفة يعتمدون على + +264 +00:29:40,290 --> 00:29:46,510 +الجوع لينقي الجانب الروحي ويميت أية الهوى الذي هو + +265 +00:29:46,510 --> 00:29:51,700 +الميل إلى الشهوات ويُورث العلم الدقيق يعني يرتقي + +266 +00:29:51,700 --> 00:29:58,220 +الإنسان في التأمل التأمل الارتقائي يعني يرفع + +267 +00:29:58,220 --> 00:30:07,620 +الإنسان إلى درجة أعلى من الطبيعة وأعلى من الأشياء + +268 +00:30:07,620 --> 00:30:15,060 +المادية والمتقلب في جوعه كالمتشحط في دمه في سبيل + +269 +00:30:15,060 --> 00:30:24,100 +الله فجعله الذي يجوع ويتقلب من الجوع كمن يقتل في + +270 +00:30:24,100 --> 00:30:29,620 +سبيل الله وتشير أيضًا هذه المقولة مقولة بشر + +271 +00:30:29,620 --> 00:30:38,540 +الحافي إلى نظرية الأخلاق عند المتصوفة أو الذهد وهي + +272 +00:30:38,540 --> 00:30:45,020 +قائمة على صفات نفسية إذا أعجبك الكلام فاصمت وإذا + +273 +00:30:45,020 --> 00:30:50,260 +أعجبك الصمت فتكلم ولذلك نجد أن المفردات الأخلاقية + +274 +00:30:50,260 --> 00:30:58,340 +في نظرية الزهد هي الصمت والحلم والصبر والخشوع + +275 +00:30:58,340 --> 00:31:00,620 +والتذلل والانكسار + +276 +00:31:03,710 --> 00:31:08,550 +بعض المستشرقين حاولوا أن يربطوا الذهد الإسلامي بذهد + +277 +00:31:08,550 --> 00:31:14,210 +الرهبان النصارى نحن نقول كما قال شوكظيف أن الذهد في + +278 +00:31:14,210 --> 00:31:18,990 +القرن الأول من عمر الدولة العباسية كان ذهدًا + +279 +00:31:18,990 --> 00:31:25,160 +إسلاميًا يعني نابع من تعاليم الإسلام الحنيف وهذا لا + +280 +00:31:25,160 --> 00:31:33,880 +يمنع أن نجد هناك أساليب أساليب من ذهب النصارى أو ذهب + +281 +00:31:33,880 --> 00:31:43,140 +أية البوذيين أو المانويين أو أو ديانات أو ملل + +282 +00:31:43,140 --> 00:31:48,360 +أخرى هناك أساليب من الذهب لكن الذهب الإسلامي ظل + +283 +00:31:48,360 --> 00:31:55,520 +محافظًا على طبيعته الإسلامية في القرن الأول من + +284 +00:31:55,520 --> 00:32:01,440 +الدولة العباسية وهناك + +285 +00:32:01,440 --> 00:32:06,480 +فرق أصلاً بين الذهب الإسلامي وذهب الرهبان النصارى + +286 +00:32:06,480 --> 00:32:12,880 +ذلك أن الذهب الإسلامي قائم على عبادات إسلامية + +287 +00:32:12,880 --> 00:32:18,270 +وقائم على عقيدة التوحيد وعلى الإيمان باليوم الآخر + +288 +00:32:18,270 --> 00:32:25,850 +أما الذهب النصراني فقام على عقيدة التثليث الشيء + +289 +00:32:25,850 --> 00:32:31,510 +الثاني أن الذهب الذهب للنصارى قائم على الاتساخ + +290 +00:32:31,510 --> 00:32:38,030 +المقدس هناك نظرية الاتساخ المقدس عند النصارى فهم + +291 +00:32:38,030 --> 00:32:46,290 +يرون أن تسيخ الجسم وعدم الاهتمام بالنظافة الشخصية + +292 +00:32:46,290 --> 00:32:53,750 +يؤدي إلى ارتقاء الروح طبعًا هذا مخالف للإسلام + +293 +00:32:56,040 --> 00:32:59,880 +الذي دعا إلى النظافة الشخصية والاهتمام بالهيئة + +294 +00:32:59,880 --> 00:33:06,280 +والاهتمام بالطهارة ونحو ذلك والإسلام أيضًا أمر + +295 +00:33:06,280 --> 00:33:14,020 +بالزواج بينما الذهد النصراني دعا إلى العزوبية وهذا + +296 +00:33:14,020 --> 00:33:20,380 +طبعًا يدل على أن هناك خلافا أو اختلافا بين الذهد + +297 +00:33:20,380 --> 00:33:26,680 +الإسلامي وذهد النصارى أيضًا حاول المستشرق جولد سيهر + +298 +00:33:26,680 --> 00:33:32,280 +أن يلبس بين مقدمات نزعة التصوف الإسلامي وتعليمات + +299 +00:33:32,280 --> 00:33:37,740 +الأفلاطونية الحديثة طبعًا الأفلاطونية الحديثة تؤمن + +300 +00:33:37,740 --> 00:33:42,870 +أن الشيء لا أية للشيء يعني الحب لأجل الحب، والجمال + +301 +00:33:42,870 --> 00:33:47,250 +لأجل الجمال، لأجل نحن في الإسلام هذه الأشياء لها + +302 +00:33:47,250 --> 00:33:54,310 +مبتغى ديني، إرضاء الله سبحانه وتعالى، والحصول على + +303 +00:33:54,310 --> 00:34:00,230 +الأجر من الله سبحانه وتعالى يوم القيامة فالزهد + +304 +00:34:00,230 --> 00:34:09,190 +الإسلامي يؤمن بأن هناك أجرًا عظيمًا في الآخرة ينتظر + +305 +00:34:09,190 --> 00:34:14,550 +الإنسان الزاهد وأيضًا يريد أن يحقق رضا الله سبحانه + +306 +00:34:14,550 --> 00:34:21,550 +وتعالى أما الزهد الأفلاطوني الزهد لأجل الزهد فهو + +307 +00:34:21,550 --> 00:34:24,990 +لا يؤمن بالله ولا يؤمن باليوم الآخر + +308 +00:34:29,980 --> 00:34:35,960 +طبعًا كما قلت أن الذهب الإسلامي في هذا العصر أو في + +309 +00:34:35,960 --> 00:34:40,160 +القرن الأول من الدولة العباسية كان ذهدًا إسلاميًا + +310 +00:34:40,160 --> 00:34:47,460 +خاصة مع الإيمان بأن هناك أية مع الاعتراف بأن هناك + +311 +00:34:47,460 --> 00:34:53,580 +أساليب بأن هناك أساليب أخرى من ذهبي النصارى وذهبي + +312 +00:34:53,580 --> 00:35:01,100 +البوذيين والمانويين وغير ذلك بعد ذلك أخذت أية نزعة + +313 +00:35:01,100 --> 00:35:06,660 +تصوف تتعمق وأخذت + +314 +00:35:06,660 --> 00:35:11,440 +أية تشطح في الجانب الروحي وهنا يعني ممكن أن نفرق + +315 +00:35:11,440 --> 00:35:17,540 +بين الذهد الإسلامي والتصوف الذهد الإسلامي يركز على + +316 +00:35:17,540 --> 00:35:23,690 +العبادات وهو قيمة إسلامية لأن الله.. لأن الرسول + +317 +00:35:23,690 --> 00:35:28,690 +صلى الله عليه وسلم دعا إليها فقال ازهد في الدنيا + +318 +00:35:28,690 --> 00:35:33,930 +يحبك الله وازهد في مآيدي الناس يحبك الناس إذا + +319 +00:35:33,930 --> 00:35:38,250 +الذهب له قيمة إسلامية أما التصوف فليس قيمة + +320 +00:35:38,250 --> 00:35:43,290 +إسلامية إنما هو حالة إنسانية ابتدعها الإنسان فيما + +321 +00:35:43,290 --> 00:35:54,990 +بعد ولذلك التعرف على قيمة التصوف يكون أية؟ بإرجاعه + +322 +00:35:54,990 --> 00:36:01,210 +إلى الزهد إلى حقيقة الزهد فما وافق فيه الزهد + +323 +00:36:01,210 --> 00:36:06,790 +الإسلامي كان يعني مقبولًا أما إذا عارض الزهد + +324 +00:36:06,790 --> 00:36:10,840 +الإسلامي فهو أية؟ غير مقبول ولذلك قلنا إن التصوف + +325 +00:36:10,840 --> 00:36:18,100 +حالة إنسانية أما الذهب فهو أية قيمة إسلامية الشيء + +326 +00:36:18,100 --> 00:36:20,760 +الثاني أن الذهب يركّز على العبادات والتعليمات + +327 +00:36:21,480 --> 00:36:29,180 +الدينية والتعبدية لكن التصوف يعني يهتم بالجانب + +328 +00:36:29,180 --> 00:36:38,580 +الروحي بالحب الإلهي وطبعًا الزهد يركز على الطاعة و + +329 +00:36:38,580 --> 00:36:42,540 +هناك يركز عليه الحب وفرق بين أية الطاعة والحب + +330 +00:36:42,540 --> 00:36:49,640 +فبالطاعة والاتباع يتحصل الإنسان على ما هو أرقى من + +331 +00:36:49,640 --> 00:36:50,480 +الحب الإلهي + +332 +00:36:56,120 --> 00:37:02,780 +قال تعالى قُلْ إن كنتم تحبون الله فاتابعوني يحببكم + +333 +00:37:02,780 --> 00:37:12,420 +الله فبالاتباع والطاعة تحقق محبة الله لك وفرق + +334 +00:37:12,420 --> 00:37:21,880 +بين أن تحبه وأن تُحب فإن تُحب أفضل من أن تحب الذي + +335 +00:37:21,880 --> 00:37:29,830 +حصل أن حركة التصوف انحرفت لأنها تعمقت في الجانب + +336 +00:37:29,830 --> 00:37:38,770 +الروحي وممكن أن نبين أن حركة التصوف ارتبطت بحركة + +337 +00:37:38,770 --> 00:37:44,210 +الذهب في البدايات واختلفت في المآلات فلو نظرنا إلى + +338 +00:37:44,210 --> 00:37:50,430 +بدايات التصوف وجدنا أنه يرتبط بالزهد كما قالت + +339 +00:37:50,430 --> 00:37:56,490 +رابعة العدوية أحبك حبين حب الهوى وحب لأنك أهل لذاك + +340 +00:37:56,490 --> 00:38:01,950 +فأما الذي هو حب الهوى فشغلي بذكرك عما سواك وأما + +341 +00:38:01,950 --> 00:38:07,350 +الذي أنت له وأما الذي أنت أهل له فكشفك لي الحجاب + +342 +00:38:07,350 --> 00:38:15,680 +حتى أراك طبعًا هذا الحب يعني لا يعارض مفهوم الحب في + +343 +00:38:15,680 --> 00:38:21,840 +الذهب الإسلامي فهو حب أية مقبول لكن إذا نظرنا إلى + +344 +00:38:21,840 --> 00:38:29,270 +النهايات في قول الحلاج الحسين ابن منصور عندما قال + +345 +00:38:29,270 --> 00:38:36,270 +أنا من أهوى ومن أهوى أنا نحن روحاني حلولنا بدنا + +346 +00:38:36,270 --> 00:38:43,630 +فإذا أبصرتني أبصرته وإذا أبصرته أبصرتنا هنا نجد أن + +347 +00:38:43,630 --> 00:38:50,390 +التصوف يخرج عن الذهب الإسلامي بل يخرج عن الإسلام + +348 +00:38:51,260 --> 00:39:00,020 +بالكلية لأنه يؤمن بأن صفات الخالق والمخلوق سواء + +349 +00:39:00,020 --> 00:39:06,740 +نحن روحاني حلولنا بدنا يعني روح الخالق اتحدت بروح + +350 +00:39:06,740 --> 00:39:13,150 +المخلوق فإذا أبصرتني أبصرته، وإذا أبصرته أبصرتنا، + +351 +00:39:13,150 --> 00:39:18,030 +إذا أية؟ ساوى بين أية؟ الخالق والمخلوق وهذا يخرج + +352 +00:39:18,030 --> 00:39:27,010 +عن الإسلام عقيدة وشريعة إذا التصوف أو مقدمة التصوف + +353 +00:39:27,010 --> 00:39:32,910 +اتحدت في البدايات واختلفت في المآلات هذا وبالله + +354 +00:39:32,910 --> 00:39:37,250 +التوفيق وصلى اللهم على نبينا محمد وعلى آله وصحبه + +355 +00:39:37,250 --> 00:39:39,390 +وسلم تسليما كثيرا diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/FF2OJnsBtxQ_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/FF2OJnsBtxQ_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..1fa19d12cf36093a386c8c3589df3451e488351e --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/FF2OJnsBtxQ_postprocess.srt @@ -0,0 +1,1420 @@ +1 +00:00:05,030 --> 00:00:08,510 +بسم الله الرحمن الرحيم وأصلي وسلم على نبينا محمد + +2 +00:00:08,510 --> 00:00:13,330 +وعلى آله وصحبه وسلم تسليمًا كثيرًا في هذه المحاضرة + +3 +00:00:13,330 --> 00:00:20,030 +نتناول المؤثرات الاجتماعية في الأدب العباسي كنا في + +4 +00:00:20,030 --> 00:00:25,210 +المحاضرة السابقة قد ذكرنا بعضًا من هذه المؤثرات + +5 +00:00:25,210 --> 00:00:30,750 +المؤثرات اللي هي الحضارة والثراء والطرف وهذا حصل + +6 +00:00:30,750 --> 00:00:34,870 +بسبب التمازج الجنسي والحضاري والثقافي في هذا العصر + +7 +00:00:35,110 --> 00:00:40,630 +بين العربي والعجبى وأدى ذلك إلى تنوع ثقافى وحضارى + +8 +00:00:40,630 --> 00:00:47,830 +أيضا ثراء والطرف أدى إلى حصول الرفاهية التي هي فوق + +9 +00:00:47,830 --> 00:00:52,090 +الحد الكفاية التي كان يسعى عليها العربي في العصور + +10 +00:00:52,090 --> 00:00:57,540 +السابقةكان العربي في السابق يهتم بتحقيق الكفاية + +11 +00:00:57,540 --> 00:01:03,540 +أما في هذا العصر فأصبح يبحث عن الرفاهية وهذا ولد + +12 +00:01:03,540 --> 00:01:08,040 +في نفسه اتناعم والاسراب في المظاهر الاجتماعية + +13 +00:01:08,040 --> 00:01:14,500 +والمبالغة في وسائل الزينة والذخرف وهذا أدى بدوره + +14 +00:01:14,500 --> 00:01:21,940 +إلى خلق إحساس جمال عميقفي النفس في الأدب العربي + +15 +00:01:21,940 --> 00:01:28,160 +فارتقى العقل ورقى الإحساس أيضا تحدثنا عن الرقيق و + +16 +00:01:28,160 --> 00:01:33,980 +الجواري وكان له تأثير في تشكيل ظاهرة جديدة عرفت + +17 +00:01:33,980 --> 00:01:39,080 +بظاهرة التغذل بالغلمان من روادها مطيا ابن إياس + +18 +00:01:39,080 --> 00:01:46,510 +ووالبة ابن الحباب وأبو نوازأيضًا هذه الظاهرة، + +19 +00:01:46,510 --> 00:01:51,950 +ظاهرة الرقيق والجوالي أحدثت إحساسًا عميقًا بالجمال + +20 +00:01:51,950 --> 00:01:57,250 +ووضعت تصورًا جماليًا عند الشعر العباسي للمرأة + +21 +00:01:57,250 --> 00:02:03,630 +وأيضًا ولد إحساسًا رقيقًا عند الشعراء وهذا بدوره + +22 +00:02:03,630 --> 00:02:11,630 +أدى إلى ترقيق لغة الشعر في هذا العصرأيضًا كان من + +23 +00:02:11,630 --> 00:02:17,610 +تأثير الرقيق والجوالي ازهار فن الغناء في هذا العصر + +24 +00:02:17,610 --> 00:02:23,730 +وهو بدوره أعطى مجموعة من المؤثرات في الشعر العباسي + +25 +00:02:23,730 --> 00:02:31,510 +مثل ترقيق لغة الشعر ووجدنا أوزانا خفيفة ومجزوقة + +26 +00:02:31,510 --> 00:02:36,720 +تظهر بكثرة في هذا الشعرأيضًا وجدنا المقطعات + +27 +00:02:36,720 --> 00:02:44,400 +الشعرية أو القصائد ذات الأبيات المحدودة إذًا تركت + +28 +00:02:44,400 --> 00:02:50,280 +ظاهرة الرقيق والجواري أثرًا في الشعر العباسي كذلك + +29 +00:02:50,280 --> 00:02:58,260 +وجدنا صورًا إبداعية جديدة وكذلك وجدنا تمرضًا على + +30 +00:02:58,260 --> 00:03:03,780 +مقدمة القصيدة العربيةأيضًا تحدثنا في اللقاء السابق + +31 +00:03:03,780 --> 00:03:07,280 +عن المجوم واللهو وقلنا إن هذه ظاهرة غير عربية + +32 +00:03:07,280 --> 00:03:13,780 +لأنها منشأها التجاوز .. تجاوز الحدوث الطبيعية + +33 +00:03:13,780 --> 00:03:21,260 +للشهوات التي ظهرت في الحضارة الفارسية وانتقلت إلى + +34 +00:03:21,260 --> 00:03:25,860 +العرب تحت تأثير الحرية المسرفة التي تحدثنا عنها في + +35 +00:03:25,860 --> 00:03:31,100 +المؤثرات السياسيةفوجدنا تجاوزاً في التغذُل + +36 +00:03:31,100 --> 00:03:38,120 +بالغلمان والتغذُل بالصفات الصريحة للمرأة أو مفاتن + +37 +00:03:38,120 --> 00:03:43,460 +المرأة ورأينا أن الشعراء قد أكثر من الحديث عن + +38 +00:03:43,460 --> 00:03:48,740 +الخمر ووصفوا مجالسها وبلغوا في هذه الشهوة حتى + +39 +00:03:48,740 --> 00:03:55,500 +أخرجتهم من الدين فتجاوزواالأوامر الدينية والتعدي + +40 +00:03:55,500 --> 00:04:00,820 +على العقيدة الإسلامية كما بينا في اللقاء السابق + +41 +00:04:00,820 --> 00:04:07,520 +النقطة التي نشير اليها أيضًا من الظواهر الاجتماعية + +42 +00:04:07,520 --> 00:04:15,040 +هي الشعوبية والزندقة ومعنى الشعوبية هي تفضيل غير + +43 +00:04:15,040 --> 00:04:24,070 +العربي وذنب الجنس العربي تفضيلغير عربي وذنب الجنس + +44 +00:04:24,070 --> 00:04:29,670 +العربي ومعلوم أن الإسلام قد حرب الشعوبية ابتداء + +45 +00:04:29,670 --> 00:04:35,110 +وجعل مقياس التفاخر هو التقوى فقال تعالى إن أكرمكم + +46 +00:04:35,110 --> 00:04:40,350 +عند الله أتقاكموقال صلى الله عليه وسلم، «لا فرق + +47 +00:04:40,350 --> 00:04:47,090 +لعربي على عجمي إلا بالتقوى» وكان لسيطرة الروم .. + +48 +00:04:47,090 --> 00:04:53,770 +لسيطرة الفرس في هذه الفترة انطبعت الحياة بطابع + +49 +00:04:53,770 --> 00:04:59,830 +فارسي وذلك لأن الفرس كان لهم دور كبير في إقامة + +50 +00:04:59,830 --> 00:05:05,290 +دولة بني العباد فظهرت سلوكيات + +51 +00:05:06,430 --> 00:05:11,350 +ومواقف اتجاه العرب فقدموا الشعوب الأجنبية على + +52 +00:05:11,350 --> 00:05:17,510 +العرب وانتقصوا قدر العرب وحقروا شأنهم وكان دافع + +53 +00:05:17,510 --> 00:05:24,520 +ذلك سياسيا ذلك أن ال force شعروا بأنأو اعتقدوا بأن + +54 +00:05:24,520 --> 00:05:30,100 +العرب هم الذين أدالوا دولة الفرث وأنهم نقلوهم من + +55 +00:05:30,100 --> 00:05:39,740 +حياة التناعم والترف إلى حياة التقشف والشضف فكان + +56 +00:05:39,740 --> 00:05:46,780 +هناك أو نشأ هناك عداء للعرب لأنهم ضيقوا على هؤلاء + +57 +00:05:46,780 --> 00:05:55,490 +حياتهم ومعيشتهم الدنيويةورأوا أيضًا أن الفرس أحق + +58 +00:05:55,490 --> 00:06:01,430 +بالسيادة في هذا العصر فانتقصوا عادات العرب + +59 +00:06:01,430 --> 00:06:09,120 +وتقاليدهم وتقاليدهم في المعيشة والاجتماع وغيرهامما + +60 +00:06:09,120 --> 00:06:15,860 +لا تتفق مع عادات الفرس وتقاليدهم فقد رأينا أنهم قد + +61 +00:06:15,860 --> 00:06:22,700 +أسرفوا في اللهو والمجون وهناك دافع أيضًا لمعادات + +62 +00:06:22,700 --> 00:06:28,660 +العرب وهو أن هؤلاء العرب هم الذين يقودون الأمة + +63 +00:06:28,660 --> 00:06:37,380 +ويقودون البشريةأما الذندقة فهي لفظ فارسي معرّب + +64 +00:06:37,380 --> 00:06:47,920 +أصلها مأخوذ من كلمة الـ Zendethist وهي كلمة فارسية + +65 +00:06:47,920 --> 00:06:54,760 +تُطلَق على الكتاب المقدس عند المجوزوشاعت هذه + +66 +00:06:54,760 --> 00:07:02,260 +الكلمة في المجتمع العباسي وحُرفت إلى كلمة زندقة + +67 +00:07:02,260 --> 00:07:09,520 +لتطلق هذه الكلمة على كل من يتهاوى في الدين أو يهزأ + +68 +00:07:09,520 --> 00:07:16,200 +بتعليماته وعباداته أو يتجرأ اسرافا في المعاصي + +69 +00:07:16,200 --> 00:07:21,720 +والمنكرات أو يقول بمقالة بعض الكفار ويؤمنوا + +70 +00:07:22,580 --> 00:07:28,960 +بعقائدهم وعلى كل من يتأثر بالفرث في عاداتهم ويسترف + +71 +00:07:28,960 --> 00:07:36,180 +في العبث والمجون فالزندقة إذا هي بغض الإسلام وأهله + +72 +00:07:36,180 --> 00:07:43,020 +وتعاليمه ثم اتباع طرق أصحاب الملل والنحل الضالة + +73 +00:07:43,020 --> 00:07:49,300 +والأهواء الفاسدة والأفعال الملحلةوهناك علاقة بين + +74 +00:07:49,300 --> 00:07:54,380 +الشعوبية والزندقة، فالشعوبية عام، وهي مقدمة + +75 +00:07:54,380 --> 00:07:57,460 +للزندقة، + +76 +00:07:57,460 --> 00:08:02,720 +ويقول الجاحظ في الربط بين الزندقة والشعوبية، إن + +77 +00:08:02,720 --> 00:08:09,660 +عامة من ارتاب بالإسلام يعني عامة الزنادقة، إنما + +78 +00:08:09,660 --> 00:08:16,010 +كان أول ذلك رأي الشعوبية، يعني كان شعوبياً،ثم + +79 +00:08:16,010 --> 00:08:21,530 +تمادى في هذا الرأي والتمادى فيه وطول الجزال المؤدى + +80 +00:08:21,530 --> 00:08:27,590 +الى الضلال فإذا أبغض شيئا أبغض أهله وإذا أبغض تلك + +81 +00:08:27,590 --> 00:08:32,630 +اللغة أبغض تلك الجزيرة وإذا أبغض تلك الجزيرة أحب + +82 +00:08:32,630 --> 00:08:38,170 +من أبغض تلك الجزيرة فلا زالت أو فلا تزال الحالات + +83 +00:08:38,170 --> 00:08:47,360 +تتنقل به حتى ينسلخ عن الإسلامهناك ربط بين الشعوبية + +84 +00:08:47,360 --> 00:08:56,540 +والزندقة فالشعوبية أعم والزندقة أخص فكل زندق شعوبي + +85 +00:08:56,540 --> 00:09:02,800 +وليس كل شعوبي زندق لأن من الشعوبية من يكره العرب + +86 +00:09:02,800 --> 00:09:09,200 +ولكنه يحب الإسلام يكره حياة العرب وعاداتهم + +87 +00:09:09,200 --> 00:09:12,920 +وعاداتهم ولكنه يحب الإسلام + +88 +00:09:15,740 --> 00:09:21,640 +وقد كان للزندقة والزنادقة حضور بارز في الحياة + +89 +00:09:21,640 --> 00:09:26,900 +الثقافية والدينية والاجتماعية وكان تأثيرهم خطيرًا + +90 +00:09:26,900 --> 00:09:33,280 +مما دفع خلفاء بني العباس للتصدي لهم فأقاموا لهم + +91 +00:09:33,280 --> 00:09:39,360 +المشانق وفتحوا لهم السجون فقُتل منهم من قُتل وصُلب + +92 +00:09:39,360 --> 00:09:45,810 +من صُلبوكان منهم بشار نبورد وصالح ابن عبد القدوس + +93 +00:09:45,810 --> 00:09:53,910 +وتصدى للزنادقة المعتزلة وهم خير مذهب في هذا العصر + +94 +00:09:53,910 --> 00:10:00,110 +يتصدى للزنادقة ويدافع عن الإسلام من شرورهم + +95 +00:10:00,110 --> 00:10:08,900 +وأحقادهم ومعتقداتهم الفاسدةهذا مظهر اجتماعي ثالث + +96 +00:10:08,900 --> 00:10:15,500 +أما المظهر الرابع فهو ظاهرة الزهد ومعنى الزهد هو + +97 +00:10:15,500 --> 00:10:21,300 +يعني في تعريف موجز الزهد هو ترك شيء من المباح أو + +98 +00:10:21,300 --> 00:10:27,500 +الحلال مخافة الوقوع في الحرام وبذلك نجد أن الزاهد + +99 +00:10:27,500 --> 00:10:34,700 +ليس كالإنسان العادى الذي يترك الحرامفالزهد يترك + +100 +00:10:34,700 --> 00:10:40,720 +الحرام وشيء من الحلال مخافة أن يقع في الحرام، فهو + +101 +00:10:40,720 --> 00:10:44,440 +ابتعد مسافة بعيدة عن الحرام أكثر من الإنسان + +102 +00:10:44,440 --> 00:10:49,940 +العادي، ولذلك الزهد في أبسط التعريف له ترك شيء من + +103 +00:10:49,940 --> 00:10:56,740 +الحلال أو المباحي مخافة الوقوع في الحرام،وهذا + +104 +00:10:56,740 --> 00:11:05,160 +يحتاج إلى مجهودات تعبدية ونفسية وسلوكية ليرتقي + +105 +00:11:05,160 --> 00:11:13,180 +الإنسان إلى هذه الدرجة لأن الترك يكون أعلى، فهو + +106 +00:11:13,180 --> 00:11:20,670 +يحتاج إلى جهد نفسي أسمىوهذا لا يتوفر للإنسان + +107 +00:11:20,670 --> 00:11:26,370 +العادى أما فلسفته فتقوم على أمرين الأمر الأول + +108 +00:11:26,370 --> 00:11:32,330 +تهذيب الرغبة الإنسانية في حب البقاء الشيء الثاني + +109 +00:11:32,330 --> 00:11:37,710 +تهذيب الرغبة الإنسانية في حب التملكفي حب البقاء + +110 +00:11:37,710 --> 00:11:45,190 +نجد أن الزهاد يركزون على حقيقة الموت والفناء فلذلك + +111 +00:11:45,190 --> 00:11:52,430 +نجد أن شعر الزهدي يكثر من هذه الظاهرة أيضا تهذيب + +112 +00:11:52,430 --> 00:11:57,070 +الرغبة الإنسانية في حب التملك من خلال القناعة + +113 +00:11:57,070 --> 00:12:03,730 +تأكيد على القناعة والرضا بالقليل ولذلك نجد شعر + +114 +00:12:03,730 --> 00:12:12,500 +الزهد يركزفي مجمله على هذه الأمور هناك تعريفات + +115 +00:12:12,500 --> 00:12:19,120 +كثيرة للزهد لكن التعريف الذي قلناه يكفي ويسد بدل + +116 +00:12:19,120 --> 00:12:24,720 +هذه التعريفات الكثيرة وكلها جيدة هناك ملاحظات + +117 +00:12:24,720 --> 00:12:32,470 +تتعلق بحركة الزهدالملاحظة الأولى أن حركة الذهد + +118 +00:12:32,470 --> 00:12:40,150 +كانت ردة فعل لحركة المجون واللهو فإذا كانت حركة + +119 +00:12:40,150 --> 00:12:43,710 +المجون واللهو قد أصابت الطبقة العليا في المجتمع + +120 +00:12:43,710 --> 00:12:50,210 +فإن حركة الذهد أصابت وانتشرت بين العامة ولكنها مع + +121 +00:12:50,210 --> 00:12:59,110 +ذلك طرقت قصورة الخلفاءعلى نحو ما رأينا عند عمر بن + +122 +00:12:59,110 --> 00:13:03,970 +الأبيض في وعظه للمنصور وصالح بن عبد الجليل في وعظه + +123 +00:13:03,970 --> 00:13:12,590 +للمهدي وابن السماك في وعظه لهارون الرشيد من كلامه + +124 +00:13:12,590 --> 00:13:20,950 +من كلام ابن السماك قوله الدنيا كلها قليل والذي بقي + +125 +00:13:20,950 --> 00:13:27,630 +منها في جنب الماضي قليلوالذي لك من الباقي قليل ولم + +126 +00:13:27,630 --> 00:13:34,790 +يبقى من قليلك إلا القليل هذه عبارة لبن السماك لو + +127 +00:13:34,790 --> 00:13:41,360 +سألنا سؤالا وقلناضع هذه العبارة أو ضع هذه العبارة + +128 +00:13:41,360 --> 00:13:46,900 +في سياق نظرية الذهد وما هي الإمكانات الأسلوبية أو + +129 +00:13:46,900 --> 00:13:51,920 +المهارات الأسلوبية التي استعملها ابن السماك + +130 +00:13:51,920 --> 00:14:05,180 +للتعبير عن نظرية الذهد نلاحظ أنه من حيثه من حيثه + +131 +00:14:05,180 --> 00:14:10,420 +فلسفة الذهد أنها تقوم علىتهذيب الرغبة الإنسانية في + +132 +00:14:10,420 --> 00:14:14,940 +حب البقاء كما قلنا وحب التملك فقال الدنيا كلها + +133 +00:14:14,940 --> 00:14:21,780 +قليل طبعا هذا المقياس انبنى على إحداث مقارنة بين + +134 +00:14:21,780 --> 00:14:28,540 +الدنيا والآخرة فالدنيا بالنسبة للآخرة قليل لأن + +135 +00:14:28,540 --> 00:14:33,560 +الآخرة فيها ما لا عين رأت ولا أذن سمعت ولا خطر على + +136 +00:14:33,560 --> 00:14:42,170 +قلب البشرفالدنيا إذا وفقًا للآخرة هي قليل نلاحظ أن + +137 +00:14:42,170 --> 00:14:50,790 +ابن السماك عمق معنى القلة اللي يتسق مع حقيقة + +138 +00:14:50,790 --> 00:14:57,870 +الفناء وحقيقة .. و الرضا بالقليل و القناعة بالقليل + +139 +00:14:58,910 --> 00:15:04,210 +قال الدنيا كلها قليل والذي بقي منها في جنب الماضي + +140 +00:15:04,210 --> 00:15:09,990 +قليل نلاحظ هنا فيه مهارات أسلوبية تمثلت في إحداث + +141 +00:15:09,990 --> 00:15:21,590 +مقارنة بين الحاضر والماضي بين الدنيا والآخرة الشيء + +142 +00:15:21,590 --> 00:15:27,550 +الثاني أنه يكذب كلمة قليلالدنيا كلها قليل والذي + +143 +00:15:27,550 --> 00:15:36,410 +بقي منها في جنب الماضي قليل والذي لك من الباقي + +144 +00:15:36,410 --> 00:15:46,070 +قليلولم يبقى من قليلك إلا القليل فنلاحظ هنا إيه أن + +145 +00:15:46,070 --> 00:15:51,970 +ابن السماك لؤكد على نظريتي وفلسفة الذهب وهي تحطيم + +146 +00:15:51,970 --> 00:15:56,670 +أو تهذيب الرغبة في حب البقاء من خلال تأكيد على + +147 +00:15:56,670 --> 00:16:06,010 +حقيقة الفناء والقلة والقناعة والرضا بالقليلأيضًا + +148 +00:16:06,010 --> 00:16:10,430 +من المظاهر الأسلوبية التي اعتمد عليها الذهاب + +149 +00:16:10,430 --> 00:16:19,970 +والنساق وشعراء وعاض الذهب هو الأسلوب القصصي ذلك أن + +150 +00:16:19,970 --> 00:16:28,950 +الأسلوب القصصي يعرض فكرة الذهب أو نظرية الذهب من + +151 +00:16:28,950 --> 00:16:34,780 +كونها فكرة أو نظرية مجردة إلى نموذجيعني يُعبّي + +152 +00:16:34,780 --> 00:16:41,260 +عناضيه الذهب من خلال نموذج إنساني لأن القصة تقوم + +153 +00:16:41,260 --> 00:16:50,460 +على إيه؟ تقوم على شخصية وعلى حبكة وعلى أحداث + +154 +00:16:50,460 --> 00:16:56,060 +ومواقففهذا إيه يحدث إيه جاذبية عند المتلقى ولذلك + +155 +00:16:56,060 --> 00:17:02,600 +يعني اعتمد الوعاض على الأسطوب القصصي وخاصة أيه + +156 +00:17:02,600 --> 00:17:09,560 +المثير الذي يعني يعتمد على الأمور فوق المعتادة + +157 +00:17:09,560 --> 00:17:16,740 +فالقصة يعني تأتي بمواقف إنسانية رائعة تركز على + +158 +00:17:16,740 --> 00:17:24,650 +النموذج الإنسانيعلى الموقف النموذج، على القيم + +159 +00:17:24,650 --> 00:17:30,790 +الغفيعة العالية، ولذلك + +160 +00:17:30,790 --> 00:17:40,950 +اعتمد الوعاض والقصاص على الأسلوب القصصي، وكان طبعا + +161 +00:17:40,950 --> 00:17:45,410 +بجانب هؤلاء القصاص والوعاض كثير من المتسوق أيضا، + +162 +00:17:45,410 --> 00:17:50,760 +ولهم مقولات كثيرة،يعني لو رجعنا إلى كتاب البيان + +163 +00:17:50,760 --> 00:17:54,700 +والتبيين للجاحظ وعيون الأخبار لمن القتيبة والعقل + +164 +00:17:54,700 --> 00:18:00,020 +الفريد لمن عبد ربه سنجد هناك مانثورات رائعة لمشهير + +165 +00:18:00,020 --> 00:18:07,360 +الوعاض والنساك أمثال سوفيان الثوري ودوود الطائي + +166 +00:18:07,360 --> 00:18:12,520 +وعبد الله بن المبارك والفضيل ابن عياض وسوفيان بن + +167 +00:18:12,520 --> 00:18:21,120 +عيينةالذي يقول فكرك في رزق غد يُكتب عليك خطيئة كما + +168 +00:18:21,120 --> 00:18:25,600 +قلنا طبعا هذه العبارة تتسق مع نظرية الذهبفكما قلنا + +169 +00:18:25,600 --> 00:18:33,760 +من قبل أن الذهد هو ترك شيء من المباحي أو الحلالي + +170 +00:18:33,760 --> 00:18:40,480 +مخافة الوقوع في الحرام فالتفكير في رزق غد ليس + +171 +00:18:40,480 --> 00:18:46,720 +حراما بل هو حلال قال فكرك يعني تفكيرك أقام الإسم + +172 +00:18:46,720 --> 00:18:52,320 +مقام المصدر لأن الإسم أثبت من المصدر لأن المصدر + +173 +00:18:52,320 --> 00:18:57,250 +متحول من الفعليعني المصدر أقرب إلى الفعل من الاسم + +174 +00:18:57,250 --> 00:19:01,750 +فهو يريد إيه؟ هنا طبعا فيه مهارة اسلوبية أنه إيه؟ + +175 +00:19:01,750 --> 00:19:08,190 +أنه يستعمل الاسم بدل المصدر ليثبت إيه المعنى فقال + +176 +00:19:08,190 --> 00:19:15,550 +فكرك يعني تفكيرك في رزق غد يُكتب عليك خطيئة هذا + +177 +00:19:15,550 --> 00:19:24,490 +وفقا إيه لنظرية الذهبلأن الإنسان الزاهد يعني ليس + +178 +00:19:24,490 --> 00:19:28,710 +كالإنسان العادى، الإنسان الزاهد يعني يجعل من + +179 +00:19:28,710 --> 00:19:33,350 +المباحات .. من الأشياء المباحة حراما عليه، وإن كان + +180 +00:19:33,350 --> 00:19:38,920 +هو يقل بأنها مباحة للمسلمين، لكن هويعني يبتعد عن + +181 +00:19:38,920 --> 00:19:44,720 +إيه هذه المباحات ليجعل بينه وبين الحرام مسافة إيه + +182 +00:19:44,720 --> 00:19:51,800 +بعيدة فلذلك الزهاد والنساك ليسوا كالمسلم العادى + +183 +00:19:51,800 --> 00:19:58,200 +الناسك أو الإنسان الذاهب ربما يجعل يعني من السنة + +184 +00:19:58,200 --> 00:20:09,750 +فرضا عليه يعني يجعل أموريعني أمور يعني سنة في + +185 +00:20:09,750 --> 00:20:15,190 +فعلها لكن هو يراها فرضا مثل إيه؟ يعني أن يرى صوم + +186 +00:20:15,190 --> 00:20:20,990 +كل إثنين وخميس يراه فرضا عليه وإن كان هو إيه من + +187 +00:20:20,990 --> 00:20:25,910 +السنة وهذا طبعا إيه؟ يعني نوع من إيه؟ من تعظيم + +188 +00:20:25,910 --> 00:20:34,310 +الله سبحانه وتعالىبالإكثار من الاتزان بالعبادات + +189 +00:20:34,310 --> 00:20:42,910 +ومن تعزيز الشعور بتذل لله سبحانه وتعالى بأن يحيل + +190 +00:20:42,910 --> 00:20:51,710 +السنن إلى فرائض ونحو ذلكوهذا طبعا يعني موجود عند + +191 +00:20:51,710 --> 00:20:57,570 +الشعراء عند أبي تمام عندما كان يمدح فيقول يعني وما + +192 +00:20:57,570 --> 00:21:06,210 +أزورك إلا فريضة و آتي جميع الناس إلا تنفلها فهو + +193 +00:21:06,210 --> 00:21:12,590 +يجعل الناس فرضا عليه تعظيماالمبدوعة وهكذا كان + +194 +00:21:12,590 --> 00:21:18,790 +الازهاد يرون النافلة طريضة وذلك تعظيمًا لله سبحانه + +195 +00:21:18,790 --> 00:21:26,990 +وتعالى وتهذيبًا للنفس أيضًا إذا فكرك في رزقي غد + +196 +00:21:26,990 --> 00:21:33,680 +يُكتب عليه خطيئة طبعًا هذا ضمن نظرية الزهدأه ومن + +197 +00:21:33,680 --> 00:21:39,200 +أقواله أيضًا لا يمنع أحدكم لا يمنع أحدكم من الدعاء + +198 +00:21:39,200 --> 00:21:46,040 +ما يعلموا من نفسه فإن الله قد استجاب دعاء شر الخلق + +199 +00:21:46,040 --> 00:21:51,870 +وهو إبليسقال ربي أنظرني إلى يوم يبعثون قال إنك من + +200 +00:21:51,870 --> 00:22:01,050 +المنظرين أيضًا من الملاحظات التي توجه إلى حركة + +201 +00:22:01,050 --> 00:22:09,980 +الذهب أنها يعني كانت ردة فعلوليست حركة ممنهجة يعني + +202 +00:22:09,980 --> 00:22:16,880 +حركة قامت على ردة فعل من خلال أيه يعني علاقة + +203 +00:22:16,880 --> 00:22:22,880 +اجتماعية فإذا كان المجنون و لاهم يختصوا بالطبقة + +204 +00:22:22,880 --> 00:22:28,820 +الخاصة فإن الذهب يختص بالطبقة أو انتشرت الطبقة في + +205 +00:22:28,820 --> 00:22:35,660 +العامةالرد الفعل وليست حركة منهجية لأن من شأن + +206 +00:22:35,660 --> 00:22:46,840 +حركات ردة الفعل أن تؤسس للمشاكل أو عيوب أو عوار + +207 +00:22:46,840 --> 00:22:55,040 +يعيق هذه الحركة ويحففها أو يحدث انحرافات لأن حركة + +208 +00:22:55,040 --> 00:23:00,260 +الردة الفعلتوجد شلبيات وأحيانًا انحرافات + +209 +00:23:00,260 --> 00:23:07,760 +واستثناءات داخل الحركة مع مرور الزمن ربما يعني + +210 +00:23:07,760 --> 00:23:17,140 +تنقلب في الاتجاه المعاكس فتتحول إلى شلبياتفإذا + +211 +00:23:17,140 --> 00:23:23,220 +بحركة الذهب عندما تستمر في الأجالة السابقة تتحول + +212 +00:23:23,220 --> 00:23:34,510 +إلى تصوف مزموم كما رأينا عند الحلاج وغيرهاهناك فيه + +213 +00:23:34,510 --> 00:23:45,950 +ملاحظة يعني تاريخية مهمة لتفسير حركة الذهد وربما + +214 +00:23:45,950 --> 00:23:55,080 +تؤشر إلى عملية انحرار فيما بعد يعني يقال أنأنا من + +215 +00:23:55,080 --> 00:23:59,820 +مشهوري أنساك عبدالواحد بن زيد الذي أنشأ أول رباط + +216 +00:23:59,820 --> 00:24:06,240 +أو صومعة في عبادان قرب الكوفة وفيها يقول أبو + +217 +00:24:06,240 --> 00:24:11,400 +العتاهية سقى الله عبادان غيثا مجللا فإن لها فضلا + +218 +00:24:11,400 --> 00:24:17,540 +جديدا وأولا وثبت من فيها مقيمة مرابطة فما إن أرا + +219 +00:24:17,540 --> 00:24:25,640 +عنها له متحولةوأخذت تقامي الربطات طبعا نلاحظ طبعا + +220 +00:24:25,640 --> 00:24:34,700 +هنا يعني يعني في مجال للتفكير وغبط بين المقدمات + +221 +00:24:34,700 --> 00:24:40,520 +والنتائج أن هذه يعني أن هذه النشأة + +222 +00:24:42,990 --> 00:24:52,070 +للرباطات تدل على ربط بين التصوف والتشييع لأن هذا + +223 +00:24:52,070 --> 00:24:57,230 +الرباط أنشئ قرب الكوفة والكوفة كما ذكرنا موطن + +224 +00:24:57,230 --> 00:25:05,580 +التشييعهذه طبعًا نوع من التحليل نوع من التفسير أو + +225 +00:25:05,580 --> 00:25:10,380 +وجهة النظر على الأقل يعني أن التشييع .. أن التصوف + +226 +00:25:10,380 --> 00:25:17,360 +ارتبط ابتداء بالتشييع أيضًا + +227 +00:25:17,360 --> 00:25:22,300 +من الملاحظات أن حركة الذهب ارتبط بها منظومة + +228 +00:25:22,300 --> 00:25:29,220 +أخلاقيةكما قلنا إن حركة الذهب تقوم على تهذيب النفس + +229 +00:25:30,160 --> 00:25:39,300 +بالرضب القليل والاستعداد للرحيل وتعزيز حقيقة الموت + +230 +00:25:39,300 --> 00:25:43,640 +والفناء في الإنسان اتبعت بها مجموعة من الأخلاق + +231 +00:25:43,640 --> 00:25:52,200 +النفسية مثل الصبر والتذلل والخضوع والصمم والحلم + +232 +00:25:52,200 --> 00:26:04,690 +فهذه البثقت من نظرية الذهبمن الراعي الأول في + +233 +00:26:04,690 --> 00:26:12,670 +التصوف أو الميل الذهب إلى النزع التصوفية نراها عند + +234 +00:26:12,670 --> 00:26:19,130 +إبراهيم بن أدهم البلخي ورابع العدوية وشقيق البلخي + +235 +00:26:19,130 --> 00:26:28,020 +تلميذ ابن أدهموقال إنه أول من تكلم في التصوف وعلوم + +236 +00:26:28,020 --> 00:26:32,520 +الأحوال بخراسان وأشاع مبدأ التوكل ومعروف الكوفي + +237 +00:26:32,520 --> 00:26:40,840 +إذًا هنا في علامة أيضًا تجعل القارئ أن يفكر ماليًا + +238 +00:26:40,840 --> 00:26:51,770 +أن التصوف قدم من بلادي ثارس ومن خراسانو من ورا ايه + +239 +00:26:51,770 --> 00:27:01,250 +النهر يعني التصوف ليس خلقا عربيا كان هناك ايه + +240 +00:27:01,250 --> 00:27:06,810 +الذهب كان هناك صبر عند العرب الصبر على الجوع الصبر + +241 +00:27:06,810 --> 00:27:11,450 +على العتش كان عندهم .. عندهم ايه كرامة و لذا لم + +242 +00:27:11,450 --> 00:27:15,690 +ينشأ عندهم ايه المجنون ولا لهو كما لم ينشأ عندهم + +243 +00:27:15,690 --> 00:27:22,100 +ايه التصوفإذا إيه؟ الموجود له عادة فارسية والتصوف + +244 +00:27:22,100 --> 00:27:30,740 +أيضًا عادة فارسية يعني ورثة من ثقافة الفارسية + +245 +00:27:30,740 --> 00:27:34,300 +ولذلك + +246 +00:27:34,300 --> 00:27:39,040 +الأسماء الموجودة عندي ليست أسماء عربية يعني كلها + +247 +00:27:39,040 --> 00:27:46,600 +من بلخ شقيق البلخي وإبراهيم بن أدم البلخيورابع + +248 +00:27:46,600 --> 00:27:50,820 +العدوية ومعروف الكوفي والكوفي الموطني التشيوع + +249 +00:27:50,820 --> 00:27:58,240 +فهناك إذن ربط بين التصوف والتشيوع أن مقدمات التصوف + +250 +00:27:58,240 --> 00:28:06,400 +نشأت بجوال التشيوع من مأثور الكلام المعروف للكوفي + +251 +00:28:06,400 --> 00:28:14,380 +من كبر الله صراعه ومن نازعه قمعه ومن تواضعهله رفعه + +252 +00:28:14,380 --> 00:28:18,220 +ومن ما كرهه خدعه ومن توقّل عليه منعه إلى آخرهم + +253 +00:28:19,190 --> 00:28:25,750 +وهناك بشر الحافي الخواساني نزيل بغداد طبعا نلاحظ + +254 +00:28:25,750 --> 00:28:31,410 +هنا لأن الأسماء طبعا اقتشع بإيه لأن مقدمة التصوف + +255 +00:28:31,410 --> 00:28:40,610 +يعني نشأت بفعل الفرص وطبعا هذه النشأة ليست نشأة + +256 +00:28:40,610 --> 00:28:45,850 +عربية فالتصوف ليس خلقا عربيا كما الموجود أيضا + +257 +00:28:48,760 --> 00:28:53,940 +بشر الحافي الخرسان النزيل بغداد كان يقول الفؤاد + +258 +00:28:53,940 --> 00:29:03,660 +يميت أفوا الجوع يصف الفؤاد ويميت الهوى ويونث العلم + +259 +00:29:03,660 --> 00:29:10,880 +الدقيق والمتقلب في جوعه كالمتشحت في سبيل الله وإذا + +260 +00:29:10,880 --> 00:29:19,390 +أعجبك الكلام فاصمت وإذا أعجبك الصمت فتكلميعني لو + +261 +00:29:19,390 --> 00:29:24,230 +وضعنا هذه الإعبارة في سياقي نظرية الذهد وبداية + +262 +00:29:24,230 --> 00:29:30,830 +التصوف يعني ربما نضع أيدينا على المقدمات بشكل إيه + +263 +00:29:30,830 --> 00:29:40,290 +سليم الجوع يصف الفؤاد فكان المتصوفة يعتمدون على + +264 +00:29:40,290 --> 00:29:46,510 +الجوع لينقي الجانب الروحي ويميت إيه الهوى اللي هو + +265 +00:29:46,510 --> 00:29:51,700 +الميل إلى الشهواتويورث العلم الدقيق يعني يرتقي + +266 +00:29:51,700 --> 00:29:58,220 +الإنسان في التأمل التأمل الإرتقائي يعني يرفع + +267 +00:29:58,220 --> 00:30:07,620 +الإنسان إلى درجة أعلى من الطبيعة وأعلى من الأشياء + +268 +00:30:07,620 --> 00:30:15,060 +المادية والمتقلب في جوعه كالمتشحط في دمه في سبيل + +269 +00:30:15,060 --> 00:30:24,100 +الله فجعلهالذي يجوع ويتقلب من الجوع كمن يقتل في + +270 +00:30:24,100 --> 00:30:29,620 +سبيل الله وتشير أيضًا هذه المقولة مقولة بشير + +271 +00:30:29,620 --> 00:30:38,540 +الحافي إلى نظرية الأخلاق عند المتصوفة أو الذهد وهي + +272 +00:30:38,540 --> 00:30:45,020 +قائمة على صفات نفسية إذا أعجبك الكلام فاصمتوإذا + +273 +00:30:45,020 --> 00:30:50,260 +أعجبك الصمت فتكلم ولذلك نجد أن المفرضات الأخلاقية + +274 +00:30:50,260 --> 00:30:58,340 +في نظري الزهد هو الصمت والحلم والصبر والخشوع + +275 +00:30:58,340 --> 00:31:00,620 +والتذلل والانكسار + +276 +00:31:03,710 --> 00:31:08,550 +بعض المستشرفين حاولوا أن يربط الذهد الإسلامي بذهد + +277 +00:31:08,550 --> 00:31:14,210 +الرحمن النصرى نحن نقول كما قال شوكظيف أن الذهد في + +278 +00:31:14,210 --> 00:31:18,990 +القرن الأول من عمري الدولة العباسية كان ذهدا + +279 +00:31:18,990 --> 00:31:25,160 +إسلاميايعني نابع من تعاليم الإسلام الحليفة وهذا لا + +280 +00:31:25,160 --> 00:31:33,880 +يمنع أن نجد هناك أسراب أسراب من ذهب النصارى أو ذهب + +281 +00:31:33,880 --> 00:31:43,140 +إيه البوذريين أو المانويين أو أو ديانات أو ملال + +282 +00:31:43,140 --> 00:31:48,360 +أخرى هناك أسراب من الذهبلكن الذهب الإسلامي ظل + +283 +00:31:48,360 --> 00:31:55,520 +محافظاً على طبيعته الإسلامية في القرن الأول من + +284 +00:31:55,520 --> 00:32:01,440 +الدولة العباسية وهناك + +285 +00:32:01,440 --> 00:32:06,480 +فرق أصلا بين الذهب الإسلامي وذهب المتصوفة المصارى + +286 +00:32:06,480 --> 00:32:12,880 +ذلك أن الذهب الإسلامي قائم على عبادات إسلامية + +287 +00:32:12,880 --> 00:32:18,270 +وقائم على عقيد التوحيدوعلى الإيمان باليوم الآخر + +288 +00:32:18,270 --> 00:32:25,850 +أما الذهب النصراني فقام على عقيدة التثليثالشيء + +289 +00:32:25,850 --> 00:32:31,510 +التاني أن الذهب الذهب للنصارى قائم على الاتساخ + +290 +00:32:31,510 --> 00:32:38,030 +المقدس هناك نظرية الاتساخ المقدس عند النصارى فهم + +291 +00:32:38,030 --> 00:32:46,290 +يرون أن توسيخ الجسم وعدم الاهتمام بالنظافة الشخصية + +292 +00:32:46,290 --> 00:32:53,750 +يؤدي إلى إرتقاء الروح طبعا هذا مخالف للإسلام + +293 +00:32:56,040 --> 00:32:59,880 +الذي دعا إلى النظافة الشخصية والاهتمام بالهيئة + +294 +00:32:59,880 --> 00:33:06,280 +والاهتمام بالطهارة ونحو ذلك والإسلام أيضًا أمر + +295 +00:33:06,280 --> 00:33:14,020 +الزواج بينما الذهد النصراني دعا إلى العزوبية وهذا + +296 +00:33:14,020 --> 00:33:20,380 +طبعًا يدل على أن هناك خلافة أو اختلاف بين الذهد + +297 +00:33:20,380 --> 00:33:26,680 +الإسلامي وذهد النصارىأيضًا حاول المستشرق جولد سيهر + +298 +00:33:26,680 --> 00:33:32,280 +أن يلبط بين مقدمات نزعة التصوف الإسلام وتعاليم + +299 +00:33:32,280 --> 00:33:37,740 +الأفلاطونية الحديثة طبعًا الأفلاطونية الحديثة تؤمن + +300 +00:33:37,740 --> 00:33:42,870 +أن الشيء لا أيه للشيءيعني الحب لأجل الحب، والجمال + +301 +00:33:42,870 --> 00:33:47,250 +لأجل الجمال، لأ أحنا في الإسلام هذه الأشياء لها + +302 +00:33:47,250 --> 00:33:54,310 +مبتغة ديني، أرضاء الله سبحانه وتعالى، و الحصول على + +303 +00:33:54,310 --> 00:34:00,230 +الأجر من الله سبحانه وتعالى يوم القيامةفالزهد + +304 +00:34:00,230 --> 00:34:09,190 +الإسلامي يؤمن بأن هناك أجرا عظيما في الآخرة ينتظر + +305 +00:34:09,190 --> 00:34:14,550 +الإنسان الزاهد وأيضا يريد أن يحقق رضا الله سبحانه + +306 +00:34:14,550 --> 00:34:21,550 +وتعالى أما الزهد الأفلاطوني الزهد لأجل الزهد فهو + +307 +00:34:21,550 --> 00:34:24,990 +لا يؤمن بالله ولا يؤمن باليوم الآخر + +308 +00:34:29,980 --> 00:34:35,960 +طبعا كما قلت أن الذهب الإسلامي في هذا العصر أو في + +309 +00:34:35,960 --> 00:34:40,160 +القرن الأول من الدولة العباسية كان ذهدا إسلاميا + +310 +00:34:40,160 --> 00:34:47,460 +خاصا مع الإيمان بأن هناك إيه مع الاعتراف بأن هناك + +311 +00:34:47,460 --> 00:34:53,580 +أسراب بأن هناك أسراب أخرى من ذهبي النصارى وذهبي + +312 +00:34:53,580 --> 00:35:01,100 +الموذيين والمانويين وغير ذلكبعد ذلك أخدت إيه نتة + +313 +00:35:01,100 --> 00:35:06,660 +تصوف تتعمق وأخدت + +314 +00:35:06,660 --> 00:35:11,440 +إيه تشطح في الجانب الروحي وهنا يعني ممكن أن نفرق + +315 +00:35:11,440 --> 00:35:17,540 +بين الذهد الإسلامي والتصوف الذهد الإسلامي يركز على + +316 +00:35:17,540 --> 00:35:23,690 +العباداتوهو قيمة إسلامية لأن الله .. لأن الرسول + +317 +00:35:23,690 --> 00:35:28,690 +صلى الله عليه وسلم دعي إليها فقال ازهد في الدنيا + +318 +00:35:28,690 --> 00:35:33,930 +يحبك الله وازهد في مأيدي الناس يحبك الناس إذا + +319 +00:35:33,930 --> 00:35:38,250 +الذهب ليه قيمة إسلامية أما التصوف فليس قيمة + +320 +00:35:38,250 --> 00:35:43,290 +إسلامية إنما هو حالة إنسانية ابتدعاه الإنسان فيما + +321 +00:35:43,290 --> 00:35:54,990 +بعدولذلك التعرف على قيمة التصوف يكون إيه؟ بارجاعه + +322 +00:35:54,990 --> 00:36:01,210 +إلى الزهد إلى حقيقة الزهد فما وافق فيه الزهد + +323 +00:36:01,210 --> 00:36:06,790 +الإسلامي كان يعني مقبولًا أما إذا عارض الزهد + +324 +00:36:06,790 --> 00:36:10,840 +الإسلامي فهو إيه؟ غير مقبولولذلك قلنا إن التصوف + +325 +00:36:10,840 --> 00:36:18,100 +حالة إنسانية أما الذهب فهو أيه قيمة إسلامية الشيء + +326 +00:36:18,100 --> 00:36:20,760 +الثاني أن الذهب يركض على العبادات والتعليمات + +327 +00:36:21,480 --> 00:36:29,180 +الدينية والتعبدية لكن التصوف يعني يهتم بالجانب + +328 +00:36:29,180 --> 00:36:38,580 +الروحي بالحب الإلهي وطبعا الزهد يركز على الطاعة و + +329 +00:36:38,580 --> 00:36:42,540 +هناك يركز عليه الحب و فرق بين أيه الطاعة و الحب + +330 +00:36:42,540 --> 00:36:49,640 +فبالطاعة و الاتباع يتحصل الإنسان على ما هو أرقى من + +331 +00:36:49,640 --> 00:36:50,480 +الحب الإلهي + +332 +00:36:56,120 --> 00:37:02,780 +قال تعالى قُلْ إن كنتم تحبون الله فاتابعوني يحببكم + +333 +00:37:02,780 --> 00:37:12,420 +الله فبالاتباع و الطاعة تحقق محبة الله لك و فرق + +334 +00:37:12,420 --> 00:37:21,880 +بين أن تحبه و أن تحب فأن تحب أفضل من أن تحب اللي + +335 +00:37:21,880 --> 00:37:29,830 +حصل أن حركة التصوفانحرفت لأنها تعمقت في الجانب + +336 +00:37:29,830 --> 00:37:38,770 +الروحي وممكن أن نبين أن حركة التصوف ارتبطت بحركة + +337 +00:37:38,770 --> 00:37:44,210 +الذهب في البدايات واختلفت في المآلاتفلو نظرنا إلى + +338 +00:37:44,210 --> 00:37:50,430 +بدايات التصوف وجدنا أنه يرتبط بالزهد كما قالت + +339 +00:37:50,430 --> 00:37:56,490 +رابعة العدوية أحبك حبين حب الهوى وحب لأنك أهل لذاك + +340 +00:37:56,490 --> 00:38:01,950 +فأما الذي هو حب الهوى فشغلي بذكرك عما سواك وأما + +341 +00:38:01,950 --> 00:38:07,350 +الذي أنت له وأما الذي أنت أهل له فكشفك لي الحذوب + +342 +00:38:07,350 --> 00:38:15,680 +حتى أراكطبعًا هذا الحب يعني لا يعرض مفهوم الحب في + +343 +00:38:15,680 --> 00:38:21,840 +الذهب الإسلامي فهو حب إيه مقبول لكن إذا نظرنا إلى + +344 +00:38:21,840 --> 00:38:29,270 +النهاياتفي قول الحلاج الحسين إبن منصور عندما قال + +345 +00:38:29,270 --> 00:38:36,270 +أنا من أهوى ومن أهوى أنا نحن روحاني حلالنا بدنا + +346 +00:38:36,270 --> 00:38:43,630 +فإذا أبصرتني أبصرته وإذا أبصرته أبصرتنا هنا نجد أن + +347 +00:38:43,630 --> 00:38:50,390 +التصوف يخرج عن الذهب الإسلامي بل يخرج عن الإسلام + +348 +00:38:51,260 --> 00:39:00,020 +بالكلية لأنه يؤمن بأن صفات الخالق والمخلوق سواء + +349 +00:39:00,020 --> 00:39:06,740 +نحن روحاني حللنا بدنا يعني روح الخالق اتحث بروح + +350 +00:39:06,740 --> 00:39:13,150 +المخلوقفإذا أبصرتني أبصرته، وإذا أبصرته أبصرتنا، + +351 +00:39:13,150 --> 00:39:18,030 +إذا إيه؟ ساوى بين إيه؟ الخالق والمخلوق، وهذا يخرج + +352 +00:39:18,030 --> 00:39:27,010 +عن الإسلام عقيدة وشريعةإذا التصوف أو مقدمة التصوف + +353 +00:39:27,010 --> 00:39:32,910 +اتحدت في البدايات واختلفت في المآلات هذا وبالله + +354 +00:39:32,910 --> 00:39:37,250 +التوفيق وصلى اللهم على نبينا محمد وعلى آله وصحبه + +355 +00:39:37,250 --> 00:39:39,390 +وسلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/IXclJGn-2-8_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/IXclJGn-2-8_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..8b163399d24d5a6a8cc1012cca6e62fc25558d5b --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/IXclJGn-2-8_postprocess.srt @@ -0,0 +1,1152 @@ +1 +00:00:04,930 --> 00:00:08,610 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,610 --> 00:00:13,430 +وعلى آله وصحبه وسلم تسليمًا كثيرًا وبعد موضوع هذه + +3 +00:00:13,430 --> 00:00:19,430 +المحاضرة إن شاء الله هو المؤثرات الثقافية في الأدب + +4 +00:00:19,430 --> 00:00:25,570 +العباسي فيما ذكرناه من قبل تبين لنا أن هناك + +5 +00:00:25,570 --> 00:00:32,780 +تمازجًاحضريًا وتمازجًا جنسي، أدى هذا إلى تمازج + +6 +00:00:32,780 --> 00:00:39,690 +ثالث، وهو التمازج الثقافيحيث أصبحت هذه الثقافات + +7 +00:00:39,690 --> 00:00:46,830 +بفعل العوامل أو المؤثرات السابقة تؤثر في الأدب + +8 +00:00:46,830 --> 00:00:54,610 +بشكل صريح وأن هذه البيئة الجديدة لم تكن كبيئة + +9 +00:00:54,610 --> 00:01:00,700 +الأمويين في إحداث مثل هذا التمازجذلك أن السيادة في + +10 +00:01:00,700 --> 00:01:06,000 +العصر الأموي كانت سيادة عربية أما في هذا العصر + +11 +00:01:06,000 --> 00:01:12,520 +وجدنا أن السيادة هي فارسية إذ إن الفرس قد تقلدوا + +12 +00:01:12,520 --> 00:01:20,260 +مناصب رفيعة في الدولة العباسية من أهم هذه الثقافات + +13 +00:01:20,260 --> 00:01:26,580 +الثقافة الهندية والثقافة الفارسية والثقافة + +14 +00:01:26,580 --> 00:01:33,490 +اليونانيةأما الثقافة الهندية فهي أسبق من الثقافة + +15 +00:01:33,490 --> 00:01:39,070 +الفالسية إذ الفرث قد اعتمدوا على نهضاتهم على + +16 +00:01:39,070 --> 00:01:48,390 +الثقافة والحضارة الهنديةبذلك نجد أن هذه الحضارة + +17 +00:01:48,390 --> 00:01:51,910 +الهندية أو الثقافة الهندية جاءت إلى الحضارة + +18 +00:01:51,910 --> 00:01:55,430 +الإسلامية أو الثقافة الإسلامية من طريقين طريق + +19 +00:01:55,430 --> 00:02:01,950 +الفرس في قديم الزمان وطريق من دخل منهم في الإسلام + +20 +00:02:01,950 --> 00:02:09,230 +تتميز هذه الثقافة الهندية بأن جمهور الهند وثنيون + +21 +00:02:10,140 --> 00:02:16,580 +يدينون البوذية ومنهم ضراهمة ينكرون النبوات ودهريون + +22 +00:02:16,580 --> 00:02:22,200 +لا يؤمنون إلا بالدهر وسمانية لا يؤمنون إلا بما يقع + +23 +00:02:22,200 --> 00:02:28,580 +تحت حواسهم أي لا يؤمنون إلا بالواقع وقد ناظرهم + +24 +00:02:28,580 --> 00:02:34,360 +قديما جحم بن صفوان وتصدرهم المعتزلة يردون عليهم + +25 +00:02:34,360 --> 00:02:40,910 +معتقداتهم الفاسدة وأفكارهم الضالةفإذا كان الإخلاص + +26 +00:02:40,910 --> 00:02:47,810 +شعار المسلمين والتثليث شعار النصرانية والإثبات + +27 +00:02:47,810 --> 00:02:55,310 +شعار اليهودية فإن التناسخ كان شعار المحلة الهندية + +28 +00:02:56,410 --> 00:03:03,030 +ولذلك وجدنا أن هذا الأمر وهو التناسخ يتسلل إلى + +29 +00:03:03,030 --> 00:03:10,630 +الفكر الصوفي في الجيل القادم مما كان له سبب في + +30 +00:03:10,630 --> 00:03:17,170 +إفساد عقيدة المسلمين أما الثقافة الفارسية فهي + +31 +00:03:17,170 --> 00:03:23,990 +الثقافة المادية تُعني بالحياة اليوميةفقد نظّمت + +32 +00:03:23,990 --> 00:03:27,950 +الثقافة الفارسية + +33 +00:03:27,950 --> 00:03:34,070 +حياة المجتمع العباسي اليومي يعني نظّمت الحياة + +34 +00:03:34,070 --> 00:03:38,610 +اليومية فيما يتعلق مثلًا بالمأكل والمشرب والملبس + +35 +00:03:38,610 --> 00:03:43,870 +والقصور والحفلات بأنواعها المختلفة والمراسيم + +36 +00:03:43,870 --> 00:03:52,740 +المتعلقة بالوزراء والحجاب وغير ذلكالثقافة الفارسية + +37 +00:03:52,740 --> 00:03:57,680 +نظّمت الحياة اليومية فكانت تأثيرها في مجريات + +38 +00:03:57,680 --> 00:04:05,760 +الحياة اليومية فقط أما الثقافة اليونانية فقد رتبت + +39 +00:04:05,760 --> 00:04:11,470 +العقل العربيإذا كانت الثقافة الفرسية رتبت الحياة + +40 +00:04:11,470 --> 00:04:17,630 +اليومية فإن الثقافة اليونانية رتبت العقل العربي من + +41 +00:04:17,630 --> 00:04:25,610 +حيث طرق التفكير والاستدلال والمنطق ونحو ذلكأما + +42 +00:04:25,610 --> 00:04:30,630 +الدينة الأخرى كاليهودية والنصرانية فإن النصارى + +43 +00:04:30,630 --> 00:04:35,370 +يعني كانوا أقرب إلى المسلمين من اليهود الذين انطوت + +44 +00:04:35,370 --> 00:04:40,590 +نفسهم على العداوة والبغضاء للجنس البشري والإسلام + +45 +00:04:40,590 --> 00:04:46,870 +بصفة خاصة فقد أشعوا الإسرائيليات وأشعوا مبدأ + +46 +00:04:46,870 --> 00:04:53,630 +التشيع أو مواد التشيع الباطنحيث جعلوا علي بن أبي + +47 +00:04:53,630 --> 00:04:58,430 +طالب فوق مستوى البشر وأن روح الرسول صلى الله عليه + +48 +00:04:58,430 --> 00:05:05,650 +وسلم حلت فيه كذلك كان للنصارى أثر في إفساد عقائد + +49 +00:05:05,650 --> 00:05:13,230 +المسلمين بما أشاعوه من كتب المنوية والضيصانية + +50 +00:05:13,230 --> 00:05:18,350 +والمرقونية وغير ذلكأيضًا كانت لأقوال المسيح عليه + +51 +00:05:18,350 --> 00:05:26,390 +السلام أثر في شعل الذهد وقد رأينا أبا العتاهية + +52 +00:05:26,390 --> 00:05:32,050 +يستمد كثيرًا من معانيه من أقوال المسيح عليه السلام + +53 +00:05:32,050 --> 00:05:39,310 +ومن أيضًا لفلسفة اليونان طبعًا + +54 +00:05:39,310 --> 00:05:43,510 +هذه الثقافات جاءت إلى الثقافة العربية الإسلامية من + +55 +00:05:43,510 --> 00:05:49,810 +خلال الترجمةوقد رأينا أن المأمون يحول دار الحكمة + +56 +00:05:49,810 --> 00:05:55,830 +إلى ما يشبه المعهد العلمي السبب + +57 +00:05:55,830 --> 00:06:01,290 +الثاني أو المؤثر الثاني في الحياة الثقافية هو + +58 +00:06:01,290 --> 00:06:07,650 +المعتزلة فقد بدأ هذا العصر كما لو كان عصرا + +59 +00:06:07,650 --> 00:06:12,800 +اعتزاليايعني من ناحية الفكر كان هذا العصر عصر + +60 +00:06:12,800 --> 00:06:18,800 +اعتزالي لكن من ناحية الحضارية الماديةبدأ هذا العصر + +61 +00:06:18,800 --> 00:06:23,160 +كما لو كان عصراً تاريسياً بمعنى أخذ من الفرص + +62 +00:06:23,160 --> 00:06:28,920 +الجوانب الحضارية المادية وأخذ من اليونان وفكر + +63 +00:06:28,920 --> 00:06:36,940 +المعتزلة القواعد التفكير والسمة الفكرية الغالبة في + +64 +00:06:36,940 --> 00:06:44,630 +هذا العصر المقصود طبعاً بالمعتزلةطبعاً نسبة إلى + +65 +00:06:44,630 --> 00:06:50,090 +اعتزال واصل ابن عطاء لمجالس الحسن البصري إذ إن + +66 +00:06:50,090 --> 00:06:56,750 +الحسن البصري كان يعتمد في نشر الدين الإسلامي على + +67 +00:06:56,750 --> 00:07:04,850 +النقل أما واصل فقد أراد أن يكون العقل هو المعتمد + +68 +00:07:04,850 --> 00:07:10,790 +في شرح المسائل الدينيةطبعًا من أهم هذه المسائل + +69 +00:07:10,790 --> 00:07:14,630 +الدينية التي دارة حولها علم الكلام ونشاط المعتزلة + +70 +00:07:14,630 --> 00:07:19,910 +هي خمسة مسائل المسألة الأولى أو الأصل الأول هو + +71 +00:07:19,910 --> 00:07:26,010 +التوحيد والعدل والوعد والوعيد والقول بأن منزلة + +72 +00:07:26,010 --> 00:07:30,810 +مرتكب الكبيرة بين منزلتين وأخيرًا الأمر المعروف + +73 +00:07:30,810 --> 00:07:38,350 +وانهي عنه المنكرهذه هي يعني الأصول الخامسة التي + +74 +00:07:38,350 --> 00:07:43,130 +دار حولها علم الكلام وطبعا بالصفة الأساسية اللي هم + +75 +00:07:43,130 --> 00:07:50,350 +إيه المعتزلة بعد واصل بن عطاء جاء عمر عمر بن عبيد + +76 +00:07:51,170 --> 00:07:57,030 +وبعد ذلك اتفرعت المعتزلة إلى فرق على حسب أصحابها + +77 +00:07:57,030 --> 00:08:02,790 +مثل الثمامية نسبة إلى ثمامة ابن أشرف والبشرية نسبة + +78 +00:08:02,790 --> 00:08:06,650 +إلى بشر ابن معتمر والنظامية نسبة إلى النظام + +79 +00:08:07,520 --> 00:08:13,520 +والجاحظية نسبة إلى الجاحظ وبذلك ارتقت الحياة + +80 +00:08:13,520 --> 00:08:17,640 +العقلية والعقل العربي في هذا العصر ارتقاءً حيث + +81 +00:08:17,640 --> 00:08:24,860 +أصبح العقل العربي عقلاً جدلاً متفلسفاً يناقش + +82 +00:08:24,860 --> 00:08:33,560 +الأمور وفقًا لمقتليات المنطق وعلم الكلام المؤثر + +83 +00:08:33,560 --> 00:08:41,000 +الثالثمن مؤثرات الثقافة في هذا العصر هو جهود علماء + +84 +00:08:41,000 --> 00:08:48,120 +اللغة في هذا العصر فقد انصب جهود علماء اللغة على + +85 +00:08:48,120 --> 00:08:56,500 +أمرين الأمر الأول هو جمع اللغة ورواية الشعر ونراحظ + +86 +00:08:56,500 --> 00:09:01,100 +أن علماء اللغة لم يكونوا موضوعيين في جمع اللغة + +87 +00:09:01,100 --> 00:09:07,300 +وذلك لأن اللغة العربيةمرتبطة باعتبار ديني واعتبار + +88 +00:09:07,300 --> 00:09:16,060 +قومي ولذلك اكتسبت جهودهم بالذاتية لأن نظره إلى + +89 +00:09:16,060 --> 00:09:20,820 +اللغة العربية على أنها مبدأ وقيمة كما الدين + +90 +00:09:20,820 --> 00:09:25,700 +والقومية وأيضا + +91 +00:09:26,660 --> 00:09:31,200 +أنهم نظروا إلى أعلى مستوى في اللغة وهو الشعر + +92 +00:09:31,200 --> 00:09:39,640 +فالشعر يحتضن النموذج اللغوي الشعر يمثل أعلى مستوى + +93 +00:09:39,640 --> 00:09:46,040 +للغة فلم يقوموا بجمع المستوى العام مثلا أو + +94 +00:09:46,040 --> 00:09:53,340 +المستعمل بين عامة الناس وانما جمعوا المستوى الفصيح + +95 +00:09:54,440 --> 00:09:58,820 +بالإيه؟ الغريب أيضًا يعني ركّزوا على الغريب + +96 +00:09:58,820 --> 00:10:08,620 +والنادروطبعًا الجاحظ يعني يقول في بيان منهج علماء + +97 +00:10:08,620 --> 00:10:14,680 +اللغة «لم أرى غاية النحويين إلا كل شعر فيه إغراب، + +98 +00:10:14,680 --> 00:10:21,560 +ولم أرى غاية روات الشعري إلا كل شعر فيه غريب، أو + +99 +00:10:21,560 --> 00:10:27,770 +معنى صعب يحتاج إلى استخراج»هذا هو منهج علماء اللغة + +100 +00:10:27,770 --> 00:10:33,410 +في جمع اللغة وروات الشعر كانوا يهتمون بالشعر + +101 +00:10:33,410 --> 00:10:41,090 +النادر وبيئة الغريب والنادر من اللغة وأيضًا أنهم + +102 +00:10:41,090 --> 00:10:45,470 +عندما جمعوا اللغة لم يجمعوها من كل الأماكن بل + +103 +00:10:45,470 --> 00:10:50,870 +اختاروا أماكن محددة وشعراء محددين فمثلًا جمعوا + +104 +00:10:50,870 --> 00:10:56,950 +اللغة من الباديةولذلك من أكثر شعرائهم هم شعراء + +105 +00:10:56,950 --> 00:11:03,610 +الباذية مثل أبو البيداء الرياحي وابن الدمينة وابن + +106 +00:11:03,610 --> 00:11:10,050 +ميادة وأبي حيه نميري وأبي ضمضم الكلابي وأبي + +107 +00:11:10,050 --> 00:11:18,550 +العميثل وعمارة ابن عقيل واخرون واخرين إذا نلاحظ أن + +108 +00:11:18,550 --> 00:11:23,200 +علماء اللغة لم يكونوا موضوعينمن ناحية الأختيار فقد + +109 +00:11:23,200 --> 00:11:28,520 +اختاروا أعلى مستوى في اللغة وهي لغة الشعروالأمر + +110 +00:11:28,520 --> 00:11:33,280 +التاني أختاروا أماكن محددة بل أيضًا من الناحية + +111 +00:11:33,280 --> 00:11:38,720 +الزمنية وضعوا زمنا محددًا وهو منتصف القرن الثاني + +112 +00:11:38,720 --> 00:11:44,740 +الهجري فيما يتعلق بالحواضر ومنتصف القرن الرابع + +113 +00:11:44,740 --> 00:11:54,260 +الهجري فيما يتعلق بالبوادي وبهذا نجد أنهناك أيضًا + +114 +00:11:54,260 --> 00:11:59,540 +منهجية عندهم صحيح أنهم لم يكونوا موضوعيين لكن كانت + +115 +00:11:59,540 --> 00:12:07,740 +لديها منهجية تعزز نهجهم الحريص على حماية اللغة + +116 +00:12:07,740 --> 00:12:15,600 +العربية من اللحن والخطأ والهدف + +117 +00:12:15,600 --> 00:12:20,460 +من هذا أن يقدّموا للجيل الجديد النموذج الذي يحتكم + +118 +00:12:20,460 --> 00:12:31,740 +إليهوالذي ينبغي أن يسير عليه الناس وتحتكم + +119 +00:12:31,740 --> 00:12:38,380 +إليه القاعدة النحوية واللغوية فحل الإشكال اللغوي + +120 +00:12:38,380 --> 00:12:43,100 +إنما يكون بالرجوع إلى الأصل ولذلك اهتموا بالغنيب + +121 +00:12:43,100 --> 00:12:50,110 +وبالنادركذلك كان همهم من ذلك أن يحافظوا على + +122 +00:12:50,110 --> 00:12:54,690 +الصليقة العربية من أن تنتقص في هذا العصر بفعل + +123 +00:12:54,690 --> 00:13:05,270 +الهجمة الفلسفية والحضارات الأخرى أيضًا وجدنا أنهم + +124 +00:13:05,270 --> 00:13:12,070 +يريدون أن يؤسسوا للقاعدة النحوية فهذا هو الذي + +125 +00:13:12,070 --> 00:13:17,260 +دفعهم إلى أن ينتقواالمستوى العالي من اللغة + +126 +00:13:17,260 --> 00:13:24,680 +ليحافظوا على لغة القرآن الكريم وما يدل على أن + +127 +00:13:24,680 --> 00:13:34,200 +الصليقة العربيةلم تنتقص في هذا العصر وجدنا ابا + +128 +00:13:34,200 --> 00:13:40,420 +نواس يحفظ ستين ديوانا من دواوين النساء غير ما كان + +129 +00:13:40,420 --> 00:13:45,140 +يحفظه من دواوين الرجال وكذلك كان يحفظ سبعمائة + +130 +00:13:45,140 --> 00:13:52,160 +أرجوزة غير ما كان يحفظه من القصيدويقول فيه الجاحظ + +131 +00:13:52,160 --> 00:13:58,760 +ما رأيت أحدا أعلم باللغة من أبي نواس ولا أفصح لهجة + +132 +00:13:58,760 --> 00:14:04,500 +محلاوة ومجانبة لاستقرار هذا دليل على أن الصليقة + +133 +00:14:04,500 --> 00:14:08,920 +العربية لم تنتقص فقد قدم علماء اللغة مادة لغوية + +134 +00:14:08,920 --> 00:14:15,840 +دسمة للشعراءيستطيعوا من خلالها أن يستعيدوا الصليقة + +135 +00:14:15,840 --> 00:14:23,860 +العربية التي كانت عدة الشاعر في العصر الجاهل وكذلك + +136 +00:14:23,860 --> 00:14:30,960 +وجدنا بشار بيو بورد يتمثل الصليقة خير تمثل فقد كان + +137 +00:14:30,960 --> 00:14:38,020 +في مجلس عقب ابن سلم وفي المجلس كان الراجد عقب ابن + +138 +00:14:38,020 --> 00:14:45,740 +رؤبة ابن العجاجالذي مدح عقبى ابن سلب أرجوزة ثم قال + +139 +00:14:45,740 --> 00:14:52,260 +لبشار بعد إنشاده لهذه الأرجوزة هذا طراز لا تحسنه + +140 +00:14:52,260 --> 00:14:59,020 +يا أبا معاذ فغضب بشار وقال أنا أرجز منك ومن أبيك + +141 +00:14:59,020 --> 00:15:07,360 +ومن جدك ويقصد بذلك أيه العجاج وعجاب ابن عقبى وأنشد + +142 +00:15:07,360 --> 00:15:16,640 +بشارعقبة أرجوزة فقال في مستهلها يا طلل الحي بذات + +143 +00:15:16,640 --> 00:15:22,500 +الصمد بالله خبر كيف كنت بعده فطلبه عقبة ابن سلم + +144 +00:15:22,500 --> 00:15:28,080 +وكفاءه مكافئة كبيرة هذا يدل على أن الصريقة العربية + +145 +00:15:28,080 --> 00:15:35,650 +لم تنتقص في هذا العصر بفضل جهود علماء اللغةأيضًا + +146 +00:15:35,650 --> 00:15:43,270 +ما يدل على تمثل الشعراء المحدثين للشعر القديم وأن + +147 +00:15:43,270 --> 00:15:51,690 +السليقة لم تنتقص أن بشارًا أنشد + +148 +00:15:51,690 --> 00:15:58,500 +خلف الأحمر قصيدته في سلم ابن قتيبةفقال قال فيها + +149 +00:15:58,500 --> 00:16:04,340 +بكرا صاحبيا قبل الهجيرى إن ذاك النجاح في التبكير + +150 +00:16:05,520 --> 00:16:12,340 +فسأله خلف عن اكثاره للغريب فقال بلغني أن سلمان كان + +151 +00:16:12,340 --> 00:16:19,680 +يتباصر بالغريب يعني يطلب الغريب لأن الغريب يعطي + +152 +00:16:19,680 --> 00:16:26,100 +صفة الأصالة في النص وطبعا الأمراء والولاه يبحثون + +153 +00:16:26,100 --> 00:16:31,340 +عن هذا العنصر الأصالة حتى يعزز مكانتهم السياسية + +154 +00:16:31,340 --> 00:16:38,760 +وقال لهلو قلت مكان إن ذا كان نجاح في التبكير لو + +155 +00:16:38,760 --> 00:16:45,080 +قلت بكرا فالنجاح في التبكير فأجابه بشعل فور إني + +156 +00:16:45,080 --> 00:16:51,540 +بنيتها عربية وحشية وهكذا نجد أن الشاعر العباسي قد + +157 +00:16:51,540 --> 00:16:59,330 +نفذ إلى دقائق لغوية وأسلوبيةتدل على أنه تمثل + +158 +00:16:59,330 --> 00:17:04,470 +الصليقة العربية خير تمثل في هذا العصر بفضل هذه + +159 +00:17:04,470 --> 00:17:11,170 +الجهود العظيمة التي قام بها علماء اللغة وقلنا إن + +160 +00:17:11,170 --> 00:17:17,790 +علماء اللغة قد حددوا مكان للأخر اللغوي فأبو عمرو + +161 +00:17:17,790 --> 00:17:24,180 +بن العلاق شيخ علماء البصرة يقوللا أقول قالة العرب + +162 +00:17:24,180 --> 00:17:30,740 +إلا ما سمعتم من عالية السافلة وسافلة العالية ويقص + +163 +00:17:30,740 --> 00:17:36,240 +بذلك الجزء الغربي من نجد والسفوح الشرقية لجبال + +164 +00:17:36,240 --> 00:17:43,130 +الحجازهذا هو مكان الأخذ اللغوي فلم يأخذوا مثلا من + +165 +00:17:43,130 --> 00:17:50,850 +المناطق التي تتاخم الـRome أو الـFrance أو الحبشة + +166 +00:17:50,850 --> 00:17:58,330 +أو الهنود فقال أبو نصر الفرابي ولم يُأخذ عن غيرهم + +167 +00:17:58,330 --> 00:18:02,450 +يعني عن هذه القبائل القبائل النجدة اللي هي قيس + +168 +00:18:02,450 --> 00:18:07,110 +وتميم وأسدولم يُأخذ عن غيرهم من سائر قبائلهم + +169 +00:18:07,110 --> 00:18:12,730 +وبالجملة فإنه لم يُأخذ عن حضري قط ولا عن ثكان + +170 +00:18:12,730 --> 00:18:18,310 +البراري فمن كان يسكن أطراف بلادهم المجاورة كسائر + +171 +00:18:18,310 --> 00:18:25,830 +الأمم الذين حولهم فإنه لم يُأخذ لا من لخم ولا من + +172 +00:18:25,830 --> 00:18:32,070 +جذام مع أن هذه قبائل عربية لكن لأنها تجاور أهل مصر + +173 +00:18:32,070 --> 00:18:38,300 +والقبطفلم يُأخذ منها وكذلك لم يُأخذ من قضاعة + +174 +00:18:38,300 --> 00:18:44,860 +وغفسان وإياد لأنهم يجاوزون أهل الشام وأكثر أهل + +175 +00:18:44,860 --> 00:18:50,740 +الشام نصارى يقرؤون بالعبرانية فلم يُأخذ منهم مع + +176 +00:18:50,740 --> 00:18:56,420 +أنهم قبائل عربية أيضًا ولا من تغلب و النمر فإنهم + +177 +00:18:56,420 --> 00:19:01,750 +كانوا بالجزيرة مجاورين لليونانولا من بكر لمجاورة + +178 +00:19:01,750 --> 00:19:06,510 +من النبط والفرس ولا من عبدقيس وأزد عمان لأنهم + +179 +00:19:06,510 --> 00:19:12,970 +كانوا بالبحرين مخالقين للهند والفرس ولا من أهل + +180 +00:19:12,970 --> 00:19:17,130 +اليمن لأنهم يخالقون الهند والحبشة ولا من بني حنيفة + +181 +00:19:17,130 --> 00:19:24,370 +وسكان اليمامة ولا من ثقيف وأهل الطائف لأنهم + +182 +00:19:24,370 --> 00:19:30,730 +يخالقون تجارة اليمنالذين يختلطون مع الهند والحبشة + +183 +00:19:30,730 --> 00:19:36,830 +ولا من حاضرة الحجاز لا من مكة ولا من المدينة لأنهم + +184 +00:19:36,830 --> 00:19:42,410 +عندما أخذوا اللغة في هذا القرن وجدوا أن هناك أمما + +185 +00:19:43,460 --> 00:19:48,720 +كثيرة تلد إلى مكة وإلى المدينة بذافع الحج و + +186 +00:19:48,720 --> 00:19:55,500 +الإسلام وغير ذلك فلذلك لم يُأخذ من هتين الحاضرتين + +187 +00:19:55,500 --> 00:20:00,960 +أيضًا هذا يدل على أن هناك منهجية مع أنه ليس هناك + +188 +00:20:00,960 --> 00:20:06,900 +موضعية لكن لديهم إيه منهجية تطبق هذا المبدأ وهو + +189 +00:20:06,900 --> 00:20:12,020 +اللغة العربيةأما الوظيفة الأخرى لعلماء اللغة هو + +190 +00:20:12,020 --> 00:20:17,980 +نقض الشعر المحدث فقد أسهموا في نقض الشعر وقدموا + +191 +00:20:17,980 --> 00:20:23,040 +نظرية نقضية في هذا العصر هذه النظرية النقضية تقوم + +192 +00:20:23,040 --> 00:20:27,760 +على إسقاط الشعر المحدث يعني لا ينظر إلى الشعر + +193 +00:20:27,760 --> 00:20:33,240 +المحدث في هذا العصر إلا ما كان عليه على نمطه الشعر + +194 +00:20:33,240 --> 00:20:41,490 +القديمولذلك تمسكوا بالنموذج القديم تمسكًا عجيبًا + +195 +00:20:41,490 --> 00:20:49,890 +وجدنا من الشعراء من العلماء من يسقط الشعراء أو + +196 +00:20:49,890 --> 00:20:56,250 +يختم الشعراء بشاعر من البادية أو من نهاية العصر + +197 +00:20:56,250 --> 00:21:03,440 +الأموي تمثلًا أبو عمرابن العلاء يختم الشعر بذي + +198 +00:21:03,440 --> 00:21:08,320 +الرُمّة والرجد برُقبة قائلا في المحدثين إنهم كل + +199 +00:21:08,320 --> 00:21:15,160 +على غيرهم إن قالوا حسنا فقد سبقوا إليه وإذا قالوا + +200 +00:21:15,160 --> 00:21:19,980 +قبيحا فمن عندهم هذا دليل على أنهم إيه يسقطون الشعر + +201 +00:21:19,980 --> 00:21:25,860 +المحدث إسقاطا مدوية وكذلك كان الأصمعي يختم شعراء + +202 +00:21:25,860 --> 00:21:32,360 +بابن ميادةوابن هرمة وأضرابهما من شعراء نجد والحجاز + +203 +00:21:32,360 --> 00:21:38,300 +الذين أدركوا الدولة العباسية ومما يدل على أنه يسقط + +204 +00:21:38,300 --> 00:21:44,720 +الشعر المحدث إسقاطا مدويا أن إسحاق الموصل أنشده + +205 +00:21:44,720 --> 00:21:49,500 +بيتين من شعرة ولم يسم قائلهما فقال + +206 +00:21:53,250 --> 00:22:01,190 +فقال فقال الأصمعي فقال + +207 +00:22:01,190 --> 00:22:08,330 +معجبًا بيهما ثم عندما أشار إسحاق الموصل أنهم من + +208 +00:22:08,330 --> 00:22:15,430 +نظبه بادره بقوله أفسدت الشعرة إن التوليد عليهم + +209 +00:22:15,430 --> 00:22:22,580 +لبين أو فيهما لبينأيضًا يروى أن ابن منازل كان يقول + +210 +00:22:22,580 --> 00:22:28,020 +لأبي عبيدة اتق الله واحكم بين الشعري والشعري عدي + +211 +00:22:28,020 --> 00:22:36,260 +بن زيدن العبادي ولا تقول ذاك جاهلي وهذا عباسي وذلك + +212 +00:22:36,260 --> 00:22:43,120 +قديم وهذا محدث فتحكم بين العصرين ولكن احكم بين + +213 +00:22:43,120 --> 00:22:49,040 +الشعرين وداع العصبيةإذن هذا دليل آخر على أنهم + +214 +00:22:49,040 --> 00:22:54,020 +يسقطون أيه الشعرة المحدث التي قيل في أوائل الدول + +215 +00:22:54,020 --> 00:23:00,680 +العباسية إسقاطا مدوية وكذلك كان ابن العربي عندما + +216 +00:23:00,680 --> 00:23:06,280 +وصف شعراء المحدثينأو عندما وصف الشعر المحدثين قال + +217 +00:23:06,280 --> 00:23:15,640 +إنما أشعار هؤلاء المحدثين يقصد أبي نواس وغيره يقصد + +218 +00:23:15,640 --> 00:23:21,180 +أبا نواس وغيره من شعراء الدولة العباسية أشعارهم + +219 +00:23:21,180 --> 00:23:31,440 +مثل الريحان نشم يوما ثم يذوي فيرمى به يعني أشعارهم + +220 +00:23:31,440 --> 00:23:38,030 +كان ريحانرائحت جميلة ثم يذبل في يومه ثم يرمى به + +221 +00:23:38,030 --> 00:23:46,250 +أما أشعار قدمائي فهي مثل المسك والعنضر كل ما حركته + +222 +00:23:46,250 --> 00:23:54,590 +أزداد طيبة لكن حقيقة أن الجودة الفنية لا تقاس + +223 +00:23:54,590 --> 00:24:02,490 +بالقدمي والحداثة إنما تقاس بدوابطبضوابط لغوية + +224 +00:24:02,490 --> 00:24:07,750 +وفنية من حيث الصورة ومن حيث الأسلوب ومن حيث + +225 +00:24:07,750 --> 00:24:13,790 +الإبداع إذ الشاعر ينبغي أن يكون مبدعا أن يأتي بصور + +226 +00:24:13,790 --> 00:24:21,350 +جديدة وليس بصور مكررة في السابق لكن علماء اللغة + +227 +00:24:21,350 --> 00:24:27,150 +كانوا ينظرون غير ذلك كانوا ينظرون إلى الشعر القديم + +228 +00:24:27,150 --> 00:24:30,170 +نظرة إجلال وإكبار + +229 +00:24:33,080 --> 00:24:40,880 +والحقيقة أن الشعراء العباسيين أو الشعراء المحدثون + +230 +00:24:40,880 --> 00:24:50,580 +يعني كانوا يعني محافظين وفقًا لما كان عليه الـGLA + +231 +00:24:50,580 --> 00:25:00,100 +السابق وما وقع من سقطات إما أن تكون ضروراترأها + +232 +00:25:00,100 --> 00:25:04,700 +الشعراء العباسيون في الشعر القديم فقاتوا عليها + +233 +00:25:04,700 --> 00:25:11,360 +وإما لغات شاذة رأوها في هذا الشعر ومن حقهم مجارتها + +234 +00:25:11,360 --> 00:25:18,660 +وإما اشتقاقات وأبنية استحدثوها على ضوء المقاييث + +235 +00:25:18,660 --> 00:25:25,240 +التي تعلموها سابقًاومن ذلك ما رواه المرذباني في + +236 +00:25:25,240 --> 00:25:32,760 +موشحه في موشح في الموشح من أن الأخفش أخذ على بشار + +237 +00:25:32,760 --> 00:25:39,320 +اشتقاقاته في بعض أشعاره لكلمتي الوجلة والغزلة + +238 +00:25:39,320 --> 00:25:48,240 +وكذلك جمعه لفظ نون بمعنى الحوت على نينانظن منه أن + +239 +00:25:48,240 --> 00:25:52,940 +هذه الكلمة تدخل في هذا القياس في قياس هذا الجمع + +240 +00:25:52,940 --> 00:26:01,300 +والمراحض أن أبا نواس كان من أكثر الشعراء العباسيين + +241 +00:26:01,300 --> 00:26:08,870 +مآخذ وهذه المآخذالتي يظن بعض الناس التي يظن بعض + +242 +00:26:08,870 --> 00:26:18,630 +الناس أنها سقطات إنما هي يعني لها يعني لها تبرير + +243 +00:26:18,630 --> 00:26:25,650 +إما أن أكون إيه لغة شاذة مثلا أو علة نحوية أو + +244 +00:26:25,650 --> 00:26:30,490 +قياسا على اشتقاق فمثلا + +245 +00:26:30,490 --> 00:26:37,640 +قال ابن قتيبةوكان أبو نواس يلحن في أشياء من شعره + +246 +00:26:37,640 --> 00:26:44,780 +لا أراه فيها إلا على حجة من الشعر القديم أو علة + +247 +00:26:44,780 --> 00:26:51,860 +بينة من علن النحو منها قوله فليت ما أنت واطن من + +248 +00:26:51,860 --> 00:26:59,870 +الثرى ليه رمسةفلايت ما أنت واطن من الثلالي رمسة + +249 +00:26:59,870 --> 00:27:05,590 +طبعا أخذوا على كلمة أخذوا ما أخذهم على كلمتين واطن + +250 +00:27:05,590 --> 00:27:15,070 +ورمسة فأما كلمة واطن فأصلها واطئ ولكن أكثر العربي + +251 +00:27:15,070 --> 00:27:22,170 +لا تهمز يعني تقول واطي أكثر العرب ومنها قرش أيضا + +252 +00:27:22,170 --> 00:27:30,860 +ونجد أن القرآن الكريمعندما نزل في قوله وبيع + +253 +00:27:30,860 --> 00:27:37,200 +المعتلة وكلمة الذئب إنما جاء بلغة هذيل وليس بلغة + +254 +00:27:37,200 --> 00:27:45,940 +قريش أكثر العرب لا تهمز يعني يميلون إلى لغة قريش + +255 +00:27:45,940 --> 00:27:55,180 +فيقولون بير وذيب والشعر أبو نواس هنايعني ايه؟ لم + +256 +00:27:55,180 --> 00:28:01,000 +يهمز فقال واطي وحذف الياء وعوض عنها بالتنوين واطن + +257 +00:28:01,000 --> 00:28:08,020 +فإذا هو يسير وفق لهجة من لهجات العرب وأما رمسا + +258 +00:28:08,020 --> 00:28:11,080 +يعني + +259 +00:28:11,080 --> 00:28:22,400 +قالوا أنه خرج عن الأصل وهذا ليس خروجا لأن رمسايعني + +260 +00:28:22,400 --> 00:28:27,900 +تُعرَبوا تمييزًا يعني الذين أخطأوه نظروا إلى أن + +261 +00:28:27,900 --> 00:28:36,340 +رمسًا هي خبر ليت مرفوع ولكنه هنا جاء تمييزًا كما + +262 +00:28:36,340 --> 00:28:43,600 +تقول ليت ثوبك هذا ليه ثم تقول إذارًا على التمييز + +263 +00:28:43,600 --> 00:28:49,420 +إذن أبو نواس له حجة من كلام العرب أو علة من علة + +264 +00:28:49,420 --> 00:28:58,940 +للنحوحاول المستشرقون أن يسيئوا إلى اللغة العربية + +265 +00:28:58,940 --> 00:29:05,880 +بزرع اليأس في النفوس عندما قالوا وطبعاً الكلام + +266 +00:29:05,880 --> 00:29:12,740 +لـJohann Fick إذ قال أن الفارسية قد أدخلت ضيماً + +267 +00:29:12,740 --> 00:29:18,890 +على العربية في هذا العصرطبعاً مستدلاً بذلك على + +268 +00:29:18,890 --> 00:29:26,790 +أشعار أبي نواس فقد ذكر أن فيها كلمات ثارسية كثيرة + +269 +00:29:26,790 --> 00:29:33,710 +والذي يراجع شعر أبي نواس وخاصة في المجون ولهو يرى + +270 +00:29:33,710 --> 00:29:39,540 +أن هناك كلمات ثارسية كثيرةوهو يورد هذه الكلمات + +271 +00:29:39,540 --> 00:29:46,160 +الفرسية ليس ضعفا في صليقته أو انتقاصا في الصليقة + +272 +00:29:46,160 --> 00:29:53,280 +عند أبي نواز وإنما يورد هذه الكلمات للتملح والتماج + +273 +00:29:53,280 --> 00:29:59,580 +والخلاعة وليس ضعفا في الصليقة العربية فمثلا يقول + +274 +00:29:59,580 --> 00:30:05,580 +في عادات المجوث وأعيادهم والمهرجان المداري لوقته + +275 +00:30:05,580 --> 00:30:11,370 +القدراريوالنقرود الكباري وجشن جهنباري وأبثال + +276 +00:30:11,370 --> 00:30:17,150 +الوهاري وخر إيران شاري طبعا هذه كلمات ثالثية إنما + +277 +00:30:17,150 --> 00:30:23,750 +جيئة بها للتملح والتعابث والتماجم وليس ضعفا في + +278 +00:30:23,750 --> 00:30:30,670 +السليقة العربية وكذلك نجد عند بعض الشعراء تسقط + +279 +00:30:30,670 --> 00:30:37,990 +كلمات نباطية في شعرهمالهدف منها ليس إلا التملح + +280 +00:30:37,990 --> 00:30:45,390 +والتعابث والتناجر كما قال إبراهيم موصلي في وصف + +281 +00:30:45,390 --> 00:30:54,690 +وداعه لخمال نباطي فقال فقال إذ البشينين حين حدثني + +282 +00:30:54,690 --> 00:31:04,610 +وقضل عمرك زالوقد لعمرك ذلنا عنه بالشيء يعني ذلنا + +283 +00:31:04,610 --> 00:31:11,050 +اترقنا عنه بالقبيح من الأفعال والسيئ من السلوك إذا + +284 +00:31:11,050 --> 00:31:16,830 +ما سقط في اللغة العربية من كلمات فارسية أو نباطية + +285 +00:31:16,830 --> 00:31:25,790 +لا يقلل منالصليقة العربية و لا ينتقصها و إنما جئت + +286 +00:31:25,790 --> 00:31:33,710 +هذه الكلمات للتضرف كما قلت و التملح و التعابث هذا + +287 +00:31:33,710 --> 00:31:37,430 +و بالله التوفيق و صلى اللهم على نبينا محمد و على + +288 +00:31:37,430 --> 00:31:40,650 +آله و صحبه و سلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/IXclJGn-2-8_raw.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/IXclJGn-2-8_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..8b163399d24d5a6a8cc1012cca6e62fc25558d5b --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/IXclJGn-2-8_raw.srt @@ -0,0 +1,1152 @@ +1 +00:00:04,930 --> 00:00:08,610 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,610 --> 00:00:13,430 +وعلى آله وصحبه وسلم تسليمًا كثيرًا وبعد موضوع هذه + +3 +00:00:13,430 --> 00:00:19,430 +المحاضرة إن شاء الله هو المؤثرات الثقافية في الأدب + +4 +00:00:19,430 --> 00:00:25,570 +العباسي فيما ذكرناه من قبل تبين لنا أن هناك + +5 +00:00:25,570 --> 00:00:32,780 +تمازجًاحضريًا وتمازجًا جنسي، أدى هذا إلى تمازج + +6 +00:00:32,780 --> 00:00:39,690 +ثالث، وهو التمازج الثقافيحيث أصبحت هذه الثقافات + +7 +00:00:39,690 --> 00:00:46,830 +بفعل العوامل أو المؤثرات السابقة تؤثر في الأدب + +8 +00:00:46,830 --> 00:00:54,610 +بشكل صريح وأن هذه البيئة الجديدة لم تكن كبيئة + +9 +00:00:54,610 --> 00:01:00,700 +الأمويين في إحداث مثل هذا التمازجذلك أن السيادة في + +10 +00:01:00,700 --> 00:01:06,000 +العصر الأموي كانت سيادة عربية أما في هذا العصر + +11 +00:01:06,000 --> 00:01:12,520 +وجدنا أن السيادة هي فارسية إذ إن الفرس قد تقلدوا + +12 +00:01:12,520 --> 00:01:20,260 +مناصب رفيعة في الدولة العباسية من أهم هذه الثقافات + +13 +00:01:20,260 --> 00:01:26,580 +الثقافة الهندية والثقافة الفارسية والثقافة + +14 +00:01:26,580 --> 00:01:33,490 +اليونانيةأما الثقافة الهندية فهي أسبق من الثقافة + +15 +00:01:33,490 --> 00:01:39,070 +الفالسية إذ الفرث قد اعتمدوا على نهضاتهم على + +16 +00:01:39,070 --> 00:01:48,390 +الثقافة والحضارة الهنديةبذلك نجد أن هذه الحضارة + +17 +00:01:48,390 --> 00:01:51,910 +الهندية أو الثقافة الهندية جاءت إلى الحضارة + +18 +00:01:51,910 --> 00:01:55,430 +الإسلامية أو الثقافة الإسلامية من طريقين طريق + +19 +00:01:55,430 --> 00:02:01,950 +الفرس في قديم الزمان وطريق من دخل منهم في الإسلام + +20 +00:02:01,950 --> 00:02:09,230 +تتميز هذه الثقافة الهندية بأن جمهور الهند وثنيون + +21 +00:02:10,140 --> 00:02:16,580 +يدينون البوذية ومنهم ضراهمة ينكرون النبوات ودهريون + +22 +00:02:16,580 --> 00:02:22,200 +لا يؤمنون إلا بالدهر وسمانية لا يؤمنون إلا بما يقع + +23 +00:02:22,200 --> 00:02:28,580 +تحت حواسهم أي لا يؤمنون إلا بالواقع وقد ناظرهم + +24 +00:02:28,580 --> 00:02:34,360 +قديما جحم بن صفوان وتصدرهم المعتزلة يردون عليهم + +25 +00:02:34,360 --> 00:02:40,910 +معتقداتهم الفاسدة وأفكارهم الضالةفإذا كان الإخلاص + +26 +00:02:40,910 --> 00:02:47,810 +شعار المسلمين والتثليث شعار النصرانية والإثبات + +27 +00:02:47,810 --> 00:02:55,310 +شعار اليهودية فإن التناسخ كان شعار المحلة الهندية + +28 +00:02:56,410 --> 00:03:03,030 +ولذلك وجدنا أن هذا الأمر وهو التناسخ يتسلل إلى + +29 +00:03:03,030 --> 00:03:10,630 +الفكر الصوفي في الجيل القادم مما كان له سبب في + +30 +00:03:10,630 --> 00:03:17,170 +إفساد عقيدة المسلمين أما الثقافة الفارسية فهي + +31 +00:03:17,170 --> 00:03:23,990 +الثقافة المادية تُعني بالحياة اليوميةفقد نظّمت + +32 +00:03:23,990 --> 00:03:27,950 +الثقافة الفارسية + +33 +00:03:27,950 --> 00:03:34,070 +حياة المجتمع العباسي اليومي يعني نظّمت الحياة + +34 +00:03:34,070 --> 00:03:38,610 +اليومية فيما يتعلق مثلًا بالمأكل والمشرب والملبس + +35 +00:03:38,610 --> 00:03:43,870 +والقصور والحفلات بأنواعها المختلفة والمراسيم + +36 +00:03:43,870 --> 00:03:52,740 +المتعلقة بالوزراء والحجاب وغير ذلكالثقافة الفارسية + +37 +00:03:52,740 --> 00:03:57,680 +نظّمت الحياة اليومية فكانت تأثيرها في مجريات + +38 +00:03:57,680 --> 00:04:05,760 +الحياة اليومية فقط أما الثقافة اليونانية فقد رتبت + +39 +00:04:05,760 --> 00:04:11,470 +العقل العربيإذا كانت الثقافة الفرسية رتبت الحياة + +40 +00:04:11,470 --> 00:04:17,630 +اليومية فإن الثقافة اليونانية رتبت العقل العربي من + +41 +00:04:17,630 --> 00:04:25,610 +حيث طرق التفكير والاستدلال والمنطق ونحو ذلكأما + +42 +00:04:25,610 --> 00:04:30,630 +الدينة الأخرى كاليهودية والنصرانية فإن النصارى + +43 +00:04:30,630 --> 00:04:35,370 +يعني كانوا أقرب إلى المسلمين من اليهود الذين انطوت + +44 +00:04:35,370 --> 00:04:40,590 +نفسهم على العداوة والبغضاء للجنس البشري والإسلام + +45 +00:04:40,590 --> 00:04:46,870 +بصفة خاصة فقد أشعوا الإسرائيليات وأشعوا مبدأ + +46 +00:04:46,870 --> 00:04:53,630 +التشيع أو مواد التشيع الباطنحيث جعلوا علي بن أبي + +47 +00:04:53,630 --> 00:04:58,430 +طالب فوق مستوى البشر وأن روح الرسول صلى الله عليه + +48 +00:04:58,430 --> 00:05:05,650 +وسلم حلت فيه كذلك كان للنصارى أثر في إفساد عقائد + +49 +00:05:05,650 --> 00:05:13,230 +المسلمين بما أشاعوه من كتب المنوية والضيصانية + +50 +00:05:13,230 --> 00:05:18,350 +والمرقونية وغير ذلكأيضًا كانت لأقوال المسيح عليه + +51 +00:05:18,350 --> 00:05:26,390 +السلام أثر في شعل الذهد وقد رأينا أبا العتاهية + +52 +00:05:26,390 --> 00:05:32,050 +يستمد كثيرًا من معانيه من أقوال المسيح عليه السلام + +53 +00:05:32,050 --> 00:05:39,310 +ومن أيضًا لفلسفة اليونان طبعًا + +54 +00:05:39,310 --> 00:05:43,510 +هذه الثقافات جاءت إلى الثقافة العربية الإسلامية من + +55 +00:05:43,510 --> 00:05:49,810 +خلال الترجمةوقد رأينا أن المأمون يحول دار الحكمة + +56 +00:05:49,810 --> 00:05:55,830 +إلى ما يشبه المعهد العلمي السبب + +57 +00:05:55,830 --> 00:06:01,290 +الثاني أو المؤثر الثاني في الحياة الثقافية هو + +58 +00:06:01,290 --> 00:06:07,650 +المعتزلة فقد بدأ هذا العصر كما لو كان عصرا + +59 +00:06:07,650 --> 00:06:12,800 +اعتزاليايعني من ناحية الفكر كان هذا العصر عصر + +60 +00:06:12,800 --> 00:06:18,800 +اعتزالي لكن من ناحية الحضارية الماديةبدأ هذا العصر + +61 +00:06:18,800 --> 00:06:23,160 +كما لو كان عصراً تاريسياً بمعنى أخذ من الفرص + +62 +00:06:23,160 --> 00:06:28,920 +الجوانب الحضارية المادية وأخذ من اليونان وفكر + +63 +00:06:28,920 --> 00:06:36,940 +المعتزلة القواعد التفكير والسمة الفكرية الغالبة في + +64 +00:06:36,940 --> 00:06:44,630 +هذا العصر المقصود طبعاً بالمعتزلةطبعاً نسبة إلى + +65 +00:06:44,630 --> 00:06:50,090 +اعتزال واصل ابن عطاء لمجالس الحسن البصري إذ إن + +66 +00:06:50,090 --> 00:06:56,750 +الحسن البصري كان يعتمد في نشر الدين الإسلامي على + +67 +00:06:56,750 --> 00:07:04,850 +النقل أما واصل فقد أراد أن يكون العقل هو المعتمد + +68 +00:07:04,850 --> 00:07:10,790 +في شرح المسائل الدينيةطبعًا من أهم هذه المسائل + +69 +00:07:10,790 --> 00:07:14,630 +الدينية التي دارة حولها علم الكلام ونشاط المعتزلة + +70 +00:07:14,630 --> 00:07:19,910 +هي خمسة مسائل المسألة الأولى أو الأصل الأول هو + +71 +00:07:19,910 --> 00:07:26,010 +التوحيد والعدل والوعد والوعيد والقول بأن منزلة + +72 +00:07:26,010 --> 00:07:30,810 +مرتكب الكبيرة بين منزلتين وأخيرًا الأمر المعروف + +73 +00:07:30,810 --> 00:07:38,350 +وانهي عنه المنكرهذه هي يعني الأصول الخامسة التي + +74 +00:07:38,350 --> 00:07:43,130 +دار حولها علم الكلام وطبعا بالصفة الأساسية اللي هم + +75 +00:07:43,130 --> 00:07:50,350 +إيه المعتزلة بعد واصل بن عطاء جاء عمر عمر بن عبيد + +76 +00:07:51,170 --> 00:07:57,030 +وبعد ذلك اتفرعت المعتزلة إلى فرق على حسب أصحابها + +77 +00:07:57,030 --> 00:08:02,790 +مثل الثمامية نسبة إلى ثمامة ابن أشرف والبشرية نسبة + +78 +00:08:02,790 --> 00:08:06,650 +إلى بشر ابن معتمر والنظامية نسبة إلى النظام + +79 +00:08:07,520 --> 00:08:13,520 +والجاحظية نسبة إلى الجاحظ وبذلك ارتقت الحياة + +80 +00:08:13,520 --> 00:08:17,640 +العقلية والعقل العربي في هذا العصر ارتقاءً حيث + +81 +00:08:17,640 --> 00:08:24,860 +أصبح العقل العربي عقلاً جدلاً متفلسفاً يناقش + +82 +00:08:24,860 --> 00:08:33,560 +الأمور وفقًا لمقتليات المنطق وعلم الكلام المؤثر + +83 +00:08:33,560 --> 00:08:41,000 +الثالثمن مؤثرات الثقافة في هذا العصر هو جهود علماء + +84 +00:08:41,000 --> 00:08:48,120 +اللغة في هذا العصر فقد انصب جهود علماء اللغة على + +85 +00:08:48,120 --> 00:08:56,500 +أمرين الأمر الأول هو جمع اللغة ورواية الشعر ونراحظ + +86 +00:08:56,500 --> 00:09:01,100 +أن علماء اللغة لم يكونوا موضوعيين في جمع اللغة + +87 +00:09:01,100 --> 00:09:07,300 +وذلك لأن اللغة العربيةمرتبطة باعتبار ديني واعتبار + +88 +00:09:07,300 --> 00:09:16,060 +قومي ولذلك اكتسبت جهودهم بالذاتية لأن نظره إلى + +89 +00:09:16,060 --> 00:09:20,820 +اللغة العربية على أنها مبدأ وقيمة كما الدين + +90 +00:09:20,820 --> 00:09:25,700 +والقومية وأيضا + +91 +00:09:26,660 --> 00:09:31,200 +أنهم نظروا إلى أعلى مستوى في اللغة وهو الشعر + +92 +00:09:31,200 --> 00:09:39,640 +فالشعر يحتضن النموذج اللغوي الشعر يمثل أعلى مستوى + +93 +00:09:39,640 --> 00:09:46,040 +للغة فلم يقوموا بجمع المستوى العام مثلا أو + +94 +00:09:46,040 --> 00:09:53,340 +المستعمل بين عامة الناس وانما جمعوا المستوى الفصيح + +95 +00:09:54,440 --> 00:09:58,820 +بالإيه؟ الغريب أيضًا يعني ركّزوا على الغريب + +96 +00:09:58,820 --> 00:10:08,620 +والنادروطبعًا الجاحظ يعني يقول في بيان منهج علماء + +97 +00:10:08,620 --> 00:10:14,680 +اللغة «لم أرى غاية النحويين إلا كل شعر فيه إغراب، + +98 +00:10:14,680 --> 00:10:21,560 +ولم أرى غاية روات الشعري إلا كل شعر فيه غريب، أو + +99 +00:10:21,560 --> 00:10:27,770 +معنى صعب يحتاج إلى استخراج»هذا هو منهج علماء اللغة + +100 +00:10:27,770 --> 00:10:33,410 +في جمع اللغة وروات الشعر كانوا يهتمون بالشعر + +101 +00:10:33,410 --> 00:10:41,090 +النادر وبيئة الغريب والنادر من اللغة وأيضًا أنهم + +102 +00:10:41,090 --> 00:10:45,470 +عندما جمعوا اللغة لم يجمعوها من كل الأماكن بل + +103 +00:10:45,470 --> 00:10:50,870 +اختاروا أماكن محددة وشعراء محددين فمثلًا جمعوا + +104 +00:10:50,870 --> 00:10:56,950 +اللغة من الباديةولذلك من أكثر شعرائهم هم شعراء + +105 +00:10:56,950 --> 00:11:03,610 +الباذية مثل أبو البيداء الرياحي وابن الدمينة وابن + +106 +00:11:03,610 --> 00:11:10,050 +ميادة وأبي حيه نميري وأبي ضمضم الكلابي وأبي + +107 +00:11:10,050 --> 00:11:18,550 +العميثل وعمارة ابن عقيل واخرون واخرين إذا نلاحظ أن + +108 +00:11:18,550 --> 00:11:23,200 +علماء اللغة لم يكونوا موضوعينمن ناحية الأختيار فقد + +109 +00:11:23,200 --> 00:11:28,520 +اختاروا أعلى مستوى في اللغة وهي لغة الشعروالأمر + +110 +00:11:28,520 --> 00:11:33,280 +التاني أختاروا أماكن محددة بل أيضًا من الناحية + +111 +00:11:33,280 --> 00:11:38,720 +الزمنية وضعوا زمنا محددًا وهو منتصف القرن الثاني + +112 +00:11:38,720 --> 00:11:44,740 +الهجري فيما يتعلق بالحواضر ومنتصف القرن الرابع + +113 +00:11:44,740 --> 00:11:54,260 +الهجري فيما يتعلق بالبوادي وبهذا نجد أنهناك أيضًا + +114 +00:11:54,260 --> 00:11:59,540 +منهجية عندهم صحيح أنهم لم يكونوا موضوعيين لكن كانت + +115 +00:11:59,540 --> 00:12:07,740 +لديها منهجية تعزز نهجهم الحريص على حماية اللغة + +116 +00:12:07,740 --> 00:12:15,600 +العربية من اللحن والخطأ والهدف + +117 +00:12:15,600 --> 00:12:20,460 +من هذا أن يقدّموا للجيل الجديد النموذج الذي يحتكم + +118 +00:12:20,460 --> 00:12:31,740 +إليهوالذي ينبغي أن يسير عليه الناس وتحتكم + +119 +00:12:31,740 --> 00:12:38,380 +إليه القاعدة النحوية واللغوية فحل الإشكال اللغوي + +120 +00:12:38,380 --> 00:12:43,100 +إنما يكون بالرجوع إلى الأصل ولذلك اهتموا بالغنيب + +121 +00:12:43,100 --> 00:12:50,110 +وبالنادركذلك كان همهم من ذلك أن يحافظوا على + +122 +00:12:50,110 --> 00:12:54,690 +الصليقة العربية من أن تنتقص في هذا العصر بفعل + +123 +00:12:54,690 --> 00:13:05,270 +الهجمة الفلسفية والحضارات الأخرى أيضًا وجدنا أنهم + +124 +00:13:05,270 --> 00:13:12,070 +يريدون أن يؤسسوا للقاعدة النحوية فهذا هو الذي + +125 +00:13:12,070 --> 00:13:17,260 +دفعهم إلى أن ينتقواالمستوى العالي من اللغة + +126 +00:13:17,260 --> 00:13:24,680 +ليحافظوا على لغة القرآن الكريم وما يدل على أن + +127 +00:13:24,680 --> 00:13:34,200 +الصليقة العربيةلم تنتقص في هذا العصر وجدنا ابا + +128 +00:13:34,200 --> 00:13:40,420 +نواس يحفظ ستين ديوانا من دواوين النساء غير ما كان + +129 +00:13:40,420 --> 00:13:45,140 +يحفظه من دواوين الرجال وكذلك كان يحفظ سبعمائة + +130 +00:13:45,140 --> 00:13:52,160 +أرجوزة غير ما كان يحفظه من القصيدويقول فيه الجاحظ + +131 +00:13:52,160 --> 00:13:58,760 +ما رأيت أحدا أعلم باللغة من أبي نواس ولا أفصح لهجة + +132 +00:13:58,760 --> 00:14:04,500 +محلاوة ومجانبة لاستقرار هذا دليل على أن الصليقة + +133 +00:14:04,500 --> 00:14:08,920 +العربية لم تنتقص فقد قدم علماء اللغة مادة لغوية + +134 +00:14:08,920 --> 00:14:15,840 +دسمة للشعراءيستطيعوا من خلالها أن يستعيدوا الصليقة + +135 +00:14:15,840 --> 00:14:23,860 +العربية التي كانت عدة الشاعر في العصر الجاهل وكذلك + +136 +00:14:23,860 --> 00:14:30,960 +وجدنا بشار بيو بورد يتمثل الصليقة خير تمثل فقد كان + +137 +00:14:30,960 --> 00:14:38,020 +في مجلس عقب ابن سلم وفي المجلس كان الراجد عقب ابن + +138 +00:14:38,020 --> 00:14:45,740 +رؤبة ابن العجاجالذي مدح عقبى ابن سلب أرجوزة ثم قال + +139 +00:14:45,740 --> 00:14:52,260 +لبشار بعد إنشاده لهذه الأرجوزة هذا طراز لا تحسنه + +140 +00:14:52,260 --> 00:14:59,020 +يا أبا معاذ فغضب بشار وقال أنا أرجز منك ومن أبيك + +141 +00:14:59,020 --> 00:15:07,360 +ومن جدك ويقصد بذلك أيه العجاج وعجاب ابن عقبى وأنشد + +142 +00:15:07,360 --> 00:15:16,640 +بشارعقبة أرجوزة فقال في مستهلها يا طلل الحي بذات + +143 +00:15:16,640 --> 00:15:22,500 +الصمد بالله خبر كيف كنت بعده فطلبه عقبة ابن سلم + +144 +00:15:22,500 --> 00:15:28,080 +وكفاءه مكافئة كبيرة هذا يدل على أن الصريقة العربية + +145 +00:15:28,080 --> 00:15:35,650 +لم تنتقص في هذا العصر بفضل جهود علماء اللغةأيضًا + +146 +00:15:35,650 --> 00:15:43,270 +ما يدل على تمثل الشعراء المحدثين للشعر القديم وأن + +147 +00:15:43,270 --> 00:15:51,690 +السليقة لم تنتقص أن بشارًا أنشد + +148 +00:15:51,690 --> 00:15:58,500 +خلف الأحمر قصيدته في سلم ابن قتيبةفقال قال فيها + +149 +00:15:58,500 --> 00:16:04,340 +بكرا صاحبيا قبل الهجيرى إن ذاك النجاح في التبكير + +150 +00:16:05,520 --> 00:16:12,340 +فسأله خلف عن اكثاره للغريب فقال بلغني أن سلمان كان + +151 +00:16:12,340 --> 00:16:19,680 +يتباصر بالغريب يعني يطلب الغريب لأن الغريب يعطي + +152 +00:16:19,680 --> 00:16:26,100 +صفة الأصالة في النص وطبعا الأمراء والولاه يبحثون + +153 +00:16:26,100 --> 00:16:31,340 +عن هذا العنصر الأصالة حتى يعزز مكانتهم السياسية + +154 +00:16:31,340 --> 00:16:38,760 +وقال لهلو قلت مكان إن ذا كان نجاح في التبكير لو + +155 +00:16:38,760 --> 00:16:45,080 +قلت بكرا فالنجاح في التبكير فأجابه بشعل فور إني + +156 +00:16:45,080 --> 00:16:51,540 +بنيتها عربية وحشية وهكذا نجد أن الشاعر العباسي قد + +157 +00:16:51,540 --> 00:16:59,330 +نفذ إلى دقائق لغوية وأسلوبيةتدل على أنه تمثل + +158 +00:16:59,330 --> 00:17:04,470 +الصليقة العربية خير تمثل في هذا العصر بفضل هذه + +159 +00:17:04,470 --> 00:17:11,170 +الجهود العظيمة التي قام بها علماء اللغة وقلنا إن + +160 +00:17:11,170 --> 00:17:17,790 +علماء اللغة قد حددوا مكان للأخر اللغوي فأبو عمرو + +161 +00:17:17,790 --> 00:17:24,180 +بن العلاق شيخ علماء البصرة يقوللا أقول قالة العرب + +162 +00:17:24,180 --> 00:17:30,740 +إلا ما سمعتم من عالية السافلة وسافلة العالية ويقص + +163 +00:17:30,740 --> 00:17:36,240 +بذلك الجزء الغربي من نجد والسفوح الشرقية لجبال + +164 +00:17:36,240 --> 00:17:43,130 +الحجازهذا هو مكان الأخذ اللغوي فلم يأخذوا مثلا من + +165 +00:17:43,130 --> 00:17:50,850 +المناطق التي تتاخم الـRome أو الـFrance أو الحبشة + +166 +00:17:50,850 --> 00:17:58,330 +أو الهنود فقال أبو نصر الفرابي ولم يُأخذ عن غيرهم + +167 +00:17:58,330 --> 00:18:02,450 +يعني عن هذه القبائل القبائل النجدة اللي هي قيس + +168 +00:18:02,450 --> 00:18:07,110 +وتميم وأسدولم يُأخذ عن غيرهم من سائر قبائلهم + +169 +00:18:07,110 --> 00:18:12,730 +وبالجملة فإنه لم يُأخذ عن حضري قط ولا عن ثكان + +170 +00:18:12,730 --> 00:18:18,310 +البراري فمن كان يسكن أطراف بلادهم المجاورة كسائر + +171 +00:18:18,310 --> 00:18:25,830 +الأمم الذين حولهم فإنه لم يُأخذ لا من لخم ولا من + +172 +00:18:25,830 --> 00:18:32,070 +جذام مع أن هذه قبائل عربية لكن لأنها تجاور أهل مصر + +173 +00:18:32,070 --> 00:18:38,300 +والقبطفلم يُأخذ منها وكذلك لم يُأخذ من قضاعة + +174 +00:18:38,300 --> 00:18:44,860 +وغفسان وإياد لأنهم يجاوزون أهل الشام وأكثر أهل + +175 +00:18:44,860 --> 00:18:50,740 +الشام نصارى يقرؤون بالعبرانية فلم يُأخذ منهم مع + +176 +00:18:50,740 --> 00:18:56,420 +أنهم قبائل عربية أيضًا ولا من تغلب و النمر فإنهم + +177 +00:18:56,420 --> 00:19:01,750 +كانوا بالجزيرة مجاورين لليونانولا من بكر لمجاورة + +178 +00:19:01,750 --> 00:19:06,510 +من النبط والفرس ولا من عبدقيس وأزد عمان لأنهم + +179 +00:19:06,510 --> 00:19:12,970 +كانوا بالبحرين مخالقين للهند والفرس ولا من أهل + +180 +00:19:12,970 --> 00:19:17,130 +اليمن لأنهم يخالقون الهند والحبشة ولا من بني حنيفة + +181 +00:19:17,130 --> 00:19:24,370 +وسكان اليمامة ولا من ثقيف وأهل الطائف لأنهم + +182 +00:19:24,370 --> 00:19:30,730 +يخالقون تجارة اليمنالذين يختلطون مع الهند والحبشة + +183 +00:19:30,730 --> 00:19:36,830 +ولا من حاضرة الحجاز لا من مكة ولا من المدينة لأنهم + +184 +00:19:36,830 --> 00:19:42,410 +عندما أخذوا اللغة في هذا القرن وجدوا أن هناك أمما + +185 +00:19:43,460 --> 00:19:48,720 +كثيرة تلد إلى مكة وإلى المدينة بذافع الحج و + +186 +00:19:48,720 --> 00:19:55,500 +الإسلام وغير ذلك فلذلك لم يُأخذ من هتين الحاضرتين + +187 +00:19:55,500 --> 00:20:00,960 +أيضًا هذا يدل على أن هناك منهجية مع أنه ليس هناك + +188 +00:20:00,960 --> 00:20:06,900 +موضعية لكن لديهم إيه منهجية تطبق هذا المبدأ وهو + +189 +00:20:06,900 --> 00:20:12,020 +اللغة العربيةأما الوظيفة الأخرى لعلماء اللغة هو + +190 +00:20:12,020 --> 00:20:17,980 +نقض الشعر المحدث فقد أسهموا في نقض الشعر وقدموا + +191 +00:20:17,980 --> 00:20:23,040 +نظرية نقضية في هذا العصر هذه النظرية النقضية تقوم + +192 +00:20:23,040 --> 00:20:27,760 +على إسقاط الشعر المحدث يعني لا ينظر إلى الشعر + +193 +00:20:27,760 --> 00:20:33,240 +المحدث في هذا العصر إلا ما كان عليه على نمطه الشعر + +194 +00:20:33,240 --> 00:20:41,490 +القديمولذلك تمسكوا بالنموذج القديم تمسكًا عجيبًا + +195 +00:20:41,490 --> 00:20:49,890 +وجدنا من الشعراء من العلماء من يسقط الشعراء أو + +196 +00:20:49,890 --> 00:20:56,250 +يختم الشعراء بشاعر من البادية أو من نهاية العصر + +197 +00:20:56,250 --> 00:21:03,440 +الأموي تمثلًا أبو عمرابن العلاء يختم الشعر بذي + +198 +00:21:03,440 --> 00:21:08,320 +الرُمّة والرجد برُقبة قائلا في المحدثين إنهم كل + +199 +00:21:08,320 --> 00:21:15,160 +على غيرهم إن قالوا حسنا فقد سبقوا إليه وإذا قالوا + +200 +00:21:15,160 --> 00:21:19,980 +قبيحا فمن عندهم هذا دليل على أنهم إيه يسقطون الشعر + +201 +00:21:19,980 --> 00:21:25,860 +المحدث إسقاطا مدوية وكذلك كان الأصمعي يختم شعراء + +202 +00:21:25,860 --> 00:21:32,360 +بابن ميادةوابن هرمة وأضرابهما من شعراء نجد والحجاز + +203 +00:21:32,360 --> 00:21:38,300 +الذين أدركوا الدولة العباسية ومما يدل على أنه يسقط + +204 +00:21:38,300 --> 00:21:44,720 +الشعر المحدث إسقاطا مدويا أن إسحاق الموصل أنشده + +205 +00:21:44,720 --> 00:21:49,500 +بيتين من شعرة ولم يسم قائلهما فقال + +206 +00:21:53,250 --> 00:22:01,190 +فقال فقال الأصمعي فقال + +207 +00:22:01,190 --> 00:22:08,330 +معجبًا بيهما ثم عندما أشار إسحاق الموصل أنهم من + +208 +00:22:08,330 --> 00:22:15,430 +نظبه بادره بقوله أفسدت الشعرة إن التوليد عليهم + +209 +00:22:15,430 --> 00:22:22,580 +لبين أو فيهما لبينأيضًا يروى أن ابن منازل كان يقول + +210 +00:22:22,580 --> 00:22:28,020 +لأبي عبيدة اتق الله واحكم بين الشعري والشعري عدي + +211 +00:22:28,020 --> 00:22:36,260 +بن زيدن العبادي ولا تقول ذاك جاهلي وهذا عباسي وذلك + +212 +00:22:36,260 --> 00:22:43,120 +قديم وهذا محدث فتحكم بين العصرين ولكن احكم بين + +213 +00:22:43,120 --> 00:22:49,040 +الشعرين وداع العصبيةإذن هذا دليل آخر على أنهم + +214 +00:22:49,040 --> 00:22:54,020 +يسقطون أيه الشعرة المحدث التي قيل في أوائل الدول + +215 +00:22:54,020 --> 00:23:00,680 +العباسية إسقاطا مدوية وكذلك كان ابن العربي عندما + +216 +00:23:00,680 --> 00:23:06,280 +وصف شعراء المحدثينأو عندما وصف الشعر المحدثين قال + +217 +00:23:06,280 --> 00:23:15,640 +إنما أشعار هؤلاء المحدثين يقصد أبي نواس وغيره يقصد + +218 +00:23:15,640 --> 00:23:21,180 +أبا نواس وغيره من شعراء الدولة العباسية أشعارهم + +219 +00:23:21,180 --> 00:23:31,440 +مثل الريحان نشم يوما ثم يذوي فيرمى به يعني أشعارهم + +220 +00:23:31,440 --> 00:23:38,030 +كان ريحانرائحت جميلة ثم يذبل في يومه ثم يرمى به + +221 +00:23:38,030 --> 00:23:46,250 +أما أشعار قدمائي فهي مثل المسك والعنضر كل ما حركته + +222 +00:23:46,250 --> 00:23:54,590 +أزداد طيبة لكن حقيقة أن الجودة الفنية لا تقاس + +223 +00:23:54,590 --> 00:24:02,490 +بالقدمي والحداثة إنما تقاس بدوابطبضوابط لغوية + +224 +00:24:02,490 --> 00:24:07,750 +وفنية من حيث الصورة ومن حيث الأسلوب ومن حيث + +225 +00:24:07,750 --> 00:24:13,790 +الإبداع إذ الشاعر ينبغي أن يكون مبدعا أن يأتي بصور + +226 +00:24:13,790 --> 00:24:21,350 +جديدة وليس بصور مكررة في السابق لكن علماء اللغة + +227 +00:24:21,350 --> 00:24:27,150 +كانوا ينظرون غير ذلك كانوا ينظرون إلى الشعر القديم + +228 +00:24:27,150 --> 00:24:30,170 +نظرة إجلال وإكبار + +229 +00:24:33,080 --> 00:24:40,880 +والحقيقة أن الشعراء العباسيين أو الشعراء المحدثون + +230 +00:24:40,880 --> 00:24:50,580 +يعني كانوا يعني محافظين وفقًا لما كان عليه الـGLA + +231 +00:24:50,580 --> 00:25:00,100 +السابق وما وقع من سقطات إما أن تكون ضروراترأها + +232 +00:25:00,100 --> 00:25:04,700 +الشعراء العباسيون في الشعر القديم فقاتوا عليها + +233 +00:25:04,700 --> 00:25:11,360 +وإما لغات شاذة رأوها في هذا الشعر ومن حقهم مجارتها + +234 +00:25:11,360 --> 00:25:18,660 +وإما اشتقاقات وأبنية استحدثوها على ضوء المقاييث + +235 +00:25:18,660 --> 00:25:25,240 +التي تعلموها سابقًاومن ذلك ما رواه المرذباني في + +236 +00:25:25,240 --> 00:25:32,760 +موشحه في موشح في الموشح من أن الأخفش أخذ على بشار + +237 +00:25:32,760 --> 00:25:39,320 +اشتقاقاته في بعض أشعاره لكلمتي الوجلة والغزلة + +238 +00:25:39,320 --> 00:25:48,240 +وكذلك جمعه لفظ نون بمعنى الحوت على نينانظن منه أن + +239 +00:25:48,240 --> 00:25:52,940 +هذه الكلمة تدخل في هذا القياس في قياس هذا الجمع + +240 +00:25:52,940 --> 00:26:01,300 +والمراحض أن أبا نواس كان من أكثر الشعراء العباسيين + +241 +00:26:01,300 --> 00:26:08,870 +مآخذ وهذه المآخذالتي يظن بعض الناس التي يظن بعض + +242 +00:26:08,870 --> 00:26:18,630 +الناس أنها سقطات إنما هي يعني لها يعني لها تبرير + +243 +00:26:18,630 --> 00:26:25,650 +إما أن أكون إيه لغة شاذة مثلا أو علة نحوية أو + +244 +00:26:25,650 --> 00:26:30,490 +قياسا على اشتقاق فمثلا + +245 +00:26:30,490 --> 00:26:37,640 +قال ابن قتيبةوكان أبو نواس يلحن في أشياء من شعره + +246 +00:26:37,640 --> 00:26:44,780 +لا أراه فيها إلا على حجة من الشعر القديم أو علة + +247 +00:26:44,780 --> 00:26:51,860 +بينة من علن النحو منها قوله فليت ما أنت واطن من + +248 +00:26:51,860 --> 00:26:59,870 +الثرى ليه رمسةفلايت ما أنت واطن من الثلالي رمسة + +249 +00:26:59,870 --> 00:27:05,590 +طبعا أخذوا على كلمة أخذوا ما أخذهم على كلمتين واطن + +250 +00:27:05,590 --> 00:27:15,070 +ورمسة فأما كلمة واطن فأصلها واطئ ولكن أكثر العربي + +251 +00:27:15,070 --> 00:27:22,170 +لا تهمز يعني تقول واطي أكثر العرب ومنها قرش أيضا + +252 +00:27:22,170 --> 00:27:30,860 +ونجد أن القرآن الكريمعندما نزل في قوله وبيع + +253 +00:27:30,860 --> 00:27:37,200 +المعتلة وكلمة الذئب إنما جاء بلغة هذيل وليس بلغة + +254 +00:27:37,200 --> 00:27:45,940 +قريش أكثر العرب لا تهمز يعني يميلون إلى لغة قريش + +255 +00:27:45,940 --> 00:27:55,180 +فيقولون بير وذيب والشعر أبو نواس هنايعني ايه؟ لم + +256 +00:27:55,180 --> 00:28:01,000 +يهمز فقال واطي وحذف الياء وعوض عنها بالتنوين واطن + +257 +00:28:01,000 --> 00:28:08,020 +فإذا هو يسير وفق لهجة من لهجات العرب وأما رمسا + +258 +00:28:08,020 --> 00:28:11,080 +يعني + +259 +00:28:11,080 --> 00:28:22,400 +قالوا أنه خرج عن الأصل وهذا ليس خروجا لأن رمسايعني + +260 +00:28:22,400 --> 00:28:27,900 +تُعرَبوا تمييزًا يعني الذين أخطأوه نظروا إلى أن + +261 +00:28:27,900 --> 00:28:36,340 +رمسًا هي خبر ليت مرفوع ولكنه هنا جاء تمييزًا كما + +262 +00:28:36,340 --> 00:28:43,600 +تقول ليت ثوبك هذا ليه ثم تقول إذارًا على التمييز + +263 +00:28:43,600 --> 00:28:49,420 +إذن أبو نواس له حجة من كلام العرب أو علة من علة + +264 +00:28:49,420 --> 00:28:58,940 +للنحوحاول المستشرقون أن يسيئوا إلى اللغة العربية + +265 +00:28:58,940 --> 00:29:05,880 +بزرع اليأس في النفوس عندما قالوا وطبعاً الكلام + +266 +00:29:05,880 --> 00:29:12,740 +لـJohann Fick إذ قال أن الفارسية قد أدخلت ضيماً + +267 +00:29:12,740 --> 00:29:18,890 +على العربية في هذا العصرطبعاً مستدلاً بذلك على + +268 +00:29:18,890 --> 00:29:26,790 +أشعار أبي نواس فقد ذكر أن فيها كلمات ثارسية كثيرة + +269 +00:29:26,790 --> 00:29:33,710 +والذي يراجع شعر أبي نواس وخاصة في المجون ولهو يرى + +270 +00:29:33,710 --> 00:29:39,540 +أن هناك كلمات ثارسية كثيرةوهو يورد هذه الكلمات + +271 +00:29:39,540 --> 00:29:46,160 +الفرسية ليس ضعفا في صليقته أو انتقاصا في الصليقة + +272 +00:29:46,160 --> 00:29:53,280 +عند أبي نواز وإنما يورد هذه الكلمات للتملح والتماج + +273 +00:29:53,280 --> 00:29:59,580 +والخلاعة وليس ضعفا في الصليقة العربية فمثلا يقول + +274 +00:29:59,580 --> 00:30:05,580 +في عادات المجوث وأعيادهم والمهرجان المداري لوقته + +275 +00:30:05,580 --> 00:30:11,370 +القدراريوالنقرود الكباري وجشن جهنباري وأبثال + +276 +00:30:11,370 --> 00:30:17,150 +الوهاري وخر إيران شاري طبعا هذه كلمات ثالثية إنما + +277 +00:30:17,150 --> 00:30:23,750 +جيئة بها للتملح والتعابث والتماجم وليس ضعفا في + +278 +00:30:23,750 --> 00:30:30,670 +السليقة العربية وكذلك نجد عند بعض الشعراء تسقط + +279 +00:30:30,670 --> 00:30:37,990 +كلمات نباطية في شعرهمالهدف منها ليس إلا التملح + +280 +00:30:37,990 --> 00:30:45,390 +والتعابث والتناجر كما قال إبراهيم موصلي في وصف + +281 +00:30:45,390 --> 00:30:54,690 +وداعه لخمال نباطي فقال فقال إذ البشينين حين حدثني + +282 +00:30:54,690 --> 00:31:04,610 +وقضل عمرك زالوقد لعمرك ذلنا عنه بالشيء يعني ذلنا + +283 +00:31:04,610 --> 00:31:11,050 +اترقنا عنه بالقبيح من الأفعال والسيئ من السلوك إذا + +284 +00:31:11,050 --> 00:31:16,830 +ما سقط في اللغة العربية من كلمات فارسية أو نباطية + +285 +00:31:16,830 --> 00:31:25,790 +لا يقلل منالصليقة العربية و لا ينتقصها و إنما جئت + +286 +00:31:25,790 --> 00:31:33,710 +هذه الكلمات للتضرف كما قلت و التملح و التعابث هذا + +287 +00:31:33,710 --> 00:31:37,430 +و بالله التوفيق و صلى اللهم على نبينا محمد و على + +288 +00:31:37,430 --> 00:31:40,650 +آله و صحبه و سلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/MW-5DMQ9IDw.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/MW-5DMQ9IDw.srt new file mode 100644 index 0000000000000000000000000000000000000000..b83971015b316d9c5d9c2bd5ba95feeb2682f85b --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/MW-5DMQ9IDw.srt @@ -0,0 +1,503 @@ +1 +00:00:04,890 --> 00:00:07,790 +بسم الله الرحمن الرحيم، وأصلي وأسلم على نبينا + +2 +00:00:07,790 --> 00:00:15,510 +محمد وعلى آله وصحبه وسلم تسليما كثيرا، وبعد. عنوان + +3 +00:00:15,510 --> 00:00:22,450 +هذه المحاضرة هي نظرية الشعر بين الشاعرين العباسي + +4 +00:00:22,450 --> 00:00:30,170 +والجاهلي. معلوم أن التطور العقلي والفكري الذي يعني + +5 +00:00:30,170 --> 00:00:35,930 +تميز به العصر العباسي عما سبقه أن هذا التطور الفكري + +6 +00:00:35,930 --> 00:00:43,230 +أعاد ترتيب كثير من الأفكار والمفاهيم التي كانت + +7 +00:00:43,230 --> 00:00:50,310 +موجودة سابقًا. فمثلًا فيما يتعلق بنظرية الشعر كان + +8 +00:00:50,310 --> 00:00:56,430 +الشاعر الجاهلي ينظر إلى الشعر على أنه نتاج قوة + +9 +00:00:56,430 --> 00:01:02,230 +خارجية كثيرًا ما يسندها إلى الجن. أن هذه الطاقة + +10 +00:01:02,230 --> 00:01:07,030 +الإبداعية الموجودة عنده إنما ترجع إلى الجن. أما + +11 +00:01:07,030 --> 00:01:13,110 +الشعر العباسي رأى أن هذه الظاهرة الإبداعية أو هذا + +12 +00:01:13,110 --> 00:01:20,270 +النتاج الإبداعي إنما هو نتاج قوة ذاتية كامنة لدى + +13 +00:01:20,270 --> 00:01:27,530 +الشاعر وليس من قوة خارجية. فعلي + +14 +00:01:27,530 --> 00:01:33,550 +ابن الجهم مثلًا يتحدث عن دوافع شعره، هو يقول أن دافعه + +15 +00:01:33,550 --> 00:01:40,110 +للشعر ليس المال وسؤال الرجال، إنما دافعه مستمد من + +16 +00:01:40,110 --> 00:01:49,550 +طبيعة هذا الشعر، وهي طبيعة يعني روحية. فجمالها إنما + +17 +00:01:49,550 --> 00:01:57,190 +يرجع إلى أنها لا تبحث عن مصلحة، إنما هي نابعة + +18 +00:01:57,190 --> 00:02:04,910 +من تجربة أخلاقية، تجيبه روحية. فقال: "وقصيدة غراء يفنى + +19 +00:02:04,910 --> 00:02:10,690 +الدهر قبل فنائها، لم تستمح أيدي الرجال بمدحها + +20 +00:02:10,690 --> 00:02:18,190 +وهيائها". هذه القصيدة، وقصيدة غراء يعني قصيدة جميلة + +21 +00:02:18,190 --> 00:02:25,410 +وطبعًا جمالها يعني رائع جدا، يستغرق الزمن. يفنى الزمن + +22 +00:02:25,410 --> 00:02:32,410 +وهي لا تفنى، تبقى بسبب جمالها. لماذا؟ لأنها ليست + +23 +00:02:32,410 --> 00:02:41,470 +نابعة من مصلحة، وإنما نابعة من صدق، الصدق والإخلاص. + +24 +00:02:41,470 --> 00:02:49,270 +لم تستمح أي دجالي بمدحها وهجائها أيضًا. في نظرية + +25 +00:02:49,270 --> 00:02:55,470 +الشعر عند الشعر العباسي أنه يربط بين الشعر وقائله + +26 +00:02:55,470 --> 00:03:02,550 +فالشعر يكون جميلاً وفقًا لقائله، وليس وفقًا إيه + +27 +00:03:02,550 --> 00:03:10,390 +لمكوناته الفنية والموضوعية. + +28 +00:03:10,390 --> 00:03:17,530 +مثلًا، إنما يعني يكتسب الشعر قيمته من القائل. وهذا + +29 +00:03:17,530 --> 00:03:24,470 +الشيء يعني مقرر في النقل الأدبي والفن عمومًا. مثلًا + +30 +00:03:24,470 --> 00:03:27,150 +نجد لوحات + +31 +00:03:28,780 --> 00:03:34,560 +إنما اكتسبت شهرتها، لوحات فنية اكتسبت شهرتها لأن + +32 +00:03:34,560 --> 00:03:42,060 +الفنان كان يعني من المشهير وليس لقيمتها الفنية. + +33 +00:03:42,060 --> 00:03:52,060 +مثل إيه بيكاسو، فنان عالمي، رسام عالمي، له لوحة اسمها + +34 +00:03:52,060 --> 00:04:01,170 +هذه اللوحة "طحالب الصبايا". وهذه طبعًا أنه يعني جاء + +35 +00:04:01,170 --> 00:04:06,770 +بذيل الحمار ووضع عليه أصباغًا مختلفة، ثم أدخله في + +36 +00:04:06,770 --> 00:04:12,510 +كيس من القماش. ثم بعد ذلك حرك ذيل لملة ويسرة + +37 +00:04:12,510 --> 00:04:21,220 +واختلطت الألوان والخطوط. ثم يعني أخذ الكيس وحوّله + +38 +00:04:21,220 --> 00:04:27,700 +إلى لوحة اختلطت فيها الألوان والخطوط ووجت وانحرفت + +39 +00:04:27,700 --> 00:04:34,140 +إلى آخره، وسمى هذه اللوحة "طحالب الصبايا". وكانت بيعت + +40 +00:04:34,140 --> 00:04:41,640 +بملايين الدولارات، نظرًا إلى أن صاحبها بيكاسو وليس + +41 +00:04:41,640 --> 00:04:48,960 +وفقًا يعني لاعتبارات فنية. فالذي أقوله أن القصيدة + +42 +00:04:48,960 --> 00:04:56,640 +قد تكتسب جمالها الفني، روعتها من قائلها، وليس من + +43 +00:04:56,640 --> 00:05:05,360 +إمكاناتها الفنية والموضوعية. فقال طبعًا هذا يلفت + +44 +00:05:05,360 --> 00:05:14,780 +نظرنا، قول ابن الجهم: "وما أنا مما أنصار بالشعري ذكره + +45 +00:05:14,780 --> 00:05:23,840 +ولكن أشعاري يسيرها ذكري، وما أنا مما أستظل بظله، ولا + +46 +00:05:23,840 --> 00:05:29,280 +زاداني قدرا، ولا حتى من قدري". يعني الراجل ينفي عن + +47 +00:05:29,280 --> 00:05:37,350 +نفسه أنه يعني حظي هذه المكانة بسبب الشعر، بل بالعكس + +48 +00:05:37,350 --> 00:05:44,450 +الشعر يكتسب الروعة من من هو، من الشعر. وطبعًا هذه + +49 +00:05:44,450 --> 00:05:51,470 +يذكروني أو يذكرون جميعًا أصلاً أن هناك أناس، أن هناك + +50 +00:05:51,470 --> 00:05:59,450 +أناس يصنعهم الإعلام مثلًا كما نرى في واقعنا، أو هناك + +51 +00:05:59,450 --> 00:06:04,530 +أناس، أو أن هناك أناس يصنعهم التاريخ. فرق بين من + +52 +00:06:04,530 --> 00:06:09,530 +يصنعون التاريخ ومن يصنعهم التاريخ. يعني هذا ممكن + +53 +00:06:09,530 --> 00:06:15,830 +تنسحب على إيه على ظواهر أخرى خارج نطاق الشعر يعني + +54 +00:06:15,830 --> 00:06:25,810 +أنا لا يصنعني الشعر، أنا يعني مشهور ليس بالشعر، الشعر + +55 +00:06:25,810 --> 00:06:32,890 +لا يشهرني، إنما شعري يشتهر به. وما أنا مما أستظله + +56 +00:06:32,890 --> 00:06:40,090 +بظله ولا زاداني قدرا ولا حتى من قدري. إذن أنا صاحب + +57 +00:06:40,090 --> 00:06:49,930 +مبادئ وصاحب قيم، واشتهرت بقيمي بذكري وليس بشعري. أيَضًا + +58 +00:06:49,930 --> 00:06:55,730 +ما يتعلق بنظرية الشعر ما أشار إليه البحتري، لأن + +59 +00:06:55,730 --> 00:07:02,470 +طبيعة الشعر هي طبيعة روحية. فهو لمحة عابرة تتغذى + +60 +00:07:02,470 --> 00:07:07,410 +على العاطفة وليس على المنطق والأدلة المنطقية + +61 +00:07:07,410 --> 00:07:13,150 +المتطابقة مع الواقع. فالشعر يقوم على اللمحة يعني + +62 +00:07:13,150 --> 00:07:18,110 +مقدمة بلا نتيجة أو نتيجة بلا مقدمة، بخلاف المنطق. + +63 +00:07:18,110 --> 00:07:25,530 +المنطق له علاقات تربط المقدمة بالنتيجة، علاقة السبب + +64 +00:07:25,530 --> 00:07:30,790 +والنتيجة، مثلًا علاقة الجزء والكل، العام والخاص، + +65 +00:07:30,790 --> 00:07:34,810 +اللازم والملزوم. هذه علاقات منطقية تربط المقدمات + +66 +00:07:34,810 --> 00:07:41,370 +بالنتائج. لكن الشعر لأ، الشعر ربما يعني يأتي بمقدمة + +67 +00:07:41,370 --> 00:07:50,090 +دون نتيجة أو نتيجة بلا مقدمة. ولذلك هو يقول أن المَلِك + +68 +00:07:50,090 --> 00:07:57,150 +القيث، وهو زعيم الشعراء وقائد ذوائهم، مع أنه لم يكن + +69 +00:07:57,150 --> 00:08:04,050 +له حظ بالمنطق لكنه أبدع في الشعر، وأتى يعني ببدائع + +70 +00:08:04,050 --> 00:08:14,550 +جمة في معلقته وفي شعره. يقول البحتري: "كلفتمون حدود + +71 +00:08:14,550 --> 00:08:20,250 +منطقكم، والشعر يغني عن صدقه كذبه". يعني الكذب هنا + +72 +00:08:20,250 --> 00:08:25,990 +المقبول، يعني الخيال، لأن الخيال خلاف الواقع، فهو لا + +73 +00:08:25,990 --> 00:08:31,500 +يتطبق مع الواقع، لذا قال: "كذبه". والشعر يغني عن صدقه + +74 +00:08:31,500 --> 00:08:38,460 +كذبه، يعني يستطيع من خلال الخيال أن يجمل الجميل + +75 +00:08:38,460 --> 00:08:45,780 +ويقبح القبيح. ولم يكن ذو القروح يلهج بالمنطق اللي + +76 +00:08:45,780 --> 00:08:51,340 +هو إمل القيص. لم يكن إيه ذو القروح يلهج بالمنطق + +77 +00:08:51,340 --> 00:08:56,040 +يعني إيه يستعمل منطق اللي هو ما نوعه وما سببه + +78 +00:08:56,040 --> 00:09:03,470 +وتعريفه ونحو ذلك. والشعر لمح، وهنا طبعًا يقرر النظرية + +79 +00:09:03,470 --> 00:09:09,010 +نظرية الشعر، والشعر لمح، تكفي إشارته. الإشارة يعني + +80 +00:09:09,010 --> 00:09:13,770 +مقدمة دون نتيجة، حتى في اللغة يعني استعمل اللغة إيه + +81 +00:09:13,770 --> 00:09:19,770 +الكلمات الموحية والأسلوب إيه الموحي المثير لإيه + +82 +00:09:19,770 --> 00:09:27,230 +المعاني، أسلوب إيجاز لماح، أسلوب مكثف وليس بالهزر. + +83 +00:09:27,230 --> 00:09:36,590 +طولت خطبه، يعني الشعر لا يستعمل أسلوب الخطابة التي + +84 +00:09:36,590 --> 00:09:41,970 +يقوم على الإقناع والربط بين المقدمات والنتائج. + +85 +00:09:45,340 --> 00:09:52,200 +فهذه رؤية تخالف رؤية الشعر الجاهلي للشعر. فالشعر + +86 +00:09:52,200 --> 00:10:02,240 +الجاهلي يرى أن الشعر هو نتاج قوة مستمدة من الجن. + +87 +00:10:02,240 --> 00:10:10,820 +فقال، قال الأعشى الكبير ميمون بن قيس في استعانته + +88 +00:10:10,820 --> 00:10:17,420 +بمسحل، وهو من مرض الجن. فقال: "فلما رأيت الناس للشر + +89 +00:10:17,420 --> 00:10:25,040 +أزعنوا، وسابوا إلينا من فصيحٍ وأعجمي، دعوت خليل + +90 +00:10:25,040 --> 00:10:32,880 +مسحلا ودعوا له جهنم جدعا، للهجين المذمم. حبان أخ + +91 +00:10:32,880 --> 00:10:39,960 +الجنية نفسي فدائه بأفياح جياش من الصدر الخضرمي". + +92 +00:10:39,960 --> 00:10:48,760 +فلما رأيت الناس للشر أزعنوا، يعني استجابوا للشر، يعني + +93 +00:10:48,760 --> 00:10:58,160 +استمعت لديهم الإرادة والسلوك في الشر وحشدوا لذلك + +94 +00:10:58,160 --> 00:11:05,860 +وسابوا إلينا من فصيحة وأعجمي، يعني رجعوا إلينا + +95 +00:11:05,860 --> 00:11:12,970 +متسلحين بهذا الحشد من كل الفصحاء، من فصيح وأعجم. + +96 +00:11:12,970 --> 00:11:21,450 +طبعًا من كل الفصحاء لدرجة أنهم يستعانوا بالأعجم + +97 +00:11:21,450 --> 00:11:27,350 +يعني هذا الأسلوب يقال عندما يكون قد حشد كل + +98 +00:11:27,350 --> 00:11:32,530 +المهارات المطلوبة. نقول: "وسابوا إلينا" كما يقول + +99 +00:11:32,530 --> 00:11:39,780 +الشعر من فصيح، يعني من كل الفصحاء. طبعًا التعبير عن كل + +100 +00:11:39,780 --> 00:11:46,640 +الفصحاء أنه يدخل الأعاجم معهم، من كان أعجميًا + +101 +00:11:46,640 --> 00:11:50,280 +وثابوا + +102 +00:11:50,280 --> 00:11:55,800 +إلينا من فصيح وأعجمين. دعوت خليلي، حينها دعوت + +103 +00:11:55,800 --> 00:12:02,560 +خليلي، مثلًا. وعندما رأوني أن أنا دعوت خليلي مسهلا + +104 +00:12:02,560 --> 00:12:09,680 +دعوا رأي، يعني شخص من الجن مشهور بالإيه بأنه يعني + +105 +00:12:09,680 --> 00:12:19,340 +قوة رهيبة بهدف ضرب وجدع أنف مسهل، وطبعًا + +106 +00:12:19,340 --> 00:12:24,340 +كلمة "جدع" يعني تستعمل يعني في الضرب على الأنف، على + +107 +00:12:24,340 --> 00:12:30,340 +مواطن العزة والكرامة. جدع. فالشعب اختار كلمة "جدعا" + +108 +00:12:30,340 --> 00:12:35,880 +يعني الضرب على الأنف، للهجين المذمم. من هو الهجين + +109 +00:12:35,880 --> 00:12:41,320 +المذمم؟ اللي هو مسحل. طبعًا هنا أسلوب ذم لكنه يريد + +110 +00:12:41,320 --> 00:12:49,640 +المدح، أنه هذا المسحل شرير ومهجن. يعني فيه سطرات + +111 +00:12:49,640 --> 00:12:58,290 +القوة. هباني أخ الجنية نفسي فدائه. هذا + +112 +00:12:58,290 --> 00:13:05,210 +الدعاء "نفسي فدائه" إنما يعني يريد أن يعبر عن تلك + +113 +00:13:05,210 --> 00:13:12,930 +أي طاقة القوية التي منحها له الجني. هباني أخ الجني + +114 +00:13:12,930 --> 00:13:20,550 +نفسي فدائه، يعني طاقة رائعة لا يمكن أن توصف، بقوة + +115 +00:13:20,550 --> 00:13:29,150 +متدفقة بأفيح جياش، بأوسع قوة من الصدر الخضرمي، متدفقة + +116 +00:13:29,150 --> 00:13:34,150 +وكذلك افتخر أبو نجم العجلي في مراجزة العجاج بن + +117 +00:13:34,150 --> 00:13:44,540 +رقبة بأن شيطانه ذكر، وشيطان غيره من الأنثى. يقول: "إني + +118 +00:13:44,540 --> 00:13:50,540 +وكل شاعر من البشرى شيطانه أنثى، وشيطاني ذكره". لأن + +119 +00:13:50,540 --> 00:13:56,440 +هنا نستطيع أن نقول أن التطور العلمي الذي لحق أو + +120 +00:13:56,440 --> 00:14:05,540 +أصاب يعني العصر العباسي، منحهم من إعادة مراجعة لكثير + +121 +00:14:05,540 --> 00:14:11,760 +من المفاهيم السابقة. فلم يعد الإنسان في العصر .. في + +122 +00:14:11,760 --> 00:14:16,700 +هذا العصر أن يتقبل مثل هذه الخرافات وهذه + +123 +00:14:16,700 --> 00:14:24,260 +الخزعبلات. فالعلم هو الكفيل لتحطيم هذه الأذرع + +124 +00:14:24,260 --> 00:14:28,120 +الجاهلية. هذا هو بالله التوفيق، وصلى الله عليه وسلم + +125 +00:14:28,120 --> 00:14:32,920 +على نبينا محمد وعلى آله وصحبه وسلم تسليما + +126 +00:14:32,920 --> 00:14:33,440 +كثيرا. diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI.srt new file mode 100644 index 0000000000000000000000000000000000000000..c34a9040c96ef66599150a29e82e1cceeff90b14 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI.srt @@ -0,0 +1,889 @@ +1 +00:00:04,890 --> 00:00:09,070 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:09,070 --> 00:00:14,690 +وعلى آله وصحبه وسلم تسليما كثيرا وبعد نتناول في + +3 +00:00:14,690 --> 00:00:20,010 +هذه المحاضرة الموضوعات أو التجديد في الموضوعات + +4 +00:00:20,010 --> 00:00:26,790 +القديمة وكلمة تجديد تعني إضافة عناصر جديدة إلى ما + +5 +00:00:26,790 --> 00:00:33,310 +هو قديم يكون هذا القديم صالحا للجديد أو للعصر + +6 +00:00:33,310 --> 00:00:39,350 +الجديد من أهم هذه الموضوعات في الشعر القديم هو + +7 +00:00:39,350 --> 00:00:45,010 +قصيدة المدح وكانت قصيدة المدح تمثل المنظومة + +8 +00:00:45,010 --> 00:00:51,370 +الأخلاقية العربية ولذلك حظيت باهتمام كبير اهتمام + +9 +00:00:51,370 --> 00:00:54,150 +الشعراء + +10 +00:00:55,280 --> 00:00:59,720 +والعرب بقصيدة المدح لأنها كانت تحوي المنظومة + +11 +00:00:59,720 --> 00:01:06,140 +الأخلاقية العربية إذا كان الممدوح يمدح بأنه يحافظ + +12 +00:01:06,140 --> 00:01:10,880 +على هذه المنظومة أو أن هذه المنظومة قد تمثلت في + +13 +00:01:10,880 --> 00:01:21,420 +هذا الممدوح أجمل تمثل كانت المدحة أو قصد المدح + +14 +00:01:21,420 --> 00:01:29,380 +تبعث في المتلقي والمجتمع العربي أجمل المعاني وأنبل + +15 +00:01:29,380 --> 00:01:34,790 +الأخلاق الجديد أو العناوين الجديدة التي أضيفت إلى + +16 +00:01:34,790 --> 00:01:43,580 +هذه القصيدة هو أن معاني المدح تلائم الممدوح لمعنى + +17 +00:01:43,580 --> 00:01:50,120 +آخر أن الشاعر يعبّر أو يربط بين الممدوح ومعاني المدح + +18 +00:01:50,120 --> 00:01:56,760 +فإذا كان الممدوح خليفة مدح بالتقوى ومدح بالعفة + +19 +00:01:56,760 --> 00:02:03,080 +والحياء والعدل وأنه يحافظ على السنة ويقمع البدعة + +20 +00:02:03,080 --> 00:02:09,790 +كما قال مروان ابن أبي حفصة يمدح المهدي أحيى أمير + +21 +00:02:09,790 --> 00:02:16,890 +المؤمنين محمد صنن النبي حرامها وحلالها ويقول + +22 +00:02:16,890 --> 00:02:24,410 +الحسين بن مطير الأسدي يعفو ويستحي إذا كان + +23 +00:02:24,410 --> 00:02:34,100 +خاليا كما يعفو ويستحي بحيث رقيبه بمعنى أنه عفيف + +24 +00:02:34,100 --> 00:02:41,620 +وحَيّي في حياته السر والعلن يعني صادق في عفته وصادق + +25 +00:02:41,620 --> 00:02:49,960 +في حيائه فهو يطابق بين السر والعلن أما أبو العتاهية + +26 +00:02:49,960 --> 00:02:57,260 +فقد وظّف معاني الزهد في تعميق معاني المدح فقال قال + +27 +00:02:57,260 --> 00:03:07,140 +في مدح الرشيد فراعن يراعي الله في حفظ أمة يدافع + +28 +00:03:07,140 --> 00:03:14,000 +عنها الشر غير رقود يتجافى عن الدنيا وأيقن أنها + +29 +00:03:14,000 --> 00:03:20,880 +مفارقة ليست بدار خلود فنلاحظ في البيت الأول أن + +30 +00:03:20,880 --> 00:03:29,400 +الخليفة يراعي الله سبحانه وتعالى في المحافظة على + +31 +00:03:29,400 --> 00:03:36,110 +ثواب أمة وعلى مكتسباتها وأنه يدافع عن كرامتها + +32 +00:03:36,110 --> 00:03:43,050 +ويدفع عنها الشر بإرادة صادقة غير متقاعسة في البيت + +33 +00:03:43,050 --> 00:03:47,370 +الثاني نجد معاني الزهد تجافى عن الدنيا هنا توظيف + +34 +00:03:47,370 --> 00:03:55,270 +ل معنى الزهد فالزهد يقوم على تهذيب حب الإنسان في + +35 +00:03:55,270 --> 00:04:02,270 +البقاء وتهذيب حب الإنسان في حب التملك + +36 +00:04:04,510 --> 00:04:10,370 +وأهم شيء في الزهد هو أن يبتعد الإنسان عن ملذات + +37 +00:04:10,370 --> 00:04:18,070 +الدنيا وعن اليقين بالبقاء فيها كما قال صلى الله + +38 +00:04:18,070 --> 00:04:23,750 +عليه وسلم "ازهد في الدنيا يحبك الله وازهد في ما يملك الناس يحبك الناس" تجافى عن الدنيا وأيقن أنها مفارقة + +39 +00:04:23,750 --> 00:04:28,810 +ليست بدار خلود فهنا تهذيب أو تهذيب للرغبة + +40 +00:04:28,810 --> 00:04:35,580 +الإنسانية في حب التملك وحب البقاء لا شك أن أبا + +41 +00:04:41,400 --> 00:04:44,820 +العتاهية وانطلاقا من ثقافته الزهدية كان يود أن تكون + +42 +00:04:44,820 --> 00:04:49,780 +هذه المعاني في شخصية الرشيد وطبعا هذا يقودنا إلى + +43 +00:04:49,780 --> 00:04:54,600 +القول بأن هذه المعاني الموجودة في قصيدة المدح في + +44 +00:04:54,600 --> 00:05:00,180 +قصيدة المدح إما أن تكون صفات في الممدوح حقيقة أو + +45 +00:05:00,180 --> 00:05:10,600 +مطالب يود الشاعر أن تكون في الممدوح قال النمري يمدح + +46 +00:05:10,600 --> 00:05:16,400 +هرون الرشيد "بورك هارون من إمام بطاعة الله ذات الصارم له إلى ذي الجلال قربه ليست لعدل ولا لإمام" أي أن + +47 +00:05:16,400 --> 00:05:24,680 +الممدوح وهو الخليفة العباسي له علاقة وصلة بالله + +48 +00:05:24,680 --> 00:05:30,180 +سبحانه وتعالى ليست لمثيل له ولا لإمام قبله + +49 +00:05:30,180 --> 00:05:35,180 +فهذه المعاني كما نرى تلائم الممدوح إذا كان خليفة + +50 +00:05:37,450 --> 00:05:42,590 +أما إذا كان قائدا لجيش فإنه يمدح بالشجاعة والبطولة + +51 +00:05:42,590 --> 00:05:49,690 +وقد رسم وأبدع شعراء في هذه الفترة في مدائح + +52 +00:05:50,810 --> 00:05:56,010 +البطولة والشجاعة ورسموا أجمل صور للبطل على نحو ما + +53 +00:05:56,010 --> 00:06:04,170 +نرى عند أبي تمام أيضا نجد أشجع السلمي مشيدا بيه + +54 +00:06:04,170 --> 00:06:14,190 +الرشيد حين فتح هراقلة في آسيا الصغرى أما إذا كان + +55 +00:06:14,190 --> 00:06:21,000 +قائدا لجيش فإننا نجد أن الشعراء يمدحون هذا القائد + +56 +00:06:21,000 --> 00:06:26,140 +بالشجاعة والبطولة ونجد أن الشعراء يتبارون في رسم + +57 +00:06:26,140 --> 00:06:33,940 +أجمل الصور لهذا البطل وأجمل المعاني لمفهوم البطولة + +58 +00:06:33,940 --> 00:06:40,790 +فمثلا نجد أشجع السلمي يشيد ببطولة الرشيد حين فتح + +59 +00:06:40,790 --> 00:06:47,750 +هرقل في أفسوس وانتصاره على جيش نقفور + +60 +00:06:47,750 --> 00:06:52,710 +إمبراطور + +61 +00:06:52,710 --> 00:06:56,010 +بيزنطة وهناك مقولة مشهورة في التاريخ من هارون + +62 +00:06:56,010 --> 00:07:09,690 +الرشيد إلى نقفور كلب الروم "الجواب كما ترى الله كما تسمع" فقال أشجع السلمي نشيدا ببطولة الرشيد "وليهنك + +63 +00:07:09,690 --> 00:07:18,150 +الفتح والأيام مقبلة إليك بالنصر معقودة نواصيها أمسى ترقلة تهوي من جوانبها ونصر الله والإسلام + +64 +00:07:18,150 --> 00:07:23,710 +يرميها ملكتها وقتلت الناكثين بها بنصر من يملك + +65 +00:07:23,710 --> 00:07:29,680 +الدنيا وما فيها ما روعي الدين والدنيا على قدم بمثل + +66 +00:07:29,680 --> 00:07:36,880 +هارون راعيه وراعيها هنا طبعا نرى صورة البطل قد + +67 +00:07:36,880 --> 00:07:42,880 +تجلت في هذه الأبيات وأيضا معاني الشجاعة من حيث + +68 +00:07:42,880 --> 00:07:50,580 +الإقدام ومن حيث إلحاق الأذى بهؤلاء المتملقين أيضا + +69 +00:07:50,580 --> 00:07:57,320 +من أجمل القصائد التي ذكرت في صور البطل ومعاني + +70 +00:07:57,320 --> 00:08:07,980 +البطولة قصائد أبي تمام في مدح المعتصم حين فتح + +71 +00:08:07,980 --> 00:08:15,460 +عمورية حيث بدت كأنها ملحمة كما سيأتي الحديث عنها + +72 +00:08:15,460 --> 00:08:20,900 +عندما نتناول أبا تمام كعلم من أعلام الشعراء في هذا + +73 +00:08:20,900 --> 00:08:26,710 +العصر أيضا هناك مقطوعة قصيرة لقصيدة طويلة لعلي ابن + +74 +00:08:26,710 --> 00:08:33,210 +جبلة الملقب بالعكوك مدح فيها بطولة أبي دلفن العجلي + +75 +00:08:33,210 --> 00:08:41,030 +قائد المأمون فقال "المنايا في مقانبه والعطايا في + +76 +00:08:41,030 --> 00:08:49,920 +ذرع حجره وزحوف في صواهله كصياح الحشر في أمره قتّاه + +77 +00:08:49,920 --> 00:08:55,820 +والموت مقتمن في مذاكيه ومشتجره فرمت يلوه منه يد + +78 +00:08:55,820 --> 00:09:02,960 +طوت المنشورة من بطره" طبعا هناك يعني عبارة نقرّرها + +79 +00:09:02,960 --> 00:09:09,880 +دائما أن البطل يكون بطلا عندما يكون صادقا في + +80 +00:09:09,880 --> 00:09:17,160 +اللقاء وقد عبر الشعراء عن صدق اللقاء وإرادة القتال + +81 +00:09:17,160 --> 00:09:23,280 +بألفاظ كثيرة هنا في هذا البيت عبر عنه عن الإرادة + +82 +00:09:23,280 --> 00:09:29,410 +الصادقة بالخيل فالخيل تعبر عن الإرادة الصادقة لأن + +83 +00:09:29,410 --> 00:09:37,390 +الخيل قبل الانطلاق تحمحم وتتحرك وهذا تعبير عن + +84 +00:09:37,390 --> 00:09:44,830 +إرادتها لانطلاق فإذا انطلقت، انطلقت بقوة وهذا + +85 +00:09:44,830 --> 00:09:51,680 +تعبير عن إرادتها للقتال أو السباق والشعر استخدم هنا + +86 +00:09:51,680 --> 00:09:58,820 +الخيل للتعبير عن الإرادة الصادقة عند الممدوح وقال + +87 +00:09:58,820 --> 00:10:06,790 +"المنايا في مقانبه" مقانب جمع مقنب والمقنب هو جماعة + +88 +00:10:06,790 --> 00:10:12,170 +الخيل مجموعة من الخيول في المعركة حيث تقسم الخيول + +89 +00:10:12,170 --> 00:10:19,390 +إلى مجموعات كل مجموعة يطلق عليها مقنب والجمع مقانب + +90 +00:10:19,390 --> 00:10:26,750 +المعنى الثاني للشطر الثاني هو "والعطايا في ذرع حجره" + +91 +00:10:26,750 --> 00:10:32,250 +يعني العطايا جمع عطية وهذه الكلمة من أوائل الكلمات + +92 +00:10:32,250 --> 00:10:35,510 +العامية التي فصحت + +93 +00:10:35,510 --> 00:10:41,780 +والمقصود هنا أن العطية في ساحة البيت أو في فناء + +94 +00:10:41,780 --> 00:10:49,440 +البيت يعني معدّة للإعطاء والمعنى أن الممدوح يعطي + +95 +00:10:49,440 --> 00:10:52,700 +بلا مطلن وهذا من جمال الكرم الكرم الخالص أن يعطي + +96 +00:10:52,700 --> 00:11:01,150 +بلا مطلن وكما قلنا في الشجاعة، الشجاعة تكون جميلة + +97 +00:11:01,150 --> 00:11:07,690 +إذا كانت نابعة من إرادة صادقة "وزحوف في صواهله كصياح + +98 +00:11:07,690 --> 00:11:15,910 +الحشر في أمره" ومن علامة إرادة صادقة أنه أعدّ عُدّة + +99 +00:11:15,910 --> 00:11:23,510 +للقتال وجهّز جيشا كثيفا "وزحوف في صواهله" صواهل جمع + +100 +00:11:23,510 --> 00:11:31,310 +الصاهل وهو الخيل بمعنى أنه أعدّ جيشا كبيرا من + +101 +00:11:31,310 --> 00:11:40,160 +الفرسان وطبعا الفرس أو الخيل يعبر عن إرادة القتال + +102 +00:11:40,160 --> 00:11:49,220 +لأن الخيل تستعمل في الهجوم على الأعداء ومن + +103 +00:11:49,220 --> 00:11:56,360 +علامة أيضا إرادة صادقة أنها تصهل قبل الانطلاق + +104 +00:11:56,360 --> 00:12:03,210 +كصياح الحشر في أمره كصياح الناس يوم خوفهم الشديد + +105 +00:12:03,210 --> 00:12:13,190 +يوم القيامة في الشدّة يعني شبه صوت الخيول في + +106 +00:12:13,190 --> 00:12:18,390 +الانطلاق نحو العدو كصياح الناس في الخوف الشديد يوم + +107 +00:12:18,390 --> 00:12:26,450 +الحشر وهذا طبعا تشبيه فيه مبالغة لأن طبعا أعلى صوت + +108 +00:12:26,450 --> 00:12:34,680 +يطلقه الإنسان في لحظة خوفه أما في لحظة غضبه وإن + +109 +00:12:34,680 --> 00:12:41,700 +كان شديدا فهو أقل لذا التشبيه هو إلحاق ناقص في + +110 +00:12:41,700 --> 00:12:50,510 +الصفة بكامل فيها وزحوف في صواهله كصياح الحشر في + +111 +00:12:50,510 --> 00:12:56,530 +أمره فصواهل الخيل لحظة الانطلاق أقل في الصفة من + +112 +00:12:56,530 --> 00:13:03,030 +صياح الناس يوم الخوف الشديد يوم الحشر يوم القيامة + +113 +00:13:03,030 --> 00:13:09,170 +قتّاه والموت مكتمن في مذاكيه والمذاكيه هي أماكن + +114 +00:13:09,170 --> 00:13:15,510 +الذبح والنحر ويقصد الخيل والقبل فالخيل تذبح والقبل + +115 +00:13:15,510 --> 00:13:21,460 +تنحر ومشتجره مكان الإصابة بالسيوف أو الرماح + +116 +00:13:21,460 --> 00:13:26,000 +فالموت كامل في هذه الأماكن الأماكن الذبحية وأماكن + +117 +00:13:26,000 --> 00:13:35,050 +الجراح فرمت يلوه منه يد هذا الجيش على كثافته + +118 +00:13:35,050 --> 00:13:42,590 +وإعداده الجيد لم يستعمل منه إلا يد واحدة هذه اليد + +119 +00:13:42,590 --> 00:13:49,210 +أحالت كبرياء يلوه وهو شخص خرج على الدولة العباسية + +120 +00:13:49,210 --> 00:14:05,330 +في أذربيجان فكان مصيره أن أحالت هذه الضربة أحالت + +121 +00:14:05,330 --> 00:14:13,280 +كبرياءه وأفعاله السيئة إلى ماضي + +122 +00:14:13,280 --> 00:14:23,080 +أيضا من المعاني والعناصر الجديدة التي ظهرت في + +123 +00:14:23,080 --> 00:14:27,820 +قصيدة المدح هو إظهار المعاني الإسلامية على هذه + +124 +00:14:27,820 --> 00:14:30,300 +القيم أو إعطاء هذه القيم معنى إنسانيا، معنى إسلاميا + +125 +00:14:34,510 --> 00:14:42,450 +مثل قول الشاعر البحتري يمدح المتوكل "خلق الله جعفرا + +126 +00:14:42,450 --> 00:14:48,850 +قيم الدنيا سدادا وقيم الدين رشدا أظهر العدل + +127 +00:14:48,850 --> 00:14:55,530 +فاستظلّ بيه الأرض وعم البلاد غورا ون جدًا" أعطى + +128 +00:14:55,530 --> 00:15:06,540 +معنى إسلامي وهو أن هذا الممدوح يجمع بين بين + +129 +00:15:06,540 --> 00:15:14,580 +خيرية الدنيا والآخرة أو الدين والشيء الثاني أنه + +130 +00:15:14,580 --> 00:15:21,860 +أنه إنسان عادل وهذا العادل قد عم البلاد وهنا طبعا + +131 +00:15:21,860 --> 00:15:28,920 +استغرق مكاني غورا ون جده يعني المَرْضُ تَفَعَّ مِنْ الأَرْضِ مَا + +132 +00:15:28,920 --> 00:15:35,840 +خَفَضَ مِنْ الأَرْضِ وَمَا عَلَى مِنْ الأَرْضِ وهو إيه النجد ومن + +133 +00:15:35,840 --> 00:15:41,940 +الظواهر التي ظهرت في قصّة المدح في هذا العصر وجدنا + +134 +00:15:41,940 --> 00:15:48,860 +صفة المبالغة تظهر في معاني المدح من هذه الصور الصور + +135 +00:15:48,860 --> 00:15:57,700 +المبالغة صفات التقديس كما قال ابن الجهم يمدح + +136 +00:15:57,700 --> 00:16:03,180 +المتوكل "له المنّة العظمى على كل مسلم وطاعته فرض من + +137 +00:16:03,180 --> 00:16:12,460 +الله منزل" فالمعلوم أن المنّة هي لله سبحانه وتعالى + +138 +00:16:12,460 --> 00:16:19,460 +لا تمنّوا علي إسلامكم بل الله يمنّ عليكم أن هداكم + +139 +00:16:19,460 --> 00:16:25,420 +للإسلام فالمنّة العظمى هي لله سبحانه وتعالى وطبعا + +140 +00:16:25,420 --> 00:16:30,440 +الشعر هنا استعملها للمبالغة له المنّة العظمى على كل + +141 +00:16:30,440 --> 00:16:35,800 +مسلم وطاعته فرض من الله منزله طبعا هذه هي من الصور + +142 +00:16:35,800 --> 00:16:40,840 +المبالغة في صفات الممدوح أن طاعته فرض من الله منزل + +143 +00:16:40,840 --> 00:16:48,710 +ونحن نعلم أنه لا طاعة لمخلوق في معصية الخالق وأن + +144 +00:16:48,710 --> 00:16:54,690 +الطاعة ليست فرضا فرضها الله سبحانه وتعالى على عباده خاصة + +145 +00:16:54,690 --> 00:17:04,910 +بالمتوكل إذا المبالغة وهذه المبالغة يعني + +146 +00:17:04,910 --> 00:17:12,390 +وجدناها تظهر كظاهرة جديدة في الشعر العباسي وقد + +147 +00:17:12,390 --> 00:17:15,510 +كانت ممقوطة في الشعر الجاهلي إذ كان الجاهليون + +148 +00:17:15,510 --> 00:17:21,430 +يمقوطون الشعراء الذين يأتوا أو يمقوطون أقوال + +149 +00:17:21,430 --> 00:17:28,370 +الشعراء التي فيها مبالغة كقول عمر بن الخطاب حين قال + +150 +00:17:28,370 --> 00:17:34,510 +"ولو لاريح اسمع أهل حجر صليل البيض تقرع بالذكور" + +151 +00:17:34,510 --> 00:17:40,810 +فقيل هذا أكذب بيت وذلك لأن العرب في الجاهلية كانت + +152 +00:17:40,810 --> 00:17:45,170 +تكره المبالغة + +153 +00:17:45,170 --> 00:17:53,220 +طبعا المبالغة ظاهرة يعني ملحوظة في أشعار العباسيين + +154 +00:17:53,220 --> 00:18:02,200 +ومنها قول ابن الجهم أيضا لبني العباس "يا بني هاشم + +155 +00:18:02,200 --> 00:18:09,260 +بن عبد مناف نسب حبها من التوحيد أنتم خير سادة + +156 +00:18:09,260 --> 00:18:11,220 +يا بني العباس فابقوا ونحن خير عبيدكم إن رضيتم + +157 +00:18:11,220 --> 00:18:19,780 +أمرًا رضينا وإن أبيتم أبينا لكم إباء الأسول" هنا طبعا في عنده مبالغة وهذه المبالغة + +158 +00:18:19,780 --> 00:18:25,960 +تظهر في هذه العلاقة البعيدة + +159 +00:18:25,960 --> 00:18:33,100 +بين الراعي والرعية أو بين الحاكم والمحكوم هي علاقة + +160 +00:18:33,100 --> 00:18:39,090 +سادة بعبيد وعبيد بسادة طبعا هذه مبالغة لأن في + +161 +00:18:39,090 --> 00:18:43,450 +المفهوم الإسلامي إنما المؤمنون إخوة أيضا + +162 +00:18:43,450 --> 00:18:50,350 +من المبالغات عند ابن الجهم في مدح المتوكل "أنت + +163 +00:18:50,350 --> 00:18:55,170 +ميثاقنا الذي أخذ الله علينا وعهده المسؤول من يكن + +164 +00:18:55,170 --> 00:19:01,690 +شغله بغيرك يرضيه فإني عن شغله مشغول" أيضا هذه يعني + +165 +00:19:01,690 --> 00:19:08,940 +مبالغات وقع فيها الشعر العباسي وطبعا ابن الجاهل + +166 +00:19:08,940 --> 00:19:16,180 +هنا يقول "أنت الميثاق الذي أخذه الله" والله سبحانه + +167 +00:19:16,180 --> 00:19:20,540 +وتعالى الذي أخذه ليس هذا الميثاق وإنما الميثاق + +168 +00:19:20,540 --> 00:19:26,540 +الذي يعبدون فيه الله سبحانه وتعالى في قوله "وإذ أخذ + +169 + +201 +00:22:32,260 --> 00:22:38,840 +الإنسان في الحياة فالبكاء على الأطلال لا يزال + +202 +00:22:38,840 --> 00:22:47,140 +يتردد في أشعارهم لكنه ليس كوقوف الشاعر الجاهلي + +203 +00:22:47,140 --> 00:22:52,300 +فقد كان الشاعر الجاهلي يلزم صاحبه + +204 +00:22:54,250 --> 00:22:58,730 +بالوقوف على الأطلال في قول مائي القيس قفى نبكي من + +205 +00:22:58,730 --> 00:23:04,870 +ذكرا حبيب ومنزلي حبيب ومنزلي سقطت اللغة بين الدخول + +206 +00:23:04,870 --> 00:23:16,360 +فحوملي أما الشاعر العباسي فكان يتلطف ويتردد في الدعوة + +207 +00:23:16,360 --> 00:23:24,060 +للبكاء على الأطلال أو على رحيل المحبوبة فقال مسلم + +208 +00:23:24,060 --> 00:23:31,120 +ابن وليد صريع الغواني هلّا بكيت ضياعنا وحملا + +209 +00:23:31,120 --> 00:23:40,020 +وحملا ترك الفؤاد فراقهم مقبولة هلّا بكيت ضياعنا + +210 +00:23:40,020 --> 00:23:46,540 +وحمولة ترك الفؤاد فراقهم مقبولة فإذا زجرَت القلب + +211 +00:23:46,540 --> 00:23:54,540 +زاد وجده وإذا حبست الدمعة زاد همه وإذا كتمت جو + +212 +00:23:54,540 --> 00:23:59,840 +الهأس بعث الهوى نفسا يكون على الضمير دليلا واها + +213 +00:23:59,840 --> 00:24:06,320 +لأيام الصبا وذِنانِه لو كان أمتع بالمقام قليلا هنا + +214 +00:24:06,320 --> 00:24:14,240 +قال هل للتحطيب والتلطف والترقق ولم يقف كما قال + +215 +00:24:14,240 --> 00:24:20,740 +الشاعر الجاهلي أيضا لم يقف الشاعر العباسي عند مكان + +216 +00:24:20,740 --> 00:24:26,140 +الأطلال فقط بل وقف أمام القصور الحاضرة المأهولة + +217 +00:24:27,970 --> 00:24:31,430 +والحالتان وإن اختلفتا في المعنى يعني حالة البكاء + +218 +00:24:31,430 --> 00:24:35,630 +على الأطلال أو حالة البكاء عند القصور الحاضرة + +219 +00:24:35,630 --> 00:24:43,110 +الحالتان مختلفتان لكن المعنى واحد وهو التعبير عن + +220 +00:24:43,110 --> 00:24:49,580 +الحرمان فهو محروم عند البكاء على الأطلال لأن + +221 +00:24:49,580 --> 00:24:56,580 +المحبوبة قد غادرت المكان فكان هناك بعد زماني + +222 +00:24:56,580 --> 00:25:03,400 +ومكاني أما هنا في البكاء عند القصور الحاضر + +223 +00:25:03,400 --> 00:25:08,300 +المأهولة فالمحبوبة موجودة لم تغادر المكان ولكن + +224 +00:25:08,300 --> 00:25:11,660 +الشاعر لا يستطيع أن يصل إليها + +225 +00:25:13,870 --> 00:25:20,410 +فهو بعد مكاني يمنع المكان من الالتقاء بالمحبوبة + +226 +00:25:20,410 --> 00:25:28,130 +فقال أشجع السلمي قصر عليه تحية وسلام نشرت عليه + +227 +00:25:28,130 --> 00:25:34,410 +جمالها الأيام كذلك وجدنا الشاعر العباسي يستبقي + +228 +00:25:34,410 --> 00:25:43,440 +الأطلال كما ذكرنا يستبقي أيضا وصف الرحلة رحلة + +229 +00:25:43,440 --> 00:25:50,370 +الصحراء بما فيها من مخاوف وأهوال ومصائب ولكنه يعمق + +230 +00:25:50,370 --> 00:25:57,450 +المعنى الإنساني يؤنس المكان فقال مسلم ابن وليد + +231 +00:25:57,450 --> 00:26:03,350 +ومجهل كاضطراد السيف محتجز عن الأدلاء مسجور + +232 +00:26:03,350 --> 00:26:09,370 +الصياخين تمشي الرياح به حسرة مولهة حيرة تلوث + +233 +00:26:09,370 --> 00:26:16,810 +بأطراف الجلامين فهذا هي الطريقة في الصحراء ومجهل + +234 +00:26:16,810 --> 00:26:23,830 +وطبعا ايه فقام الوصف مقام الاسم تعميقا للحالة + +235 +00:26:23,830 --> 00:26:34,170 +الحالة الجهل وعدم الهداية وصعوبة السير في الصحراء + +236 +00:26:34,170 --> 00:26:40,270 +ومجهل كاضطراد السيف كحد السيف محتجز عن الأدلاء + +237 +00:26:40,270 --> 00:26:46,050 +دليل الذي يقود الرحلة مسجور الصياخين يعني + +238 +00:26:46,050 --> 00:26:57,310 +ملتهب كالمواقد صياخين جمع صخوة وهو الموقد وهنا + +239 +00:26:57,310 --> 00:27:03,810 +طبعا تظهر الأنثنة تمشي الرياح به حسرة مولهة حيرة + +240 +00:27:03,810 --> 00:27:09,190 +هذه كلها معاني إنسانية يعني خلعها عليه الرياح أنثنة + +241 +00:27:09,190 --> 00:27:18,700 +الرياح أيضا من الأنثنة أيضا قول بشار في وصف الأتن + +242 +00:27:18,700 --> 00:27:24,920 +الوحشية وهي من مفردات الصحراء فقال غدت عانة تشكو + +243 +00:27:24,920 --> 00:27:31,860 +بأبصارها الصدى إلى الجأب إلا أنها لا تخاطبه ومعنى + +244 +00:27:31,860 --> 00:27:36,340 +عانة اللي هي القطيع من الأتن الوحشية تشكو بأبصارها + +245 +00:27:36,340 --> 00:27:42,840 +طبعا الشكوى بالبصر من أهم وأصدق معاني الشكوى + +246 +00:27:42,840 --> 00:27:48,780 +لماذا؟ لأنه عبر عن تجربة العطش بجزء من التجربة + +247 +00:27:48,780 --> 00:27:55,170 +لأن الإبل هي الأتن الوحشية إذا أصابها عطش يظهر ذلك + +248 +00:27:55,170 --> 00:28:04,030 +في بصرها فقال تشكو بأبصارها الصدى لماذا الشك بالبصر + +249 +00:28:04,030 --> 00:28:09,650 +أعمق في الدلالة لأنه يعبر عن التجربة بجزء من + +250 +00:28:09,650 --> 00:28:16,630 +التجربة الجأب هو قائد القطيع إلا أنها لا تخاطب ولا + +251 +00:28:16,630 --> 00:28:22,690 +تستعمل اللغة إذا تعميق المعنى الإنساني ظاهر في هذه + +252 +00:28:22,690 --> 00:28:32,170 +الصورة وهذا هو منحى العباسي في التجديد في مقدمة + +253 +00:28:32,170 --> 00:28:36,050 +القصيدة وللحديث بقية وصلى الله عليه وعلى نبينا + +254 +00:28:36,050 --> 00:28:40,030 +محمد وعلى آله وصحبه وسلم تسليما كثيرا diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..814063e75ee88d2e64c62d2d467b9e109b46d8a5 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI_postprocess.srt @@ -0,0 +1,1016 @@ +1 +00:00:04,890 --> 00:00:09,070 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:09,070 --> 00:00:14,690 +وعلى آله وصحبه وأسلم تسليما كثيرا وبعد نتناول في + +3 +00:00:14,690 --> 00:00:20,010 +هذه المحاضرة الموضوعات أو التجديد في الموضوعات + +4 +00:00:20,010 --> 00:00:26,790 +القديمة وكلمة تجديد تعني إضافة عناصر جديدة إلى ما + +5 +00:00:26,790 --> 00:00:33,310 +هو قديم يكون هذا القديم صالحا للجديدأو للعصر + +6 +00:00:33,310 --> 00:00:39,350 +الجديد من أهم هذه الموضوعات في الشعر القديم هو + +7 +00:00:39,350 --> 00:00:45,010 +قصيدة المدح وكانت قصيدة المدح تمثل المنظومة + +8 +00:00:45,010 --> 00:00:51,370 +الأخلاقية العربية ولذلك حظيت باهتمام كبير اهتمام + +9 +00:00:51,370 --> 00:00:54,150 +الشعراء + +10 +00:00:55,280 --> 00:00:59,720 +والعرب بقصيدة المدح لأنها كانت تحوي المنظومة + +11 +00:00:59,720 --> 00:01:06,140 +الأخلاقية العربية إذا كان الممدوحيمتدح بأنه يحافظ + +12 +00:01:06,140 --> 00:01:10,880 +على هذه المنظومة أو أن هذه المنظومة قد تمثلت في + +13 +00:01:10,880 --> 00:01:21,420 +هذا الممدوح أجمل تمثل كانت المدحة أو قصد المدح + +14 +00:01:21,420 --> 00:01:29,380 +تبعش في المتلقي والمجتمع العربي أجمل المعاني وأنبل + +15 +00:01:29,380 --> 00:01:34,790 +الأخلاقالجديد أو العناوط الجديدة التي أضيفت إلى + +16 +00:01:34,790 --> 00:01:43,580 +هذه القصيدة هو أن معاني المدعي تلائم المبدوعةلمعنى + +17 +00:01:43,580 --> 00:01:50,120 +آخر أن الشاعر عباسي لأم بين الممدوح ومعاني المدح + +18 +00:01:50,120 --> 00:01:56,760 +فإذا كان الممدوح خليفة مدح بالتقوى ومدح بالعفة + +19 +00:01:56,760 --> 00:02:03,080 +والحياء والعدل وأنه يحافظ على السنة ويقمع البدعة + +20 +00:02:03,080 --> 00:02:09,790 +كما قال مروان ابن أبي حفصة يمدح المهديأحيى أمير + +21 +00:02:09,790 --> 00:02:16,890 +المؤمنين محمد صنن النبي حرامها وحلالها ويقول + +22 +00:02:16,890 --> 00:02:24,410 +الحسين ابن ابن مطير الأسدي يعفو ويستحي إذا كان + +23 +00:02:24,410 --> 00:02:34,100 +خاليا كما عفو واستحيا بحيث رقيبهبمعنى أنه عفيف + +24 +00:02:34,100 --> 00:02:41,620 +وحيي في حياته السر والعلن يعني صادق في عفته وصادق + +25 +00:02:41,620 --> 00:02:49,960 +في حياءه فهو يطابق بين السر والعلن أما أبو العتاهة + +26 +00:02:49,960 --> 00:02:57,260 +فقد وظف معاني الذهدي فيتعميق معاني المدح فقال قال + +27 +00:02:57,260 --> 00:03:07,140 +في مدحي الرشيد فراعن يراعي الله في حفظ أمة يدافع + +28 +00:03:07,140 --> 00:03:14,000 +عنها الشر غير رقوديتجافى عن الدنيا وأيقن أنها + +29 +00:03:14,000 --> 00:03:20,880 +مفارقة ليست بدار خلوده فنلاحظ في البيت الأول أن + +30 +00:03:20,880 --> 00:03:29,400 +الخليفة يراعي الله سبحانه وتعالى في المحافظة على + +31 +00:03:29,400 --> 00:03:36,110 +ثوابة الأمة وعلى مكتسباتهاوأنه يدافع عن كرامتها + +32 +00:03:36,110 --> 00:03:43,050 +ويدفع عنها الشر بإرادة صادقة غير متقاعسة في البيت + +33 +00:03:43,050 --> 00:03:47,370 +الثاني نجد معاني الزهد تجافى عن الدنيا هنا توظيف + +34 +00:03:47,370 --> 00:03:55,270 +لمعنى الزهد فالزهد يقوم على تهريب حب الإنسان في + +35 +00:03:55,270 --> 00:04:02,270 +البقاء وتهريب الإنسان في حب التملك + +36 +00:04:04,510 --> 00:04:10,370 +وأهم شيء في الذهد هو أن يبتعد الإنسان عن ملذات + +37 +00:04:10,370 --> 00:04:18,070 +الدنيا وعن اليقين بالبقاء فيها كما قال صلى الله + +38 +00:04:18,070 --> 00:04:23,750 +عليه وسلم اذهد في الدنيا يحبك الله واذهد في مهيد + +39 +00:04:23,750 --> 00:04:28,810 +الناس يحبك الناس تجافى عن الدنيا وأيقن أنها مفارقة + +40 +00:04:28,810 --> 00:04:35,580 +ليست بدارى خلودىفهنا تحطيم أو تهذيب للرغبة + +41 +00:04:35,580 --> 00:04:41,400 +الإنسانية في حب التملك وحب البقاءلا شك أن أبو + +42 +00:04:41,400 --> 00:04:44,820 +العتاهي وانطلاقا من ثقافته الذهبية كان يود أن تكون + +43 +00:04:44,820 --> 00:04:49,780 +هذه المعاني في شخصية الرشيد وطبعا هذه يقودنا إلى + +44 +00:04:49,780 --> 00:04:54,600 +القول لأن هذه المعاني الموجودة في قصيدة المدح في + +45 +00:04:54,600 --> 00:05:00,180 +قصيدة المدح إما أن تكون صفات في الممدوح حقيقة أو + +46 +00:05:00,180 --> 00:05:10,600 +مطالب يود الشاعر أن تكون في الممدوح قال النمرييمدح + +47 +00:05:10,600 --> 00:05:16,400 +حرون رشيد بورك حرون من إمام بطاعة الله ذات الصامي + +48 +00:05:16,400 --> 00:05:24,680 +له إلى ذي الجلال قربه ليست لعدل ولا لإمامي أي أن + +49 +00:05:24,680 --> 00:05:30,180 +الممدوح وهو الخليفة العباسي له علاقة وصلة بالله + +50 +00:05:30,180 --> 00:05:35,180 +سبحانه وتعالى ليست لمثيل له ولا لإمام قبله + +51 +00:05:37,450 --> 00:05:42,590 +فهذه المعاني كما نرا تلائم الممدوح إذا كان خليفة + +52 +00:05:42,590 --> 00:05:49,690 +أما إذا كان قائدا لجيش فإنه يمدح بالشجاعة والبطولة + +53 +00:05:50,810 --> 00:05:56,010 +وقد رسم و أبلع شعراء في هذه الفترة في مدائع + +54 +00:05:56,010 --> 00:06:04,170 +البطولة والشجاعة ورسموا أجمل صور للبطل على نحو ما + +55 +00:06:04,170 --> 00:06:14,190 +نرى عند أبي تمام أيضا نجد أشجع السلمي مشيد بيه + +56 +00:06:14,190 --> 00:06:21,000 +الرشيد حين فتح هراقلى في آسيا الصغرىأما إذا كان + +57 +00:06:21,000 --> 00:06:26,140 +قائدا لجيش فإننا نجد أن الشعراء يمدحون هذا القائد + +58 +00:06:26,140 --> 00:06:33,940 +بالشجاعة والبطولة ونجد أن الشعراء يتبارون في رسم + +59 +00:06:33,940 --> 00:06:40,790 +أجمل الصور لهذا البطلوأجمل المعاني لمفهوم البطولة + +60 +00:06:40,790 --> 00:06:47,750 +فمثلا نجد أشجع السلمي يشيد ببطولة الرشيد حين فتح + +61 +00:06:47,750 --> 00:06:52,710 +هراقله في أفس السورة وانتصاره على جيش نقفور + +62 +00:06:52,710 --> 00:06:56,010 +امبراطور + +63 +00:06:56,010 --> 00:07:02,590 +بيزانتاوهناك مقولة مشهورة في التاريخ من هارون + +64 +00:07:02,590 --> 00:07:09,690 +الرشيد إلى نقفور كلب الروم الجواب كما ترى الله كما + +65 +00:07:09,690 --> 00:07:18,150 +تسمع فقال أشجع السلمي نشيد ببطولة الرشيد وليهنك + +66 +00:07:18,150 --> 00:07:23,710 +الفتح والأيام مقبلة إليك بالنصر معقودة نواصيها + +67 +00:07:23,710 --> 00:07:29,680 +أمسى ترقلة تهوي من جوانبهاوناصر الله والإسلام + +68 +00:07:29,680 --> 00:07:36,880 +يرميها ملكتها وقتلت الناكثين بها بنصر من يملك + +69 +00:07:36,880 --> 00:07:42,880 +الدنيا وما فيها ما روعي الدين والدنيا على قدم بمثل + +70 +00:07:42,880 --> 00:07:50,580 +هارونا راعيه وراعيها هنا طبعا نرى صورة البطل قد + +71 +00:07:50,580 --> 00:07:57,320 +تجلت في هذه الأبيات وأيضا معاني الشجاعةمن حيث + +72 +00:07:57,320 --> 00:08:07,980 +الإقدام ومن حيث الحاق الأذى بهؤلاء المتملدين أيضًا + +73 +00:08:07,980 --> 00:08:15,460 +من أجمل القصائد التي ذُكرت في صور البطل ومعاني + +74 +00:08:15,460 --> 00:08:20,900 +البطولة قصائد أبي تمام في مدحي المعتصم حين فتح + +75 +00:08:20,900 --> 00:08:26,710 +عموريةحيث بدت كأنها ملحمة كما سيأتي الحديث عنها + +76 +00:08:26,710 --> 00:08:33,210 +عندما نتناول أبا تمام كعلم من أعلام الشعراء في هذا + +77 +00:08:33,210 --> 00:08:41,030 +العصر أيضا هناك مقطوعة قصيرة لقصيدة طويلة لعلي ابن + +78 +00:08:41,030 --> 00:08:49,920 +جبلةالملقب بالعكوك مدح فيها بطولة أبي دلفن العجلي + +79 +00:08:49,920 --> 00:08:55,820 +قائد المأمون فقال المنايا في مقانبه والعطايا في + +80 +00:08:55,820 --> 00:09:02,960 +ذرى حجره وزحوف في صواهله كصياح الحشر في أمره قته + +81 +00:09:02,960 --> 00:09:09,880 +والموت مقتمن في مذاكيه ومشتجرهفرمت يلوه منه يد + +82 +00:09:09,880 --> 00:09:17,160 +طوّت المنشورة من بطره طبعا هناك يعني عبارة نقررها + +83 +00:09:17,160 --> 00:09:23,280 +دائما أن البطل يكون بطلا عندما يكون صادقا في + +84 +00:09:23,280 --> 00:09:29,410 +اللقاءوقد عبر الشعراء عن صدق اللقاء وإرادة القتال + +85 +00:09:29,410 --> 00:09:37,390 +بألفاظ كثيرة هنا في هذا البيت عبر عنه عن الإرادة + +86 +00:09:37,390 --> 00:09:44,830 +الصادقة بالخيل فالخيل تعبر عن الإرادة الصادقة لأن + +87 +00:09:44,830 --> 00:09:51,680 +الخيل قبل الإنطلاق تحمحم وتتحركوهذا تعبير عن + +88 +00:09:51,680 --> 00:09:58,820 +إرادتها لانطلاق فإذا انطلقت، انطلقت بقوة وهذا + +89 +00:09:58,820 --> 00:10:06,790 +تعبير عن إرادتها للقتال أو الصباقوالشعر استخدم هنا + +90 +00:10:06,790 --> 00:10:12,170 +الخيل للتعبير عن الإرادة الصادقة عند الممدوح وقال + +91 +00:10:12,170 --> 00:10:19,390 +المنايا في مقانبه مقانب جمع مقنب والمقنب هو جماعة + +92 +00:10:19,390 --> 00:10:26,750 +الخيل مجموعة من الخيول في المعركة حيث تقسم الخيول + +93 +00:10:26,750 --> 00:10:32,250 +إلى مجموعات كل مجموعة يطلق عليها مقنب والجمع مقانب + +94 +00:10:33,980 --> 00:10:41,780 +المعنى الثاني للشطر الثاني هو والعطايا في ذرع حجره + +95 +00:10:41,780 --> 00:10:49,440 +يعني العطايا جمع عطية وهذه الكلمة من أوائل الكلمات + +96 +00:10:49,440 --> 00:10:52,700 +العامية التي فُصحت + +97 +00:10:55,730 --> 00:11:01,150 +والمقصود هنا أن العطاية في ساحة البيت أو في فناء + +98 +00:11:01,150 --> 00:11:07,690 +البيت يعني معدة للإعطاء والمعنى أن الممدوح يعطي + +99 +00:11:07,690 --> 00:11:15,910 +بلا مطلن وهذا من جمال الكرم الكرم الخالص أن يعطيه + +100 +00:11:15,910 --> 00:11:23,510 +بلا مطلنوكما قلنا في الشجاعة، الشجاعة تكون جميلة + +101 +00:11:23,510 --> 00:11:31,310 +إذا كانت نابع من إرادة صادقة وزحوف في صواهره كصياح + +102 +00:11:31,310 --> 00:11:40,160 +الحشر في أمره ومن علامة إرادة صادقةإنه أعدى عُدّة + +103 +00:11:40,160 --> 00:11:49,220 +للقتال وجهز جيشا كثيفا وزحوف في صواهله صواهل جمع + +104 +00:11:49,220 --> 00:11:56,360 +الصاهل وهو الخيل بمعنى أنه أعدى جيشا كبيرا من + +105 +00:11:56,360 --> 00:12:03,210 +الفرسانوطبعا الفرس أو الخيل يعبر عن إرادة القتال + +106 +00:12:03,210 --> 00:12:13,190 +لأن الخيلة تستعمل في الهجوم على الأعداء ومن + +107 +00:12:13,190 --> 00:12:18,390 +علامة أيضا إرادة الصادقة أنها تصحل قبل الإنطلاق + +108 +00:12:18,390 --> 00:12:26,450 +كصياح الحشري في أمره كصياح الناس يوم خوفهم الشديد + +109 +00:12:26,450 --> 00:12:34,680 +يوم القيامة في الشدةيعني شبه صوت الخيول في + +110 +00:12:34,680 --> 00:12:41,700 +الإنطلاق نحو العدو كصياح الناس في الخوف الشديد يوم + +111 +00:12:41,700 --> 00:12:50,510 +الحشر وهذا طبعا تشبيه فيه مبالغةلأن طبعا أعلى صوت + +112 +00:12:50,510 --> 00:12:56,530 +يطلقه الإنسان في لحظة خوفه أما في لحظة غضبه وإن + +113 +00:12:56,530 --> 00:13:03,030 +كان شديدا فهو أقل لذا التشبيه هو إلحاق ناقص في + +114 +00:13:03,030 --> 00:13:09,170 +الصفة بكامل فيها وزحوف في صواهيله كصياح الحشف في + +115 +00:13:09,170 --> 00:13:15,510 +أمره فصاهيل الخيل لحظة الإنطلاق أقل في الصفة من + +116 +00:13:15,510 --> 00:13:21,460 +صياح الناس يومالخوف الشديد يوم الحشر يوم القيامة + +117 +00:13:21,460 --> 00:13:26,000 +قُتّاه والموت مكتمن في مذاكيه والمذاكيه هي أماكن + +118 +00:13:26,000 --> 00:13:35,050 +الذبحوالنحر ويقصد الخيل والقبل فالخيل تذبح والقبل + +119 +00:13:35,050 --> 00:13:42,590 +تنحر ومشتج له مكان الإصابة بالسيوف أو الرماح + +120 +00:13:42,590 --> 00:13:49,210 +فالموت كامل في هذه الأماكن الأماكن الذبحي وأماكن + +121 +00:13:49,210 --> 00:13:56,310 +الجراحفرمت جيلوه منه يد هذا الجيش على كثافته + +122 +00:13:56,310 --> 00:14:05,330 +وإعداده الجيد لم يستعمل منه إلا يد واحدة هذه اليد + +123 +00:14:05,330 --> 00:14:13,280 +أحالت كبرياء جيلوه وهو شخص خرج على الدولةالعباسية + +124 +00:14:13,280 --> 00:14:23,080 +في أذربيجان فكان مصيره أن أحالت هذه الضربة أحالت + +125 +00:14:23,080 --> 00:14:27,820 +كبرياءه وأفعاله + +126 +00:14:27,820 --> 00:14:30,300 +السيء إلى ماضي + +127 +00:14:34,510 --> 00:14:42,450 +أيضًا من المعاني والعناصر الجديدة التي ظهرت في + +128 +00:14:42,450 --> 00:14:48,850 +قصيدة المدح هو إطفاء المعاني الإسلامية على هذه + +129 +00:14:48,850 --> 00:14:55,530 +القيم أو إعطاء هذه القيم معناً إنسانيا، معناً إيه + +130 +00:14:55,530 --> 00:14:56,130 +إسلاميا + +131 +00:14:58,900 --> 00:15:06,540 +مثل قول الشاعر البحثري يمدح المتوكل خلق الله جعفان + +132 +00:15:06,540 --> 00:15:14,580 +قيم الدنيا سدادا و قيم الدين رشدا أظهر العدل + +133 +00:15:14,580 --> 00:15:21,860 +فاستناظر بيه الأرض و عم البلاد غورا و نجداأعطى + +134 +00:15:21,860 --> 00:15:28,920 +معنى ايه دينى وهو ان ان هذا الممدوح يجمع بين بين + +135 +00:15:28,920 --> 00:15:35,840 +خيرية الدنيا والاخرة او الدين والشيء الثاني انه + +136 +00:15:35,840 --> 00:15:41,940 +انه انسان عادل وهذا العادل قد عم البلاد وهنا طبعا + +137 +00:15:41,940 --> 00:15:48,860 +استغراف مكانى غورا ونيدا يعني المرض تفع من الأرضما + +138 +00:15:48,860 --> 00:15:57,700 +خفض من الأرض وما على من الأرض وهو إيه النجد ومن + +139 +00:15:57,700 --> 00:16:03,180 +الظواهر التي ظهرت في قصة المدح في هذا العصر وجدنا + +140 +00:16:03,180 --> 00:16:12,460 +صفة المبالغةتظهر في معاني المدح من هذه الصور الصور + +141 +00:16:12,460 --> 00:16:19,460 +المبالغة صفات التقديس كما قال ابن الجهم يمدح + +142 +00:16:19,460 --> 00:16:25,420 +المتوكل له المنة العظمى على كل مسلموطاعته فرض من + +143 +00:16:25,420 --> 00:16:30,440 +الله منزله فالمعلوم أن المنة هي لله سبحانه وتعالى + +144 +00:16:30,440 --> 00:16:35,800 +لاتمن علي إسلامكم بل الله يمن عليكم أن هداكم + +145 +00:16:35,800 --> 00:16:40,840 +للإسلام فالمنة العظمى هي لله سبحانه وتعالى وطبعا + +146 +00:16:40,840 --> 00:16:48,710 +الشعر هنا استعملها للمبالغةله المنة العظمى على كل + +147 +00:16:48,710 --> 00:16:54,690 +مسلم وطاعته فرض من الله منزله طبعا هذه هي من الصور + +148 +00:16:54,690 --> 00:17:04,910 +المبالغة في صفات الممدوح أن طاعته فرض من الله منزل + +149 +00:17:05,830 --> 00:17:12,390 +ونحن نعلم أنه لا طاعة لمخلوق في معصية الخالق وأن + +150 +00:17:12,390 --> 00:17:15,510 +الطاعة + +151 +00:17:15,510 --> 00:17:21,430 +ليست فرضا فرضها الله سبحانه وتعالى على عباده خاصة + +152 +00:17:21,430 --> 00:17:28,370 +بالمتوكلإذا الـ MDA مبالغة وهذه المبالغة يعني + +153 +00:17:28,370 --> 00:17:34,510 +وجدناها تظهر كظاهرة جديدة في الشعر العباسي وقد + +154 +00:17:34,510 --> 00:17:40,810 +كانت ممقوطة في الشعر الجاهلي إذ كان الجاهليون + +155 +00:17:40,810 --> 00:17:45,170 +يمقوطون الشعراء الذين يأتوا أو يمقوطون أقوال + +156 +00:17:45,170 --> 00:17:53,220 +الشعراء التي فيها مبالغةكقول عمر ابن كثوم حين قال + +157 +00:17:53,220 --> 00:18:02,200 +و لو لاريح أسمع أهل حجر صليل البيض تقرع بالذكور + +158 +00:18:02,200 --> 00:18:09,260 +فقيل هذا أكذب بيت و ذلك لأن العرب في الجاهلية كانت + +159 +00:18:09,260 --> 00:18:11,220 +تكره المبالغة + +160 +00:18:13,220 --> 00:18:19,780 +طبعا المبالغة ظاهرة يعني ملحوظة في أشياء العباسي + +161 +00:18:19,780 --> 00:18:25,960 +ومنها قول ابن الجهم أيضا لبني العباس يا بني هاشمن + +162 +00:18:25,960 --> 00:18:33,100 +ابن عبد منافن نسبة حبها من التوحيد أنتم خير سادة + +163 +00:18:33,100 --> 00:18:39,090 +يا بني العباسي فابقوا ونحن خير عبيديإِن رَضِيتُمْ + +164 +00:18:39,090 --> 00:18:43,450 +أَمْرًا رَضِينَ وإِن تأبَوْ أَبَيْنَ لَكُم إِبَاءُ + +165 +00:18:43,450 --> 00:18:50,350 +الأُسُولِيِّ هنا طبعا في عنده مبالغة وهذه المبالغة + +166 +00:18:50,350 --> 00:18:55,170 +تظهر في هذه العلاقة البعيدة + +167 +00:18:55,170 --> 00:19:01,690 +بين الراعي والرعية أو بين الحاكم والمحكوم هي علاقة + +168 +00:19:01,690 --> 00:19:08,940 +سادة بعبيد وعبيد بسادة طبعا هذه مبالغةلأن في + +169 +00:19:08,940 --> 00:19:16,180 +المفهوم الإسلامي إنما المؤمنون إخوة أيضًا + +170 +00:19:16,180 --> 00:19:20,540 +من المبلغات عند بن الجهم في مدح المتوكل أنت + +171 +00:19:20,540 --> 00:19:26,540 +ميثاقنا الذي أخذ الله علينا وعهده المسئول من يكن + +172 +00:19:26,540 --> 00:19:33,690 +شغله بغيرك يرضيه فإني عن شغله مشغولأيضًا هذه يعني + +173 +00:19:33,690 --> 00:19:39,870 +مبالغات وقع فيها الشعر العباسي وطبعًا الابن الجاهل + +174 +00:19:39,870 --> 00:19:44,930 +هنا يقول أنت الميثاق الذي أخذهه الله والله سبحانه + +175 +00:19:44,930 --> 00:19:50,330 +وتعالى الذي أخذهه ليس هذا الميثاق وإنما الميثاق + +176 +00:19:50,330 --> 00:19:55,610 +الذي يعبدون فيه الله سبحانه وتعالى في قوله وإذ أخذ + +177 +00:19:55,610 --> 00:20:01,650 +الله من بني آدم من ظهورهم ذريتهموأشهدهم على أنفسهم + +178 +00:20:01,650 --> 00:20:06,530 +ألستوا بربكم قالوا بلى شهدنا أن تقولوا يوم القيامة + +179 +00:20:06,530 --> 00:20:12,170 +إنا كنا عن هذا غافلين فالمثاق هو أن يعبدوا الله + +180 +00:20:12,170 --> 00:20:18,890 +سبحانه وتعالى لكن هنا الشاعر يعني بالغ و جعل + +181 +00:20:18,890 --> 00:20:26,620 +المثاق هو مبايع مبايعة الخليفةهذا فيما يتعلق + +182 +00:20:26,620 --> 00:20:33,740 +بالمعنى أو المعاني الشعرية أما بما يتعلق في البناء + +183 +00:20:33,740 --> 00:20:39,020 +الفني فمعلوم أن القصيدة العربية كانت تتكون من + +184 +00:20:39,020 --> 00:20:46,520 +مقدمة والمقدمة يعني من أهم أجزاء القصيدة تطورا + +185 +00:20:46,520 --> 00:20:51,680 +يعني كانت مجالا للتطور والتجديد لأنها ليست جزء + +186 +00:20:51,680 --> 00:20:59,300 +أصيلا في القصيدةفهي تمهيد نفسي يربط بين المتلقي + +187 +00:20:59,300 --> 00:21:10,680 +والمبدع، بين الشاعري والمستمع أو بين الشاعر + +188 +00:21:10,680 --> 00:21:16,510 +والممدوع أو بين الشاعر والموضوعأو هي تمهيد للموضوع + +189 +00:21:16,510 --> 00:21:23,570 +الذي سيأتي فعموما المقدمة ليست جزء من القصيدة + +190 +00:21:23,570 --> 00:21:29,250 +ولذلك وجدنا كثيرا أو بعضا من الشعراء يبدأون + +191 +00:21:29,250 --> 00:21:31,930 +قصائدهم دون مقدمات + +192 +00:21:34,560 --> 00:21:37,660 +وحتى في الجاهلية كان بعض شعارات الجاهلية لم + +193 +00:21:37,660 --> 00:21:43,620 +يلتزموا بها في مطالع قصائدهم لذا كانت المقدمة أكثر + +194 +00:21:43,620 --> 00:21:49,840 +عناصر القصيدة قابولا للتطور والتجديد الشاعر + +195 +00:21:49,840 --> 00:21:58,480 +العباسي أبقى على مفرضات المقدمة لكنه أضاف إليها + +196 +00:21:58,480 --> 00:22:05,780 +إضافات تتسع حينا و تضيق حينايودعها من ذخائره + +197 +00:22:05,780 --> 00:22:15,740 +العقلية والخيالية وأهم شيء في ذلك أنه يعمق المعنى + +198 +00:22:15,740 --> 00:22:21,520 +الإنساني في هذه المقدمة فقد استبقى على الأطلال + +199 +00:22:23,060 --> 00:22:27,520 +الوقوف على الأطلال للدلالة على الحب الأصيل والحنين + +200 +00:22:27,520 --> 00:22:32,260 +الصادق واستبقى رحلة الصحراء التعبية عن رحلة + +201 +00:22:32,260 --> 00:22:38,840 +الإنسان في الحياة فالبكاء على الأطلال لا يزال + +202 +00:22:38,840 --> 00:22:47,140 +يترقرق في أشعارهم لكنه ليس كوقوف الشاعر الجاهلي + +203 +00:22:47,140 --> 00:22:52,300 +فقد كان الشاعر الجاهلي يلزم صاحبيه + +204 +00:22:54,250 --> 00:22:58,730 +بالوقوف على الأطلال في قول مائي القيس قفى نبكي من + +205 +00:22:58,730 --> 00:23:04,870 +ذكرا حبيب ومنزلي حبيب ومنزلي سقط اللغة بين الدخول + +206 +00:23:04,870 --> 00:23:16,360 +فحوملي أما الشاعر عباسي فكان يتلطفويترقق في الدعوة + +207 +00:23:16,360 --> 00:23:24,060 +للبكاء على الأطلال أو على رحلة المحبوبة فقال مسلم + +208 +00:23:24,060 --> 00:23:31,120 +ابن وليد صريع الغواني هلّا بكيت ضعائنا وحمولا + +209 +00:23:31,120 --> 00:23:40,020 +وحمولا ترك الفؤادةفراقهم مقبولة هلّا بكيت ضعائنا + +210 +00:23:40,020 --> 00:23:46,540 +وحمولة ترك الفؤاد فراقهم مقبولة فإذا زجرت القلب + +211 +00:23:46,540 --> 00:23:54,540 +زاد وجيبه وإذا حبست الدمعة زاد همولة وإذا كتمت جو + +212 +00:23:54,540 --> 00:23:59,840 +الهأس بعث الهوى نفسا يكون على الضمير دليلة واها + +213 +00:23:59,840 --> 00:24:06,320 +لأيان الصبا وذنانه لو كان أمتع بالمقام قليلاهنا + +214 +00:24:06,320 --> 00:24:14,240 +قال هل للتحطيب والتلطف والترقق ولم يقف كما قال + +215 +00:24:14,240 --> 00:24:20,740 +الشاعر الجاهل أيضا لم يقف الشاعر العباسي عند مكوان + +216 +00:24:20,740 --> 00:24:26,140 +الأطلال فقط بل وقف أمام القصور الحاضرة المأنوثة + +217 +00:24:27,970 --> 00:24:31,430 +والحالتان وان اختلفتان في المعنى يعني حالة البكاء + +218 +00:24:31,430 --> 00:24:35,630 +على الأطلال أو حالة البكاء عند القصور الحاضرة + +219 +00:24:35,630 --> 00:24:43,110 +الحالتان مختلفتان لكن المعنى واحد وهو التعبير عن + +220 +00:24:43,110 --> 00:24:49,580 +الحرمانفهو محروم عند البكاء على الأطلال لأن + +221 +00:24:49,580 --> 00:24:56,580 +المحبوبة قد غادرت المكان فكان هناك بعد زماني + +222 +00:24:56,580 --> 00:25:03,400 +ومكاني أما هنا في البكاء عند القصور الحاضر + +223 +00:25:03,400 --> 00:25:08,300 +المأنوثة فالمحبوبة موجودة لم تغادر المكان ولكن + +224 +00:25:08,300 --> 00:25:11,660 +الشاعر لا يستطيع أن يصل إليها + +225 +00:25:13,870 --> 00:25:20,410 +فهو بعد مكاني يمنع المكان من الاتقاء بالمحبوبة + +226 +00:25:20,410 --> 00:25:28,130 +فقال أشجع السلمي قصر عليه تحية وسلام نشرت عليه + +227 +00:25:28,130 --> 00:25:34,410 +جمالها الأيام كذلك وجدنا الشاعر عباسي يستبقي + +228 +00:25:34,410 --> 00:25:43,440 +الأطلال كما ذكرنايستبقى أيضًا وصف الرحلة رحلة + +229 +00:25:43,440 --> 00:25:50,370 +الصحراءبما فيها منحوش وأهوال ومصائب ولكنه يعمق + +230 +00:25:50,370 --> 00:25:57,450 +المعنى الإنساني يؤنس المكان فقال مسلم ابن وليد + +231 +00:25:57,450 --> 00:26:03,350 +ومجهل كاضطراد السيف محتجز عن الأدلاء مسجور + +232 +00:26:03,350 --> 00:26:09,370 +الصياخين تمشي الرياح به حصرة مولهة حيرة تلوث + +233 +00:26:09,370 --> 00:26:16,810 +بأطراف الجلامينفهذا هي الطريقة في الصحراء ومجهل + +234 +00:26:16,810 --> 00:26:23,830 +وطبعا ايه فقام الوصف مقام الإسم تعميقا للحالة + +235 +00:26:23,830 --> 00:26:34,170 +الحالة الجهل وعدم الاحتداء وصعوبة السير في الصحراء + +236 +00:26:34,170 --> 00:26:40,270 +ومجهل كاضطراد السيف كحد السيف محتجز عن الأدلاء + +237 +00:26:40,270 --> 00:26:46,050 +جامع دليلالذي يقود الرحلة مسجور الصياخيني يعني + +238 +00:26:46,050 --> 00:26:57,310 +ملتهب كالمواقد صياخين جمعي صيخود وهو الموقد وهنا + +239 +00:26:57,310 --> 00:27:03,810 +طبعا تظهر الأنثنة تمشي الرياح بيه حسرة مولهة حيرة + +240 +00:27:03,810 --> 00:27:09,190 +هذه كل معاني إنسانية يعني خلعها عليه الرياح أنثنة + +241 +00:27:09,190 --> 00:27:18,700 +الرياحأيضًا من الأنثنة أيضًا قول بشار في وصف الأتن + +242 +00:27:18,700 --> 00:27:24,920 +الوحشية وهي من المفروضات الصحراء فقال غدت عانة تشك + +243 +00:27:24,920 --> 00:27:31,860 +بأبصارها الصدا إلى الجأب إلا أنها لا تخاطبه ومعنى + +244 +00:27:31,860 --> 00:27:36,340 +عانة اللي هي القطيع من الأتن الوحشيةتشكوا بأبصارها + +245 +00:27:36,340 --> 00:27:42,840 +طبعا الشكوى بالبصر من أهم وأصدق معاني الشكوى + +246 +00:27:42,840 --> 00:27:48,780 +لماذا؟ لأنه عبّر عن تجربة العطش بجزء من التجربة + +247 +00:27:48,780 --> 00:27:55,170 +لأن القبل هو الاطنالوحشية إذا أصابها عطش يظهر ذلك + +248 +00:27:55,170 --> 00:28:04,030 +في بصرها فقال تشك بأبصارها الصدا لماذا الشك بالبصر + +249 +00:28:04,030 --> 00:28:09,650 +أعمق في الدلالة لأنه يعبر عن التجربة بجزء من + +250 +00:28:09,650 --> 00:28:16,630 +التجربةالجأب هو قائد القطيع إلا أنها لا تخاطب ولا + +251 +00:28:16,630 --> 00:28:22,690 +تستعمل اللغة إذا تعميق المعنى الإنساني ظاهر في هذه + +252 +00:28:22,690 --> 00:28:32,170 +الصورة وهذا هو المنح العباسي في التجديد في مقدمة + +253 +00:28:32,170 --> 00:28:36,050 +القصيدة وللحديث بقية وصلى الله عليه وعلي نبينا + +254 +00:28:36,050 --> 00:28:40,030 +محمد وعلى آله وصحبه وسلم تسليم كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI_raw.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..814063e75ee88d2e64c62d2d467b9e109b46d8a5 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/NzfyIgoOlVI_raw.srt @@ -0,0 +1,1016 @@ +1 +00:00:04,890 --> 00:00:09,070 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:09,070 --> 00:00:14,690 +وعلى آله وصحبه وأسلم تسليما كثيرا وبعد نتناول في + +3 +00:00:14,690 --> 00:00:20,010 +هذه المحاضرة الموضوعات أو التجديد في الموضوعات + +4 +00:00:20,010 --> 00:00:26,790 +القديمة وكلمة تجديد تعني إضافة عناصر جديدة إلى ما + +5 +00:00:26,790 --> 00:00:33,310 +هو قديم يكون هذا القديم صالحا للجديدأو للعصر + +6 +00:00:33,310 --> 00:00:39,350 +الجديد من أهم هذه الموضوعات في الشعر القديم هو + +7 +00:00:39,350 --> 00:00:45,010 +قصيدة المدح وكانت قصيدة المدح تمثل المنظومة + +8 +00:00:45,010 --> 00:00:51,370 +الأخلاقية العربية ولذلك حظيت باهتمام كبير اهتمام + +9 +00:00:51,370 --> 00:00:54,150 +الشعراء + +10 +00:00:55,280 --> 00:00:59,720 +والعرب بقصيدة المدح لأنها كانت تحوي المنظومة + +11 +00:00:59,720 --> 00:01:06,140 +الأخلاقية العربية إذا كان الممدوحيمتدح بأنه يحافظ + +12 +00:01:06,140 --> 00:01:10,880 +على هذه المنظومة أو أن هذه المنظومة قد تمثلت في + +13 +00:01:10,880 --> 00:01:21,420 +هذا الممدوح أجمل تمثل كانت المدحة أو قصد المدح + +14 +00:01:21,420 --> 00:01:29,380 +تبعش في المتلقي والمجتمع العربي أجمل المعاني وأنبل + +15 +00:01:29,380 --> 00:01:34,790 +الأخلاقالجديد أو العناوط الجديدة التي أضيفت إلى + +16 +00:01:34,790 --> 00:01:43,580 +هذه القصيدة هو أن معاني المدعي تلائم المبدوعةلمعنى + +17 +00:01:43,580 --> 00:01:50,120 +آخر أن الشاعر عباسي لأم بين الممدوح ومعاني المدح + +18 +00:01:50,120 --> 00:01:56,760 +فإذا كان الممدوح خليفة مدح بالتقوى ومدح بالعفة + +19 +00:01:56,760 --> 00:02:03,080 +والحياء والعدل وأنه يحافظ على السنة ويقمع البدعة + +20 +00:02:03,080 --> 00:02:09,790 +كما قال مروان ابن أبي حفصة يمدح المهديأحيى أمير + +21 +00:02:09,790 --> 00:02:16,890 +المؤمنين محمد صنن النبي حرامها وحلالها ويقول + +22 +00:02:16,890 --> 00:02:24,410 +الحسين ابن ابن مطير الأسدي يعفو ويستحي إذا كان + +23 +00:02:24,410 --> 00:02:34,100 +خاليا كما عفو واستحيا بحيث رقيبهبمعنى أنه عفيف + +24 +00:02:34,100 --> 00:02:41,620 +وحيي في حياته السر والعلن يعني صادق في عفته وصادق + +25 +00:02:41,620 --> 00:02:49,960 +في حياءه فهو يطابق بين السر والعلن أما أبو العتاهة + +26 +00:02:49,960 --> 00:02:57,260 +فقد وظف معاني الذهدي فيتعميق معاني المدح فقال قال + +27 +00:02:57,260 --> 00:03:07,140 +في مدحي الرشيد فراعن يراعي الله في حفظ أمة يدافع + +28 +00:03:07,140 --> 00:03:14,000 +عنها الشر غير رقوديتجافى عن الدنيا وأيقن أنها + +29 +00:03:14,000 --> 00:03:20,880 +مفارقة ليست بدار خلوده فنلاحظ في البيت الأول أن + +30 +00:03:20,880 --> 00:03:29,400 +الخليفة يراعي الله سبحانه وتعالى في المحافظة على + +31 +00:03:29,400 --> 00:03:36,110 +ثوابة الأمة وعلى مكتسباتهاوأنه يدافع عن كرامتها + +32 +00:03:36,110 --> 00:03:43,050 +ويدفع عنها الشر بإرادة صادقة غير متقاعسة في البيت + +33 +00:03:43,050 --> 00:03:47,370 +الثاني نجد معاني الزهد تجافى عن الدنيا هنا توظيف + +34 +00:03:47,370 --> 00:03:55,270 +لمعنى الزهد فالزهد يقوم على تهريب حب الإنسان في + +35 +00:03:55,270 --> 00:04:02,270 +البقاء وتهريب الإنسان في حب التملك + +36 +00:04:04,510 --> 00:04:10,370 +وأهم شيء في الذهد هو أن يبتعد الإنسان عن ملذات + +37 +00:04:10,370 --> 00:04:18,070 +الدنيا وعن اليقين بالبقاء فيها كما قال صلى الله + +38 +00:04:18,070 --> 00:04:23,750 +عليه وسلم اذهد في الدنيا يحبك الله واذهد في مهيد + +39 +00:04:23,750 --> 00:04:28,810 +الناس يحبك الناس تجافى عن الدنيا وأيقن أنها مفارقة + +40 +00:04:28,810 --> 00:04:35,580 +ليست بدارى خلودىفهنا تحطيم أو تهذيب للرغبة + +41 +00:04:35,580 --> 00:04:41,400 +الإنسانية في حب التملك وحب البقاءلا شك أن أبو + +42 +00:04:41,400 --> 00:04:44,820 +العتاهي وانطلاقا من ثقافته الذهبية كان يود أن تكون + +43 +00:04:44,820 --> 00:04:49,780 +هذه المعاني في شخصية الرشيد وطبعا هذه يقودنا إلى + +44 +00:04:49,780 --> 00:04:54,600 +القول لأن هذه المعاني الموجودة في قصيدة المدح في + +45 +00:04:54,600 --> 00:05:00,180 +قصيدة المدح إما أن تكون صفات في الممدوح حقيقة أو + +46 +00:05:00,180 --> 00:05:10,600 +مطالب يود الشاعر أن تكون في الممدوح قال النمرييمدح + +47 +00:05:10,600 --> 00:05:16,400 +حرون رشيد بورك حرون من إمام بطاعة الله ذات الصامي + +48 +00:05:16,400 --> 00:05:24,680 +له إلى ذي الجلال قربه ليست لعدل ولا لإمامي أي أن + +49 +00:05:24,680 --> 00:05:30,180 +الممدوح وهو الخليفة العباسي له علاقة وصلة بالله + +50 +00:05:30,180 --> 00:05:35,180 +سبحانه وتعالى ليست لمثيل له ولا لإمام قبله + +51 +00:05:37,450 --> 00:05:42,590 +فهذه المعاني كما نرا تلائم الممدوح إذا كان خليفة + +52 +00:05:42,590 --> 00:05:49,690 +أما إذا كان قائدا لجيش فإنه يمدح بالشجاعة والبطولة + +53 +00:05:50,810 --> 00:05:56,010 +وقد رسم و أبلع شعراء في هذه الفترة في مدائع + +54 +00:05:56,010 --> 00:06:04,170 +البطولة والشجاعة ورسموا أجمل صور للبطل على نحو ما + +55 +00:06:04,170 --> 00:06:14,190 +نرى عند أبي تمام أيضا نجد أشجع السلمي مشيد بيه + +56 +00:06:14,190 --> 00:06:21,000 +الرشيد حين فتح هراقلى في آسيا الصغرىأما إذا كان + +57 +00:06:21,000 --> 00:06:26,140 +قائدا لجيش فإننا نجد أن الشعراء يمدحون هذا القائد + +58 +00:06:26,140 --> 00:06:33,940 +بالشجاعة والبطولة ونجد أن الشعراء يتبارون في رسم + +59 +00:06:33,940 --> 00:06:40,790 +أجمل الصور لهذا البطلوأجمل المعاني لمفهوم البطولة + +60 +00:06:40,790 --> 00:06:47,750 +فمثلا نجد أشجع السلمي يشيد ببطولة الرشيد حين فتح + +61 +00:06:47,750 --> 00:06:52,710 +هراقله في أفس السورة وانتصاره على جيش نقفور + +62 +00:06:52,710 --> 00:06:56,010 +امبراطور + +63 +00:06:56,010 --> 00:07:02,590 +بيزانتاوهناك مقولة مشهورة في التاريخ من هارون + +64 +00:07:02,590 --> 00:07:09,690 +الرشيد إلى نقفور كلب الروم الجواب كما ترى الله كما + +65 +00:07:09,690 --> 00:07:18,150 +تسمع فقال أشجع السلمي نشيد ببطولة الرشيد وليهنك + +66 +00:07:18,150 --> 00:07:23,710 +الفتح والأيام مقبلة إليك بالنصر معقودة نواصيها + +67 +00:07:23,710 --> 00:07:29,680 +أمسى ترقلة تهوي من جوانبهاوناصر الله والإسلام + +68 +00:07:29,680 --> 00:07:36,880 +يرميها ملكتها وقتلت الناكثين بها بنصر من يملك + +69 +00:07:36,880 --> 00:07:42,880 +الدنيا وما فيها ما روعي الدين والدنيا على قدم بمثل + +70 +00:07:42,880 --> 00:07:50,580 +هارونا راعيه وراعيها هنا طبعا نرى صورة البطل قد + +71 +00:07:50,580 --> 00:07:57,320 +تجلت في هذه الأبيات وأيضا معاني الشجاعةمن حيث + +72 +00:07:57,320 --> 00:08:07,980 +الإقدام ومن حيث الحاق الأذى بهؤلاء المتملدين أيضًا + +73 +00:08:07,980 --> 00:08:15,460 +من أجمل القصائد التي ذُكرت في صور البطل ومعاني + +74 +00:08:15,460 --> 00:08:20,900 +البطولة قصائد أبي تمام في مدحي المعتصم حين فتح + +75 +00:08:20,900 --> 00:08:26,710 +عموريةحيث بدت كأنها ملحمة كما سيأتي الحديث عنها + +76 +00:08:26,710 --> 00:08:33,210 +عندما نتناول أبا تمام كعلم من أعلام الشعراء في هذا + +77 +00:08:33,210 --> 00:08:41,030 +العصر أيضا هناك مقطوعة قصيرة لقصيدة طويلة لعلي ابن + +78 +00:08:41,030 --> 00:08:49,920 +جبلةالملقب بالعكوك مدح فيها بطولة أبي دلفن العجلي + +79 +00:08:49,920 --> 00:08:55,820 +قائد المأمون فقال المنايا في مقانبه والعطايا في + +80 +00:08:55,820 --> 00:09:02,960 +ذرى حجره وزحوف في صواهله كصياح الحشر في أمره قته + +81 +00:09:02,960 --> 00:09:09,880 +والموت مقتمن في مذاكيه ومشتجرهفرمت يلوه منه يد + +82 +00:09:09,880 --> 00:09:17,160 +طوّت المنشورة من بطره طبعا هناك يعني عبارة نقررها + +83 +00:09:17,160 --> 00:09:23,280 +دائما أن البطل يكون بطلا عندما يكون صادقا في + +84 +00:09:23,280 --> 00:09:29,410 +اللقاءوقد عبر الشعراء عن صدق اللقاء وإرادة القتال + +85 +00:09:29,410 --> 00:09:37,390 +بألفاظ كثيرة هنا في هذا البيت عبر عنه عن الإرادة + +86 +00:09:37,390 --> 00:09:44,830 +الصادقة بالخيل فالخيل تعبر عن الإرادة الصادقة لأن + +87 +00:09:44,830 --> 00:09:51,680 +الخيل قبل الإنطلاق تحمحم وتتحركوهذا تعبير عن + +88 +00:09:51,680 --> 00:09:58,820 +إرادتها لانطلاق فإذا انطلقت، انطلقت بقوة وهذا + +89 +00:09:58,820 --> 00:10:06,790 +تعبير عن إرادتها للقتال أو الصباقوالشعر استخدم هنا + +90 +00:10:06,790 --> 00:10:12,170 +الخيل للتعبير عن الإرادة الصادقة عند الممدوح وقال + +91 +00:10:12,170 --> 00:10:19,390 +المنايا في مقانبه مقانب جمع مقنب والمقنب هو جماعة + +92 +00:10:19,390 --> 00:10:26,750 +الخيل مجموعة من الخيول في المعركة حيث تقسم الخيول + +93 +00:10:26,750 --> 00:10:32,250 +إلى مجموعات كل مجموعة يطلق عليها مقنب والجمع مقانب + +94 +00:10:33,980 --> 00:10:41,780 +المعنى الثاني للشطر الثاني هو والعطايا في ذرع حجره + +95 +00:10:41,780 --> 00:10:49,440 +يعني العطايا جمع عطية وهذه الكلمة من أوائل الكلمات + +96 +00:10:49,440 --> 00:10:52,700 +العامية التي فُصحت + +97 +00:10:55,730 --> 00:11:01,150 +والمقصود هنا أن العطاية في ساحة البيت أو في فناء + +98 +00:11:01,150 --> 00:11:07,690 +البيت يعني معدة للإعطاء والمعنى أن الممدوح يعطي + +99 +00:11:07,690 --> 00:11:15,910 +بلا مطلن وهذا من جمال الكرم الكرم الخالص أن يعطيه + +100 +00:11:15,910 --> 00:11:23,510 +بلا مطلنوكما قلنا في الشجاعة، الشجاعة تكون جميلة + +101 +00:11:23,510 --> 00:11:31,310 +إذا كانت نابع من إرادة صادقة وزحوف في صواهره كصياح + +102 +00:11:31,310 --> 00:11:40,160 +الحشر في أمره ومن علامة إرادة صادقةإنه أعدى عُدّة + +103 +00:11:40,160 --> 00:11:49,220 +للقتال وجهز جيشا كثيفا وزحوف في صواهله صواهل جمع + +104 +00:11:49,220 --> 00:11:56,360 +الصاهل وهو الخيل بمعنى أنه أعدى جيشا كبيرا من + +105 +00:11:56,360 --> 00:12:03,210 +الفرسانوطبعا الفرس أو الخيل يعبر عن إرادة القتال + +106 +00:12:03,210 --> 00:12:13,190 +لأن الخيلة تستعمل في الهجوم على الأعداء ومن + +107 +00:12:13,190 --> 00:12:18,390 +علامة أيضا إرادة الصادقة أنها تصحل قبل الإنطلاق + +108 +00:12:18,390 --> 00:12:26,450 +كصياح الحشري في أمره كصياح الناس يوم خوفهم الشديد + +109 +00:12:26,450 --> 00:12:34,680 +يوم القيامة في الشدةيعني شبه صوت الخيول في + +110 +00:12:34,680 --> 00:12:41,700 +الإنطلاق نحو العدو كصياح الناس في الخوف الشديد يوم + +111 +00:12:41,700 --> 00:12:50,510 +الحشر وهذا طبعا تشبيه فيه مبالغةلأن طبعا أعلى صوت + +112 +00:12:50,510 --> 00:12:56,530 +يطلقه الإنسان في لحظة خوفه أما في لحظة غضبه وإن + +113 +00:12:56,530 --> 00:13:03,030 +كان شديدا فهو أقل لذا التشبيه هو إلحاق ناقص في + +114 +00:13:03,030 --> 00:13:09,170 +الصفة بكامل فيها وزحوف في صواهيله كصياح الحشف في + +115 +00:13:09,170 --> 00:13:15,510 +أمره فصاهيل الخيل لحظة الإنطلاق أقل في الصفة من + +116 +00:13:15,510 --> 00:13:21,460 +صياح الناس يومالخوف الشديد يوم الحشر يوم القيامة + +117 +00:13:21,460 --> 00:13:26,000 +قُتّاه والموت مكتمن في مذاكيه والمذاكيه هي أماكن + +118 +00:13:26,000 --> 00:13:35,050 +الذبحوالنحر ويقصد الخيل والقبل فالخيل تذبح والقبل + +119 +00:13:35,050 --> 00:13:42,590 +تنحر ومشتج له مكان الإصابة بالسيوف أو الرماح + +120 +00:13:42,590 --> 00:13:49,210 +فالموت كامل في هذه الأماكن الأماكن الذبحي وأماكن + +121 +00:13:49,210 --> 00:13:56,310 +الجراحفرمت جيلوه منه يد هذا الجيش على كثافته + +122 +00:13:56,310 --> 00:14:05,330 +وإعداده الجيد لم يستعمل منه إلا يد واحدة هذه اليد + +123 +00:14:05,330 --> 00:14:13,280 +أحالت كبرياء جيلوه وهو شخص خرج على الدولةالعباسية + +124 +00:14:13,280 --> 00:14:23,080 +في أذربيجان فكان مصيره أن أحالت هذه الضربة أحالت + +125 +00:14:23,080 --> 00:14:27,820 +كبرياءه وأفعاله + +126 +00:14:27,820 --> 00:14:30,300 +السيء إلى ماضي + +127 +00:14:34,510 --> 00:14:42,450 +أيضًا من المعاني والعناصر الجديدة التي ظهرت في + +128 +00:14:42,450 --> 00:14:48,850 +قصيدة المدح هو إطفاء المعاني الإسلامية على هذه + +129 +00:14:48,850 --> 00:14:55,530 +القيم أو إعطاء هذه القيم معناً إنسانيا، معناً إيه + +130 +00:14:55,530 --> 00:14:56,130 +إسلاميا + +131 +00:14:58,900 --> 00:15:06,540 +مثل قول الشاعر البحثري يمدح المتوكل خلق الله جعفان + +132 +00:15:06,540 --> 00:15:14,580 +قيم الدنيا سدادا و قيم الدين رشدا أظهر العدل + +133 +00:15:14,580 --> 00:15:21,860 +فاستناظر بيه الأرض و عم البلاد غورا و نجداأعطى + +134 +00:15:21,860 --> 00:15:28,920 +معنى ايه دينى وهو ان ان هذا الممدوح يجمع بين بين + +135 +00:15:28,920 --> 00:15:35,840 +خيرية الدنيا والاخرة او الدين والشيء الثاني انه + +136 +00:15:35,840 --> 00:15:41,940 +انه انسان عادل وهذا العادل قد عم البلاد وهنا طبعا + +137 +00:15:41,940 --> 00:15:48,860 +استغراف مكانى غورا ونيدا يعني المرض تفع من الأرضما + +138 +00:15:48,860 --> 00:15:57,700 +خفض من الأرض وما على من الأرض وهو إيه النجد ومن + +139 +00:15:57,700 --> 00:16:03,180 +الظواهر التي ظهرت في قصة المدح في هذا العصر وجدنا + +140 +00:16:03,180 --> 00:16:12,460 +صفة المبالغةتظهر في معاني المدح من هذه الصور الصور + +141 +00:16:12,460 --> 00:16:19,460 +المبالغة صفات التقديس كما قال ابن الجهم يمدح + +142 +00:16:19,460 --> 00:16:25,420 +المتوكل له المنة العظمى على كل مسلموطاعته فرض من + +143 +00:16:25,420 --> 00:16:30,440 +الله منزله فالمعلوم أن المنة هي لله سبحانه وتعالى + +144 +00:16:30,440 --> 00:16:35,800 +لاتمن علي إسلامكم بل الله يمن عليكم أن هداكم + +145 +00:16:35,800 --> 00:16:40,840 +للإسلام فالمنة العظمى هي لله سبحانه وتعالى وطبعا + +146 +00:16:40,840 --> 00:16:48,710 +الشعر هنا استعملها للمبالغةله المنة العظمى على كل + +147 +00:16:48,710 --> 00:16:54,690 +مسلم وطاعته فرض من الله منزله طبعا هذه هي من الصور + +148 +00:16:54,690 --> 00:17:04,910 +المبالغة في صفات الممدوح أن طاعته فرض من الله منزل + +149 +00:17:05,830 --> 00:17:12,390 +ونحن نعلم أنه لا طاعة لمخلوق في معصية الخالق وأن + +150 +00:17:12,390 --> 00:17:15,510 +الطاعة + +151 +00:17:15,510 --> 00:17:21,430 +ليست فرضا فرضها الله سبحانه وتعالى على عباده خاصة + +152 +00:17:21,430 --> 00:17:28,370 +بالمتوكلإذا الـ MDA مبالغة وهذه المبالغة يعني + +153 +00:17:28,370 --> 00:17:34,510 +وجدناها تظهر كظاهرة جديدة في الشعر العباسي وقد + +154 +00:17:34,510 --> 00:17:40,810 +كانت ممقوطة في الشعر الجاهلي إذ كان الجاهليون + +155 +00:17:40,810 --> 00:17:45,170 +يمقوطون الشعراء الذين يأتوا أو يمقوطون أقوال + +156 +00:17:45,170 --> 00:17:53,220 +الشعراء التي فيها مبالغةكقول عمر ابن كثوم حين قال + +157 +00:17:53,220 --> 00:18:02,200 +و لو لاريح أسمع أهل حجر صليل البيض تقرع بالذكور + +158 +00:18:02,200 --> 00:18:09,260 +فقيل هذا أكذب بيت و ذلك لأن العرب في الجاهلية كانت + +159 +00:18:09,260 --> 00:18:11,220 +تكره المبالغة + +160 +00:18:13,220 --> 00:18:19,780 +طبعا المبالغة ظاهرة يعني ملحوظة في أشياء العباسي + +161 +00:18:19,780 --> 00:18:25,960 +ومنها قول ابن الجهم أيضا لبني العباس يا بني هاشمن + +162 +00:18:25,960 --> 00:18:33,100 +ابن عبد منافن نسبة حبها من التوحيد أنتم خير سادة + +163 +00:18:33,100 --> 00:18:39,090 +يا بني العباسي فابقوا ونحن خير عبيديإِن رَضِيتُمْ + +164 +00:18:39,090 --> 00:18:43,450 +أَمْرًا رَضِينَ وإِن تأبَوْ أَبَيْنَ لَكُم إِبَاءُ + +165 +00:18:43,450 --> 00:18:50,350 +الأُسُولِيِّ هنا طبعا في عنده مبالغة وهذه المبالغة + +166 +00:18:50,350 --> 00:18:55,170 +تظهر في هذه العلاقة البعيدة + +167 +00:18:55,170 --> 00:19:01,690 +بين الراعي والرعية أو بين الحاكم والمحكوم هي علاقة + +168 +00:19:01,690 --> 00:19:08,940 +سادة بعبيد وعبيد بسادة طبعا هذه مبالغةلأن في + +169 +00:19:08,940 --> 00:19:16,180 +المفهوم الإسلامي إنما المؤمنون إخوة أيضًا + +170 +00:19:16,180 --> 00:19:20,540 +من المبلغات عند بن الجهم في مدح المتوكل أنت + +171 +00:19:20,540 --> 00:19:26,540 +ميثاقنا الذي أخذ الله علينا وعهده المسئول من يكن + +172 +00:19:26,540 --> 00:19:33,690 +شغله بغيرك يرضيه فإني عن شغله مشغولأيضًا هذه يعني + +173 +00:19:33,690 --> 00:19:39,870 +مبالغات وقع فيها الشعر العباسي وطبعًا الابن الجاهل + +174 +00:19:39,870 --> 00:19:44,930 +هنا يقول أنت الميثاق الذي أخذهه الله والله سبحانه + +175 +00:19:44,930 --> 00:19:50,330 +وتعالى الذي أخذهه ليس هذا الميثاق وإنما الميثاق + +176 +00:19:50,330 --> 00:19:55,610 +الذي يعبدون فيه الله سبحانه وتعالى في قوله وإذ أخذ + +177 +00:19:55,610 --> 00:20:01,650 +الله من بني آدم من ظهورهم ذريتهموأشهدهم على أنفسهم + +178 +00:20:01,650 --> 00:20:06,530 +ألستوا بربكم قالوا بلى شهدنا أن تقولوا يوم القيامة + +179 +00:20:06,530 --> 00:20:12,170 +إنا كنا عن هذا غافلين فالمثاق هو أن يعبدوا الله + +180 +00:20:12,170 --> 00:20:18,890 +سبحانه وتعالى لكن هنا الشاعر يعني بالغ و جعل + +181 +00:20:18,890 --> 00:20:26,620 +المثاق هو مبايع مبايعة الخليفةهذا فيما يتعلق + +182 +00:20:26,620 --> 00:20:33,740 +بالمعنى أو المعاني الشعرية أما بما يتعلق في البناء + +183 +00:20:33,740 --> 00:20:39,020 +الفني فمعلوم أن القصيدة العربية كانت تتكون من + +184 +00:20:39,020 --> 00:20:46,520 +مقدمة والمقدمة يعني من أهم أجزاء القصيدة تطورا + +185 +00:20:46,520 --> 00:20:51,680 +يعني كانت مجالا للتطور والتجديد لأنها ليست جزء + +186 +00:20:51,680 --> 00:20:59,300 +أصيلا في القصيدةفهي تمهيد نفسي يربط بين المتلقي + +187 +00:20:59,300 --> 00:21:10,680 +والمبدع، بين الشاعري والمستمع أو بين الشاعر + +188 +00:21:10,680 --> 00:21:16,510 +والممدوع أو بين الشاعر والموضوعأو هي تمهيد للموضوع + +189 +00:21:16,510 --> 00:21:23,570 +الذي سيأتي فعموما المقدمة ليست جزء من القصيدة + +190 +00:21:23,570 --> 00:21:29,250 +ولذلك وجدنا كثيرا أو بعضا من الشعراء يبدأون + +191 +00:21:29,250 --> 00:21:31,930 +قصائدهم دون مقدمات + +192 +00:21:34,560 --> 00:21:37,660 +وحتى في الجاهلية كان بعض شعارات الجاهلية لم + +193 +00:21:37,660 --> 00:21:43,620 +يلتزموا بها في مطالع قصائدهم لذا كانت المقدمة أكثر + +194 +00:21:43,620 --> 00:21:49,840 +عناصر القصيدة قابولا للتطور والتجديد الشاعر + +195 +00:21:49,840 --> 00:21:58,480 +العباسي أبقى على مفرضات المقدمة لكنه أضاف إليها + +196 +00:21:58,480 --> 00:22:05,780 +إضافات تتسع حينا و تضيق حينايودعها من ذخائره + +197 +00:22:05,780 --> 00:22:15,740 +العقلية والخيالية وأهم شيء في ذلك أنه يعمق المعنى + +198 +00:22:15,740 --> 00:22:21,520 +الإنساني في هذه المقدمة فقد استبقى على الأطلال + +199 +00:22:23,060 --> 00:22:27,520 +الوقوف على الأطلال للدلالة على الحب الأصيل والحنين + +200 +00:22:27,520 --> 00:22:32,260 +الصادق واستبقى رحلة الصحراء التعبية عن رحلة + +201 +00:22:32,260 --> 00:22:38,840 +الإنسان في الحياة فالبكاء على الأطلال لا يزال + +202 +00:22:38,840 --> 00:22:47,140 +يترقرق في أشعارهم لكنه ليس كوقوف الشاعر الجاهلي + +203 +00:22:47,140 --> 00:22:52,300 +فقد كان الشاعر الجاهلي يلزم صاحبيه + +204 +00:22:54,250 --> 00:22:58,730 +بالوقوف على الأطلال في قول مائي القيس قفى نبكي من + +205 +00:22:58,730 --> 00:23:04,870 +ذكرا حبيب ومنزلي حبيب ومنزلي سقط اللغة بين الدخول + +206 +00:23:04,870 --> 00:23:16,360 +فحوملي أما الشاعر عباسي فكان يتلطفويترقق في الدعوة + +207 +00:23:16,360 --> 00:23:24,060 +للبكاء على الأطلال أو على رحلة المحبوبة فقال مسلم + +208 +00:23:24,060 --> 00:23:31,120 +ابن وليد صريع الغواني هلّا بكيت ضعائنا وحمولا + +209 +00:23:31,120 --> 00:23:40,020 +وحمولا ترك الفؤادةفراقهم مقبولة هلّا بكيت ضعائنا + +210 +00:23:40,020 --> 00:23:46,540 +وحمولة ترك الفؤاد فراقهم مقبولة فإذا زجرت القلب + +211 +00:23:46,540 --> 00:23:54,540 +زاد وجيبه وإذا حبست الدمعة زاد همولة وإذا كتمت جو + +212 +00:23:54,540 --> 00:23:59,840 +الهأس بعث الهوى نفسا يكون على الضمير دليلة واها + +213 +00:23:59,840 --> 00:24:06,320 +لأيان الصبا وذنانه لو كان أمتع بالمقام قليلاهنا + +214 +00:24:06,320 --> 00:24:14,240 +قال هل للتحطيب والتلطف والترقق ولم يقف كما قال + +215 +00:24:14,240 --> 00:24:20,740 +الشاعر الجاهل أيضا لم يقف الشاعر العباسي عند مكوان + +216 +00:24:20,740 --> 00:24:26,140 +الأطلال فقط بل وقف أمام القصور الحاضرة المأنوثة + +217 +00:24:27,970 --> 00:24:31,430 +والحالتان وان اختلفتان في المعنى يعني حالة البكاء + +218 +00:24:31,430 --> 00:24:35,630 +على الأطلال أو حالة البكاء عند القصور الحاضرة + +219 +00:24:35,630 --> 00:24:43,110 +الحالتان مختلفتان لكن المعنى واحد وهو التعبير عن + +220 +00:24:43,110 --> 00:24:49,580 +الحرمانفهو محروم عند البكاء على الأطلال لأن + +221 +00:24:49,580 --> 00:24:56,580 +المحبوبة قد غادرت المكان فكان هناك بعد زماني + +222 +00:24:56,580 --> 00:25:03,400 +ومكاني أما هنا في البكاء عند القصور الحاضر + +223 +00:25:03,400 --> 00:25:08,300 +المأنوثة فالمحبوبة موجودة لم تغادر المكان ولكن + +224 +00:25:08,300 --> 00:25:11,660 +الشاعر لا يستطيع أن يصل إليها + +225 +00:25:13,870 --> 00:25:20,410 +فهو بعد مكاني يمنع المكان من الاتقاء بالمحبوبة + +226 +00:25:20,410 --> 00:25:28,130 +فقال أشجع السلمي قصر عليه تحية وسلام نشرت عليه + +227 +00:25:28,130 --> 00:25:34,410 +جمالها الأيام كذلك وجدنا الشاعر عباسي يستبقي + +228 +00:25:34,410 --> 00:25:43,440 +الأطلال كما ذكرنايستبقى أيضًا وصف الرحلة رحلة + +229 +00:25:43,440 --> 00:25:50,370 +الصحراءبما فيها منحوش وأهوال ومصائب ولكنه يعمق + +230 +00:25:50,370 --> 00:25:57,450 +المعنى الإنساني يؤنس المكان فقال مسلم ابن وليد + +231 +00:25:57,450 --> 00:26:03,350 +ومجهل كاضطراد السيف محتجز عن الأدلاء مسجور + +232 +00:26:03,350 --> 00:26:09,370 +الصياخين تمشي الرياح به حصرة مولهة حيرة تلوث + +233 +00:26:09,370 --> 00:26:16,810 +بأطراف الجلامينفهذا هي الطريقة في الصحراء ومجهل + +234 +00:26:16,810 --> 00:26:23,830 +وطبعا ايه فقام الوصف مقام الإسم تعميقا للحالة + +235 +00:26:23,830 --> 00:26:34,170 +الحالة الجهل وعدم الاحتداء وصعوبة السير في الصحراء + +236 +00:26:34,170 --> 00:26:40,270 +ومجهل كاضطراد السيف كحد السيف محتجز عن الأدلاء + +237 +00:26:40,270 --> 00:26:46,050 +جامع دليلالذي يقود الرحلة مسجور الصياخيني يعني + +238 +00:26:46,050 --> 00:26:57,310 +ملتهب كالمواقد صياخين جمعي صيخود وهو الموقد وهنا + +239 +00:26:57,310 --> 00:27:03,810 +طبعا تظهر الأنثنة تمشي الرياح بيه حسرة مولهة حيرة + +240 +00:27:03,810 --> 00:27:09,190 +هذه كل معاني إنسانية يعني خلعها عليه الرياح أنثنة + +241 +00:27:09,190 --> 00:27:18,700 +الرياحأيضًا من الأنثنة أيضًا قول بشار في وصف الأتن + +242 +00:27:18,700 --> 00:27:24,920 +الوحشية وهي من المفروضات الصحراء فقال غدت عانة تشك + +243 +00:27:24,920 --> 00:27:31,860 +بأبصارها الصدا إلى الجأب إلا أنها لا تخاطبه ومعنى + +244 +00:27:31,860 --> 00:27:36,340 +عانة اللي هي القطيع من الأتن الوحشيةتشكوا بأبصارها + +245 +00:27:36,340 --> 00:27:42,840 +طبعا الشكوى بالبصر من أهم وأصدق معاني الشكوى + +246 +00:27:42,840 --> 00:27:48,780 +لماذا؟ لأنه عبّر عن تجربة العطش بجزء من التجربة + +247 +00:27:48,780 --> 00:27:55,170 +لأن القبل هو الاطنالوحشية إذا أصابها عطش يظهر ذلك + +248 +00:27:55,170 --> 00:28:04,030 +في بصرها فقال تشك بأبصارها الصدا لماذا الشك بالبصر + +249 +00:28:04,030 --> 00:28:09,650 +أعمق في الدلالة لأنه يعبر عن التجربة بجزء من + +250 +00:28:09,650 --> 00:28:16,630 +التجربةالجأب هو قائد القطيع إلا أنها لا تخاطب ولا + +251 +00:28:16,630 --> 00:28:22,690 +تستعمل اللغة إذا تعميق المعنى الإنساني ظاهر في هذه + +252 +00:28:22,690 --> 00:28:32,170 +الصورة وهذا هو المنح العباسي في التجديد في مقدمة + +253 +00:28:32,170 --> 00:28:36,050 +القصيدة وللحديث بقية وصلى الله عليه وعلي نبينا + +254 +00:28:36,050 --> 00:28:40,030 +محمد وعلى آله وصحبه وسلم تسليم كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/SVwP9n8zGEI_raw.json b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/SVwP9n8zGEI_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..49213412b10b94dec6c76d7f73fa6e4476b03759 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/SVwP9n8zGEI_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2551, "start": 4.91, "end": 25.51, "text": "باسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد وعلى آله 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من بعد كأن سطورها مشقو هنا يتحدث عن جمال الهندسة لهذه الرياضي بحيث إنها يعني تبدو كالخطوط المستقيمة التي تقرأ من مسافة بعيدة", "tokens": [6027, 1863, 3794, 9778, 2423, 16572, 46958, 1829, 5551, 2655, 2655, 9122, 2655, 4587, 2288, 10721, 9154, 45030, 3215, 9122, 33456, 8608, 9566, 13063, 11296, 37893, 4587, 2407, 34105, 7251, 2655, 24401, 12984, 18871, 10874, 2304, 6027, 2423, 3224, 41260, 3794, 3660, 46740, 24192, 2423, 16572, 46958, 1829, 4724, 5016, 1829, 12984, 36145, 11296, 37495, 22653, 6055, 44510, 2407, 9122, 6027, 9778, 9566, 2407, 9566, 9673, 14851, 4587, 32640, 3660, 38392, 6055, 4587, 2288, 10721, 9154, 47524, 31845, 3660, 45030, 25708, 3660], "avg_logprob": -0.09930346116244075, "compression_ratio": 1.7088607594936709, "no_speech_prob": 0.70654296875, "words": [{"start": 827.36, "end": 827.9, "word": "النسخ", "probability": 0.86279296875}, {"start": 827.9, "end": 828.54, "word": " الرياضي", "probability": 0.912841796875}, {"start": 828.54, "end": 828.96, "word": " أتت", 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+الزمانوعلم أن ريبه لم يزل يفرق بين الأولاف + +26 +00:03:01,160 --> 00:03:07,420 +والجيران ولا عمري لو ذُقتما ألم الفرقة أبكاكم الذي + +27 +00:03:07,420 --> 00:03:15,260 +أبكان أسعداني وأيقنا أن نحسن سوف يلقاكما فتفترقان + +28 +00:03:15,260 --> 00:03:23,480 +كم رمتني صروف هذه الليالي بفراق الأحباب والخلانإذا + +29 +00:03:23,480 --> 00:03:29,260 +الشاعر وجد في الطبيعة شريكا له ومعادلا موضوعيا + +30 +00:03:29,260 --> 00:03:37,220 +أسعداني يطلب من النخلتين أن تعيناه عيناني يا نخلتي + +31 +00:03:37,220 --> 00:03:43,440 +حلواني وحلوان منطقة في العراق تشتهر بالنخيل + +32 +00:03:44,870 --> 00:03:52,510 +وابكيا لي من ريب هذا الزمان وابكيا لي من ريب هذا + +33 +00:03:52,510 --> 00:03:59,870 +الزمان يطلب من النخلتين أن تبكيا معه ليخفف ذلك من + +34 +00:03:59,870 --> 00:04:06,450 +أحزانه ذلك أن الحزن إذا توزع على أكثر من واحد يخفف + +35 +00:04:06,450 --> 00:04:13,870 +هذا الحزن على الشعر وابكيا لي من ريب هذا الزمان + +36 +00:04:14,930 --> 00:04:21,290 +وأيقن وعلم أن ريبه لم يظل يفرق بين الأولادي + +37 +00:04:21,290 --> 00:04:27,770 +والجيران ذلك أن مصائب الزمن هي التي تفرق بين + +38 +00:04:27,770 --> 00:04:34,350 +الأحبة والجيرانبين الأولافي والجيراني حتى بين + +39 +00:04:34,350 --> 00:04:41,190 +الجيران تفرق أو يفرق الزمن مع أن علاقة الجاري + +40 +00:04:41,190 --> 00:04:48,370 +بجاره علاقة مكانية ثابتة لا تتزحزح إلا أن أحداث + +41 +00:04:48,370 --> 00:04:55,370 +الزمن قد تفرق هذه العلاقات الجغرافيةليست فقط + +42 +00:04:55,370 --> 00:05:01,430 +العلاقات الزمنية بل العلاقات الجغرافية وهذا دليل + +43 +00:05:01,430 --> 00:05:10,670 +على قوة مصائف الزمن في التفريقوالعمري لو ذوقتم ألم + +44 +00:05:10,670 --> 00:05:19,690 +الفرقة أبكاكم الذي أبكاني وهنا يقسم لو أن هتين + +45 +00:05:19,690 --> 00:05:28,490 +النخلتين يعني تبكيان كما يبكي الإنسان لعلم ألم + +46 +00:05:28,490 --> 00:05:37,610 +الفرقة والتغرب أسعداني وأسعداني وأيقن أعينانيوليكن + +47 +00:05:37,610 --> 00:05:46,870 +لديكم يقين بأن ثمة مصيبة ستقع كما وقعت علينا وأيقن + +48 +00:05:46,870 --> 00:05:54,190 +أن نحسن سوف يلقاكما فتفترقان كم رمتني صروف هذه + +49 +00:05:54,190 --> 00:05:59,810 +الليالي بفراق الأحباب والخلانين هناك حالات كثيرة + +50 +00:05:59,810 --> 00:06:09,910 +من أفعال الزمنفقد رماني بصنوف شتة من المصائب التي + +51 +00:06:09,910 --> 00:06:17,650 +فرقت بين الأحبة والخلان الأصدقاء أيضا + +52 +00:06:19,030 --> 00:06:28,230 +من التأملات التي وقف عندها الشهر العباسي الجنب + +53 +00:06:28,230 --> 00:06:33,610 +الديني أو المعنى الديني فقد رأى الشهر العباسي في + +54 +00:06:33,610 --> 00:06:43,650 +الطبيعة معاني دينيةوأهمها عقيدة التوحيد وعظمة الله + +55 +00:06:43,650 --> 00:06:53,160 +سبحانه وتعالى في خلقه فقال أبو نواسوطبعا قد زهد + +56 +00:06:53,160 --> 00:07:01,440 +بعد مجون بعد أن كان ناجنا فقد أنهى حياته بالزهد + +57 +00:07:01,440 --> 00:07:06,400 +والقناعة + +58 +00:07:06,400 --> 00:07:15,160 +والرضا بالقليل والتأمل في الحياة فيقول في وقوفه + +59 +00:07:15,160 --> 00:07:22,100 +التأملي اتجاه الطبيعةتأمل في رياض الأرض وانظر إلى + +60 +00:07:22,100 --> 00:07:29,760 +آثار ما صنع المليك عيون ملجين شاخصات بأحداق هي + +61 +00:07:29,760 --> 00:07:36,020 +الذهب السبيك على قطب الزبرجد شاهدات بأن الله ليس + +62 +00:07:36,020 --> 00:07:42,000 +له شريك تأمل يعني من خلال التفكير المتواصل أو + +63 +00:07:42,000 --> 00:07:48,410 +التأمل الارتقائيفنصل إلى عظمة الله سبحانه وتعالى + +64 +00:07:48,410 --> 00:07:55,390 +من خلال هذه المخلوقات الجميلة الرائعة وهي الأزهار + +65 +00:07:55,390 --> 00:08:03,110 +والنباتات الرائعة التي تظهر في الربيع ومن أهمها + +66 +00:08:03,110 --> 00:08:10,310 +النجس عيون ملجينوقبل قليل رأينا أن هذه العيون + +67 +00:08:10,310 --> 00:08:18,230 +ثلاثة عيون من النجسي على قائم أخضر أملسي + +68 +00:08:18,230 --> 00:08:25,350 +يذكرنني طيب ري الحبيب إذا النجس ومن خلال هذه + +69 +00:08:25,350 --> 00:08:32,610 +الوقفة نجد أن الشعراء منهم من ارتقى إلى معنى + +70 +00:08:32,610 --> 00:08:34,590 +إنساني ك + +71 +00:08:37,360 --> 00:08:44,060 +كإبراهيم بن المهدي ومطيع بن إياس لكننا نجد أبو + +72 +00:08:44,060 --> 00:08:50,440 +نواس يرتقي إلى معنا أعظم وهو المعنى الديني وحدانية + +73 +00:08:50,440 --> 00:08:58,440 +الله سبحانه وتعالىعيون منلجين شاخصات بأحداق هي + +74 +00:08:58,440 --> 00:09:07,200 +الذهب السبيك هذه هي وردة النجس وسطها أبيض ومحيطها + +75 +00:09:07,200 --> 00:09:15,060 +أصفر كالذهب السبيك النقي من الشوائم على قطب + +76 +00:09:15,060 --> 00:09:22,340 +الزبرجة دي شاهدات بأن الله ليس له شريكعلى قطب + +77 +00:09:22,340 --> 00:09:29,480 +الزبرجد والزبرجد هو من الأحجار الكريمة لونه أخضر + +78 +00:09:29,480 --> 00:09:41,880 +فيقول إن هذه العيون شاخصة على قطب الزبرجد وشخصها + +79 +00:09:41,880 --> 00:09:51,320 +يشهدوا بأن الله ليس له شريكهشاهدات بأن الله ليس له + +80 +00:09:51,320 --> 00:09:56,940 +شريكه إذا هنا من خلال التفكير المتواصل أو التأمل + +81 +00:09:56,940 --> 00:10:05,160 +الارتقائي وصل الشاعر أبو نواس إلى معنى ديني وهو + +82 +00:10:05,160 --> 00:10:14,750 +وحدانية الله وأنه لا شريك لهفاستدلّى أو انتقل من + +83 +00:10:14,750 --> 00:10:21,570 +وصف الطبيعة إلى وصف عظمة الله سبحانه وتعالى + +84 +00:10:21,570 --> 00:10:27,270 +وإقراره بذلك أيضًا + +85 +00:10:27,270 --> 00:10:34,810 +لم يقف الشاعر العباسي عند هذا الحد بل أيضًا ارتقى + +86 +00:10:34,810 --> 00:10:41,530 +إلى معنى آخر وهو المعنى الجماليإذ إن الشاعر العبسي + +87 +00:10:41,530 --> 00:10:49,050 +رأى في الطبيعة القيمة الجمالية أو قيمة الجمالفهذه + +88 +00:10:49,050 --> 00:10:56,050 +المظاهر الجميلة ومظاهر + +89 +00:10:56,050 --> 00:11:05,370 +الأزهار النباتات ولدت فيه إحساسا بالجمال وأيضا + +90 +00:11:05,370 --> 00:11:15,300 +شكلت لديه رؤية ومفهوما للجمال فقالالصنوبري وهو من + +91 +00:11:15,300 --> 00:11:21,120 +أبرض شعراء الطبيعة في هذا العصر وهو صاحب مدرسة + +92 +00:11:21,120 --> 00:11:28,800 +اطلق عليها المدرسة الحلبية في الشعر التي تتلمذ + +93 +00:11:28,800 --> 00:11:34,680 +عليها معظم شعراء الأندلس بعد نصف قرن من الزمان + +94 +00:11:34,680 --> 00:11:45,200 +يقول الصنوبري أما الرياضةفعشقها عشق لم يبقى في + +95 +00:11:45,200 --> 00:11:54,260 +لغيرها طرق نسخ الرياضي أتت كتقرأ من بعد كأن سطورها + +96 +00:11:54,260 --> 00:12:01,300 +مشق نشرت على تلك الربة أو نشرت على تلك الربة حلل + +97 +00:12:01,300 --> 00:12:11,220 +مما يحوق الرعد والبرق ظل البهارتضيء أوجهه فيضيء + +98 +00:12:11,220 --> 00:12:17,040 +منها الغرب والشرق زهر الرياض إذا هي ابتسمت تدعو + +99 +00:12:17,040 --> 00:12:27,000 +فيسرع نحوها الخلق فتظل تنطق وهي ساكتة إن الرياض + +100 +00:12:27,000 --> 00:12:29,340 +سكوتها نطق + +101 +00:12:32,490 --> 00:12:38,190 +في البيت الأول أما رياضه فعشقها عشقه يعني عشقي + +102 +00:12:38,190 --> 00:12:45,270 +للرياض هو العشق الحقيقي هو عشق لا عشق بعده يعني + +103 +00:12:45,270 --> 00:12:48,450 +فنرى + +104 +00:12:48,450 --> 00:13:00,950 +أنه يعنيفي تأمله للطبيعة ومشاركته لها نراه أنه + +105 +00:13:00,950 --> 00:13:09,250 +يعني أقم علاقة علاقة عاطفية وهي أيه؟ العشق والعشق + +106 +00:13:09,250 --> 00:13:14,110 +لا يكون إلا إذا كانت هناك صفات من الجمال والحسن + +107 +00:13:14,110 --> 00:13:23,170 +فقال إن الرياضة يعني هي المعشوقةالحقيقية ليه فليس + +108 +00:13:23,170 --> 00:13:36,150 +هناك عشق لأي شيء آخر عشق صادق نقي لم يبق في لغيرها + +109 +00:13:36,150 --> 00:13:44,790 +طرقه وهذا العشق إنما ناشئ من صفات جمالية في الريال + +110 +00:13:47,360 --> 00:13:55,000 +النسخ الرياضي أتت كتقرأ من بعد كأن سطورها مشقو هنا + +111 +00:13:55,000 --> 00:14:07,660 +يتحدث عن جمال الهندسة لهذه الرياضي بحيث إنها يعني + +112 +00:14:07,660 --> 00:14:17,120 +تبدو كالخطوط المستقيمة التي تقرأ من مسافة بعيدة + +113 +00:14:17,450 --> 00:14:28,290 +تقرأ من بعد كأن سطورها مشقو يعني خط مستقيم نشرت + +114 +00:14:28,290 --> 00:14:36,150 +على تلك الربا حلل يعني مظاهر جميلة و بقع جميلة + +115 +00:14:36,150 --> 00:14:44,330 +للرياضي والازهار مما يحوك الرعد والبرقوهنا طبعا + +116 +00:14:44,330 --> 00:14:54,330 +الشاعر يعمق الإحساس الجمالي من خلال التشبيهات + +117 +00:14:54,330 --> 00:15:02,350 +والاستعارات والكنايات مما يحوق الرعد والبرق يعني + +118 +00:15:02,350 --> 00:15:09,590 +شبه الرعد والبرق بالإنسان الحائقوحذف المشبه به وهو + +119 +00:15:09,590 --> 00:15:16,310 +الإنسان وأتى بشيء من لوازمه وهو يحوك على سبيل + +120 +00:15:16,310 --> 00:15:23,770 +الاستعارة المكنية أظل البهار تضيء أوجهه فيضيء منها + +121 +00:15:23,770 --> 00:15:29,550 +الغرب والشرق أظل البهار تضيء أوجهه فيضيء منها + +122 +00:15:29,550 --> 00:15:37,250 +الغرب والشرق والبهار هو أيه هو ورد النجسزهر + +123 +00:15:37,250 --> 00:15:44,230 +الرياضي إذا هي ابتسمت تدعو فيسرع نحوها الخلق هنا + +124 +00:15:44,230 --> 00:15:51,330 +طبعا الشاعر وتعميقا لصفات الجماليخلع عليها معاني + +125 +00:15:51,330 --> 00:15:59,050 +إنسانية يعني يؤنس الطبيعة يعني يمنحها معاني وصفات + +126 +00:15:59,050 --> 00:16:06,010 +إنسانية فالابتسام لا يكون إلا للإنسان ولكنه أي + +127 +00:16:06,010 --> 00:16:14,030 +الشاعر خلعه لظهر الرياض فقال ظهر الرياض إذا هي + +128 +00:16:14,030 --> 00:16:18,490 +ابتسمت تدعو فيسرع نحوها الخلق + +129 +00:16:21,850 --> 00:16:32,090 +فتظل تنطق وهي ساكتة إن الرياضة سكوتها نطق فالرياضة + +130 +00:16:32,090 --> 00:16:39,290 +إنما تتكلم بمظاهرها المشاهدة + +131 +00:16:40,740 --> 00:16:47,220 +الرياضة لا تتكلم إنما تتكلم بأزهارها وأشكالها + +132 +00:16:47,220 --> 00:16:54,300 +الهندسية الجميلة إن الرياضة سكوتها نطقها بمعنى + +133 +00:16:54,300 --> 00:17:02,440 +أنها بلغت درجة عالية من الجمال بحيث يعني أنها يعني + +134 +00:17:02,440 --> 00:17:13,390 +تعبر عن جمالها دون إحداث كلام منطوقف .. فسكوتها + +135 +00:17:13,390 --> 00:17:24,090 +انما يعبر عن جمال و حسن رائع ان الرياضة سكوتها + +136 +00:17:24,090 --> 00:17:31,370 +نطفه و كما قال المتنبي كما + +137 +00:17:31,370 --> 00:17:38,670 +قال المتنبي في في هذا الموضوع + +138 +00:17:42,370 --> 00:17:49,870 +كما قال ونسيته هذا البيت لعلي أذكره بعد قليل + +139 +00:17:49,870 --> 00:17:54,490 +فنلاحظ + +140 +00:17:54,490 --> 00:18:00,410 +أن الشاعر العباسي بفضل التطور العلمي قد وصل إلى + +141 +00:18:00,410 --> 00:18:06,050 +درجة عالية من التفكير ساعده في أن يقف في هذه + +142 +00:18:06,050 --> 00:18:09,830 +المواقف الرائعة من الطبيعة + +143 +00:18:13,950 --> 00:18:20,590 +و نذكر طبعا في هذا السياق البيت المتنبي الذي يقول + +144 +00:18:20,590 --> 00:18:27,210 +وفي النفس حاجات وفيك فطانة سكوتي بيان عندها وخطاب + +145 +00:18:27,210 --> 00:18:33,550 +ذلك أن الشيء الذي أقصده أن المعنى إذا وصل إلى أعلى + +146 +00:18:33,550 --> 00:18:40,150 +الدرجات ربما تعجز عنه اللغة فيتوقف النطق وليس معنى + +147 +00:18:40,150 --> 00:18:46,970 +توقف النطقلأن المعنى قد توقف، لأ المعنى قد انطلق، + +148 +00:18:46,970 --> 00:18:53,230 +انطلاق فوق الدلالة الحقيقية، يعني يزداد انطلاقًا، + +149 +00:18:53,230 --> 00:19:00,150 +إن الرياضة سكوتها نطقه، يعني هذا السكوت هو حركة + +150 +00:19:00,150 --> 00:19:05,610 +للمعنى أيضًا، لأن المعنى أجمل، + +151 +00:19:05,610 --> 00:19:12,330 +لأن التعبير بلغة الجسدأعمق من التعبير اللغوي + +152 +00:19:12,330 --> 00:19:18,190 +المباشر لماذا؟ لأن التعبير بجزء من التجربة أعمق + +153 +00:19:18,190 --> 00:19:23,190 +وأذل هذا و بالله التوفيق و صلى اللهم على نبينا + +154 +00:19:23,190 --> 00:19:27,810 +محمد وعلى آله وصحبه وسلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/WLq6UsdptII_raw.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/WLq6UsdptII_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..ac12b5c9cb11bf912f7b805dd2d3ed856c3bb04f --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/WLq6UsdptII_raw.srt @@ -0,0 +1,432 @@ +1 +00:00:05,200 --> 00:00:08,960 +بسم الله الرحمن الرحيم وأصلي وسلم على نبينا محمد + +2 +00:00:08,960 --> 00:00:13,420 +وعلى آله وصحبه وسلم تسليمًا كثيرًا موضوع هذه + +3 +00:00:13,420 --> 00:00:18,320 +المحاضرة التجديد في قصيرة الفخر في العصر العباسي + +4 +00:00:18,320 --> 00:00:26,040 +الملاحظ أن الفخر القبلي ضعف في هذا العصر للأسباب + +5 +00:00:26,040 --> 00:00:34,050 +التالية ضعف الحمية العربيةلأن الحضور الفارسي الذي + +6 +00:00:34,050 --> 00:00:40,750 +كان بسبب أن هذه الدولة العباسية قد نشأت على أكتاف + +7 +00:00:40,750 --> 00:00:49,870 +الفرس قد منح الفرس أن يتحكموا في مفاصل الدولة وأن + +8 +00:00:49,870 --> 00:00:54,990 +يطبعوا الدولة العباسية بطابع فارسي فبدت الدولة + +9 +00:00:54,990 --> 00:01:01,090 +والحياة اليوميةوشؤون الإدارة كما لو كانت دولة + +10 +00:01:01,090 --> 00:01:09,610 +فارسية مما أضعف الحمية والتحمس للأخلاق العربية + +11 +00:01:09,610 --> 00:01:16,470 +السبب الثاني ضعف سلطان القبيلة على الأخلاق الفردية + +12 +00:01:16,470 --> 00:01:21,890 +والذاتية فمن المعلوم أن القبيلة كان لها سلطان في + +13 +00:01:21,890 --> 00:01:29,440 +العصر الجاهلي على أبنائهاوأي إنسان تكثر جرائره + +14 +00:01:29,440 --> 00:01:35,620 +وتسوء أخلاقه كانت القبيلة تلفظه وقد عبّر طرف من + +15 +00:01:35,620 --> 00:01:40,920 +العبد عن ذلك بقوله إلى أن تحمتني العشيرة كلها + +16 +00:01:40,920 --> 00:01:46,900 +وأفردت أفراد الباعير المعبدينإلى أن تحمتني يعني + +17 +00:01:46,900 --> 00:01:53,580 +ارتكب من الأخطاء والسلوكيات السيئة التي أدت إلى أن + +18 +00:01:53,580 --> 00:02:00,140 +تبتعد القبيلة عنه وأن تفرده كما تفرد البعير الذي + +19 +00:02:00,140 --> 00:02:07,000 +بيه جرب كانت العرب تفرد القبل التي بيها جرب في + +20 +00:02:07,000 --> 00:02:13,940 +مكان خاص حتى لا يختلطه وينتشر المرض في غيرها من + +21 +00:02:13,940 --> 00:02:21,950 +القبلالشيء الثالث اعتماد الشاعر العباسي على مواهبه + +22 +00:02:21,950 --> 00:02:28,770 +وأخلاقه الذاتية دون أخلاق القبيلة فقال ابن المعتز + +23 +00:02:28,770 --> 00:02:36,650 +لا أشرب الماء إلا وهو منجرد من القذا ولغيري الشوب + +24 +00:02:36,650 --> 00:02:43,710 +والرنق عزمي حسام وقلبي لا يخالفه إذا تخاصم عزم + +25 +00:02:43,710 --> 00:02:51,820 +المرء والفرقفالشاعر يفتخر بأنه صاحب إرادة وعزيمة + +26 +00:02:51,820 --> 00:02:56,600 +ولم يفتخر بأخلاقي القبيلة كما كان يفعل الشعراء + +27 +00:02:56,600 --> 00:03:06,920 +الجاهليون أيضًا من الأسباب التي أدت إلى ضعف الفخر + +28 +00:03:06,920 --> 00:03:13,360 +القبلي أن الأخلاق ارتبطت بالحال لا بالصفة الثابتة + +29 +00:03:14,230 --> 00:03:20,810 +يعني ارتبط بالمصالح لا بالمبادئو يبدو الأمر كما لو + +30 +00:03:20,810 --> 00:03:25,950 +كان سياسة فإذا كانت الأخلاق في تحليلها النهائي + +31 +00:03:25,950 --> 00:03:33,130 +تهدف إلى التضحية فإن السياسة تهدف إلى المصلحة + +32 +00:03:33,130 --> 00:03:39,550 +فغاية السياسة الحصول على المصالح أما الأخلاق فهي + +33 +00:03:39,550 --> 00:03:47,950 +تقدم التضحية بالمال أو النفسفارتبطت الأخلاق + +34 +00:03:47,950 --> 00:03:56,370 +بالمصالح والأحوال لا بالصفة الثابتة كما كان عند + +35 +00:03:56,370 --> 00:04:03,170 +أخلاق العرب في الجاهرية وإني لذو حلم على أن ثورتي + +36 +00:04:03,170 --> 00:04:10,170 +إذا هزني قوم حميت بها عرضي وإني لأجزي بالكرامة + +37 +00:04:10,170 --> 00:04:18,300 +أهلها وبالحقد حقدا في الشدائد والخفضيأفتخر بأنه ذو + +38 +00:04:18,300 --> 00:04:26,020 +حلم لكنه يغضب وهذا الغضب إنما يحمي به عرضه إذا + +39 +00:04:26,020 --> 00:04:32,200 +انتهك وإني لا أجزي بالكرامة أهلها وبالحقد حقدا في + +40 +00:04:32,200 --> 00:04:39,460 +الشدائد والخفض فهو وهنا موطن الشاهد أنه يجزي + +41 +00:04:39,460 --> 00:04:47,480 +الكرامة لأهل الكرامةويبادل الحقد بالحقد في أوقات + +42 +00:04:47,480 --> 00:04:52,760 +الشدة وأوقات الرخاء فالأخلاق هنا قائمة على + +43 +00:04:52,760 --> 00:04:59,040 +التبادلية وليس على مبدأ الطرحها فهو يقابل خلقا + +44 +00:04:59,040 --> 00:05:08,570 +بخلقوهذه هي المصالح هذه هي التبادلية وهذا هو ملخص + +45 +00:05:08,570 --> 00:05:13,390 +والتحليل النهائي للسياسة فالسياسة تقوم على + +46 +00:05:13,390 --> 00:05:18,970 +التبادلية في المصالح أما الأخلاق فتقوم على التضحية + +47 +00:05:18,970 --> 00:05:24,310 +إذ الواجب أخلاقيا هنا أن يقابل الحقد بالعفو + +48 +00:05:24,310 --> 00:05:32,070 +والتسامح والإحسان فهذا هو المنهج الأخلاقيأيضًا من + +49 +00:05:32,070 --> 00:05:38,490 +طبعًا إحنا في العصر الجاهلي يعني وجدنا أن الشاعر + +50 +00:05:38,490 --> 00:05:48,610 +يفتخر بالأخلاق في الصفة السابقة دون المصلحة أو دون + +51 +00:05:48,610 --> 00:05:54,980 +أن ترتبط بالحالفيقول طرف ابن العبد نحن في المشتات + +52 +00:05:54,980 --> 00:06:00,860 +ندعو الجفلة لا ترى الأادب فينا ينتقروا فالأخلاق + +53 +00:06:00,860 --> 00:06:04,260 +لمجرد الأخلاق نحن في المشتات يعني في وقت الشتاء + +54 +00:06:04,260 --> 00:06:10,100 +حيث يحتاج الناس إلى الطعام كنا ندعو الناس عامة ولا + +55 +00:06:10,100 --> 00:06:18,280 +ترى فينا الأادب الذي يعني يدعو إلى الطعام لا ينتقر + +56 +00:06:18,280 --> 00:06:21,600 +ولا يخص قوما دون آخرين + +57 +00:06:29,850 --> 00:06:34,910 +أيضًا من التجديد أننا وجدنا الشاعر عباسي يعيد + +58 +00:06:34,910 --> 00:06:41,010 +إنتاج الصورة القديمة للقيمة الخلقية فمثلًا يقول + +59 +00:06:41,010 --> 00:06:47,890 +أبو بكر النطاح ومن يفتقر منا يعش بحسامه ومن يفتقر + +60 +00:06:47,890 --> 00:06:55,090 +من سائر الناس يسألي وإنا لنله بالسيوف كما لهد فتاة + +61 +00:06:55,090 --> 00:07:02,090 +بعقد أو ثخاب قرنفلالبيت الأول يبدو كما لو كان + +62 +00:07:02,090 --> 00:07:09,830 +شاعرا جاهليا فهو عندما يفتكريعتمدوا على القوة + +63 +00:07:09,830 --> 00:07:17,150 +الباطشة للحصول على الغنى بينما الآخرون لا يقدرون + +64 +00:07:17,150 --> 00:07:21,510 +على استعمال هذه القوة في تحصيل الغنى فيمارسون + +65 +00:07:21,510 --> 00:07:28,030 +الذلة والمهانة والسؤال في تحصيل الرزق وإن لنلهوا + +66 +00:07:28,030 --> 00:07:35,380 +بالسيوف كما لهت فتاة بعقد أو ثخاب قرنفليوهذه علامة + +67 +00:07:35,380 --> 00:07:43,260 +شجاعتنا فنحن نلعب بالسيوف ونلهو بها لا نخاف حملة + +68 +00:07:43,260 --> 00:07:50,260 +هذه السيوف التي يعني أننا شجعان فنحن نلعب بالسيوف + +69 +00:07:50,260 --> 00:07:57,760 +لأن لدينا إرادة قوية وصادقة ولا نخش من تبعات + +70 +00:07:57,760 --> 00:08:05,390 +الحروبفنلعب كما تلعب الفتاة الصغيرة حين يهدى إليها + +71 +00:08:05,390 --> 00:08:14,930 +عقد أو قلادة قرنفل فهي تلهو وتلعب وكذلك نحن نلعب + +72 +00:08:14,930 --> 00:08:23,310 +بالسيوف لا نخشى تبعات الحروبأيضًا وجدنا أن الشاعر + +73 +00:08:23,310 --> 00:08:31,770 +العباسي يفخر بنظامه السياسي وهذا ما كان من علي بن + +74 +00:08:31,770 --> 00:08:37,010 +الجهم حين مدح بني العباس إنه يفخر بالانتماء إليهم + +75 +00:08:37,600 --> 00:08:44,180 +فقال لنا في بني العباسي أكرم أسوة فهم خير خلق الله + +76 +00:08:44,180 --> 00:08:51,620 +طرًا وأفضله ليست لهم عند المقام سقاية مكرمة تروي + +77 +00:08:51,620 --> 00:08:57,560 +الحديجة وتفضله فالشاعر العباسي أخذ يفخر بالنظام + +78 +00:08:57,560 --> 00:09:03,980 +السياسي بدل من الفخر القبلي الذي رأيناه في عصري + +79 +00:09:03,980 --> 00:09:09,250 +الجاهلومع ذلك فإن الفخر القبلي لم ينقرض في هذا + +80 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ويكسرون العظماء الظلمة يساعدون الفقراء + +92 +00:10:38,940 --> 00:10:48,880 +وينتصرون لهم وينتصرون من الظالم ومن القوي فهذه + +93 +00:10:48,880 --> 00:10:57,300 +علامة قوة يفتخر بهاهم المنكب العالي على كل منكب هم + +94 +00:10:57,300 --> 00:11:04,440 +أصحاب المكانة العالية بين الأماكن العالية وبين + +95 +00:11:04,440 --> 00:11:15,000 +الأمم والقبائل الأخرى فمع أن هناكمنافسين كثر إلا + +96 +00:11:15,000 --> 00:11:22,220 +أنهم هم البارزون على هذه الكثرة و لذلك قال كله على + +97 +00:11:22,220 --> 00:11:28,160 +كل منكب يعني هناك منافسون كثر ولكنهم هم المنكب + +98 +00:11:28,160 --> 00:11:35,360 +العالي و طبعا عندما يكون الفخر بين أشخاص و قبائل + +99 +00:11:35,360 --> 00:11:42,260 +شتى يكون أفضل عندما تكون القبائل قليلةسيوفهم تفني + +100 +00:11:42,260 --> 00:11:49,270 +وتغني وتفقرهم تفني الأعداءوتغنيهم بالمال الوافر + +101 +00:11:49,270 --> 00:11:56,110 +وتفقر الآخرين عندما يسلبون الأموال بقوة سيوفهم + +102 +00:11:56,110 --> 00:12:08,110 +فنلاحظ أن الفخر القبلي يعني لازال موجودا إذن الفخر + 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"probability": 0.7919921875}, {"start": 2406.54, "end": 2406.98, "word": " الصرا", "probability": 0.9306640625}, {"start": 2406.98, "end": 2407.38, "word": " أخ", "probability": 0.757568359375}, {"start": 2407.38, "end": 2408.0, "word": " النجحي", "probability": 0.8416748046875}, {"start": 2408.0, "end": 2408.24, "word": " عند", "probability": 0.99169921875}, {"start": 2408.24, "end": 2409.14, "word": " النائباتي", "probability": 0.80810546875}, {"start": 2409.14, "end": 2410.14, "word": " وصاحبهم", "probability": 0.9181640625}, {"start": 2410.14, "end": 2411.02, "word": " دعيني", "probability": 0.9417724609375}, {"start": 2411.02, "end": 2411.16, "word": " على", "probability": 0.953125}, {"start": 2411.16, "end": 2411.72, "word": " أخلاقي", "probability": 0.952392578125}, {"start": 2411.72, "end": 2413.0, "word": " مدام", "probability": 0.7936197916666666}, {"start": 2413.0, "end": 2413.2, "word": " أن", "probability": 0.63427734375}, {"start": 2413.2, "end": 2415.86, "word": " أنا", 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محدودة إما بنعم أو لا إما حياة كريمة أو موت كريم تعيني على أخلاق الصم للتي هي الوفر الغنى أو الحياة الكريمة", "tokens": [5172, 9307, 31747, 9957, 1829, 15844, 5551, 9778, 15040, 38436, 15844, 3714, 3555, 18513, 19986, 1829, 5551, 9778, 15040, 4587, 31767, 2304, 37495, 22653, 3714, 3555, 18513, 19986, 1829, 9673, 3555, 18513, 19986, 4032, 20292, 14851, 9673, 9381, 6027, 5016, 37279, 9957, 1829, 15844, 5551, 9778, 15040, 4587, 31767, 2304, 5296, 33456, 9673, 3555, 18513, 19986, 16490, 1829, 9640, 2655, 11296, 3714, 24401, 23328, 3660, 11933, 15042, 44945, 25957, 34051, 20193, 11933, 15042, 11331, 25528, 3660, 9122, 16572, 46007, 34051, 3714, 35473, 9122, 16572, 2304, 37279, 9957, 1829, 15844, 5551, 9778, 15040, 4587, 31767, 2304, 24976, 31371, 39896, 2423, 38688, 2288, 6024, 118, 1863, 7578, 34051, 21542, 25528, 3660, 33251, 16572, 46007], "avg_logprob": -0.08711283185840708, "compression_ratio": 2.292134831460674, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 2427.67, 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المعنى الأول المعبه + +12 +00:01:14,690 --> 00:01:23,050 +عن روح التحدي وصدق التوجه وروح المبادرة يقول ابن + +13 +00:01:23,050 --> 00:01:30,300 +الجهمكم قد تجهمني الصورة وأزالني ليل ينوق بصدره + +14 +00:01:30,300 --> 00:01:38,080 +المتطاول وهزلت أعناق المطي أسومها قفضا ويحجبها + +15 +00:01:38,080 --> 00:01:45,320 +الظلام الشامل هذه الصورة التي التقطها الشاعر إنما + +16 +00:01:45,320 --> 00:01:52,200 +التقطها من مسافة قريبة لتعبر عن معنى يريد أن يذهب + +17 +00:01:52,200 --> 00:02:02,050 +إليهللممدوح وهو الإرادة الصادقة أن أنا جئتك بقوة + +18 +00:02:02,050 --> 00:02:09,320 +الإرادة أو بصدق الإرادة وصدق التوجهفقال كم قد + +19 +00:02:09,320 --> 00:02:15,820 +تجهمني يعني كثيرًا وكم هنا خبرية كثيرًا ما واجهني + +20 +00:02:15,820 --> 00:02:23,300 +الليل أو السير في الليل في أخر الليل وهو أشد فترات + +21 +00:02:23,300 --> 00:02:32,660 +الليل ظلمة وحُلكةوأزالني ومنعني ليل طويل ينق بصدره + +22 +00:02:32,660 --> 00:02:38,840 +المتطاوله وهذه الصورة فيها نوع من التحدي فهذا + +23 +00:02:38,840 --> 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00:04:06,840 +يعني هذه النوق التي نظر إلى الشاعر من مسافة بعيدة + +36 +00:04:06,840 --> 00:04:13,460 +تترقرق كما السراب فأصبحت حركتها كحركة السراب + +37 +00:04:13,460 --> 00:04:20,090 +والسراب في حركته يشبه الماءولذلك وجدناه في القرآن + +38 +00:04:20,090 --> 00:04:26,070 +الكريم استعمل للتشبيه + +39 +00:04:26,070 --> 00:04:32,710 +لحالة الإنسان الذي يعمل عملا ويظن أنه ماء فإذا هو + +40 +00:04:32,710 --> 00:04:38,190 +إيه بصرابوقد خُضنا غماراً من الصراب الجاري يعني + +41 +00:04:38,190 --> 00:04:44,910 +هذه النوق في بعدها البعيد كأنها دخلت في الصراب + +42 +00:04:44,910 --> 00:04:51,610 +كالقصي المعطفات فهي تبدو من بعيد يعني تبدو أسنمة + +43 +00:04:51,610 --> 00:04:58,650 +هذه القبل كالقصي المعطفات المثنية يعني بل الأسهم + +44 +00:04:58,650 --> 00:05:05,560 +مبرية بل هي إيه؟ كالأسهمبل الأوتار فالشاعر هنا + +45 +00:05:05,560 --> 00:05:14,920 +يحرك الصورة باستعماله بل للإضراب الانتقالي كالقصي + +46 +00:05:14,920 --> 00:05:20,940 +المعطفات بل الأسهم مبرية بل الأوتار يحرك الصورة + +47 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الإيجابية عند الممدوحهو + +59 +00:06:36,680 --> 00:06:44,920 +الجمال فكما أن رأينا فيما سبق الشاعر العباسي كما + +60 +00:06:44,920 --> 00:06:49,440 +الشاعر الجاهلي استعمل الصدق الإرادة أو الصبر في + +61 +00:06:49,440 --> 00:06:53,260 +تحريك الطاقة الإيجابية نرى الشاعر العباسي هنا يضيف + +62 +00:06:53,260 --> 00:07:03,880 +أمرا أخر وهو قيمة الجمال فوصف الربيع في مقدمة + +63 +00:07:03,880 --> 00:07:08,760 +القصيدةفالجمال كما في الربيعي يكون أيضًا في + +64 +00:07:08,760 --> 00:07:15,900 +الأخلاق والسلوك وبهذا يعني تكون المقدمة ممهدة بشكل + +65 +00:07:15,900 --> 00:07:23,040 +حقيقي إلى الموضوع الأساسي للقصيدة أو للمدحة + +66 +00:07:23,040 --> 00:07:30,400 +العباسيةفمدخل الشاعر إلى الممدوح أو إلى تحريك + +67 +00:07:30,400 --> 00:07:36,480 +الطاقة الإيجابية من خلال قيمة الجمال ولذلك بدأ + +68 +00:07:36,480 --> 00:07:42,940 +القصيدة بوصف الربيع فقال أبو تمام في مستهل قصيدة + +69 +00:07:42,940 --> 00:07:49,880 +يمدح فيها المعتصم رقت حواش الدهري فهيتمرمروا وغدا + +70 +00:07:49,880 --> 00:07:54,720 +السرى في حليه يتكسرواوكأن الشعر يريد أن يقول + +71 +00:07:54,720 --> 00:08:01,530 +للممدوح إنك ربيع في جمالك وعطائكفالجمال قيمة تظهر + +72 +00:08:01,530 --> 00:08:12,110 +في الأخلاق والسلوك والطبيعة لذلك يصلح أن يتقدم + +73 +00:08:12,110 --> 00:08:20,030 +قصيدة المدح وصف الربيع لما يثيره من جمال والجمال + +74 +00:08:20,030 --> 00:08:26,260 +يعني يحرك الطاقة الإيجابية عند الممدوعةوقد امتد + +75 +00:08:26,260 --> 00:08:30,460 +هذا الاتجاه أيضا لوصف مظاهر الحضارة أيضا + +76 +00:08:33,380 --> 00:08:37,780 +وكأن شعري يريد أن يقول أو أن يذهب إلى الممدوح من + +77 +00:08:37,780 --> 00:08:43,740 +خلال صفة معينة وهي التحضر كأنه يقول للممدوح أنك + +78 +00:08:43,740 --> 00:08:50,140 +إنسان متحضر وهذه الكلمة كافية لتحريك الطاقة + +79 +00:08:50,140 --> 00:08:57,400 +الإيجابية عند الممدوح وتدفعه إلى الاريحية والعطاء + +80 +00:08:57,400 --> 00:09:03,790 +أو حسن العطاء والإكرامفقال ابن الجهم يصف القصر ال + +81 +00:09:03,790 --> 00:09:10,090 +هاروني صحون تسافر فيها العيون وتحصر عن بعض أقطارها + +82 +00:09:10,090 --> 00:09:18,430 +وقبة ملك كأن النجوم تفضي إليها بأسرارها تخر الوفود + +83 +00:09:18,430 --> 00:09:24,090 +لها سجدا إذا ما تجلت لأبصارها لها شرفات كأن الربيع + +84 +00:09:24,090 --> 00:09:31,590 +كساها الرياضة بأنوارهاوفوّرت ثأرها في السماء فليست + +85 +00:09:31,590 --> 00:09:36,410 +تقصر عن ثأرها ترد على المذنب ما أنزلت على الأرض من + +86 +00:09:36,410 --> 00:09:44,570 +الصوب أو مطارها فطبعا هنا نلاحظ أن الشاعر يستعمل + +87 +00:09:44,570 --> 00:09:50,350 +مظهرا من مظاهر الحضارة وهو وصف القصر ليكون مدخلا + +88 +00:09:50,350 --> 00:09:56,980 +لقصيدة المدحفقال صحون تسافر فيها العيون وطبعا + +89 +00:09:56,980 --> 00:10:05,900 +الصحن هو يعني متسع من المكان يكون داخل القصرودلالة + +90 +00:10:05,900 --> 00:10:11,900 +تسافر تفيد اتساع هذه الصحون أو يعني ان هذه الصحون + +91 +00:10:11,900 --> 00:10:17,840 +فيها من الرسومات والنقوش والخطوط الجميلة التي تشرح + +92 +00:10:17,840 --> 00:10:25,740 +العيون ويسرح فيها الإنسان تأملا ونحو ذلك فكلمة + +93 +00:10:25,740 --> 00:10:32,980 +تسافر لها دلالتان الاتساع والجماللأن الذي يحرك + +94 +00:10:32,980 --> 00:10:38,960 +العيون هو الاتساع أيضًا الجمال يحرك العيون تأملا + +95 +00:10:38,960 --> 00:10:47,660 +ارتقائيا وتحصر وتقصر هذه العيون عن الوصول إلى آخر + +96 +00:10:47,660 --> 00:10:55,480 +القطر أيضًا من مظاهر الجمال في هذا القصر اللي هو + +97 +00:10:55,480 --> 00:11:01,310 +القبةوطبعا هنا يعني إذا كانت الصحون فيها صفة + +98 +00:11:01,310 --> 00:11:09,630 +الجمال فإن القبة فيها صفة العظمة فقال وقبة ملك كأن + +99 +00:11:09,630 --> 00:11:16,290 +النجوم تفضي إليها بأسارها فقد بلغت من العلو ما كاد + +100 +00:11:16,290 --> 00:11:21,850 +يقربها من النجوم ولذلك العلاقة بينه و بين النجوم + +101 +00:11:21,850 --> 00:11:28,270 +علاقة عاطفية حميمةوقبة ملك كأن النجوم تفضي إليها + +102 +00:11:28,270 --> 00:11:34,530 +بأسرارها طبعا هنا فيه تصوير العلاقة الحميمة بين + +103 +00:11:34,530 --> 00:11:42,490 +النجوم والقبة بأن النجوم تفضي إلى هذه القبة + +104 +00:11:42,490 --> 00:11:51,450 +الأسرار ولا يكون ذلك إلا بين صديق وصديق حميم وطبعا + +105 +00:11:51,450 --> 00:11:58,200 +الشاعر هنايعبر عن عظمة هذه القُبّة بارتفاعها + +106 +00:11:58,200 --> 00:12:01,320 +وأيضًا + +107 +00:12:01,320 --> 00:12:09,560 +يعبر عن العظمة إحساسًا يعني عبر عن العظمة فكرةً + +108 +00:12:09,560 --> 00:12:12,920 +عندما قالوا قُبّة مُلك كأن النجوم تفضي إليها + +109 +00:12:12,920 --> 00:12:16,620 +بأسرارها وعبر عن العظمة إحساسًا + +110 +00:12:21,260 --> 00:12:27,360 +لأن الفكر أو التفكير بالعظمة غير الإحساس بالعظمة + +111 +00:12:27,360 --> 00:12:34,480 +لأن الإحساس بالعظمة عمل مقلبي يتبعه سلوك سريع فقال + +112 +00:12:34,480 --> 00:12:40,160 +تخر الوفود لها سجداإذا ما تجلّت لأبصارها فهذا + +113 +00:12:40,160 --> 00:12:46,200 +تعبير عن الإحساس الجمالي فمجرد أن تتجلى هذه القبة + +114 +00:12:46,200 --> 00:12:52,900 +مسارعون في السجود لها تخرّوا لها سجدوا ولم يقولوا + +115 +00:12:52,900 --> 00:12:58,200 +أيه تسجدوا لها إنما تخرّوا وهذا طبعا أيه دليل على + +116 +00:12:58,200 --> 00:13:07,550 +الإحساس بعظمة هذه القبةفرق بين العظمة كفكرة وبين + +117 +00:13:07,550 --> 00:13:14,250 +العظمة كإحساس وتجربة لها شرفات كأن الربيع أكساها + +118 +00:13:14,250 --> 00:13:20,190 +الرياض بأنوارها هذه القبة لها شرفات أو فتحات + +119 +00:13:20,190 --> 00:13:29,520 +بألوان من الزجاج زاهيةوعندما يعني تشرق الشمس يعني + +120 +00:13:29,520 --> 00:13:36,240 +تحرك هذه الألوان بحركة الشمس وتضيق هذه الألوان + +121 +00:13:36,240 --> 00:13:43,080 +إضاءة كما لو كانت روضة من رياضي الربيع أيضا من + +122 +00:13:43,080 --> 00:13:48,280 +المظاهر الحضرية الجميلة أيضا وفوارة ثأرها في + +123 +00:13:48,280 --> 00:13:54,620 +السماءفليست تقصر عن ثقرها ترد على المذن ما أنزلت + +124 +00:13:54,620 --> 00:14:03,060 +على الأرض من صوب أمطارها أيضًا يعني النفورة طبعًا + +125 +00:14:03,060 --> 00:14:08,580 +الفورة هي نفورة الماءتدفع بالماء إلى أعلى وكأن + +126 +00:14:08,580 --> 00:14:15,160 +هناك علاقة علاقة ثأر علاقة ضدية بين النفورة وبين + +127 +00:14:15,160 --> 00:14:21,560 +السماء فإذا كانت السماء تنزل الماء فإن هذه النفورة + +128 +00:14:21,560 --> 00:14:29,660 +تدفع الماء إلى أعلى فترد المذن فترد فترد على المذن + +129 +00:14:29,660 --> 00:14:35,690 +ما أنزلت من الأمطار أو من مياه الأمطارفالعلاقة هنا + +130 +00:14:35,690 --> 00:14:40,960 +طبعا علاقة ضدية ولذلك الصورة هنا منسجمةفإذا كانت + +131 +00:14:40,960 --> 00:14:45,240 +هناك علاقة بين القُبّة والنجوم علاقة حميمة لأن + +132 +00:14:45,240 --> 00:14:51,060 +الحركة هناك حركة القُبّة إلى أعلى أما هنا فهناك + +133 +00:14:51,060 --> 00:14:57,860 +حركة ضدية حركة الأمطار إلى أسفل وحركة مياه النفورة + +134 +00:14:57,860 --> 00:15:03,220 +إلى أعلى فلذلك لم تكن العلاقة حميمية وإنما كانت + +135 +00:15:03,220 --> 00:15:10,400 +علاقة إهثأر وانتقامأيضًا من المظاهر الحضرية التي + +136 +00:15:10,400 --> 00:15:19,980 +يعني ابتدت بها المقدمة القصيدة في هذا العصر وصف + +137 +00:15:19,980 --> 00:15:25,970 +بركة المتوكليقول البحثوري يا من رأى البركة الحسناء + +138 +00:15:25,970 --> 00:15:33,170 +رؤيتها والغانيات إذا + +139 +00:15:33,170 --> 00:15:36,950 +لاحت مغانيها + +140 +00:15:36,950 --> 00:15:44,880 +تنصب فيها وفود الماء معجلةكالخيل خارجة من حبل + +141 +00:15:44,880 --> 00:15:50,860 +مجريها كأنما الفضة البيضاء سائلة من السبائك تجري + +142 +00:15:50,860 --> 00:15:56,860 +في مجاريها فحاجب الشمس أحيانا يضاحكها وريق الغيث + +143 +00:15:56,860 --> 00:16:04,710 +أحيانا يباكيهانفس الشيء هنا يريد الشاعر أن يدخل + +144 +00:16:04,710 --> 00:16:15,430 +على الممدوح بقيمة جمالية وهي التحضر فالتحضر مدخل + +145 +00:16:15,430 --> 00:16:21,290 +يصلح أن يكون لتحريك + +146 +00:16:21,290 --> 00:16:25,250 +الطاقة الإيجابية عند الممدوح والأريحية + +147 +00:16:26,190 --> 00:16:30,430 +فيقول أنت إنسان متحضر والدلالة على ذلك هذه البركة + +148 +00:16:30,430 --> 00:16:37,350 +الجميلة التي تحيط بها الغانيات والأماكن المتشعة + +149 +00:16:37,350 --> 00:16:43,550 +وتندفع اليها المياه بقوة وبغزارة كما الخيل عندما + +150 +00:16:43,550 --> 00:16:51,990 +تنطلق إن انطلاقها انطلاق فيه حيويةوفيه فاعلية + +151 +00:16:51,990 --> 00:17:00,170 +وطبعا من صفات هذا الماء أنه نقي كما الفضة التي + +152 +00:17:00,170 --> 00:17:07,700 +تجري سائلة من السبائكوهناك علاقة حميمية بين الشمس + +153 +00:17:07,700 --> 00:17:14,240 +والبركة فحاجب الشمس أحيانا يضاحكها وريق الغيث + +154 +00:17:14,240 --> 00:17:20,160 +أحيانا يباكيها وهنا في انسجام وتوازن في الصورة + +155 +00:17:21,000 --> 00:17:28,880 +فحاجب الشمس يضحك لأن الشمس والضحك فيهما الإشراق + +156 +00:17:28,880 --> 00:17:36,960 +فالإنسان عندما يضحك في وجهه يكون الإشراق وأيضا + +157 +00:17:36,960 --> 00:17:43,730 +بريق الغيث أحيانا يباكيهافماء المطر يصبض عندما + +158 +00:17:43,730 --> 00:17:54,230 +تكون هناك سحب سوداء فلازم ذلك أن يكون هناك حالة + +159 +00:17:54,230 --> 00:18:04,640 +بكائية ففي هنا انسجام واتساق في بناء الصورةأيضًا + +160 +00:18:04,640 --> 00:18:10,540 +ربما اتجه أيضًا الشعراء إلى وصف ما هو أبعد من هذه + +161 +00:18:10,540 --> 00:18:18,060 +المظاهر كوصف مجالس الغناء والطرب وهذا نراه عند + +162 +00:18:18,060 --> 00:18:22,910 +الشعراء الذين لا ينتمون إلى أصول عربية عريقةوكذلك + +163 +00:18:22,910 --> 00:18:29,530 +الممدوح لا يكونوا يعني منتميا إلى أسره العربية لأن + +164 +00:18:29,530 --> 00:18:39,790 +العرب يعني أكثر محافظة على القيم وأكثر اعتزازا + +165 +00:18:39,790 --> 00:18:46,330 +بالغريب في اللغة كما رأينا في شعر بشار عندما كان + +166 +00:18:46,330 --> 00:18:57,070 +يعني يتتبع الغريبويبني القصيدة بناء عربيا عندما + +167 +00:18:57,070 --> 00:19:02,910 +سأله الخلف لم أكثرت من الغريب قال لأن سلما كان + +168 +00:19:02,910 --> 00:19:08,310 +يتباصر بالغريب فإذا كان المبدوح عربيا أصيلا يبحث + +169 +00:19:08,310 --> 00:19:13,460 +عن الكلمات الغريبة كذلك الشعراءيعني كانوا يلبون + +170 +00:19:13,460 --> 00:19:20,040 +رغبة الممدحين كما رأينا عند بشار وعند أبن واس فإذا + +171 +00:19:20,040 --> 00:19:26,520 +كان الممدح عربيا وجدنا هما يلبسان لباس البدوي + +172 +00:19:26,520 --> 00:19:35,340 +ويبدوان كما البدوي أو الأعراب وينتخيان الكلمات + +173 +00:19:35,340 --> 00:19:42,250 +الغريبة لكن هنا الشاعر ابن روميالشاعر والممدوح + +174 +00:19:42,250 --> 00:19:51,850 +ليسوا عربيين أصيليين فهم إيه أكتر جرأة على يعني + +175 +00:19:51,850 --> 00:19:57,610 +الخروج على القيم الأخلاقية العربية الأصيلة يمدح إن + +176 +00:19:57,610 --> 00:20:06,680 +روميفي مطلع قصيدته في قصيد المدح يعني يأتي بوصف + +177 +00:20:06,680 --> 00:20:14,840 +للقيان يعني المغنيات فقال وقيان كأنها أمهات عاطفات + +178 +00:20:14,840 --> 00:20:21,800 +على بنيها حواني مطفلات وما حملنا جنينا مرضعات و + +179 +00:20:21,800 --> 00:20:28,960 +لسنا ذات لبانيكل طفل يدعى باسماء شتة بين عود ومذهل + +180 +00:20:28,960 --> 00:20:34,880 +وكراني أمه دهرها تترجم عنه وهو بعد الغنى عن + +181 +00:20:34,880 --> 00:20:41,180 +الترجمان غياء ليس ينطق الدهرة إلا بالتزام من أمه + +182 +00:20:41,180 --> 00:20:50,610 +واحتضانهذات صوت تهزه كيف شاءت مثل ما هزه الصبح غصن + +183 +00:20:50,610 --> 00:20:59,070 +باني طبعا نمر على الأبيات بشكل سريع وخيانا يعني + +184 +00:20:59,070 --> 00:21:04,090 +القيان جمع القينة وهي المغنيةحواني جمعي حانية التي + +185 +00:21:04,090 --> 00:21:11,070 +تحن على وليدها مطفلات جمع مطفلة من فعل الإطفال + +186 +00:21:11,070 --> 00:21:17,610 +يعني إيه؟ يعني لديها طفل هناك صيغة أخرى امرأة مطفل + +187 +00:21:17,610 --> 00:21:24,470 +أي ذات إطفال أما مطفلة فهي من فعل الإطفال يعني + +188 +00:21:24,470 --> 00:21:30,670 +إيه؟ تحمل طفلاوما حملنا جنينا مرضعات نفس الشيء + +189 +00:21:30,670 --> 00:21:35,550 +مرضعات الجمعية مرضعة والمرأة تكون مرضعة وتكون + +190 +00:21:35,550 --> 00:21:40,130 +مرضعة فأما مرضعة فهي من فعل الإرضاع يعني ترضعوا + +191 +00:21:40,130 --> 00:21:46,270 +فعلا أما ذات مرضع فذاته إرضاع يعني يمكن أن ترضع + +192 +00:21:46,270 --> 00:21:53,910 +لكنها حالا ليس لديها رضيع + +193 +00:21:56,000 --> 00:22:03,560 +وطبعا مطفلات يعني هنا في عندي صفة جميلة انتزع منها + +194 +00:22:03,560 --> 00:22:13,320 +صفة قبيحة وما حملنا جنينا يعني هي مطفلة ولم يأتي + +195 +00:22:13,320 --> 00:22:20,300 +هذا الطفل من حملة لأن الحملة يضعف المرأة ويقلل من + +196 +00:22:20,300 --> 00:22:25,160 +جمالها وكذلك مرضعات + +197 +00:22:26,080 --> 00:22:36,960 +و لسن ذات لباني يعني ذات لبن لأن الإرضاع يضعف جمال + +198 +00:22:36,960 --> 00:22:43,520 +المرأة لذلك قال سلب هذه الصفة من الصورة أو من + +199 +00:22:43,520 --> 00:22:49,650 +المعنى و قال و لسن ذات لبانيكل طفل وهو طبعا هؤلاء + +200 +00:22:49,650 --> 00:22:54,350 +الأطفال لهم أسماء وطبعا المقصود بالأطفال هنا + +201 +00:22:54,350 --> 00:23:03,390 +الألات الموسيقية فكل طفل له اسم ما هي أسماء هؤلاء + +202 +00:23:03,390 --> 00:23:09,630 +الأطفال عود ومزهر وكران وهذه أدوات موسيقية + +203 +00:23:11,970 --> 00:23:17,990 +أمه دهرها تترجم عنه وهو بادل غنى عن الترجمان يعني + +204 +00:23:17,990 --> 00:23:26,910 +أن هذه المغنية عندما تلحن ينطلق منها الكلام تترجم + +205 +00:23:26,910 --> 00:23:31,530 +يعني تحيل هذه النغمات أو الإيقاعات الموسيقية إلى + +206 +00:23:31,530 --> 00:23:39,700 +لغة مغنية وهو بادل غنى عن الترجمانوهذا الجهاز أو + +207 +00:23:39,700 --> 00:23:47,120 +هذه الأدوات يعني فيها من الكفاءة بحيث أنها يعني لا + +208 +00:23:47,120 --> 00:23:53,880 +تحتاج إلى من يترجم عنها فلقد بلغت المغني أو القينة + +209 +00:23:53,880 --> 00:24:01,820 +من المهارة بحيث يبلغ اللحن متطابقا مع اللغة + +210 +00:24:02,760 --> 00:24:09,920 +المنطوقة لغة الغناء يعني لحن الغناء يتطابق مع لغة + +211 +00:24:09,920 --> 00:24:15,560 +الغناء أمه + +212 +00:24:17,290 --> 00:24:21,570 +أمه دهرها تترجم عنه وهو بادل غنه عن الترجمان غير + +213 +00:24:21,570 --> 00:24:26,830 +أن ليس ينطق وطبعا هذه الظاهرة لا تتحقق إلا حين + +214 +00:24:26,830 --> 00:24:32,030 +احتضان هذه المغنية أو القينة لهذه الأدوات + +215 +00:24:32,030 --> 00:24:38,690 +الموسيقية ذات صوت جميل + +216 +00:24:38,690 --> 00:24:47,970 +ورائع ولذلك حُذِفت صفة الصوت في السياقالسياق يشير + +217 +00:24:47,970 --> 00:24:54,710 +إلى أن هناك معناً باقيًا مع أن اللفظ المحذوف ذات + +218 +00:24:54,710 --> 00:25:00,730 +صوت جميل رائعًا فوق .. يعني لا يمكن التعبير عنه + +219 +00:25:00,730 --> 00:25:09,270 +ولذلك حذف الصفة صفة هذا الصوت والسياق له سلطة على + +220 +00:25:09,270 --> 00:25:17,570 +النص سلطة في أنه يعطي دلالاتكما هنا فقد أعطى للصوت + +221 +00:25:17,570 --> 00:25:25,770 +دلالة و صفة وهو أنه صوت رائع جميل فوق الوصف ولذلك + +222 +00:25:25,770 --> 00:25:33,470 +حذفناه لأن السياق له سلطة في الدلالة سلطة في + +223 +00:25:33,470 --> 00:25:42,940 +الدنيا الصرفية سلطة أيضا في العلن النحوية أيضاكما + +224 +00:25:42,940 --> 00:25:47,680 +نرى في قوله تعالى وأنفقوا مما رزقناكم من قبل أن + +225 +00:25:47,680 --> 00:25:53,320 +يأتي أحداكم الموت فيقول رب لو لا أخرتني إلى أجل + +226 +00:25:53,320 --> 00:26:01,100 +قريب فأصدق وأكون من الصالحين فقد جذب أكن مع أنه لم + +227 +00:26:01,100 --> 00:26:07,810 +تصبح بجاذب ذلك أن الصياق له سلطةهذا المقصد بسلطة + +228 +00:26:07,810 --> 00:26:13,850 +إيه السياط ذات صوت تهزه كيف شاءت مثل ما هز الصبا و + +229 +00:26:13,850 --> 00:26:20,570 +هو ريحه الشمال غصن البان نوع من الشجر تكون أغصانه + +230 +00:26:20,570 --> 00:26:29,430 +طويلة يتميل مع الهواء فيزداد جمالا و روعةأيضًا + +231 +00:26:29,430 --> 00:26:37,130 +الشاعر العباسي لم يقف عند وصف الناقة بل أدخل وسيلة + +232 +00:26:37,130 --> 00:26:47,030 +أخرى في رحلته إلى الممدوح وهي السفينة ويريد هنا أن + +233 +00:26:47,030 --> 00:26:52,310 +ينقل إلى الممدوح صفة الإرادة القوية فقد جئتك + +234 +00:26:52,310 --> 00:27:04,610 +بركوبة أو بوسيلة من القوةما هو أقوى من الناقة فقال + +235 +00:27:04,610 --> 00:27:13,910 +بشار يمدح المهدي وعذراء تجري بلحموعذراء لا تجري + +236 +00:27:13,910 --> 00:27:22,090 +بلحم ولا دم قليلة شك والأين ملجمة الدبري إذا ضعنت + +237 +00:27:22,090 --> 00:27:27,950 +فيها الفلول وتشخصت بفرسانها لا في وعوث ولا وعري + +238 +00:27:27,950 --> 00:27:33,970 +تلاعب تيار البحور وربما رأيت نفوس القوم في جريها + +239 +00:27:33,970 --> 00:27:44,820 +تجري هذه الوسيلة أقوى من الناقةوكأنه يريد في تحريك + +240 +00:27:44,820 --> 00:27:52,620 +الطاقة الإيجابية عند الممدوح أن يستعمل قيمة خلقية + +241 +00:27:52,620 --> 00:27:58,400 +وهي الإرادة القوية في الذهاب إلى الممدوح فلقد ركبت + +242 +00:27:58,400 --> 00:28:08,980 +إليك مركبا متطورا متحضرا قويا لا يشكو التعبولا + +243 +00:28:08,980 --> 00:28:15,560 +يتضرر في رحلته كمنّاقة وهذا معنى أيضًا جميل أن + +244 +00:28:15,560 --> 00:28:19,640 +يذهب إلى المملوح بالإرادة الصادقة إذًا الشاعر + +245 +00:28:19,640 --> 00:28:24,380 +العباسي استعمل وسائل كثيرة لتحريك الطاقة لإيجابية + +246 +00:28:24,380 --> 00:28:29,920 +عند المملوح إما بصدق الإرادة أو بالإرادة القوية أو + +247 +00:28:29,920 --> 00:28:35,700 +بالصبر كما رأينا في السياقات أو الأبيات والنماذج + +248 +00:28:35,700 --> 00:28:36,380 +السابقة + +249 +00:28:39,460 --> 00:28:46,340 +ومعنى عذراء يعني إيه لا تحمل ولا تلد والشك والأين + +250 +00:28:46,340 --> 00:28:50,640 +الأين اللي هو يعني إيه التعب إذا ضعنت فيها الفلول + +251 +00:28:50,640 --> 00:28:55,600 +إذا سافرت فيها الجماعات المتنوعة + +252 +00:28:56,960 --> 00:29:03,400 +أما بالقومية والجنس أو بالمهنة ونحو ذلك الفلول + +253 +00:29:03,400 --> 00:29:10,620 +يعني من المزارعين والتجار والصناع أو من العجم + +254 +00:29:10,620 --> 00:29:16,040 +والعربي والبربر وغير ذلك إذا ضعنت فيها الفلول يعني + +255 +00:29:16,040 --> 00:29:20,420 +إذا سافرت فيها الفلول الجامعات تشخصت يعني وقفت + +256 +00:29:20,420 --> 00:29:28,110 +تشخصة بفرسانها الذين يقودونهافالراكب في السفينة + +257 +00:29:28,110 --> 00:29:32,830 +ليس كالراكب على الناقة الذي يتحرك بحركة الناقة + +258 +00:29:32,830 --> 00:29:40,810 +فيميل إلى الأمام والخلف لكنه في السفينة يكون شاخصا + +259 +00:29:40,810 --> 00:29:52,010 +لا يتأثر كما في الناقة يتأثر بمن ارتفع من الأرض أو + +260 +00:29:52,010 --> 00:30:02,530 +من خفض أو معوج منهاو الحركة بين السفينة و الأمواج + +261 +00:30:02,530 --> 00:30:11,230 +حركة تلاعب و ملاعبة فقال يعني هنا طبعا هنا في + +262 +00:30:11,230 --> 00:30:16,230 +أنسنة بمعنى أنه عمق المعنى الإنساني في علاقة + +263 +00:30:16,230 --> 00:30:23,620 +السفينة بالبحر فقال تلاعب تيار البحوريوربما رأيت + +264 +00:30:23,620 --> 00:30:29,440 +نفوس القوم من جريها تدري فكلمة تلاعب من الأفعال + +265 +00:30:29,440 --> 00:30:35,320 +المشاركة طبعا هذا دليل عليه يعني ما يدل عليه أن + +266 +00:30:35,320 --> 00:30:44,460 +الشاعر لأنسن العلاقة بين السفينة والبحر من التجديد + +267 +00:30:44,460 --> 00:30:52,060 +أيضاالتوسع في وصف الخمر في مقدمات القصائد كما + +268 +00:30:52,060 --> 00:31:00,280 +رأينا عند أبن واس ومسلم بن وليل وغيرهما أيضًا من + +269 +00:31:00,280 --> 00:31:07,920 +الظواهر التجديد في القصيدة العباسية أننا وجدنا أن + +270 +00:31:07,920 --> 00:31:14,160 +الشعراء يعززون المقدمة بالرؤى + +271 +00:31:15,280 --> 00:31:21,900 +وأفكار ووجهات نظرة وتجارب أيضًا فمثلًا يقول أبو + +272 +00:31:21,900 --> 00:31:29,040 +تمام في فضل المحسود ونقص الحسود في مقدمة القصيدة + +273 +00:31:29,040 --> 00:31:35,500 +طبعًا هذه رؤية وإذا أراد الله نشر فضيلة طوية أتاح + +274 +00:31:35,500 --> 00:31:41,040 +لها لسان حسوده لو لا اشتعال النار فيما جاورت ما + +275 +00:31:41,040 --> 00:31:47,080 +كان يعرف طيب عرف العودىيعني إذا أراد الله أن ينشر + +276 +00:31:47,080 --> 00:31:54,890 +فضيلة قد تنسيت أو نساها الناسهي لها لسان إنسان + +277 +00:31:54,890 --> 00:32:00,690 +حاسد فالإنسان الحاسد أو الحسود يكرر ذكر النعمة + +278 +00:32:00,690 --> 00:32:06,850 +التي نعمها الله على عبد من عباده على سبيل الحسد + +279 +00:32:06,850 --> 00:32:15,990 +ولكن تأثيرها يكون على جهة أخرى وهي الشهرة فهو يريد + +280 +00:32:15,990 --> 00:32:22,110 +الحسد ولكن الله يريد غير ذلك فيشهر هذا المحسود + +281 +00:32:25,740 --> 00:32:32,420 +وهذا يشبه يعني طبعا هذا التشبيه ضمنه لو لا اشتعال + +282 +00:32:32,420 --> 00:32:37,780 +النار في مجاورات ما كان يعرف طيبه عرف العودي وهذا + +283 +00:32:37,780 --> 00:32:44,740 +يشبه اشتعال النار في العود فالعود وهو من الأخشاب + +284 +00:32:44,740 --> 00:32:52,230 +طيبة رائحة لا يعرفوالا تعرف قيمته إلا من خلال + +285 +00:32:52,230 --> 00:32:59,450 +الإحراق فالإحراق يؤدي إلى تحويل هذا العود إلى دخان + +286 +00:32:59,450 --> 00:33:04,930 +وهذا الدخان له رائحة مميزة فإذا كان جيدا عرف من + +287 +00:33:04,930 --> 00:33:12,250 +رائحته فيقيم بناء على رائحته المنبثقة من الدخان + +288 +00:33:12,250 --> 00:33:18,250 +الذي انبثق أيضا من اشتعال النار بهذا العودوربما + +289 +00:33:18,250 --> 00:33:24,830 +وجدنا الشاعر أيضا في يعني يبرز في مقدمة قصيدة + +290 +00:33:24,830 --> 00:33:33,390 +المدح بعض تجاربه أو تجربة خاصة كما في قول أبي تمام + +291 +00:33:33,390 --> 00:33:43,070 +عندما يعني رحل إلى الممدوح عبدالله ابن طاهر قال في + +292 +00:33:43,070 --> 00:33:48,580 +مقدمة القصيدة طبعا هذه المقدمة فيها تجربةتجيب خاصة + +293 +00:33:48,580 --> 00:33:55,520 +فقال عاذلتي ما أخشن الليل مركبا وأخشن منه في + +294 +00:33:55,520 --> 00:34:01,220 +الملمات راكبه ذريني وأهوال الزمان أفانها فأهواله + +295 +00:34:01,220 --> 00:34:06,400 +العظمة تليها رغائبه ألم تعلمني أن الزماعة على + +296 +00:34:06,400 --> 00:34:12,440 +الصرا أخ النجحي عند النائبات وصاحبه دعيني على + +297 +00:34:12,440 --> 00:34:19,790 +أخلاق الصمللتي هي الوفر أو سرب ترن نوادبه فإن + +298 +00:34:19,790 --> 00:34:26,510 +الحسام الهندوانية إنما خشونته ما لم تفل المضارب + +299 +00:34:26,510 --> 00:34:31,950 +عادلتي وطبعا الهمد هنا للنداء القريب الخاطب إيه + +300 +00:34:31,950 --> 00:34:40,360 +صاحبتهالتي تلومه كثيرًا لأن من عادة الصاحبة أو + +301 +00:34:40,360 --> 00:34:46,360 +الزوجة الإكثار من اللوم فلذلك استعمل اسم الفاعل + +302 +00:34:46,360 --> 00:34:53,040 +عازلتي فاسم الفاعل أثبت من الفعل فلم يقول يا من + +303 +00:34:53,040 --> 00:34:59,080 +تعذلنيما أخشن الليل هي تعجب من خشونة الليل وصعوبة + +304 +00:34:59,080 --> 00:35:07,480 +السير فيه لأن الليل يغطي المجهول وإذا كان المجهول + +305 +00:35:07,480 --> 00:35:14,140 +غير معلوم فإن هذا يزيد من شدة الخوف عند السائر في + +306 +00:35:14,140 --> 00:35:21,600 +الليل ولكن الذي هو أكثر خشونة منه هو من يركب الليل + +307 +00:35:22,790 --> 00:35:28,610 +يعني الليل خشن لكن اللي أخشن من الليل هو أيه من + +308 +00:35:28,610 --> 00:35:35,950 +يركبه وكذلك عندما نقول مثلا يركب الأسدفالأسد فيه + +309 +00:35:35,950 --> 00:35:40,570 +رمز شجاع والأشجع من الأسد الذي هو فوق الأسد لأن + +310 +00:35:40,570 --> 00:35:46,610 +الذي فوق الأسد إنما يستذل الأسد وهكذا ايه من يركب + +311 +00:35:46,610 --> 00:35:54,970 +الليل يستذل الليل ويستسهل الليل داريني داريني + +312 +00:35:54,970 --> 00:36:00,990 +وأهوال الزمان أفانها داريني أتركينيطبعاً في فرق + +313 +00:36:00,990 --> 00:36:09,010 +بين ذريني ودعيني طبعاً إذا استمعتاه إذا افترقتاه + +314 +00:36:09,010 --> 00:36:14,730 +فذريني تختلف عن دعيني ذريني تكون إيه للأشخاص + +315 +00:36:14,730 --> 00:36:20,470 +ودعيني تكون إيه للأفعال والصفات كما قال تعالى ذرني + +316 +00:36:20,470 --> 00:36:29,570 +ومن يكذب بهذا الدين وقوله تعالىفدع أذاهم وتوكل على + +317 +00:36:29,570 --> 00:36:34,330 +الله أعذريني و أهوال و الواو هنا طبعا واو المعية + +318 +00:36:34,330 --> 00:36:39,330 +لأنه طبعا هو ياخد صراع أعذريني يعني اتركيني أخد + +319 +00:36:39,330 --> 00:36:47,870 +صراع مع الزمن و طبعا الصراع هنا صراع المبادئ لأن + +320 +00:36:47,870 --> 00:36:55,130 +الصراع المبادئ يكون ثنائي إما كذا و إما كذا فقط + +321 +00:36:56,330 --> 00:37:05,070 +بخلاف صراع سياسي فله ايه؟ له يعني أحوال كثيرة وله + +322 +00:37:05,070 --> 00:37:12,210 +نتائج كثيرة وله خيارات كثيرة أما صراع المبادئ إما + +323 +00:37:12,210 --> 00:37:18,830 +نعم وإما لا بذلك قال ذريني وأهوال الزمان أوفانها + +324 +00:37:18,830 --> 00:37:25,400 +يعني أقضي عليها أو تقضي عليهاوطبعا التحليل النهائي + +325 +00:37:25,400 --> 00:37:30,760 +للأخلاق هو التضحية أما التحليل النهائي للسياسة فهي + +326 +00:37:30,760 --> 00:37:38,260 +المصلحة إذا هنا خوض صراع مع المبادئ لأن هناك يقين + +327 +00:37:38,260 --> 00:37:45,940 +لدى الشاعر أو أن الشاعر يعني مسكون بعقيدة اليقين + +328 +00:37:45,940 --> 00:37:53,760 +من أن وراء هذا العصري يُصلفوراء هذه المصائب رغائب + +329 +00:37:53,760 --> 00:38:02,280 +فلذلك قال ودخل طبعا هذا الصراع الذي هو أمام خيارين + +330 +00:38:02,280 --> 00:38:06,540 +إما أن يقضي على الزمن وإما أن يقضي عليه الزمن فقال + +331 +00:38:06,540 --> 00:38:10,940 +ذريني وأهوال الزمان أفانها فأهواله العظمة تليها + +332 +00:38:10,940 --> 00:38:18,930 +رغائبه لم تعلموا وطبعا هي يردها إلى حقيقة قد جرتفي + +333 +00:38:18,930 --> 00:38:25,310 +السلوك والأخلاق وحياة الناس وقال ألم تعلمي يذكرها + +334 +00:38:25,310 --> 00:38:30,070 +بحقيقة ربما غابت عليها ألم تعلمي أن الزماع على + +335 +00:38:30,070 --> 00:38:35,290 +الصورة أخ النجحي والزماع هو بمعنى العزيمة على + +336 +00:38:35,290 --> 00:38:43,370 +السفر ليلةوطبعاً الصرا هذه الكلمة دائما يعني + +337 +00:38:43,370 --> 00:38:51,950 +مرتبطة بتجربة صدق الإرادة وروح المبادرة لأن التحرك + +338 +00:38:51,950 --> 00:38:57,170 +ليلا إنما يعبر عن الإرادة الصادقة ألم تعلم أن + +339 +00:38:57,170 --> 00:39:01,890 +الزماعة على الصرا يعني الإرادة الصلبة الزماعة + +340 +00:39:01,890 --> 00:39:06,770 +العظيمةلكن عندما طبعا في فرق بين العزيمة والإرادة + +341 +00:39:06,770 --> 00:39:13,170 +لأن العزيمة عمل قلبي والإرادة عمل قلبي يدخل في + +342 +00:39:13,170 --> 00:39:18,790 +السلوك يعني دخل منه إيه شيء في السلوك كما تقول + +343 +00:39:18,790 --> 00:39:26,290 +أردت أن آتي إلى المحاضرة مبكرا فركبت الحافلة وعند + +344 +00:39:26,290 --> 00:39:34,970 +منطقتي كذا أحدثت أو وقعت في حادث مافركوبك في + +345 +00:39:34,970 --> 00:39:40,910 +الحافلة حول العزيمة إلى إرادة لم تعلم أن الزماع + +346 +00:39:40,910 --> 00:39:48,050 +على الصرا أن العزيمة هي أخ النجاح عند النائبات عند + +347 +00:39:48,050 --> 00:39:53,930 +المصائب وصاحبة إيه النجاح وكانه يريد أن يقول إن + +348 +00:39:53,930 --> 00:40:01,040 +النجاح لا يتحقق إلا بإرادة النجاحالنجاح لا يكون + +349 +00:40:01,040 --> 00:40:06,980 +إلا بإرادتي النجاح ألم تعلمي أن الزماع على الصرا + +350 +00:40:06,980 --> 00:40:11,720 +أخ النجحي عند النائباتي وصاحبهم دعيني على أخلاقي + +351 +00:40:11,720 --> 00:40:21,520 +مدام أن أنا قُط صراعا وهذا الصراع معلوم معالمه + +352 +00:40:21,520 --> 00:40:26,700 +معلومة ونتائجه مرسومة + +353 +00:40:27,670 --> 00:40:32,430 +فاتركيني على أخلاقي على مبادئي أخلاق الصم يعني + +354 +00:40:32,430 --> 00:40:38,950 +مبادئي المبادئ وليست المصالح تعيني على أخلاق الصم + +355 +00:40:38,950 --> 00:40:47,270 +لأن المبادئ خيارتها محدودة إما بنعم أو لا إما حياة + +356 +00:40:47,270 --> 00:40:53,510 +كريمة أو موت كريم تعيني على أخلاق الصم للتي هي + +357 +00:40:53,510 --> 00:41:01,100 +الوفر الغنى أو الحياة الكريمةأو سربٌ سب جماعة من + +358 +00:41:01,100 --> 00:41:07,400 +النساء ترنوا نوادبه تلتفعوا أو يلتفعوا أصواتهن + +359 +00:41:07,400 --> 00:41:15,530 +بالندب يعني البكاء مع ذكر صفات وأفعال الميتيعني + +360 +00:41:15,530 --> 00:41:21,350 +حياة كريمة أو موت كريم فيه الصفات وأفعال البطولة + +361 +00:41:21,350 --> 00:41:27,630 +التي واجهها هذا الميت فإن الحسامة الهندوانية إنما + +362 +00:41:27,630 --> 00:41:35,770 +خشونته ما لم تفل المضاربه لا يكون الحسام حساما إلا + +363 +00:41:35,770 --> 00:41:43,750 +إذا كانت مضاربه سليمةلا يكون الحسام حسام إلا إذا + +364 +00:41:43,750 --> 00:41:56,510 +كان ماضيا فالحسام قيمته في مضربه في حدته في قدرته + +365 +00:41:56,510 --> 00:42:00,870 +على القطر هذا و بالله التوفيق و صلى اللهم على + +366 +00:42:00,870 --> 00:42:05,890 +سيدنا محمد و على آله و صحبه وسلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/aRiMKrO9Hsg_raw.json b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/aRiMKrO9Hsg_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..9ba7ac9abbac012366226adf89b3f1b6970769c3 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/aRiMKrO9Hsg_raw.json @@ -0,0 +1 @@ +{"segments": 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أو هذا الحب بهذه الأقسام الثلاثة إنما يدل على ارتقاء العقل العربي ومصوله إلى درجات متقدمة في التفكير", "tokens": [40228, 22653, 9673, 26895, 27188, 9566, 16572, 36764, 24401, 25124, 1829, 38207, 16712, 7649, 1829, 31767, 5172, 9307, 25724, 2304, 26895, 3660, 9673, 29245, 23328, 3660, 8978, 4117, 1829, 16070, 8592, 1829, 38207, 16712, 6027, 2655, 12174, 32640, 3660, 25724, 2304, 6027, 6055, 1211, 2655, 5551, 8592, 1829, 16606, 34683, 4587, 3794, 32640, 25724, 2304, 6027, 34051, 23758, 21542, 3555, 39627, 24192, 16247, 4587, 3794, 10943, 6024, 104, 1211, 5718, 104, 3660, 36145, 15042, 7251, 3215, 1211, 15844, 1975, 43500, 4587, 16606, 18863, 4587, 1211, 18863, 2288, 21292, 4032, 2304, 9381, 12610, 3224, 30731, 11778, 47341, 9307, 44650, 28543, 46007, 8978, 16712, 5172, 4117, 13546], "avg_logprob": -0.0936025915280828, "compression_ratio": 1.994949494949495, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 922.49, "end": 922.83, "word": "يعني", "probability": 0.943603515625}, 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00:00:22,160 +موضوع هذه المحاضرة هو قصيدة الذهنذكرنا فيما سبق في + +4 +00:00:22,160 --> 00:00:27,320 +الجوانب الثقافية والاجتماعية أن حركة الذهد قد + +5 +00:00:27,320 --> 00:00:35,260 +انتشرت انتشارا واسعا في حياة العامة وإذا كان أبو + +6 +00:00:35,260 --> 00:00:41,760 +الفرج الأستثناني قد أفاض في كتابه الأغاني في ذكر + +7 +00:00:41,760 --> 00:00:49,460 +أهل المجونوأصحاب الله فإن كتب الطبقات التي ترجمت + +8 +00:00:49,460 --> 00:00:56,860 +للفقهاء والمحدثين أفاضت بأخبار كثيرة عن العبادي + +9 +00:00:56,860 --> 00:01:04,260 +والزهد ما هو الزهد؟ الزهد في تعريف بسيط هو ترك + +10 +00:01:04,260 --> 00:01:12,220 +المباح أو ترك شيء من المباح مخافة الوقوع في الحرام + +11 +00:01:12,220 --> 00:01:14,120 +فالزاهد + +12 +00:01:16,040 --> 00:01:21,180 +هو درجة أعلى من الإنسان المسلم العادى لأنه يترك + +13 +00:01:21,180 --> 00:01:29,520 +شيئا من الحلال أو المباح خشة أن يقع في الحرام انه + +14 +00:01:29,520 --> 00:01:39,420 +يجعل بين الحلال والحرام مساحة كبيرة حتى يسلم بنفسه + +15 +00:01:39,420 --> 00:01:45,290 +من أن يقع في الحراموتقوم فلسفة الذهبي على أمرين + +16 +00:01:45,290 --> 00:01:51,210 +تهذيب الرغبة الإنسانية في حب البقاء من خلال + +17 +00:01:51,210 --> 00:01:57,590 +التأكيد على حقيقة الموت وحقيقة الفناء التي ستلحق + +18 +00:01:57,590 --> 00:02:03,090 +بالإنسان والأمر الثاني تهذيب الرغبة الإنسانية في + +19 +00:02:03,090 --> 00:02:10,110 +حب التملك من خلال التأكيد على خلق القناعة والرضا + +20 +00:02:10,110 --> 00:02:10,650 +بالقليل + +21 +00:02:14,370 --> 00:02:20,550 +ففي المعنى الأول وهو التأكيد على حقيقة الموت + +22 +00:02:20,550 --> 00:02:30,750 +والفناء نجد أن الشعراء قد أفاضوا في ذلك واستعملوا + +23 +00:02:30,750 --> 00:02:39,880 +أساليب كثيرة لتعميق هذه الحقيقةلتولّد موقف الذهب + +24 +00:02:39,880 --> 00:02:50,160 +عند الإنسان فمن ذلك مثلا قول أبن واث في التأكيد + +25 +00:02:50,160 --> 00:02:56,900 +على هذه الحقيقة قوله ألا رب وجه في التراب عتيقي + +26 +00:02:56,900 --> 00:03:04,800 +ويا رب حسن في التراب رقيقيفقل لقريب الدار إنك راحل + +27 +00:03:04,800 --> 00:03:14,660 +إلى منزل نائي المحل سحيقي وما ناسه إلا هالق وابن + +28 +00:03:14,660 --> 00:03:20,660 +هالك وذو نسب في الهالكين عريقي إذا امتحنت دنيا + +29 +00:03:20,660 --> 00:03:28,460 +لبيب تكشفت له عن عدو في ثياب صديقيالشاعر هنا + +30 +00:03:28,460 --> 00:03:37,700 +استعمل إمكانات لغوية وأسلوبية وصور لتعميق هذه + +31 +00:03:37,700 --> 00:03:43,120 +الحقيقة لتشكل + +32 +00:03:43,120 --> 00:03:50,700 +موقفا عند المتلقي فالموت لا يراعي كبيرا لكبره ولا + +33 +00:03:50,700 --> 00:03:58,290 +صغيرا لصغره ففي القبور من هم كبار في السنعتيق + +34 +00:03:58,290 --> 00:04:06,890 +ومنهم من هم صغار سن يعلهم الحُسن والرقّة كالأطفال + +35 +00:04:06,890 --> 00:04:14,830 +والشباب والفتيان فالموت لا يراعي كبيرا لكبريه ولا + +36 +00:04:14,830 --> 00:04:24,090 +صغيرا لصغره وهنا تعميق لهذه الحقيقة فقول لقريب + +37 +00:04:24,090 --> 00:04:30,580 +الدار إنك راحلومن هو قريب الدار هو الإنسان الحي + +38 +00:04:30,580 --> 00:04:37,160 +فهو وإن كان في الحياة فهو قريب إلى الموت وقد رأينا + +39 +00:04:37,160 --> 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في حبه البقاء فإن + +51 +00:06:17,800 --> 00:06:24,800 +هذا الإنسانسيرحل إلى شك ولذلك استعمل اسم الفاعل + +52 +00:06:24,800 --> 00:06:31,000 +راحل بمعنى سيرحل واسم الفاعل أقوى من الفعل في + +53 +00:06:31,000 --> 00:06:38,850 +الدلالة على الوقوعلأن الفعل مرتبط بالزمن بالمتغير + +54 +00:06:38,850 --> 00:06:46,750 +وأما راحل فالفعل مرتبط بالذات فلذلك اسم الفاعل + +55 +00:06:46,750 --> 00:06:55,030 +أثبت من الفعل في الدلالة على الحدث أي أنه سيرحل + +56 +00:06:55,030 --> 00:07:04,740 +شاء من شاء وأبى من أبى إلى منزل وهذا المنزلله صورة + +57 +00:07:04,740 --> 00:07:11,520 +مخيفة فهو بعيد عن العمران ناء المحل بعيد عن + +58 +00:07:11,520 --> 00:07:18,580 +المدينة والقرية إنه على أطراف المدن أو القرى وهو + +59 +00:07:18,580 --> 00:07:23,260 +في نفس الوقت أيضًا هذا المكان الذي سيرده الإنسان + +60 +00:07:23,260 --> 00:07:30,840 +سحيق يعني عميق في الأرض إنه استغراق زمني للبعد + +61 +00:07:30,840 --> 00:07:37,690 +الأفقي والبعد الرأسيثم إنه أيضًا وتعميقًا لهذه + +62 +00:07:37,690 --> 00:07:46,030 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للإنسان + +74 +00:09:13,140 --> 00:09:23,720 +لأنها تغُره وتحريفه عن منظومة القيم والأخلاقأما + +75 +00:09:23,720 --> 00:09:29,760 +النقطة الثانية فيما يتعلق بتهذيب الرغبة الإنسانية + +76 +00:09:29,760 --> 00:09:38,440 +في حب التملك من خلال التأكيد على خلق القناعة + +77 +00:09:38,440 --> 00:09:46,050 +والرضا بالقليل ما قاله ابن حازم في ذلكأضرع إلى + +78 +00:09:46,050 --> 00:09:52,190 +الله، لا تضرع إلى الناس، واقنع بيأس، فإن العزة في + +79 +00:09:52,190 --> 00:09:57,850 +الياسي، واستغنى عن كل ذي قربه وذي رحمه، إن الغنية + +80 +00:09:57,850 --> 00:10:03,770 +من استغنى عن الناس أضرع إلى الله، إلجى إلى الله، + +81 +00:10:03,770 --> 00:10:11,960 +لأنه هو الغني، وهو الذي يملك كل شيءلا تضرع إلى + +82 +00:10:11,960 --> 00:10:19,180 +الناس لأنهم يفتقرون إلى غيرهم يفتقرون إلى الله + +83 +00:10:19,180 --> 00:10:25,140 +سبحانه وتعالى و اقنع بيأس من الناس و اقنع بيأس + +84 +00:10:25,140 --> 00:10:33,160 +يعني بيأس من الناس فإن العزة في اليأس من الناسطبعا + +85 +00:10:33,160 --> 00:10:40,800 +هنا فيه إجاز بالحذر بيأسا فالتنوين هنا يفيد إلى أن + +86 +00:10:40,800 --> 00:10:49,740 +هناك شيئا محروفا وهو من الناس والبيت + +87 +00:10:49,740 --> 00:11:00,240 +الثاني يبين أنه على الإنسان أن يقنع بما لديه فهو + +88 +00:11:00,240 --> 00:11:07,230 +غنيإذا استغنى عن الناس، واستغنى عن كل ذي قرب وذي + +89 +00:11:07,230 --> 00:11:13,160 +رحم، إن الغنية من استغنى عن الناسفعلامة الغنى + +90 +00:11:13,160 --> 00:11:20,040 +الحقيقي هو أن يستغن الإنسان عن غيره ويكتفي بما + +91 +00:11:20,040 --> 00:11:31,000 +لديه فيقنع بما في نفسه وكأن القناعة أو الغنى هي + +92 +00:11:31,000 --> 00:11:39,810 +شيء يصنعه الإنسانالقناعة والغنى والفقر والغنى في + +93 +00:11:39,810 --> 00:11:46,750 +الشعر الذهدي هو صناعة ذاتية فالإنسان يكون غنيا + +94 +00:11:46,750 --> 00:11:54,530 +بغنى النفس ويكون فقيرا إذا احتاج إلى غيره من الناس + +95 +00:11:57,150 --> 00:12:05,750 +وهكذا نجد أن شعراء الزهد قد وضعوا نظرية للزهد + +96 +00:12:05,750 --> 00:12:12,150 +تقوموا على تهذيب الرغبة الإنسانية في حب التملك من + +97 +00:12:12,150 --> 00:12:16,970 +خلال تأكيد على خلق القناعة وتهذيب الرغبة الإنسانية + +98 +00:12:16,970 --> 00:12:23,270 +في حب البقاء من خلال تأكيد على حقيقة الموتولذلك + +99 +00:12:23,270 --> 00:12:29,570 +وجدنا يعني كثيرا من الأشعار التي كان يعجب بها + +100 +00:12:29,570 --> 00:12:38,970 +العباد والزهاد والتي تحثوا على هذه المعنيينفمثلًا + +101 +00:12:38,970 --> 00:12:46,490 +نرى صالح المري كثيرًا ما ينشد قول الشاعر وطبعًا + +102 +00:12:46,490 --> 00:12:52,870 +هذه الكثرة الإنشاد دليل على الإعجاب بهذا البيت + +103 +00:12:52,870 --> 00:13:00,110 +فقال قال الشاعر فبات يروي أصول الفسيلة فعاش + +104 +00:13:00,110 --> 00:13:07,790 +الفسيلة ومات الرجلوطبعا هذا البيت كثير ما يتردد + +105 +00:13:07,790 --> 00:13:14,910 +عنده الزهاد و العباد لأنه يعمق حقيقة الموت و + +106 +00:13:14,910 --> 00:13:20,670 +الفناء كأنه يقول للإنسان عليك أن لا تركن إلى + +107 +00:13:20,670 --> 00:13:28,430 +الدنيا لأنها ستفاجئك بهذه الحقيقة و هي حقيقة الموت + +108 +00:13:28,430 --> 00:13:31,150 +أيضا + +109 +00:13:33,290 --> 00:13:42,110 +وجدنا أن لغة شعراء الذهد كانت بسيطة لكنها عميقة + +110 +00:13:42,110 --> 00:13:50,070 +وسر جمال هذه اللغة مع أنها بسيطة أنها مرتبطة + +111 +00:13:50,070 --> 00:13:57,090 +بالتجهبة بتجهبة الذهد فاللغة وإن كانت أقصر لغة شعر + +112 +00:13:57,090 --> 00:14:03,140 +الذهد وإن كانت بسيطةو سهلة لكنها عميقة في الدلالة + +113 +00:14:03,140 --> 00:14:12,680 +لماذا؟ لأنها مرتبطة بالتجربة وهنا تظهر جمال لغة + +114 +00:14:12,680 --> 00:14:19,160 +الشعرفجمالها، جمال اللغة الشعرية في الذهد، لا يرجع + +115 +00:14:19,160 --> 00:14:24,940 +إلى اللغة نفسها، وإنما يرجع إلى كونها مرتبطة + +116 +00:14:24,940 --> 00:14:31,240 +بالتجربة، تجربة الذهد، طبعا أعمق ما في التجربة هي + +117 +00:14:31,240 --> 00:14:37,150 +حقيقة الموتثم اللي هي المنظومة الأخلاقية المتمثلة + +118 +00:14:37,150 --> 00:14:44,810 +في القناعة والرضا بالقليل ويعني + +119 +00:14:44,810 --> 00:14:52,630 +من ذلك أيضًا هناك أبيات كانت يعني كما قيل كان مالك + +120 +00:14:52,630 --> 00:14:57,940 +ابن دينار كثيرًا ما يتذكر الموتوتخنقه العبرات + +121 +00:14:57,940 --> 00:15:06,560 +لتذكره لهذه الحقيقة فقال أتيت القبورة فناديتهن أين + +122 +00:15:06,560 --> 00:15:14,160 +المعظم والمحتقر وأين المذل بسلطانه وأين المزكى إذا + +123 +00:15:14,160 --> 00:15:20,180 +مفتخر تفانوا جميعا فما مخبر وماتوا جميعا ومات + +124 +00:15:20,180 --> 00:15:25,240 +الخبرتروح وتخضوا بنات الثرى، فتمحوا محاسن تلك + +125 +00:15:25,240 --> 00:15:31,180 +الصور، فياسائلي عنق ناس مضوا، أما لك فيما ترا + +126 +00:15:31,180 --> 00:15:39,020 +معتبر؟ إذن وجدنا إن شعر الذهد في مجمله يعني يركز + +127 +00:15:39,020 --> 00:15:45,140 +على هاتين النقطتين، هو التأكيد على حقيقة الموت، + +128 +00:15:45,880 --> 00:15:52,160 +الشيء التاني تأكيد على خلق القناعة و الرضا بالقليل + +129 +00:15:52,160 --> 00:16:03,660 +فعبّروا في ذلك عن فلسفة و رؤية و تجربة و تربية + +130 +00:16:03,660 --> 00:16:14,200 +تجاه هذه الحقائق فقال مثلا ابن ياسير محمد ابن + +131 +00:16:14,200 --> 00:16:24,730 +ياسيرفي التعبير عن إيه تجربته اتجاه إيه الموت فقال + +132 +00:16:24,730 --> 00:16:31,470 +ويل لمن لم يرحم الله ومن تكون النار مسواه وغفلة في + +133 +00:16:31,470 --> 00:16:38,720 +كل يوم مضى يذكرني الموت وأنساهمن طال في الدنيا به + +134 +00:16:38,720 --> 00:16:45,420 +أمره وعاش فالموت قصاراه كأنه قد قيل في مجلس قد كنت + +135 +00:16:45,420 --> 00:16:53,440 +آتيه وأغشاهمحمد صار إلى ربه يرحمنا الله وإياه وكما + +136 +00:16:53,440 --> 00:16:59,440 +قلت من قبل هنا يظهر التشبيه كأنه طبعا كأن أداة + +137 +00:16:59,440 --> 00:17:07,900 +التشبيه هو المشبه والمشبه به طبعا تشبيه تمثيلي شبه + +138 +00:17:07,900 --> 00:17:15,400 +حالة بحالةيعني مشبه حالة محمد في حياته بحالة محمد + +139 +00:17:15,400 --> 00:17:24,260 +بعد الموت يعني شبه حياته بموته فالعلاقة بين المشبه + +140 +00:17:24,260 --> 00:17:28,660 +والمشبه بيها علاقة صفرية صفر وهذا طبعا التعميق + +141 +00:17:28,660 --> 00:17:34,320 +لحقيقة الموت أن تكون الحياة كالموت + +142 +00:17:36,830 --> 00:17:43,030 +طبعا في نهاية هذا العصر بدأت تباشير التصوف تطلع + +143 +00:17:43,030 --> 00:17:49,930 +على هذا العصر وكما قلنا في قصيدة الغزل العفيف أنها + +144 +00:17:49,930 --> 00:17:56,850 +كانت تمهيدا أو كانت عونا لقصيدة + +145 +00:17:56,850 --> 00:18:08,450 +الذهد نلحظ ذلك في هذا النموذج لرابعة العدويةوهي + +146 +00:18:08,450 --> 00:18:13,870 +كأنها مستفيدة من أبيات سابقة في الغذل العفيف لآدم + +147 +00:18:13,870 --> 00:18:24,730 +حفيد عمر ابن عبدالعزيز تقول وحبك حبين حب الهوى وحب + +148 +00:18:24,730 --> 00:18:30,660 +لأنك أهل لذاكفأما الذي هو حب الهوى فشغلي بذكرك عما + +149 +00:18:30,660 --> 00:18:36,940 +سواك وأما الذي أنت أهل له فكشفك لي الحجب حتى أراك + +150 +00:18:36,940 --> 00:18:43,960 +فلا الحمد في ذا ولا ذاك ليه ولكن لك الحمد في ذا + +151 +00:18:43,960 --> 00:18:52,920 +وذاك طبعا هناك التقاء بين أبيات رابعة العدوية + +152 +00:18:52,920 --> 00:18:58,950 +وأبيات آدمأبن عبد العزيز في أنه يعني فرعي الحب إلى + +153 +00:18:58,950 --> 00:19:07,290 +فروع هنا طبعا تفادع الحب إلى فرعين حب الهوى يعني + +154 +00:19:07,290 --> 00:19:14,010 +الحب الفطري فإذا كان أدل ابن عبد العزيز قد انطلق + +155 +00:19:14,010 --> 00:19:18,190 +من نقطة الضعف الإنسانياللي هو الميل الفطري نحو + +156 +00:19:18,190 --> 00:19:26,390 +المرأة فإنها هنا تنطلق من الحب الفطري لله للخالق + +157 +00:19:26,390 --> 00:19:33,850 +إذ المعروف أن الإنسان فيه نقاط قوة ونقاط ضعف منذ + +158 +00:19:33,850 --> 00:19:38,130 +الخلق الأول وكما يقول الله سبحانه وتعالى وخُلِق + +159 +00:19:38,130 --> 00:19:45,640 +الإنسان ضعيفاإذا النقطة ضعف ناسا في الميل نحو + +160 +00:19:45,640 --> 00:19:51,580 +الشهوات أما نقطة القوة فهي أنه أن الإنسان يعني + +161 +00:19:51,580 --> 00:19:56,640 +مفطور على الإسلام كما قال صلى الله عليه وسلم كل + +162 +00:19:56,640 --> 00:20:04,500 +مولود يولد على الفطرة فأبواه يهودانه أو يمجسانه + +163 +00:20:04,500 --> 00:20:11,900 +ولم يقل سلمانه لأن الإسلام دين الفطرةفانطلقت رابعة + +164 +00:20:11,900 --> 00:20:19,160 +من نقطة القوة وهي حب الله بينما آدم ابن عمرو بن + +165 +00:20:19,160 --> 00:20:23,160 +عبد العزيز انطلق من نقطة الضعف وهي الميل الفطري + +166 +00:20:23,160 --> 00:20:31,920 +نحو المرأة والأبيعات وإن بدت متشابهة لأن نقطة + +167 +00:20:31,920 --> 00:20:37,220 +الانطلاق كانت مختلفة فقد انطلقت رابعة من نقطة + +168 +00:20:37,220 --> 00:20:43,330 +القوة اللي هي الفطرةفطرة الله يعني إيه حب الله + +169 +00:20:43,330 --> 00:20:50,390 +وأما آدم فقد انطلق من نقطة الضعف وهو الميل الفطري + +170 +00:20:50,390 --> 00:20:57,810 +نحو المرأة فأما الذي هو حب الهوى فشغلي بذكرك عما + +171 +00:20:57,810 --> 00:21:06,150 +سواكيعني الحب الفطري يعني الفطرة السليمة أنها عندي + +172 +00:21:06,150 --> 00:21:14,790 +قد شغلت بذِكرك دون غيرك فكانت مخلصة لك دون غيرك + +173 +00:21:14,790 --> 00:21:21,150 +وأما الذي أنت أهل له وطبعا أنت تستحق هذا الحب لأنك + +174 +00:21:21,150 --> 00:21:29,980 +تكشف لي الحجب وأمور غيبيةفلا الحمد في ذا و لا ذاك + +175 +00:21:29,980 --> 00:21:35,720 +ليه ولكن لك الحمد في ذا و ذاك يعني لك الحمد في أنك + +176 +00:21:35,720 --> 00:21:42,380 +أوجدت في نفسي هذه الفطرة السليمة و هي حب الله و + +177 +00:21:42,380 --> 00:21:48,000 +ذاك أن لك أيه يعني لك أيه الصفات و الأسماء الحسنة + +178 +00:21:50,190 --> 00:21:58,010 +طبعا هناك مجموعة كثيرة من شعراء الذهد ولم يقف + +179 +00:21:58,010 --> 00:22:06,110 +الذهد عند الحديث على التأكيد على حقيقة الفناء + +180 +00:22:06,110 --> 00:22:13,010 +والموت أو الرضا بالقليل والقناعة بل شكل شعر الذهد + +181 +00:22:13,010 --> 00:22:21,770 +منظومةمنظمة أخلاقية وتجالب وتجربة ورؤية فمثلًا + +182 +00:22:21,770 --> 00:22:30,790 +يُعبّر عبدالله بن مبارك عن تجربته تجاه الذهب فقال + +183 +00:22:30,790 --> 00:22:38,790 +رأيت الذنوب تميت القلوب ويخترم العقل إدمانها يبيع + +184 +00:22:38,790 --> 00:22:46,310 +الفتى نفسه في رداه وأسلم للنفس عصيانهاطبعا هنا ايه + +185 +00:22:46,310 --> 00:22:53,310 +تجربة هذه التجربة يعني تجربة خاصة بعبد الله بن + +186 +00:22:53,310 --> 00:23:01,750 +مبارك يبين لنا أن الذنوب تميت الإرادة وطبعا القلوب + +187 +00:23:01,750 --> 00:23:07,930 +لا تحتضن إلا الإرادة يعني أفعال القلوب هي الإرادة + +188 +00:23:07,930 --> 00:23:14,390 +الإرادة فعلا قلبينفالذنوب تميت القلوب يعني تضعف + +189 +00:23:14,390 --> 00:23:19,750 +الإرادة الخيرة عند الإنسان وإذا استمر هذا الأمر + +190 +00:23:19,750 --> 00:23:28,510 +فإن هذا العيب أو أضرار الذنب يستفعل يستفحل إلى أن + +191 +00:23:28,510 --> 00:23:34,770 +يصل إلى العقل فالإنسان إذا أدمن على الذنبي يميت + +192 +00:23:34,770 --> 00:23:39,440 +القلب أولا يعني تضعف الإرادةالتي تحرك الفعل + +193 +00:23:39,440 --> 00:23:46,780 +الإنساني، ثم بعد ذلك تنتقل المأساة إلى العقل وإلى + +194 +00:23:46,780 --> 00:23:53,140 +الفكر، فيتعطل الفكر يبيع الفتى نفسه، طبعاً هذه من + +195 +00:23:53,140 --> 00:24:01,070 +علامات اخترام الذنوب للعقلأن الفتى يبيع نفسه + +196 +00:24:01,070 --> 00:24:07,890 +الأشياء السمينة الممتلكات القيم الأخلاق تباع في + +197 +00:24:07,890 --> 00:24:13,690 +شهواته يعني يتنازل عن هذه القيم وعن هذه المنظومة + +198 +00:24:13,690 --> 00:24:19,950 +الأخلاقية في سبيل تحقيق شهواته التي تقوده إلى + +199 +00:24:19,950 --> 00:24:27,020 +الهلاك في رداه يعني في هلاكهما الحل و أسلم للنفس + +200 +00:24:27,020 --> 00:24:33,520 +عصيانها الأسلم للنفس أن يعصيها الإنسان لماذا؟ لأن + +201 +00:24:33,520 --> 00:24:39,500 +النفس أمارة بالسوء ابتداء كلمة أمارة يعني تأمر + +202 +00:24:39,500 --> 00:24:45,740 +الإنسان ابتداءبالمعصية فلذلك على الإنسان و أسلوب + +203 +00:24:45,740 --> 00:24:53,700 +الإنسان أن يعصي النفس ابتداء أن يواجه النفس الأمر + +204 +00:24:53,700 --> 00:24:58,960 +بالسوء بالعصيان ابتداء ثم بعد ذلك يتدخل العقل + +205 +00:24:58,960 --> 00:25:08,600 +ليبين الأحسن من الحسن السيء من الأسوأ أو الحسن من + +206 +00:25:08,600 --> 00:25:15,230 +السيءيعمل مقارنات لأن هذه الموازنات يقوم بها العقل + +207 +00:25:15,230 --> 00:25:22,530 +فإذا استمرت هذه الذنوب فإن العقل يتعطل ولا يستطيع + +208 +00:25:22,530 --> 00:25:31,370 +أن يميز الحسن من القبيح ولا الأحسن من الحسن ولا + +209 +00:25:31,370 --> 00:25:36,670 +القبيح من الأقبح أيضا + +210 +00:25:38,560 --> 00:25:45,180 +وجدنا شاعراً آخر وهو محمد ابن كناسة كوفيه النشأة + +211 +00:25:45,180 --> 00:25:51,040 +له في الذهب فلسفة وتجربة أما في الفلسفة مثلا فقد + +212 +00:25:51,040 --> 00:25:59,420 +عبر في متر قولةومن عجب الدنيا تبقيك للبلا يعني + +213 +00:25:59,420 --> 00:26:07,520 +للهلاك وأنك فيها للبقاء مريده يعني أنت لديك رقبة + +214 +00:26:07,520 --> 00:26:15,580 +في البقاء حب البقاء لكن الدنيا لها لها نهاية وهي + +215 +00:26:15,580 --> 00:26:26,410 +الفناءلأنها تسير وفق تسلسل منطقي إلى النهاية بينما + +216 +00:26:26,410 --> 00:26:32,410 +الرغبة الإنسانية تتجه بحركة معاكسة لحركة الدنيا + +217 +00:26:32,410 --> 00:26:40,410 +وهي الرغبة في البقاء «وأي بني الأيام إلا وعندهم من + +218 +00:26:40,410 --> 00:26:47,640 +الدهر ذنب طارف وتليدومن يأمن الأيام أما اتساعها + +219 +00:26:47,640 --> 00:26:56,000 +فخطر وأما فجعها فعتيده إذا اعتدت النفس الرضاعة من + +220 +00:26:56,000 --> 00:27:04,090 +الهوى فإن فطام النفس عنه شديدوأي بني الأيام؟ طبعا + +221 +00:27:04,090 --> 00:27:11,550 +نعلم أن شعراء الذهد في تعميقهم لحقيقة الموت + +222 +00:27:11,550 --> 00:27:18,550 +والفناء أنهم ينسبون الناس إلى الأيام وأي بني + +223 +00:27:18,550 --> 00:27:27,360 +الأيام؟ يعني أي إنسان من الذين يحبون البقاءإلا و + +224 +00:27:27,360 --> 00:27:35,480 +عنده ذنب قديم و ذنب جديد طارف يعني جديد و تليد + +225 +00:27:35,480 --> 00:27:43,540 +يعني قديم يعني كل إنسان له ذنب جديد و ذنب قديم + +226 +00:27:44,700 --> 00:27:53,660 +فالإنسان يعني لابد أن يكون يعني فيه هذه الصفة لكن + +227 +00:27:53,660 --> 00:28:02,160 +الإنسان الجيد هو الذي يسارع بالتوبة والاستغفار ومن + +228 +00:28:02,160 --> 00:28:07,360 +يؤمن الأيام أما اتساعها فخطر وأما فجعها فعتيده + +229 +00:28:07,360 --> 00:28:16,360 +فالأيام لا ينبغيأن يأمن إليها الإنسان لأن يعني + +230 +00:28:16,360 --> 00:28:24,920 +السعادة فيها أمر يعني محدود فخطر الخطر يعني قليل + +231 +00:28:24,920 --> 00:28:32,420 +وأما المصيبة فهي كبيرة وقائمة ومستمرة وأما فجعها + +232 +00:28:32,420 --> 00:28:41,130 +فعتيدوا فالسعادة في الدنيا قليلة لكن الشيءالعتيد + +233 +00:28:41,130 --> 00:28:45,890 +القائم المستمر فيها الباقي فيها هو أيه المصائب + +234 +00:28:45,890 --> 00:28:51,730 +والابتلاءات البيت الأخير إذا اعتدت النفس الرضاعة + +235 +00:28:51,730 --> 00:28:57,210 +من الهوى هنا طبعا يبين لنا رؤيةوتجربة إذا اعتدت + +236 +00:28:57,210 --> 00:29:02,230 +النفس الرضاعة من الهوى فإن فطام النفس عنه شديد + +237 +00:29:02,230 --> 00:29:11,990 +يعني النفس إذا اعتدت على شيء فإن الإقلاع عنه يكون + +238 +00:29:11,990 --> 00:29:20,580 +صعبًا لذلك كما ذكرابن المبارك فيما سبق أن الأسلم + +239 +00:29:20,580 --> 00:29:28,920 +النعصي النفس لأنها أمارة ثم إنها سريعة الإدنان + +240 +00:29:28,920 --> 00:29:32,780 +والاعتياد + +241 +00:29:32,780 --> 00:29:37,340 +أيضا + +242 +00:29:37,340 --> 00:29:46,470 +وجدنا تجربة للزهد عندتجيب خاصة عند ابن كناسة فقال + +243 +00:29:46,470 --> 00:29:55,510 +تأنبني أنصنت عرض عصابة لها بين أطناب اللئام بصيصه + +244 +00:29:55,510 --> 00:30:03,750 +يقولون لو غمضت لذدت رفعة فقلت لهم إني إذا لحقيصه + +245 +00:30:03,750 --> 00:30:12,210 +أتكلموا وجهي لأبال لأبيكم مطامع عنها للكرام محيصه + +246 +00:30:12,900 --> 00:30:19,660 +معاشي دوين القوت والعرض وافر و بطني عن جدوى اللقام + +247 +00:30:19,660 --> 00:30:29,440 +خميسه فألقى المناية لم أخالط دنيا ولم تسري بيه في + +248 +00:30:29,440 --> 00:30:39,140 +المخزيات قلوسه فهنا طبعا يعبى عنه تجربتهويعني إن + +249 +00:30:39,140 --> 00:30:45,820 +الذهد ليس فقط رؤية وفلسفة لأ هناك إيه تجارب رائعة + +250 +00:30:45,820 --> 00:30:51,520 +رسمها الشعراء الشعراء الذهد في هذا المجال كما هو + +251 +00:30:51,520 --> 00:30:59,940 +بين أيدينا قول إيه ابن كناسة أنبني أنصنت نفسي + +252 +00:30:59,940 --> 00:31:06,410 +أنصنت أرضي عصابة لها بين أطناب اللقامي بصيطةيعني + +253 +00:31:06,410 --> 00:31:13,990 +هذه الأصابة الشريرة تؤنبه لأنه حمى نفسه وحمى عرضه + +254 +00:31:13,990 --> 00:31:22,130 +لأنه لم يسلك طريقة الفساد وطريقة الشر وطبعا + +255 +00:31:22,130 --> 00:31:28,070 +يعيّرونه بأنه يعني لو أنه سلك هذه الطريق و هذه + +256 +00:31:28,070 --> 00:31:36,110 +الطرق لخفعة مكانته وازداد رفعة في المجتمعولكن + +257 +00:31:36,110 --> 00:31:42,650 +الإنسان الذاهب يأبى ذلك ويرى أن في هذا جرح أن في + +258 +00:31:42,650 --> 00:31:51,770 +هذا جرح عميق مشوّه الوجه والمكانة أتكلم وجهي لا + +259 +00:31:51,770 --> 00:31:59,010 +أبى لأبيكم مطامع عنها للكرام محيطه فأصحاب الفضل + +260 +00:31:59,010 --> 00:32:06,950 +والكرم والأخلاق يبتعدون عن مثل هذه الطرق السيئةفهم + +261 +00:32:06,950 --> 00:32:13,730 +إيه يكتفون بالرضى بالقليل معاشي دوين القوت يعني + +262 +00:32:13,730 --> 00:32:21,350 +أقل من حد الكفاية والعرض وافر والعرض عفوا والعرض + +263 +00:32:21,350 --> 00:32:32,550 +وافر معاشي أقل من حد الكفاية ولكن عرضي سليم لم + +264 +00:32:32,550 --> 00:32:43,440 +يخالق شرًاولا أذن فأرضي صافي نقي وبطني عن جدول + +265 +00:32:43,440 --> 00:32:51,220 +لقامي خميصه وكذلك أنني لم أضع في بطني أي حرام من + +266 +00:32:51,220 --> 00:32:59,700 +هذه الطريق السيئة وسأحافظ على ذلك ولن أخالط دنيا + +267 +00:32:59,700 --> 00:33:06,840 +تسيئ إليإلى أن ألقى الموت فألقى المنايا لم أخالد + +268 +00:33:06,840 --> 00:33:14,760 +دنيا ولم تسري بي في المخزيات قلوس أي ناقة لن أركب + +269 +00:33:14,760 --> 00:33:21,940 +وسيلة مخزئة للحصول على هذه الشوات لأنها تذلني + +270 +00:33:21,940 --> 00:33:24,980 +وتنقص مكانتي + +271 +00:33:33,560 --> 00:33:40,460 +أيضًا عبّر شعر الذهد عن نماذج أيضًا، يعني لم يكتفي + +272 +00:33:40,460 --> 00:33:46,100 +بأن وضع لنا رؤية أو تجربة في موضوع الذهد، لأ، + +273 +00:33:46,100 --> 00:33:50,840 +أيضًا إيه؟ أضافة نماذج إنسانية، فمثلًا ابن كناسة + +274 +00:33:50,840 --> 00:33:57,960 +يستدعي نموذجا إنسانيا، يوضح من خلاله مفهوم الذهد، + +275 +00:33:58,280 --> 00:34:04,020 +يقول في مرفية طريفة في خاله إبراهيم ابن أدهم وكان + +276 +00:34:04,020 --> 00:34:10,840 +من الذهاب المشهورين رأيت كما يكفي كما دونه الغنى + +277 +00:34:10,840 --> 00:34:20,800 +وقد كان يكفي وقد كان يكفي دون ذاك ابن أدهمه وكان + +278 +00:34:20,800 --> 00:34:26,260 +يرى الدنيا صغيرا عظيمها وكان لحق الله فيها معظمة + +279 +00:34:27,170 --> 00:34:32,150 +وللحلم سلطان على الجهل عنده، فما يستطيع الجهل أن + +280 +00:34:32,150 --> 00:34:35,710 +يترمرمها، + +281 +00:34:35,710 --> 00:34:40,450 +وأكثر ما تلقاه في القوم صامتًا، وإن قال بذّ + +282 +00:34:40,450 --> 00:34:46,710 +القائلين وأحكمه، يُرى مستكينًا، خاضعًا، متواضعًا، + +283 +00:34:46,710 --> 00:34:53,730 +وليس إذا لاق الكتيبة ضيغمهاعلى الجدث الغربي من آل + +284 +00:34:53,730 --> 00:35:04,670 +وائل سلام وبر ما أبره وأكرمه إذا هنا الشاعر يعرض + +285 +00:35:04,670 --> 00:35:10,830 +مفهوم الذهب من خلال نموذج يعني إن كان فيه مسبق من + +286 +00:35:10,830 --> 00:35:15,450 +خلال رؤية أو من خلال تجربة فإن هنا نجد ابن كناسة + +287 +00:35:15,450 --> 00:35:21,920 +يعرض مفهوم الذهب من خلال نموذجوطبعاً نموذج لا يكون + +288 +00:35:21,920 --> 00:35:28,540 +نموذجا إلا إذا كان الإنسان قد وصل إلى إيه؟ إلى + +289 +00:35:28,540 --> 00:35:34,460 +أعلى درجات نظيف الذهب يعني بمعنى أن يحصل هناك + +290 +00:35:34,460 --> 00:35:41,920 +تطابقبين الفعل السلوكي لهذا النموذج والقيمة + +291 +00:35:41,920 --> 00:35:50,140 +الأخلاقية للذهب رأيتك ما يكفيك ما دونه الغنى يخاطب + +292 +00:35:50,140 --> 00:35:58,240 +الإنسان طبعا الشعر يخاطبنا ويخاطب المتلقى بأن وجد + +293 +00:35:58,240 --> 00:36:04,960 +عيبا عند المتلقى في أنه يعني لا يكتفي بحد الكفاية + +294 +00:36:05,790 --> 00:36:15,090 +وقد كان يكفي دون ذاك ابن أدهما يعني كان .. يعني + +295 +00:36:15,090 --> 00:36:19,930 +كان إيه؟ ابن أدم إيه؟ يعني بأقل من حد الكفاية وقد + +296 +00:36:19,930 --> 00:36:26,550 +كان يكفي دون ذاك ابن أدهما وكان يرى الدنيا صغيرا + +297 +00:36:26,550 --> 00:36:32,180 +عظيمها كان يرى الأمور العظيمة صغيرةبعكس الذين + +298 +00:36:32,180 --> 00:36:39,400 +يحبون الدنيا فإنهم يرون الأمور الصغيرة كبيرة وكان + +299 +00:36:39,400 --> 00:36:47,780 +لحق الله فيها معظمة وطبعا هنا يعني نشير إلى أن + +300 +00:36:47,780 --> 00:36:54,620 +الذهد لا يقوم على الخشوع فقط والانكسار بل أيضا + +301 +00:36:54,620 --> 00:37:03,960 +هناك الشق الثاني وهو أيه تعظيم اللهالزهد هو حالة + +302 +00:37:03,960 --> 00:37:07,200 +تبتدأ + +303 +00:37:07,200 --> 00:37:11,840 +من الخشوع والانكسار إلى الله سبحانه وتعالى إلى + +304 +00:37:11,840 --> 00:37:18,600 +تعظيم الله سبحانه وتعالى، فليس الزهد خشوع فقطكما + +305 +00:37:18,600 --> 00:37:25,400 +أن الذهب ليس تعظيما لله فقط بل يشمل الإثنين انكسار + +306 +00:37:25,400 --> 00:37:32,440 +الذاهب وتعظيم الله سبحانه وتعالى وللحلم سلطانه على + +307 +00:37:32,440 --> 00:37:39,770 +الجهل عندهفما يستطيع الجهل أن يترمرما أيضا الحلم + +308 +00:37:39,770 --> 00:37:51,350 +طبعا هو خلق وسلوك يجمع بين خلقين وهم الحكمة والصبر + +309 +00:37:51,350 --> 00:38:00,310 +الحليم يعني يجمع بين الحكمة والصبروللحلم سلطان على + +310 +00:38:00,310 --> 00:38:06,310 +الجهل لأن + +311 +00:38:06,310 --> 00:38:12,050 +الجهل جاء ضد الحلم لأن الحلم في حكمة فعكس الحكمة + +312 +00:38:12,050 --> 00:38:19,110 +يعني عكس الجهل حقيقة هو الحكمة وليس الحلم لكن + +313 +00:38:19,110 --> 00:38:24,830 +الحلم يعني فيه حكمة والحلم هو حكمة وصبر فلذلك يصلح + +314 +00:38:24,830 --> 00:38:31,690 +أن يكون ضد الجهلوالصحيح أن عكس الحلم هو إيه + +315 +00:38:31,690 --> 00:38:38,070 +الجهالة والسفة طبعا هو يقصد بالجهل هنا ليس يعني + +316 +00:38:38,070 --> 00:38:44,050 +جهل المعلومات والعلم إنما الجهل السلوكي الجهالة + +317 +00:38:44,050 --> 00:38:49,010 +السلوكية وللحلم سلطان على الجهل عنده فما يستطيع + +318 +00:38:49,010 --> 00:38:56,170 +الجهل أن يترمرن يعني أن يعيد نفسه ويلملم أطرافه + +319 +00:38:58,770 --> 00:39:05,810 +وأكثر مما تلقاه القوم صامتًا لذلك نخل هذا النموذج + +320 +00:39:05,810 --> 00:39:13,730 +نرى أن نظرية الأخلاق تتشكل في الزهد يعني الزهد له + +321 +00:39:13,730 --> 00:39:19,590 +نظرية أخلاقية من المفرضات مثلًا الحلم كما ذكرنا + +322 +00:39:19,590 --> 00:39:27,290 +والصمت ناحية سلوكيةوإن قال بذل قائلين وأحكمة يعني + +323 +00:39:27,290 --> 00:39:32,890 +لديه أيضًا حكمة يعني من الصفات الزاهد الحكمة + +324 +00:39:32,890 --> 00:39:38,350 +وأيضًا من الصفات الزاهد الاستكانة والخضوع والتواضع + +325 +00:39:39,420 --> 00:39:44,700 +وليث إن إذا لاقى الكتيبة ضيغمة وإذا لاقى ال .. + +326 +00:39:44,700 --> 00:39:48,800 +طبعا الكتيبة ربما تاخد أيه يعني دلالة أيه أوسع من + +327 +00:39:48,800 --> 00:39:54,000 +ال .. من الدلالة أيه العسكرية ممكن تاخد أيه دلالة + +328 +00:39:54,000 --> 00:40:00,100 +أيه أخلاقية أو سلوكيةوليس إذا لاقى الكتيبة ضيغما، + +329 +00:40:00,100 --> 00:40:09,000 +يعني إذا لاقى حدثا أو إنسان ينتقص القيم الأخلاقية + +330 +00:40:09,000 --> 00:40:14,800 +في الذهب، فكان إيه؟ ليس وليس إذا لاقى الكتيبة + +331 +00:40:14,800 --> 00:40:23,200 +ضيغماوطبعا الليث تعبر عن حالة هي من أسماء الأسد + +332 +00:40:23,200 --> 00:40:28,560 +لكنها تعبر عن حالة من حالات الأسد ما هي الحالة + +333 +00:40:28,560 --> 00:40:34,240 +لحظة الإنطلاق ليثا وأما ضيغما فهي أيضا حالة ليل + +334 +00:40:34,240 --> 00:40:39,330 +الأسد ولكن في الحالة السلوكيةيعني هو أسد في لحظة + +335 +00:40:39,330 --> 00:40:47,630 +الإنطلاق الإرادة فهو ينطلق من إرادة قوية كما الأسد + +336 +00:40:47,630 --> 00:40:53,570 +طبعا عبّر عنها بالليل وأيضا إذا دخل في الجانب + +337 +00:40:53,570 --> 00:41:00,250 +السلوكي فهو إيه؟ كالأسد الضيغم الذي يفتك بفريسته + +338 +00:41:01,620 --> 00:41:08,140 +وهذا النموذج الرائع اللي هو ابن أدهم يفتحق أن + +339 +00:41:08,140 --> 00:41:14,420 +يُلقى عليه السلام لأنه بلغ أعلى قمة في النموذج + +340 +00:41:14,420 --> 00:41:23,920 +الأخلاقي على الجدث الغربي من آل وآل سلام وبر ما + +341 +00:41:23,920 --> 00:41:25,480 +أبره وأكرمه + +342 +00:41:30,580 --> 00:41:37,300 +هناك شعر آخر وهو محمود الورّاق وقد ظهر الذهب لليهي + +343 +00:41:40,230 --> 00:41:47,190 +وقد ظهر الذهب لديه فلسفة و تجربة و تربية ايضا اما + +344 +00:41:47,190 --> 00:41:55,670 +في الفلسفة فيقول تعصي الإله وانت تظهر حبه هذا محال + +345 +00:41:55,670 --> 00:42:01,990 +في القياس بديعه لو كنت تظمر حبه لا أطعته إن المحب + +346 +00:42:01,990 --> 00:42:11,490 +لمن يحب مطيعهأيضًا نجد أنه أيضًا قد انطلق في الذهب + +347 +00:42:11,490 --> 00:42:21,970 +أيضًا من شيء يعني تربية و أيضًا تجربة لكن نكتفي + +348 +00:42:21,970 --> 00:42:29,470 +مثلًا بنموذج للتربيةوهو اخذ الحيطة والاستعداد + +349 +00:42:29,470 --> 00:42:35,750 +للمصيبة قبل أن تقع فهذا ايه يعني اسلوب هذا اسلوب + +350 +00:42:35,750 --> 00:42:42,750 +تربوي قال يمثل ذو اللب في نفسه مصائبه قبل أن تنزله + +351 +00:42:42,750 --> 00:42:48,670 +فإن نزلت بغتة لم ترعه لما كان في نفسه مثلهرأى + +352 +00:42:48,670 --> 00:42:55,410 +الهمة يفضى إلى آخر فسيّر آخره أولى وذو الجهل يأمن + +353 +00:42:55,410 --> 00:43:02,470 +أيامه وينسى مصارع من قد خلى فإن بدهته صروف الزمان + +354 +00:43:02,470 --> 00:43:07,190 +ببعض مصائبه أعواله ولو قدم الحزم في أمره لعلّمه + +355 +00:43:07,190 --> 00:43:15,390 +الصبر الصبرة عند البلا يعني يعني هنا تج يعني تربية + +356 +00:43:15,390 --> 00:43:23,130 +يربيهذا الشاعر المتلقي بأن يأخذ بالاستعداد النفسي + +357 +00:43:23,130 --> 00:43:28,070 +المسبق للمصيبة يعني قبل أن تقع المصيبة عليه إيه أن + +358 +00:43:28,070 --> 00:43:39,090 +يروض نفسه لتقبل المصائبفإذا يعني اترك نفسه تهيمه + +359 +00:43:39,090 --> 00:43:44,850 +في الملزات والشهوات فإذا فاجأته المنية أو المصيبة + +360 +00:43:44,850 --> 00:43:50,010 +فإن وقعها يكون شديدا ولذلك يطرح علينا إيه يعني + +361 +00:43:50,010 --> 00:43:54,790 +برنامج عن إيه تربوياإذن الذهب لم يقف عند الفلسفة + +362 +00:43:54,790 --> 00:44:04,330 +والتجربة والنموذج بل أيضًا استعمل وسيلة تربوية كما + +363 +00:44:04,330 --> 00:44:08,510 +نرى هذا وبالله التوفيق وصل اللهم على نبينا محمد + +364 +00:44:08,510 --> 00:44:12,610 +وعلى آله وصحبه وسلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bgH9haviHpM.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bgH9haviHpM.srt new file mode 100644 index 0000000000000000000000000000000000000000..1fdabf62cd0c2bef8c6fff926c0457099eae7bd5 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bgH9haviHpM.srt @@ -0,0 +1,675 @@ +1 +00:00:05,430 --> 00:00:08,590 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,590 --> 00:00:14,190 +وعلى آله وصحبه وسلم تسليماً كثيراً وبعد في المؤثرات + +3 +00:00:14,190 --> 00:00:21,050 +السابقة العامة التي ذكرناها طبيعة الحياة العباسية + +4 +00:00:21,050 --> 00:00:26,810 +من الناحية المادية اليومية بطابع فارسي أما من + +5 +00:00:26,810 --> 00:00:32,030 +الناحية العقلية فقد طبعت بطابع عقلي متأثر + +6 +00:00:32,030 --> 00:00:38,770 +بالثقافات الأجنبية والفكر الاعتزالي أقول إن العقل + +7 +00:00:38,770 --> 00:00:44,870 +العباسي في هذا العصر كان عقلا جدلياً متفلسفاً وقد طبع + +8 +00:00:44,870 --> 00:00:50,990 +بطابع اعتزالي وبدى العصر كما لو كان عصرا اعتزالياً + +9 +00:00:50,990 --> 00:00:59,470 +هذا الأمر تركه على الشعر العربي وأثر في الشعر + +10 +00:00:59,470 --> 00:01:07,830 +العربي في أمور كثيرة من ناحية الطوابع العقلية فقد + +11 +00:01:07,830 --> 00:01:13,510 +وجدنا تمجيدا للعقل العربي تمجيدا للعقل في هذا العصر + +12 +00:01:13,510 --> 00:01:20,370 +فقال بشار بن برد: شفاء العمى طول السؤال وإنما + +13 +00:01:20,370 --> 00:01:25,850 +دوام العمى طول السكوت على الجهل، فكن سائلاً عما + +14 +00:01:25,850 --> 00:01:32,710 +عناك فإنما دعيت أخي عقل لتبحث بالعقل نجد هنا + +15 +00:01:32,710 --> 00:01:41,300 +تمجيدا للعقل شفاء العمى طول السؤال وإنما دوام العمى + +16 +00:01:41,300 --> 00:01:46,120 +طول السكوت على الجهل فالسؤال هو الذي يكشف العلم + +17 +00:01:46,120 --> 00:01:53,760 +لأن السؤال هو استفهام طلب الفهم فبالسؤال يتحقق + +18 +00:01:53,760 --> 00:02:01,820 +الفهم والعلم ويتطور العقل أما السكوت وعدم السؤال + +19 +00:02:01,820 --> 00:02:09,720 +فهو الذي يعمق الجهل، ولذلك وجدنا البيت الأول هو رؤية + +20 +00:02:09,720 --> 00:02:18,260 +وحكمة، لكن البيت الثاني هو توجيه وتعليمات حيث يقول + +21 +00:02:18,260 --> 00:02:25,200 +فكن سائلاً عن ما عناك يعني عن ما تريده وتحتاج إليه + +22 +00:02:25,200 --> 00:02:32,620 +فإنما دعيت أخا عقل فأنت إنسان عاقل لأنك توظف العقل + +23 +00:02:32,620 --> 00:02:38,600 +في حل مشاكلك وفي البحث فأنت عاقل لا لأنك تملك + +24 +00:02:38,600 --> 00:02:44,700 +العقل وإنما لأنك توظف العقل في البحث و.. و ال .. + +25 +00:02:44,700 --> 00:02:51,980 +و اكتساب العلم والمعرفة أيضًا وجدنا تمجيدًا + +26 +00:02:51,980 --> 00:02:59,710 +للكتاب وقد ذكرنا من قبل أن الشاعر الجاهلي لا يستعمل + +27 +00:02:59,710 --> 00:03:06,310 +السؤال لأن العصر الجاهلي هو عصر مبادئ وقيم وأخلاق + +28 +00:03:06,310 --> 00:03:13,590 +وسرعة استجابة وروح مبادرة حيث قال شاعرهم لا يسألون + +29 +00:03:13,590 --> 00:03:20,270 +أخاهم حين يندبهم للنائبات على ما قال برهانًا، فالعرب + +30 +00:03:20,270 --> 00:03:25,650 +في الجاهلية لا يكثرون من السؤال لأنهم يتسرعون + +31 +00:03:25,650 --> 00:03:30,070 +وينطلقون في الإجابة السريعة فهم لا يحتاجون إلى + +32 +00:03:30,070 --> 00:03:40,490 +الأسئلة ولذلك تميز العصر الجاهلي بميزة أخلاقية فهو + +33 +00:03:40,490 --> 00:03:45,850 +مجتمع أخلاقي صاحب مبادئ لأن المبادئ لا تحتاج إلى + +34 +00:03:45,850 --> 00:03:53,850 +أسئلة كثيرة، المبادئ إما أن تكون وإما أن لا تكون، + +35 +00:03:53,850 --> 00:04:00,010 +فلذلك لا مجال للأسئلة في مجتمع يسوده أو تسوده + +36 +00:04:00,010 --> 00:04:03,970 +المبادئ الأخلاقية كما رأينا في الشعري الجاهلي + +37 +00:04:03,970 --> 00:04:10,710 +ورأينا أن الإنسان الجاهلي كان يتميز بسرعة البديهة + +38 +00:04:10,710 --> 00:04:18,390 +والطبع فلذلك لم يكثر من الأسئلة، أما في هذا العصر + +39 +00:04:18,390 --> 00:04:24,790 +فوجدنا أن الشاعر يكسر الأسئلة لأنه مجتمع متحضر + +40 +00:04:24,790 --> 00:04:31,430 +مجتمع نمى فيه العقل نموًا كبيرًا كما ذكرنا، الأمر + +41 +00:04:31,430 --> 00:04:36,150 +الثاني الذي يعني طبع في هذا الشاعر هو الاهتمام + +42 +00:04:36,150 --> 00:04:41,580 +بالكتاب أو التأكيد على الكتاب رأينا في الشاعر + +43 +00:04:41,580 --> 00:04:44,600 +الجاهلي، ونحن دائما نقارن مع الشاعر الجاهلي، لأنه + +44 +00:04:44,600 --> 00:04:52,260 +هو النموذج الذي يقاس عليه، وجدنا أن الشاعر الجاهلي + +45 +00:04:52,260 --> 00:05:00,120 +يكثر ويمجد الناقة، وفي هذا العصر بدأ حضور الناقة + +46 +00:05:00,120 --> 00:05:07,150 +يتقلص شيئًا فشيئًا، إلى أن وصلنا إلى عصر المتنبي + +47 +00:05:07,150 --> 00:05:13,330 +الذي وازن بين الناقة والكتاب فقال أعز شيء في + +48 +00:05:13,330 --> 00:05:21,310 +الدنيا سرج سابح وخير جليس في الزمان كتابه، حضور + +49 +00:05:21,310 --> 00:05:29,550 +الناقة بدأ يتقلص وبدأ يظهر الكتاب بدلا من الناقة + +50 +00:05:29,550 --> 00:05:37,820 +كما في قول محمد بن ياسر هم مؤنسون وأولاف غنيت بهم + +51 +00:05:37,820 --> 00:05:44,360 +فليس لي في أنيس غيرهم عرب فأيما أدب منهم مددت يدي + +52 +00:05:44,360 --> 00:05:50,940 +إليه فهو قريب من يدي كثب حتى كأني قد شاهدت عصرهم + +53 +00:05:50,940 --> 00:05:58,440 +وقد مضت دونهم من دهرهم حقبًا، إذا هنا يمجد الكتاب + +54 +00:05:58,440 --> 00:06:06,080 +ويجعله بديلاً عن غيره في تحقيق الأنس فقد رأينا أن + +55 +00:06:06,080 --> 00:06:11,760 +الناقة هي التي تحقق الأنس للشاعر الجاهلي كما قال + +56 +00:06:11,760 --> 00:06:17,980 +طرفه: من العبد وإني لا أبغى الهم عند ارتحاله بعوجاء + +57 +00:06:17,980 --> 00:06:20,900 +مرقال تروح وتغتدي + +58 +00:06:23,420 --> 00:06:28,780 +هنا وجدت في الكتاب الأنس والأنفة، هم مؤنسون طبعًا + +59 +00:06:28,780 --> 00:06:37,270 +خاطبة الكتاب أو الكتب وخاطبة العاقل هم مؤنسون وذلك + +60 +00:06:37,270 --> 00:06:43,630 +تمجيداً إيه للكتاب؟ هم مؤنسون وأولاف غنيت بهم فليس + +61 +00:06:43,630 --> 00:06:49,310 +لي في أنيس غيرهم عرب، غيرهم إيه؟ يعني لا حاجة لي في + +62 +00:06:49,310 --> 00:06:55,570 +غيرهم فإن الكتاب أو الكتب هي التي تحقق لي الألفة + +63 +00:06:55,570 --> 00:07:01,070 +والأنس والمعرفة من حيث السرعة في الوصول إلى + +64 +00:07:01,070 --> 00:07:11,890 +المعلومة والسهولة واليسر حتى إنني كأنني أعيش عصرهم + +65 +00:07:11,890 --> 00:07:17,870 +حتى كأنني قد شاهدت عصرهم وقد مضت دونهم من دهرهم + +66 +00:07:17,870 --> 00:07:26,010 +حقبًا أيضًا من الطوابع العقلية استعمال المصطلح في + +67 +00:07:26,010 --> 00:07:30,800 +التعبير فبدل أن يستعمل التشبيه أو الاستعارة أو + +68 +00:07:30,800 --> 00:07:37,660 +الكناية مثلاً وجدناه يستعمل المصطلح مثل بعض مصطلحات + +69 +00:07:37,660 --> 00:07:44,020 +علم الحديث مثل مصنوع حديث إيه مصنوع يعني فيه + +70 +00:07:44,020 --> 00:07:46,560 +زيادات وفيه إضافات + +71 +00:07:48,940 --> 00:07:57,340 +وحديث موضوع لا أصل له فأخذ البحث لهذه المصطلحين في + +72 +00:07:57,340 --> 00:08:04,460 +مدح إبراهيم بن سهل فقال: خلق أتيت بفضله وسنائه طبعا + +73 +00:08:04,460 --> 00:08:12,260 +فجاء كأنه مصنوع وحديث مجد عنك أفرط حسنه حتى ظننا + +74 +00:08:12,260 --> 00:08:21,370 +أنه موضوع، طبعًا الخلق يكون جميلاً إذا كان نابعًا من + +75 +00:08:21,370 --> 00:08:27,430 +إرادة صادقة بأن يكون طبعًا يعني إيه نابع من إرادة + +76 +00:08:27,430 --> 00:08:34,610 +صادقة الشيء الثاني أن يكون هذا الخلق في تطبيقه + +77 +00:08:34,610 --> 00:08:42,680 +السلوكي مستغرقًا للزمان والمكان والموضوع حينئذ + +78 +00:08:42,680 --> 00:08:50,520 +يكونوا خلقاً جميلاً وأهم قيمة في الخلق هو الطبع أن + +79 +00:08:50,520 --> 00:08:59,100 +يكون هذا الخلق نابعًا من إرادة صادقة ولذلك قال خلق + +80 +00:08:59,100 --> 00:09:05,240 +أتيت بفضله وسنائه يعني جئت بخلق جميل رائع من حيث + +81 +00:09:05,240 --> 00:09:12,850 +أنه مطبوع يعني نابع من إرادة صادقة فجاء كأنه مصنوع + +82 +00:09:12,850 --> 00:09:17,910 +طبعًا الصناعة غير الطبع يعني مصنوع من الناحية + +83 +00:09:17,910 --> 00:09:23,210 +السلوكية معنى مصنوع يعني مستغرق للزمان والمكان + +84 +00:09:23,210 --> 00:09:33,610 +والموضوع الإنسان المتصنع في سلوكه يكثر من تطبيق + +85 +00:09:33,610 --> 00:09:40,400 +هذا الفعل أو السلوك زمنا ومكانا وموضوعًا فنجد + +86 +00:09:40,400 --> 00:09:46,140 +المنافق مثلاً يردد على الإنسان أنه يريد أن يفعل له + +87 +00:09:46,140 --> 00:09:51,740 +كذا وكذا وكذا ويداوم على الفعل حتى يبين أنه إيه + +88 +00:09:51,740 --> 00:10:00,140 +إنسان صادق وهذا هو فعل المنافقين أنهم إيه يظهرون + +89 +00:10:00,140 --> 00:10:08,660 +ناحية سلوكية مستغرقة للزمن والمكان والموضوع حتى + +90 +00:10:08,660 --> 00:10:18,040 +يغطوا على عدم صدقهم ليبينوا أن هذا الخلق نابع من + +91 +00:10:18,040 --> 00:10:24,660 +إرادة صادقة وهم ليسوا كذلك بل هم منافقون فهذا + +92 +00:10:24,660 --> 00:10:30,700 +الشاعر هذا الممدوح يجمع بين الأمرين أنه من حيث + +93 +00:10:30,700 --> 00:10:37,840 +الطبع فهو صادق في إيرادته وأما من ناحية الفعل + +94 +00:10:37,840 --> 00:10:44,440 +السلوكي فإنه يفعل هذا الفعل في كل أحواله الزمنية + +95 +00:10:44,440 --> 00:10:50,760 +والمكانية والموضوعية ولذلك قال مصنوع لأن المتكلف + +96 +00:10:50,760 --> 00:10:58,810 +يبذل قصارى جهده في الزمن والمكان والموضوع وحديث + +97 +00:10:58,810 --> 00:11:07,890 +مجدًا عنك أفرط حسنه حتى ظننا أنه موضوع يعني أن + +98 +00:11:07,890 --> 00:11:14,550 +هذا الخلق قد وصل إلى أعلى درجات الوصف والجمال بحيث + +99 +00:11:14,550 --> 00:11:21,790 +تجاوز المدرك العقلي يعني أن العقل لم يستطع ولم + +100 +00:11:21,790 --> 00:11:29,440 +يحدد هذا الحسن لقد تجاوز المدرك العقلي حتى ظننا أنه + +101 +00:11:29,440 --> 00:11:36,920 +موضوع يعني تجاوز المدرك العقلي فظننا أنه موضوع + +102 +00:11:36,920 --> 00:11:41,940 +يعني لا أصل له يعني تجاوز الأصل وانفصل عنه هذا + +103 +00:11:41,940 --> 00:11:48,700 +الجمال مطلق فوق المدرك العقلي يعني غير مقيد بضوابط + +104 +00:11:48,700 --> 00:11:55,080 +العقل لذلك حتى ظننا أنه موضوع يعني لا أصل له وكذلك + +105 +00:11:55,080 --> 00:12:04,400 +وجدنا استعمالًا للمصطلحات اللغوية مثل المعجم فبدل + +106 +00:12:04,400 --> 00:12:11,180 +أن يستعمل التشبيه أو الاستعارة ويقول مثلاً أن خلقه + +107 +00:12:11,180 --> 00:12:15,180 +كالبحر مثلاً قال كالمعجم + +108 +00:12:16,850 --> 00:12:22,850 +ولقد جمعت فضائل ما استجمعت يفن الزمان وذكرها لم + +109 +00:12:22,850 --> 00:12:30,370 +يهرم مثل الكلام تفرقت أنواعه فرقًا وتجمعها حروف + +110 +00:12:30,370 --> 00:12:37,330 +المعجمين يعني أن هذا الممدوح استجمع كل الفضائل + +111 +00:12:37,330 --> 00:12:41,330 +واستوعب + +112 +00:12:42,870 --> 00:12:49,030 +كل هذه الفضائل التي بقيت شاخصة في الزمن وانتهى + +113 +00:12:49,030 --> 00:12:55,610 +الزمن وهي شاخصة محافظة على روعتها وذكرها لم يهرم + +114 +00:12:55,610 --> 00:13:07,210 +مثل الكلام الكلام مفرضاته كثيرة ومتنوعة ومتفرقة في + +115 +00:13:07,210 --> 00:13:16,130 +أفواه الرجال وفي قلوبهم لكن المعجم هو الذي يجمع + +116 +00:13:16,130 --> 00:13:26,850 +هذه الكلمات ويضعها في صيغ وأبواب وفصول مثل الكلام + +117 +00:13:26,850 --> 00:13:34,910 +تفرقت أنواعه فرقًا وتجمعها حروف المعجم أيضًا + +118 +00:13:34,910 --> 00:13:40,870 +وجدنا من الطوابع العقلية استعمال ثنائيات ضدية + +119 +00:13:40,870 --> 00:13:49,270 +بمعنى أن يضع المعنى بين ضدين أو يأتي بالمعنى خاليًا + +120 +00:13:49,270 --> 00:13:58,170 +من ضده لأن صفة الجمال تكون في القلق عندما يخلوا من + +121 +00:13:58,170 --> 00:14:05,130 +المفردات السالبة والعوارض المانعة فعندما نقول صبر + +122 +00:14:05,130 --> 00:14:12,830 +جميل يعني صبر بلا جزعة فصبر جميل يعني صبر بلا جزعة + +123 +00:14:12,830 --> 00:14:22,070 +صبر يخلو من المفردات السالبة والعوارض المانعة قال + +124 +00:14:22,070 --> 00:14:31,240 +ابن رومي في المدح وتجميل صورة الممدوح كل الخصال + +125 +00:14:31,240 --> 00:14:39,540 +التي فيكم محاسنكم تشابهت منكم الأخلاق والخلق كأنكم + +126 +00:14:39,540 --> 00:14:46,280 +شجر الأتروجي طاب معًا حملًا ونورًا وطاب العود والورق + +127 +00:14:49,020 --> 00:14:55,520 +يعني أن الأخلاق عندكم تتطابق مع الهيئات يعني الشكل + +128 +00:14:55,520 --> 00:14:57,780 +يتطابق مع الموضوع + +129 +00:15:00,310 --> 00:15:05,790 +لتطابق مع المعنى الداخلي، مع القيمة الداخلية، وهذا + +130 +00:15:05,790 --> 00:15:12,330 +هو الصدق، هذا هو الصدق، فأي عمل أو أي سلوك يكون + +131 +00:15:12,330 --> 00:15:18,810 +جميلًا إذا توفرت فيه صفة الصدق، فنحن نقول هذا + +132 +00:15:18,810 --> 00:15:25,250 +الإنسان كريمًا إذا كان صادقًا في كرمه، ونقول هذا + +133 +00:15:25,250 --> 00:15:31,480 +الإنسان تقياً، إذا كان صادقًا في تقواه، ونقول هذا الرجل + +134 +00:15:31,480 --> 00:15:39,060 +عفيفا إذا كان صادقًا في عفته، ونقول هذا الرجل شجاعًا + +135 +00:15:39,060 --> 00:15:45,620 +إذا كان صادقًا في شجاعته إذا الصدق هو الذي يشكل + +136 +00:15:45,620 --> 00:15:53,880 +النموذج ويشكل الموقف ويشكل القيمة ولذلك هنا استعمل + +137 +00:15:55,610 --> 00:16:02,510 +الشيء وضده الشكل والمضمون تشابهت منكم الأخلاق + +138 +00:16:02,510 --> 00:16:08,470 +والخلاق طبعًا التعامل الثنائيات قد ظهر بشكل بارز + +139 +00:16:08,470 --> 00:16:13,750 +في شعر أبي تمام كما سيأتي بيان ذلك عندما نتناول + +140 +00:16:13,750 --> 00:16:19,650 +أعلام الشعراء إن شاء الله كأنكم شجر الأتروجي طاب + +141 +00:16:19,650 --> 00:16:25,990 +معًا حملًا ونورًا وطاب العود والورق شجر الأسرج + +142 +00:16:25,990 --> 00:16:36,070 +جميل حين يحمل الثمار وحين يزهر وحين يغرق وحتى لو + +143 +00:16:36,070 --> 00:16:44,870 +كان أعوادًا فهو جميل في كل مراحله كذلك وجدنا من + +144 +00:16:44,870 --> 00:16:50,980 +الطوابع العقلية التقسيمات المنطقية وقد اعتمد على + +145 +00:16:50,980 --> 00:16:56,840 +ذلك ابن المعتز في رسم صورة للمحبوبة حيث شبه شعرها + +146 +00:16:56,840 --> 00:17:03,580 +بالليل في السواد وخديها بالخمر في الحمران قال + +147 +00:17:03,580 --> 00:17:10,640 +ثقتني في ليل شبيه بشعرها أي قسم شبيه تخديها بغير + +148 +00:17:10,640 --> 00:17:17,560 +رقيب فأمسيت في ليليني عمق لأن المعنى جمع بين أيه؟ + +149 +00:17:17,560 --> 00:17:22,960 +الليل اللي هو الدجة والشعر في السواد فأمسيت في + +150 +00:17:22,960 --> 00:17:30,040 +ليليني بالشعر والدجة وخمرين من راح وخد حبيبي راح + +151 +00:17:30,040 --> 00:17:40,110 +والخمر وخد المحبوبة أيضًا وجدنا صورًا طريفة في + +152 +00:17:40,110 --> 00:17:46,610 +تحويل المبادئ والقيم إلى صور فنية متعارف عليها + +153 +00:17:46,610 --> 00:17:54,610 +منتزعة من البيئة ومن التطور الحضاري إن الدراهمة في + +154 +00:17:54,610 --> 00:18:00,810 +المواطن كلها تكثر رجال مهابة وجلالة فهي اللسان لمن + +155 +00:18:00,810 --> 00:18:09,670 +أراد فصاحة وهي السلاح لمن أراد قتالها أيضًا وجدنا + +156 +00:18:11,490 --> 00:18:17,710 +تصويرًا للمعروف أيضًا في صورة إنسان جميل ولم أرك + +157 +00:18:17,710 --> 00:18:25,220 +المعروف أما مذاقه فحلو وأما وجهه فجميل إذا وجدنا + +158 +00:18:25,220 --> 00:18:29,580 +هنا مجموعة من الطوابع العقلية التي طُبع فيها الشعر + +159 +00:18:29,580 --> 00:18:36,380 +العربي في هذه الفترة وهذا بفضل الثقافات الأجنبية + +160 +00:18:36,380 --> 00:18:39,440 +والمذاهب + +161 +00:18:39,440 --> 00:18:44,900 +الكلامية التي ظهرت في هذا العصر وأهمها المعتزلة + +162 +00:18:47,050 --> 00:18:54,070 +كذلك وجدنا إحداث مقارنة بين الشيء وضده، بين + +163 +00:18:54,070 --> 00:19:00,180 +الإنسان النافع والإنسان الضار قال ابن الرومي: عذرنا + +164 +00:19:00,180 --> 00:19:05,880 +النخلة في إبداء شوك يزود به الأنامل عن جناه فما + +165 +00:19:05,880 --> 00:19:13,460 +للعثج الملعون أبدأ لنا شوك بلا ثمر، نراه في مقارنة + +166 +00:19:13,460 --> 00:19:18,920 +يعني واسعة بين الإنسان النافع والإنسان الضار + +167 +00:19:19,480 --> 00:19:26,320 +فالإنسان النافع نتحمل أخطاءه إن وقع فيها لأن + +168 +00:19:26,320 --> 00:19:32,080 +منفعته أكثر من مضارته أما الإنسان الضار الذي لا + +169 +00:19:32,080 --> 00:19:42,260 +نفع من ورائه فكيف \ No newline at end of file diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds.srt new file mode 100644 index 0000000000000000000000000000000000000000..9c0622814afb8a70cdee2bc9fca2dd09095a6994 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds.srt @@ -0,0 +1,1079 @@ +1 +00:00:04,940 --> 00:00:07,500 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا + +2 +00:00:07,500 --> 00:00:11,800 +محمد وعلى آله وصحبه وسلم تسليما كثيرا وبعد + +3 +00:00:11,800 --> 00:00:18,060 +هذه المحاضرة هي بعنوان موضوعات جديدة في الشعر + +4 +00:00:18,060 --> 00:00:23,880 +العباسية وكما قلنا فيما سبق من أن العقل العربي في + +5 +00:00:23,880 --> 00:00:31,600 +هذه المرحلة قد اتسع وارتقى إلى درجات عالية من + +6 +00:00:31,600 --> 00:00:38,420 +الفكر الدقيق والتأمل الارتقائي وهذا أدى إلى أن + +7 +00:00:38,420 --> 00:00:43,260 +الأفكار التي كانت تأتي عرضًا في القصيدة القديمة + +8 +00:00:43,260 --> 00:00:48,520 +أصبحت هذه الأفكار أو هذه المعاني تأتي في قصيدة + +9 +00:00:48,520 --> 00:00:57,700 +كاملة، فطبعت القصيدة العباسية بطابع الموضوعية، فقد + +10 +00:00:57,700 --> 00:01:03,660 +وجدنا قصائد تحتفظ بالموضوعية بمعنى أنها احتوت على + +11 +00:01:03,660 --> 00:01:12,190 +موضوع واحد، فنجد مقطوعة في الصبر، وأخرى في الحلم + +12 +00:01:12,190 --> 00:01:18,970 +وأخرى في التنفير من الجهل، كما قال محمد ابن ياسير + +13 +00:01:18,970 --> 00:01:25,970 +لا تيأسن وإن طالت مطالبة إذا استعنت بصبر أن ترا + +14 +00:01:25,970 --> 00:01:34,050 +فرجا، إن الأمور إذا انسدت مسالكها فالصبر يفتح منها + +15 +00:01:34,050 --> 00:01:41,450 +كل مرتجة، أخلق بذي الصبر أن يحظى بحاجته ومدمن القرع + +16 +00:01:41,450 --> 00:01:48,470 +للأبواب أن يلجأ، فاطلب لرجلك قبل الخطوة موضعها، فمن + +17 +00:01:48,470 --> 00:01:57,130 +على زلقا عن غرة زلجا، لا تيأسن، طبعا هنا دعوة إلى + +18 +00:01:57,130 --> 00:02:04,640 +التخلص من اليأس، وهذا لا يقال إلا إذا كان هناك صبر + +19 +00:02:04,640 --> 00:02:15,200 +مسبق، يعني اصبر ولا تيأس، فكلمة لا تيأس إنما تقال + +20 +00:02:15,200 --> 00:02:24,280 +بعد وجود صبر، ومعناها إذا هنا الصبر الجميل، الصبر + +21 +00:02:24,280 --> 00:02:33,180 +بلا يأس، حتى يكون الصبر جميلا إذا كان خاليا من اليأس + +22 +00:02:33,180 --> 00:02:42,980 +أو الجزع، لا تيأسن، دعوة إلى الصبر الجميل، صبر بلا + +23 +00:02:42,980 --> 00:02:49,990 +يأس، صبر يخلو من المفردات السالبة والعوارض المانعة + +24 +00:02:49,990 --> 00:02:55,610 +وإن طالت مطالبة إذا استعنت بصبر أن ترى فرجها + +25 +00:02:55,610 --> 00:03:03,900 +وإنما أكد الشاعر بنون التوكيد الثقيلة فقال لا تيأسن + +26 +00:03:03,900 --> 00:03:09,640 +إذ بإمكانه أن يقول لا تيأس أو أن يقول لا تيأس + +27 +00:03:09,640 --> 00:03:14,120 +بنون التوكيد الخفيفة، وإنما قال بنون التوكيد + +28 +00:03:14,120 --> 00:03:22,270 +الثقيلة ليؤكد أن هناك حقيقة في الكون أو في الحياة + +29 +00:03:22,270 --> 00:03:30,130 +التي لا تتخلف وهي أن الصبر مشفوع بالفرج وأن العسرة + +30 +00:03:30,130 --> 00:03:37,530 +مشفوعة باليسر وأن المصائب تتلوها الرغائب كما رأينا + +31 +00:03:37,530 --> 00:03:43,420 +في شعر أبي تمام فيما سبق عندما قال ذريني وأهوال + +32 +00:03:43,420 --> 00:03:52,260 +الزمان، أُفانها، فأهواله عظيمة تليها رغائبه، إن + +33 +00:03:52,260 --> 00:03:56,640 +الأمور إذا انسدت مسالكها فالصبر يفتح منها كل ما + +34 +00:03:56,640 --> 00:04:02,740 +ارتجها، فالصبر هو طبعا حقيقة أن الصبر هو الخيار + +35 +00:04:02,740 --> 00:04:10,800 +المطلوب وهو الموقف الأخير الذي ينبغي أن يحافظ عليه + +36 +00:04:10,800 --> 00:04:17,160 +هو الجدار الأخير، لأن ما بعد الصبر هو الفرج، فالصبر + +37 +00:04:17,160 --> 00:04:23,670 +هو مفتاح الفرج كما هو متقرر في العقل الجمعي، فالصبر + +38 +00:04:23,670 --> 00:04:30,070 +يفتح منها كل مرتجة، أخلق بذي الصبر، أسلوب تعجب + +39 +00:04:30,070 --> 00:04:38,200 +أسلوب التعجب له صيغتان، أفعل بِهِ ما أفعله، أخلق من + +40 +00:04:38,200 --> 00:04:44,600 +الصبر أن يحظى بحاجته، ومدمن القرع للأبواب أن يلجأ + +41 +00:04:44,600 --> 00:04:52,820 +ما أجدر الإنسان الصابر في أن يتحصل على بغيته أو + +42 +00:04:52,820 --> 00:05:00,990 +هدفه أو غايته لأنه سلك الطريق الصحيح والسليم، ومدمن + +43 +00:05:00,990 --> 00:05:05,810 +القرع للأبواب أن يلجأ، وكذلك الذي يأخذ بالأسباب + +44 +00:05:05,810 --> 00:05:13,310 +فإنه سيلج الأبواب، فمن يأخذ بالأسباب سيلج الأبواب + +45 +00:05:13,310 --> 00:05:21,440 +أبواب النجاح وأبواب الغاية المبتغاة، فاطلب لرجلك قبل + +46 +00:05:21,440 --> 00:05:29,900 +الخطوة موضعها، فمن على زلقا عن غرة زلجا، أي خطط قبل + +47 +00:05:29,900 --> 00:05:35,980 +أن تنفذ، فاطلب لرجلك قبل الخطوة، الخطوة يعني الأخذ + +48 +00:05:35,980 --> 00:05:42,000 +بالسلوك، الجانب السلوكي، الجانب التنفيذي، فخطط قبل أن + +49 +00:05:42,000 --> 00:05:52,430 +تنفذ، لأن من يعلم متلفة عن مجهول العواقب فإنه سيقع + +50 +00:05:52,430 --> 00:06:00,910 +في مصيبة على حين غرة، ستفاجئه المصائب، لذلك على + +51 +00:06:00,910 --> 00:06:09,450 +الإنسان أن يخطط قبل التنفيذ، أيضا وجدنا قصائد كاملة + +52 +00:06:09,450 --> 00:06:16,950 +تتحدث عن صفات الصديق ومفهوم الصداقة، وإنما كان هذا + +53 +00:06:16,950 --> 00:06:22,690 +كما قلت لسبب التطور العقلي وأن العقل العربي قد + +54 +00:06:22,690 --> 00:06:30,030 +أصبح دقيقا وارتقى إلى ... إلى درجات عالية في + +55 +00:06:30,030 --> 00:06:36,990 +التفكير وفي المعرفة، فقال حمد عجرد في صفات الصديق + +56 +00:06:36,990 --> 00:06:43,130 +والصداقة كم من أخ لك لست تنكره ما دمت من دنياك في + +57 +00:06:43,130 --> 00:06:52,030 +يسرى، يتصنع لك في مودته، يلقاك بالترحيب والبشر، يقل + +58 +00:06:52,030 --> 00:06:58,170 +الوفاء وذا وفائي، ويلحى الغدر مجتهدا، وذا غدري + +59 +00:06:58,170 --> 00:07:07,290 +فإذا عدا والدهر ذو غير دهر عليك، عدا مع الدهر، فارفض + +60 +00:07:07,290 --> 00:07:15,890 +بإجمال مودة من يقل المقلة ويعشق المثري، وعليك من + +61 +00:07:15,890 --> 00:07:22,630 +حالاه واحدة في العسر، إما كنت واليسر لا تخلطنهم + +62 +00:07:22,630 --> 00:07:31,810 +بغيرهم، من يخلط العقيان بالصفر، طبعا في هذه الأبيات + +63 +00:07:31,810 --> 00:07:37,530 +يضع لنا حمد عجرد الصفات التي ينبغي أن تكون في + +64 +00:07:37,530 --> 00:07:44,710 +الصديق ومواصفات أو مفهوم الصداقة، فهناك أخوة كثير + +65 +00:07:44,710 --> 00:07:55,190 +يتواجدون عندما تكون في حالة يسر، في حالة اليسر يكون + +66 +00:07:55,190 --> 00:08:04,640 +هناك أخوة كثير، معنى ذلك أن ... أن هناك أخوة تجمعهم + +67 +00:08:04,640 --> 00:08:11,780 +المصالح، المبادئ، ولذلك قال ... قال كم من أخين يعني + +68 +00:08:11,780 --> 00:08:19,420 +كثيرا من الأخوة يكونون عندك عندما تكون ميسورا + +69 +00:08:19,420 --> 00:08:27,530 +وصاحباتوا هؤلاء ما يـلـيش متصنع، يعني يركز على الجانب + +70 +00:08:27,530 --> 00:08:34,790 +السلوكي، لأنه يعني ليست لديه مبادئ في الصداقة، إنما + +71 +00:08:34,790 --> 00:08:42,150 +لديه سلوك الصداقة فقط، أما المبدأ فلا يوجد، ولذلك هو + +72 +00:08:42,150 --> 00:08:47,910 +يتعامل بالتصنع، فالمتصنع هو الذي يظهر خلاف ما يبطن + +73 +00:08:49,030 --> 00:08:57,630 +يظهر السلوك الجميل الرائع، لكنه يخفي المشاعر + +74 +00:08:57,630 --> 00:09:04,390 +السيئة، متصنع لك في مودته، يلقاك بالترحيب والبشر + +75 +00:09:06,830 --> 00:09:13,770 +متصنع لك في مودته، والمودة هي فعل الود، فهناك فرق + +76 +00:09:13,770 --> 00:09:21,530 +بين المودة والود، المودة هي أفعال الود، أي الود في + +77 +00:09:21,530 --> 00:09:26,650 +الحالة السلوكية، مودة، وكذلك محبة، وإن كان المعجم + +78 +00:09:26,650 --> 00:09:34,070 +العربي لا يفرق بين الحب والمحبة، فكلاهما واحد، لكننا + +79 +00:09:34,070 --> 00:09:39,650 +نجد أن القرآن يفرق بين ذلك، فنجد كلمة المحبة في + +80 +00:09:39,650 --> 00:09:48,710 +قوله تعالى: "وألقيت عليك محبتي"، ووجدنا + +81 +00:09:48,710 --> 00:09:54,430 +كلمة الحب، "والذين آمنوا أشد حبًا لله"، فالحب هو + +82 +00:09:54,430 --> 00:09:55,110 +القيمة + +83 +00:09:57,750 --> 00:10:03,430 +والمحبة هي أيه؟ هي أفعاله، الأفعال التي تعبر عن + +84 +00:10:03,430 --> 00:10:09,490 +الحب، والمودة هي الأفعال التي تعبر عن الود، يلقاك + +85 +00:10:09,490 --> 00:10:16,450 +بالترحيب والبشر، هذه هي أفعال المودة اللي هو + +86 +00:10:16,450 --> 00:10:24,230 +الترحيب بأن يأتي بالعبارات الجميلة والألقاب الفخمة + +87 +00:10:24,230 --> 00:10:35,390 +والبشر هو إظهار الإبتسامات المصطنعة والضحكات + +88 +00:10:35,390 --> 00:10:44,170 +الصفراء، كما يقال، متصنع لك في مودته، يلقاك بالترحيب + +89 +00:10:44,170 --> 00:10:51,010 +والبشر، يطر الوفاء، وذا وفائه، ويلحى الغدر مجتهدا + +90 +00:10:51,010 --> 00:10:57,470 +وذا غدري، يطر يعني يمدح الوفاء قيمة ونماذج، وذا + +91 +00:10:57,470 --> 00:11:06,820 +الوفاء، ويكره الغدر قيمة ونماذج، وذا الوفاء يعني + +92 +00:11:06,820 --> 00:11:10,840 +هو الإنسان الوفي، لكن هناك فرق بين الإنسان الوفي و + +93 +00:11:10,840 --> 00:11:15,760 +ذا الوفاء، الوفي من الفعل، من فعل الوفاء، لكن ذا + +94 +00:11:15,760 --> 00:11:25,940 +الوفاء يعني يملك يعني يفي وزيادة، فذا وفائي أبلغ + +95 +00:11:25,940 --> 00:11:32,190 +من الوفاء، لأن الوفاء هو الذي يقوم بأفعال الوفاء، لكن + +96 +00:11:32,190 --> 00:11:39,870 +وذا الوفاء يعني يفعل أفعال الوفاء وزيادة، يعني عنده + +97 +00:11:39,870 --> 00:11:47,230 +إمكانية الزيادة، ولذلك الله سبحانه وتعالى ذو الجلال + +98 +00:11:47,230 --> 00:11:56,710 +والإكرام وذو المغفرة، لأن لديه قدرة وزيادة، ولديه + +99 +00:11:56,710 --> 00:11:57,910 +علم وزيادة + +100 +00:12:00,310 --> 00:12:06,150 +فإذا عدا والدهر ذو غير دهر عليك، عدا مع الدهر، عدا + +101 +00:12:06,150 --> 00:12:11,530 +الأولى من العداوة، وعدا الثانية من العدو يعني الجري + +102 +00:12:11,530 --> 00:12:22,550 +فإذا عدا دهر يعني إذا أصابك دهر بمصيبة جار + +103 +00:12:22,550 --> 00:12:30,780 +الدهر في عدوته يعني في مصيبته فكان عونا للدهري في + +104 +00:12:30,780 --> 00:12:37,880 +المصيبة، في زيادة المصيبة، فبدل أن تكون في مصيبة + +105 +00:12:37,880 --> 00:12:45,620 +تصبح مع هذا الصديق المتصنع بمصيبتين، وإذا أصبتك + +106 +00:12:45,620 --> 00:12:54,460 +مشكلة أصبح لديك أصبحت لديك مشكلتان، وهكذا + +107 +00:12:56,960 --> 00:13:05,100 +ترفض بإجمال مودة من يقلي المقلة ويعشق المثري، ارفض + +108 +00:13:05,100 --> 00:13:16,120 +بتجمل، بأدب مودة هؤلاء الذين يكرهون الفقراء ويعشقون + +109 +00:13:16,120 --> 00:13:25,560 +الأثرياء، فارفض بإجمال مودة الذي يكره الفقير ويعشق + +110 +00:13:25,560 --> 00:13:33,980 +الغني والزم وعليك من حالاه واحدة، الزم أولئك الذين + +111 +00:13:33,980 --> 00:13:40,780 +يعني يلتزمون بالصفة الثابتة في القيمة الخلقية وهي + +112 +00:13:40,780 --> 00:13:49,230 +الصداقة، وابتعد عن الذين يجعلون الصداقة حال وليست + +113 +00:13:49,230 --> 00:13:56,890 +صفة ثابتة، بمعنى أنهم يعني ينظرون إلى الصداقة + +114 +00:13:56,890 --> 00:14:04,990 +كمصلحة وليس كمبدأ، وعليك لأن المبدأ يكون ثابتا + +115 +00:14:04,990 --> 00:14:13,480 +المبدأ يرتبط بالصفة الثابتة زي الكرم زي الشجاعة، مثل + +116 +00:14:13,480 --> 00:14:20,360 +الصبر، هذه قيم ثابتة بمعنى أنها تستغرق الزمن أو أن + +117 +00:14:20,360 --> 00:14:27,040 +جمالها يستغرق الزمن والمكان والموضوع، فالكريم لا + +118 +00:14:27,040 --> 00:14:34,040 +يكون كريم إلا بإرادته للكرم، يعني أن يكون صادقا في + +119 +00:14:34,040 --> 00:14:39,890 +كرمه، وأن يكون مستغرقًا في كرمه للزمن، بمعنى أنه + +120 +00:14:39,890 --> 00:14:48,870 +يُعطي صيفًا وشتاءً، وفي المكان يُطعم شرقًا وغربًا، + +121 +00:14:48,870 --> 00:14:55,250 +غورًا ونجدًا، أهل الحاضرة والبادية، وموضوعًا + +122 +00:14:55,250 --> 00:15:00,650 +تلعسري واليسري، إذاً إيه؟ الأخلاق تلتزم بالصفة + +123 +00:15:00,650 --> 00:15:06,850 +الثابتة، أما السياسة فتلتزم بالمصلحة، بالحال، + +124 +00:15:07,400 --> 00:15:15,260 +ملتزمة بالتغير، وعليك من حالاه واحدة يعني الذي لديه + +125 +00:15:15,260 --> 00:15:25,600 +الصداقة مبدأ وقيمة وليست حالة أو سياسة أو نحو ذلك + +126 +00:15:25,600 --> 00:15:33,070 +لأن هناك فرق بين السياسة والأخلاق، السياسة مرتبطة + +127 +00:15:33,070 --> 00:15:41,370 +بالأحوال، والأخلاق مرتبطة بالصفات الثابتة، الأخلاق + +128 +00:15:41,370 --> 00:15:46,930 +تقوم على القضية، والسياسة تقوم على المصلحة، ففي فرق + +129 +00:15:46,930 --> 00:15:54,770 +بينهما، وعليك من حالاه واحدة يعني ألزم الأصدقاء أصحاب + +130 +00:15:54,770 --> 00:16:00,520 +المبادئ في العسر، إما كنت واليسر، يعني الذين + +131 +00:16:00,520 --> 00:16:05,080 +يلتزمون بهذه الصفة في حالتي العسر واليسر، يعني + +132 +00:16:05,080 --> 00:16:11,000 +صفة الصداقة ثابتة لا تتغير بتغير الأحوال، لا + +133 +00:16:11,000 --> 00:16:18,120 +تخلطنهم، لا تخلطن أصحاب المبادئ بأصحاب المصالح، كمن + +134 +00:16:18,120 --> 00:16:26,940 +يخلط الذهب بالنحاس، فمن حيث اللون يتشابهان، لكن من + +135 +00:16:26,940 --> 00:16:34,300 +ناحية الحقيقة يختلفان، فلا تخلط، أنهم عليك أن تميز + +136 +00:16:34,300 --> 00:16:38,040 +أصحاب المبادئ عن أصحاب المصالح + +137 +00:16:39,810 --> 00:16:46,210 +أيضا وجدنا قصيدة أخرى فيها صفة الموضوعية يعني + +138 +00:16:46,210 --> 00:16:51,670 +تتناول موضوعا واحدا وهو التحذير من الحماقة + +139 +00:16:51,670 --> 00:16:57,570 +والحماقة والأحمق كما يقول أبو العتاهية شاعر الزهد + +140 +00:16:57,570 --> 00:17:04,710 +في هذا العصر، احذر الأحمق أن تصحبه، إنما الأحمق كثوب + +141 +00:17:04,710 --> 00:17:11,980 +الخلق، كل ما رقعته من جانب زعزعته الريح يوما فانخرق، + +142 +00:17:11,980 --> 00:17:20,200 +أو كصدع في زجاج فاحش، هل ترى صدع زجاج يلتسق، فإذا + +143 +00:17:20,200 --> 00:17:27,380 +عاتبته كِيرْعوي زاد شرًا وتَـمادى في الحمق، طبعًا ينبهنا + +144 +00:17:27,380 --> 00:17:32,320 +إلى خاطر الأحمق، الأحمق الذي ليست لديه قاعدة + +145 +00:17:32,320 --> 00:17:40,330 +أخلاقية يحتكم إليها حين الخطأ، فقير للمنظومة + +146 +00:17:40,330 --> 00:17:48,950 +الأخلاقية، ممكن إنسان يخطئ لكن إيه عندما نرجعه إلى + +147 +00:17:48,950 --> 00:17:57,600 +القاعدة الأخلاقية يستقيم ويصلح أمره، لكن الأحمق ليست + +148 +00:17:57,600 --> 00:18:04,200 +لديه قاعدة أخلاقية يحتكم إليها، فهو كثوب البالي + +149 +00:18:04,200 --> 00:18:11,520 +المهترئ، إذا انمزق هذا الثوب فلا يمكن إصلاحه، لكن لو + +150 +00:18:11,520 --> 00:18:20,870 +كان هذا الثوب جديدا وانمزق فممكن رتق هذا الثوب، احذر + +151 +00:18:20,870 --> 00:18:28,450 +الأحمق أن تصحبه، إنما الأحمق كثوب الخلق، كل ما رقعته + +152 +00:18:28,450 --> 00:18:34,810 +من جانب زعزعته الريح يوما فانخرق، فالأحمق كما قلت + +153 +00:18:34,810 --> 00:18:38,970 +ليست لديه قاعدة أخلاقية، كثوب البالي، فهذا الثوب + +154 +00:18:38,970 --> 00:18:48,450 +البالي إذا رتقناه من جانب، اتسعت الرقع على الرقع أو + +155 +00:18:48,450 --> 00:18:57,300 +الرقع على الراتق، تشبيه آخر أو كصدع في زجاج فاحش، + +156 +00:18:57,300 --> 00:19:05,040 +هل ترى صدع زجاج يلتسق؟ كذلك الزجاج إذا أصيب بكسر + +157 +00:19:05,040 --> 00:19:12,320 +كبير، فاحش، فلا يمكن إصلاح هذا الزجاج، لا يمكن أن + +158 +00:19:12,320 --> 00:19:15,360 +نلتصق بعضه ببعض + +159 +00:19:17,450 --> 00:19:23,670 +وهذا الأحمق إذا عاتبته كي يمنع عن غيه وعن جهله + +160 +00:19:23,670 --> 00:19:31,530 +زاد شرًا وتَـمادى في الحمق، زاد شرًا زاد في أفعال الشر + +161 +00:19:31,530 --> 00:19:38,990 +وتمادى في أفعال الحماقة لأنه لا يرجع إلى قاعدة + +162 +00:19:38,990 --> 00:19:44,910 +أخلاقية يمكن أن تصوب خطأه وتصلح شأنه + +163 +00:19:48,940 --> 00:19:53,820 +كذلك من الموضوعات الجديدة التي رأيناها تستحوذ على + +164 +00:19:53,820 --> 00:19:59,860 +رؤية الشاعر فيحيلها إلى تج + +201 +00:24:23,680 --> 00:24:31,680 +والتفكير المتواصل فقال دعبل الخزاعي ألم يأنِ للسفر + +202 +00:24:31,680 --> 00:24:39,620 +الذين تحملوا إلى وطن قبل موت رجوعه فقلت ولم أملك + +203 +00:24:39,620 --> 00:24:48,280 +صوابق عبرة نطقنا بما ضمت عليه ضلوعه تبين لكم دار + +204 +00:24:48,280 --> 00:24:54,680 +تفرق شملها وشمل شتيت عاد وهو جميعه كذا كالليالي + +205 +00:24:54,680 --> 00:25:02,660 +كذا كالليالي صرفهن كما ترا لكل أناس جدبة وربيع + +206 +00:25:02,660 --> 00:25:12,200 +الإحساس رق بارتقاء العقل ألم يأنِ للسفر وهنا + +207 +00:25:12,200 --> 00:25:21,560 +استفهام مجازي غرضه التقرير ألم يقنِ للسفر يعني بلى + +208 +00:25:21,560 --> 00:25:27,800 +بلى الجواب ببله يعني استفهام زاده نفي ألم يقنِ ألم + +209 +00:25:27,800 --> 00:25:37,660 +يحن الوقت للسفر الصفر هم الرقب الصفر جمعة سافر + +210 +00:25:37,660 --> 00:25:40,980 +مأخوذة + +211 +00:25:40,980 --> 00:25:48,580 +اسم فاعل من الثلاثي صفر أما مسافر فهي مأخوذة من + +212 +00:25:48,580 --> 00:25:59,600 +الرباعي سافرة مسافر والسفر في هذا السياق أبلغ من + +213 +00:25:59,600 --> 00:26:09,350 +المسافركما نرى في الفرق بين قاتل ومقاتل قاتل من + +214 +00:26:09,350 --> 00:26:15,470 +الثلاثي قتلى ومقاتل من الرباعي قاتلة والفرق بين + +215 +00:26:15,470 --> 00:26:21,910 +الثلاثي والرباعي أن الفعل الثلاثي يفيد الإرادة + +216 +00:26:21,910 --> 00:26:27,910 +إرادة إيه يعني الإرادة زائد الفعل إرادة السفر زائد + +217 +00:26:27,910 --> 00:26:34,870 +فعل السفر وقاتل عنده إرادة القتل، معنى القتل، أما + +218 +00:26:34,870 --> 00:26:42,650 +مقاتل فقد لا تكون لديه إرادة القتل، ممكن تكون لديه + +219 +00:26:42,650 --> 00:26:47,810 +إرادة دفع القتل، منع القتل، ولذلك نجد أن القرآن + +220 +00:26:47,810 --> 00:26:55,030 +الكريم وصف اليهود بأنهم قتلوا، فلماذا تقتلون + +221 +00:26:55,030 --> 00:26:56,130 +أنبياء الله؟ + +222 +00:27:00,120 --> 00:27:05,140 +فالقتل فيه إرادة القتل ذات فعل القتل واللي بيبقى + +223 +00:27:05,140 --> 00:27:12,000 +يسموهم قتلة فلم تقتلونا وعبّر بالفعل المضارع وطبعًا + +224 +00:27:12,000 --> 00:27:18,860 +ليبين أن إرادة القتل فيهم موجودة فلم تقتلونا + +225 +00:27:18,860 --> 00:27:24,940 +أنبياء الله من قبل وثّق هذه الجريمة تاريخيًا فقال من + +226 +00:27:24,940 --> 00:27:31,020 +قبل ولكنه عبّر بالفعل المضارع ليشير إلى أن هذه + +227 +00:27:31,020 --> 00:27:38,100 +الإرادة إرادة القتل موجودة فيهم فأيما أمسكت بأحدهم + +228 +00:27:38,100 --> 00:27:44,020 +فقد أمسكت بالقاتل وهنا طبعًا أيه دلالة أيه الصفر + +229 +00:27:45,490 --> 00:27:52,770 +أبلغ في هذا السياق من المسافرين لأنه إيه؟ تشمل + +230 +00:27:52,770 --> 00:28:00,350 +إرادة السفر وفعل السفر ألم يقنِ للسفر الذين تحملوا + +231 +00:28:00,350 --> 00:28:06,930 +يعني إيه؟ تحملوا العناء والغربة والشوق إلى وطن قبل + +232 +00:28:06,930 --> 00:28:13,480 +مَمَاتِ رجوعه الجواب بلى فقلت ولم أملك ثوابق عبرة + +233 +00:28:13,480 --> 00:28:19,720 +عبرة يعني دمعة فارق بين عبرة وعبرة العبرة هي + +234 +00:28:19,720 --> 00:28:26,260 +الدمعة والعبرة هي الفكرة ولم أملك ثوابق عبرة يعني + +235 +00:28:26,260 --> 00:28:33,760 +دمعة هذه الدمعة يعني نطقت بما ضمت عليه الظلوع من + +236 +00:28:33,760 --> 00:28:41,850 +الحنين والشوق إلى الرجوع والعودة للوطنتبين لكم دار + +237 +00:28:41,850 --> 00:28:50,390 +تفرق شملها وشمل شتيت عاد وهو جميعه تبين خذ العبرة + +238 +00:28:50,390 --> 00:28:58,060 +في حركة الزمن وعلاقة الناس به فهناك من تجمعوا وهناك + +239 +00:28:58,060 --> 00:29:08,400 +من تفرقوا فالزمن وهذا هو يعني فعله يفرق ويجمع لكل + +240 +00:29:08,400 --> 00:29:18,900 +أناس جدبة يعني تفرق وربيعه واجتماعه فهذا الحال من + +241 +00:29:18,900 --> 00:29:26,300 +التفرق والاجتماع إلى حال الزمن وتصيب الناس يفترقون + +242 +00:29:26,300 --> 00:29:35,160 +ثم يجتمعون إذا الملاحظ أننا هنا وجدنا أن الإحساس + +243 +00:29:35,160 --> 00:29:41,120 +بالحنين للوطن قدم في هذا العصر بفعل تطور الحضارة + +244 +00:29:42,570 --> 00:29:49,310 +والثقافة كذلك وجدنا مفهوم الوطن أيضًا يتعمق في هذا + +245 +00:29:49,310 --> 00:29:57,610 +العصر ونجد ذلك واضحًا لدى الشعراء الذين لا ينتمون + +246 +00:29:57,610 --> 00:30:03,990 +إلى أصول عربية كابن الرومي فابن الرومي لا ينتمي إلى + +247 +00:30:03,990 --> 00:30:13,390 +أصل عربي أمر آخر أنه كان يعني متماسكًا بمتطلبات + +248 +00:30:13,390 --> 00:30:20,170 +الحضارة في هذا العصر وقد رأيناه قد يعني مدح جوانب + +249 +00:30:20,170 --> 00:30:26,490 +كثيرة من الحضارة المادية في هذا العصر فيما يتعلق + +250 +00:30:26,490 --> 00:30:32,410 +بالمأكلات والمطعمات وغير + +251 +00:30:32,410 --> 00:30:40,710 +ذلك فقد أفاض فيها الحديث وبتمسكه بالحضارة الحضارة + +252 +00:30:40,710 --> 00:30:47,130 +المادية وجدنا لديه أمراض من الحضارة لأن الحضارة + +253 +00:30:47,130 --> 00:30:53,230 +لها أمراض أحيانًا فمن الأمراض التي أصيبته والتي + +254 +00:30:53,230 --> 00:30:58,230 +أصابت ابن رومي التشاؤم فهو شاعر التشاؤم في هذا + +255 +00:30:58,230 --> 00:31:06,230 +العصر والتشاؤم مرض حضاري من الأسباب التي يعني + +256 +00:31:06,230 --> 00:31:10,810 +تورثه الحضارة المادية أنها يعني تزرع التشاؤم عند + +257 +00:31:10,810 --> 00:31:16,910 +الإنسان والقلق فمن الأمراض الحضارية التي أصابته هو + +258 +00:31:16,910 --> 00:31:19,810 +مرض التشاؤم + +259 +00:31:20,660 --> 00:31:27,060 +وقد أشرنا إلى ذلك مرارًا فيما سبق ويعني عندما + +260 +00:31:27,060 --> 00:31:32,680 +نتناول شخصية ابن رومي سنرى أن التشاؤم ليس نزعة فقط + +261 +00:31:32,680 --> 00:31:40,410 +عند ابن رومي بل هو أيه ثقافة إذًا مفهوم الوطن نمى + +262 +00:31:40,410 --> 00:31:43,890 +وظهر عند الشعراء الذين لا ينتمون إلى أصولهم + +263 +00:31:43,890 --> 00:31:47,930 +العربية، هذا واحد الشيء الثاني عند الشعراء الذين + +264 +00:31:47,930 --> 00:31:56,830 +تمسكوا بالمظاهر الحضرية في هذا العصر يقول ابن + +265 +00:31:56,830 --> 00:32:04,150 +الرومي لي وطن آليت ولا أبيعه ولا أرى غيري له + +266 +00:32:04,150 --> 00:32:10,100 +الدهر مالكة عهدت به شرخ الشباب ونعمة كنعمة قوم + +267 +00:32:10,100 --> 00:32:16,800 +أصبحوا في ظلالك وحبب أوطان الرجال إليهم مقارب قد + +268 +00:32:16,800 --> 00:32:23,240 +داها الرجال هناك إذا ذكروا أوطانهم ذكرتهم عهود + +269 +00:32:23,240 --> 00:32:32,440 +الصبا فيها فحنوا لذلك كما قلت أن الشاعر العربي يرى + +270 +00:32:32,440 --> 00:32:38,180 +نفسه أكبر من أن يربط مصيره ببقعة من الأرض سواء في + +271 +00:32:38,180 --> 00:32:42,740 +العصر الجاهلي وحتى في هذا العصر العباسي كما نجد + +272 +00:32:42,740 --> 00:32:49,000 +عند أبي تمام وهو ينتمي إلى أصول عربية عريقة ينتمي + +273 +00:32:49,000 --> 00:32:57,700 +إلى قبيلة طيء قال أبو تمام الطائي يفتخر بنفسه خليفة + +274 +00:32:57,700 --> 00:33:04,100 +الخضر من يربع على وطن في بلدة فظهور العيس أوطاني + +275 +00:33:04,100 --> 00:33:11,380 +العربي كان يعتز ويرى أن وطنه هو ظهور العيس وليس + +276 +00:33:11,380 --> 00:33:17,110 +بقعة من الأرض أما ابن الرومي هنا، فنجده أيه؟ يعني + +277 +00:33:17,110 --> 00:33:23,950 +أكثر اعتزازًا بالوطن لي وطن، لي وطن، + +278 +00:33:23,950 --> 00:33:24,610 +لي وطن، لي وطن، لي وطن، لي وطن، لي وطن، لي + +279 +00:33:24,610 --> 00:33:24,810 +وطن، لي وطن، لي وطن، لي وطن، لي وطن، لي وطن، + +280 +00:33:24,810 --> 00:33:27,230 +لي وطن، لي وطن، لي وطن، لي وطن، لي وطن، لي + +281 +00:33:27,230 --> 00:33:27,890 +وطن، لي وطن، لي وطن، لي وطن، لي وطن، لي وطن، + +282 +00:33:27,890 --> 00:33:29,810 +لي وطن، لي وطن، لي وطن، لي وطن، لي وطن، لي + +283 +00:33:29,810 --> 00:33:41,730 +وطن، لي وطن، ولي + +284 +00:33:41,730 --> 00:33:50,850 +وطن، وعهدت به شرق الشباب ونعمة كنعمة قوم أصبحوا في + +285 +00:33:50,850 --> 00:33:56,550 +ظلالك لقد عهدت في هذا الوطن وعشت به أجمل فترات + +286 +00:33:56,550 --> 00:34:05,210 +حياتي كما يعيش فيه الناس اليوم وحبب أوطان الرجال + +287 +00:34:05,210 --> 00:34:11,390 +إليهم مقارب قضاها الرجال هناك هذه العلاقة، علاقة + +288 +00:34:11,390 --> 00:34:17,710 +الحب بين الوطن والناس أو الرجال أن الوطن منح هؤلاء + +289 +00:34:17,710 --> 00:34:23,710 +الرجال معاني كثيرة وصفات كثيرة فالإنسان يكتسب + +290 +00:34:23,710 --> 00:34:31,620 +هويته من وطنه بل إنه يكتسب أيضًا علاقته بالمطعمات + +291 +00:34:31,620 --> 00:34:38,420 +والمشروبات والملابس من وطنه، يأخذ من الوطن الذين، + +292 +00:34:38,420 --> 00:34:45,340 +وطعم الأشياء، طعم المأكلات، أنظمة الأكل، أنظمة + +293 +00:34:45,340 --> 00:34:48,960 +الشرب، اللباس، كلها يأخذ من الوطن، فالوطن يمنح + +294 +00:34:48,960 --> 00:34:53,180 +الإنسان أشياء كثيرة، ويقدم له فوائد كثيرة، أكثر + +295 +00:34:53,180 --> 00:34:59,090 +مما يقدم الإنسان للوطن، الوطن يعطيك الهوية، يعطيك + +296 +00:34:59,090 --> 00:35:05,210 +المعتقد، العادات، التقاليد، المذاقات، الأهواء + +297 +00:35:07,420 --> 00:35:15,140 +فالوطن هو الذي يمنح الإنسان كل مظاهر الحياة وكل + +298 +00:35:15,140 --> 00:35:22,540 +مظاهر الثقافة والفكر والعداد والتقاليد إذا ذكروا + +299 +00:35:22,540 --> 00:35:28,640 +أوطانهم ذكرتهم عهود الصبا فيها فحنوا لذلك أيضًا + +300 +00:35:28,640 --> 00:35:35,900 +الوطن يحتفظ بالذاكرة بذاكرتك الوطن هو الذي يعني + +301 +00:35:35,900 --> 00:35:46,680 +يذكرك بأجمل اللحظات وخاصة لحظات الصباح إذا الوطن + +302 +00:35:46,680 --> 00:35:51,660 +له فائدة عظيمة على الإنسان فهو الذي يمنحك كل + +303 +00:35:51,660 --> 00:36:00,700 +الأشياء من ثقافة ومعتقد وملبس ومأكل ومشرب وغير ذلك + +304 +00:36:04,270 --> 00:36:09,030 +فإذا ابن رومي ينطلق في حبه الوطن من موقف رؤيوي، + +305 +00:36:09,030 --> 00:36:15,450 +ناضج، بسبب الثقافة والفكر الذي ارتقى في هذا العصر + +306 +00:36:15,450 --> 00:36:17,110 +رقيًا كبيرًا، diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..083df4c32b44949db1bce9f4de08e20bb760cd60 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds_postprocess.srt @@ -0,0 +1,1224 @@ +1 +00:00:04,940 --> 00:00:07,500 +بسم الله الرحمن الرحيم و أصلي و أسلم على نبينا + +2 +00:00:07,500 --> 00:00:11,800 +محمد و على آله و صحبه و أسلم تسليما كثيرا و بعد + +3 +00:00:11,800 --> 00:00:18,060 +هذه المحاضرة هي بعنوان موضوعات جديدة في الشعر + +4 +00:00:18,060 --> 00:00:23,880 +العباسيوكما قلنا فيما سبق من أن العقل العربي في + +5 +00:00:23,880 --> 00:00:31,600 +هذه المرحلة قد اتسعى وارتقى إلى درجات عالية من + +6 +00:00:31,600 --> 00:00:38,420 +الفكر الدقيق والتأمل الارتقائي وهذا أدى إلى أن + +7 +00:00:38,420 --> 00:00:43,260 +الأفكار التي كانت تأتي عرضا في القصيدة القديمة + +8 +00:00:43,260 --> 00:00:48,520 +أصبحت هذه الأفكار أو هذه المعاني تأتي في قصيدة + +9 +00:00:48,520 --> 00:00:57,700 +كاملةفطبعت القصيدة العباسية بطابع الموضوعية فقد + +10 +00:00:57,700 --> 00:01:03,660 +وجدنا قصائد تحتفظ بالموضوعية بمعنى أنها احتوت على + +11 +00:01:03,660 --> 00:01:12,190 +موضوعواحد فنجد مقطوعة في الصبر واخرى في الحلم + +12 +00:01:12,190 --> 00:01:18,970 +واخرى في التنفير من الجأس كما قال محمد ابن ياسير + +13 +00:01:18,970 --> 00:01:25,970 +لا تيأسن وإن طالت مطالبة إذا استعنت بصبر أن ترا + +14 +00:01:25,970 --> 00:01:34,050 +فرجا إن الأمور إذا انسدت مثالكهافالصبر يفتح منها + +15 +00:01:34,050 --> 00:01:41,450 +كل مرتجة أخلق بذي الصبر أن يحظى بحاجته ومدمن القرع + +16 +00:01:41,450 --> 00:01:48,470 +للأبواب أن يلجى فاطلب لرجلك قبل الخطوة موضعها فمن + +17 +00:01:48,470 --> 00:01:57,130 +على زلقا عن غرة زلجا لا تيأسن طبعا هنا دعوة إلى + +18 +00:01:57,130 --> 00:02:04,640 +التخليةمن اليأس وهذا لا يقال إلا إذا كان هناك صبر + +19 +00:02:04,640 --> 00:02:15,200 +مسبق يعني اصبر ولا تيأس فكلمة لا تيأس انما تقال + +20 +00:02:15,200 --> 00:02:24,280 +بعد وجود صبر ومعناها إذا هنا الصبر الجميل الصبر + +21 +00:02:24,280 --> 00:02:33,180 +بلا يأسمتى يكون الصبر جميلا إذا كان خاليا من اليأس + +22 +00:02:33,180 --> 00:02:42,980 +أو الجزع لا تيأسن دعوة إلى الصبر الجميل صبر بلا + +23 +00:02:42,980 --> 00:02:49,990 +يأسصبر يخلو من المفردات السالبة والعوارض المانعة + +24 +00:02:49,990 --> 00:02:55,610 +وإن طالت مطالبة إذا استعانت بصبر أن ترى فرجها + +25 +00:02:55,610 --> 00:03:03,900 +وإنما أكد الشاعربنون التوكيد الثقيلة فقال لا تيأسن + +26 +00:03:03,900 --> 00:03:09,640 +إذ بإمكانه أن يقول لا تيأس أو أن يقول لا تيأسن + +27 +00:03:09,640 --> 00:03:14,120 +بنون التوكيد الخفيفة وإنما قال بنون التوكيد + +28 +00:03:14,120 --> 00:03:22,270 +الثقيلة ليؤكد أن هناك حقيقة في الكونأو في الحياة + +29 +00:03:22,270 --> 00:03:30,130 +اللي لا تتخلف وهي أن الصبر مشفوع بالفرج وأن العسرة + +30 +00:03:30,130 --> 00:03:37,530 +مشفوع باليسر وأن المصائب تتلوها الرغائب كما رأينا + +31 +00:03:37,530 --> 00:03:43,420 +في شعر أبي تمام فيما سبقعندما قال ذريني وأهوال + +32 +00:03:43,420 --> 00:03:52,260 +الزمان أُفانها فأهواله العظمة تليها رغائبه إن + +33 +00:03:52,260 --> 00:03:56,640 +الأمور إذا اتسدت مسالكها فالصبر يفتح منها كل ما + +34 +00:03:56,640 --> 00:04:02,740 +ارتجهافالصبر هو طبعا حقيقة أن الصبر هو الخيار + +35 +00:04:02,740 --> 00:04:10,800 +المطلوب وهو الموقف الأخير الذي ينبغي أن يحافظ عليه + +36 +00:04:10,800 --> 00:04:17,160 +هو الجدار الأخير لأن ما بعد الصبر هو الفرج فالصبر + +37 +00:04:17,160 --> 00:04:23,670 +هو مفتاح الفرج كما هو متقرر في العقل الجمعيفالصبر + +38 +00:04:23,670 --> 00:04:30,070 +يفتح منها كل مرتجة أخلق بذي الصبري أسلوب تعجب + +39 +00:04:30,070 --> 00:04:38,200 +أسلوب التعجب له صيغتان أفعل بيه ما أفعلهأخلق من + +40 +00:04:38,200 --> 00:04:44,600 +الصبر أن يحظى بحاجته ومدمن القرع للأبواب أن يلجى + +41 +00:04:44,600 --> 00:04:52,820 +ما أجدر الإنسان الصابر في أن يتحصل على بغيته أو + +42 +00:04:52,820 --> 00:05:00,990 +هدفيه أو غايته لأنه سلك الطريق الصحيح والسليمومدمن + +43 +00:05:00,990 --> 00:05:05,810 +القرع للأبواب أن يلجأ وكذلك الذي يأخذ بالأسباب + +44 +00:05:05,810 --> 00:05:13,310 +فإنه سيلج الأبواب فمن يأخذ بالأسباب سيلج الأبواب + +45 +00:05:13,310 --> 00:05:21,440 +أبواب النجاح وأبواب الغاية المبتغاةفاطلب لرجلك قبل + +46 +00:05:21,440 --> 00:05:29,900 +الخطوى موضعها فمن على زلقا عن غرة زلجا أي خطط قبل + +47 +00:05:29,900 --> 00:05:35,980 +أن تنفذ فاطلب لرجلك قبل الخطوى الخطوى يعني الأخذ + +48 +00:05:35,980 --> 00:05:42,000 +بالسلوك الجانب السلوكي الجانب التنفيذي فخطط قبل أن + +49 +00:05:42,000 --> 00:05:52,430 +تنفذ لأن من يعلوملتفة عن مجهول العواقب فإنه سيقع + +50 +00:05:52,430 --> 00:06:00,910 +في مصيبة على حين غرة ستفاجئه المصائب لذلك علي + +51 +00:06:00,910 --> 00:06:09,450 +الإنسان أن يخطط قبل التنفيذ أيضا وجدنا قصائد كاملة + +52 +00:06:09,450 --> 00:06:16,950 +تتحدث عن صفات الصديق ومفهوم الصداقةوإنما كان هذا + +53 +00:06:16,950 --> 00:06:22,690 +كما قلت لسبب التطور العقلي وأن العقل العربي قد + +54 +00:06:22,690 --> 00:06:30,030 +أصبح دقيقًا وارتقى إلى .. إلى درجات عالية في + +55 +00:06:30,030 --> 00:06:36,990 +التفكير وفي المعرفة فقال حمد عجرد في صفات الصديق + +56 +00:06:36,990 --> 00:06:43,130 +والصداقة كم من أخ لك لست تنكره ما دمت من دنياك في + +57 +00:06:43,130 --> 00:06:52,030 +يسريمتصنع لك في مودته يلقاك بالترحيب والبشر يقل + +58 +00:06:52,030 --> 00:06:58,170 +الوفاء وذال وفائي ويلحى الغدر مجتهدا وذال غدري + +59 +00:06:58,170 --> 00:07:07,290 +فإذا عدا والدهر ذو غير دهر عليك عدا مع الدهر فارفض + +60 +00:07:07,290 --> 00:07:15,890 +بإجمال مودة من يقل المقلة ويعشق المثريوعليك من + +61 +00:07:15,890 --> 00:07:22,630 +حالاه واحدة في العسر إما كنت واليسر لا تخلطنهم + +62 +00:07:22,630 --> 00:07:31,810 +بغيرهم من يخلط العقيان بالصفرطبعا في هذه الأبيات + +63 +00:07:31,810 --> 00:07:37,530 +يضع لنا حمد عجرد الصفات التي ينبغي أن تكون في + +64 +00:07:37,530 --> 00:07:44,710 +الصديق ومواصفات أو مفهوم الصداقة فهناك أخوة كثر + +65 +00:07:44,710 --> 00:07:55,190 +يتواجدون عندما تكون في حالة يثر في حالة اليثر يكون + +66 +00:07:55,190 --> 00:08:04,640 +هناك أخوة كثرمعنى ذلك أن .. أن هناك أخوة تجمعهم + +67 +00:08:04,640 --> 00:08:11,780 +المصالح للمبادئ ولذلك قال .. قال كم من أخين يعني + +68 +00:08:11,780 --> 00:08:19,420 +كثيرا من الأخوة يكونون عندك عندما تكونوا ميسورا + +69 +00:08:19,420 --> 00:08:27,530 +وصتاتوا هؤلاءما يليش متصنع يعني يركز على الجانب + +70 +00:08:27,530 --> 00:08:34,790 +السلوكي لأنه يعني ليست لديه مبادئ في الصداقة لإنما + +71 +00:08:34,790 --> 00:08:42,150 +لديه سلوك الصداقة فقط أما المبدأ فلا يوجد ولذلك هو + +72 +00:08:42,150 --> 00:08:47,910 +يتعامل بالتصنع فالمتصنع هو الذي يظهر خلاف ما يبطن + +73 +00:08:49,030 --> 00:08:57,630 +يظهر السلوك الجميل الرائع لكنه يخفي المشاعر + +74 +00:08:57,630 --> 00:09:04,390 +السيئة متصنع لك في مودته يلقاك بالترحيب والبشر + +75 +00:09:06,830 --> 00:09:13,770 +متصنع لك في مودته والمودة هي فعل الود فهناك فرق + +76 +00:09:13,770 --> 00:09:21,530 +بين المودة والود المودة هي أفعال الود أي الود في + +77 +00:09:21,530 --> 00:09:26,650 +الحالة السلوكية مودة وكذلك محبة وإن كان المعجم + +78 +00:09:26,650 --> 00:09:34,070 +العربي لا يفرق بين الحب والمحبةفكلاهما واحد لكننا + +79 +00:09:34,070 --> 00:09:39,650 +نجد أن القرآن يفرق بين ذلك فنجد كلمة المحبة في + +80 +00:09:39,650 --> 00:09:48,710 +قوله تعالى وألقيت وألقيت عليك محبتي ووجدنا + +81 +00:09:48,710 --> 00:09:54,430 +كلمة الحب والذين آمنوا أشد حبًا لله فالحب هو + +82 +00:09:54,430 --> 00:09:55,110 +القيمة + +83 +00:09:57,750 --> 00:10:03,430 +والمحبة هي أيه؟ هي أفعاله الأفعال التي تعبر عن + +84 +00:10:03,430 --> 00:10:09,490 +الحب والمودة هي الأفعال التي تعبر عن الودةيلقاك + +85 +00:10:09,490 --> 00:10:16,450 +بالترحيبي والبشري هذه هي الأفعال المودة اللي هو + +86 +00:10:16,450 --> 00:10:24,230 +الترحيب بأن يأتي بالعبارات الجميلة والألقاب الفخمة + +87 +00:10:24,230 --> 00:10:35,390 +والبشر هو إظهار الإبتسامات المصطنعة والضحكات + +88 +00:10:35,390 --> 00:10:44,170 +الصفراء كما يقالمتصنع لك في مودته يلقاك بالترحيب + +89 +00:10:44,170 --> 00:10:51,010 +والبشر يطر الوفاء وذا الوفائه ويلحى الغدر مجتهدا + +90 +00:10:51,010 --> 00:10:57,470 +وذا الغدره يطر يعني يمدح الوفاء قيمة ونموذجا وذا + +91 +00:10:57,470 --> 00:11:06,820 +الوفاءو يكره الغدر قيمة و نموذجا و ذا الوفاء يعني + +92 +00:11:06,820 --> 00:11:10,840 +هو الإنسان الوفي لكن هناك فرق بين الإنسان الوفي و + +93 +00:11:10,840 --> 00:11:15,760 +ذا الوفاء الوفي من الفعل من فعل الوفاء لكن ذا + +94 +00:11:15,760 --> 00:11:25,940 +الوفاء يعني يملك يعني يفي وزيادة فذا الوفائي أبلغ + +95 +00:11:25,940 --> 00:11:32,190 +من الوفيلأن الوفاء هو الذي يقوم بأفعال الوفاء لكن + +96 +00:11:32,190 --> 00:11:39,870 +وذا الوفاء يعني يفعل أفعال الوفاء وزيادة يعني عنده + +97 +00:11:39,870 --> 00:11:47,230 +إمكانية الزيادة ولذلك الله سبحانه وتعالى ذو الجلال + +98 +00:11:47,230 --> 00:11:56,710 +والإكرام وذو المغفرة لأن لديه قدرة وزيادة ولديه + +99 +00:11:56,710 --> 00:11:57,910 +علم وزيادة + +100 +00:12:00,310 --> 00:12:06,150 +فإذا عدا والدهر ذو غير دهر عليك عدا مع الدهر عدا + +101 +00:12:06,150 --> 00:12:11,530 +الأولى من العداوة وعدا الثانية من العدو يعني الجري + +102 +00:12:11,530 --> 00:12:22,550 +فإذا عدا دهر يعني إذا أصابك دهر بمصيبة جار + +103 +00:12:22,550 --> 00:12:30,780 +الدهر في عدوته يعني في مصيبتهفكان عونا للدهري في + +104 +00:12:30,780 --> 00:12:37,880 +المصيبة في زيادة المصيبة فبدل أن تكون في مصيبة + +105 +00:12:37,880 --> 00:12:45,620 +تصبح مع هذا الصديق المتصنع بمصيبتين وإذا أصبتك + +106 +00:12:45,620 --> 00:12:54,460 +مشكلة أصبح لديك أصبحت لديك مشكلتان وهكذا + +107 +00:12:56,960 --> 00:13:05,100 +ترفض بإجمال مودة من يقلي المقلة ويعشق المثري ارفض + +108 +00:13:05,100 --> 00:13:16,120 +بتجمل بأدب مودة هؤلاء الذين يكرهون الفقراءويعشقون + +109 +00:13:16,120 --> 00:13:25,560 +الأسرياء فارفض بإجمال مودة الذي يكره الفقير ويعشق + +110 +00:13:25,560 --> 00:13:33,980 +الغني والزم وعليك من حالاه واحدة الزم أولئك الذين + +111 +00:13:33,980 --> 00:13:40,780 +يعني يلتزمون بالصفة الثابتة في القيمة الخلقية وهي + +112 +00:13:40,780 --> 00:13:49,230 +الصداقةوابتعد عن الذين يجعلون الصداقة حال وليست + +113 +00:13:49,230 --> 00:13:56,890 +صفة ثابتة بمعنى أنهم يعني ينظرون إلى الصداقة + +114 +00:13:56,890 --> 00:14:04,990 +كمصلحة وليس كمبدأ وعليك لأن المبدأ يكون ثابتا + +115 +00:14:04,990 --> 00:14:13,480 +المبدأ يرتبط بالصفة الثابتة زي الكرم زي الشجاعةمثل + +116 +00:14:13,480 --> 00:14:20,360 +الصبر هذه قيم ثابتة بمعنى أنها تستغرق الزمن أو أن + +117 +00:14:20,360 --> 00:14:27,040 +جمالها يستغرق الزمن والمكان والموضوع فالكريم لا + +118 +00:14:27,040 --> 00:14:34,040 +يكون كريم إلا بإرادته للكرم يعني أن يكون صادقا في + +119 +00:14:34,040 --> 00:14:39,890 +كرمه وأن يكون مستغرقافي كرمه للزمن، بمعنى أنه + +120 +00:14:39,890 --> 00:14:48,870 +يُعطي صيفًا وشتاءً، وفي المكان يُطعم شرقًا وغربًا، + +121 +00:14:48,870 --> 00:14:55,250 +غورًا ونجدًا، أهل الحاضرة والبادية، وموضوعًا + +122 +00:14:55,250 --> 00:15:00,650 +تلعسري واليسري، إذاً إيه؟ الأخلاق تلتزم بالصفة + +123 +00:15:00,650 --> 00:15:06,850 +الثابتة، أما السياسة فتلتزم بالمصلحة، بالحال، + +124 +00:15:07,400 --> 00:15:15,260 +ملتزمة بالتغير وعليك من حالاه واحدة يعني الذي لديه + +125 +00:15:15,260 --> 00:15:25,600 +الصداقة مبدأ وقيمة وليست حالة أو سياسة أو نحو ذلك + +126 +00:15:25,600 --> 00:15:33,070 +لأن هناك فرق بين السياسة والأخلاقالسياسة مرتبطة + +127 +00:15:33,070 --> 00:15:41,370 +بالأحوال والأخلاق مرتبطة بالصفات الثابتة الأخلاق + +128 +00:15:41,370 --> 00:15:46,930 +تقوم على القضحية والسياسة تقوم على المصلحة ففي فرق + +129 +00:15:46,930 --> 00:15:54,770 +بينهما وعليك منحله واحدة يعني ألزم الأصدقاء أصحاب + +130 +00:15:54,770 --> 00:16:00,520 +المبادئفي العسري إما كنت واليسري يعني الذين + +131 +00:16:00,520 --> 00:16:05,080 +يلتزمون بهذه الصفة في حالتي العسري واليسري يعني + +132 +00:16:05,080 --> 00:16:11,000 +صفة الصداقة ثابتة لا تتغير بتغير الأحوال لا + +133 +00:16:11,000 --> 00:16:18,120 +تخلطنهم لا تخلطن أصحاب المبادئ بأصحاب المصالحكمن + +134 +00:16:18,120 --> 00:16:26,940 +يخلط الذهب بالنحاس فمن حيث اللون يتشابهان لكن من + +135 +00:16:26,940 --> 00:16:34,300 +ناحية الحقيقة يختلفان فلا تخلط أنهم عليك أن تميز + +136 +00:16:34,300 --> 00:16:38,040 +أصحاب المبادئ عن أصحاب المصالف + +137 +00:16:39,810 --> 00:16:46,210 +أيضًا وجدنا قصيدة أخرى فيها صفة الموضوعية يعني + +138 +00:16:46,210 --> 00:16:51,670 +تتناول موضوعًا واحدًا وهو التحذير من الحماقي + +139 +00:16:51,670 --> 00:16:57,570 +والحماقة والأحمق كما يقول أبو العتاهية شاعر الزهد + +140 +00:16:57,570 --> 00:17:04,710 +في هذا العصر احذر الأحمق أن تصحبه إنما الأحمق كثوب + +141 +00:17:04,710 --> 00:17:11,980 +الخلقكل ما رقعته من جانب زعزعته الريح يوما فانخرط + +142 +00:17:11,980 --> 00:17:20,200 +أو كصدع في زجاج فاحش هل ترى صدع زجاج يلتسق فإذا + +143 +00:17:20,200 --> 00:17:27,380 +عاتبته كيرعوي زاد شرا وتمادا في الحمق طبعا ينبهنا + +144 +00:17:27,380 --> 00:17:32,320 +إلى خاطر الأحمق الأحمق الذي ليست لديه قاعدة + +145 +00:17:32,320 --> 00:17:40,330 +أخلاقية يحتكم إليها حين الخطأفاقر للمنظومة + +146 +00:17:40,330 --> 00:17:48,950 +الأخلاقية ممكن إنسان يخطئ لكن إيه عندما نرجعه إلى + +147 +00:17:48,950 --> 00:17:57,600 +القاعدة الأخلاقية يستقيمويصلح أمره لكن الأحمق ليست + +148 +00:17:57,600 --> 00:18:04,200 +لديه قاعدة أخلاقية يحتكم إليها فهو كثوب البالي + +149 +00:18:04,200 --> 00:18:11,520 +المهترق إذا انمزع هذا الثوب فلا يمكن إصلاحه لكن لو + +150 +00:18:11,520 --> 00:18:20,870 +كان هذا الثوب جديدا وانمزع فممكن رطق هذا الثوباحذر + +151 +00:18:20,870 --> 00:18:28,450 +الأحمق أن تصحبه إنما الأحمق كثوب الخلق كل ما رقعته + +152 +00:18:28,450 --> 00:18:34,810 +من جانب زعزعته الريح يوما فانخرق فالأحمق كما قلت + +153 +00:18:34,810 --> 00:18:38,970 +ليست لديه قاعدة أخلاقية كثوب البالي فهذا الثوب + +154 +00:18:38,970 --> 00:18:48,450 +البالي إذا رتقناهمن جانب اتسعل الرقع على الراطع أو + +155 +00:18:48,450 --> 00:18:57,300 +الرطق على الراتقوتشبيه آخر أو كصدع في زجاج فاحش، + +156 +00:18:57,300 --> 00:19:05,040 +هل ترى صدع زجاج يلتسق؟ كذلك الزجاج إذا أصيب بكسر + +157 +00:19:05,040 --> 00:19:12,320 +كبير، فاحش، فلا يمكن إصلاح هذا الزجاج، لا يمكن أن + +158 +00:19:12,320 --> 00:19:15,360 +نلتسق بعضه بعضا + +159 +00:19:17,450 --> 00:19:23,670 +وهذا الأحمق إذا عاتبته كي يمنع عن غيّه وعن جهله + +160 +00:19:23,670 --> 00:19:31,530 +زاد شرًا وتماد في الحمق زاد شرًا زاد في أفعال الشر + +161 +00:19:31,530 --> 00:19:38,990 +وتماد في أفعال الحماقة لأنه لا يرجع إلى قاعدة + +162 +00:19:38,990 --> 00:19:44,910 +أخلاقية يمكن أن تصوب خطأه وتصلح شأنه + +163 +00:19:48,940 --> 00:19:53,820 +كذلك من الموضوعات الجديدة التي رأيناها تستحوذ على + +164 +00:19:53,820 --> 00:19:59,860 +رؤية الشاعر فيحيلها إلى تجربة الوقوف على الأطلال + +165 +00:19:59,860 --> 00:20:06,160 +فقد رأينا أن الشاعر الجاهلي كان يقف على الأطلال + +166 +00:20:06,160 --> 00:20:15,980 +ولكنه لا يقف طويلا إنه مشغول في صراعه مع الزمنلا + +167 +00:20:15,980 --> 00:20:21,820 +يقف طويلًا أمام الأشياء ولذلك نجد أن القرآن الكريم + +168 +00:20:21,820 --> 00:20:27,880 +قد عاب هذه الطريقة الجاهلية في عدم التأمل والتفكير + +169 +00:20:27,880 --> 00:20:33,440 +الدقيق في الأشياء التي تحيط به فقال تعالى في شأن + +170 +00:20:33,440 --> 00:20:39,700 +الإنسان الجاهلي أفلا ينظرون إلى الإبل كيف خُلقت؟ + +171 +00:20:40,180 --> 00:20:45,940 +هذه القبل الناقة والجمل وغيرها التي ملأت الشعر + +172 +00:20:45,940 --> 00:20:52,480 +العربي وملأت وحضرت في كل مواقف الشاعر الجاهلي + +173 +00:20:52,480 --> 00:20:59,280 +وأحداث الحياة لم يقف الشاعر الجاهلي طويلا أو مليا + +174 +00:20:59,280 --> 00:21:06,600 +أمامهاكان يمر على أشياء مرة الكرام لا يتفحصها ولا + +175 +00:21:06,600 --> 00:21:11,400 +يتأملها لكننا في هذا العصر ومع التفكير المتواصل + +176 +00:21:11,400 --> 00:21:15,960 +والعقل الناضج الذي نضج في هذا العصر وجدنا أن + +177 +00:21:15,960 --> 00:21:22,680 +الشاعر العباسي يقف طويلا أمام الأطلال فقال محمد + +178 +00:21:22,680 --> 00:21:31,130 +ابن ياسير في قصر خربألا يا قصر قصر أنه شجاني أرى + +179 +00:21:31,130 --> 00:21:38,790 +بك بعد أهلك ما شجاني فلو أعفى البلاء ديار قوم لفضل + +180 +00:21:38,790 --> 00:21:45,930 +منهم و لعظم شاني لما كانت ترى بك بينات تلوح عليك + +181 +00:21:45,930 --> 00:21:55,410 +آثار الزمان فهنا نجد أن الشاعر يطير لقوففكلمة ألا + +182 +00:21:55,410 --> 00:22:01,070 +يا ألا الاستفتاحية التي تفتح النداء على أوسع + +183 +00:22:01,070 --> 00:22:07,310 +معانيه أو بكل معاني النداء ألا استفتاحية إنها تطيل + +184 +00:22:07,310 --> 00:22:15,710 +النداء فالشاعر هنا يقف طويلاينادي بأعلى صوته وبكل + +185 +00:22:15,710 --> 00:22:22,370 +معاني النداء على ما لحق هذا القصر وما أصابه من + +186 +00:22:22,370 --> 00:22:36,410 +خراب ولكنه يرى فيه علامات الكرم وعظيم الشأنفلو + +187 +00:22:36,410 --> 00:22:40,890 +أعفى البلاء ديار قوم لفضن منهم والعظم شاني لما + +188 +00:22:40,890 --> 00:22:48,850 +كانت ترى بك بينات تلوح عليك آثار الزمان فعظم هذه + +189 +00:22:48,850 --> 00:22:59,590 +الأخلاق وهذا الفضل الكبير منع الزمن من أن يعفي هذه + +190 +00:22:59,590 --> 00:23:07,800 +الديار فقد ظلت هذه الديارعلامات على كرمهم وعظيم + +191 +00:23:07,800 --> 00:23:15,040 +شأنهم وهذا ما ألهم البحتري فيما بعد في سينيته + +192 +00:23:15,040 --> 00:23:23,460 +المشهورة في إيوان كثرة وإذا كان الشاعر الجاهلي يحن + +193 +00:23:23,460 --> 00:23:29,230 +إلى الديارة، ديار المحبوبةأو ديار الأحبة فإننا نجد + +194 +00:23:29,230 --> 00:23:39,930 +أن الشاعر العباسي يتسع لديه الحنين للوطن وهذا + +195 +00:23:39,930 --> 00:23:48,170 +الحنين إنما ازداد وتعمق عند الشاعر العباسي بسبب + +196 +00:23:48,170 --> 00:23:55,440 +اتساع العقل واتساع التصور والادراكوكما قلت فيما + +197 +00:23:55,440 --> 00:24:03,440 +سبق إن إحساسنا بالأشياء فرع عن تصورنا لها فكل ما + +198 +00:24:03,440 --> 00:24:11,080 +زاد إحساسنا وزاد إدراكنا للأشياء تعمق إحساسنا بها + +199 +00:24:11,080 --> 00:24:17,320 +فهنا الإحساس بالحنين تعمق لأن الفكر اتسع والعقل + +200 +00:24:17,320 --> 00:24:23,680 +نمىوارتقى إلى درجات عالية من التفكير التأملي + +201 +00:24:23,680 --> 00:24:31,680 +والتفكير المتواصل فقال دعبل الخزاعى ألم يأني للسفر + +202 +00:24:31,680 --> 00:24:39,620 +الذين تحملوا إلى وطن قبل المات رجوعه فقلت ولم أملك + +203 +00:24:39,620 --> 00:24:48,280 +صوابق عبرة نطقنا بما ضمت عليه ضلوعه تبينفكم دار + +204 +00:24:48,280 --> 00:24:54,680 +تفرق شملها وشمل شتيت عاد وهو جميعه كذا كالليالي + +205 +00:24:54,680 --> 00:25:02,660 +كذا كالليالي صرفهن كما ترا لكل أناس جدبة وربيع + +206 +00:25:02,660 --> 00:25:12,200 +الإحساس رق بارتقاء العقل ألم يأني للسفر وهنا + +207 +00:25:12,200 --> 00:25:21,560 +استفهام مجازيغرضه التقرير ألم يقنى للسفر يعني بلى + +208 +00:25:21,560 --> 00:25:27,800 +بلى الجواب ببله يعني استفهام زاده نفي ألم يقنى ألم + +209 +00:25:27,800 --> 00:25:37,660 +يحن الوقت للسفر الصفر هم الرقب الصفر جمعه سافر + +210 +00:25:37,660 --> 00:25:40,980 +مأخوذة + +211 +00:25:40,980 --> 00:25:48,580 +اسم فاعل من الثلاث صفرةأما مسافر فهي مأخوذة من + +212 +00:25:48,580 --> 00:25:59,600 +الرباعي سافرة مسافر و السفر في هذا السياق أبلغ من + +213 +00:25:59,600 --> 00:26:09,350 +المسافركما نرى في الفرق بين قاتل ومقاتل قاتل من + +214 +00:26:09,350 --> 00:26:15,470 +الثلاثي قتلى ومقاتل من الرباعي قاتلة والفرق بين + +215 +00:26:15,470 --> 00:26:21,910 +الثلاثي والرباعي أن الفعل الثلاثي يفيد الإرادة + +216 +00:26:21,910 --> 00:26:27,910 +إرادة إيه يعني الإرادة زائد الفعل إرادة السفر زائد + +217 +00:26:27,910 --> 00:26:34,870 +فعل السفروقاتل عنده إرادة القتل، معتع القتل، أما + +218 +00:26:34,870 --> 00:26:42,650 +مقاتل فقد لا تكون لديه إرادة القتل، ممكن تكون لديه + +219 +00:26:42,650 --> 00:26:47,810 +إرادة دفع القتل، منع القتل، ولذلك نجد أن القرآن + +220 +00:26:47,810 --> 00:26:55,030 +الكريم وصف اليهود بأنهم قتلوا، فلماذا تقتلون + +221 +00:26:55,030 --> 00:26:56,130 +أنبياء الله؟ + +222 +00:27:00,120 --> 00:27:05,140 +فالقتل فيه إيرادة القتل ذات فعل القتل و اللي بيبقى + +223 +00:27:05,140 --> 00:27:12,000 +يسموهم قتلة فلم تقتلونا و عبّر بالفعل المضارع و + +224 +00:27:12,000 --> 00:27:18,860 +طبعا ليبين أن إيرادة القتل فيهم موجودة فلم تقتلونا + +225 +00:27:18,860 --> 00:27:24,940 +أنبياء الله من قبلوثّق هذه الجريمة تاريخيا فقال من + +226 +00:27:24,940 --> 00:27:31,020 +قبل ولكنه عبّر بالفعل مضارع ليشير إلى أن هذه + +227 +00:27:31,020 --> 00:27:38,100 +الإرادة إرادة القتل موجودة فيهم فأيما أمسكت بأحدهم + +228 +00:27:38,100 --> 00:27:44,020 +فقد أمسكت بالقاتل وهنا طبعا أيه دلالة أيه الصفر + +229 +00:27:45,490 --> 00:27:52,770 +أبلغ في هذا السياق من المسافرين لأنه إيه؟ تشمل + +230 +00:27:52,770 --> 00:28:00,350 +إرادة السفر وفعل السفر ألم يقن للسفر الذين تحملوا + +231 +00:28:00,350 --> 00:28:06,930 +يعني إيه؟ تحملوا العناء والغربة والشوق إلى وطن قبل + +232 +00:28:06,930 --> 00:28:13,480 +المماتي رجوعه الجواب بلىفقلت ولم أملك ثوابقة عبرة + +233 +00:28:13,480 --> 00:28:19,720 +عبرة يعني دمعة فارق بين عبرة وعبرة العبرة هي + +234 +00:28:19,720 --> 00:28:26,260 +الدمعة والعبرة هي الفكرة ولم أملك ثوابقة عبرة يعني + +235 +00:28:26,260 --> 00:28:33,760 +دمعة هذه الدمعة يعني نطقت بما ضمت عليه الظلوع من + +236 +00:28:33,760 --> 00:28:41,850 +الحنين والشوق إلى الرجوع والعودة للوطنتبين فكم دار + +237 +00:28:41,850 --> 00:28:50,390 +تفرق شملها وشمل شتيت عاد و هو جميعه تبين خد العبرة + +238 +00:28:50,390 --> 00:28:58,060 +في حركة الزمنوعلاقة الناس به فهناك من تجمعوا وهناك + +239 +00:28:58,060 --> 00:29:08,400 +من تفرقوا فالزمن وهذا هو يعني فعله يفرق ويجمع لكل + +240 +00:29:08,400 --> 00:29:18,900 +أناس جدبة يعني تفرقوربيعه واجتماعه فهذا الحال من + +241 +00:29:18,900 --> 00:29:26,300 +التفرق والاجتماع إلى حال الزمن وتصيب الناس يفترقون + +242 +00:29:26,300 --> 00:29:35,160 +ثم يجتمعون إذا الملاحظ أننا هنا وجدنا أن الإحساس + +243 +00:29:35,160 --> 00:29:41,120 +بالحنين للوطن قدم في هذا العصر بفعل تطور الحضارة + +244 +00:29:42,570 --> 00:29:49,310 +والثقافة كذلك وجدنا مفهوم الوطن أيضًا يتعمق في هذا + +245 +00:29:49,310 --> 00:29:57,610 +العصر ونجد ذلك واضحًا لدى الشعراء الذين لا ينتمون + +246 +00:29:57,610 --> 00:30:03,990 +إلى أصول عربيةكابن الرومي فابن الرومي لا ينتمي إلى + +247 +00:30:03,990 --> 00:30:13,390 +أسلن عربية أمر آخر أنه كان يعني متماسكا بمتطلبات + +248 +00:30:13,390 --> 00:30:20,170 +الحضارة في هذا العصر وقد رأيناه قد يعني مدح جوانب + +249 +00:30:20,170 --> 00:30:26,490 +كثيرة من الحضارة المادية في هذا العصرفيما يتعلق + +250 +00:30:26,490 --> 00:30:32,410 +بالمأكلات والمطعمات وغير + +251 +00:30:32,410 --> 00:30:40,710 +ذلك فقد أفاض فيها الحديث و بتمسكه للحضارة الحضارة + +252 +00:30:40,710 --> 00:30:47,130 +المادية وجدنا لديه أمراض من الحضارة لأن الحضارة + +253 +00:30:47,130 --> 00:30:53,230 +لها أمراض أحيانا فمن الأمراض التي أصيبتهو التي + +254 +00:30:53,230 --> 00:30:58,230 +أصابت ابن رومي التشاؤم فهو شاعر التشاؤم في هذا + +255 +00:30:58,230 --> 00:31:06,230 +العصر والتشاؤم مرض حضاري من الأسباب التي يعني + +256 +00:31:06,230 --> 00:31:10,810 +تورثه الحضارة المادية أنها يعني تزرع التشاؤم عند + +257 +00:31:10,810 --> 00:31:16,910 +الإنسان والقلق فمن الأمراض الحضارية التي أصابته هو + +258 +00:31:16,910 --> 00:31:19,810 +مرض التشاؤم + +259 +00:31:20,660 --> 00:31:27,060 +وقد أشرنا إلى ذلك مراراً فيما سبق ويعني عندما + +260 +00:31:27,060 --> 00:31:32,680 +نتناول شخصية ابن رومي سنرى أن التشاؤم ليس نزعة فقط + +261 +00:31:32,680 --> 00:31:40,410 +عند ابن رومي بل هو أيه ثقافةإذاً مفهوم الوطن نمى + +262 +00:31:40,410 --> 00:31:43,890 +والظهر عند الشعراء الذين لا ينتمون إلى أصولهم + +263 +00:31:43,890 --> 00:31:47,930 +العربية، هذا واحد الشيء الثاني عند الشعراء الذين + +264 +00:31:47,930 --> 00:31:56,830 +تمسكوا بالمظاهر الحضرية في هذا العصر يقول ابن + +265 +00:31:56,830 --> 00:32:04,150 +الرومي ولي وطن آليت و ألا أبيعه و ألا أرى غيري له + +266 +00:32:04,150 --> 00:32:10,100 +الدهر مالكةعهدت به شرخ الشباب ونعمة كنعمة قوم + +267 +00:32:10,100 --> 00:32:16,800 +أصبحوا في ضلالك وحبب أوطان الرجال إليهم مقارب قد + +268 +00:32:16,800 --> 00:32:23,240 +داها الرجال هناك إذا ذكروا أوطانهم ذكرتهم عهود + +269 +00:32:23,240 --> 00:32:32,440 +الصبا فيها فحنوا لذلك كما قلت أن الشاعر العربييرى + +270 +00:32:32,440 --> 00:32:38,180 +نفسه أكبر من أن يربط مصيره ببقعة من الأرض سواء في + +271 +00:32:38,180 --> 00:32:42,740 +العصر الجاهلي وحتى في هذا العصر العباسي كما نجد + +272 +00:32:42,740 --> 00:32:49,000 +عند أبي تمام وهو ينتمي إلى أصول عربية عريقة ينتمي + +273 +00:32:49,000 --> 00:32:57,700 +إلى قبيلة طيققال أبو تمام الطائي يفتخر بنفسه خليفة + +274 +00:32:57,700 --> 00:33:04,100 +الخضر من يربع على وطن في بلدة فظهور العيس أوطاني + +275 +00:33:04,100 --> 00:33:11,380 +العربي كان يعتز وير أن وطنه هو ظهور العيس وليس + +276 +00:33:11,380 --> 00:33:17,110 +بقعة من الأرضأما ابن الروم هنا، فنجده أيه؟ يعني + +277 +00:33:17,110 --> 00:33:23,950 +أكثر اعتزازاً بالوطن ولي وطن، ولي وطن، + +278 +00:33:23,950 --> 00:33:24,610 +ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي + +279 +00:33:24,610 --> 00:33:24,810 +وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، + +280 +00:33:24,810 --> 00:33:27,230 +ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي + +281 +00:33:27,230 --> 00:33:27,890 +وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، + +282 +00:33:27,890 --> 00:33:29,810 +ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي وطن، ولي + +283 +00:33:29,810 --> 00:33:41,730 +وطن، ولي وطن، ولي + +284 +00:33:41,730 --> 00:33:50,850 +وطن، وعهدت به شرق الشباب ونعمة كنعمة قوم أصبحوا في + +285 +00:33:50,850 --> 00:33:56,550 +ظلالك لقد عهدت في هذا الوطن وعشت به أجمل فترات + +286 +00:33:56,550 --> 00:34:05,210 +حياتي كما يعيش فيه الناس اليوم وحبب أوطان الرجال + +287 +00:34:05,210 --> 00:34:11,390 +إليهم مقارب قضاها الرجال هناكهذه العلاقة، علاقة + +288 +00:34:11,390 --> 00:34:17,710 +الحب بين الوطن والناس أو الرجال أن الوطن منح هؤلاء + +289 +00:34:17,710 --> 00:34:23,710 +الرجال معاني كثيرة وصفات كثيرة فالإنسان يكتسب + +290 +00:34:23,710 --> 00:34:31,620 +هويته من وطنهبل إنه يكتسب أيضًا علاقته بالمطعمات + +291 +00:34:31,620 --> 00:34:38,420 +والمشروبات والملابس من وطنه، يأخذ من الوطن الذين، + +292 +00:34:38,420 --> 00:34:45,340 +وطعم الأشياء، طعم المأكلات، أنظمة الأكل، أنظمة + +293 +00:34:45,340 --> 00:34:48,960 +الشرب، اللباس، كلها يأخذ من الوطن، فالوطن يمنح + +294 +00:34:48,960 --> 00:34:53,180 +الإنسان أشياء كثيرة، ويقدم له فوائد كثيرة، أكثر + +295 +00:34:53,180 --> 00:34:59,090 +مما يقدم الإنسان للوطن،الوطن يعطيك الهوية، يعطيك + +296 +00:34:59,090 --> 00:35:05,210 +المعتقد، العادات، التقاليد، المذاقات، الأهواء + +297 +00:35:07,420 --> 00:35:15,140 +فالوطن هو الذي يمنح الإنسان كل مظاهر الحياة وكل + +298 +00:35:15,140 --> 00:35:22,540 +مظاهر الثقافة والفكر والعداد والتقاليد إذا ذكروا + +299 +00:35:22,540 --> 00:35:28,640 +أوطانهم ذكرتهم عهود الصبا فيها فحنوا لذلك أيضًا + +300 +00:35:28,640 --> 00:35:35,900 +الوطن يحتفظ بالذاكرة بذاكرتكالوطن هو الذي يعني + +301 +00:35:35,900 --> 00:35:46,680 +يذكرك بأجمل اللحظات وخاصة لحظات الصباح إذا الوطن + +302 +00:35:46,680 --> 00:35:51,660 +له فائدة عظيمة على الإنسان فهو الذي يمنحك كل + +303 +00:35:51,660 --> 00:36:00,700 +الأشياء من ثقافة ومعتقد وملبس ومأكل ومشرب وغير ذلك + +304 +00:36:04,270 --> 00:36:09,030 +فإذا الإبن رومي ينطلق في حبه الوطن من موقف رؤيوي، + +305 +00:36:09,030 --> 00:36:15,450 +ناضج، بسبب الثقافة والفكر الذي ارتقى في هذا العصر + +306 +00:36:15,450 --> 00:36:17,110 +رقيًا كبيرًا، + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds_raw.json b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..98a77659d15dc20e05a87c46661b4e1555f60110 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/bwR9IJnJ7Ds_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 1886, "start": 4.94, "end": 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العلماءإنما يخشى الله من عباده + +12 +00:01:04,300 --> 00:01:11,760 +العلماء لأن العلماء هم أكثر فكرا و أكثر تقديرا لله + +13 +00:01:11,760 --> 00:01:17,300 +سبحانه وتعالى و لأسمائه و صفاته و ما يطلبه من + +14 +00:01:17,300 --> 00:01:22,680 +أوامر و ما ينهاهم عن نواهي فهم أكثروا فهما و + +15 +00:01:22,680 --> 00:01:28,050 +أكثروا علما و لذلك هم أكثروا في المقابل خشيةإنما + +16 +00:01:28,050 --> 00:01:33,850 +يخشى الله من عباده العلماء الشيء الثاني الذي عمق + +17 +00:01:33,850 --> 00:01:42,750 +هذا الحزن أن المعظم الذين رسموا الشعراء كانوا + +18 +00:01:42,750 --> 00:01:53,380 +أبطالا فهم ضحايا سقطوا في معارك مع الأعداءومن أجمل + +19 +00:01:53,380 --> 00:01:58,680 +هذه المراثي مراثي أبي تمام في محمد ابن حميد الطوسي + +20 +00:01:58,680 --> 00:02:03,540 +الطائي وإنما كانت أروع هذه المراثي عند أبي تمام + +21 +00:02:03,540 --> 00:02:10,860 +للاعتبارات التالية أولا أن الميت سقط شهيدا دفاعا + +22 +00:02:10,860 --> 00:02:15,360 +عن الأمة العربية والإسلامية الشيء الثاني أن أبا + +23 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ما ارتاد + +58 +00:06:18,450 --> 00:06:24,780 +الشجاع من الرد مفرًايعني كلما حاول الأبطال أن + +59 +00:06:24,780 --> 00:06:30,640 +يفرون من الأماكن التي تقرع فيها المناية ويحمى فيها + +60 +00:06:30,640 --> 00:06:37,520 +الوطيس كان هذا البطل يرد ويبحث عن هذه الأماكن ليقف + +61 +00:06:37,520 --> 00:06:45,000 +فيها شاخصا يقاتل الأعداء كانت لديه رغبة في البقاء + +62 +00:06:45,810 --> 00:06:51,390 +في هذه الأماكن التي تُقرع فيها المناية ليقتل + +63 +00:06:51,390 --> 00:06:57,370 +الأعداء ويُثخِن فيهم القتل فقال فإن ترمي عن عمر + +64 +00:06:57,370 --> 00:07:03,650 +تدانى به المدى فخانك حتى لم تجد فيه منزعة إن كنت + +65 +00:07:03,650 --> 00:07:11,370 +يعني ترغب وتريدأن يجري العمر في في الطول في المدى + +66 +00:07:11,370 --> 00:07:19,550 +لكن الذي خانك هو الزمن كانت لديك رغبة في أن يطول + +67 +00:07:19,550 --> 00:07:25,770 +بك الزمن لتقاتل الأعداء ولتثخن فيهم القتل ولكن + +68 +00:07:25,770 --> 00:07:32,930 +الزمن خانك فلم تجد مفرا من ذلك فما كنت إلا السيف + +69 +00:07:33,950 --> 00:07:41,070 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+00:11:49,190 --> 00:11:59,610 +المساحة يحوي جبلا عظيما من الأخلاق أيضا + +106 +00:11:59,610 --> 00:12:05,870 +وجدنا الشاعر عباسيينتصر الميت من الزمن وليس كما + +107 +00:12:05,870 --> 00:12:10,150 +كان الشاعر الزاهد أو الشاعر الذهد الشاعر الذهد كان + +108 +00:12:10,150 --> 00:12:17,540 +يقف مع الزمن أما الشاعر هنا فكان يقف مع الميتفإذا + +109 +00:12:17,540 --> 00:12:21,980 +كان الزمن قد قضى على الميت بالموت فإن أفعاله + +110 +00:12:21,980 --> 00:12:28,620 +وأخلاقه قد استغرقت الزمن، ظلت شخصة في الزمن، فلم + +111 +00:12:28,620 --> 00:12:34,840 +يستطع الزمن إفنائها، يقول النمري في تأبين يزيد + +112 +00:12:34,840 --> 00:12:41,940 +ابنهمزيد وإن تكو أفنته الليالي و أوشكت فإن له ذكرا + +113 +00:12:41,940 --> 00:12:49,880 +سيفن الليالية والذكر هنا بمعنى الصيط الحسن فإنه + +114 +00:12:49,880 --> 00:12:58,900 +يبقى شاخصا في الزمن يفن الزمن وتظل هذه الذكرة + +115 +00:12:58,900 --> 00:13:06,620 +الطيبةوكلمة الذكر لها معاني على حسب السياق فتأتي + +116 +00:13:06,620 --> 00:13:12,500 +هنا بمعنى الصيد وفي سياق آخر طبعا وجد في القرآن + +117 +00:13:12,500 --> 00:13:17,340 +الكريم و لقد أنزلنا إليكم كتابا فيه ذكركم يعني + +118 +00:13:17,340 --> 00:13:22,080 +بمعنى الصيد والذكر بمعنى التعظيم أيضا ذكر الله + +119 +00:13:22,080 --> 00:13:29,780 +تعظيم اللهوالتسبيح تنزيه الله من صفات النقص فالذكر + +120 +00:13:29,780 --> 00:13:37,440 +تعظيم الله ذكر الله وتسبيح اللهيعني تنزيهه من + +121 +00:13:37,440 --> 00:13:43,800 +الصفات الصفات النقص أيضًا برع الشهر العباسي في + +122 +00:13:43,800 --> 00:13:52,300 +استنباط معانٍ دقيقة وتعليل لطيف يعني علة لطيفة غير + +123 +00:13:52,300 --> 00:13:57,920 +العلة الحقيقية يسمى هذا بحسن التعليل وهو أن يأتي + +124 +00:13:57,920 --> 00:14:06,360 +بعلة غير العلة الحقيقيةمثل مسلم ابن وليد قال + +125 +00:14:06,360 --> 00:14:12,060 +أرادوا ليخفوا قبره عن عدوه فطيبوا تراب القبر دل + +126 +00:14:12,060 --> 00:14:20,360 +على القبر أيضا + +127 +00:14:20,360 --> 00:14:26,990 +وجدنا أن الشاعر العباسييعني في قصيدة الرثاء يعبّى + +128 +00:14:26,990 --> 00:14:33,830 +عن تجارب و رؤى و تأملات خصبة تجاه الموت و الحياة و + +129 +00:14:33,830 --> 00:14:40,250 +الأحياءفمثلًا يقول ابن مناذر في تأبين عبد المجيد + +130 +00:14:40,250 --> 00:14:48,390 +الثقافي كل حي لقى الحمامة فمودى ما لحي مؤمل من + +131 +00:14:48,390 --> 00:14:56,370 +خلودى لا تهاب المنون شيئًا ولا ترعى على والد ولا + +132 +00:14:56,370 --> 00:15:03,330 +مولود يقدح الدهر في شماريخ رضوى ويحط الصخورة من + +133 +00:15:03,330 --> 00:15:09,620 +هبودىولقد تترك الحوادث والأيام وهيًا في الصخرة + +134 +00:15:09,620 --> 00:15:16,480 +الجلمودي يفعل الله ما يشاء فيمضي ما لفعل الإله من + +135 +00:15:16,480 --> 00:15:24,920 +مرضودي كل حي لقى الحمامة كل إنسان كل حي لقى الموت + +136 +00:15:24,920 --> 00:15:30,440 +الحمامة الموت يعني أن الموت يلاقى الإنسان فالموت + +137 +00:15:30,440 --> 00:15:37,770 +أمام الإنسان وليس وراءهكل حي لقى الحمامة فمودي + +138 +00:15:37,770 --> 00:15:47,370 +يعني فميت مال حي مؤمل من خلوده مؤمل تأتي بمعنى + +139 +00:15:47,370 --> 00:15:56,650 +المصدر يعني مال حي من أمل في الخلود أو بمعنى + +140 +00:15:56,650 --> 00:16:04,180 +المفعول يعني مأمول إيه بالخلودلا تهاب المنون شيئًا + +141 +00:16:04,180 --> 00:16:11,540 +ولا ترعى على والد ولا مولود المناية لا تراعى + +142 +00:16:11,540 --> 00:16:19,580 +كبيرًا لكبريه ولا صغيرًا لصغره لا تبقّر كبيرًا ولا + +143 +00:16:19,580 --> 00:16:25,920 +تحترم صغيرًا ولا تعطف على الصغيرإنها قانون يجذي في + +144 +00:16:25,920 --> 00:16:35,300 +الإنسان في الخلق إنها قاعدة وقانون وسنة يقدح الدهر + +145 +00:16:35,300 --> 00:16:41,960 +في شماريخ رضوى ويحط صخورة من هبودي رضوى جبل في + +146 +00:16:41,960 --> 00:16:49,170 +المدينة المنورة وهبود جبل في نجديقدح الدهر في + +147 +00:16:49,170 --> 00:16:56,230 +شماريخ يعني يحطم المكانة العالية لأن الشماريخ هي + +148 +00:16:56,230 --> 00:17:04,030 +أعالي الجبال يقدحها و يحطمها و يحط صخورة منها + +149 +00:17:04,030 --> 00:17:11,950 +البودي يعني يقضي على الشموخ و العظمة و يحط صخورة + +150 +00:17:11,950 --> 00:17:18,100 +منها البوديولقد تترك الحوادث والأيام وهيًا في + +151 +00:17:18,100 --> 00:17:23,240 +الصخرة الجلو المودي الأيام مع استمرارها والحوادث + +152 +00:17:23,240 --> 00:17:32,120 +المتتالية تترك ضعفًا في الصخرة الصماء فهذه ثنة في + +153 +00:17:32,120 --> 00:17:37,280 +الكون وقانون يجري في الأشياء + +154 +00:17:38,840 --> 00:17:45,620 +يفعل الله ما يشاء فيمضي ما لفعل الإله من مردودي + +155 +00:17:45,620 --> 00:17:54,280 +هناك قدر و هناك قضاءفالقدر يمكن أن يتغلب عليه + +156 +00:17:54,280 --> 00:17:58,840 +الإنسان بالدعاء كما قال ﷺ إن الدعاء والقدر + +157 +00:17:58,840 --> 00:18:05,960 +يتصارعان في السماء فيغلب الدعاء القدر لكن القدر + +158 +00:18:05,960 --> 00:18:13,720 +إذا أصبح قضاء ما لفعل الإله من مرجودي فكأن للموت + +159 +00:18:13,720 --> 00:18:22,290 +ركب محثون صراع لمنهل موروديهنا تشبيه كأنها أداة + +160 +00:18:22,290 --> 00:18:33,230 +تشبيه تشبيه زائد توكيد التشبيه طبعا كأنها تفترق عن + +161 +00:18:33,230 --> 00:18:42,760 +الكاف فكأنها تفيد التشبيه زائد توكيد التشبيهفكأنّا + +162 +00:18:42,760 --> 00:18:50,400 +للموت أين المشبّه و أين المشبّه به؟ شبه حالنا + +163 +00:18:50,400 --> 00:18:58,780 +في الحياة و حركتنا في الحياة بحركة المسافرين الذين + +164 +00:18:58,780 --> 00:19:06,720 +يحسون في السفر ليصلوا إلى النهاية التي يرغبون في + +165 +00:19:06,720 --> 00:19:13,720 +الوصول إليهافالإنسان في الحياة يحب أن ينتقل إلى + +166 +00:19:13,720 --> 00:19:18,220 +المرحلة التي تليها + +167 +00:19:18,220 --> 00:19:29,030 +فإذا كان مثلا الطالب في الإبتدائيةيرغب و يحس و + +168 +00:19:29,030 --> 00:19:36,590 +يجتهد لأن ينتقل إلى الإعدادية ثم إلى الثانوية ثم + +169 +00:19:36,590 --> 00:19:41,650 +إلى الجامعة و هكذا و هو في هذه الحركة إنما يتحرك + +170 +00:19:41,650 --> 00:19:49,890 +باتجاه الموت فالموت أمامه فكل يوم يقربه من الموت + +171 +00:19:51,440 --> 00:19:59,640 +ولذلك قال فكأن للموت رقب محثون صراع لمنهل مورودي + +172 +00:19:59,640 --> 00:20:06,800 +في حركتنا في الحياة إنما نتحرك باتجاه الموت أما + +173 +00:20:06,800 --> 00:20:13,600 +المشبه به فهو فهو الرقب المسافر فهذا الرقب المسافر + +174 +00:20:13,600 --> 00:20:21,700 +أو المرتاحل إنما يحث في سيرهويسرع ليصل إلى الغاية + +175 +00:20:21,700 --> 00:20:30,120 +التي يريدها فكأن الموت رقب محثون فراع لمنها + +176 +00:20:30,120 --> 00:20:35,760 +الموجودينفالموت حقيقة لا مفر منها وليس ثمة خلود + +177 +00:20:35,760 --> 00:20:44,940 +لأي مخلوق حي وأن الموت لا يهاب أحدا من الخلق وأيضا + +178 +00:20:44,940 --> 00:20:51,220 +عبرت قصيدة أذثاء عن نوازع حانية وحزن عميق ولوعة + +179 +00:20:51,220 --> 00:21:01,970 +حارة عند الشعراء وخاصة إذا كان هؤلاء الشعراءينتمون + +180 +00:21:01,970 --> 00:21:11,700 +إلى ثقافة غير عربيةأو أنهم يمرون بنزعات نفسية + +181 +00:21:11,700 --> 00:21:18,660 +كالتشاؤم مثلا كما نرى عند ابن رومي فقد اجتمعت + +182 +00:21:18,660 --> 00:21:29,740 +ثلاثة أسباب عمقت من الحزن وأثارة اللوعة الحارة فهو + +183 +00:21:29,740 --> 00:21:35,100 +أولا ردرنا أيه عميق الثقافة والشيء الثاني أنه + +184 +00:21:35,850 --> 00:21:41,390 +متشائم وهو شاعر التشاؤم في العصر العباسي والشيء + +185 +00:21:41,390 --> 00:21:47,650 +الثالث أنه يبكي أو يرثي ولده والعلاقة بين الأبي + +186 +00:21:47,650 --> 00:21:54,990 +وابنه علاقة عاطفية حانيةفلذلك اجتمعت هذه الأمور + +187 +00:21:54,990 --> 00:22:03,930 +الثلاثة لتعمق معنى الحزن واللوعى وتفيض بكل معاني + +188 +00:22:03,930 --> 00:22:12,090 +الأسى والحزن فقال بقاءكما يشفي وإن كان لا يجدي + +189 +00:22:12,630 --> 00:22:18,930 +تجودى فقد أودى نظيركما عندى ريحانة العينين والأنثى + +190 +00:22:18,930 --> 00:22:25,010 +والحشى ألا ليت شعري هل تغيرت عن عهدى كأنى ما + +191 +00:22:25,010 --> 00:22:30,070 +استمتعت منك بضمة ولا شمة في ملعب لك أو مهدي وأنت + +192 +00:22:30,070 --> 00:22:35,050 +وإن أفردت في دار وحشة فإنى بدار الأنثى في وحشة + +193 +00:22:35,050 --> 00:22:43,120 +الفرد بقاؤكما يعني خاطب العينينبكاءكما يشفي البكاء + +194 +00:22:43,120 --> 00:22:50,640 +يشفي من الحزن العميق ولكنه لا يغير من الحقيقة شيئا + +195 +00:22:50,640 --> 00:22:56,960 +ولا يغير هذا القانون القانون إيه الإفناء فالزمن + +196 +00:22:56,960 --> 00:23:04,640 +يهدف إلى إفناء الإنسان فجودا فقد أودا نظيركما عندي + +197 +00:23:04,640 --> 00:23:11,170 +فقد هلك نظيركما وهو يقصد هنا أي ولدهأريحانة + +198 +00:23:11,170 --> 00:23:19,130 +العينين وهنا طبعا إيه عبر بالوصف بدل الموصوف ليعمق + +199 +00:23:19,130 --> 00:23:26,530 +هذه التجربة تجربة الحزن واللوعة أريحانة العينين + +200 +00:23:26,530 --> 00:23:34,190 +والأنف والحشا ألا ليت شعريوهنا اسلوب تمني افتتحه + +201 +00:23:34,190 --> 00:23:41,530 +بألة الاستفتاحية التي تعمق معنى التمني فألة إذا + +202 +00:23:41,530 --> 00:23:46,210 +جاء بعدها استفهام تعمق الاستفهام وإذا جاء بعدها + +203 +00:23:46,210 --> 00:23:54,370 +نفي أو نهي تعمق النهيوإذا جاء بعدها أمر تعمق + +204 +00:23:54,370 --> 00:23:59,690 +الأمر، هنا تعمق التمني، ألا ليت شعري هل تغيرت عن + +205 +00:23:59,690 --> 00:24:05,390 +عهدي؟ كأني ما استمتعت منك بضمة ولا شمة في ملعب لك + +206 +00:24:05,390 --> 00:24:11,180 +أو مهديوهنا أيضًا تشبيه الأدات موجودة وهي كأنه + +207 +00:24:11,180 --> 00:24:18,820 +للتشبيه وتوكيز التشبيه والمشبه شبه حالة استمتاعه + +208 +00:24:18,820 --> 00:24:28,300 +بابنه حين كان حيا بحالته إذا كان حالته بعد موته + +209 +00:24:28,300 --> 00:24:34,660 +وطبعًا العلاقة المشابهة هنا ليست علاقة نسبية بل + +210 +00:24:34,660 --> 00:24:43,450 +علاقة ضديةكأني ما استمتعت منك بضمة يعني العلاقة + +211 +00:24:43,450 --> 00:24:47,150 +بين المشبه والمشبه به علاقة ضدية وليس علاقة نسبية + +212 +00:24:47,150 --> 00:24:59,480 +كما نقول مثلا محمد كأنه بحرفهناك علاقة نسبية يعني + +213 +00:24:59,480 --> 00:25:05,560 +ليه علاقة في المشابهة؟ في نسبة للتشابه لكن هنا + +214 +00:25:05,560 --> 00:25:14,300 +العلاقة ضدية فالمشابه عكس و ضد المشابه به وهذا + +215 +00:25:14,300 --> 00:25:25,200 +لتحطيم الرغبة في البقاء كأنه يقول أن المسافةأو + +216 +00:25:25,200 --> 00:25:32,440 +المساحة بين الاستمتاع وعدمه صفر كأني ما استمتعت + +217 +00:25:32,440 --> 00:25:38,620 +منك بضمة ولا شمة في ملعب لك أو مهدي وأنت وإن أفردت + +218 +00:25:38,620 --> 00:25:44,900 +في دار وحشة فإني بدار الأنس في وحشة الفرد وأنت وإن + +219 +00:25:44,900 --> 00:25:51,480 +أفردت في دار القبرفالقبور طبعا تثير الوحشة لأن لأن + +220 +00:25:51,480 --> 00:25:58,220 +السيد الموقف هو الموت أما في الحياة فالحياة هي + +221 +00:25:58,220 --> 00:26:07,160 +يعني هي سيدة الموقف ولكنه حين افتقد ابنه فهو يعيش + +222 +00:26:07,160 --> 00:26:17,810 +في وحشة وهذا طبعا تعميق للحزن واللوعىأيضًا وظّفت + +223 +00:26:17,810 --> 00:26:24,370 +قصيدة الرساء لتعميق معاني الزخم فقال أبو العتاهة + +224 +00:26:24,370 --> 00:26:29,670 +يرثي صديقه علي بثابت حيث يقول فتن لم يمل الندى + +225 +00:26:29,670 --> 00:26:38,050 +ساعة على عسره كان أو يسرهأتته المنية مغتالة رويدا + +226 +00:26:38,050 --> 00:26:45,130 +تخلله من ستره فخل القصور لمن شدها وحل من القبر في + +227 +00:26:45,130 --> 00:26:52,010 +قعرهفتن، كلمة فتن يعني الإنسان الذي يحمله إرادة + +228 +00:26:52,010 --> 00:26:58,330 +صادقة، لديه صدق وإرادة، سلوكيا، طبعا في الجانب + +229 +00:26:58,330 --> 00:27:05,370 +السلوكي الشاعر يعمق المعنى، يعمق الاعتبار الزمني + +230 +00:27:06,340 --> 00:27:16,560 +والموضوع هنا لم يمل الندى ساعة يعني لا يكل ساعة + +231 +00:27:16,560 --> 00:27:25,400 +أمام المتطلبات الكرم والعطاء والانفاق فهو استغراق + +232 +00:27:25,400 --> 00:27:30,700 +زمنيعلى عُسره كان أو يُسره استغراق موضوعي، يعني + +233 +00:27:30,700 --> 00:27:36,980 +سواء أكان في حالة العُسر أم في حالة اليُسر، أتته + +234 +00:27:36,980 --> 00:27:46,920 +المنية مقتلة رويدا تخلّله من سترهطبعا هنا يتحول + +235 +00:27:46,920 --> 00:27:54,120 +الكلام هنا والخطاب إلى الزهد وليس الرثاء كما في + +236 +00:27:54,120 --> 00:27:57,900 +البيت الأول البيت الأول هنا فتن لم يمل الندى ساعة + +237 +00:27:57,900 --> 00:28:07,300 +هذا بيت للرثاء أما أتته المنية مغتالة فهذا شعر زهد + +238 +00:28:07,300 --> 00:28:15,540 +وليس للرثاءأتته المنية مقتلة رويدا يعني تدريجيا + +239 +00:28:15,540 --> 00:28:27,080 +تخلل من ستره يعني تتخلل من مواطن القوة التي أخذها + +240 +00:28:27,080 --> 00:28:35,000 +الميت في الاعتبار فهذه المنية جاته من حيث لا يحتسم + +241 +00:28:36,250 --> 00:28:46,310 +يعني لم تأتي اليهم من المواضع التي يحتاطها أو من + +242 +00:28:46,310 --> 00:28:51,270 +الإجراءات الحماية التي يقوم بها بل جاءتهم من أماكن + +243 +00:28:51,270 --> 00:28:58,950 +الضعف التي تكون بين مواضعها + +244 +00:28:58,950 --> 00:29:08,880 +القوةولذلك ما من قوي إلا وفيه نقطة ضعف وما من ضعيف + +245 +00:29:08,880 --> 00:29:15,940 +إلا وفيه نقطة قوة وإذا التقت نقطة القوة في الضعيف + +246 +00:29:15,940 --> 00:29:21,460 +بنقطة الضعف في القوي انتصرت ضعيفه على القوي + +247 +00:29:25,460 --> 00:29:30,800 +فخلّى القصورة لمن شدها وحلّى من القبر في قعره هذا + +248 +00:29:30,800 --> 00:29:38,420 +حديث زهد وليس رساء فخلّى القصورة يعني اترك القصورة + +249 +00:29:38,420 --> 00:29:44,120 +لأهل الدنيا لمن يحبون الدنيا بينما هو حلّى من + +250 +00:29:44,120 --> 00:29:50,180 +القبر في قعره في قعر التعميق لمعنى الفناء قال في + +251 +00:29:50,180 --> 00:29:59,170 +قعرهأيضًا قوله و أصبح يهدى إلى منزل عميق تؤنق في + +252 +00:29:59,170 --> 00:30:05,170 +حفره فهذا الميت أصبح هدية له لهذا المنزل المنزل + +253 +00:30:05,170 --> 00:30:13,330 +العميق هنا طبعًا تعميق لمعنى الفناء وأيضًا و أصبح + +254 +00:30:13,330 --> 00:30:20,760 +يهدى إلى منزل تعميق لحقيقة الموتتؤنق في حفره يعني + +255 +00:30:20,760 --> 00:30:32,180 +حفرة بعناية و بحب لأنه مدام هناك حب إذا في إتقان + +256 +00:30:32,180 --> 00:30:39,600 +فالإتقان في الصناعة مرتبط باعتبارات أخرى اعتبارات + +257 +00:30:39,600 --> 00:30:46,880 +عاطفية ذي الحبهؤلاء الذين يحبونه يحكمون الإغلاق + +258 +00:30:46,880 --> 00:30:53,920 +عليه القبر أشد الجماعة وجدا به أشد الناس حبا له + +259 +00:30:53,920 --> 00:31:01,940 +أولئك الذين يحسنون إغلاق القبر عليه أشد الجماعة في + +260 +00:31:01,940 --> 00:31:07,440 +طمره في دفنهطبعا لم يقول ايه في اطماره انما قال في + +261 +00:31:07,440 --> 00:31:15,060 +طمره ايضا تعميق لمعنى او لحقيقة الموت حيث عبر + +262 +00:31:15,060 --> 00:31:21,740 +بالاسم ولم يعبر بالمصدر لان المصدر يأتي من الفعل + +263 +00:31:21,740 --> 00:31:25,580 +عبر بالاسم هنا ايضا + +264 +00:31:27,160 --> 00:31:34,520 +قال ابن رومي حيث يجعل المطلق في بُقرة استهداف + +265 +00:31:34,520 --> 00:31:39,120 +الزمن له ويريد + +266 +00:31:39,120 --> 00:31:48,600 +أن يجعل من الإنسان أو يدخل الإنسان الحي في تجربة + +267 +00:31:48,600 --> 00:31:57,040 +الموت ليتعرضوليحسن سلوكه وعمله وأفعاله في الدنيا + +268 +00:31:57,040 --> 00:32:05,300 +فقال نبل الردى يقصدنا قصدك فأجد قبل الموت جدك ودعل + +269 +00:32:05,300 --> 00:32:13,310 +بطالة والغواية جانباوعليك رشدك فكأنني بك قد نعيت + +270 +00:32:13,310 --> 00:32:19,790 +وقد بك الباقون فقدك وتركت منزلك المشيدة معطلا + +271 +00:32:19,790 --> 00:32:25,050 +وسكنت لحدك وخلوت + +272 +00:32:25,050 --> 00:32:32,610 +في بيت البلة وخل بك الملكان وحدك يتمتعون بما جمعت + +273 +00:32:32,610 --> 00:32:42,730 +ولا يرون عليه حمدكمتنعمين وانت تحت الرمس يرعد دودو + +274 +00:32:42,730 --> 00:32:51,170 +جلدك طبعا هنا برضه في عندي .. في عندي تشبيه فكأنني + +275 +00:32:51,170 --> 00:32:58,650 +بكى قد نعيته وقد بكل باكون فقدك الأداة .. الأداة + +276 +00:32:58,650 --> 00:33:07,150 +التشبيه كأني .. كأنه والمشبه به يعني شبه حالته + +277 +00:33:09,560 --> 00:33:10,220 +أه + +278 +00:33:12,630 --> 00:33:22,430 +حالته في الحياة بحالته في الموت و طبعا هذا تعميق + +279 +00:33:22,430 --> 00:33:30,630 +لمعنى الفناء فالمسافة بين الحياة و النعي صفر + +280 +00:33:30,630 --> 00:33:37,150 +فكأنني بك قد نعيت و قد بكل بكون فقدك هذا طبعا + +281 +00:33:37,150 --> 00:33:43,590 +تعميق لمعنى الفناء لأن مدة الزمن صفروتركت منزلك + +282 +00:33:43,590 --> 00:33:51,950 +المشيدة معطلا وسكنت لحدك كنت لحدة تعبر عن يعني او + +283 +00:33:51,950 --> 00:33:58,070 +انها ايه تعمق المعنى لحدك لأن اللحد هو يعني صورة + +284 +00:33:58,070 --> 00:34:07,210 +مخيفة من صور ايه القبرو كذلك و خلوت في بيت البلة و + +285 +00:34:07,210 --> 00:34:12,270 +خل بك الملكان وحدك و سلاك أهلك كلهم و نسوا على + +286 +00:34:12,270 --> 00:34:19,090 +أيام عهدك إلى آخره فهذا كله يعمق من حقيقة الموت و + +287 +00:34:19,090 --> 00:34:27,950 +حقيقة الفناء و حقيقة الذهب + +288 +00:34:30,730 --> 00:34:35,550 +أيضًا من التجديد في قصيدة الرثاء أننا وجدنا الشاعر + +289 +00:34:35,550 --> 00:34:41,110 +يعبّر في قصيدة الرثاء عن الصخط وعدم الرضا تجاه + +290 +00:34:41,110 --> 00:34:47,390 +الزمن أو التبرم من الزمن بالإضافة إلى الحزن العميق + +291 +00:34:47,390 --> 00:34:56,870 +واللوعة الشديدةوسوء الفهم للقضاء والقدر كما في قول + +292 +00:34:56,870 --> 00:35:03,650 +بشار ابن بوردن في رسائي أحد الذنادقة من أصدقائه + +293 +00:35:03,650 --> 00:35:09,570 +فقال اشرب على تلف الأحبة إننا جذر المنية ضاعينين + +294 +00:35:09,570 --> 00:35:17,230 +وخفضة ويلي عليه وويلتي من بينه كان المحبة وكنت حبا + +295 +00:35:17,230 --> 00:35:24,490 +فانقضىقد ذوقت ألفته و ذوقت فراقه، فوجدت ذا عسلا و + +296 +00:35:24,490 --> 00:35:30,970 +ذا جمرة الغضا إن كلمات اشرب، اتلف، لا أحب، وجوظ + +297 +00:35:30,970 --> 00:35:37,950 +المنية، ويلي، ويلتي، ذوقت، جمرة الغضا، كلها كلمات + +298 +00:35:37,950 --> 00:35:48,960 +تعبر عن حزن عميقوشعور قليم وسخط عند الشاعر تجاه ما + +299 +00:35:48,960 --> 00:35:53,520 +يفعله الزمن فكلمة + +300 +00:35:53,520 --> 00:35:59,880 +ايه؟ اشرب دلال عليه على ان هذا الحزن تحول الى ماء + +301 +00:35:59,880 --> 00:36:05,340 +يجري في العروق اشرب على تلف الأحبة وطبعا لم يقول + +302 +00:36:05,340 --> 00:36:11,630 +موت الأحبة انما قال تلفوهذا طبعا يشعرنا بأن فكرة + +303 +00:36:11,630 --> 00:36:17,770 +الموت عند الشاعر لم تكن ناضجة أو لم تكن على نحو + +304 +00:36:17,770 --> 00:36:28,590 +يعني إسلامي و أيضا تنبيؤنا بأنه لم يكن هناك رضا + +305 +00:36:28,590 --> 00:36:37,150 +اتجاه الزمن لدى الشاعرإذ إنه متبرم من الزمن وأيضا + +306 +00:36:37,150 --> 00:36:43,390 +استعمال كلمة جذر المنية أي أن الناس أو الإنسان هو + +307 +00:36:43,390 --> 00:36:50,570 +ضحية لهذا الموت إننا ضحايا لهذا الموت الذي يسخن + +308 +00:36:50,570 --> 00:36:53,610 +فينا القتل والموت + +309 +00:36:58,670 --> 00:37:06,760 +أيضاً وجدنا من التعبير العميقواللوع الشديدة قول + +310 +00:37:06,760 --> 00:37:13,080 +العُتبي في ابن له واختطفته المنية فقال وقال ثمني + +311 +00:37:13,080 --> 00:37:20,200 +دهري بنية فشطره فلمّا تقض شطره عاث في شطري ألا ليت + +312 +00:37:20,200 --> 00:37:25,580 +أمي لم تلدني وليتني سبقتك إذا كنا إلى غاية النجر + +313 +00:37:25,580 --> 00:37:31,740 +وكنت به أقنع فأصبحت كل ما كنت به فاضت دموعي على + +314 +00:37:31,740 --> 00:37:39,150 +نحريهذه الأبيات تعب عن حزن عميق لأن علاقة بين + +315 +00:37:39,150 --> 00:37:47,250 +الشاعر والميت هي علاقة أبوها وابنها كما وظف الشاعر + +316 +00:37:47,250 --> 00:37:54,250 +رسالة تعبية عن نزعة التشاؤم والموقف الخاطئ تجاه + +317 +00:37:54,250 --> 00:38:00,890 +الزمن كما في قول ابن الرومي دهر يشيع سبته أحدهم + +318 +00:38:02,950 --> 00:38:09,510 +متتابع ما ينقضي أمده، والحال من سعد يساعدنا طورًا، + +319 +00:38:09,510 --> 00:38:17,310 +ونحس مُعقِب نكده، نبكي على زمن ومن زمن، فبكاءنا + +320 +00:38:17,310 --> 00:38:24,470 +موصولة مُدده، + +321 +00:38:24,470 --> 00:38:30,710 +ونرى مكارهنا مُخلّدة، والعمر يذهب فانيا عدده، + +322 +00:38:30,710 --> 00:38:38,290 +فانيا عدده،طبعا هنا الشاعر ينظر .. ابن رومي هو + +323 +00:38:38,290 --> 00:38:44,490 +طبعا كما قلنا الشاعر ايه التشاؤن ينظر إلى حالة + +324 +00:38:44,490 --> 00:38:45,350 +جنائزية + +325 +00:38:49,090 --> 00:38:57,630 +فاليوم يشيّع أيه؟ يشيّع أمس دهر يشيّع سبته أحده + +326 +00:38:57,630 --> 00:39:05,450 +فالأحد يشيّع السبت الذي ماض بالامس وكأن العلاقة + +327 +00:39:05,450 --> 00:39:15,340 +بين الأيام هي علاقة جنائزيةتشجيع تشجيع الأموات + +328 +00:39:15,340 --> 00:39:21,300 +الأحد يشجع السبت والاثنين يشجعوا للأحد وهكذا + +329 +00:39:21,300 --> 00:39:27,120 +مستتابع ما ينقضي أبدهوالحال من سعد يساعدنا طورا + +330 +00:39:27,120 --> 00:39:40,400 +أما السعادة فهي يعني طور عابر و .. و .. يعني نحش + +331 +00:39:40,400 --> 00:39:47,140 +يعني مشفوع أو مطبوع إيه بنكد وهكذا إيه الحياة نبكي + +332 +00:39:47,140 --> 00:39:55,800 +على زمن نبكي على معضن ضاع منانبكي على زمن .. على + +333 +00:39:55,800 --> 00:40:02,180 +زمن مضى حزنا عليه يعني نبكي حزنا على ماضى وأيضا + +334 +00:40:02,180 --> 00:40:08,560 +نبكي من زمن لم يأتي نقول مستقبل يعني نبكي حزنا على + +335 +00:40:08,560 --> 00:40:16,360 +فائب ونبكي خوفا من قادم فحياتنا هي أيه حياة بكائية + +336 +00:40:16,360 --> 00:40:26,970 +فبكاءنا موصولة مددهونرى مكارهنا مخلدة والعمر يذهب + +337 +00:40:26,970 --> 00:40:38,630 +فانيا عدده نرى أن هذه المكاره والمصابي مستمرة من + +338 +00:40:38,630 --> 00:40:44,930 +التجديد أيضا حسن التعليل أو نقل تجربة الشاعر + +339 +00:40:44,930 --> 00:40:53,400 +الخاصة إلى تجربة عامة يلتقي فيها مع غيرهالتعبير عن + +340 +00:40:53,400 --> 00:41:01,960 +عميقي حزنه والأسى الذي لحق به فمثلا نجد ابن زياد + +341 +00:41:01,960 --> 00:41:12,740 +بدل أن يرثي زوجته يبكي على طفله الذي فارق أمه وهذا + +342 +00:41:12,740 --> 00:41:22,770 +حسن تعليلبأن نقل التجربة الخاصة نقلها + +343 +00:41:22,770 --> 00:41:30,970 +اليه تجربة عامة ليعمق الحزن والأساء فقال ألا مرأ + +344 +00:41:30,970 --> 00:41:38,380 +الطفل المفارقة أمهمبُعيد الكرا عيناه تبتدراني رأى + +345 +00:41:38,380 --> 00:41:45,960 +كل أم وابنها غير أمه يبيتان تحت الليل ينتجياني + +346 +00:41:45,960 --> 00:41:53,900 +وبات وحيدا في الفراش تجنه بلابل قلب دائم خفقاني + +347 +00:41:53,900 --> 00:41:59,850 +فلا تلحياني إن بكيت فإنماأداوي بهذا الدمع ما + +348 +00:41:59,850 --> 00:42:06,170 +ترياني وهبني عزمة الصبر عنها لأنني جليد تمن بالصبر + +349 +00:42:06,170 --> 00:42:12,710 +لبني ثماني ضعيف القوة لا يطب الأجر حسبة ولا يقتسي + +350 +00:42:12,710 --> 00:42:17,710 +بالناس في الحد ثاني طبعا هنا إيه هنا عندي حسن + +351 +00:42:17,710 --> 00:42:22,700 +تعليل نقل تجربة خاصةإلى تجربة عامة فبدل أن يبكي + +352 +00:42:22,700 --> 00:42:32,340 +زوجته بكى حال طفله فقال ألا مرأ الطفل المفارق أمه + +353 +00:42:32,340 --> 00:42:40,260 +بعيد الكرا عيناه تبت ديراني هنا ينقل التجربة + +354 +00:42:40,260 --> 00:42:47,880 +الخاصة إلى تجربة عامةيلتقي فيها الجميع ألا مرأ + +355 +00:42:47,880 --> 00:42:55,480 +الطفل المفارق أمه بعيد الكره عيناه تبت ديراني هذا + +356 +00:42:55,480 --> 00:42:59,540 +المنظر يحدث حزنا + +357 +00:43:01,160 --> 00:43:06,380 +عند الجميع لأن هو حاله طفل ولم يقول ايه طفلي او + +358 +00:43:06,380 --> 00:43:15,660 +زوجتي رأى كل طفل رأى كل أم وابنها غير أمه يبيتان + +359 +00:43:15,660 --> 00:43:20,900 +تحت الليل ينتجان وبيت واحدا في الفراش اذا هنا كما + +360 +00:43:20,900 --> 00:43:27,320 +نرى انه نقل التجربة من الحالة الخاصة للحالة العامة + +361 +00:43:27,320 --> 00:43:32,790 +ليعمق هذه التجربةومن التجديد أيضًا الرثاء الديني + +362 +00:43:32,790 --> 00:43:37,610 +يعني بيكون إيه بدافع ديني أو سياسي كما في بكاء + +363 +00:43:37,610 --> 00:43:42,330 +شعراء الشيعة لآمنتهم الذين نصبوا لهم العذاق + +364 +00:43:42,330 --> 00:43:47,390 +والمقاتم وناحوا عليهم نواحا حارا كما نجد عند السيد + +365 +00:43:47,390 --> 00:43:51,750 +الحميري ودعبل الخزاعي وذلك الجن الحمصي ومنصور + +366 +00:43:51,750 --> 00:43:58,890 +النمريوأيضًا السياسي كما في قول سلم الخاشر في + +367 +00:43:58,890 --> 00:44:04,570 +البرامج الذين نكبهم الرشيد فقال خوت أنجم الجدوى + +368 +00:44:04,570 --> 00:44:11,990 +وشلت يد الندى وغاضت بحار الجود بعد البرامج هوت + +369 +00:44:11,990 --> 00:44:16,070 +أنجم كانت لأبناء برماكن بها يعرف الحادي طريق + +370 +00:44:16,070 --> 00:44:22,950 +المسالك الحادي يعني الذي يقود القبلوطريق المسالك + +371 +00:44:22,950 --> 00:44:29,010 +كان الطريق الذي تؤدي إلى المدن والامصار أيضا من + +372 +00:44:29,010 --> 00:44:35,960 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المعتصم + +384 +00:46:01,340 --> 00:46:09,100 +ولم يستطع رده فقال كيف العزاء وقد مضى لسبيله عننا + +385 +00:46:09,100 --> 00:46:16,580 +فودعنا الأحم الأشهب منع الرقاد جوا تضمنه الحشى + +386 +00:46:16,580 --> 00:46:20,540 +وهوا أكابده وهم منصبه + +387 +00:46:21,930 --> 00:46:28,490 +والأحمل أشهب يعني الفرث مانع اللقاد جوًا مانع + +388 +00:46:28,490 --> 00:46:34,850 +اللقادة يعني مانع النوم حرارة في القلب وهوًا وحب + +389 +00:46:34,850 --> 00:46:42,230 +شديد وكابله وهم منصب وهم متعب أيضًا وظفت خاصية + +390 +00:46:42,230 --> 00:46:51,350 +الإساء في ترقيق لغة العتابونجد ذلك في مثل قول سعيد + +391 +00:46:51,350 --> 00:46:58,330 +ابن حميد يعاتب صديقهمفقال أقلل عتابك فالبقاء قليل + +392 +00:46:58,330 --> 00:47:06,070 +و الدهر يعدل تارة ويميل لم أبكي من زمن زمنت صرفه + +393 +00:47:06,070 --> 00:47:15,070 +إلا بكيت عليه حين يزول فلإن سبقت لتبكين بحصرة ولا + +394 +00:47:15,070 --> 00:47:23,020 +يكثرن علي منك عويلولئن سبقت و لا سبقت ليمضيا ما لا + +395 +00:47:23,020 --> 00:47:30,600 +يشاكله لدي خليله وأراك تكلف بالعتاب وودنا صاف + +396 +00:47:30,600 --> 00:47:39,200 +عليهم من الوفاء دليله ولعل أيام الحياة قليلةفعلى + +397 +00:47:39,200 --> 00:47:45,020 +ما يكثر عطبنا ويطوله إذا الشاعري استعمل الرثاء + +398 +00:47:45,020 --> 00:47:53,440 +والموت في ترقيق لغة الإعتاب يعني بمعنى أنه ما دام + +399 +00:47:53,440 --> 00:48:01,920 +أن الموتحقيقة ونهاية ثابتة، لا تتخلف، وأن البقاء + +400 +00:48:01,920 --> 00:48:09,100 +لا يمكن أن يتحقق البقاء الدائم في الحياة، فلماذا + +401 +00:48:09,100 --> 00:48:17,700 +يكثر بعضنا بعضا في الاعتاب؟الأصل أن نرقق لغة + +402 +00:48:17,700 --> 00:48:28,120 +العتاب وأن يتحمل بعضنا بعضا و هذه الحقيقة حقيقة + +403 +00:48:28,120 --> 00:48:39,120 +الفناء يعني كفيلة بأن نخلص في المواد و نقلل في + +404 +00:48:39,120 --> 00:48:44,280 +العتابهذا و بالله التوفيق و صلى اللهم على نبينا + +405 +00:48:44,280 --> 00:48:48,560 +محمد و على آله و صحبه و سلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/cKc_P-8NvNo_raw.json 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من", "probability": 0.865234375}, {"start": 449.37, "end": 449.77, "word": " ذلك", "probability": 0.99462890625}, {"start": 449.77, "end": 451.87, "word": " فما", "probability": 0.95703125}, {"start": 451.87, "end": 452.15, "word": " كنت", "probability": 0.9833984375}, {"start": 452.15, "end": 452.37, "word": " إلا", "probability": 0.817626953125}, {"start": 452.37, "end": 452.93, "word": " السيف", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 21, "seek": 46883, "start": 453.95, "end": 468.83, "text": "لقى ضريبة فقطعها ثم انثنى فتقطع وكلمة السيف هنا انما تعبر عن صدق الصدق الإرادة وهو المقصود هنا البطل الميت", "tokens": [1211, 4587, 7578, 48812, 16572, 49401, 6156, 47432, 3615, 11296, 38637, 2304, 16472, 12984, 1863, 7578, 6156, 2655, 47432, 3615, 4032, 4117, 19528, 3660, 21136, 33911, 34105, 16472, 15042, 37279, 26890, 18871, 20328, 3215, 4587, 31767, 3215, 4587, 33688, 2288, 18513, 3660, 37037, 2407, 9673, 4587, 9381, 23328, 34105, 29739, 9566, 1211, 9673, 36081], 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قانون يجذي في الإنسان في الخلق إنها قاعدة وقانون وسنة يقدح الدهر في شماريخ رضوى ويحط صخورة من هبودي رضوى جبل في المدينة المنورة وهبود جبل في نجد", "tokens": [28814, 1863, 11296, 12174, 7649, 11536, 7251, 7435, 8848, 1829, 8978, 33688, 1863, 3794, 7649, 8978, 33962, 1211, 4587, 36145, 11296, 12174, 995, 22488, 3660, 4032, 4587, 7649, 11536, 46952, 1863, 3660, 7251, 28543, 5016, 32748, 3224, 2288, 8978, 13412, 2304, 9640, 1829, 9778, 12602, 11242, 2407, 7578, 4032, 1829, 5016, 9566, 20328, 9778, 13063, 3660, 9154, 8032, 3555, 2407, 16254, 12602, 11242, 2407, 7578, 10874, 36150, 8978, 9673, 3215, 9957, 3660, 9673, 1863, 13063, 3660, 37037, 3555, 23328, 10874, 36150, 8978, 8717, 7435, 3215], "avg_logprob": -0.0918422942591268, "compression_ratio": 1.8620689655172413, "no_speech_prob": 2.47955322265625e-05, "words": [{"start": 983.66, "end": 984.12, "word": "إنها", "probability": 0.8624674479166666}, {"start": 984.12, "end": 984.76, "word": " قانون", "probability": 0.99560546875}, {"start": 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حالة استمتاعه بابنه حين كان حيا بحالته إذا كان حالته بعد موته وطبعًا العلاقة المشابهة هنا ليست علاقة نسبية بل علاقة ضدية", "tokens": [2407, 3224, 8315, 36632, 11242, 14111, 995, 6055, 8592, 21292, 3224, 16247, 3215, 9307, 3714, 29245, 23328, 3660, 37037, 1829, 9122, 33456, 3224, 24976, 2655, 8592, 21292, 3224, 34683, 2407, 4117, 1829, 11622, 16712, 8592, 21292, 3224, 4032, 45340, 8592, 3555, 3224, 13412, 3555, 3224, 11331, 6027, 3660, 44713, 2304, 2655, 45761, 3224, 4724, 16758, 1863, 3224, 11331, 9957, 25961, 11331, 25528, 4724, 5016, 6027, 47395, 11933, 15730, 25961, 11331, 6027, 47395, 39182, 3714, 35473, 3224, 4032, 9566, 3555, 3615, 14111, 995, 18863, 15040, 28671, 9673, 8592, 16758, 3224, 3660, 34105, 32239, 14851, 11203, 995, 28671, 8717, 35457, 10632, 4724, 1211, 11203, 995, 28671, 48812, 3215, 10632], "avg_logprob": -0.12717014123444204, "compression_ratio": 1.9615384615384615, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1446.78, "end": 1447.38, "word": 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عن نواهي فهم أكثروا فهما و + +15 +00:01:22,680 --> 00:01:28,050 +أكثروا علما و لذلك هم أكثروا في المقابل خشيةإنما + +16 +00:01:28,050 --> 00:01:33,850 +يخشى الله من عباده العلماء الشيء الثاني الذي عمق + +17 +00:01:33,850 --> 00:01:42,750 +هذا الحزن أن المعظم الذين رسموا الشعراء كانوا + +18 +00:01:42,750 --> 00:01:53,380 +أبطالا فهم ضحايا سقطوا في معارك مع الأعداءومن أجمل + +19 +00:01:53,380 --> 00:01:58,680 +هذه المراثي مراثي أبي تمام في محمد ابن حميد الطوسي + +20 +00:01:58,680 --> 00:02:03,540 +الطائي وإنما كانت أروع هذه المراثي عند أبي تمام + +21 +00:02:03,540 --> 00:02:10,860 +للاعتبارات التالية أولا أن الميت سقط شهيدا دفاعا + +22 +00:02:10,860 --> 00:02:15,360 +عن الأمة العربية والإسلامية الشيء الثاني أن أبا + +23 +00:02:15,360 --> 00:02:22,530 +تمام كان مفكرا فيلسوفاكان يهتم بمعانيه والشيء + +24 +00:02:22,530 --> 00:02:27,510 +الثالث أن هذا الميت هو من قبيلته فهذه الأمور + +25 +00:02:27,510 --> 00:02:36,270 +الثلاثة عمقت الإحساس بالحزن على هذا الميت وهو محمد + +26 +00:02:36,270 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الأماكن ليقف + +61 +00:06:37,520 --> 00:06:45,000 +فيها شاخصا يقاتل الأعداء كانت لديه رغبة في البقاء + +62 +00:06:45,810 --> 00:06:51,390 +في هذه الأماكن التي تُقرع فيها المناية ليقتل + +63 +00:06:51,390 --> 00:06:57,370 +الأعداء ويُثخِن فيهم القتل فقال فإن ترمي عن عمر + +64 +00:06:57,370 --> 00:07:03,650 +تدانى به المدى فخانك حتى لم تجد فيه منزعة إن كنت + +65 +00:07:03,650 --> 00:07:11,370 +يعني ترغب وتريدأن يجري العمر في في الطول في المدى + +66 +00:07:11,370 --> 00:07:19,550 +لكن الذي خانك هو الزمن كانت لديك رغبة في أن يطول + +67 +00:07:19,550 --> 00:07:25,770 +بك الزمن لتقاتل الأعداء ولتثخن فيهم القتل ولكن + +68 +00:07:25,770 --> 00:07:32,930 +الزمن خانك فلم تجد مفرا من ذلك فما كنت إلا السيف + +69 +00:07:33,950 --> 00:07:41,070 +لقى ضريبة فقطعها ثم انثنى فتقطع وكلمة السيف هنا + +70 +00:07:41,070 --> 00:07:46,870 +انما تعبر عن صدق الصدق الإرادة وهو المقصود هنا + +71 +00:07:46,870 --> 00:07:55,870 +البطل الميتالذي يرفيه أبو تمام فما كنت إلا سيف لقى + +72 +00:07:55,870 --> 00:08:01,270 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+00:09:22,600 --> 00:09:30,580 +هجومي والضريبة سلاح دفعي ومع أنها صلبة لكن هذا + +85 +00:09:30,580 --> 00:09:39,520 +السيف عندما وافق إرادة قوية صلبة وعزيمة قوية قطع + +86 +00:09:39,520 --> 00:09:45,840 +هذه الضريبة الحديدة الصلبة فقطع ثم انثنى فتقطع + +87 +00:09:46,570 --> 00:09:52,410 +بمعنى أنه لم يموت إلا بعد أن أثخن القتل في الأعداد + +88 +00:09:52,410 --> 00:10:01,430 +من + +89 +00:10:01,430 --> 00:10:07,430 +التجديد أيضًا تلك الصور التي رسمها الشعراء لقبور + +90 +00:10:07,430 --> 00:10:12,970 +الأبطال وأصحاب الفضل مثل الرساءةعبد الله بن أيوب + +91 +00:10:12,970 --> 00:10:19,490 +التنيمي لمنصور ابن زياد فيقول أما القبور فإن هن + +92 +00:10:19,490 --> 00:10:26,670 +أوانس بجوار قبرك و الديار قبوره والناس مأتمهم عليه + +93 +00:10:26,670 --> 00:10:34,530 +واحد في كل دار رنة وزفير عجب لأربع أذرع في خمسة في + +94 +00:10:34,530 --> 00:10:42,830 +جوفها جبل أشم كبيرطبعا هنا صورة رائعة لقبري الميت + +95 +00:10:42,830 --> 00:10:51,330 +فهذا القبر القبر الميت يثير الأنث حول القبور التي + +96 +00:10:51,330 --> 00:10:56,490 +بجواره نظرا لأنه يحوي على مجموعة من القيم + +97 +00:10:56,490 --> 00:11:02,170 +الأخلاقية أنه نموذج أخلاقي والدليل عزيزي أن الناس + +98 +00:11:02,170 --> 00:11:06,890 +كانوا أن الناس كل الناس كان يحزنون عليه يحزنون + +99 +00:11:06,890 --> 00:11:14,880 +عليهفي كل دار رنّة وزفيرة في كل دار يعني بكاء + +100 +00:11:14,880 --> 00:11:23,600 +يرتفع بالصوت و آخر بدون صوت وهذا طبعا تعميق للبكاء + +101 +00:11:23,600 --> 00:11:28,560 +والحزن عند الناس على هذا الفقد أو على هذا الفقيد + +102 +00:11:28,560 --> 00:11:37,530 +عجبا لأربع أذروع في خمسة في جوفها جبل أصمأشمه + +103 +00:11:37,530 --> 00:11:43,350 +كبيره إنها + +104 +00:11:43,350 --> 00:11:49,190 +صورة أيه مثيرة للتعجب إن هذا القبر الصغير في + +105 +00:11:49,190 --> 00:11:59,610 +المساحة يحوي جبلا عظيما من الأخلاق أيضا + +106 +00:11:59,610 --> 00:12:05,870 +وجدنا الشاعر عباسيينتصر الميت من الزمن وليس كما + +107 +00:12:05,870 --> 00:12:10,150 +كان الشاعر الزاهد أو الشاعر الذهد الشاعر الذهد كان + +108 +00:12:10,150 --> 00:12:17,540 +يقف مع الزمن أما الشاعر هنا فكان يقف مع الميتفإذا + +109 +00:12:17,540 --> 00:12:21,980 +كان الزمن قد قضى على الميت بالموت فإن أفعاله + +110 +00:12:21,980 --> 00:12:28,620 +وأخلاقه قد استغرقت الزمن، ظلت شخصة في الزمن، فلم + +111 +00:12:28,620 --> 00:12:34,840 +يستطع الزمن إفنائها، يقول النمري في تأبين يزيد + +112 +00:12:34,840 --> 00:12:41,940 +ابنهمزيد وإن تكو أفنته الليالي و أوشكت فإن له ذكرا + +113 +00:12:41,940 --> 00:12:49,880 +سيفن الليالية والذكر هنا بمعنى الصيط الحسن فإنه + +114 +00:12:49,880 --> 00:12:58,900 +يبقى شاخصا في الزمن يفن الزمن وتظل هذه الذكرة + +115 +00:12:58,900 --> 00:13:06,620 +الطيبةوكلمة الذكر لها معاني على حسب السياق فتأتي + +116 +00:13:06,620 --> 00:13:12,500 +هنا بمعنى الصيد وفي سياق آخر طبعا وجد في القرآن + +117 +00:13:12,500 --> 00:13:17,340 +الكريم و لقد أنزلنا إليكم كتابا فيه ذكركم يعني + +118 +00:13:17,340 --> 00:13:22,080 +بمعنى الصيد والذكر بمعنى التعظيم أيضا ذكر الله + +119 +00:13:22,080 --> 00:13:29,780 +تعظيم اللهوالتسبيح تنزيه الله من صفات النقص فالذكر + +120 +00:13:29,780 --> 00:13:37,440 +تعظيم الله ذكر الله وتسبيح اللهيعني تنزيهه من + +121 +00:13:37,440 --> 00:13:43,800 +الصفات الصفات النقص أيضًا برع الشهر العباسي في + +122 +00:13:43,800 --> 00:13:52,300 +استنباط معانٍ دقيقة وتعليل لطيف يعني علة لطيفة غير + +123 +00:13:52,300 --> 00:13:57,920 +العلة الحقيقية يسمى هذا بحسن التعليل وهو أن يأتي + +124 +00:13:57,920 --> 00:14:06,360 +بعلة غير العلة الحقيقيةمثل مسلم ابن وليد قال + +125 +00:14:06,360 --> 00:14:12,060 +أرادوا ليخفوا قبره عن عدوه فطيبوا تراب القبر دل + +126 +00:14:12,060 --> 00:14:20,360 +على القبر أيضا + +127 +00:14:20,360 --> 00:14:26,990 +وجدنا أن الشاعر العباسييعني في قصيدة الرثاء يعبّى + +128 +00:14:26,990 --> 00:14:33,830 +عن تجارب و رؤى و تأملات خصبة تجاه الموت و الحياة و + +129 +00:14:33,830 --> 00:14:40,250 +الأحياءفمثلًا يقول ابن مناذر في تأبين عبد المجيد + +130 +00:14:40,250 --> 00:14:48,390 +الثقافي كل حي لقى الحمامة فمودى ما لحي مؤمل من + +131 +00:14:48,390 --> 00:14:56,370 +خلودى لا تهاب المنون شيئًا ولا ترعى على والد ولا + +132 +00:14:56,370 --> 00:15:03,330 +مولود يقدح الدهر في شماريخ رضوى ويحط الصخورة من + +133 +00:15:03,330 --> 00:15:09,620 +هبودىولقد تترك الحوادث والأيام وهيًا في الصخرة + +134 +00:15:09,620 --> 00:15:16,480 +الجلمودي يفعل الله ما يشاء فيمضي ما لفعل الإله من + +135 +00:15:16,480 --> 00:15:24,920 +مرضودي كل حي لقى الحمامة كل إنسان كل حي لقى الموت + +136 +00:15:24,920 --> 00:15:30,440 +الحمامة الموت يعني أن الموت يلاقى الإنسان فالموت + +137 +00:15:30,440 --> 00:15:37,770 +أمام الإنسان وليس وراءهكل حي لقى الحمامة فمودي + +138 +00:15:37,770 --> 00:15:47,370 +يعني فميت مال حي مؤمل من خلوده مؤمل تأتي بمعنى + +139 +00:15:47,370 --> 00:15:56,650 +المصدر يعني مال حي من أمل في الخلود أو بمعنى + +140 +00:15:56,650 --> 00:16:04,180 +المفعول يعني مأمول إيه بالخلودلا تهاب المنون شيئًا + +141 +00:16:04,180 --> 00:16:11,540 +ولا ترعى على والد ولا مولود المناية لا تراعى + +142 +00:16:11,540 --> 00:16:19,580 +كبيرًا لكبريه ولا صغيرًا لصغره لا تبقّر كبيرًا ولا + +143 +00:16:19,580 --> 00:16:25,920 +تحترم صغيرًا ولا تعطف على الصغيرإنها قانون يجذي في + +144 +00:16:25,920 --> 00:16:35,300 +الإنسان في الخلق إنها قاعدة وقانون وسنة يقدح الدهر + +145 +00:16:35,300 --> 00:16:41,960 +في شماريخ رضوى ويحط صخورة من هبودي رضوى جبل في + +146 +00:16:41,960 --> 00:16:49,170 +المدينة المنورة وهبود جبل في نجديقدح الدهر في + +147 +00:16:49,170 --> 00:16:56,230 +شماريخ يعني يحطم المكانة العالية لأن الشماريخ هي + +148 +00:16:56,230 --> 00:17:04,030 +أعالي الجبال يقدحها و يحطمها و يحط صخورة منها + +149 +00:17:04,030 --> 00:17:11,950 +البودي يعني يقضي على الشموخ و العظمة و يحط صخورة + +150 +00:17:11,950 --> 00:17:18,100 +منها البوديولقد تترك الحوادث والأيام وهيًا في + +151 +00:17:18,100 --> 00:17:23,240 +الصخرة الجلو المودي الأيام مع استمرارها والحوادث + +152 +00:17:23,240 --> 00:17:32,120 +المتتالية تترك ضعفًا في الصخرة الصماء فهذه ثنة في + +153 +00:17:32,120 --> 00:17:37,280 +الكون وقانون يجري في الأشياء + +154 +00:17:38,840 --> 00:17:45,620 +يفعل الله ما يشاء فيمضي ما لفعل الإله من مردودي + +155 +00:17:45,620 --> 00:17:54,280 +هناك قدر و هناك قضاءفالقدر يمكن أن يتغلب عليه + +156 +00:17:54,280 --> 00:17:58,840 +الإنسان بالدعاء كما قال ﷺ إن الدعاء والقدر + +157 +00:17:58,840 --> 00:18:05,960 +يتصارعان في السماء فيغلب الدعاء القدر لكن القدر + +158 +00:18:05,960 --> 00:18:13,720 +إذا أصبح قضاء ما لفعل الإله من مرجودي فكأن للموت + +159 +00:18:13,720 --> 00:18:22,290 +ركب محثون صراع لمنهل موروديهنا تشبيه كأنها أداة + +160 +00:18:22,290 --> 00:18:33,230 +تشبيه تشبيه زائد توكيد التشبيه طبعا كأنها تفترق عن + +161 +00:18:33,230 --> 00:18:42,760 +الكاف فكأنها تفيد التشبيه زائد توكيد التشبيهفكأنّا + +162 +00:18:42,760 --> 00:18:50,400 +للموت أين المشبّه و أين المشبّه به؟ شبه حالنا + +163 +00:18:50,400 --> 00:18:58,780 +في الحياة و حركتنا في الحياة بحركة المسافرين الذين + +164 +00:18:58,780 --> 00:19:06,720 +يحسون في السفر ليصلوا إلى النهاية التي يرغبون في + +165 +00:19:06,720 --> 00:19:13,720 +الوصول إليهافالإنسان في الحياة يحب أن ينتقل إلى + +166 +00:19:13,720 --> 00:19:18,220 +المرحلة التي تليها + +167 +00:19:18,220 --> 00:19:29,030 +فإذا كان مثلا الطالب في الإبتدائيةيرغب و يحس و + +168 +00:19:29,030 --> 00:19:36,590 +يجتهد لأن ينتقل إلى الإعدادية ثم إلى الثانوية ثم + +169 +00:19:36,590 --> 00:19:41,650 +إلى الجامعة و هكذا و هو في هذه الحركة إنما يتحرك + +170 +00:19:41,650 --> 00:19:49,890 +باتجاه الموت فالموت أمامه فكل يوم يقربه من الموت + +171 +00:19:51,440 --> 00:19:59,640 +ولذلك قال فكأن للموت رقب محثون صراع لمنهل مورودي + +172 +00:19:59,640 --> 00:20:06,800 +في حركتنا في الحياة إنما نتحرك باتجاه الموت أما + +173 +00:20:06,800 --> 00:20:13,600 +المشبه به فهو فهو الرقب المسافر فهذا الرقب المسافر + +174 +00:20:13,600 --> 00:20:21,700 +أو المرتاحل إنما يحث في سيرهويسرع ليصل إلى الغاية + +175 +00:20:21,700 --> 00:20:30,120 +التي يريدها فكأن الموت رقب محثون فراع لمنها + +176 +00:20:30,120 --> 00:20:35,760 +الموجودينفالموت حقيقة لا مفر منها وليس ثمة خلود + +177 +00:20:35,760 --> 00:20:44,940 +لأي مخلوق حي وأن الموت لا يهاب أحدا من الخلق وأيضا + +178 +00:20:44,940 --> 00:20:51,220 +عبرت قصيدة أذثاء عن نوازع حانية وحزن عميق ولوعة + +179 +00:20:51,220 --> 00:21:01,970 +حارة عند الشعراء وخاصة إذا كان هؤلاء الشعراءينتمون + +180 +00:21:01,970 --> 00:21:11,700 +إلى ثقافة غير عربيةأو أنهم يمرون بنزعات نفسية + +181 +00:21:11,700 --> 00:21:18,660 +كالتشاؤم مثلا كما نرى عند ابن رومي فقد اجتمعت + +182 +00:21:18,660 --> 00:21:29,740 +ثلاثة أسباب عمقت من الحزن وأثارة اللوعة الحارة فهو + +183 +00:21:29,740 --> 00:21:35,100 +أولا ردرنا أيه عميق الثقافة والشيء الثاني أنه + +184 +00:21:35,850 --> 00:21:41,390 +متشائم وهو شاعر التشاؤم في العصر العباسي والشيء + +185 +00:21:41,390 --> 00:21:47,650 +الثالث أنه يبكي أو يرثي ولده والعلاقة بين الأبي + +186 +00:21:47,650 --> 00:21:54,990 +وابنه علاقة عاطفية حانيةفلذلك اجتمعت هذه الأمور + +187 +00:21:54,990 --> 00:22:03,930 +الثلاثة لتعمق معنى الحزن واللوعى وتفيض بكل معاني + +188 +00:22:03,930 --> 00:22:12,090 +الأسى والحزن فقال بقاءكما يشفي وإن كان لا يجدي + +189 +00:22:12,630 --> 00:22:18,930 +تجودى فقد أودى نظيركما عندى ريحانة العينين والأنثى + +190 +00:22:18,930 --> 00:22:25,010 +والحشى ألا ليت شعري هل تغيرت عن عهدى كأنى ما + +191 +00:22:25,010 --> 00:22:30,070 +استمتعت منك بضمة ولا شمة في ملعب لك أو مهدي وأنت + +192 +00:22:30,070 --> 00:22:35,050 +وإن أفردت في دار وحشة فإنى بدار الأنثى في وحشة + +193 +00:22:35,050 --> 00:22:43,120 +الفرد بقاؤكما يعني خاطب العينينبكاءكما يشفي البكاء + +194 +00:22:43,120 --> 00:22:50,640 +يشفي من الحزن العميق ولكنه لا يغير من الحقيقة شيئا + +195 +00:22:50,640 --> 00:22:56,960 +ولا يغير هذا القانون القانون إيه الإفناء فالزمن + +196 +00:22:56,960 --> 00:23:04,640 +يهدف إلى إفناء الإنسان فجودا فقد أودا نظيركما عندي + +197 +00:23:04,640 --> 00:23:11,170 +فقد هلك نظيركما وهو يقصد هنا أي ولدهأريحانة + +198 +00:23:11,170 --> 00:23:19,130 +العينين وهنا طبعا إيه عبر بالوصف بدل الموصوف ليعمق + +199 +00:23:19,130 --> 00:23:26,530 +هذه التجربة تجربة الحزن واللوعة أريحانة العينين + +200 +00:23:26,530 --> 00:23:34,190 +والأنف والحشا ألا ليت شعريوهنا اسلوب تمني افتتحه + +201 +00:23:34,190 --> 00:23:41,530 +بألة الاستفتاحية التي تعمق معنى التمني فألة إذا + +202 +00:23:41,530 --> 00:23:46,210 +جاء بعدها استفهام تعمق الاستفهام وإذا جاء بعدها + +203 +00:23:46,210 --> 00:23:54,370 +نفي أو نهي تعمق النهيوإذا جاء بعدها أمر تعمق + +204 +00:23:54,370 --> 00:23:59,690 +الأمر، هنا تعمق التمني، ألا ليت شعري هل تغيرت عن + +205 +00:23:59,690 --> 00:24:05,390 +عهدي؟ كأني ما استمتعت منك بضمة ولا شمة في ملعب لك + +206 +00:24:05,390 --> 00:24:11,180 +أو مهديوهنا أيضًا تشبيه الأدات موجودة وهي كأنه + +207 +00:24:11,180 --> 00:24:18,820 +للتشبيه وتوكيز التشبيه والمشبه شبه حالة استمتاعه + +208 +00:24:18,820 --> 00:24:28,300 +بابنه حين كان حيا بحالته إذا كان حالته بعد موته + +209 +00:24:28,300 --> 00:24:34,660 +وطبعًا العلاقة المشابهة هنا ليست علاقة نسبية بل + +210 +00:24:34,660 --> 00:24:43,450 +علاقة ضديةكأني ما استمتعت منك بضمة يعني العلاقة + +211 +00:24:43,450 --> 00:24:47,150 +بين المشبه والمشبه به علاقة ضدية وليس علاقة نسبية + +212 +00:24:47,150 --> 00:24:59,480 +كما نقول مثلا محمد كأنه بحرفهناك علاقة نسبية يعني + +213 +00:24:59,480 --> 00:25:05,560 +ليه علاقة في المشابهة؟ في نسبة للتشابه لكن هنا + +214 +00:25:05,560 --> 00:25:14,300 +العلاقة ضدية فالمشابه عكس و ضد المشابه به وهذا + +215 +00:25:14,300 --> 00:25:25,200 +لتحطيم الرغبة في البقاء كأنه يقول أن المسافةأو + +216 +00:25:25,200 --> 00:25:32,440 +المساحة بين الاستمتاع وعدمه صفر كأني ما استمتعت + +217 +00:25:32,440 --> 00:25:38,620 +منك بضمة ولا شمة في ملعب لك أو مهدي وأنت وإن أفردت + +218 +00:25:38,620 --> 00:25:44,900 +في دار وحشة فإني بدار الأنس في وحشة الفرد وأنت وإن + +219 +00:25:44,900 --> 00:25:51,480 +أفردت في دار القبرفالقبور طبعا تثير الوحشة لأن لأن + +220 +00:25:51,480 --> 00:25:58,220 +السيد الموقف هو الموت أما في الحياة فالحياة هي + +221 +00:25:58,220 --> 00:26:07,160 +يعني هي سيدة الموقف ولكنه حين افتقد ابنه فهو يعيش + +222 +00:26:07,160 --> 00:26:17,810 +في وحشة وهذا طبعا تعميق للحزن واللوعىأيضًا وظّفت + +223 +00:26:17,810 --> 00:26:24,370 +قصيدة الرساء لتعميق معاني الزخم فقال أبو العتاهة + +224 +00:26:24,370 --> 00:26:29,670 +يرثي صديقه علي بثابت حيث يقول فتن لم يمل الندى + +225 +00:26:29,670 --> 00:26:38,050 +ساعة على عسره كان أو يسرهأتته المنية مغتالة رويدا + +226 +00:26:38,050 --> 00:26:45,130 +تخلله من ستره فخل القصور لمن شدها وحل من القبر في + +227 +00:26:45,130 --> 00:26:52,010 +قعرهفتن، كلمة فتن يعني الإنسان الذي يحمله إرادة + +228 +00:26:52,010 --> 00:26:58,330 +صادقة، لديه صدق وإرادة، سلوكيا، طبعا في الجانب + +229 +00:26:58,330 --> 00:27:05,370 +السلوكي الشاعر يعمق المعنى، يعمق الاعتبار الزمني + +230 +00:27:06,340 --> 00:27:16,560 +والموضوع هنا لم يمل الندى ساعة يعني لا يكل ساعة + +231 +00:27:16,560 --> 00:27:25,400 +أمام المتطلبات الكرم والعطاء والانفاق فهو استغراق + +232 +00:27:25,400 --> 00:27:30,700 +زمنيعلى عُسره كان أو يُسره استغراق موضوعي، يعني + +233 +00:27:30,700 --> 00:27:36,980 +سواء أكان في حالة العُسر أم في حالة اليُسر، أتته + +234 +00:27:36,980 --> 00:27:46,920 +المنية مقتلة رويدا تخلّله من سترهطبعا هنا يتحول + +235 +00:27:46,920 --> 00:27:54,120 +الكلام هنا والخطاب إلى الزهد وليس الرثاء كما في + +236 +00:27:54,120 --> 00:27:57,900 +البيت الأول البيت الأول هنا فتن لم يمل الندى ساعة + +237 +00:27:57,900 --> 00:28:07,300 +هذا بيت للرثاء أما أتته المنية مغتالة فهذا شعر زهد + +238 +00:28:07,300 --> 00:28:15,540 +وليس للرثاءأتته المنية مقتلة رويدا يعني تدريجيا + +239 +00:28:15,540 --> 00:28:27,080 +تخلل من ستره يعني تتخلل من مواطن القوة التي أخذها + +240 +00:28:27,080 --> 00:28:35,000 +الميت في الاعتبار فهذه المنية جاته من حيث لا يحتسم + +241 +00:28:36,250 --> 00:28:46,310 +يعني لم تأتي اليهم من المواضع التي يحتاطها أو من + +242 +00:28:46,310 --> 00:28:51,270 +الإجراءات الحماية التي يقوم بها بل جاءتهم من أماكن + +243 +00:28:51,270 --> 00:28:58,950 +الضعف التي تكون بين مواضعها + +244 +00:28:58,950 --> 00:29:08,880 +القوةولذلك ما من قوي إلا وفيه نقطة ضعف وما من ضعيف + +245 +00:29:08,880 --> 00:29:15,940 +إلا وفيه نقطة قوة وإذا التقت نقطة القوة في الضعيف + +246 +00:29:15,940 --> 00:29:21,460 +بنقطة الضعف في القوي انتصرت ضعيفه على القوي + +247 +00:29:25,460 --> 00:29:30,800 +فخلّى القصورة لمن شدها وحلّى من القبر في قعره هذا + +248 +00:29:30,800 --> 00:29:38,420 +حديث زهد وليس رساء فخلّى القصورة يعني اترك القصورة + +249 +00:29:38,420 --> 00:29:44,120 +لأهل الدنيا لمن يحبون الدنيا بينما هو حلّى من + +250 +00:29:44,120 --> 00:29:50,180 +القبر في قعره في قعر التعميق لمعنى الفناء قال في + +251 +00:29:50,180 --> 00:29:59,170 +قعرهأيضًا قوله و أصبح يهدى إلى منزل عميق تؤنق في + +252 +00:29:59,170 --> 00:30:05,170 +حفره فهذا الميت أصبح هدية له لهذا المنزل المنزل + +253 +00:30:05,170 --> 00:30:13,330 +العميق هنا طبعًا تعميق لمعنى الفناء وأيضًا و أصبح + +254 +00:30:13,330 --> 00:30:20,760 +يهدى إلى منزل تعميق لحقيقة الموتتؤنق في حفره يعني + +255 +00:30:20,760 --> 00:30:32,180 +حفرة بعناية و بحب لأنه مدام هناك حب إذا في إتقان + +256 +00:30:32,180 --> 00:30:39,600 +فالإتقان في الصناعة مرتبط باعتبارات أخرى اعتبارات + +257 +00:30:39,600 --> 00:30:46,880 +عاطفية ذي الحبهؤلاء الذين يحبونه يحكمون الإغلاق + +258 +00:30:46,880 --> 00:30:53,920 +عليه القبر أشد الجماعة وجدا به أشد الناس حبا له + +259 +00:30:53,920 --> 00:31:01,940 +أولئك الذين يحسنون إغلاق القبر عليه أشد الجماعة في + +260 +00:31:01,940 --> 00:31:07,440 +طمره في دفنهطبعا لم يقول ايه في اطماره انما قال في + +261 +00:31:07,440 --> 00:31:15,060 +طمره ايضا تعميق لمعنى او لحقيقة الموت حيث عبر + +262 +00:31:15,060 --> 00:31:21,740 +بالاسم ولم يعبر بالمصدر لان المصدر يأتي من الفعل + +263 +00:31:21,740 --> 00:31:25,580 +عبر بالاسم هنا ايضا + +264 +00:31:27,160 --> 00:31:34,520 +قال ابن رومي حيث يجعل المطلق في بُقرة استهداف + +265 +00:31:34,520 --> 00:31:39,120 +الزمن له ويريد + +266 +00:31:39,120 --> 00:31:48,600 +أن يجعل من الإنسان أو يدخل الإنسان الحي في تجربة + +267 +00:31:48,600 --> 00:31:57,040 +الموت ليتعرضوليحسن سلوكه وعمله وأفعاله في الدنيا + +268 +00:31:57,040 --> 00:32:05,300 +فقال نبل الردى يقصدنا قصدك فأجد قبل الموت جدك ودعل + +269 +00:32:05,300 --> 00:32:13,310 +بطالة والغواية جانباوعليك رشدك فكأنني بك قد نعيت + +270 +00:32:13,310 --> 00:32:19,790 +وقد بك الباقون فقدك وتركت منزلك المشيدة معطلا + +271 +00:32:19,790 --> 00:32:25,050 +وسكنت لحدك وخلوت + +272 +00:32:25,050 --> 00:32:32,610 +في بيت البلة وخل بك الملكان وحدك يتمتعون بما جمعت + +273 +00:32:32,610 --> 00:32:42,730 +ولا يرون عليه حمدكمتنعمين وانت تحت الرمس يرعد دودو + +274 +00:32:42,730 --> 00:32:51,170 +جلدك طبعا هنا برضه في عندي .. في عندي تشبيه فكأنني + +275 +00:32:51,170 --> 00:32:58,650 +بكى قد نعيته وقد بكل باكون فقدك الأداة .. الأداة + +276 +00:32:58,650 --> 00:33:07,150 +التشبيه كأني .. كأنه والمشبه به يعني شبه حالته + +277 +00:33:09,560 --> 00:33:10,220 +أه + +278 +00:33:12,630 --> 00:33:22,430 +حالته في الحياة بحالته في الموت و طبعا هذا تعميق + +279 +00:33:22,430 --> 00:33:30,630 +لمعنى الفناء فالمسافة بين الحياة و النعي صفر + +280 +00:33:30,630 --> 00:33:37,150 +فكأنني بك قد نعيت و قد بكل بكون فقدك هذا طبعا + +281 +00:33:37,150 --> 00:33:43,590 +تعميق لمعنى الفناء لأن مدة الزمن صفروتركت منزلك + +282 +00:33:43,590 --> 00:33:51,950 +المشيدة معطلا وسكنت لحدك كنت لحدة تعبر عن يعني او + +283 +00:33:51,950 --> 00:33:58,070 +انها ايه تعمق المعنى لحدك لأن اللحد هو يعني صورة + +284 +00:33:58,070 --> 00:34:07,210 +مخيفة من صور ايه القبرو كذلك و خلوت في بيت البلة و + +285 +00:34:07,210 --> 00:34:12,270 +خل بك الملكان وحدك و سلاك أهلك كلهم و نسوا على + +286 +00:34:12,270 --> 00:34:19,090 +أيام عهدك إلى آخره فهذا كله يعمق من حقيقة الموت و + +287 +00:34:19,090 --> 00:34:27,950 +حقيقة الفناء و حقيقة الذهب + +288 +00:34:30,730 --> 00:34:35,550 +أيضًا من التجديد في قصيدة الرثاء أننا وجدنا الشاعر + +289 +00:34:35,550 --> 00:34:41,110 +يعبّر في قصيدة الرثاء عن الصخط وعدم الرضا تجاه + +290 +00:34:41,110 --> 00:34:47,390 +الزمن أو التبرم من الزمن بالإضافة إلى الحزن العميق + +291 +00:34:47,390 --> 00:34:56,870 +واللوعة الشديدةوسوء الفهم للقضاء والقدر كما في قول + +292 +00:34:56,870 --> 00:35:03,650 +بشار ابن بوردن في رسائي أحد الذنادقة من أصدقائه + +293 +00:35:03,650 --> 00:35:09,570 +فقال اشرب على تلف الأحبة إننا جذر المنية ضاعينين + +294 +00:35:09,570 --> 00:35:17,230 +وخفضة ويلي عليه وويلتي من بينه كان المحبة وكنت حبا + +295 +00:35:17,230 --> 00:35:24,490 +فانقضىقد ذوقت ألفته و ذوقت فراقه، فوجدت ذا عسلا و + +296 +00:35:24,490 --> 00:35:30,970 +ذا جمرة الغضا إن كلمات اشرب، اتلف، لا أحب، وجوظ + +297 +00:35:30,970 --> 00:35:37,950 +المنية، ويلي، ويلتي، ذوقت، جمرة الغضا، كلها كلمات + +298 +00:35:37,950 --> 00:35:48,960 +تعبر عن حزن عميقوشعور قليم وسخط عند الشاعر تجاه ما + +299 +00:35:48,960 --> 00:35:53,520 +يفعله الزمن فكلمة + +300 +00:35:53,520 --> 00:35:59,880 +ايه؟ اشرب دلال عليه على ان هذا الحزن تحول الى ماء + +301 +00:35:59,880 --> 00:36:05,340 +يجري في العروق اشرب على تلف الأحبة وطبعا لم يقول + +302 +00:36:05,340 --> 00:36:11,630 +موت الأحبة انما قال تلفوهذا طبعا يشعرنا بأن فكرة + +303 +00:36:11,630 --> 00:36:17,770 +الموت عند الشاعر لم تكن ناضجة أو لم تكن على نحو + +304 +00:36:17,770 --> 00:36:28,590 +يعني إسلامي و أيضا تنبيؤنا بأنه لم يكن هناك رضا + +305 +00:36:28,590 --> 00:36:37,150 +اتجاه الزمن لدى الشاعرإذ إنه متبرم من الزمن وأيضا + +306 +00:36:37,150 --> 00:36:43,390 +استعمال كلمة جذر المنية أي أن الناس أو الإنسان هو + +307 +00:36:43,390 --> 00:36:50,570 +ضحية لهذا الموت إننا ضحايا لهذا الموت الذي يسخن + +308 +00:36:50,570 --> 00:36:53,610 +فينا القتل والموت + +309 +00:36:58,670 --> 00:37:06,760 +أيضاً وجدنا من التعبير العميقواللوع الشديدة قول + +310 +00:37:06,760 --> 00:37:13,080 +العُتبي في ابن له واختطفته المنية فقال وقال ثمني + +311 +00:37:13,080 --> 00:37:20,200 +دهري بنية فشطره فلمّا تقض شطره عاث في شطري ألا ليت + +312 +00:37:20,200 --> 00:37:25,580 +أمي لم تلدني وليتني سبقتك إذا كنا إلى غاية النجر + +313 +00:37:25,580 --> 00:37:31,740 +وكنت به أقنع فأصبحت كل ما كنت به فاضت دموعي على + +314 +00:37:31,740 --> 00:37:39,150 +نحريهذه الأبيات تعب عن حزن عميق لأن علاقة بين + +315 +00:37:39,150 --> 00:37:47,250 +الشاعر والميت هي علاقة أبوها وابنها كما وظف الشاعر + +316 +00:37:47,250 --> 00:37:54,250 +رسالة تعبية عن نزعة التشاؤم والموقف الخاطئ تجاه + +317 +00:37:54,250 --> 00:38:00,890 +الزمن كما في قول ابن الرومي دهر يشيع سبته أحدهم + +318 +00:38:02,950 --> 00:38:09,510 +متتابع ما ينقضي أمده، والحال من سعد يساعدنا طورًا، + +319 +00:38:09,510 --> 00:38:17,310 +ونحس مُعقِب نكده، نبكي على زمن ومن زمن، فبكاءنا + +320 +00:38:17,310 --> 00:38:24,470 +موصولة مُدده، + +321 +00:38:24,470 --> 00:38:30,710 +ونرى مكارهنا مُخلّدة، والعمر يذهب فانيا عدده، + +322 +00:38:30,710 --> 00:38:38,290 +فانيا عدده،طبعا هنا الشاعر ينظر .. ابن رومي هو + +323 +00:38:38,290 --> 00:38:44,490 +طبعا كما قلنا الشاعر ايه التشاؤن ينظر إلى حالة + +324 +00:38:44,490 --> 00:38:45,350 +جنائزية + +325 +00:38:49,090 --> 00:38:57,630 +فاليوم يشيّع أيه؟ يشيّع أمس دهر يشيّع سبته أحده + +326 +00:38:57,630 --> 00:39:05,450 +فالأحد يشيّع السبت الذي ماض بالامس وكأن العلاقة + +327 +00:39:05,450 --> 00:39:15,340 +بين الأيام هي علاقة جنائزيةتشجيع تشجيع الأموات + +328 +00:39:15,340 --> 00:39:21,300 +الأحد يشجع السبت والاثنين يشجعوا للأحد وهكذا + +329 +00:39:21,300 --> 00:39:27,120 +مستتابع ما ينقضي أبدهوالحال من سعد يساعدنا طورا + +330 +00:39:27,120 --> 00:39:40,400 +أما السعادة فهي يعني طور عابر و .. و .. يعني نحش + +331 +00:39:40,400 --> 00:39:47,140 +يعني مشفوع أو مطبوع إيه بنكد وهكذا إيه الحياة نبكي + +332 +00:39:47,140 --> 00:39:55,800 +على زمن نبكي على معضن ضاع منانبكي على زمن .. على + +333 +00:39:55,800 --> 00:40:02,180 +زمن مضى حزنا عليه يعني نبكي حزنا على ماضى وأيضا + +334 +00:40:02,180 --> 00:40:08,560 +نبكي من زمن لم يأتي نقول مستقبل يعني نبكي حزنا على + +335 +00:40:08,560 --> 00:40:16,360 +فائب ونبكي خوفا من قادم فحياتنا هي أيه حياة بكائية + +336 +00:40:16,360 --> 00:40:26,970 +فبكاءنا موصولة مددهونرى مكارهنا مخلدة والعمر يذهب + +337 +00:40:26,970 --> 00:40:38,630 +فانيا عدده نرى أن هذه المكاره والمصابي مستمرة من + +338 +00:40:38,630 --> 00:40:44,930 +التجديد أيضا حسن التعليل أو نقل تجربة الشاعر + +339 +00:40:44,930 --> 00:40:53,400 +الخاصة إلى تجربة عامة يلتقي فيها مع غيرهالتعبير عن + +340 +00:40:53,400 --> 00:41:01,960 +عميقي حزنه والأسى الذي لحق به فمثلا نجد ابن زياد + +341 +00:41:01,960 --> 00:41:12,740 +بدل أن يرثي زوجته يبكي على طفله الذي فارق أمه وهذا + +342 +00:41:12,740 --> 00:41:22,770 +حسن تعليلبأن نقل التجربة الخاصة نقلها + +343 +00:41:22,770 --> 00:41:30,970 +اليه تجربة عامة ليعمق الحزن والأساء فقال ألا مرأ + +344 +00:41:30,970 --> 00:41:38,380 +الطفل المفارقة أمهمبُعيد الكرا عيناه تبتدراني رأى + +345 +00:41:38,380 --> 00:41:45,960 +كل أم وابنها غير أمه يبيتان تحت الليل ينتجياني + +346 +00:41:45,960 --> 00:41:53,900 +وبات وحيدا في الفراش تجنه بلابل قلب دائم خفقاني + +347 +00:41:53,900 --> 00:41:59,850 +فلا تلحياني إن بكيت فإنماأداوي بهذا الدمع ما + +348 +00:41:59,850 --> 00:42:06,170 +ترياني وهبني عزمة الصبر عنها لأنني جليد تمن بالصبر + +349 +00:42:06,170 --> 00:42:12,710 +لبني ثماني ضعيف القوة لا يطب الأجر حسبة ولا يقتسي + +350 +00:42:12,710 --> 00:42:17,710 +بالناس في الحد ثاني طبعا هنا إيه هنا عندي حسن + +351 +00:42:17,710 --> 00:42:22,700 +تعليل نقل تجربة خاصةإلى تجربة عامة فبدل أن يبكي + +352 +00:42:22,700 --> 00:42:32,340 +زوجته بكى حال طفله فقال ألا مرأ الطفل المفارق أمه + +353 +00:42:32,340 --> 00:42:40,260 +بعيد الكرا عيناه تبت ديراني هنا ينقل التجربة + +354 +00:42:40,260 --> 00:42:47,880 +الخاصة إلى تجربة عامةيلتقي فيها الجميع ألا مرأ + +355 +00:42:47,880 --> 00:42:55,480 +الطفل المفارق أمه بعيد الكره عيناه تبت ديراني هذا + +356 +00:42:55,480 --> 00:42:59,540 +المنظر يحدث حزنا + +357 +00:43:01,160 --> 00:43:06,380 +عند الجميع لأن هو حاله طفل ولم يقول ايه طفلي او + +358 +00:43:06,380 --> 00:43:15,660 +زوجتي رأى كل طفل رأى كل أم وابنها غير أمه يبيتان + +359 +00:43:15,660 --> 00:43:20,900 +تحت الليل ينتجان وبيت واحدا في الفراش اذا هنا كما + +360 +00:43:20,900 --> 00:43:27,320 +نرى انه نقل التجربة من الحالة الخاصة للحالة العامة + +361 +00:43:27,320 --> 00:43:32,790 +ليعمق هذه التجربةومن التجديد أيضًا الرثاء الديني + +362 +00:43:32,790 --> 00:43:37,610 +يعني بيكون إيه بدافع ديني أو سياسي كما في بكاء + +363 +00:43:37,610 --> 00:43:42,330 +شعراء الشيعة لآمنتهم الذين نصبوا لهم العذاق + +364 +00:43:42,330 --> 00:43:47,390 +والمقاتم وناحوا عليهم نواحا حارا كما نجد عند السيد + +365 +00:43:47,390 --> 00:43:51,750 +الحميري ودعبل الخزاعي وذلك الجن الحمصي ومنصور + +366 +00:43:51,750 --> 00:43:58,890 +النمريوأيضًا السياسي كما في قول سلم الخاشر في + +367 +00:43:58,890 --> 00:44:04,570 +البرامج الذين نكبهم الرشيد فقال خوت أنجم الجدوى + +368 +00:44:04,570 --> 00:44:11,990 +وشلت يد الندى وغاضت بحار الجود بعد البرامج هوت + +369 +00:44:11,990 --> 00:44:16,070 +أنجم كانت لأبناء برماكن بها يعرف الحادي طريق + +370 +00:44:16,070 --> 00:44:22,950 +المسالك الحادي يعني الذي يقود القبلوطريق المسالك + +371 +00:44:22,950 --> 00:44:29,010 +كان الطريق الذي تؤدي إلى المدن والامصار أيضا من + +372 +00:44:29,010 --> 00:44:35,960 +التجديد رثاء المدن والاماكنفقد رأينا أن الشاعر + +373 +00:44:35,960 --> 00:44:47,400 +العباسي هو ابن المدينة والحضارة فلذلك بكاه بكاء حر + +374 +00:44:47,400 --> 00:44:54,580 +قال ألبكي لإحراق وهدم منازل وقتل وانهاب الله + +375 +00:44:54,580 --> 00:45:02,160 +والذخائر والله هنا بمعنى الهدايا والعطاياوإبراز + +376 +00:45:02,160 --> 00:45:08,600 +ربّاتي البيوت حواصرة وإبراز ربّاتي البيوت حواصرا + +377 +00:45:08,600 --> 00:45:16,560 +خرجنا بلا خمر ولا بمآذر كأن لم تكن بغداد أحسن + +378 +00:45:16,560 --> 00:45:25,040 +منظرا أحسن منظرا وملها رأته عين لاه وناظريأيضًا في + +379 +00:45:25,040 --> 00:45:31,280 +عندي اتراف العاطفي والاسراف الشعوري وهذه طبعًا من + +380 +00:45:31,280 --> 00:45:38,540 +العيوب التي أفرضتها الحضارة الجديدة كما نجد في + +381 +00:45:38,540 --> 00:45:47,180 +بكاء القاسم ابن يوسف على شاة اللهم فقال عينه عينه + +382 +00:45:47,180 --> 00:45:53,500 +بكي لعنزنا السوداء كالعروس الأدماء يوم الجلاء + +383 +00:45:55,300 --> 00:46:01,340 +ويقول ابن زياد في لثاء فرس أشهب طلبه منه المعتصم + +384 +00:46:01,340 --> 00:46:09,100 +ولم يستطع رده فقال كيف العزاء وقد مضى لسبيله عننا + +385 +00:46:09,100 --> 00:46:16,580 +فودعنا الأحم الأشهب منع الرقاد جوا تضمنه الحشى + +386 +00:46:16,580 --> 00:46:20,540 +وهوا أكابده وهم منصبه + +387 +00:46:21,930 --> 00:46:28,490 +والأحمل أشهب يعني الفرث مانع اللقاد جوًا مانع + +388 +00:46:28,490 --> 00:46:34,850 +اللقادة يعني مانع النوم حرارة في القلب وهوًا وحب + +389 +00:46:34,850 --> 00:46:42,230 +شديد وكابله وهم منصب وهم متعب أيضًا وظفت خاصية + +390 +00:46:42,230 --> 00:46:51,350 +الإساء في ترقيق لغة العتابونجد ذلك في مثل قول سعيد + +391 +00:46:51,350 --> 00:46:58,330 +ابن حميد يعاتب صديقهمفقال أقلل عتابك فالبقاء قليل + +392 +00:46:58,330 --> 00:47:06,070 +و الدهر يعدل تارة ويميل لم أبكي من زمن زمنت صرفه + +393 +00:47:06,070 --> 00:47:15,070 +إلا بكيت عليه حين يزول فلإن سبقت لتبكين بحصرة ولا + +394 +00:47:15,070 --> 00:47:23,020 +يكثرن علي منك عويلولئن سبقت و لا سبقت ليمضيا ما لا + +395 +00:47:23,020 --> 00:47:30,600 +يشاكله لدي خليله وأراك تكلف بالعتاب وودنا صاف + +396 +00:47:30,600 --> 00:47:39,200 +عليهم من الوفاء دليله ولعل أيام الحياة قليلةفعلى + +397 +00:47:39,200 --> 00:47:45,020 +ما يكثر عطبنا ويطوله إذا الشاعري استعمل الرثاء + +398 +00:47:45,020 --> 00:47:53,440 +والموت في ترقيق لغة الإعتاب يعني بمعنى أنه ما دام + +399 +00:47:53,440 --> 00:48:01,920 +أن الموتحقيقة ونهاية ثابتة، لا تتخلف، وأن البقاء + +400 +00:48:01,920 --> 00:48:09,100 +لا يمكن أن يتحقق البقاء الدائم في الحياة، فلماذا + +401 +00:48:09,100 --> 00:48:17,700 +يكثر بعضنا بعضا في الاعتاب؟الأصل أن نرقق لغة + +402 +00:48:17,700 --> 00:48:28,120 +العتاب وأن يتحمل بعضنا بعضا و هذه الحقيقة حقيقة + +403 +00:48:28,120 --> 00:48:39,120 +الفناء يعني كفيلة بأن نخلص في المواد و نقلل في + +404 +00:48:39,120 --> 00:48:44,280 +العتابهذا و بالله التوفيق و صلى اللهم على نبينا + +405 +00:48:44,280 --> 00:48:48,560 +محمد و على آله و صحبه و سلم تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/c_WcZQNBN3c.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/c_WcZQNBN3c.srt new file mode 100644 index 0000000000000000000000000000000000000000..823a62a572237604ef023acb207375e4a0999048 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/c_WcZQNBN3c.srt @@ -0,0 +1,495 @@ +1 +00:00:05,870 --> 00:00:08,410 +بسم الله الرحمن الرحيم، وأصلي وأسلم على نبينا + +2 +00:00:08,410 --> 00:00:14,010 +محمد، وعلى آله وصحبه وسلم تسليماً كثيراً، وبعد + +3 +00:00:14,010 --> 00:00:19,590 +هذه المحاضرة عن التجديد في الأوزان والقوافي في الشعر + +4 +00:00:19,590 --> 00:00:25,210 +العباسي، حقيقة كما ذكرنا من قبل أن التطور العقلي + +5 +00:00:25,210 --> 00:00:31,670 +والثقافي والفكري الذي ظهر في هذا العصر أدى إلى فتح + +6 +00:00:31,670 --> 00:00:37,450 +مجالات كثيرة وتجديد في كثير من موضوعات الشعر + +7 +00:00:37,450 --> 00:00:42,500 +العربي في هذه الفترة، وهو ينتقل هذا التجديد إلى + +8 +00:00:42,500 --> 00:00:52,000 +الأوزان والقوافي، وذلك لأن الإحساس والشعور عند الإنسان + +9 +00:00:52,000 --> 00:00:58,370 +العباسي قد تطور بفعل هذا التطور العقلي، لأن الإحساس + +10 +00:00:58,370 --> 00:01:04,310 +فرع عن العقل، فكل ما تطور العقل كل ما رق الإحساس + +11 +00:01:04,310 --> 00:01:12,970 +ورقة الإحساس تستدعي تغيرًا في أوزان وقوافي الشعر + +12 +00:01:12,970 --> 00:01:21,920 +العربي في هذه الفترة، والمعلوم أن الغناء هو أو الشعر + +13 +00:01:21,920 --> 00:01:28,900 +الغناء هو الذي استقبل مثل هذه التجديدات بكل أريحية + +14 +00:01:28,900 --> 00:01:36,720 +وبكل سعة، فكان هو أقرب الموضوعات إلى مجال التجديد + +15 +00:01:36,720 --> 00:01:42,580 +في الوزن والقافية، ومعلوم أن الغناء ظهر في الحجاز + +16 +00:01:42,580 --> 00:01:52,010 +ثم انتقل إلى الكوفة، ثم بعد ذلك إلى مدن العراق، ومن + +17 +00:01:52,010 --> 00:02:00,030 +خلال هذا التطور، وجدنا أن هناك متطلبات يفرضها + +18 +00:02:00,030 --> 00:02:07,920 +الغناء بسبب آلاته المستحدثة في هذا العصر، وهذا ما + +19 +00:02:07,920 --> 00:02:16,100 +دفع إلى التجديد وظهور وزن المستث الذي اكتشفه + +20 +00:02:16,100 --> 00:02:19,120 +الوليد + +21 +00:02:19,120 --> 00:02:20,080 +ابن يزيد + +22 +00:02:23,330 --> 00:02:31,430 +بسبب الغناء، وجدنا أن الشاعر العباسي ينفذ إلى أوزان + +23 +00:02:31,430 --> 00:02:37,570 +جديدة اكتشفها، وسجلها الخليل بن أحمد الفراهيدي في + +24 +00:02:37,570 --> 00:02:43,310 +نظريته العروضية، إذ جعل نظريته تدور في خمس دوائر أو + +25 +00:02:43,310 --> 00:02:48,510 +بعبارة أخرى، تدور أجزاؤها من الأسباب والأوتاد + +26 +00:02:48,510 --> 00:02:53,970 +بالتباديل والتوافق، وهذه النظرية استعملها القليل + +27 +00:02:53,970 --> 00:03:02,150 +بن أحمد الفراهيدي في وضع معجمه، وهو أول معجم في اللغة + +28 +00:03:02,150 --> 00:03:08,090 +العربية، معجم العين، فهو يطبق هذه النظرية أيضًا على + +29 +00:03:08,090 --> 00:03:17,530 +الأوزان، من أهم أو أهم وزنين مهملين لم يستعملهما + +30 +00:03:17,530 --> 00:03:23,010 +الشعراء السابقون، واكتشفهما الخليل بن أحمد، هما وزنا + +31 +00:03:23,010 --> 00:03:29,310 +المضارع والمقتضب، وهما وزنان يمكن استعمالهما، غير أنهما + +32 +00:03:29,310 --> 00:03:38,690 +ثقيلان على الأذن لعدم رواجهما أو النظم عليهما إلا + +33 +00:03:38,690 --> 00:03:46,550 +تصنّعًا، وكان تلميذ الفراهيدي، السميدع، أول من استعمل + +34 +00:03:46,550 --> 00:03:54,270 +هذه الأوزان، ثم أخذ عنه رزين العرضي، فأتى ببدائع جمة + +35 +00:03:55,460 --> 00:04:02,340 +وكان أبو العتاهية، الداهية، هو أول شاعر أو أهم شاعر + +36 +00:04:02,340 --> 00:04:11,300 +نابغ عني بصناعة أشعار على تلك الأوزان المهملة، روى + +37 +00:04:11,300 --> 00:04:18,590 +له ابن قتيبة قولَه: "للمنون دوائر يدرن صرفها هنّ + +38 +00:04:18,590 --> 00:04:25,390 +ينتقيننا واحدا فواحدة"، وينظم على المضارع، أيه عكبه + +39 +00:04:25,390 --> 00:04:33,050 +ما يضرك أن تطلقي صفاتي، ويقول أبو نواس على ودني + +40 +00:04:33,050 --> 00:04:43,850 +المقتضَب: "حمل الهوى تعبًا يستخفه الطربُ، إن بكى يحق له + +41 +00:04:43,850 --> 00:04:51,190 +ليس ما به لعب"، الواضح أن هذا الوزن أكمل نغمًا + +42 +00:04:51,190 --> 00:04:57,170 +وإيقاعًا من المضارع، كما اكتشف تلميذ الفراهيدي + +43 +00:04:57,170 --> 00:05:03,430 +الأخفش وزنًا سماه الخبب أو المتدارك، لأنه تدركه على + +44 +00:05:03,430 --> 00:05:09,590 +أستاذه الخليل بن أحمد الفراهيدي، نجد عمومًا أن + +45 +00:05:09,590 --> 00:05:14,290 +الشعر العباسي يميله عن الأوزان الطويلة المعقدة + +46 +00:05:14,290 --> 00:05:21,310 +إلى الأوزان الخفيفة المجزّوءة، وإلى المقطعات أو + +47 +00:05:21,310 --> 00:05:26,310 +القصائد القصيرة، دون القصائد الطويلة التي رأيناها + +48 +00:05:26,310 --> 00:05:32,280 +في الشعر الجاهلي، فالشاعر الجاهلي كان يستعمل أوزانًا + +49 +00:05:32,280 --> 00:05:42,480 +طويلة معقدة، وكذلك يستعمل قصائد طويلة، وهذا يعني منبثقًا + +50 +00:05:42,480 --> 00:05:48,380 +من طبيعة الحياة أو طبيعة الشاعر الجاهلي، فالحياة في + +51 +00:05:48,380 --> 00:05:55,620 +العصر الجاهلي كانت حياة بدائية، وكان الشاعر الجاهلي + +52 +00:05:55,620 --> 00:06:03,060 +يخوض صراعًا مع الحياة، فالحياة في الصحراء صعبة، فيها + +53 +00:06:03,060 --> 00:06:10,960 +تضحيات، فيها صراع، ولذلك كان صراعه قويًّا مع الزمن + +54 +00:06:10,960 --> 00:06:19,620 +ولذلك وجدنا أنه يطيل القصائد ويستعمل الأوزان + +55 +00:06:19,620 --> 00:06:26,960 +الطويلة، أما الشاعر العباسي فهو ابن المدينة، هو ابن + +56 +00:06:26,960 --> 00:06:36,640 +الحضارة، حيث يتقارب المكان، ولا يشعر بقلق الصحراء + +57 +00:06:36,640 --> 00:06:43,300 +كما كان يعيش الإنسان الجاهلي، ولذلك رقت أحاسيسه + +58 +00:06:43,300 --> 00:06:46,960 +ورقت + +59 +00:06:46,960 --> 00:06:54,960 +ألفاظه، وخفت الأوزان، وقل عدد الأبيات في القصيدة + +60 +00:06:54,960 --> 00:07:05,800 +لأنه ذو إحساس رقيق، وذو عاطفة رقيقة، فهو لا يحتمل تلك + +61 +00:07:05,800 --> 00:07:16,120 +الأصوات الصاخبة ولا القصائد الطويلة، لذلك وجدنا + +62 +00:07:16,120 --> 00:07:22,740 +الشاعر العباسي ينظم في الأوزان المجزّوءة والخفيفة + +63 +00:07:22,740 --> 00:07:30,550 +وخاصة في مواضيع الغزل والمجون والزهد والحكم، أما + +64 +00:07:30,550 --> 00:07:35,570 +الأوزان المعقدة فقد جعلها لمواضيع الشعر الرسمي مثل + +65 +00:07:35,570 --> 00:07:41,270 +المديح والرثاء، نستطيع أن نرى نموذجًا لذلك عند أبي تميم + +66 +00:07:41,270 --> 00:07:46,250 +بن إياس، الذي أكثر من النظم على مجزّئات الكامل + +67 +00:07:46,250 --> 00:07:53,470 +والرجز والمستث على شكله، قوله: "ويلي ممن جفاني وحبّه + +68 +00:07:53,470 --> 00:08:02,840 +قد براني، وطيفه يلقاني، وشخصه غير داني، أغرق كالبدري + +69 +00:08:02,840 --> 00:08:10,240 +تعشى بحسنه العيناني"، أما + +70 +00:08:10,240 --> 00:08:17,740 +التجديد في القوافي، فقد ظهرت له أشكال عدة، منها + +71 +00:08:17,740 --> 00:08:24,840 +المزدوجات، ومنها الربعيات، ومنها المصمّتات، أما + +72 +00:08:24,840 --> 00:08:33,140 +المزدوجات فهي أن يتساوى شطرا البيت في الوزن + +73 +00:08:33,140 --> 00:08:43,660 +ويتفقا في القافية، فكل بيت يتكون من شطرين متساويين + +74 +00:08:43,660 --> 00:08:50,920 +في الوزن، ومتفقين في القافية، أما البيت الذي يليه + +75 +00:08:50,920 --> 00:09:00,500 +فتختلف قافيته لكنها تتشابه في الشطرين، ونسب إلى + +76 +00:09:00,500 --> 00:09:06,360 +الوليد بن يزيد منظومة من هذا الطراز، وإن صحّ ذلك + +77 +00:09:06,360 --> 00:09:13,630 +فهو أول من استحدثه، ثم تلاه بشار بن برد، وقد اعتمد + +78 +00:09:13,630 --> 00:09:19,450 +الشعر التعليمي كما رأينا من قبل على المزدوجات، وكان + +79 +00:09:19,450 --> 00:09:25,030 +من أهم الشعراء الذين نظّموا على هذا الوجه المزدوجات + +80 +00:09:25,030 --> 00:09:33,130 +محمد بن إبراهيم الفزاري، وأبو العتاهية بمزدوجته + +81 +00:09:33,130 --> 00:09:40,400 +ذات الأمثال، وقد اعتمل الفرس على هذا الفن في نهضتهم + +82 +00:09:40,400 --> 00:09:48,740 +الأدبية تحت ما يسمى المثنوي أي المزدوج، وهذا الفنّ + +83 +00:09:49,750 --> 00:09:55,790 +رشحة لظهور الربعيات في الأدبين العربي والفرسي، + +84 +00:09:55,790 --> 00:10:03,250 +والمزدوجة قد تأتي في ثلاثة أشطر كما رأينا عند + +85 +00:10:03,250 --> 00:10:13,070 +الفزاري في الشعر التعليمي، عندما يعني، ذكر فيما + +86 +00:10:13,070 --> 00:10:19,250 +يتحدث عن عظمة الله سبحانه وتعالى، وخلق الأرض ونحو + +87 +00:10:19,250 --> 00:10:29,750 +ذلك، أما الربعيات فهي تتكون من أربعة أشطر، يتشابه + +88 +00:10:29,750 --> 00:10:36,650 +الشطر الأول والثاني والرابع في القافية، أما الثالث + +89 +00:10:36,650 --> 00:10:44,750 +فقد يتفق وقد يختلف في القافية، كقول بشار بن برد: + +90 +00:10:45,600 --> 00:10:52,180 +"ربابة، ربّة البيت تصبّ الخل في الزيت، لها عشر دجاجات + +91 +00:10:52,180 --> 00:11:00,640 +وديك حسن الصوت"، طبعًا نلاحظ أن الشطر الأول والشطر + +92 +00:11:00,640 --> 00:11:05,140 +الثاني والثالث متّفقات في القافية + +93 +00:11:08,250 --> 00:11:17,990 +أما المصمّتات، وأخذت هذه التسمية من الصّمت أي القلادة + +94 +00:11:17,990 --> 00:11:25,430 +التي يوجد بها لآلئ، وسيتألف هذه القصائد من أدوار + +95 +00:11:25,430 --> 00:11:32,790 +والدور هنا يقوم مقام البيت في المزدوجة، ويتكون الدور + +96 +00:11:32,790 --> 00:11:42,280 +من أربعة أشطر أو أكثر، يعني أقل شيء أربعة أشطر بحيث + +97 +00:11:42,280 --> 00:11:47,420 +تتفق القافية في الشطور كلها ما عدا الشطر الأخير + +98 +00:11:47,420 --> 00:11:54,100 +فإن قافيته تختلف، ولكنها + +99 +00:11:54,100 --> 00:12:00,760 +تتفق مع الشطر الأخير من الدور الثاني والثالث إلى + +100 +00:12:00,760 --> 00:12:05,160 +آخر المصمّمة، ويختلفون + +101 +00:12:05,160 --> 00:12:13,240 +مع أشطر دورهم، وتسمى هذه الأشطر الأخيرة بعمود الصمت + +102 +00:12:13,240 --> 00:12:16,540 +إذًا + +103 +00:12:16,540 --> 00:12:24,480 +المصمّمة هي عبارة عن قصيدة تتكون من أدوار كل دور + +104 +00:12:24,480 --> 00:12:35,490 +فيه أقل شيء أربعة أشطر وقد تزيد خمسة، ستة، تتفق + +105 +00:12:35,490 --> 00:12:40,270 +الأشطر كلها مع ذا الشطر الأخير في القافية، أما + +106 +00:12:40,270 --> 00:12:45,750 +الشطر الأخير في الدور فإنه يتفق معه الشطر الأخير + +107 +00:12:45,750 --> 00:12:51,770 +في الدور الثاني والثالث إلى آخره في القافية فقط + +108 +00:12:51,770 --> 00:13:03,990 +نضرب لذلك مثال، قول أبي نواس: "سلاف دني كشمس دجني، كدمع + +109 +00:13:03,990 --> 00:13:11,070 +جفني كخمر عدني، طبيخ شمسي كلون ورسي، ربيب فرسي حليف + +110 +00:13:11,070 --> 00:13:17,650 +سجني، يا من لحاني على زماني اللهوشاني، فلا تلومني + +111 +00:13:17,650 --> 00:13:29,950 +طبعًا نلاحظ أن الدور الأول، الأشطر كلها متّفقة وزنًا و + +112 +00:13:29,950 --> 00:13:39,070 +قافية، وطبعًا احنا قلنا إن الشطر الأخير يستقل + +113 +00:13:39,070 --> 00:13:45,790 +بقافية، لكن هنا في الدور الأول كانت القافية في كل + +114 +00:13:45,790 --> 00:13:53,010 +أشطر، وذلك ما يقابل التصريع في القصيدة، لكن إذا + +115 +00:13:53,010 --> 00:13:57,310 +نظرنا إلى الدور الثاني والثالث سنجد أيه الاختلاف + +116 +00:13:57,310 --> 00:14:06,230 +قال: "طبيخ شمسي كلون ورسي، ربيب فرسي حليف سجني"، الدور + +117 +00:14:06,230 --> 00:14:12,810 +الثاني، الشطر الأول والشطر الثاني والثالث كلها + +118 +00:14:12,810 --> 00:14:16,030 +متّفقة في الوزن والقافية + +119 +00:14:18,650 --> 00:14:25,810 +أما الشطر الأخير من هذا الدور فإنه يستقل بقافية + +120 +00:14:25,810 --> 00:14:31,030 +تخالف قافية الأشطر في هذا الدور، ولكنها متّفقة مع + +121 +00:14:31,030 --> 00:14:37,270 +الشطر الأخير من الدور الأول، وكذلك إذا نظرنا إلى + +122 +00:14:37,270 --> 00:14:43,250 +الدور الثالث وبقية الأدوار + +123 +00:14:46,100 --> 00:14:49,220 +هذا هو، والله التوفيق، وصلى الله على نبينا محمد + +124 +00:14:49,220 --> 00:14:52,520 +وعلى آله وصحبه وسلم تسليماً كثيراً diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/dSiRT8UsQ54_raw.json b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/dSiRT8UsQ54_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..7a9c4565b44a6b3fa9cc85e77f560cd189cb2f45 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/dSiRT8UsQ54_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, 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"word": " الجارية", "probability": 0.9847005208333334}, {"start": 920.82, "end": 921.72, "word": " فقال", "probability": 0.9425455729166666}, {"start": 921.72, "end": 922.02, "word": " أبو", "probability": 0.8714192708333334}, {"start": 922.02, "end": 922.6, "word": " دلامة", "probability": 0.7672119140625}, {"start": 922.6, "end": 923.56, "word": " مستظرفا", "probability": 0.93740234375}, {"start": 923.56, "end": 924.34, "word": " إن", "probability": 0.736328125}, {"start": 924.34, "end": 924.64, "word": " كنت", "probability": 0.98583984375}, {"start": 924.64, "end": 925.08, "word": " تبغي", "probability": 0.953369140625}, {"start": 925.08, "end": 925.48, "word": " العيش", "probability": 0.7909342447916666}, {"start": 925.48, "end": 926.3, "word": " حلوا", "probability": 0.789794921875}, {"start": 926.3, "end": 927.04, "word": " صافيا", "probability": 0.9547526041666666}, {"start": 927.04, "end": 928.46, "word": " فالشعر", "probability": 0.97890625}, {"start": 928.46, "end": 930.34, 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"end": 965.88, "word": " الشامية", "probability": 0.9928385416666666}, {"start": 965.88, "end": 967.0, "word": " أو", "probability": 0.97119140625}, {"start": 967.0, "end": 967.68, "word": " التركية", "probability": 0.9737955729166666}, {"start": 967.68, "end": 968.18, "word": " مثلا", "probability": 0.953857421875}, {"start": 968.18, "end": 968.78, "word": " أو", "probability": 0.89111328125}, {"start": 968.78, "end": 969.8, "word": " الطخارية", "probability": 0.9207763671875}, {"start": 969.8, "end": 970.34, "word": " أو", "probability": 0.9677734375}, {"start": 970.34, "end": 970.96, "word": " النوبية", "probability": 0.8927408854166666}, {"start": 970.96, "end": 972.28, "word": " فقال", "probability": 0.95751953125}, {"start": 972.28, "end": 972.94, "word": " أبصرت", "probability": 0.8526611328125}, {"start": 972.94, "end": 973.16, "word": " في", "probability": 0.98486328125}, {"start": 973.16, "end": 973.7, "word": " بغداد", "probability": 0.8870849609375}, {"start": 973.7, "end": 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00:00:43,350 +الشعراء في هذا العصر قد تأثروا بهذه الثقافات ولاحظ + +8 +00:00:43,350 --> 00:00:48,770 +ابن قتيبة أن أبا نواس كان يتأثر في بعض أشعاره + +9 +00:00:48,770 --> 00:00:57,110 +بالثقافة الهندية، فمثل ذلك قوله في الخمر: تخيرت + +10 +00:00:57,110 --> 00:01:04,170 +والنجوم وقف لم يتمكن بها المداره، وأراد أبو نواس أن + +11 +00:01:04,170 --> 00:01:11,430 +يؤصل لشرب الخمر فيقول إن شرب الخمر صفة أصيلة وقيمة + +12 +00:01:11,430 --> 00:01:19,670 +أصيلة استعملت من قديم الزمان، وأخذ في التعبير للتعبير + +13 +00:01:19,670 --> 00:01:25,810 +عن هذه الأصالة من الثقافة الهندية، إذ تزعم الهند أن + +14 +00:01:25,810 --> 00:01:31,110 +الله حين خلق الفلك وأصحاب + +15 +00:01:31,110 --> 00:01:36,610 +الحساب يذكرون أن الله حين خلق النجوم جعلها مجتمعة + +16 +00:01:36,610 --> 00:01:44,400 +واقفة في برج ثم سيرها من هناك وأنها لا تزال جارية + +17 +00:01:44,400 --> 00:01:51,700 +حتى تجتمع في ذلك البرج فإذا رجعت إلى حيث اجتمعت + +18 +00:01:51,700 --> 00:01:59,720 +سابقا قامت القيامة وبطل العالم، وأخذ أبو نواس أيضا + +19 +00:02:00,720 --> 00:02:08,900 +من الثقافة الهندية قوله يهجو شخصا مغنيا: قل لزهير + +20 +00:02:08,900 --> 00:02:16,520 +إن إذا حدا رشدا أَقَل أو أَكثر فَأَنْتَ مَهْذَار، سَخِنْتَ مِنْ + +21 +00:02:16,520 --> 00:02:22,240 +شدة البرودة حتى صرت عندي كأنك النار لا يعجب + +22 +00:02:22,240 --> 00:02:31,370 +السامعون من صفتي كذاك، كذلك الثلج بارد حار، وعلق ابن + +23 +00:02:31,370 --> 00:02:37,510 +قتيبة على ذلك بقوله: هذا الشعر يدل على نظر أبي نواس + +24 +00:02:37,510 --> 00:02:44,010 +في علم الطباعه لأن الهند تزعم أن الشيء إذا أفرط في + +25 +00:02:44,010 --> 00:02:55,170 +البرد عاد حارا مؤذيا، ووجدت في بعضهم طبعا أبو نواس + +26 +00:02:55,170 --> 00:03:04,570 +قد أخذ من الثقافة الهندية ما يهجو به زهير أحد + +27 +00:03:04,570 --> 00:03:12,690 +المغنين وأراد أن يهجوه بقلة الحياء أنه قليل الحياء + +28 +00:03:14,260 --> 00:03:18,580 +وبدل أن يستعمل الأسلوب المباشر أو حتى التشبيه + +29 +00:03:18,580 --> 00:03:25,420 +والاستعارة أخذ من الثقافة الهندية ما هو بديل عن + +30 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00:04:43,550 +تطالب الإنسان بأن يقلو من الأخلاق السيئة فقال له + +42 +00:04:43,550 --> 00:04:50,110 +أنْتَ، بدأ أن يقول له أنت قليل حياء، قال: سخنت من شدة + +43 +00:04:50,110 --> 00:04:55,790 +البرودة حتى صرت عندي كأنك النار لا يعجب السامعون من + +44 +00:04:55,790 --> 00:05:01,010 +صفتي، أقام الاسم مقام الوصف فقال صفتي وليس وصفي + +45 +00:05:01,010 --> 00:05:07,830 +وذلك تعميقا لهذه الصفة وتثبيتا لأن الاسم أثبت من + +46 +00:05:07,830 --> 00:05:15,000 +الوصف، كذلك الثلج من حاره لأن هذا رأي رأي أبي + +47 +00:05:15,000 --> 00:05:20,920 +نواس أخذه من الثقافة الهندية فأراد أن يعمق هذا + +48 +00:05:20,920 --> 00:05:32,150 +الوصف فاستعمل الاسم اللي هو صفة بدل الوصف، أيضا ذكر + +49 +00:05:32,150 --> 00:05:39,310 +ابن قتيبة أن كتاب كليلة ودمنة اللي ترجمه ال + +50 +00:05:39,310 --> 00:05:46,790 +the force عن الهند كان مصدراً من مصادر الشعراء في هذا + +51 +00:05:46,790 --> 00:05:54,930 +العصر اعتمدوا عليه في الأخذ بالثقافة الهندية، وذكر + +52 +00:05:54,930 --> 00:06:05,510 +أيضاً ابن عبد ربه أمثلة ومأثورات من الثقافة الهندية + +53 +00:06:05,510 --> 00:06:13,010 +التي أخذها الشعراء مثل قوله: إن الحازم يكره القتال + +54 +00:06:13,010 --> 00:06:19,630 +ما وجد بدًا منه لأن النفقة فيه من النفس والنفقة في + +55 +00:06:19,630 --> 00:06:25,800 +غيره من المال، أن النفقة فيهم من النفس والنفقة في + +56 +00:06:25,800 --> 00:06:31,580 +غيره من المال، وقد أخذ أبو تمام أو نقل هذا المعنى + +57 +00:06:31,580 --> 00:06:38,440 +إلى شعره فقال: كان بين قوم إنما نفقاتهم مال وقوم + +58 +00:06:38,440 --> 00:06:46,280 +ينفقون نفوسا يعني هناك فرق كبير بين من ينفق النفس + +59 +00:06:46,280 --> 00:06:52,160 +ومن ينفق المال فرق شاسعه لأن التضحية بالنفس هي أعلى + +60 +00:06:52,160 --> 00:06:56,120 +شيء والمال + +61 +00:06:56,120 --> 00:07:04,620 +أقل منه، أيضا وجدنا تأثيرًا للثقافة الفارسية أيضا + +62 +00:07:04,620 --> 00:07:09,620 +في الشعر العربي في هذه الفترة، والثقافة الفلسفية + +63 +00:07:09,620 --> 00:07:14,940 +أمدت الشعراء بكثير من الحكم والوصايا في الصداقة + +64 +00:07:14,940 --> 00:07:21,700 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تقواه، ولذلك فالصدق + +76 +00:08:37,250 --> 00:08:43,850 +هو الذي يشكل نموذج ويشكل القيمة الأخلاقية، ولذلك + +77 +00:08:43,850 --> 00:08:48,870 +النصيح هو الإنسان الصادق في نصيحه، فالنصيحة تحتاج + +78 +00:08:48,870 --> 00:08:56,170 +إلى الصدق، إلى صدق الناصح أو نصيحة حازمي، والحازم + +79 +00:08:56,170 --> 00:09:03,290 +هو الذي يجمع بين الشجاعة والحكمة، الشجاعة والحكمة + +80 +00:09:03,290 --> 00:09:10,670 +فالنصيحة تحتاج أيضا إلى الحكمة والحكمة هي فضيلة + +81 +00:09:10,670 --> 00:09:14,450 +العقل، وتحتاج + +82 +00:09:14,450 --> 00:09:22,630 +إلى الشجاعة، إلى جرعة، إذا نجد أن بشارا يضع ضوابط + +83 +00:09:24,080 --> 00:09:28,260 +من السياسة + +84 +00:09:28,260 --> 00:09:34,700 +والسلوك لتبطي النصيحة أن تكون نابعة من صدق وأن + +85 +00:09:34,700 --> 00:09:43,190 +يكون فيها جرعة وأن يكون فيها حكمة، إذا بلغ الرأي + +86 +00:09:43,190 --> 00:09:50,050 +المشهورة فاستعن برأي نصيح أو نصيحة حازمه، كذلك نقلت + +87 +00:09:50,050 --> 00:09:56,690 +بعض الأقوال والحكم والأمثال لأدباء وحكماء الفرس، من + +88 +00:09:56,690 --> 00:10:02,650 +ذلك قولهم: إذا أقبلت عليك الدنيا فأنفق فإنها لا + +89 +00:10:02,650 --> 00:10:10,030 +تفنى، وإذا أدبرت عنك فأنفق فإنها لا تبقى، أخذ هذا + +90 +00:10:10,030 --> 00:10:17,610 +المعنى أحد شعراء الدولة العباسية فقال: فأنفق إذا + +91 +00:10:17,610 --> 00:10:24,330 +أنفقت إن كنت موثرا، وأنفق على ما خيلت حين تعسره فلا + +92 +00:10:24,330 --> 00:10:30,250 +الجود يفني المال والجد مقبل ولا البخل يبقي المال + +93 +00:10:30,250 --> 00:10:38,330 +والجد مدبر، فأنفق إذا أنفقت يعني فأنفق بسخاء إذا + +94 +00:10:38,330 --> 00:10:46,190 +أردت الإنفاق في حالتي اليسري والعسري وهذا هو الإنفاق + +95 +00:10:46,190 --> 00:10:52,790 +الجميل، الإنفاق الجميل هو الذي هو الذي ينبع من + +96 +00:10:52,790 --> 00:11:00,910 +إرادة صادقة، الشيء الثاني أن يكون مستخرقا للزمان + +97 +00:11:00,910 --> 00:11:11,160 +والمكان والموضوع، لذلك قال: إذا كنت موثرا وحين تعسروه + +98 +00:11:11,160 --> 00:11:17,720 +يعني في حالتي اليسري والعسري، هذا الإنفاق الجميل + +99 +00:11:17,720 --> 00:11:22,720 +ولذلك قال الله تعالى: لن تنالوا البررة حتى تنفقوا + +100 +00:11:22,720 --> 00:11:29,860 +مما تحبون، فالمحبة هي علامة الإنفاق الجميل، لأن + +101 +00:11:29,860 --> 00:11:36,580 +الإنفاق الجميل يكون فيه إرادة صادقة والشيء الثاني + +102 +00:11:36,580 --> 00:11:42,600 +أن يكون مستغرقا للزمان والمكان والموضوع بمعنى أن + +103 +00:11:42,600 --> 00:11:48,190 +ينفق في كل أحواله في الزمان، في الماضي والحاضر + +104 +00:11:48,190 --> 00:11:53,650 +والمستقبل، في المكان، شرقا وغربا، شمالا + +105 +00:11:53,650 --> 00:11:57,870 +وجنوبا، غورا ونجدة، يستغرق المكان ويستغرق + +106 +00:11:57,870 --> 00:12:04,720 +الموضوع في جميع أحواله في اليسري والعسري، بذلك يكون + +107 +00:12:04,720 --> 00:12:11,060 +الإنفاق جميلا، فلا الجود يفن المال والجد مقبل يعني + +108 +00:12:11,060 --> 00:12:17,540 +الجود لا يفن المال مادام أن هذا الخير وهذا الحظ + +109 +00:12:17,540 --> 00:12:24,340 +الجميل المتتابع فإنه فإن الجود لا يفن المال لأنه + +110 +00:12:24,340 --> 00:12:31,270 +متتابع فما يفنيه يأتي غيره، ولا البخل يبقي المال + +111 +00:12:31,270 --> 00:12:37,370 +والجد مدبره وكذلك البخل لا يبقى المال إذا كان الحظ + +112 +00:12:37,370 --> 00:12:45,050 +مدبراه، إذا الموقف الجميل أن ينفق الإنسان في هتين + +113 +00:12:45,050 --> 00:12:51,270 +الحالتين، أما الثقافة اليونانية فكانت أبعد أثرا + +114 +00:12:51,270 --> 00:12:59,330 +وأعمق غورا بما فتحته من أبواب الفكر الفلسفي وأبواب + +115 +00:12:59,330 --> 00:13:05,130 +المنطق ومقاييسه وأدواته، وقد رأينا تأثير ذلك في + +116 +00:13:05,130 --> 00:13:13,550 +العقل العباسي حيث كان عقلا جدليا متفلسفا أيضا، أخذت + +117 +00:13:13,550 --> 00:13:21,140 +من الثقافة اليونانية بعض أقوال ومأثورات أو ما قيل + +118 +00:13:21,140 --> 00:13:27,320 +حول الاسكندر المقدوني عند وفاته، فقد نقل أبو + +119 +00:13:27,320 --> 00:13:35,290 +العتاهي أطرافا إلى مرافيه في صديقه علي بن ثابت، فمما + +120 +00:13:35,290 --> 00:13:43,250 +أخذه قولهم: سكنت حركة الملك في لذاته وحركنا اليوم + +121 +00:13:43,250 --> 00:13:51,530 +في سكونه جزعا لفقده، فالملك عندما كان حيا وعندما + +122 +00:13:51,530 --> 00:14:00,390 +ممارس لذاته، ممارس لذاته كانت الحياة ساكنة فلا أحد + +123 +00:14:00,390 --> 00:14:08,380 +يتحرك، وذلك لكي يرتاح الملك ويستمتع بحياته، لكن عندما + +124 +00:14:08,380 --> 00:14:18,520 +سكن هو ومات بدأت حركة الملك تتحرك فقدا وجزعا لهذا + +125 +00:14:18,520 --> 00:14:25,560 +الملك، فأخذ أبو العتاهي ذلك فقال: يا علي بن ثابت دان + +126 +00:14:25,560 --> 00:14:33,160 +مني صاحب جل فقده يوم بنت قد لعمري حكيت لي غصص + +127 +00:14:33,160 --> 00:14:41,780 +الموت وحركتني لها وسكنت، وطبعا البيت الأول فيه + +128 +00:14:41,780 --> 00:14:48,950 +التفات حيث ينتقل من الخطاب إلى الغيبة، يا علي بن + +129 +00:14:48,950 --> 00:14:59,230 +ثابت دان مني يعني فرقني صاحب عزيز على نفسي عظيم + +130 +00:14:59,230 --> 00:15:06,270 +فقده، ويقصد بذلك صاحبه علي بن ثابت، يوم بنته يعني + +131 +00:15:06,270 --> 00:15:12,730 +يوم فرقتني أو يوم فرقتني وهو يوم الموت + +132 +00:15:14,660 --> 00:15:23,180 +قبل عمري حكيت له غصص الموت، كنت تحدثني عن عن غصص + +133 +00:15:23,180 --> 00:15:31,840 +الموت وعن آلامه وحكاياته، وحرقتني لها ولكنك + +134 +00:15:31,840 --> 00:15:40,670 +اليوم سكنت يعني أصبحت جزء من تجربة الموت، وقال + +135 +00:15:40,670 --> 00:15:47,330 +فيلسوف آخر: الاسكندر كان أمس أنطق منه اليوم وهو + +136 +00:15:47,330 --> 00:15:55,470 +اليوم أوعظ منه أمس، فتمثله أبو العتاهية بقوله: فكيتك + +137 +00:15:55,470 --> 00:16:02,820 +يا علي بدمع عيني فما أغنى البكاء عليك شيء، كفى حزنا + +138 +00:16:02,820 --> 00:16:10,140 +بدفنك، ثم أني نفضت تراب قبرك عن يديا، وكانت في حياتك + +139 +00:16:10,140 --> 00:16:19,740 +لي عظات وأنت اليوم أوعظ منك حيا، وطبعا هنا نلاحظ + +140 +00:16:19,740 --> 00:16:25,520 +الأسلوب البسيط لأبي العتاهية ولكنه عميق في تجربته + +141 +00:16:26,170 --> 00:16:32,050 +والأسلوب الجيد الرائع هو الذي يرتبط بتجربة صادقة + +142 +00:16:32,050 --> 00:16:38,530 +حتى ولو كان هذا الأسلوب بسيطا، إذا ارتبط بتجربة + +143 +00:16:38,530 --> 00:16:46,810 +صادقة حقيقية فيصبح هذا الأسلوب جميلا ورائعا حتى + +144 +00:16:46,810 --> 00:16:52,470 +ولو لم يكن فيه تشبيه ولا استعارة ولا أي نشاط فني + +145 +00:16:52,470 --> 00:16:59,550 +كما رأينا هنا في هذا البيت: بكيتك يا علي بدمع عيني + +146 +00:16:59,550 --> 00:17:06,860 +فما أغنى البكاء عليك شيء، كفى حزنا يعني لقد بلغ + +147 +00:17:06,860 --> 00:17:16,460 +الحزن مبلغا عظيما بحيث لا حزن بعده أن أنا دفنتك و + +148 +00:17:16,460 --> 00:17:21,620 +فقدتك، هذا أمر، والشيء الثاني أن أنا نفضت تراب قبرك + +149 +00:17:21,620 --> 00:17:28,380 +عن يديه، طبعا يريد أن يعمق الفقد والخسارة أنه يعني + +150 +00:17:28,380 --> 00:17:38,050 +نفض تراب قبره عن يديه، وكانت في حياتك له عظات كثيرة + +151 +00:17:38,050 --> 00:17:47,690 +كنت توعظني وتذكرني بالموت لكنك اليوم أوعظ منك حيا، + +152 +00:17:47,690 --> 00:17:54,710 +لماذا؟ لأنك أصبحت جزء من التجربة، في السابق كنت + +153 +00:17:54,710 --> 00:18:03,770 +تحدثني عن الموت، أما الآن فأنت جزء من التجربة، وطبعا + +154 +00:18:03,770 --> 00:18:10,250 +التعبير بجزء من التجربة أبلغ من التعبير عن التجربة + +155 +00:18:10,250 --> 00:18:15,470 +التعبير بجزء من التجربة أبلغ من التعبير عن التجربة + +156 +00:18:15,470 --> 00:18:25,090 +ولذلك قال النبي ﷺ: كفى بالموت واعظة، لأن تجربة الموت + +157 +00:18:25,090 --> 00:18:31,130 +تجربة الموت نفسها أعظم أثرا من الحديث عن الموت + +158 +00:18:33,650 --> 00:18:41,410 +أيضا أخذت بعض أقوال المسيح عليه السلام في الشعر + +159 +00:18:41,410 --> 00:18:47,950 +العباسي في هذه الفترة، ورأينا محمود الورّاق يأخذ + +160 +00:18:47,950 --> 00:18:55,380 +مقولة للمسيح عليه السلام حين عيره قومه بالفقر فقال + +161 +00:18:55,380 --> 00:19:01,740 +المسيح عليه السلام: من الغنى أوتيتم، من الغنى أوتيتم + +162 +00:19:01,740 --> 00:19:10,240 +يعني من الغنى كان هلاككم يعني أن الغنى طريق للهلاك + +163 +00:19:11,750 --> 00:19:17,710 +أخذه الورّاق فقال: يا عائب الفقر ألا تزدجر، عيب + +164 +00:19:17,710 --> 00:19:23,730 +الغنى أكثر لو تعتبر، من شرف الفقر ومن فضله على + +165 +00:19:23,730 --> 00:19:31,110 +الغنى إن صح منك النظر أنك تعصي كي تنال الغنى وليس + +166 +00:19:31,110 --> 00:19:38,740 +تعصي الله كي تفتقري، يا عائب الفقر هنا استخدم صيغة + +167 +00:19:38,740 --> 00:1 \ No newline at end of file diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/eRs_xZpeYjM_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/eRs_xZpeYjM_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..5a02fa487bf5784397a804a6b0daa31d40d2eca9 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/eRs_xZpeYjM_postprocess.srt @@ -0,0 +1,780 @@ +1 +00:00:04,890 --> 00:00:08,050 +بالله الرحمن الرحيم وصلي وسلم على نبينا محمد وعلى + +2 +00:00:08,050 --> 00:00:12,610 +آله وصحبه وسلم تسليم الكثير وبعد موضوع هذه + +3 +00:00:12,610 --> 00:00:16,990 +المحاضرة إن شاء الله تأثير الثقافات الأجنبية في + +4 +00:00:16,990 --> 00:00:23,230 +الشعر العباسي وقلنا فيما سبق أن أهم هذه الثقافات + +5 +00:00:23,230 --> 00:00:28,650 +هي الثقافة الهندية والثقافة الفارسية والثقافة + +6 +00:00:28,650 --> 00:00:37,350 +اليونانية وقد لاحظ الأدباءورواية الشعر العربي أن + +7 +00:00:37,350 --> 00:00:43,350 +الشعراء في هذا العصر قد تأثروا بهذه الثقافات ولاحظ + +8 +00:00:43,350 --> 00:00:48,770 +ابن قتيبة أن ابا نواز كان يتأثر في بعض أشعاره + +9 +00:00:48,770 --> 00:00:57,110 +بالثقافة الهنديةفمثل ذلك قوله في الخمر تخيرت + +10 +00:00:57,110 --> 00:01:04,170 +والنجوم وقف لم يتمكن بها المداره وأراد أبو نواس أن + +11 +00:01:04,170 --> 00:01:11,430 +يؤصل لشرب الخمر فيقول إن شرب الخمر صفة أصيلة وقيمة + +12 +00:01:11,430 --> 00:01:19,670 +أصيلة استعملت من قديم الزمان وأخذ في التعبيرلتعبير + +13 +00:01:19,670 --> 00:01:25,810 +عن هذه الأصالة من الثقافة الهندية إذ تزعم الهند أن + +14 +00:01:25,810 --> 00:01:31,110 +الله حين خلق الفلك وأصحاب + +15 +00:01:31,110 --> 00:01:36,610 +الحساب يذكرون أن الله حين خلق النجوم جعلها مجتمعة + +16 +00:01:36,610 --> 00:01:44,400 +واقفةفي برج ثم سيرها من هناك وأنها لا تزال جارية + +17 +00:01:44,400 --> 00:01:51,700 +حتى تجتمع في ذلك البرج فإذا رجعت إلى حيث اجتمعت + +18 +00:01:51,700 --> 00:01:59,720 +سابقا قامت القيامة وبطل العالم وأخذ أبو نواس أيضا + +19 +00:02:00,720 --> 00:02:08,900 +من الثقافة الهندية قوله يهجو شخصا مغنيا قل لزهير + +20 +00:02:08,900 --> 00:02:16,520 +ان اذا حدا رشدا اقلل او اكثر فانت مهذار سخنت من + +21 +00:02:16,520 --> 00:02:22,240 +شدة البرودة حتى صرت عندى كأنك النار لا يعجب + +22 +00:02:22,240 --> 00:02:31,370 +السامعون من صفتي كذاك كذلك الثلج بارد حاروعلق ابن + +23 +00:02:31,370 --> 00:02:37,510 +قتيبة على ذلك بقوله هذا الشعر يدل على نظر أبي نواس + +24 +00:02:37,510 --> 00:02:44,010 +في علم الطباعة لأن الهند تزعم أن الشيء إذا أفرط في + +25 +00:02:44,010 --> 00:02:55,170 +البرد عاد حارا مؤذياووجدت في بعضهم طبعًا أبو نواس + +26 +00:02:55,170 --> 00:03:04,570 +قد أخذ من الثقافة الهندية ما يهجو به زهير أحد + +27 +00:03:04,570 --> 00:03:12,690 +المغنين وأراد أن يهجوه بقلة الحياء أنه قليل الحياء + +28 +00:03:14,260 --> 00:03:18,580 +وبدل أن يستعمل الأسلوب المباشر أو حتى التشبيه + +29 +00:03:18,580 --> 00:03:25,420 +والاستعارة أخذ من الثقافة الهندية ما هو بديل عن + +30 +00:03:25,420 --> 00:03:31,240 +ذلك أخذ هذه الصورة سخنت من شدة البرودة حتى صرت + +31 +00:03:31,240 --> 00:03:37,460 +عندي كأنك النار لا يعجب الذى سامعون من صفتي كذلك + +32 +00:03:37,460 --> 00:03:41,880 +استثال جبالي منحاره قل لزهيرين طبعا هنا استعمل + +33 +00:03:41,880 --> 00:03:50,010 +مهارات أسلوبيةحيث استدعى طرفا ثالثا للخطاب فقال قل + +34 +00:03:50,010 --> 00:03:57,540 +لزهيرا و أراد بذلك تحقيرا لزهيراأقل أو أكثر فانت + +35 +00:03:57,540 --> 00:04:02,300 +مهذار يعني أنت مضيع للقيم والأخلاق حيث لا توجد + +36 +00:04:02,300 --> 00:04:07,940 +لديك قاعدة أخلاقية التي هي الحياء فانت قليل الحياء + +37 +00:04:07,940 --> 00:04:13,020 +أو عديم الحياء تفتقد إلى هذه القاعدة لأن الحياة + +38 +00:04:13,020 --> 00:04:21,090 +قاعدة أخلاقية مانعةمن الأخلاق السيئة الحياء قاعدة + +39 +00:04:21,090 --> 00:04:27,590 +أخلاقية تمنع الإنسان من أن يفعل القبيح من الأخلاق + +40 +00:04:27,590 --> 00:04:34,110 +أيه هي قاعدة؟ قاعدة التخلية قاعدة التخلية يعني + +41 +00:04:34,110 --> 00:04:43,550 +تطالب الإنسان بأن يقلو من الأخلاق السيئة فقال له + +42 +00:04:43,550 --> 00:04:50,110 +أنتبدأ أن يقول له أنت قليل حياء قال سخنت من شدة + +43 +00:04:50,110 --> 00:04:55,790 +البرودة حتى صرت عندك أنك النار لا يعجب السامعون من + +44 +00:04:55,790 --> 00:05:01,010 +صفتي أقام الإسم مقام الوصف فقال صفتي وليس وصفي + +45 +00:05:01,010 --> 00:05:07,830 +وذلك تعميقا لهذه الصفة وتثبيتا لأن الإسم أثبت من + +46 +00:05:07,830 --> 00:05:15,000 +الوصفكذلك الثلج بالي انحاره لأن هذا رأي رأي أبي + +47 +00:05:15,000 --> 00:05:20,920 +نواز أخذه من الثقافة الهندية فأراد أن يعمق هذا + +48 +00:05:20,920 --> 00:05:32,150 +الوصف فاستعمل الاسم اللي هو صفة بدل الوصفأيضًا ذكر + +49 +00:05:32,150 --> 00:05:39,310 +ابن قتيبة أن الكتابة كليلة ودمنة اللي ترجمه ال + +50 +00:05:39,310 --> 00:05:46,790 +force عن الهند كان مصدراً من مصادر الشعراء في هذا + +51 +00:05:46,790 --> 00:05:54,930 +العصر اعتمدوا عليه في الأخذ بالثقافة الهندية وذكر + +52 +00:05:54,930 --> 00:06:05,510 +أيضًاابن عبد ربه أمثلة ومأثورات من الثقافة الهندية + +53 +00:06:05,510 --> 00:06:13,010 +التي أخذها الشعراء مثل قوله إن الحازم يكره القتال + +54 +00:06:13,010 --> 00:06:19,630 +ما وجد بدًا منه لأن النفقة فيه من النفس والنفقة في + +55 +00:06:19,630 --> 00:06:25,800 +غيره من المالأن النفقة فيهم من النفس والنفقة في + +56 +00:06:25,800 --> 00:06:31,580 +غيره من المال وقد أخذ أبو تمام أو نقل هذا المعنى + +57 +00:06:31,580 --> 00:06:38,440 +إلى شعره فقال كان بين قوم إنما نفقاتهم مال وقوم + +58 +00:06:38,440 --> 00:06:46,280 +ينفقون نفوسايعني هناك فرق كبير بين من ينفق النفس + +59 +00:06:46,280 --> 00:06:52,160 +ومن ينفق المال فرق شاسة لأن التضحية بالنفس هي أعلى + +60 +00:06:52,160 --> 00:06:56,120 +شيء والمال + +61 +00:06:56,120 --> 00:07:04,620 +أقل منه أيضًا وجدنا تأثيرًا للثقافة الفارسية أيضًا + +62 +00:07:04,620 --> 00:07:09,620 +في الشعر العربي في هذه الفترةوالثقافة الفلسفية + +63 +00:07:09,620 --> 00:07:14,940 +أمدت الشعراء بكثير من الحكم والوصاية في الصداقة + +64 +00:07:14,940 --> 00:07:21,700 +والمشهورة والأداب في السلوك والسياسة فمثلا يقول + +65 +00:07:21,700 --> 00:07:28,560 +بشار في إحدى مدائحه إذا بلغ الرأي المشهورة فاستعن + +66 +00:07:28,560 --> 00:07:36,390 +برأي نصيح أو نصيحة حازمهيعني إذا بلغ الرأي يعني + +67 +00:07:36,390 --> 00:07:41,750 +إذا احتاج الرأي إلى المشهورة والرأي طبعا يكون + +68 +00:07:41,750 --> 00:07:49,810 +ضعيفا يحتاج إلى مشهورات أخرى لتقويه وتعززه فإذا + +69 +00:07:49,810 --> 00:07:55,050 +أردت المشهورة فلتكن من إثنين الرأي النصيح من إنسان + +70 +00:07:55,050 --> 00:08:01,950 +نصيح والنصيح هو الإنسان الصادق في نصهفلا يكون + +71 +00:08:01,950 --> 00:08:08,950 +نصيحا إلا إذا كان صادقا في نصحه فالنصيح تحتاج إلى + +72 +00:08:08,950 --> 00:08:18,950 +الصدق وكلمة نصيح فعيل يعني صادق في نصحهفالكريم لا + +73 +00:08:18,950 --> 00:08:24,150 +يكون كريما إلا إذا كان صادقا في كرمه والعفيف لا + +74 +00:08:24,150 --> 00:08:30,630 +يكون عفيفا إلا إذا كان صادقا في عفته والتقي لا + +75 +00:08:30,630 --> 00:08:37,250 +يكون تقيا إلا إذا كان صادقا في تقواه ولذلك فالصدق + +76 +00:08:37,250 --> 00:08:43,850 +هو الذي يشكل نموذج ويشكل القيمة الأخلاقيةولذلك + +77 +00:08:43,850 --> 00:08:48,870 +النصيح هو الإنسان الصادق في نصهي، فالنصيحة تحتاج + +78 +00:08:48,870 --> 00:08:56,170 +إلى الصدق، إلى صدق الناصح أو نصيحتي حازمي، والحازم + +79 +00:08:56,170 --> 00:09:03,290 +هو الذي يجمع بين الشجاعة والحكمةالشجاعة والحكمة + +80 +00:09:03,290 --> 00:09:10,670 +فالنصيحة تحتاج أيضًا إلى الحكمة والحكمة هي فضية + +81 +00:09:10,670 --> 00:09:14,450 +العقل وتحتاج + +82 +00:09:14,450 --> 00:09:22,630 +إلى الشجاعة إلى الجرعة إذا نجد أن بشارًا يضع ضوابط + +83 +00:09:24,080 --> 00:09:28,260 +من السياسة + +84 +00:09:28,260 --> 00:09:34,700 +والسلوك لتبطي النصيحة أن تكون نابعة من صدق وأن + +85 +00:09:34,700 --> 00:09:43,190 +يكون فيها جرعة وأن يكون فيها حكمةإذا بلغ الرأي + +86 +00:09:43,190 --> 00:09:50,050 +المشهورة فاستعن برأي نصيح أو نصيحة حازنة كذلك نقلت + +87 +00:09:50,050 --> 00:09:56,690 +بعض الأقوال والحكم والأمثال لأدباء وحكماء الفرسمن + +88 +00:09:56,690 --> 00:10:02,650 +ذلك قولهم إذا أقبلت عليك الدنيا فأنفق فإنها لا + +89 +00:10:02,650 --> 00:10:10,030 +تفنى وإذا أدبرت عنك فأنفق فإنها لا تبقى أخذ هذا + +90 +00:10:10,030 --> 00:10:17,610 +المعنى أحد شعرائهالدولة العبسية فقال فأنفق إذا + +91 +00:10:17,610 --> 00:10:24,330 +أنفقت إن كنت موثرا وأنفق على ما خيلت حين تعسره فلا + +92 +00:10:24,330 --> 00:10:30,250 +الجود يفني المال والجد مقبل ولا البخل يبقي المال + +93 +00:10:30,250 --> 00:10:38,330 +والجد مدبر فأنفق إذا أنفقت يعني فأنفق بسخاء إذا + +94 +00:10:38,330 --> 00:10:46,190 +أردت الإنفاقفي حالتي اليسري والعسل وهذا هو الإنفاق + +95 +00:10:46,190 --> 00:10:52,790 +الجميل الإنفاق الجميل هو الذي هو الذي ينبع من + +96 +00:10:52,790 --> 00:11:00,910 +إرادة صادقة الشيء الثاني أن يكون مستخرقا للزمان + +97 +00:11:00,910 --> 00:11:11,160 +والمكان والموضوعلذلك قال إذا كنت موثرا وحين تعسروه + +98 +00:11:11,160 --> 00:11:17,720 +يعني في حالتي اليسري و العسري هذا الإنفاق الجميل + +99 +00:11:17,720 --> 00:11:22,720 +ولذلك قال الله تعالى لن تنالوا البررة حتى تنفقوا + +100 +00:11:22,720 --> 00:11:29,860 +مما تحبون فالمحبة هي علامة الإنفاق الجميللأن + +101 +00:11:29,860 --> 00:11:36,580 +الإنفاق الجميل يكون فيه إرادة صادقة والشيء التاني + +102 +00:11:36,580 --> 00:11:42,600 +أن يكون مستغرقًا للزمان والمكان والموضوع بمعنى أن + +103 +00:11:42,600 --> 00:11:48,190 +يُنفِق في كل أحوالهفي الزمان، في الماضي والحاضر + +104 +00:11:48,190 --> 00:11:53,650 +والمستقبل، في المكان، شرقًا وغربًا، شمالًا + +105 +00:11:53,650 --> 00:11:57,870 +وجنوبًا، غورًا ونجدة، يستغرق المكان ويستغرق + +106 +00:11:57,870 --> 00:12:04,720 +الموضوع في جميع أحواله في اليسري والعسريبذلك يكون + +107 +00:12:04,720 --> 00:12:11,060 +الإنفاق جميلًا فلا الجود يفن المال والجد مقبل يعني + +108 +00:12:11,060 --> 00:12:17,540 +الجود لا يفن المال مادام أن هذا الخير وهذا الحظ + +109 +00:12:17,540 --> 00:12:24,340 +الجميل المتتابع فإنه فإن الجود لا يفن المال لأنه + +110 +00:12:24,340 --> 00:12:31,270 +متتابع فما يفنيه يأتي غيرهولا البخل يبقى المال + +111 +00:12:31,270 --> 00:12:37,370 +والجد مدبره وكذلك البخل لا يبقى المال إذا كان الحظ + +112 +00:12:37,370 --> 00:12:45,050 +مدبراه إذا الموقف الجميل أن ينفق الإنسان في هتين + +113 +00:12:45,050 --> 00:12:51,270 +الحالتين أما الثقافة اليونانية فكانت أبعد أثرا + +114 +00:12:51,270 --> 00:12:59,330 +وأعمق غورا بمافتحته من أبواب الفكر الفلسفي وأبواب + +115 +00:12:59,330 --> 00:13:05,130 +المنطق ومقاييسه وأدواته وقد رأينا تأثير ذلك في + +116 +00:13:05,130 --> 00:13:13,550 +العقل العباسي حيث كان عقلا جدلا متفلسفا أيضا أخذت + +117 +00:13:13,550 --> 00:13:21,140 +من الثقافة اليونانيةبعض أقوال ومأثرات أو ما قيلة + +118 +00:13:21,140 --> 00:13:27,320 +حول الاسكندر المقدوني عند وفاته فقد نقل أبو + +119 +00:13:27,320 --> 00:13:35,290 +العتاهي أطرافا إلى مرافيه في صديقه علي بن ثابتفمما + +120 +00:13:35,290 --> 00:13:43,250 +أخذه قولهم سكنت حركة الملك في لذاته وحركنا اليوم + +121 +00:13:43,250 --> 00:13:51,530 +في سكونه جزعا لفقده فالملك عندما كان حيا وعندما + +122 +00:13:51,530 --> 00:14:00,390 +ممارس لذاته ممارس لذاته كانت الحياة ساكنة فلا أحد + +123 +00:14:00,390 --> 00:14:08,380 +يتحركوذلك لكي يرتاح الملك ويستمتع بحياته لكن عندما + +124 +00:14:08,380 --> 00:14:18,520 +سكن هو ومات بدأت حركة الملك تتحرك فقدا وجزعا لهذا + +125 +00:14:18,520 --> 00:14:25,560 +الملكفأخذ أبو العتاه ذلك فقال يا علي بن ثابت دان + +126 +00:14:25,560 --> 00:14:33,160 +مني صاحب جل فقده يوم بنت قد لعمري حكيت لي غصص + +127 +00:14:33,160 --> 00:14:41,780 +الموت وحركتني لها وسكنت وطبعا البيت الأول فيه + +128 +00:14:41,780 --> 00:14:48,950 +التفات حيث ينتقل من الخطاب إلى الغيبةيا علي ابن + +129 +00:14:48,950 --> 00:14:59,230 +ثابت بان مني يعني فرقني صاحب عزيز على نفسي عظيم + +130 +00:14:59,230 --> 00:15:06,270 +فقده ويقصد بذلك صاحبه علي ابن ثابت يوم بنته يعني + +131 +00:15:06,270 --> 00:15:12,730 +يوم فرقتني أو يوم فرقتني وهو يوم الموت + +132 +00:15:14,660 --> 00:15:23,180 +قبل عمري حكيت ليه غصص الموت كنت تحدثني عن عن غصص + +133 +00:15:23,180 --> 00:15:31,840 +الموت و عن آلامه و حكاياته و حرقتني لها ولكنك + +134 +00:15:31,840 --> 00:15:40,670 +اليوم سكنت يعني أصبحت جزء من تجربة الموتوقال + +135 +00:15:40,670 --> 00:15:47,330 +فيلسوف آخر الاسكندر كان أمس أنطق منه اليوم وهو + +136 +00:15:47,330 --> 00:15:55,470 +اليوم أوعظ منه أمس فتمثله أبو العتاهية بقوله فكيتك + +137 +00:15:55,470 --> 00:16:02,820 +يا عليبدمع عيني فما أغنى البكاء عليك شيء كفى حذنا + +138 +00:16:02,820 --> 00:16:10,140 +بدفنك ثم أني نفطت تراب قبلك عن يديا وكانت في حياتك + +139 +00:16:10,140 --> 00:16:19,740 +لي عذات وانت اليوم أوعظ منك حيا وطبعا هنا نلاحظ + +140 +00:16:19,740 --> 00:16:25,520 +الأسلوب البسيط لأبي العتاهية ولكنه عميق في تجربته + +141 +00:16:26,170 --> 00:16:32,050 +والأسلوب الجيد الرائع هو الذي يرتبط بتجربة صادقة + +142 +00:16:32,050 --> 00:16:38,530 +حتى و لو كان هذا الأسلوب بسيطاإذا ارتبط بتجربة + +143 +00:16:38,530 --> 00:16:46,810 +صادقة حقيقية فيصبح هذا الأسلوب جميلًا ورائعًا حتى + +144 +00:16:46,810 --> 00:16:52,470 +و لو لم يكن فيه تشبيه ولا استعارة ولا أي نشاط فني + +145 +00:16:52,470 --> 00:16:59,550 +كما رأينا هنا في هذا البيت بكيتك يا علي بدمع عيني + +146 +00:16:59,550 --> 00:17:06,860 +فما أغنى البكاء عليك شيءكفى حزنا يعني لقد بلغ + +147 +00:17:06,860 --> 00:17:16,460 +الحزن مبلغا عظيما بحيث لا حزن بعده أن أنا دفنتك و + +148 +00:17:16,460 --> 00:17:21,620 +فقدتك هذا أمر والشيء الثاني أن أنا نفضت تراب قبرك + +149 +00:17:21,620 --> 00:17:28,380 +عن يديه طبعا يريد أن يعمق الفقد و الخسارة أنه يعني + +150 +00:17:28,380 --> 00:17:38,050 +نفض تراب قبره عن يديهوكانت في حياتك ليه عذات كثيرة + +151 +00:17:38,050 --> 00:17:47,690 +كنت توعظني وتذكرني بالموت لكنك اليوم أوعظ منك حية + +152 +00:17:47,690 --> 00:17:54,710 +لماذا؟ لأنك أصبحت جزء من التجربة في السابق كنت + +153 +00:17:54,710 --> 00:18:03,770 +تحدثني عن الموت أما الآن فأنت جزء من التجربةوطبعًا + +154 +00:18:03,770 --> 00:18:10,250 +التعبير بجزء من التجربة أبلغ من التعبير عن التجربة + +155 +00:18:10,250 --> 00:18:15,470 +التعبير بجزء من التجربة أبلغ من التعبير عن التجربة + +156 +00:18:15,470 --> 00:18:25,090 +ولذلك قال النبي ﷺ كفى بالموت واعظة لأن تجربة الموت + +157 +00:18:25,090 --> 00:18:31,130 +تجربة الموت نفسها أعظم أثرًا من الحديث عن الموت + +158 +00:18:33,650 --> 00:18:41,410 +أيضًا أُخُذت بعض أقوال المسيح عليه السلام في الشعر + +159 +00:18:41,410 --> 00:18:47,950 +العباسي في هذه الفترة ورأينا محمود الورّاق يأخذ + +160 +00:18:47,950 --> 00:18:55,380 +مقولة للمسيح عليه السلام حين عيره قومه بالفقرفقال + +161 +00:18:55,380 --> 00:19:01,740 +المسيح عليه السلام من الغنى أوتيتم من الغنى أوتيتم + +162 +00:19:01,740 --> 00:19:10,240 +يعني من الغنى كان هلاككم يعني أن الغنى طريق للهلاك + +163 +00:19:11,750 --> 00:19:17,710 +أخذه الورّاق فقال يا عائب الفقر ألا تزدجر عيب + +164 +00:19:17,710 --> 00:19:23,730 +الغنى أكثر لو تعتبر من شرف الفقر ومن فضله على + +165 +00:19:23,730 --> 00:19:31,110 +الغنى إن صح منك النظر أنك تعصي كي تنال الغنى وليس + +166 +00:19:31,110 --> 00:19:38,740 +تعصي الله كي تفتقريا عائب الفقر هنا استخدم صيغة + +167 +00:19:38,740 --> 00:19:44,400 +اسم الفاعل ولم يستخدم الفعل يا من تعيب الفقر انما + +168 +00:19:44,400 --> 00:19:51,030 +قال يا عائب واسم الفاعل أثبت من الفعللأن الفعل + +169 +00:19:51,030 --> 00:19:57,230 +متحيز في الزمن أما اسم الفاعل فهو متحيز في الذات + +170 +00:19:57,230 --> 00:20:03,650 +فلذلك اسم الفاعل أثبت من الفعل فقال يا عائب الفقر + +171 +00:20:03,650 --> 00:20:14,140 +ألا تزجر ألا تمتنع ألا تكف عن استعابتك للفقرلأن + +172 +00:20:14,140 --> 00:20:20,480 +عيب الغنى أكثر لو استعملت التفكير الارتقائي لو + +173 +00:20:20,480 --> 00:20:23,900 +استعملت التفكير المتواصل + +174 +00:20:25,010 --> 00:20:30,730 +اللي هو الاعتبار وهو يفترق عن إيه التفكير لأن + +175 +00:20:30,730 --> 00:20:38,030 +الاعتبار هو التفكير التأملي الذي ينقل الإنسان إلى + +176 +00:20:38,030 --> 00:20:42,610 +المبادئ والقيم العليا وليس إلى الأفكار والنظريات + +177 +00:20:42,610 --> 00:20:48,110 +ووجهات النظر كالتفكير لأن الاعتبار هو أرقى أنواع + +178 +00:20:48,110 --> 00:20:56,440 +التفكير لأنه يصل بالإنسان إلى القيم والمبادئلو + +179 +00:20:56,440 --> 00:21:02,800 +تعتبر من شرف الفقر منفضله يعني من فضائل الفقر + +180 +00:21:02,800 --> 00:21:09,880 +وشرفه على الغنى إن صح منك التفكير والمقارنة + +181 +00:21:09,880 --> 00:21:18,440 +السليمة أنك في حالة الغنىتركبوا إليه المعاصي لتحقق + +182 +00:21:18,440 --> 00:21:29,260 +الغنى مثل الكذب والظلم والاحتيال وغير ذلك أما في + +183 +00:21:29,260 --> 00:21:36,240 +الفقري فانت تظل دائم الاتصال بالله سبحانه وتعالى + +184 +00:21:36,240 --> 00:21:41,070 +تذكر الله كثيرًاوتدعو الله سبحانه وتعالى أن يدفع + +185 +00:21:41,070 --> 00:21:49,630 +عنك الفقر، وهذا طريق للإيمان، فالفقر له فضيلة أنه + +186 +00:21:49,630 --> 00:21:59,440 +يذكرك ويديم اتصالك بالله سبحانه وتعالىأنك تعصي كي + +187 +00:21:59,440 --> 00:22:05,740 +تنال الغنى وليس تعصي الله كي تفتقر طبعا هذه + +188 +00:22:05,740 --> 00:22:12,620 +النماذج تدل على أن الشعر العربي في هذه الفترة اللي + +189 +00:22:12,620 --> 00:22:17,320 +هو الشعر العباسي قد تأثر تأثرا كبيرا بالثقافات + +190 +00:22:17,320 --> 00:22:23,250 +الأجنبية فهذه الثقافات مادة الشعر العربيبكثير من + +191 +00:22:23,250 --> 00:22:28,410 +الوسائل التعبدية التي عمقت وجملت المعنى الشعري + +192 +00:22:28,410 --> 00:22:31,510 +وهذا + +193 +00:22:31,510 --> 00:22:39,330 +يعني غيض من 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استعملت التفكير الارتقائي لو استعملت التفكير المتواصل", "tokens": [1211, 33456, 6225, 1829, 3555, 6024, 118, 1863, 7578, 5551, 4117, 49115, 45164, 44713, 25957, 1211, 2655, 16712, 5172, 4117, 13546, 2423, 9640, 2655, 4587, 16373, 1829, 45164, 44713, 25957, 1211, 2655, 16712, 5172, 4117, 13546, 9673, 2655, 2407, 33546, 1211], "avg_logprob": -0.06515066751411983, "compression_ratio": 1.6162790697674418, "no_speech_prob": 0.0, "words": [{"start": 1213.7, "end": 1214.14, "word": "لأن", "probability": 0.811279296875}, {"start": 1214.14, "end": 1214.62, "word": " عيب", "probability": 0.9287109375}, {"start": 1214.62, "end": 1215.2, "word": " الغنى", "probability": 0.936279296875}, {"start": 1215.2, "end": 1215.98, "word": " أكثر", "probability": 0.9313151041666666}, {"start": 1215.98, "end": 1216.86, "word": " لو", "probability": 0.921875}, {"start": 1216.86, "end": 1217.58, "word": " استعملت", "probability": 0.962890625}, {"start": 1217.58, "end": 1218.24, "word": " التفكير", "probability": 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الإنسان", "probability": 0.992919921875}, {"start": 1236.97, "end": 1238.03, "word": " إلى", "probability": 0.9775390625}, {"start": 1238.03, "end": 1238.95, "word": " المبادئ", "probability": 0.9730224609375}, {"start": 1238.95, "end": 1239.95, "word": " والقيم", "probability": 0.7727864583333334}, {"start": 1239.95, "end": 1240.47, "word": " العليا", "probability": 0.9305013020833334}, {"start": 1240.47, "end": 1240.89, "word": " وليس", "probability": 0.9716796875}, {"start": 1240.89, "end": 1241.09, "word": " إلى", "probability": 0.95703125}, {"start": 1241.09, "end": 1241.67, "word": " الأفكار", "probability": 0.99365234375}, {"start": 1241.67, "end": 1242.61, "word": " والنظريات", "probability": 0.9572265625}, {"start": 1242.61, "end": 1243.15, "word": " ووجهات", "probability": 0.9793701171875}, {"start": 1243.15, "end": 1243.55, "word": " النظر", "probability": 0.9947916666666666}, {"start": 1243.55, "end": 1244.43, "word": " كالتفكير", "probability": 0.983154296875}, {"start": 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والموضوعية وأهم + +7 +00:00:44,580 --> 00:00:53,040 +الأعلام في الشعر والنثر موضوع المحاضر اليوم هو كما + +8 +00:00:53,040 --> 00:00:59,940 +نرى هو مفهوم الأدب العباسي بالنسبة للعصر العباسي + +9 +00:00:59,940 --> 00:01:07,980 +يبدأ من 132 وينتهي سنة 56 و600 للهجرة وهذه فترة + +10 +00:01:07,980 --> 00:01:12,740 +طويلة قسمنا هذه الفترة إلى قسمين أو إلى جزئين + +11 +00:01:12,740 --> 00:01:20,280 +الجزء الأول يبدأ من 132 إلى 334 للهجرة هذا الجزء أو + +12 +00:01:20,280 --> 00:01:25,800 +هذه الفترة تحتضن عصرين من عصور الأدب العباسي العصر + +13 +00:01:25,800 --> 00:01:37,000 +الأول من 132 إلى 234 العصر الثاني من 234 إلى 334 + +14 +00:01:37,000 --> 00:01:43,160 +العصر الأول أحياناً يطلق عليه العصر الفارسي لأن + +15 +00:01:43,160 --> 00:01:51,020 +الحياة فيه كانت أو طبعت بطابع فارسي أما العصر + +16 +00:01:51,020 --> 00:01:54,760 +الثاني وهو العصر التركي وذلك لأن الأتراك كانت لهم + +17 +00:01:54,760 --> 00:02:00,040 +سلطة على الخليفة العباسي فسمي هذا العصر بالعصر + +18 +00:02:00,040 --> 00:02:07,120 +التركي نتناول المفهوم وهو مفهوم الأدب طبعاً نحن + +19 +00:02:07,120 --> 00:02:13,250 +سنتناول الأدب شعراً ونثراً في هذا العصرمفهوم الأدب + +20 +00:02:13,250 --> 00:02:20,390 +هو تعبير لغوي جميل عن أثر الأشياء والحقائق والقيم + +21 +00:02:20,390 --> 00:02:26,810 +والمواقف والأحداث في النفس في نفسي الأديم وكلمة + +22 +00:02:26,810 --> 00:02:32,530 +تعبير تعني أن الأدب هو عملية عملية سلوكية تحيل + +23 +00:02:32,530 --> 00:02:41,020 +المضمر أو المخفي في النفس إلى ظاهرة لغوية يمكن أن + +24 +00:02:41,020 --> 00:02:47,740 +يلاحظها وأن يتذوقها المتلقي وكلمة تعبير في الصياغة + +25 +00:02:47,740 --> 00:02:53,540 +الصرفية على الوزن أي تفعيل وتفعيل يعني فعل بعد + +26 +00:02:53,540 --> 00:03:02,260 +فعل كما نقول تفكير تفكر بعد تفكر وتعليم تعلم بعد + +27 +00:03:02,260 --> 00:03:09,320 +تعلم فالتعبير هو عملية، يعني محاولة بعد محاولة لأن + +28 +00:03:09,320 --> 00:03:14,240 +القيم الموجودة في النفس والمشاعر والأحاسيس هي + +29 +00:03:14,240 --> 00:03:20,600 +أشياء كلية وحرة داخل الإنسان، داخل كيان الإنسان، + +30 +00:03:20,600 --> 00:03:28,260 +هذه الأشياء أو هذه القيم عندما تخرج من قلب + +31 +00:03:28,260 --> 00:03:35,550 +ووجدان الشاعر تحتاج إلى إلى لغة واللغة لها ضوابط + +32 +00:03:35,550 --> 00:03:43,870 +صرفية ونحوية فالتعبير يحيل المضمر إلى ظاهر والمخفي + +33 +00:03:43,870 --> 00:03:51,070 +إلى معلن والكل إلى جزء مقيد بقواعد اللغة والصرف + +34 +00:03:51,070 --> 00:03:59,420 +والنحو والواقع الاجتماعي أما كلمة تعبير لغوي فاللغة + +35 +00:03:59,420 --> 00:04:06,560 +تخرج الأدب عن غيره من الفنون الأخرى واللغة كما هو + +36 +00:04:06,560 --> 00:04:13,880 +معلوم هي نظام صوتي اجتماعي يحمل دلالة فكل قوم لهم + +37 +00:04:13,880 --> 00:04:24,320 +أصوات يتفقون عليها لحمل دلالة معينة والنقطة الأخرى + +38 +00:04:24,320 --> 00:04:29,060 +أنه جميل تعبير لغوي جميل ومعنى جميل أن الأدب يجمل + +39 +00:04:29,060 --> 00:04:33,860 +ما هو جميل ويقبح ما هو قبيح لأن تجميل الجميل هو + +40 +00:04:33,860 --> 00:04:42,270 +جميل وتقبيح القبيح هو جميل أيضًا فالأدب تعبير لغوي + +41 +00:04:42,270 --> 00:04:48,390 +جميل يستعمل المهارات اللغوية والصور الجميلة عندما + +42 +00:04:48,390 --> 00:04:55,420 +يعبر عن قيم ومواقف وأحداث جميلة وأيضًا جميل لأنه + +43 +00:04:55,420 --> 00:05:01,080 +يقبح الأشياء القبيحة نقول عن القبيح هو قبيح ويختار + +44 +00:05:01,080 --> 00:05:06,920 +له من الصور والأساليب التي تلائم هذا القبح فمثلًا + +45 +00:05:06,920 --> 00:05:12,700 +البخل قيمة قبيحة والبخيل نموذج سيء فيختار الصور + +46 +00:05:12,700 --> 00:05:21,300 +التي تلائم هذه القيمة أو هذا النموذج تعبير لغوي + +47 +00:05:21,300 --> 00:05:26,700 +جميل عن أثر الأشياء لأن الأدب يعبر عن ما هو داخل + +48 +00:05:26,700 --> 00:05:32,840 +داخل الإنسان وليس في الواقع فالأدب ينطلق من نفسه + +49 +00:05:32,840 --> 00:05:38,360 +الأديب تعبير لغوي جميل عن أثر الأشياء وليس عن + +50 +00:05:38,360 --> 00:05:43,670 +الأشياء المتحيزة في الواقع وإنما عن الأشياء التي في + +51 +00:05:43,670 --> 00:05:47,770 +النفس عن الموقف الإنساني عن المشاعر الإنسانية تجاه + +52 +00:05:47,770 --> 00:05:54,390 +القيم والأحداث والأشياء هذا هو تعريف الأدب وكما + +53 +00:05:54,390 --> 00:06:01,070 +قلنا سنتناول الأدب شعراً ونثراً وأعلاماً في هذا العصر + +54 +00:06:01,070 --> 00:06:10,960 +أما بالنسبة لنشأة الدولة العباسية فقد قامت على فكرة + +55 +00:06:10,960 --> 00:06:21,920 +وتنظيم ثم ثورة ثم دولة بالنسبة للفكرة أنها قامت + +56 +00:06:21,920 --> 00:06:27,760 +على نموذج إسلامي وهو العباس ابن عبد المطلب عم + +57 +00:06:27,760 --> 00:06:32,500 +الرسول صلى الله عليه وسلم ومن شأن ذلك أن يعزز + +58 +00:06:32,500 --> 00:06:38,940 +مكانة الدولة في النفوذ لأن العباس، عم الرسول صلى + +59 +00:06:38,940 --> 00:06:44,500 +الله عليه وسلم كانت له مكانة في قلوب الصحابة + +60 +00:06:44,500 --> 00:06:50,520 +والتابعين فلذلك اختير هذا الاسم ليكون عنواناً لهذه + +61 +00:06:50,520 --> 00:06:58,280 +الدولة هذه الفكرة تحتاج إلى تنظيم وإلى دعوة ومعلوم + +62 +00:06:58,280 --> 00:07:03,150 +أن الدعوة العباسية لم تكن موجودة في الأصل السابق هو + +63 +00:07:03,150 --> 00:07:07,550 +العصر الأموي فالعصر الأموي كانت فيه أحزاب مثل حزب + +64 +00:07:07,550 --> 00:07:13,950 +ابن الزبير مثلاً الخوارج الشيعة ثم حزب بني أمية + +65 +00:07:13,950 --> 00:07:18,790 +طبعاً حزب ابن الزبير قد انتهى في العصر الأموي + +66 +00:07:18,790 --> 00:07:23,790 +وحزب بني أمية انتهى بانتهاء الدولة الأموية سنة + +67 +00:07:23,790 --> 00:07:33,330 +132 للهجرة اعتمد العباسيون على ثرقة من فرق الشيعة + +68 +00:07:33,330 --> 00:07:40,690 +وهم فرقة الكيسانية التي تشكلت حول محمد ابن الحنفية + +69 +00:07:40,690 --> 00:07:49,810 +وهذا يدل على أن التاريخ قدر إلهي بدرجة أساسية وأن + +70 +00:07:49,810 --> 00:07:55,820 +حركة التاريخ حركة تداول كما قال تعالى وتلك الأيام + +71 +00:07:55,820 --> 00:08:03,560 +نداولها بين الناس كانت قدراً ذلك أن الأمويين أن + +72 +00:08:03,560 --> 00:08:11,640 +الأمويين كانوا يقطعون كبار التابعين والذين لهم + +73 +00:08:11,640 --> 00:08:18,440 +مكانة في المجتمع يقطعونهم البلدات والأماكن فقد + +74 +00:08:18,440 --> 00:08:22,780 +اقتطع عبد الملك ابن مروان بلدة في الأردن اسمها + +75 +00:08:22,780 --> 00:08:28,630 +الحميمة اقتطعها لعلي ابن عبد الله ابن العباس + +76 +00:08:28,630 --> 00:08:32,390 +وسلماء + +77 +00:08:32,390 --> 00:08:42,130 +ابن ابن عبد الملك طلب من محمد ابن الحنفية زيارته + +78 +00:08:42,130 --> 00:08:45,530 +لدّمشق + +79 +00:08:45,530 --> 00:08:55,300 +وعندما انتهت الزيارة وعاد قافلاً إلى الحجاز قبل أن + +80 +00:08:55,300 --> 00:09:04,160 +يصل إلى الحجاز شعر بالمرض فمال إلى بلدة الحميمة + +81 +00:09:04,160 --> 00:09:08,880 +التي كان فيها محمد بن علي بن عبد الله بن العباس + +82 +00:09:09,510 --> 00:09:17,550 +وعندما أحس بدنو الأجل أوصى أن تكون الإمامة بعده + +83 +00:09:17,550 --> 00:09:24,150 +لمحمد ابن علي ابن عبدالله ابن العباس وبذلك انتقلت + +84 +00:09:24,150 --> 00:09:31,020 +إمامة الكيسانية إلى العباسيين وكان محمد ابن علي ابن + +85 +00:09:31,020 --> 00:09:36,360 +عبد الله العباسي كان رجلاً طموحاً فقام بتنظيم + +86 +00:09:36,360 --> 00:09:44,160 +الدعوة العباسية طبعاً لم يشر العباسيون إلى أنهم + +87 +00:09:44,160 --> 00:09:51,020 +سيريدون الحكم في بداية الدعوة وإنما كانوا يقولون + +88 +00:09:51,020 --> 00:09:59,160 +أننا سنختار إماماً من آل البيت حتى لا يثيروا حفيظة + +89 +00:09:59,160 --> 00:10:08,460 +أبناء عمومتهم من العلويين وبذلك بدأت الدعوة تنتقل + +90 +00:10:08,460 --> 00:10:11,960 +من الحميمة + +91 +00:10:11,960 --> 00:10:18,680 +إلى الكوفة موطن التشيع وأخذ يرسل الأمّة والبعوث إلى + +92 +00:10:18,680 --> 00:10:25,480 +بلاد خراسان لأن خراسان كانت موطن الناقمين على + +93 +00:10:25,480 --> 00:10:34,240 +الدولة الأموية وهناك أخذ أبو مسلم الخراساني يرتب + +94 +00:10:34,240 --> 00:10:39,890 +أمر الدعوة وكان على درجة عالية من الذكاء السياسي + +95 +00:10:39,890 --> 00:10:47,330 +بحيث أنه لم يدخل في عراك أو ثورة على نصر ابن + +96 +00:10:47,330 --> 00:10:57,890 +السيارة الذي كان عاملاً في بلاد خراسان للأمويين وقم + +97 +00:10:57,890 --> 00:11:05,370 +بإثارة النزاعات القبلية بين نصر ابن السيارة بين + +98 +00:11:05,370 --> 00:11:10,630 +القبائل المضرية والقبائل اليمنية بين نصر ابن + +99 +00:11:10,630 --> 00:11:16,150 +السيارة والقرماني فوقعقت مقتلة عظيمة بين بين + +100 +00:11:16,150 --> 00:11:23,570 +الفريقين ولما اطمأن أبو مسلم الخراساني إلى إلى أن + +101 +00:11:23,570 --> 00:11:30,870 +قوة نصر بن سيارة قد ضعفت أخذ يتقدم بجيشه ويسقط + +102 +00:11:30,870 --> 00:11:40,210 +حواضر ومدن خراسان الواحدة تلو الأخرى حتى تمكن بوصول + +103 +00:11:40,210 --> 00:11:49,420 +جيشه إلى الكوفة موطن التشيع ودخل العراق دون قتال + +104 +00:11:49,420 --> 00:11:57,280 +وبذلك قامت دولة العباسيين وفي هذه الأثناء كان حال + +105 +00:11:57,280 --> 00:12:06,550 +الأمويين من الضعف والتشتت والخلاف ما يُرثى له فقد + +106 +00:12:06,550 --> 00:12:16,970 +اختلف البيت الأموي على من يرث الخلافة حيث وارثها + +107 +00:12:16,970 --> 00:12:25,190 +آنذاك يزيد الوليد ابن يزيد وكان منادماً للفساق وشرب + +108 +00:12:25,190 --> 00:12:31,420 +يشرب الخمر كما قيل أو كما ذكر وبذلك ثار البيت + +109 +00:12:31,420 --> 00:12:39,560 +الأموي عليه وفي آخر المطاف تغلب مروان ابن محمد على + +110 +00:12:39,560 --> 00:12:47,320 +البيت الأموي ونصب نفسه خليفة ومع ذلك ثارت خلافات + +111 +00:12:47,320 --> 00:12:54,690 +كثيرة داخل البيت الأموي من جهة وثارت ثورات كثيرة + +112 +00:12:54,690 --> 00:13:01,850 +قام بها الخوارج في اليمن وفي مناطق كثيرة من الدولة + +113 +00:13:01,850 --> 00:13:10,970 +الإسلامية أدت إلى إضعاف الأمويين بينما كانت جيوش + +114 +00:13:10,970 --> 00:13:21,380 +الفرس تتقدم وتنتصر وتسقط حواضر ومدن خراسان والعراق + +115 +00:13:21,380 --> 00:13:30,600 +إلى أن قامت الدعوة العباسية منتصرة وحين علم مروان + +116 +00:13:30,600 --> 00:13:36,600 +ابن محمد بأن مصدر القلق هو بلدة الحميمة كان قد + +117 +00:13:36,600 --> 00:13:41,840 +ألقى القبض على إبراهيم ابن محمد ابن علي ابن + +118 +00:13:41,840 --> 00:13:48,020 +عبدالله العباسي وقتله فولي الأمر الإمام بعده محمد + +119 +00:13:48,020 --> 00:13:54,490 +ابن عبدالله الذي هو أبو العباس السفاح فعندما علم + +120 +00:13:54,490 --> 00:14:02,450 +بقيام الدولة وانتصار الجيوش الفارسية على الأمويين + +121 +00:14:02,450 --> 00:14:09,930 +ووصولها إلى الكوفة ذهب هو وأعمامه وإخوانه إلى + +122 +00:14:09,930 --> 00:14:18,530 +الكوفة ونصب نفسه خليفة وعندها طبعاً يعني + +123 +00:14:18,530 --> 00:14:23,790 +أشار إلى أنه هو الأحق بالخلافة واعتماداً على آية من + +124 +00:14:23,790 --> 00:14:27,890 +القرآن الكريم وإن الأرحم بعضهم أولى ببعض في كتاب + +125 +00:14:27,890 --> 00:14:34,690 +الله وأن العم يحجب ابن العم في الميراث ونظر إلى + +126 +00:14:34,690 --> 00:14:39,550 +الخلافة على أنها ميراث فهم أحقوا بها فالعمه وهو + +127 +00:14:39,550 --> 00:14:43,570 +العباس بن عبد المطلب أحق بالخلافة من علي ابن + +128 +00:14:43,570 --> 00:14:49,490 +أبي طالب وقامت دولة العباسيين حينئذ وأخذ العباسيون + +129 +00:14:50,170 --> 00:14:58,150 +بالقضاء على ما تبقى من الدولة الأموية وأحدثه مقتلة + +130 +00:14:58,150 --> 00:15:05,070 +عظيمة في الأمويين يندى لها التاريخ الإسلامي بقى أن + +131 +00:15:05,070 --> 00:15:11,350 +نشير إلى تأثير نشأة الدولة العباسية على الأدب وهو + +132 +00:15:11,350 --> 00:15:14,490 +النقطة الجوهرية في هذا الموضوع لأننا لا ندرس + +133 +00:15:14,490 --> 00:15:19,620 +التاريخ وليس تاريخ موضوعًا لنا إنما هو الموضوع أي + +134 +00:15:19,620 --> 00:15:24,140 +الذي يهمنا هو الأدب فما تأثيره الأدبي فما تأثيره + +135 +00:15:24,140 --> 00:15:28,020 +نشأة الدولة العباسية على الأدب العربي في هذه + +136 +00:15:28,020 --> 00:15:33,860 +الفترة طبعاً النقطة الأولى أن هذه الدولة أحدثت + +137 +00:15:33,860 --> 00:15:38,980 +اتجاهات بين الشعراء فوجدنا اتجاهًا جديدًا ينشأ في + +138 +00:15:38,980 --> 00:15:45,840 +الأدب العربي وهو اتجاه الدعوة العباسية وجدنا شعراء + +139 +00:15:45,840 --> 00:15:52,280 +يُمجّدون الدولة العباسية ويكثرون المدح للخلفاء + +140 +00:15:52,280 --> 00:15:59,920 +العباسيين وهذا أي تأثير ووجدنا كمية كبيرة من + +141 +00:15:59,920 --> 00:16:06,300 +الشعر في هذا الجانب ووجدنا صفات الخليفة في الشعر + +142 +00:16:06,300 --> 00:16:14,320 +العباسي صفات العدل والتقوى صفات الإمام العادل + +143 +00:16:14,320 --> 00:16:21,000 +أيضاً التشّكات لدينا منظومة أخلاقية تتعلق بالنظام + +144 +00:16:21,000 --> 00:16:28,300 +الحكم الرشيد نقطة ثانية الحرية المسرفة ذلك أن هذه + +145 +00:16:28,300 --> 00:16:36,200 +الدولة قامت على أكتاف الفرس وعلى أكتاف الجيش + +146 +00:16:36,200 --> 00:16:41,300 +الفارسي القادم من خراسان وهذا الجيش يحمل حضارة + +147 +00:16:41,300 --> 00:16:50,730 +وقيم حضارية وثقافية ونظرة للحياة والأحياء فطبعت + +148 +00:16:50,730 --> 00:16:56,610 +الحياة في هذا العصر بطابع فارسي والفرس كانوا + +149 +00:16:56,610 --> 00:17:03,110 +يُمجّدون الجانب المادي يمجدون الجانب المادي ولهم + +150 +00:17:03,110 --> 00:17:09,140 +أنظمة في تنظيم الحياة اليومية والحياة السياسية ولهم + +151 +00:17:09,140 --> 00:17:15,040 +أعياد ولهم طرق في الزواج في الاحتفالات في المأكل + +152 +00:17:15,040 --> 00:17:23,360 +المشرب المسكن كل ذلك كان له تأثير على حياة المجتمع + +153 +00:17:23,360 --> 00:17:30,340 +العباسي فأحدثت حرية مسرفة هذه الحرية المسرفة أطاحت + +154 +00:17:30,340 --> 00:17:34,360 +بالنظام العربي بالتقاليد العربية وخلقت مفاهيم + +155 +00:17:34,360 --> 00:17:40,420 +جديدة للقيم وللمنظومة الأخلاقية العربية وأيضاً + +156 +00:17:40,420 --> 00:17:46,840 +وجدنا تمردًا على التقاليد العربية والتقاليد الفنية + +157 +00:17:46,840 --> 00:17:52,420 +أيضاً وجدنا تأثيرًا على لغة الشعر فمال الشعر إلى + +158 +00:17:52,420 --> 00:17:59,660 +الأسلوب الرقيق الذي يتناسب مع الحضارة فنشأ عنده + +159 +00:17:59,660 --> 00:18:06,300 +الأسلوب المولد أيضاً وجدنا تجديدًا في موضوعات الشعر + +160 +00:18:06,300 --> 00:18:11,140 +القديم وجدنا موضوعات جديدة تنشأ في هذا العصر فإذا + +161 +00:18:11,140 --> 00:18:20,080 +الحرية المسرفة التي كانت سببًا ل كانت سببًا من + +162 +00:18:20,080 --> 00:18:26,490 +أسباب نشأة الدولة العباسية هذه الحرية هي التي كان + +163 +00:18:26,490 --> 00:18:32,190 +لها تأثير كبير على حركة الشعر ونقلة الشعر العربي + +164 +00:18:32,190 --> 00:18:38,910 +نقلة جديدة فسمي هذا العصر بالعصر المحدث أو الشعر + +165 +00:18:38,910 --> 00:18:47,790 +المحدث ووجدنا أي مواقف لعلماء اللغة ونقد يعني نشأ + +166 +00:18:47,790 --> 00:18:55,190 +بطريقة موسعة أكثر مما كان عليه في السابق هذا و + +167 +00:18:55,190 --> 00:18:59,030 +بالله التوفيق وللحديث بقية والسلام عليكم ورحمة + +168 +00:18:59,030 --> 00:19:00,810 +الله وبركاته diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg.srt new file mode 100644 index 0000000000000000000000000000000000000000..9f196047344a5b24c30613f98fab681b61f61f5f --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg.srt @@ -0,0 +1,1350 @@ +1 +00:00:04,890 --> 00:00:08,870 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,870 --> 00:00:14,170 +وعلى آله وصحبه وسلم تسليما كثيرا أما بعد موضوع + +3 +00:00:14,170 --> 00:00:18,790 +هذه المحاضرة تأثير المعتزلة في الشعر العباسي + +4 +00:00:18,790 --> 00:00:25,510 +الحقيقة أن للمعتزلة كان لهم تأثير كبير في مجريات + +5 +00:00:25,510 --> 00:00:30,330 +الحياة العقلية في هذا العصر وتعتبر هذه البيئة بيئة + +6 +00:00:30,330 --> 00:00:35,410 +معتدلة +من أهم البيئات الثقافية والمذهبية التي أعطت + +7 +00:00:35,410 --> 00:00:41,230 +للعقل العربي حضورا في الشعر العربي وفي الحياة عامة + +8 +00:00:41,230 --> 00:00:48,530 +وفي مجالات كثيرة سواء كانت المعارف أو العلوم أو + +9 +00:00:48,530 --> 00:00:53,950 +المذاهب الدينية وغير ذلك، أما في الشعر فقد كان لها + +10 +00:00:53,950 --> 00:00:59,310 +تأثير كبير من حيث أنها أمدت الشعر العربي بالألفاظ + +11 +00:00:59,310 --> 00:01:05,330 +والمصطلحات التي استغنى بها الشعر عن التعبير + +12 +00:01:05,330 --> 00:01:10,790 +المباشر، فعمقت المعاني وأطلقت الخيال إلى درجة عالية + +13 +00:01:10,790 --> 00:01:15,930 +أكثر مما كان عليه في العصور السابقة، كما أحدثت + +14 +00:01:15,930 --> 00:01:21,470 +اتجاهات في الشعر العباسي في هذه الفترة، فوجدنا من + +15 +00:01:21,470 --> 00:01:29,990 +يعارض ومن يؤيد المعتزلة، نبدأ بتمجيد العقل عند + +16 +00:01:29,990 --> 00:01:37,250 +المعتزلة كما أشار بشر بن المعتمر أحد أكبر شعراء + +17 +00:01:37,250 --> 00:01:44,630 +المعتزلة، فقال: لله درّ العقل من رائد وصاحب في + +18 +00:01:44,630 --> 00:01:51,050 +العسري واليسري، وحاكم يقضي على غائب قضية الشاهد + +19 +00:01:51,050 --> 00:01:56,310 +للأمر، وإن شيئا بعض أفعاله أن يفصل الخير من الشر + +20 +00:01:56,310 --> 00:02:02,670 +لذوقوا قد خصه ربه بخالص التقديس والطهر، طبعًا هنا في + +21 +00:02:02,670 --> 00:02:07,010 +مدح، يمدح العقل «لله درّه العقلي» من رائد من قائد + +22 +00:02:07,010 --> 00:02:12,470 +يقود إلى وضع الأهداف، فالعقل هو الذي يضع الأهداف + +23 +00:02:12,470 --> 00:02:20,990 +السامية والأهداف المناسبة ويستعمل الوسائل التي + +24 +00:02:20,990 --> 00:02:27,110 +تحقق هذا الهدف، فقال وصاحب في اجتماع كلمة رائد + +25 +00:02:27,110 --> 00:02:34,770 +وصاحب، يدل على أن هناك خلافا بينهما، اختلاف كلمة رائد + +26 +00:02:34,770 --> 00:02:41,550 +وصاحب، رائد يعني تقود إلى وضع الهدف، صاحب يضع + +27 +00:02:41,550 --> 00:02:46,710 +الوسائل التي يتحقق منها الهدف أو يتحقق بها الهدف. + +28 +00:02:46,710 --> 00:02:53,730 +في العسري واليسري، فالعقل هو الذي يعني يختار السيء + +29 +00:02:53,730 --> 00:02:59,370 +من الأسوأ في حالة العسري، يختار العقل السيء على + +30 +00:02:59,370 --> 00:03:06,350 +الأسوأ، أما في اليسري فيختار الأحسن على الحسن، وحاكم + +31 +00:03:06,350 --> 00:03:11,570 +يقضي على غائب قضية الشاهد الأمر، فالعقل هو الذي + +32 +00:03:11,570 --> 00:03:20,110 +يوصل المقدمات إلى نتائج، يعني العقل هو الذي يصل إلى + +33 +00:03:20,110 --> 00:03:25,490 +أو يساعد على تحقيق النتيجة من المقدمات والحيثيات. + +34 +00:03:26,230 --> 00:03:31,030 +وحاكم يقضي على غائب، ما هو الشاهد وما هو الغائب؟ + +35 +00:03:31,030 --> 00:03:36,670 +الشاهد المقدمات والدلائل أو الأدلة أو البراهين، أما + +36 +00:03:36,670 --> 00:03:42,470 +الغائب فهو النتيجة، فالعقل يقود إلى الوصول إلى + +37 +00:03:42,470 --> 00:03:49,210 +النتيجة، فهو فهو الذي يحقق الهدف والغاية من خلال + +38 +00:03:49,210 --> 00:03:54,350 +إيه المقدمات،ذلك أن العقل ينتقل من المقدمات إلى + +39 +00:03:54,350 --> 00:03:59,910 +النتائج عبر علاقات منطقية، علاقة السبب ونتيجة + +40 +00:03:59,910 --> 00:04:06,290 +واللازم والملزوم والعام والخاص والجزء والكل، فهذه + +41 +00:04:06,290 --> 00:04:10,650 +العلاقات يتحرك فيها العقل من المقدمة إلى النتيجة + +42 +00:04:10,650 --> 00:04:16,510 +يربط بين المقدمات والنتائج، وإن شأن بعض أفعاله أن + +43 +00:04:16,510 --> 00:04:22,110 +يفصل الخير من الشر، يعني من يقوم بالفصل بين الخير + +44 +00:04:22,110 --> 00:04:29,830 +والشر هو يعني يحقق أعظم الوظائف وأفضل الأعمال، فهو + +45 +00:04:29,830 --> 00:04:37,150 +يستحق أجمل الصفات، ولذلك قد خصه ربه بخالص التقديس + +46 +00:04:37,150 --> 00:04:42,100 +والطهر، فالعقل إذًا من أفضل النعم التي أنعمها الله + +47 +00:04:42,100 --> 00:04:47,220 +على الإنسان، أيضًا + +48 +00:04:47,220 --> 00:04:52,220 +كما قلنا أن المعتزلة أحدثوا اتجاهات عند الشعراء + +49 +00:04:52,220 --> 00:04:57,860 +فبعض الشعراء كان يظهر عن فكر مخالف للمعتزلة، كما + +50 +00:04:57,860 --> 00:05:05,370 +فعل بشار، حين عرضه واصل من عطاء في .. في فكرة + +51 +00:05:05,370 --> 00:05:12,470 +المعتزلة، وهو .. وهي أن الإنسان حر أو حُرية الإرادة + +52 +00:05:12,470 --> 00:05:22,330 +الإنسانية، فبشار يقول أنه مسير مجبور وليس مخير، فلو + +53 +00:05:22,330 --> 00:05:29,050 +خير لكان يعني أحسن إنسان، لكان مهذبا خالي من العيوب + +54 +00:05:29,870 --> 00:05:36,730 +فقال: طبعت على ما في غير مخير هوايا، ولو خيرت كنت + +55 +00:05:36,730 --> 00:05:42,670 +المهذبة أريد فلا أعطى، وأعطى ولم أرد، ويقصر علمي أن + +56 +00:05:42,670 --> 00:05:49,870 +أنا للمغيّبة، فأصرف عن قصدي، وعلمي مقصر، وأمسي وما + +57 +00:05:49,870 --> 00:05:56,900 +أعقبت إلا التعجبة، نجد أن بشار هنا يخالف المعتزلة + +58 +00:05:56,900 --> 00:06:02,720 +التي تقول بحرية الإرادة الإنسانية، طبعت على ما في + +59 +00:06:02,720 --> 00:06:08,400 +غير مخيرا، أنا مطبوع مجبول على هذه الصفات، وجدت معي + +60 +00:06:08,400 --> 00:06:16,060 +منذ الخلق الأول، فلو كنت مخيرا لأخترت أن أكون خاليا + +61 +00:06:16,060 --> 00:06:24,160 +من العيوب، ومما يظل على أنني مطبوع أنني أريد أشياء + +62 +00:06:24,160 --> 00:06:30,960 +فلا أعطاها، وأعطى أشياء لم أريدها، كما أنني في علمي + +63 +00:06:30,960 --> 00:06:37,980 +مقصر أو علمي محدود، لا أعلم الغيب، ولو كنت أعلم + +64 +00:06:37,980 --> 00:06:44,280 +الغيب لاستكثرت من الخير، فأصرف عن قصدي، أحيانا يكون + +65 +00:06:44,280 --> 00:06:51,560 +قصدي أن أذهب إلى مكان ما فينصرف إلى مكان آخر، حتى + +66 +00:06:51,560 --> 00:06:57,820 +إذا جاء المساء ونظرت إلى أفعال التي عملتها في هذا + +67 +00:06:57,820 --> 00:07:04,800 +اليوم لا أصل إلا إلى التعجب لأن هناك أشياء حصلت + +68 +00:07:04,800 --> 00:07:10,980 +دون إرادتي، وأردت أشياء أو أفعال لم أتحصل عليها. + +69 +00:07:10,980 --> 00:07:20,700 +كذلك ساعدت المعتزلة الشعراء بما فتحته من تشعبات + +70 +00:07:20,700 --> 00:07:28,280 +وتولدات للمعاني وإعادة إنتاج صور مثيرة للدهشة + +71 +00:07:28,280 --> 00:07:39,020 +والإعجاب، فالليل في الشعر الجاهلي يُعبر عنه بطول + +72 +00:07:39,020 --> 00:07:45,740 +في مثل قول امرئ القيس: فيالك من ليل كأن نجومه بكل + +73 +00:07:45,740 --> 00:07:56,520 +مغاري الفتن شدت بيزبول، استعمل التشبيه بكأن لدلالة + +74 +00:07:56,520 --> 00:08:05,070 +أو لتشبيه الليل بوقوفه وعدم الحركة في جبل يذبل في + +75 +00:08:05,070 --> 00:08:14,010 +نجد، حيث ربطت هذه النجوم التي تتحرك وتحدد سير الليل + +76 +00:08:14,010 --> 00:08:19,250 +ربطت في يذبل جبل في نجد، فكأن هذا الليل لا يتحرك + +77 +00:08:19,250 --> 00:08:25,950 +لأن الليل وإن كان حركة زمانية إلا أنه مرتبط بحركة + +78 +00:08:25,950 --> 00:08:30,410 +المكان وهي حركة النجوم، فالنجوم هي التي تحدد الزمن + +79 +00:08:30,410 --> 00:08:39,630 +فهذه النجوم لا تتحرك إذا الزمن يقف، فقال أو عبّر + +80 +00:08:39,630 --> 00:08:48,620 +عن طول الليل الذي طبعًا يعّبر عن قلقه بأن نجومه قد + +81 +00:08:48,620 --> 00:08:57,980 +ربطت بحبال قوية في جبل يزبل بالدلالة على الثبات + +82 +00:08:57,980 --> 00:09:03,680 +وأنه لا يتحرك إلى النهاية، أما + +83 +00:09:03,680 --> 00:09:09,160 +الشاعر العباسي بشار بن برد فإنه لم يستعمل التشبيه + +84 +00:09:10,560 --> 00:09:15,280 +في التعبير عن طول الليل المعّبر عن قلقه بل استعمل + +85 +00:09:15,280 --> 00:09:23,160 +السؤال الملحّق بمثل قوله: خليلي ما بال + +86 +00:09:23,160 --> 00:09:28,340 +الدِّجَا لَيْسَ يَبْرَحُ ومَابَالُ ضَوْقُ الصُبْحِ + +87 +00:09:28,340 --> 00:09:35,720 +لَيَتَوَضَّحُ، فهذا السؤال أشرك طرفا ثالثا وهو + +88 +00:09:35,720 --> 00:09:40,840 +أصحابه، أشرك أصحابه في التجربة في تجربة طول الليل + +89 +00:09:40,840 --> 00:09:47,560 +جلب طرفا ثالثا من خلال السؤال وأحدث حركة زاخرة + +90 +00:09:47,560 --> 00:09:56,560 +خليلي ما بال الدجا، فإثارة السؤال أثرت معها مجموعة + +91 +00:09:56,560 --> 00:10:03,400 +من الإجابات، فأحدثت حركة عقلية وحركة تخيلية، خلي لي + +92 +00:10:03,400 --> 00:10:09,420 +ما بال الدجا ليس يبرح، لماذا الليل لا يتحرك؟ + +93 +00:10:09,420 --> 00:10:19,980 +ولماذا ضوء الصبح لا يظهر؟ هل ظهرت مصيبة؟ هل ظهرت + +94 +00:10:19,980 --> 00:10:30,030 +أو وقعت بليّة؟ هل تغير نظام الكون؟ فهذه الأسئلة أو + +95 +00:10:30,030 --> 00:10:33,910 +هذه التساؤلات أحدثت مجموعة هائلة من الإجابات + +96 +00:10:33,910 --> 00:10:40,770 +والأفكار، طبعًا هذه يعني أدت إلى إحداث حركة عقلية + +97 +00:10:40,770 --> 00:10:47,160 +وحركة أيضاً تخيّلية عند المتلقّي، خليّيا ما بالوا + +98 +00:10:47,160 --> 00:10:52,340 +الدجا ليس يبرحوا وما بالوا طوأ الصبح لا يتوضحوا + +99 +00:10:52,340 --> 00:10:56,960 +والشعر الجيد هو الذي يحدث تخييلا في المتلقّي + +100 +00:10:56,960 --> 00:11:00,080 +وتفكيرا + +101 +00:11:00,080 --> 00:11:08,420 +تأملّيا وارتقائيا، وهذا ما كان من شعري بشار، أو قوله: + +102 +00:11:08,420 --> 00:11:12,400 +خلّي ليّ مابالو الدجا ليس يبرحوا ومابالو ضوء الصبح + +103 +00:11:12,400 --> 00:11:20,120 +لا يتوضحوا، فهو خيال زاخم بالحركة، وأحدث أيضًا + +104 +00:11:20,120 --> 00:11:29,560 +تخيّلات كثيرة وحركة الفكر أو العقل، حركات كثيرة من + +105 +00:11:29,560 --> 00:11:35,220 +خلال هذا السؤال الذي يستدعي إجابات وتخيّلات كثيرة + +106 +00:11:36,770 --> 00:11:43,590 +كذلك قال في أسل فراقي إحدى صواحبه: كأن جفونه سُملت + +107 +00:11:43,590 --> 00:11:50,350 +بشوك، فليس لوسنة فيها قراره، أقول وليلتي تزدادوا + +108 +00:11:50,350 --> 00:11:56,510 +طولا، أما للليل بعدهم نهاره، جفت عيني عن التغميد حتى + +109 +00:11:56,510 --> 00:12:02,860 +كأن جفونها عنها قصارها، استعمل صحيح التشبيه، لكنه + +110 +00:12:02,860 --> 00:12:10,160 +أيضًا استعمل السؤال الملّح، أما للليل بعدهم نهاره، + +111 +00:12:10,160 --> 00:12:18,620 +هنا جلب طرفًا ثالثًا، وهو المسئول، + +112 +00:12:18,620 --> 00:12:29,730 +عنده شائل ومسئول ومسئول عنه، فهذا أنضج التجربة ووسع + +113 +00:12:29,730 --> 00:12:36,090 +الفكر وأثار الحركة الفكرية والحركة التخيلية، لأن + +114 +00:12:36,090 --> 00:12:43,370 +الخيال هو يحتاج العقل صحيح لكنه يفارقه، الخيال يسمو + +115 +00:12:43,370 --> 00:12:48,290 +على العقل، وإن كان ينطلق من العقل إلا أنه يسمو على + +116 +00:12:48,290 --> 00:12:52,670 +العقل، لأن الخيال مرتبط بالمعنى الإنساني، بعالم آخر + +117 +00:12:53,330 --> 00:12:58,350 +ليس العالم الطبيعي، إنما هو العالم الإنساني، ما + +118 +00:12:58,350 --> 00:13:02,130 +وراء الطبيعة، الذي يعبّر عنه أحيانًا بالـ + +119 +00:13:02,130 --> 00:13:07,910 +Metaphysica، ما وراء الطبيعة. فالشعر هنا استعمل + +120 +00:13:07,910 --> 00:13:13,570 +أيضًا السؤال، وطبعًا أحدث أيه يعني حراكًا فكريًا في + +121 +00:13:13,570 --> 00:13:20,570 +العقل، وأيضًا ولد أيه صورة جميلة رائعة، يعني منتزعة + +122 +00:13:20,570 --> 00:13:27,810 +من هذه الروح الجديدة التي نبتت في هذا العصر، في + +123 +00:13:27,810 --> 00:13:33,070 +قوله: كأن جفونها عنها قصاره، كأن جفون العين قصيرة. + +124 +00:13:35,130 --> 00:13:41,950 +أيضًا من برعّتي في التعليل أيضًا أنه يستعمل في + +125 +00:13:41,950 --> 00:13:46,710 +نقض المعنى على شكل المتكلّمين، يعني كأنه إيه ينقض + +126 +00:13:46,710 --> 00:13:53,790 +المعنى السابق ويقول لا الليل ليس طويلًا، إنما أنا + +127 +00:13:53,790 --> 00:14:00,890 +لم أنم، الليل ليس طويل أنا مانمتش لم أنم، طبعًا هذا + +128 +00:14:00,890 --> 00:14:06,210 +إيه يعمق التجربة، هو نقض المعنى السابق، لكنه عمّق + +129 +00:14:06,210 --> 00:14:11,310 +المعنى أيضًا، ونقلنا إلى تجربة عميقة، لم يطول + +130 +00:14:11,310 --> 00:14:18,490 +ليلي، ولكن لم أنم، ونفى عني الكرى طيف ألم، الليل + +131 +00:14:18,490 --> 00:14:22,590 +ليس طويلًا، لم يطول ليلي، يعني الليل ليس طويلًا، + +132 +00:14:22,590 --> 00:14:29,930 +لكن أنا لم أنم، أنا ما نمتش، ونفى عني إنهم طيف + +133 +00:14:29,930 --> 00:14:37,570 +المحبوبة، خيال الحبيبة، نزل على عقلي، فسيطر على كل + +134 +00:14:37,570 --> 00:14:43,530 +مشاعري وأحاسيسي، فالليل ليس طويل، طبعًا قبل قليل + +135 +00:14:43,530 --> 00:14:47,670 +كان يقول الليل طويل، وطبعًا يعّبر عن القلق هنا، + +136 +00:14:47,670 --> 00:14:54,930 +وقال لأ نقض المعنى، وقال لم يطول ليلي، ولكن لم أنام، + +137 +00:14:54,930 --> 00:15:01,030 +يعني الموضوع مني أنا، أنا لست .. أو أنا لم أنام في + +138 +00:15:01,030 --> 00:15:07,250 +هذا الليل، لماذا؟ لأن طيف الحبيبة أو خيال المحبوبة + +139 +00:15:07,250 --> 00:15:15,940 +نزل علي وسيطر على كل مشاعري، أيضًا من ال .. ال .. + +140 +00:15:15,940 --> 00:15:22,120 +النشاط العقلي والفكري الذي أحدثته المعتزلة تقريب + +141 +00:15:22,120 --> 00:15:25,960 +المعاني والاحتيال عليها للتوليد والتفريع في مثل + +142 +00:15:25,960 --> 00:15:33,420 +قوله قول بشار: وعي الفعالي كعي المقالي وفي الصمت عي + +143 +00:15:33,420 --> 00:15:40,800 +كعي الكلمة، العي هو المرض أو العيب، وعي الفعالي يعني + +144 +00:15:40,800 --> 00:15:48,100 +السلوك، في السلوك في مرض وفي القول في مرض، في الصمت + +145 +00:15:48,100 --> 00:15:53,460 +أيضًا في مرض، في الكلام أيضًا يوجد أي مرض، وإن كان + +146 +00:15:53,460 --> 00:16:01,320 +طبعًا فيها أشياء جميلة إلا أن فيها عيوب أيضًا، وعي + +147 +00:16:01,320 --> 00:16:07,840 +الفعالي كعي المقال وفي الصمت عي كعي الكلمة، الصمت + +148 +00:16:07,840 --> 00:16:14,890 +قد يكون بليغًا، كما قال المتنبي: وفي النفس حاجات وفيك + +149 +00:16:14,890 --> 00:16:23,010 +فطانة، سكوت بيان عندها وخطابه، قد يكون فيه عيب وفي + +150 +00:16:23,010 --> 00:16:31,010 +الصمت عيب كعيب الكلام أيضًا، كما قال الزهاد سابقًا + +151 +00:16:31,010 --> 00:16:38,010 +إذا أعجبك الكلام فاصمت وإذا أعجبك الصمت فتكلم. + +152 +00:16:41,120 --> 00:16:45,900 +هذا بشار أيضًا، هذه الظاهرة موجودة عند غيره من + +153 +00:16:45,900 --> 00:16:52,880 +الشعراء، فأبو نواس مثلًا يعني ظافر بأكثر مما ظافر + +154 +00:16:52,880 --> 00:16:59,140 +به بشار، ففي أشعاره سيول من مصطلحات المعتزلة + +155 +00:16:59,140 --> 00:17:07,600 +وألفاضهم وأفكارهم، مثل فكرة التولّد .. وهي الفعل + +156 +00:17:07,600 --> 00:17:13,480 +الذي ينشأ عن فعل آخر دون قصد، هذه الفكرة .. فكرة + +157 +00:17:13,480 --> 00:17:20,840 +التولد، استعملها الشاعر في الغزل في تجميل صورة + +158 +00:17:20,840 --> 00:17:30,760 +المحبوبة، فهذه المحبوبة فيها محاسن كاملة صفات وصلت + +159 +00:17:30,760 --> 00:17:39,360 +إلى الكمال، وهناك صفات تتجدد، يريد أن يصف المحبوب بأن + +160 +00:17:39,360 --> 00:17:49,160 +.. بأن صفاتها وصلت إلى الكمال ولم يقف عند ذلك، لأنه + +161 +00:17:49,160 --> 00:17:55,280 +لو كانت وصلت إلى الكمال فقط تتحول الصورة إلى نمطية + +162 +00:17:55,280 --> 00:18:01,020 +ولكنه يريد أن يضيف شيء آخر مع الجمال وهو الإحساس + +163 +00:18:01,020 --> 00:18:06,990 +به، يعني يريد أن يُعبر عن الجمال والإحساس بالجمال + +164 +00:18:06,990 --> 00:18:14,050 +الجمال في أن المحبوبة وصلت إلى صفات الكمال في + +165 +00:18:14,050 --> 00:18:22,030 +الحُسن، الشيء الثاني أن هناك صفات تتولد وتتنوع، + +166 +00:18:22,390 --> 00:18:31,790 +فالتنوع والتجدد يعطينا إحساس بالجمال، فإذا إيه هذه + +167 +00:18:31,790 --> 00:18:39,050 +الفكرة يعني أضافت أو عمقت التجربة، التجربة الجمال + +168 +00:18:39,050 --> 00:18:4 + +201 +00:22:39,510 --> 00:22:46,230 +الكرام ولا يكون شجاعا إلا إذا كان صادقا في شجاعته + +202 +00:22:47,360 --> 00:22:52,600 +ولا يكون عفيفا إلا إذا كان صادقا في عفته أما في + +203 +00:22:52,600 --> 00:22:59,040 +الشر فيكون نموذجا في الشر شريرا بإرادة الشر لأن + +204 +00:22:59,040 --> 00:23:06,450 +يكون الشر مطموعا في نفسه وهذه هي الصفة التي يريدها + +205 +00:23:06,450 --> 00:23:15,510 +أبو نواس في وصف المهجوم كَمُنَ الشَنَآنُ فيه لنا + +206 +00:23:15,510 --> 00:23:22,370 +يعني أن الشر كامن فيه في طبعه وليس ناشئا من + +207 +00:23:22,370 --> 00:23:30,290 +المعاملة يعني الشر ليس سلوكًا، بل هو طبع فيه، فلذلك + +208 +00:23:30,290 --> 00:23:37,170 +قال كم نشنان فيه لنا ككمون النار في حجره، كما تكمن + +209 +00:23:37,170 --> 00:23:44,950 +النار في الحجر فإنها لا تظهر إلا إذا يعني ضربت + +210 +00:23:44,950 --> 00:23:51,690 +بالذناد أو ضرب الحجر إيه بالذناد فإنه يعني تخرج + +211 +00:23:51,690 --> 00:23:57,130 +إيه منه إيه النار الشرارة ثم بتتحول إلى إيه إلى + +212 +00:23:57,130 --> 00:24:02,670 +نار كما كان يفعل العرب قديما كانوا يستعملون الذناد + +213 +00:24:02,670 --> 00:24:09,080 +وهو كطعة من الحديد وزائد قطعة من الكورسوف اللي هو + +214 +00:24:09,080 --> 00:24:14,100 +القطن المبلل بالنفط وكان + +215 +00:24:14,100 --> 00:24:21,080 +طبعا إيه المعتزلة بنظرياتهم ومصطلحاتهم يمدون إيه + +216 +00:24:21,080 --> 00:24:28,500 +الشعر العربي في هذه الفترة مما عمق المعاني ووصل + +217 +00:24:28,500 --> 00:24:35,690 +الشعر إلى التعبير المريح عن المعاني التي يريد أيضا + +218 +00:24:35,690 --> 00:24:40,990 +أحداث المعتدلة اتجاهات كما ذكرنا عند بشار الذي كان + +219 +00:24:40,990 --> 00:24:46,970 +يصدر عن فكر الجبرية نرى كذلك أبا نواس يصدر عن فكر + +220 +00:24:46,970 --> 00:24:54,720 +المرجئة في حواره مع النظام طبعًا المرجئة تقول أن من + +221 +00:24:54,720 --> 00:24:59,940 +حق الله سبحانه وتعالى أن يترك وعيده لمن أجرم + +222 +00:24:59,940 --> 00:25:06,000 +وارتكب الكذاب على عكس المعتزلة التي تقول بأن الله + +223 +00:25:06,000 --> 00:25:10,890 +سبحانه وتعالى عادل وخير الإنسان وأعطاه حرية الإرادة + +224 +00:25:10,890 --> 00:25:19,450 +ف .. فمن أحسن فله إيه؟ فله الجزاء الحسن ومن أساء + +225 +00:25:19,450 --> 00:25:22,450 +و أجرم فله إيه؟ العقاب + +226 +00:25:25,570 --> 00:25:36,070 +قال أبو نواس يرد على النظام فكرته في حرية الإنسان + +227 +00:25:36,070 --> 00:25:44,970 +وقال فقل لمن يدعي في العلم فلسفة حفظت شيئا وغابت + +228 +00:25:44,970 --> 00:25:51,830 +عنك أشياه لا تحضر العفو إن كنت مريئا حرجا فإن + +229 +00:25:51,830 --> 00:26:00,140 +حضركه فإن حضركه بالدين إزرعه لأن + +230 +00:26:00,140 --> 00:26:04,280 +منع العفو كأنك تمنع صفة من صفات الله سبحانه وتعالى + +231 +00:26:04,280 --> 00:26:07,880 +فالله + +232 +00:26:07,880 --> 00:26:17,240 +عفوه ومن أفعاله أنه يعفو فالعفو عند الله صفة وفعل + +233 +00:26:17,240 --> 00:26:26,830 +فهو يعفو إن منع هذه الصفة ومنع هذه الفعل هو إنقاذ + +234 +00:26:26,830 --> 00:26:31,030 +للدين وإخلال + +235 +00:26:31,030 --> 00:26:36,090 +بالعقيدة الإسلامية في صفات الله سبحانه وتعالى + +236 +00:26:36,090 --> 00:26:46,230 +أيضًا نجد أن المعتزلة فتقت عقل أبي نواث فإذا شعر + +237 +00:26:46,230 --> 00:26:51,430 +يتحول إلى كنز من المعاني المبتكرة والأخلاق المبتدعة + +238 +00:26:51,430 --> 00:26:58,050 +يقول في وصف الخمر توهمتها في كأسها فكأنما توهمت + +239 +00:26:58,050 --> 00:27:04,590 +شيئا ليس يدركه بالعقل وصفراء أبقى الدهر مكنون + +240 +00:27:04,590 --> 00:27:10,910 +روحها وقد مات من مخبورها جوهر الكل فما يفتقد تكييف + +241 +00:27:10,910 --> 00:27:19,140 +منها إلى مدى تحد به إلا ومن قبله قبله توهمتها طبعا + +242 +00:27:19,140 --> 00:27:28,540 +الشاعر يريد أن ينتقل من الخمر إلى تعبير عن تأثيرها + +243 +00:27:28,540 --> 00:27:38,180 +الروحي ولذلك نجد هذه الأوصاف إنما تتعلق بالجانب + +244 +00:27:38,180 --> 00:27:46,680 +التأثيري توهمتها فكلمة توهمتها أقرب إلى التأثير منه + +245 +00:27:46,680 --> 00:27:54,520 +إلى الخمر توهمتها فهذا التوهم أقرب إلى العالم + +246 +00:27:54,520 --> 00:27:58,760 +الروحي من العالم الواقعي يعني العالم الواقعي متحيز + +247 +00:27:58,760 --> 00:28:04,850 +في المكان والزمان والموضوع توهمتها في كأسها فكأنما + +248 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+00:30:43,610 --> 00:30:52,030 +بقايا يقين كاد يذهبه الشك يعني أيضًا أن هذه الخمر + +272 +00:30:52,030 --> 00:31:00,330 +قد فقدت ظواهرها المادية وتحولت إلى عالم روحي بمعنى + +273 +00:31:00,330 --> 00:31:10,030 +أن تأثيرها كان كبيرًا وهي بتأثيراتها وليس بـ .. + +274 +00:31:10,030 --> 00:31:17,350 +بمتحيزاتها ومحرزاتها الواقعية فهي من الناحية + +275 +00:31:17,350 --> 00:31:24,590 +الواقعية قد خفيت يعني خفيت كل المظاهر المادية وقد + +276 +00:31:24,590 --> 00:31:30,970 +خفيت من لطفها فكأنها بقايا يقين كاد يذهبه الشك يعني + +277 +00:31:30,970 --> 00:31:40,650 +ما تبقى منها شيء من اليقين فقط حتى إن الشك كاد أن + +278 +00:31:40,650 --> 00:31:49,070 +يذهب بهذا اليقين المحدود أيضًا + +279 +00:31:49,070 --> 00:31:54,530 +وجدنا أبو تمام يتعمق الاعتزال مما يدل على أن هذه + +280 +00:31:54,530 --> 00:31:58,750 +الظاهرة، ظاهرة الاعتزال كان لها تأثير واسع عند + +281 +00:31:58,750 --> 00:32:04,550 +الشعراء وليس حالة معينة عند شاعر من الشعراء فإذا + +282 +00:32:04,550 --> 00:32:13,410 +كان بشار و أبو نواز يصدران عن فكر معارض للمعتزلة + +283 +00:32:13,410 --> 00:32:20,130 +فإن أبا تمام كان يتعمق في الاعتزال وقد لاحظ ذلك الآمدي + +284 +00:32:20,130 --> 00:32:29,440 +فقال إن شعره يعجب أصحاب الفلسفة فقد وردت ألفاظهم في + +285 +00:32:29,440 --> 00:32:36,240 +شعره يقولوا في هجاء شخص هبما له شيء يريد حجابه ما + +286 +00:32:36,240 --> 00:32:42,280 +باله لا شيء عليه حجابه طبعًا يريد أن يثبت صفة إيه + +287 +00:32:42,280 --> 00:32:46,880 +البخل عند هذا الإنسان من خلال مهارات إسلوبية + +288 +00:32:46,880 --> 00:32:50,540 +وتعبيرية + +289 +00:32:50,540 --> 00:32:57,580 +أيضًا فقال من ناحية التعبيرية اللي هو أنه وضع هذا + +290 +00:32:57,580 --> 00:33:03,220 +المعنى ضمن نقاش فكري، هب، افترض، ما له شيء، يعني + +291 +00:33:03,220 --> 00:33:09,920 +الإنسان عنده شيء ممكن أن يحجبه عن الآخرين حتى لا + +292 +00:33:09,920 --> 00:33:14,780 +يكون مطمعاً لهم أو يحسدونه عليه، ممكن أن يضع + +293 +00:33:14,780 --> 00:33:20,890 +حجاباً هذا المفترض يعني شيء عقلي، مقبول عقليًا لكن + +294 +00:33:20,890 --> 00:33:30,440 +الذي لا يُقبل عقلاً أن نضع حجاباً على لا شيء طبعًا + +295 +00:33:30,440 --> 00:33:37,500 +أبو تمام استعمل طريقة ال .. ال .. الطريقة المنطقية + +296 +00:33:37,500 --> 00:33:43,260 +الفكرية في النقاش على طريقة علماء الكلام الشيء + +297 +00:33:43,260 --> 00:33:52,040 +الثاني أنه استعمل إيه ألفاظ المعتزلة وهو لا شيء ما + +298 +00:33:52,040 --> 00:33:58,770 +باله لا شيء، لا شيء بمعنى العدم عند المعتزلة استعمل + +299 +00:33:58,770 --> 00:34:04,310 +هذا المصطلح أيضًا نراه طبعًا يستعمل مهارات أسلوبية + +300 +00:34:04,310 --> 00:34:11,970 +مثلًا فمثلًا استعمل الاسم بدل الوصف همل له شيء + +301 +00:34:11,970 --> 00:34:17,390 +يريد حجابه يعني يريد إحجابه فأقام الاسم مقام + +302 +00:34:17,390 --> 00:34:22,880 +الموصوف طبعًا المصدر أقرب إلى الفعل، الاسم أبعد، + +303 +00:34:22,880 --> 00:34:26,560 +الاسم إيه أثبت، فيريد إيه إثبات هذه الصفة، فاختار + +304 +00:34:26,560 --> 00:34:32,480 +إيه الاسم اللي هو حجاب بدل إيه المصدر ليعمق + +305 +00:34:32,480 --> 00:34:39,900 +المعنى، ليثبت هذه الصفة، الصفة دي البخل، وأنها صفة + +306 +00:34:39,900 --> 00:34:49,420 +مطبوعة، طبعا الشعراء يتجهون إلى وصف الصفات بأنها + +307 +00:34:49,420 --> 00:34:56,860 +إيه؟ في المدح مثلا، بأنها نابعة من إرادة حرة، طيب، + +308 +00:34:56,860 --> 00:35:03,240 +في البخل أو في تقبيح القبيح يحاولون إخباط الصفات + +309 +00:35:03,240 --> 00:35:09,280 +القبيحة بأنها بأنها مطبوعة في نفوس أصحابها + +310 +00:35:09,280 --> 00:35:14,500 +فيستعملوا مهارات كثيرة للتعبير عن إيه هذا المعنى + +311 +00:35:14,500 --> 00:35:21,000 +وكل عصر له إيه إمكاناته له إمكاناته التعبيرية + +312 +00:35:21,000 --> 00:35:27,580 +التي يستمدها من المستوى اللغوي ومن التعبير + +313 +00:35:27,580 --> 00:35:32,880 +المستعمل ومن المصطلحات التي تنشأ بفضل التطور + +314 +00:35:32,880 --> 00:35:41,100 +الفكري والعقلي أيضًا نلاحظ أن أبا كمام يستعمل ألفاظ + +315 +00:35:41,100 --> 00:35:47,280 +العموم والخصوص في المدح مثلًا لن ينال العلا خصوصًا + +316 +00:35:47,280 --> 00:35:54,000 +من الفتيان من لم يكن نداه عمومًا فالعموم في السلوك + +317 +00:35:54,000 --> 00:35:58,320 +يؤدي إلى الخصوصية + +318 +00:35:58,320 --> 00:36:04,060 +في الأخلاق يعني التمييز الأخلاقي يكون بالعموم + +319 +00:36:04,060 --> 00:36:12,190 +السلوكي في الكلام مثلا عموم العطاء يعني طبعا العموم + +320 +00:36:12,190 --> 00:36:18,690 +يعني الاستغراق الزمني والمكاني والموضوعي يعني يعطي + +321 +00:36:18,690 --> 00:36:26,750 +صيفا وشتاء يطعموا ينفقوا صيفا وشتاء زمني أو ليلا + +322 +00:36:26,750 --> 00:36:36,420 +ونهارا هو أيضا مكاني شرقا وغربا غورا ونجدابرا وبحر + +323 +00:36:36,420 --> 00:36:42,140 +موضوعي في حالتي العصي واليسئة كلمة عموما عن + +324 +00:36:42,140 --> 00:36:47,280 +استغراق للجانب السلوكي في أبعاده الزمنية والمكانية + +325 +00:36:47,280 --> 00:36:53,460 +والموضوعية فهذه هي التي تحقق النموذجية يعني أن + +326 +00:36:53,460 --> 00:36:58,880 +يكون خاصا لن ينال العلا خصوصا يعني هذه التي يعطي + +327 +00:36:58,880 --> 00:37:06,720 +صفة التميز الذي يعطي صفة تميز هو عموم إيه العطاء + +328 +00:37:06,720 --> 00:37:10,740 +فلفظ + +329 +00:37:10,740 --> 00:37:15,260 +العموم والخصوص من ألفاظ المنطقين وطبعا أبو تمام + +330 +00:37:15,260 --> 00:37:24,380 +وضع المعنى بين هذين المصطلحين ليعمق إيه المعنى بأن + +331 +00:37:24,380 --> 00:37:29,540 +وضع بأن جعله بين ضدين العموم والخصوص كذلك + +332 +00:37:29,540 --> 00:37:34,220 +ألفاظ الجوهر + +333 +00:37:34,220 --> 00:37:39,460 +والعرض طبعاً هذه من ألفاظ الفلاسفة والمتكلمين + +334 +00:37:39,460 --> 00:37:48,090 +والجوهر أثبت من العرض فقال يمدح صاغهم ذو الجلال من + +335 +00:37:48,090 --> 00:37:54,410 +جوهر المجد وصاغ الأنامة من عرضه طبعا يمدح الممدوح + +336 +00:37:54,410 --> 00:38:00,110 +بأن الله سبحانه وتعالى خلقهم من جوهر المجد بينما + +337 +00:38:00,110 --> 00:38:06,070 +خلق الآخرين من العرض الشيء الذي يعني لا يبقى طويلا + +338 +00:38:06,070 --> 00:38:16,870 +في الزمن وينتهي بسرعة أيضًا وظّف يعني أسماء أو + +339 +00:38:16,870 --> 00:38:23,910 +أعلام المذاهب الفكرية في هذا العصر وطبعًا من أهم + +340 +00:38:23,910 --> 00:38:28,310 +المذاهب الفكرية التي كانت في هذا العصر هي المعتزلة + +341 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وليس من نافلة القول أو من نافلة الفعل + +353 +00:39:44,890 --> 00:39:52,810 +كما قال أبو تمام في سياق آخر ولا آتيك إلا فريضة + +354 +00:39:52,810 --> 00:40:00,050 +وآتي جميع الناس إلا تنفلا ولهذا + +355 +00:40:00,050 --> 00:40:09,390 +ينبغي على المسلم أن يجعل من السُنن .. من السُنن ما + +356 +00:40:09,390 --> 00:40:15,710 +هي فريضة في حقه تعظيمًا لله سبحانه وتعالى فصيام + +357 +00:40:15,710 --> 00:40:21,650 +الاثنين والخميس سُنة فهو يجعلها فريضة عليه مع أنها + +358 +00:40:21,650 --> 00:40:26,730 +سُنة ويقر بذلك ويعتقل بذلك لكنه يراها إيه واجبة + +359 +00:40:26,730 --> 00:40:28,150 +عليه تعظيمًا لله + +360 +00:40:32,580 --> 00:40:39,060 +أيضًا استعمل أبو تمام الجهمية + +361 +00:40:39,060 --> 00:40:44,340 +في وصف الخمر، جهمية الأوصاف، إلا أنهم قد لقبوها + +362 +00:40:44,340 --> 00:40:49,120 +جوهر الأشياء، جهمية يعني وصلت من الصفات ما لا يمكن + +363 +00:40:49,120 --> 00:40:53,840 +وصفه، فالجهمية تنكرها، تنفي الصفات عن الله سبحانه + +364 +00:40:53,840 --> 00:40:58,790 +وتعالى، حتى لا يشابه المخلوق، فقال جهمية الأوصاف + +365 +00:40:58,790 --> 00:41:05,550 +يعني أنها لا توصف لشدة جمالها بحيث أنها فوق المدرك + +366 +00:41:05,550 --> 00:41:11,530 +العقلي أيضًا + +367 +00:41:11,530 --> 00:41:18,670 +استعمل لغة التضاد فقال + +368 +00:41:18,670 --> 00:41:22,710 +في وصف المحبوبة بيضاء تسلي في الظلام فيكسي نورا + +369 +00:41:22,710 --> 00:41:30,900 +وتسرب في الضياء فيظلمه وأيضًا قال وَلِهَتْ فأظلم كل + +370 +00:41:30,900 --> 00 \ No newline at end of file diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg_raw.json b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..20f76ed1e71318e171e4eeb4f5aa6e898ee4aded --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2785, "start": 4.89, "end": 27.85, "text": "بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد وعلى آله وصحبه وسلم تسليم الكثيرة أما بعد موضوع هذه المحاضرة تأثير المعتزلة في 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وأعطاه حرية الإرادة ف .. فمن أحسن فله إيه؟ فله الجزائر الحسن ومن أساء و أجرم فله إيه؟ العقاب", "tokens": [5172, 9778, 13546, 33688, 1863, 3794, 7649, 36725, 3615, 9566, 40294, 11331, 2288, 10632, 33688, 2288, 18513, 3660, 6156, 4386, 6156, 27842, 5551, 5016, 3794, 1863, 6156, 43761, 11933, 1829, 3224, 22807, 6156, 43761, 25724, 11622, 16373, 2288, 21542, 3794, 1863, 4032, 27842, 5551, 3794, 16606, 4032, 5551, 7435, 2288, 2304, 6156, 43761, 11933, 1829, 3224, 22807, 18863, 4587, 16758], "avg_logprob": -0.13089138953412166, "compression_ratio": 1.5666666666666667, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1508.01, "end": 1508.67, "word": "فخير", "probability": 0.8771158854166666}, {"start": 1508.67, "end": 1509.27, "word": " الإنسان", "probability": 0.993896484375}, {"start": 1509.27, "end": 1509.75, "word": " وأعطاه", "probability": 0.8582763671875}, {"start": 1509.75, "end": 1510.07, "word": " حرية", "probability": 0.83837890625}, {"start": 1510.07, "end": 1510.89, 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0000000000000000000000000000000000000000..e44eb4c8ffa6c6d4036ecba5f5802e22acb397d5 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/kSV1fPEupAg_raw.srt @@ -0,0 +1,1529 @@ +1 +00:00:04,890 --> 00:00:08,870 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,870 --> 00:00:14,170 +وعلى آله وصحبه وسلم تسليم الكثيرة أما بعد موضوع + +3 +00:00:14,170 --> 00:00:18,790 +هذه المحاضرة تأثير المعتزلة في الشعر العباسي + +4 +00:00:18,790 --> 00:00:25,510 +الحقيقة أن المعتزلة كان لهم تأثير كبير في مجريات + +5 +00:00:25,510 --> 00:00:30,330 +الحياة العقلية في هذا العصروتعتبر هذه البيئة بيئة + +6 +00:00:30,330 --> 00:00:35,410 +معتدلة +من أهم البيئات الثقافية والمذهبية التي أعطت + +7 +00:00:35,410 --> 00:00:41,230 +للعقل العربي حضورة في الشعر العربي وفي الحياة عامة + +8 +00:00:41,230 --> 00:00:48,530 +وفي مجالات كثيرة سواء كانت المعارف أو العلوم أو + +9 +00:00:48,530 --> 00:00:53,950 +المذاهب الدينية وغير ذلكأما في الشعر فقد كان لها + +10 +00:00:53,950 --> 00:00:59,310 +تأثير كبير من حيث أنها أمدت الشعر العربي بالألفاظ + +11 +00:00:59,310 --> 00:01:05,330 +والمصطلحات التي استغنى بها الشعر عن التعبير + +12 +00:01:05,330 --> 00:01:10,790 +المباشر فعمقت المعاني وأطلقت الخيال إلى درجة عالية + +13 +00:01:10,790 --> 00:01:15,930 +أكثر مما كان عليه في العصور السابقة كما أحدثت + +14 +00:01:15,930 --> 00:01:21,470 +اتجاهات في الشعر العباسي في هذه الفترةفوجدنا من + +15 +00:01:21,470 --> 00:01:29,990 +يعارض ومن يؤيد المعتزلة نبدأ بتمجيد العقل عند + +16 +00:01:29,990 --> 00:01:37,250 +المعتزلة كما أشار بشر ابن المعتمر أحد أكبر شعراء + +17 +00:01:37,250 --> 00:01:44,630 +المعتزلة فقال لله دروا العقل من رائد وصاحب في + +18 +00:01:44,630 --> 00:01:51,050 +العسري واليسريوحاكم يقضي على غائب قضية الشاهد + +19 +00:01:51,050 --> 00:01:56,310 +للأمر، وإن شيئا بعض أفعاله أن يفسل الخير من الشر + +20 +00:01:56,310 --> 00:02:02,670 +لذوقوا قد خصه ربه بخالص التقديس والطهرطبعًا هنا في + +21 +00:02:02,670 --> 00:02:07,010 +مدح يمدح العقل «لله درّه العقلي» من رائد من قائد + +22 +00:02:07,010 --> 00:02:12,470 +يقود إلى وضع الأهداف فالعقل هو الذي يضع الأهداف + +23 +00:02:12,470 --> 00:02:20,990 +السامية والأهداف المناسبة ويستعمل الوسائل التي + +24 +00:02:20,990 --> 00:02:27,110 +تحقق هذا الهدف فقال وصاحب في اجتماع كلمة رائد + +25 +00:02:27,110 --> 00:02:34,770 +وصاحبيدل على أن هناك خلافا بينهما اختلاف كلمة رائد + +26 +00:02:34,770 --> 00:02:41,550 +و صاحب رائد يعني تقود إلى وضعه الهدف صاحب يضع + +27 +00:02:41,550 --> 00:02:46,710 +الوسائل التي يتحقق منها الهدف أو يتحقق بها الهدف + +28 +00:02:46,710 --> 00:02:53,730 +في العسري و اليسري فالعقل هو الذي يعني يختار السيء + +29 +00:02:53,730 --> 00:02:59,370 +من الأسوأ في حالة العسريختار العقل السيء على + +30 +00:02:59,370 --> 00:03:06,350 +الأسوأ أما في اليسري فيختار الأحسن على الحسن وحاكم + +31 +00:03:06,350 --> 00:03:11,570 +يقضي على غائب قضية الشاهد الأمري فالعقل هو الذي + +32 +00:03:11,570 --> 00:03:20,110 +يوصل المقدمات إلى نتائج يعني العقل هو الذي يصل إلى + +33 +00:03:20,110 --> 00:03:25,490 +أو يساعد على تحقيق النتيجة من المقدمات والحيثيات + +34 +00:03:26,230 --> 00:03:31,030 +وحاكم يقضي على غائب ما هو الشاهد وما هو الغائب + +35 +00:03:31,030 --> 00:03:36,670 +الشاهد المقدمات والدلائل أو الأدلة أو البراهين أما + +36 +00:03:36,670 --> 00:03:42,470 +الغائب فهو النتيجة فالعقل يقود إلى الوصول إلى + +37 +00:03:42,470 --> 00:03:49,210 +النتيجة فهو فهو الذي يحقق الهدف والغاية من خلال + +38 +00:03:49,210 --> 00:03:54,350 +إيه المقدماتذلك أن العقل ينتقل من المقدمات إلى + +39 +00:03:54,350 --> 00:03:59,910 +النتائج عبر علاقات منطقية علاقة السبب ونتيجة + +40 +00:03:59,910 --> 00:04:06,290 +واللازم والملزوم والعام والخاص والجزء والكل فهذه + +41 +00:04:06,290 --> 00:04:10,650 +العلاقات يتحرك فيها العقل من المقدمة إلى النتيجة + +42 +00:04:10,650 --> 00:04:16,510 +يربط بين المقدمات والنتائجوإن شأن بعض أفعاله أن + +43 +00:04:16,510 --> 00:04:22,110 +يفصل الخير من الشر يعني من يقوم بالفصل بين الخير + +44 +00:04:22,110 --> 00:04:29,830 +والشر هو يعني يحقق أعظم الوظائف وأفضل الأعمال فهو + +45 +00:04:29,830 --> 00:04:37,150 +يستحق أجمل الصفات ولذلك قد خصه ربه بخالص التقديس + +46 +00:04:37,150 --> 00:04:42,100 +والطهرفالعقل إذًا من أفضل النعم التي أنعمها الله + +47 +00:04:42,100 --> 00:04:47,220 +على الإنسان أيضًا + +48 +00:04:47,220 --> 00:04:52,220 +كما قلنا أن المعتذلة أحدثوا اتجاهات عند الشعراء + +49 +00:04:52,220 --> 00:04:57,860 +فبعض الشعراء كان يظهر عن فكر مخالف للمعتذلة كما + +50 +00:04:57,860 --> 00:05:05,370 +فعل بشارحين عرضه واصل من عطاء في .. في فكرة + +51 +00:05:05,370 --> 00:05:12,470 +المعتذلة وهو .. وهي أن الإنسان حر أو حريق الإرادة + +52 +00:05:12,470 --> 00:05:22,330 +الإنسانية فبشار يقول أنه مسير مجبور وليس مخير فلو + +53 +00:05:22,330 --> 00:05:29,050 +خير لكان يعني أحسن إنسان لكان مهذبا خالي من العيوب + +54 +00:05:29,870 --> 00:05:36,730 +فقال طبعت على ما في غير مخير هوايا ولو خيرت كنت + +55 +00:05:36,730 --> 00:05:42,670 +المهذبة أريد فلا أعطى وأعطى ولم أرد ويقصر علمي أن + +56 +00:05:42,670 --> 00:05:49,870 +أنا للمغيّبة فأصرف عن قصدي وعلمي مقصر وأمسي وما + +57 +00:05:49,870 --> 00:05:56,900 +أعقبت إلا التعجبة نجد أن بشار هنا يخالفالمعتزلة + +58 +00:05:56,900 --> 00:06:02,720 +التي تقول بحرية الإرادة الإنسانية طبعت على ما في + +59 +00:06:02,720 --> 00:06:08,400 +غير مخيرا أنا مطبوع مجبول على هذه الصفات وجدت معي + +60 +00:06:08,400 --> 00:06:16,060 +منذ الخلق الأول فلو كنت مخيرا لأخترت أن أكون خاليا + +61 +00:06:16,060 --> 00:06:24,160 +من العيوب ومما يظل على أنني مطبوع أنني أريد أشياء + +62 +00:06:24,160 --> 00:06:30,960 +فلا أعطاهاوأعطى أشياء لم أريدها كما أنني في علمى + +63 +00:06:30,960 --> 00:06:37,980 +مقصر أو علمى محدود لا أعلم الغيب ولو كنت أعلم + +64 +00:06:37,980 --> 00:06:44,280 +الغيب لستكثرت من الخير فأصرف عن قصدي أحيانا يكون + +65 +00:06:44,280 --> 00:06:51,560 +قصدي أن أذهب إلى مكان ما فينصرف إلى مكان آخرحتى + +66 +00:06:51,560 --> 00:06:57,820 +إذا جاء المساء ونظرت إلى أفعال التي عملتها في هذا + +67 +00:06:57,820 --> 00:07:04,800 +اليوم لا أصل إلا إلى التعجب لأن هناك أشياء حصلت + +68 +00:07:04,800 --> 00:07:10,980 +دون إيرادتي وأردت أشياء أو أفعال لم أتحصل عليها + +69 +00:07:10,980 --> 00:07:20,700 +كذلك ساعدتالمعتذلة الشعراء بما فتقته من تشعبات + +70 +00:07:20,700 --> 00:07:28,280 +وتولدات للمعاني وإعادة إنتاج صور مثيرة للدهشة + +71 +00:07:28,280 --> 00:07:39,020 +والإعجاب فالليل في الشعري الجاهليعُبّر عنه بطول + +72 +00:07:39,020 --> 00:07:45,740 +في مثل قول مليء القيس فيالك من ليل كأن نجومه بكل + +73 +00:07:45,740 --> 00:07:56,520 +مغاري الفتن شدت بيزبول استعمل التشبيه بكأن لدلالة + +74 +00:07:56,520 --> 00:08:05,070 +أو لتشبيه الليل بوقوفه وعدم الحركةفي جبل يذبل في + +75 +00:08:05,070 --> 00:08:14,010 +نجد حيث ربطت هذه النجوم التي تتحرك وتحدد سير الليل + +76 +00:08:14,010 --> 00:08:19,250 +ربطت في يذبل جبل في نجد فكأن هذا الليل لا يتحرك + +77 +00:08:19,250 --> 00:08:25,950 +لأن الليل وإن كانحركة زمانية إلا أنه مرتبط بحركة + +78 +00:08:25,950 --> 00:08:30,410 +المكان وهي حركة النجوم فالنجوم هي التي تحدد الزمن + +79 +00:08:30,410 --> 00:08:39,630 +فهذه النجوم لا تتحرك إذا الزمن يقف فقال أو فعبّر + +80 +00:08:39,630 --> 00:08:48,620 +عن طول الليلالذي طبعًا يعبّى عن قلقه بأن نجومه قد + +81 +00:08:48,620 --> 00:08:57,980 +ربطت بحبال قوية في جبل يزبل بالدلالة على الثبات + +82 +00:08:57,980 --> 00:09:03,680 +وأنه لا يتحرك إلى النهاية أما + +83 +00:09:03,680 --> 00:09:09,160 +الشاعر العباسى بشار ميبورد فإنه لم يستعمل التشبيه + +84 +00:09:10,560 --> 00:09:15,280 +في التعبير عن طول الليل المعبّع عن قلقه بل استعمل + +85 +00:09:15,280 --> 00:09:23,160 +السؤال الملحق بمثل قوله خَلِلَيَّ مَابَالُ + +86 +00:09:23,160 --> 00:09:28,340 +الدِّجَا لَيْسَ يَبْرَحُ ومَابَالُ ضَوْقُ الصُبْحِ + +87 +00:09:28,340 --> 00:09:35,720 +لَيَتَوَضَّحُ فهذا السؤال أشرك طرفا ثالثاوهو + +88 +00:09:35,720 --> 00:09:40,840 +أصحابه أشرك أصحابه في التجربة في تجربة طول الليل + +89 +00:09:40,840 --> 00:09:47,560 +جلب طرفا ثالثا من خلال السؤال وأحدث حركة زاخرة + +90 +00:09:47,560 --> 00:09:56,560 +خليلي ما بال الدجا فإثارة السؤال أثرت معها مجموعة + +91 +00:09:56,560 --> 00:10:03,400 +من الإجاباتفأحدثت حركة عقلية وحركة تخيلية خلي لي + +92 +00:10:03,400 --> 00:10:09,420 +ما بال الدجا ليس يبرعهم لماذا الليل لا يتحرك؟ + +93 +00:10:09,420 --> 00:10:19,980 +ولماذا ضوء الصبح لا يظهر؟ هل ظهرت مصيبة؟ هل ظهرت + +94 +00:10:19,980 --> 00:10:30,030 +أو وقعت؟بلية، هل تغير نظام الكون؟ فهذه الأسئلة أو + +95 +00:10:30,030 --> 00:10:33,910 +هذه التساؤلات أحدثت مجموعة هائلة من الإجابات + +96 +00:10:33,910 --> 00:10:40,770 +والأفكار طبعاً هذه يعني أدت إلى إحداث حركة عقلية + +97 +00:10:40,770 --> 00:10:47,160 +وحركة أيضاً تخيّلية عند المتلقىخلليا ما بالوا + +98 +00:10:47,160 --> 00:10:52,340 +الدجا ليس يبرحوا وما بالوا طوأ الصبح لا يتوضحوا + +99 +00:10:52,340 --> 00:10:56,960 +والشعر الجيد هو الذي يحدث تخييلا في المتلقى + +100 +00:10:56,960 --> 00:11:00,080 +وتفكيرا + +101 +00:11:00,080 --> 00:11:08,420 +تأمليا وارتقائيا وهذا ما كان من شعري بشارأو قوله، + +102 +00:11:08,420 --> 00:11:12,400 +خلّي ليّ مابالو الدجا ليس يبرحوا ومابالو ضوء الصبح + +103 +00:11:12,400 --> 00:11:20,120 +لا يتوضحوا فهو خيال زاخم بالحركة وأحدث أيضًا + +104 +00:11:20,120 --> 00:11:29,560 +تخيّلات كثيرة وحركة الفكر أو العقل حركات كثيرة من + +105 +00:11:29,560 --> 00:11:35,220 +خلال هذا السؤال الذي يستدعي إجابات وتخيّلات كثيرة + +106 +00:11:36,770 --> 00:11:43,590 +كذلك قال في اسل فراقي إحدى صواحبه كأن جفونه سُملت + +107 +00:11:43,590 --> 00:11:50,350 +بشوك فليس لوسنة فيها قراره أقول وليلتي تزدادوا + +108 +00:11:50,350 --> 00:11:56,510 +طولا أما للليل بعدهم نهاره جفت عيني عن التغميد حتى + +109 +00:11:56,510 --> 00:12:02,860 +كأن جفونها عنها قصارهاستعمل صحيح التشبيه، لكنه + +110 +00:12:02,860 --> 00:12:10,160 +أيضًا استعمل السؤال الملح، أما للليل بعدهم نهاره، + +111 +00:12:10,160 --> 00:12:18,620 +هنا جلب طرفًا ثالثًا، وهو المسئول، + +112 +00:12:18,620 --> 00:12:29,730 +عنده شائل ومسئول ومسئول عنهفهذا أنضج التجربة ووسع + +113 +00:12:29,730 --> 00:12:36,090 +الفكر وأثار الحركة الفكرية والحركة التخيلية لأن + +114 +00:12:36,090 --> 00:12:43,370 +الخيال هو يحتاج العقل صحيح لكنه يفارقه الخيال يسمو + +115 +00:12:43,370 --> 00:12:48,290 +على العقل وإن كان ينطلق من العقل إلا أنه يسمو على + +116 +00:12:48,290 --> 00:12:52,670 +العقل لأن الخيال مرتبط بالمعنى الإنساني، بعالم آخر + +117 +00:12:53,330 --> 00:12:58,350 +ليس العالم الطبيعي، إنما هو العالم الإنساني، ما + +118 +00:12:58,350 --> 00:13:02,130 +وراء الطبيعة، الذي يعبّر عنه أحيانًا بالـ + +119 +00:13:02,130 --> 00:13:07,910 +Metaphysica، ما وراء الطبيعة.فالشعر هنا استعمل + +120 +00:13:07,910 --> 00:13:13,570 +أيضًا السؤال وطبعًا أحدث أيه يعني حراكًا فكريًا في + +121 +00:13:13,570 --> 00:13:20,570 +العقل وأيضًا ولد أيه صورة جميلة رائعة يعني منتزعة + +122 +00:13:20,570 --> 00:13:27,810 +من هذه الروح الجديدة التي نبتت في هذا العصر في + +123 +00:13:27,810 --> 00:13:33,070 +قوله كأن جفونها عنها قصاره كأن جفون العين قصيرة + +124 +00:13:35,130 --> 00:13:41,950 +أيضًا من البرعتي في التعليل أيضًا أنه يستعمل في + +125 +00:13:41,950 --> 00:13:46,710 +نقض المعنى على شكلة المتكلمين يعني كأنه إيه ينقض + +126 +00:13:46,710 --> 00:13:53,790 +المعنى السابق ويقول لا الليل ليس طويلًا إنما أنا + +127 +00:13:53,790 --> 00:14:00,890 +لم أنم الليل ليس طويل أنا مانمتش لم أنم طبعًا هذا + +128 +00:14:00,890 --> 00:14:06,210 +إيه يعمق التجربةهو نقض المعنى السابق، لكنه عمّق + +129 +00:14:06,210 --> 00:14:11,310 +المعنى أيضًا، ونقلنا إلى تجربة عميقة، لم يطول + +130 +00:14:11,310 --> 00:14:18,490 +ليلي، ولكن لم أنم، ونفى عني الكرى طيف ألم، الليل + +131 +00:14:18,490 --> 00:14:22,590 +ليس طويلًا، لم يطول ليلي، يعني الليل ليس طويلًا، + +132 +00:14:22,590 --> 00:14:29,930 +لكن أنا لم أنم، أنا ما نمتش،ونفع عني إنهم طيف + +133 +00:14:29,930 --> 00:14:37,570 +المحبوبة، خيال الحبيبة، نزل على عقلي، فسيطر على كل + +134 +00:14:37,570 --> 00:14:43,530 +مشاعري وأحاسيسي، فالليل ليس طويل، طبعا قبل قليل + +135 +00:14:43,530 --> 00:14:47,670 +كان يقول الليل طويل، وطبعا يعبّع عن القلق هنا، + +136 +00:14:47,670 --> 00:14:54,930 +وقال لأ نقض المعنى، وقال لم يطول ليليولكن لم أنام، + +137 +00:14:54,930 --> 00:15:01,030 +يعني الموضوع مني أنا، انا لست .. او انا لم أنام في + +138 +00:15:01,030 --> 00:15:07,250 +هذا الليل، لماذا؟ لأن طيف الحبيبة أو خيال المحبوبة + +139 +00:15:07,250 --> 00:15:15,940 +نزل علي وسيطر على كل مشاعريأيضًا من ال .. ال .. + +140 +00:15:15,940 --> 00:15:22,120 +النشاط العقلي والفكري الذي أحدثته المعتزلة تقريب + +141 +00:15:22,120 --> 00:15:25,960 +المعاني والاحتيال عليها للتوليد والتفريع في مثل + +142 +00:15:25,960 --> 00:15:33,420 +قوله قول بشار وعي الفعالي كعي المقالي وفي الصمت عي + +143 +00:15:33,420 --> 00:15:40,800 +كعي الكلمة العي هو المرض أو العيب وعي الفعالي يعني + +144 +00:15:40,800 --> 00:15:48,100 +السلوكفي السلوك في مرض وفي القول في مرض في الصمت + +145 +00:15:48,100 --> 00:15:53,460 +أيضًا في مرض في الكلام أيضًا يوجد أي مرض وإن كان + +146 +00:15:53,460 --> 00:16:01,320 +طبعًا فيها أشياء جميلة إلا أن فيها عيوب أيضًا وعي + +147 +00:16:01,320 --> 00:16:07,840 +الفعالي كعي المقال وفي الصمت عي كعي الكلمة الصمت + +148 +00:16:07,840 --> 00:16:14,890 +قد يكون بليغاكما قال المتنبي وفي النفس حاجات وفيك + +149 +00:16:14,890 --> 00:16:23,010 +فطانة سكوت بيان عندها وخطابه قد يكون فيه عيب وفي + +150 +00:16:23,010 --> 00:16:31,010 +الصمت عيب كعيب الكلام أيضا كما قال الزهاد سابقا + +151 +00:16:31,010 --> 00:16:38,010 +إذا أعجبك الكلام فاصمت وإذا أعجبك الصمت فتكلم + +152 +00:16:41,120 --> 00:16:45,900 +هذا بشار أيضًا هذه الظاهرة موجودة عند غيره من + +153 +00:16:45,900 --> 00:16:52,880 +الشعراء فأبو نواس مثلًا يعني ظافر بأكثر مما ظافر + +154 +00:16:52,880 --> 00:16:59,140 +به بشار ففي أشعاره سيول من مصطلحات المعتزلة + +155 +00:16:59,140 --> 00:17:07,600 +وألفاضهم وأفكارهم مثل فكرة التولدو .. و هي الفعل + +156 +00:17:07,600 --> 00:17:13,480 +الذي ينشأ عن فعل آخر دون قصد هذه الفكرة .. فكرة + +157 +00:17:13,480 --> 00:17:20,840 +التولد استعملها الشاعر في الغزل في تجميل صورة + +158 +00:17:20,840 --> 00:17:30,760 +المحبوبة فهذه المحبوبة فيها محاسن كاملة صفات وصلت + +159 +00:17:30,760 --> 00:17:39,360 +إلى الكمالوهناك صفات تتجدد يريد أن يصف المحبوب بأن + +160 +00:17:39,360 --> 00:17:49,160 +.. بأن صفاتها وصلت إلى الكمال ولم يقف عند ذلك لأنه + +161 +00:17:49,160 --> 00:17:55,280 +لو كانت وصلت إلى الكمال فقط تتحول الصورة إلى نمطية + +162 +00:17:55,280 --> 00:18:01,020 +ولكنه يريد أن يضيف شيء آخر مع الجمال وهو الإحساس + +163 +00:18:01,020 --> 00:18:06,990 +بهيعني يريد أن يُعبّى عن الجمال والإحساس بالجمال + +164 +00:18:06,990 --> 00:18:14,050 +الجمال في أن المحبوبة وصلت إلى صفات الكمال في + +165 +00:18:14,050 --> 00:18:22,030 +الحُسم الشيء التاني أن هناك صفات تتولد وتتنوع + +166 +00:18:22,390 --> 00:18:31,790 +فالتنوع والتجدد يعطينا إحساس بالجمال فإذا إيه هذه + +167 +00:18:31,790 --> 00:18:39,050 +الفكرة يعني أضافت أو عمقت التجربة التجربة الجمال + +168 +00:18:39,050 --> 00:18:47,270 +بالإحساس بهوكأن المحبوبة فيها صفات الجمال وأيضًا + +169 +00:18:47,270 --> 00:18:54,470 +الإحساس بالجمال من ذلك أيضًا فكرة الجذء الذي لا + +170 +00:18:54,470 --> 00:18:58,590 +يتجزأ أو فكرة الجوهر الفرد وهذه طبعًا من أفكار + +171 +00:18:58,590 --> 00:19:06,950 +معتدلة وظّفها أبو نواس في الغزل فقال يصف المحبوبة + +172 +00:19:06,950 --> 00:19:14,410 +أو يصف موقفه وما حصل لهفي تجربته العاطفية قال تركت + +173 +00:19:14,410 --> 00:19:25,490 +مني قليلا من القليل أقل يكاد لا يتجزى أقل في اللفظ + +174 +00:19:25,490 --> 00:19:33,190 +من لا من لا تركت مني قليلا طبعا هنا يخاطب المحبوبة + +175 +00:19:33,190 --> 00:19:37,850 +بصيغة المذكر تلطفا وتداعبا + +176 +00:19:40,370 --> 00:19:46,630 +فلا يظننا أحد أن المقصود هنا إيه التغذب بالمذاكر + +177 +00:19:46,630 --> 00:19:53,490 +كما يذهب بعض المستشريقين لأ هنا تلطفا و تداعبا و + +178 +00:19:53,490 --> 00:20:00,290 +تظرفا يستعمل الأسلوب المذاكر في خطابي المؤنث تركت + +179 +00:20:00,290 --> 00:20:06,390 +مني قليلا طبعا المحب في قصيدة الغذل إما أن يكون + +180 +00:20:06,390 --> 00:20:14,350 +قتيلا أو جريحاأو مريضا أو مجنونا وهذا طبعا هنا + +181 +00:20:14,350 --> 00:20:22,170 +عبّر عنه بإيه القلة بأنه قليل تركت مني قليلا من + +182 +00:20:22,170 --> 00:20:30,190 +القليل أقل أقل شيء القليل طبعا أقل القليل عند + +183 +00:20:30,190 --> 00:20:39,100 +المعتدل لم يحددلكن أبا نواز حدده ب .. بأن .. بلفظ + +184 +00:20:39,100 --> 00:20:45,800 +لا أقل شيء في الألفاظ لا قال يكاد لا يتجزى أقل في + +185 +00:20:45,800 --> 00:20:52,240 +اللفظ من لا من لا لا أقل شيء في اللفظ أقل شيء في + +186 +00:20:52,240 --> 00:20:59,780 +الألفاظ اللي هو لا يقال أن النظام حين سمعها قال + +187 +00:20:59,780 --> 00:21:04,680 +أنت أشعر الناس في هذا المعنىوالجزء الذي لا يتجزأ + +188 +00:21:04,680 --> 00:21:10,860 +منذ ذهننا الأول، منذ تأسيس المعتزلة، نخوض فيه ما + +189 +00:21:10,860 --> 00:21:16,890 +خرج لنا فيه من القول ما جمعت أنت فيهفي هذا البيت + +190 +00:21:16,890 --> 00:21:23,250 +ويقول في شخص يبغضه متأثرا بنظرية الكمون عند + +191 +00:21:23,250 --> 00:21:30,250 +المعتزلة وهي أن الله تعالى حين خلق الموجودات خلقها + +192 +00:21:30,250 --> 00:21:37,600 +دفعة واحدة ثم أكمنبعضها في بعض على نحو ما أكمن في + +193 +00:21:37,600 --> 00:21:45,200 +آدم أبناءه فقال أبو نواس كمنا الشنقان فيه لنا + +194 +00:21:45,200 --> 00:21:55,700 +ككمون النار في حجره طبعا يكون الإنسان شريرا بإرادة + +195 +00:21:55,700 --> 00:22:02,760 +الشر يعني بأن يكون الشر طبعا فيهيريد أن يعبر عن + +196 +00:22:02,760 --> 00:22:09,600 +ذلك فاختار نظرية الكمون للتعبير عن هذه الصفة أن + +197 +00:22:09,600 --> 00:22:19,580 +الشر مطبوع فيه وهذا طبعا أقبح شيء لأنه أصبح نموذجا + +198 +00:22:19,580 --> 00:22:25,040 +في الشر فالإنسان يكون نموذجا بأن تكون هذه الصفة + +199 +00:22:25,040 --> 00:22:32,910 +طبعا فيهثواء أكان في الشر أم في الخير فالإنسان لا + +200 +00:22:32,910 --> 00:22:39,510 +يكون كريما إلا بأن تكون لديه الإرادة الصادقة في + +201 +00:22:39,510 --> 00:22:46,230 +الكرام ولا يكون شجاعا إلا إذا كان صادقا في شجاعته + +202 +00:22:47,360 --> 00:22:52,600 +ولا يكون عفيفا إلا إذا كان صادقا في عفته أما في + +203 +00:22:52,600 --> 00:22:59,040 +الشر فيكون نموذجا في الشر شريرا بإرادة الشر لأن + +204 +00:22:59,040 --> 00:23:06,450 +يكون الشر مطموعا في نفسهوهذه هي الصفة التي يريدها + +205 +00:23:06,450 --> 00:23:15,510 +أبو نواس في وصف المهجوم كَمُنَ الشَنَآنُ فيه لنا + +206 +00:23:15,510 --> 00:23:22,370 +يعني أن الشر كامن فيه في طبعه وليس ناشئا من + +207 +00:23:22,370 --> 00:23:30,290 +المعاملةيعني الشر ليس سلوكًا، بل هو طبع فيه، فلذلك + +208 +00:23:30,290 --> 00:23:37,170 +قال كم نشنان فيه لنا ككمون النار في حجره، كما تكمن + +209 +00:23:37,170 --> 00:23:44,950 +النار في الحجرفإنها لا تظهر إلا إذا يعني ضربت + +210 +00:23:44,950 --> 00:23:51,690 +بالذناد أو ضرب الحجر إيه بالذناد فإنه يعني تخرج + +211 +00:23:51,690 --> 00:23:57,130 +إيه منه إيه النار الشرارة ثم بتتحول إلى إيه إلى + +212 +00:23:57,130 --> 00:24:02,670 +نار كما كان يفعل العرب قديما كانوا يستعملون الذناد + +213 +00:24:02,670 --> 00:24:09,080 +وهو كطعة من الحديدوزائد قطعة من الكورسوف اللي هو + +214 +00:24:09,080 --> 00:24:14,100 +القطن المبلل بالنفط وكان + +215 +00:24:14,100 --> 00:24:21,080 +طبعا أيه المعتزلة بنظرياتهم ومصطلحاتهم يمدون أيه + +216 +00:24:21,080 --> 00:24:28,500 +الشعر العربي في هذه الفترة مما عمق المعاني ووصل + +217 +00:24:28,500 --> 00:24:35,690 +الشعر إلى التعبير المريح عن المعاني التي يريدأيضًا + +218 +00:24:35,690 --> 00:24:40,990 +أحداث المعتدلة اتجاهات كما ذكرنا عند بشار الذي كان + +219 +00:24:40,990 --> 00:24:46,970 +يصدر عن فكر الجبرية نرى كذلك أبا نواس يصدر عن فكر + +220 +00:24:46,970 --> 00:24:54,720 +المجئة في حواره مع النظامطبعًا المرجعة تقول أن من + +221 +00:24:54,720 --> 00:24:59,940 +حق الله سبحانه وتعالى أن يترك وعيده لمن أجرم + +222 +00:24:59,940 --> 00:25:06,000 +وارتكب الكذاب على عكس المعتذلة التي تقول بأن الله + +223 +00:25:06,000 --> 00:25:10,890 +سبحانه وتعالى عادلفخير الإنسان وأعطاه حرية الإرادة + +224 +00:25:10,890 --> 00:25:19,450 +ف .. فمن أحسن فله إيه؟ فله الجزائر الحسن ومن أساء + +225 +00:25:19,450 --> 00:25:22,450 +و أجرم فله إيه؟ العقاب + +226 +00:25:25,570 --> 00:25:36,070 +قال أبو نواس يرد على النظام فكرته في حرية الإنسان + +227 +00:25:36,070 --> 00:25:44,970 +وقال فقل لمن يدعي في العلم فلسفة حفظت شيئا وغابت + +228 +00:25:44,970 --> 00:25:51,830 +عنك أشياه لا تحضر العفوة إن كنت مريئا حرجا فإن + +229 +00:25:51,830 --> 00:26:00,140 +حظكهفإن حضركه بالدين إزرعه لأن + +230 +00:26:00,140 --> 00:26:04,280 +منع العفو كأنك تمنع صفة من صفات الله سبحانه وتعالى + +231 +00:26:04,280 --> 00:26:07,880 +فالله + +232 +00:26:07,880 --> 00:26:17,240 +عفوه ومن أفعاله أنه يعفو فالعفو عند الله صفة وفعل + +233 +00:26:17,240 --> 00:26:26,830 +فهو يعفوإن منع هذه الصفة ومنع هذه الفعل هو إنقاذ + +234 +00:26:26,830 --> 00:26:31,030 +للدين وإخلال + +235 +00:26:31,030 --> 00:26:36,090 +بالعقيدة الإسلامية في صفات الله سبحانه وتعالى + +236 +00:26:36,090 --> 00:26:46,230 +أيضًا نجد أن المعتدلة فتقت عقل أبي نواث فإذاشعره + +237 +00:26:46,230 --> 00:26:51,430 +يتحول إلى كنز من المعاني المبتكرة والأخلة المبتدعة + +238 +00:26:51,430 --> 00:26:58,050 +يقول في وصف الخمر توهمتها في كأسها فكأنما توهمت + +239 +00:26:58,050 --> 00:27:04,590 +شيئا ليس يدركه بالعقل وصفراء أبقى الدهر مكنون + +240 +00:27:04,590 --> 00:27:10,910 +روحها وقد مات من مخبورها جوهر الكل فما يفتقد تكييف + +241 +00:27:10,910 --> 00:27:19,140 +منها إلى مدى تحد به إلا ومن قبله قبلهتوهمتها طبعا + +242 +00:27:19,140 --> 00:27:28,540 +الشاعر يريد أن ينتقل من الخمر إلى تعبير عن تأثيرها + +243 +00:27:28,540 --> 00:27:38,180 +الروحي ولذلك نجد هذه الأوصاف انما تتعلق بالجانب + +244 +00:27:38,180 --> 00:27:46,680 +التأثيريتوهمتها فكلمة توهمتها أقرب إلى التأثير منه + +245 +00:27:46,680 --> 00:27:54,520 +إلى الخمر توهمتها فهذا التوهم أقرب إلى العالم + +246 +00:27:54,520 --> 00:27:58,760 +الروحي من العالم الواقعي يعني العالم الواقعي متحيز + +247 +00:27:58,760 --> 00:28:04,850 +في المكان والزمانوالموضوع توهمتها في كأسها فكأنما + +248 +00:28:04,850 --> 00:28:11,710 +توهمت شيئًا ليس يدركه بالعقل ما هو الأشياء التي لا + +249 +00:28:11,710 --> 00:28:18,750 +تدرك بالعقل هي الصفات الروحية زي الحب الحنين الشوق + +250 +00:28:18,750 --> 00:28:24,710 +الحزن هذه أشياء روحية لا تحد بالعقل ليس يدرك + +251 +00:28:24,710 --> 00:28:31,470 +بالعقل لذلك استعمل مهارات أسلوبيةأنه استعمل كلمة + +252 +00:28:31,470 --> 00:28:37,670 +التوهمت التوهم و التوهم ليس ليس له علاقة بالواقع + +253 +00:28:37,670 --> 00:28:46,010 +إنما علاقته بعالم غير واقعي فوق المدرك العقلي أيضا + +254 +00:28:46,010 --> 00:28:52,290 +كلمة وصفراء لم يقول وخمرة مثلا إنما أقام الوصفة + +255 +00:28:52,290 --> 00:28:59,810 +مقام الاسملأن الوصف أقرب إلى العالم الروحي منه إلى + +256 +00:28:59,810 --> 00:29:05,990 +العالم المادي كلمة صفراء قريبة من أيه يعني تقرب + +257 +00:29:05,990 --> 00:29:14,370 +الخمر إلى العالم الروحي فهي وصف أقام الوصف مقام + +258 +00:29:14,370 --> 00:29:19,850 +لسم مقام الموصوف وصفراء أبقى الدهر مكنون روحها + +259 +00:29:19,850 --> 00:29:25,310 +يعني لم يتبقى منها من الخمر إلا الجانب الروحيوقد + +260 +00:29:25,310 --> 00:29:31,110 +مات من مخبورها جوهر الكل، حتى الجوهر مات واختفى، + +261 +00:29:31,110 --> 00:29:38,720 +لذلك لا مجال للعقل أن يصفويحدد ويكيّف فما يرتقط + +262 +00:29:38,720 --> 00:29:44,920 +تكييف منها إلى مدى تحد به إلا ومن قبله قبله قبل + +263 +00:29:44,920 --> 00:29:54,220 +القبل وبعد البعد كل هذه أنشطة عقلية ويعني حركة + +264 +00:29:54,220 --> 00:30:04,590 +عقلية يعني زاخرة تتحرك في كل الاتجاهاتوطبعا كلما + +265 +00:30:04,590 --> 00:30:11,790 +ارتقى التفكير كلما ارتقى الخيال لأن الخيال فرع عن + +266 +00:30:11,790 --> 00:30:17,470 +العقل كلما تطور العقل كلما تطور الخيال وإن كان + +267 +00:30:17,470 --> 00:30:22,490 +الخيال يختلف عن العقل أن العقل مضبط أو مضبوط + +268 +00:30:22,490 --> 00:30:29,050 +بعلاقات منطقية أما الجوانب الروحية فهي طليقة وحرة + +269 +00:30:29,050 --> 00:30:32,610 +والخيال كذلك حر طليقة + +270 +00:30:36,510 --> 00:30:43,610 +أيضًا قال في وصف الخمر وقد خفيت من لطفها فكأنها + +271 +00:30:43,610 --> 00:30:52,030 +بقايا يقين كاد يذهبه الشك يعني أيضًا أن هذه الخمر + +272 +00:30:52,030 --> 00:31:00,330 +قد فقدت ظواهرها المادية وتحولت إلى عالم روحي بمعنى + +273 +00:31:00,330 --> 00:31:10,030 +أن تأثيرها كان كبيرًا ووهي بتأثيراتها وليس بـ .. + +274 +00:31:10,030 --> 00:31:17,350 +بمتحيزاتها ومحرزاتها الواقعية فهي من الناحية + +275 +00:31:17,350 --> 00:31:24,590 +الواقعية قد خفيت يعني خفيت كل المظاهر المادية وقد + +276 +00:31:24,590 --> 00:31:30,970 +خفيت من لطفها فكأنها بقايا يقين كاد يذهبه الشكيعني + +277 +00:31:30,970 --> 00:31:40,650 +ما تبقى منها شيء من اليقين فقط حتى إن الشك كاد أن + +278 +00:31:40,650 --> 00:31:49,070 +يذهب بهذا اليقين المحدود أيضًا + +279 +00:31:49,070 --> 00:31:54,530 +وجدنا أبو تمام يتعمق الاعتزال مما يدل على أن هذه + +280 +00:31:54,530 --> 00:31:58,750 +الظاهرة، ظاهرة الاعتزال كان لها تأثير واسع عند + +281 +00:31:58,750 --> 00:32:04,550 +الشعراءوليس حالة معينة عند شاعر من الشعراء فإذا + +282 +00:32:04,550 --> 00:32:13,410 +كان بشار و أبو نواز يصدران عن فكر معارض للمعتزلة + +283 +00:32:13,410 --> 00:32:20,130 +فإن أبا تمام كان يتعمق لاعتزال وقد لاحظ ذلك الآمدي + +284 +00:32:20,130 --> 00:32:29,440 +فقال إن شعره يعجب أصحاب الفلسفةفقد وردت ألفازهم في + +285 +00:32:29,440 --> 00:32:36,240 +شعره يقولوا في هجاء شخص هبما له شيء يريد حجابه ما + +286 +00:32:36,240 --> 00:32:42,280 +باله لا شيء عليه حجابه طبعاً يريد أن يثبت صفة أيه + +287 +00:32:42,280 --> 00:32:46,880 +البخل عند هذا الإنسان من خلال مهارات إسلوبية + +288 +00:32:46,880 --> 00:32:50,540 +وتعبيرية + +289 +00:32:50,540 --> 00:32:57,580 +أيضاً فقال من ناحية التعبيريةاللي هو أنه وضع هذا + +290 +00:32:57,580 --> 00:33:03,220 +المعنى ضمن نقاش فكري، Hub، افترض، ما له شيء، يعني + +291 +00:33:03,220 --> 00:33:09,920 +الإنسان عنده شيء ممكن أن يحجبه عن الآخرين حتى لا + +292 +00:33:09,920 --> 00:33:14,780 +يكون مطمعاً لهم أو يحسدونه عليه، ممكن أن يضع + +293 +00:33:14,780 --> 00:33:20,890 +حجاباًفهذا المفترض يعني شيء عقلي، مقبول عقليًا لكن + +294 +00:33:20,890 --> 00:33:30,440 +الذي لا يُقبل عقلاً أن نضع حجاباً على لا شيءطبعًا + +295 +00:33:30,440 --> 00:33:37,500 +أبو تمام استعمل طريقة ال .. ال .. الطريقة المنطقية + +296 +00:33:37,500 --> 00:33:43,260 +الفكرية في النقاش على طريقة علماء الكلام الشيء + +297 +00:33:43,260 --> 00:33:52,040 +التاني أنه استعمل إيه الفاظ المعتذلة وهو لا شيء ما + +298 +00:33:52,040 --> 00:33:58,770 +باله لا شيء، لا شيء بمعنى العدمعند المعتزلة استعمل + +299 +00:33:58,770 --> 00:34:04,310 +هذا المصطلح أيضًا نراه طبعًا يستعمل مهارات أسلوبية + +300 +00:34:04,310 --> 00:34:11,970 +مثلًا فمثلًا استعمل الإسم بدل الوصف همل له شيء + +301 +00:34:11,970 --> 00:34:17,390 +يريد حجابه يعني يريد إحجابه فأقام الإسم مقام + +302 +00:34:17,390 --> 00:34:22,880 +المفضلطبعاً المصدر أقرب إلى الفعل، الإسم أبعد، + +303 +00:34:22,880 --> 00:34:26,560 +الإسم إيه أثبت، فيريد إيه إثبات هذه الصفة، فاختار + +304 +00:34:26,560 --> 00:34:32,480 +إيه الإسم اللي هو حجاب بدل إيه المصدر ليعمق + +305 +00:34:32,480 --> 00:34:39,900 +المعنى، ليثبت هذه الصفة، الصفة دي البخل، وأنهاصفة + +306 +00:34:39,900 --> 00:34:49,420 +مطبوعة، طبعا الشعراء يتجهون إلى وصف الصفات بأنها + +307 +00:34:49,420 --> 00:34:56,860 +إيه؟ في المدح مثلا، بأنها نابعة من إرادة حرة، طيب، + +308 +00:34:56,860 --> 00:35:03,240 +في البخل أو في تقبيح القبيح يحاولون إخباط الصفات + +309 +00:35:03,240 --> 00:35:09,280 +القبيحة بأنهابأنها مطبوعة في نفوس أصحابها + +310 +00:35:09,280 --> 00:35:14,500 +فيستعملوا مهارات كثيرة للتعبير عن إيه هذا المعنى + +311 +00:35:14,500 --> 00:35:21,000 +وكل عصرا له إيه إمكاناته له إمكاناته التعبيرية + +312 +00:35:21,000 --> 00:35:27,580 +التي يستمدها من المستوى اللغوي ومن التعبير + +313 +00:35:27,580 --> 00:35:32,880 +المستعمل ومن المصطلحات التي تنشأ بفضل التطور + +314 +00:35:32,880 --> 00:35:41,100 +الفكري والعقليأيضًا نلاحظ أن أبا كمام يستعمل ألفاظ + +315 +00:35:41,100 --> 00:35:47,280 +العموم والخصوص في المدح مثلًا لن ينال العلا خصوصًا + +316 +00:35:47,280 --> 00:35:54,000 +من الفتيان من لم يكن نداه عمومًا فالعموم في السلوك + +317 +00:35:54,000 --> 00:35:58,320 +يؤد إلى الخصوصية + +318 +00:35:58,320 --> 00:36:04,060 +في الأخلاق يعني التمييز الأخلاقي يكون بالعموم + +319 +00:36:04,060 --> 00:36:12,190 +السلوكيفي الكلام مثلا عموم العطاء يعني طبعا العموم + +320 +00:36:12,190 --> 00:36:18,690 +يعني الاستغراق الزمني والمكاني والموطوعي يعني يعطي + +321 +00:36:18,690 --> 00:36:26,750 +صيفا وشتاء يطعموا ينفقوا صيفا وشتاء زمني أو ليلا + +322 +00:36:26,750 --> 00:36:36,420 +ونهارا هو أيضا مكاني شرقا وغربا غورا ونجدابرا وبحر + +323 +00:36:36,420 --> 00:36:42,140 +موضوعي في حالتي العصي واليسئة كلمة عموما عن + +324 +00:36:42,140 --> 00:36:47,280 +استغراق للجانب السلوكي في أبعاده الزمنية والمكانية + +325 +00:36:47,280 --> 00:36:53,460 +والموضوعية فهذه هي التي تحقق النموذجية يعني أن + +326 +00:36:53,460 --> 00:36:58,880 +يكون خاصا لن ينال العلا خصوصا يعني هذه التي يعطي + +327 +00:36:58,880 --> 00:37:06,720 +صفة التميزالذي يعطي صفة تميز هو عموم إيه العطاء + +328 +00:37:06,720 --> 00:37:10,740 +فلفظ + +329 +00:37:10,740 --> 00:37:15,260 +العموم والخصوص من الفاظ المناطقة وطبعا أوي تمام + +330 +00:37:15,260 --> 00:37:24,380 +وضع المعنى بين هدين المصطلحين ليعمق إيه المعنى بأن + +331 +00:37:24,380 --> 00:37:29,540 +اوضع بأن جعله بينه ضد ديني العموم والخصوصكذلك + +332 +00:37:29,540 --> 00:37:34,220 +ألفاظ الجوهر + +333 +00:37:34,220 --> 00:37:39,460 +والعرض طبعاً هذه من ألفاظ الفلاسفة والمتكلمين + +334 +00:37:39,460 --> 00:37:48,090 +والجوهر أثبت من العرضفقال يمدح صاغهم ذو الجلال من + +335 +00:37:48,090 --> 00:37:54,410 +جوهر المجد وصاغ الأنامة من عرضه طبعا يمدح الممدوح + +336 +00:37:54,410 --> 00:38:00,110 +بأن الله سبحانه وتعالى خلقهم من جوهر المجد بينما + +337 +00:38:00,110 --> 00:38:06,070 +خلق الآخرين من العرض الشيء الذي يعني لا يبقى طويلا + +338 +00:38:06,070 --> 00:38:16,870 +في الزمن وينتهي بسرعةأيضًا وظّف يعني أسماء أو + +339 +00:38:16,870 --> 00:38:23,910 +أعلام المذاهب الفكرية في هذا العصر وطبعًا من أهم + +340 +00:38:23,910 --> 00:38:28,310 +المذاهب الفكرية التي كانت في هذا العصر أم المعتذبة + +341 +00:38:28,310 --> 00:38:37,010 +وكذلك الجهمية فقال يمدح أبا سعيد الثغريعمريه عظم + +342 +00:38:37,010 --> 00:38:41,650 +الدين جهميه الندى ينفي القوى ويثبت التكليفة + +343 +00:38:41,650 --> 00:38:46,830 +فالممدوح على مذهب عمر ابن عبيد كبير المعتزل بعد + +344 +00:38:46,830 --> 00:38:51,370 +واصل من عطار الذي يقول بحرية الإرادة الإنسانية + +345 +00:38:51,370 --> 00:38:59,690 +يعني أنت حر في الكرم يعني أنت صاحب إرادة صادقة أنت + +346 +00:38:59,690 --> 00:39:09,010 +مطبوع يعني الكرم عندك طبعطيب، هذه صفة متى يكون + +347 +00:39:09,010 --> 00:39:14,570 +الخلق جميلًا إذا كان طبعًا؟ طيب، ماشي طيب، من + +348 +00:39:14,570 --> 00:39:19,330 +الناحية السلوكية أنه يرى من الناحية السلوكية على + +349 +00:39:19,330 --> 00:39:23,950 +مذهب جهنم بن صفوان الذي يقول بوجوب التكاليف + +350 +00:39:23,950 --> 00:39:31,990 +الشرعية يعني أنه يرى أن الفعل السلوكي واجب عليه + +351 +00:39:34,430 --> 00:39:39,830 +واجب على الله يرى الكرم أو أفعال الكرم واجبة فهو + +352 +00:39:39,830 --> 00:39:44,890 +يفعلها وجوبا وليس من نافلة القول أو من نافلة الفعل + +353 +00:39:44,890 --> 00:39:52,810 +كما قال أبو تمام في سياق آخر ولا آتيك إلا فريضة + +354 +00:39:52,810 --> 00:40:00,050 +وآتي جميع الناس إلا تنفلا ولهذا + +355 +00:40:00,050 --> 00:40:09,390 +ينبغي على المسلمأن يجعل من السُنا .. من السُنا ما + +356 +00:40:09,390 --> 00:40:15,710 +هي فريضة في حقه تعظيمًا لله سبحانه وتعالى فصيام + +357 +00:40:15,710 --> 00:40:21,650 +الأثنين والخميس سُنة فهو يجعلها فريضة عليه مع أنها + +358 +00:40:21,650 --> 00:40:26,730 +سُنة ويقر بذلك ويعتقل بذلك لكنه يراها أيه واجبة + +359 +00:40:26,730 --> 00:40:28,150 +عليه تعظيمًا لله + +360 +00:40:32,580 --> 00:40:39,060 +أيضًا استعمل أبو تمام الجهمية + +361 +00:40:39,060 --> 00:40:44,340 +في وصف الخمر، جهمية الأوصاف، إلا أنهم قد لقبوها + +362 +00:40:44,340 --> 00:40:49,120 +جوهر الأشياء، جهمية يعني وصلت من الصفات ما لا يمكن + +363 +00:40:49,120 --> 00:40:53,840 +وصفه، فالجهمية تنكره، تنفي الصفات عن الله سبحانه + +364 +00:40:53,840 --> 00:40:58,790 +وتعالى، حتى لا يشابه المخلوق،فقال جهمية الأوصاف + +365 +00:40:58,790 --> 00:41:05,550 +يعني أنها لا توصف لشدة جمالها بحيث أنها فوق المدرك + +366 +00:41:05,550 --> 00:41:11,530 +العقلي أيضا + +367 +00:41:11,530 --> 00:41:18,670 +استعمل لغة التضاد فقال + +368 +00:41:18,670 --> 00:41:22,710 +في وصف المحبوبة بيضاء تسلي في الظلام فيكسي نورا + +369 +00:41:22,710 --> 00:41:30,900 +وتسرب في الضياء فيظلمهوأيضًا قال وَلِهَتْ فأظلم كل + +370 +00:41:30,900 --> 00:41:38,200 +شيء دونها وأنار منها كل شيء مظلمي يعني استعمله لغة + +371 +00:41:38,200 --> 00:41:44,900 +اقتضاب لتعميق المعنى لأن وضع المعنى ضمن ضد ديني + +372 +00:41:44,900 --> 00:41:49,980 +يعمق المعنى ويخليهم من المفردات السالبة والعوارض + +373 +00:41:49,980 --> 00:41:57,200 +المانعة كذلك قال في وصف قلم ابن زيادلعاب الأفاعي + +374 +00:41:57,200 --> 00:42:02,720 +القاتلات لعابه وأريو الجنة اشترته أيدي عواصله، له + +375 +00:42:02,720 --> 00:42:08,420 +ريقة طل ولكن وقعها بآثاره في الشرق والغرب وابله، + +376 +00:42:08,420 --> 00:42:13,300 +فصيح إذا استنطقته وهو راكب، وأعجم إن خاطبته وهو + +377 +00:42:13,300 --> 00:42:19,470 +راجلاستعمل لغة التضاد لتعميق المعنى وتجميله لأن + +378 +00:42:19,470 --> 00:42:25,030 +المعنى إذا وقع بين ضديني ازداد جمالا وروعة لأن + +379 +00:42:25,030 --> 00:42:31,490 +المعنى إذا كان بين ضديني يعني احتوى على صفات + +380 +00:42:31,490 --> 00:42:37,910 +التحلية وابتعد عن صفات التخليةهذا وبالله التوفيق + +381 +00:42:37,910 --> 00:42:42,690 +وصلى اللهم على نبينا محمد وعلى آله وصحبه وسلم + +382 +00:42:42,690 --> 00:42:44,130 +تسليما كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/mu4Dy_rx-f4_postprocess.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/mu4Dy_rx-f4_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..db7a9c21d7067c0c902fbdc082cdb54578be3593 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/mu4Dy_rx-f4_postprocess.srt @@ -0,0 +1,1500 @@ +1 +00:00:05,420 --> 00:00:08,820 +بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد + +2 +00:00:08,820 --> 00:00:13,820 +وعلى آله وصحبه وسلم تسليم كثيرة وبعد موضوع هذه + +3 +00:00:13,820 --> 00:00:19,140 +المحاضرة إن شاء الله قصيدة الهجاء وما أصابها من + +4 +00:00:19,140 --> 00:00:26,760 +تطور وتجديد كما ذكرنا من قبل في قصيدة المدحي في + +5 +00:00:26,760 --> 00:00:32,100 +أنها قامت بالحفاظ على المنظومة الأخلاقية من خلال + +6 +00:00:32,100 --> 00:00:39,090 +التحليةيعني ذكر الصفات الحسنة في الممدوح وهذه + +7 +00:00:39,090 --> 00:00:43,190 +الصفات التي ذكرها الشاعر العباسي في قصيدة المدح + +8 +00:00:43,190 --> 00:00:49,010 +إما أن تكون صفات موجودة في الممدوح أو مطالب يود + +9 +00:00:49,010 --> 00:00:55,660 +الشاعر أن يراها في الممدوحفقد قامت قصيدة المدحي + +10 +00:00:55,660 --> 00:01:00,740 +بعنصر التحلية في المنظومة الأخلاقية العربية أما + +11 +00:01:00,740 --> 00:01:06,120 +قصيدة الهجاء فقامت بالدور الثاني وهو التخلية إذ + +12 +00:01:06,120 --> 00:01:11,720 +المنظومة الأخلاقية العربية تقوم على أمرينالتحلية + +13 +00:01:11,720 --> 00:01:18,800 +والتخلية فقصيدة الهجاء قامت بدور التخلية التخلية + +14 +00:01:18,800 --> 00:01:23,160 +من المفرضات السالبة والعوارض المانعة في المنظومة + +15 +00:01:23,160 --> 00:01:29,660 +الأخلاقية فهجأ الشاعر العباسي البخل كما الشاعر + +16 +00:01:29,660 --> 00:01:36,200 +الجاهلي إلا أن ما يميز الشاعر العباسي أنه أضاف + +17 +00:01:36,200 --> 00:01:44,830 +عناصر جديدة في قصيدة الهجاءالشاعر العباسي قد يختلف + +18 +00:01:44,830 --> 00:01:52,790 +أو يعني جدد في معاني الهجاء بخلاف الشاعر الجاهلي + +19 +00:01:52,790 --> 00:01:59,430 +فالشاعر الجاهلي في قصيدة الهجاء قام على سلب + +20 +00:01:59,430 --> 00:02:08,160 +الفضائل من المهجوم والساق الرذائل بهذلك أن المجتمع + +21 +00:02:08,160 --> 00:02:15,040 +الجاهلي كان مجتمعًا أخلاقيًا يعني يهتم بالأخلاق + +22 +00:02:15,040 --> 00:02:23,200 +ولذلك عندما هجأ الأعش الكبير ميمون ابن قيس هجأ على + +23 +00:02:23,200 --> 00:02:30,680 +قمة ابن علاته وكان سيدًا في قومهفقال فيه تبيتون في + +24 +00:02:30,680 --> 00:02:39,420 +المشت ملاء بطونكم وجاراتكم غرفة يبتن خمائص بكى على + +25 +00:02:39,420 --> 00:02:47,000 +القمة ابن علاثة فالأعشاء قام بسلب الفضاء من + +26 +00:02:47,000 --> 00:02:55,660 +المهجوم وإلساق الرذائل به هجاه بالبخل هجاه بالبخل + +27 +00:02:55,660 --> 00:03:05,640 +فبكى على القمةذلك أن العربي يتأثر بالأخلاق فبكى + +28 +00:03:05,640 --> 00:03:11,600 +على القمة وكان سيدا كما قلنا في قومه متى يبكي + +29 +00:03:11,600 --> 00:03:18,640 +الرجالإن بكاء الرجال هنا له دلالة و بكاء ع القمة + +30 +00:03:18,640 --> 00:03:24,420 +له دلالة كبيرة أن الإنسان العربي كان يتأثر عندما + +31 +00:03:24,420 --> 00:03:34,400 +يهجى بالبخل أو الجبن والعصر العباسي اختلفت فيه + +32 +00:03:34,400 --> 00:03:42,870 +الإحساسات الأخلاقيةبفضل أو بسبب الحضارة والتحضر + +33 +00:03:42,870 --> 00:03:46,130 +والاختلاط + +34 +00:03:46,130 --> 00:03:52,610 +مع الثقافات الأجنبية والشعوب الأخرى وضعف التحمس + +35 +00:03:52,610 --> 00:03:58,350 +للقيم الأخلاقية فاعتمد الشاعر العباسي على معانا + +36 +00:03:58,350 --> 00:04:05,100 +جديدة لم يقف الشاعر العباسي عندالهجاء بالأخلاق + +37 +00:04:05,100 --> 00:04:13,480 +سيئة بل جعل المهجوء أضحوك يتنضر بها أي لم يقف عند + +38 +00:04:13,480 --> 00:04:19,960 +ما وقف عنده الشعر الجاهلي بل أضاف إليه إلى الهجاء + +39 +00:04:19,960 --> 00:04:24,080 +معاني جديدة المعنى الأول الصورة الأولى أنه جعل + +40 +00:04:24,080 --> 00:04:30,700 +المهجوء أضحوكمن ذلك مثلًا قول ابراهيم ابن العباس + +41 +00:04:30,700 --> 00:04:40,020 +يهجو صديقًا له تنكر لصحبته وفضله فقال فيه أتيت بك + +42 +00:04:40,020 --> 00:04:46,780 +الصوقة صوقًا رقيق فناديت هل فيك من زائدي على رجل + +43 +00:04:46,780 --> 00:04:55,470 +غادر للصديق كفور لنعمائه جاحديهنا الشاعر جعل من + +44 +00:04:55,470 --> 00:05:04,510 +المهجو أضحوك حيث أتى به السوق للبيع و الأصدقاء لا + +45 +00:05:04,510 --> 00:05:11,770 +يباعون و إنما عرضه للبيع في سوق الرقيق و الرقيق هم + +46 +00:05:11,770 --> 00:05:17,970 +العبيد و ليسوا الأحرار فجاء به إلى سوق الرقيق و + +47 +00:05:17,970 --> 00:05:24,280 +ليس إلى سوق الأحرارثم أدخله في المزايد العلني يعني + +48 +00:05:24,280 --> 00:05:31,660 +أدخله المزايدة وطبعا كونه يدخل في هذه المزايدة + +49 +00:05:31,660 --> 00:05:37,580 +يعني الهدف أنه يريد أن يبيعه بأي سعر يستقر عليه + +50 +00:05:37,580 --> 00:05:44,400 +السوق ثم إنه ليس بطامع في أن يتحصل من ورائه على + +51 +00:05:44,400 --> 00:05:52,620 +سعر مرتفعفهو يريد أن يبيعه بأدنى سعر وبأقل الأسعار + +52 +00:05:52,620 --> 00:05:59,260 +من خلال عرض مجموعة من الصفات القبيحة الموجودة في + +53 +00:05:59,260 --> 00:06:07,360 +هذا الصاحب فقال على رجل غادر بالصديق كفور لنعمائه + +54 +00:06:07,360 --> 00:06:16,960 +جاحديأيضًا وجدنا بشار بن بورد يهجو ابن قزعة فقال + +55 +00:06:16,960 --> 00:06:23,340 +فيه فلا تبخلى بخلى ابن قزعة إنه مخافة أن يرجى نداه + +56 +00:06:23,340 --> 00:06:30,860 +حزينهإذا جيته للعُرف أغلق بابه فلم تلقاه إلا وانت + +57 +00:06:30,860 --> 00:06:37,460 +كمينه طبعا في البيت الأول نرى يعني مهارات عقلية + +58 +00:06:37,460 --> 00:06:44,200 +واسلوبية إذ قلنا إن العصر العباسي يعني كشف عن + +59 +00:06:44,200 --> 00:06:48,140 +عقلية عربية + +60 +00:06:48,140 --> 00:06:58,320 +نشطة متفلسفة جدلة فقالفلا تبخلى بخل بن قزعة إنه + +61 +00:06:58,320 --> 00:07:07,000 +مخافة أن يرجى نداه حزينه فهو حزين على شيء لم يتحصل + +62 +00:07:07,000 --> 00:07:14,060 +عليه أو لم يحصل لأن الحزن يكون على فائد والخوف على + +63 +00:07:14,060 --> 00:07:23,860 +شيء يرجى حصوله فهو حزين على شيء لم يتم حصولهوهذا + +64 +00:07:23,860 --> 00:07:31,060 +تعميق للبخل ثم بعد ذلك في البيت الثاني جعله أضحوك + +65 +00:07:31,060 --> 00:07:38,580 +إذا جئته للعرفي أي طالبًا لسؤالي أغلق بابه ما الحل + +66 +00:07:38,580 --> 00:07:45,020 +إذا أمام الشعر؟فلم تلقاه إلا و أنت كمينه لا يمكن + +67 +00:07:45,020 --> 00:07:51,600 +أن نتحصل على هذا البخيل إلا من خلال كمين أن يكمل + +68 +00:07:51,600 --> 00:08:00,400 +الإنسان لهذا البخيل إلا و أنت كمينه كمينه على ود + +69 +00:08:00,400 --> 00:08:07,200 +الفعيل بمعنى الفاعل وأيضا اسم المفعول كامن و مكمون + +70 +00:08:08,020 --> 00:08:13,220 +فهي صورة كما نرى صورته تثير الضحك وتجعل من المهجوء + +71 +00:08:13,220 --> 00:08:20,540 +أضحوكة وكذلك فعل أبو تمام في هجاء بخيل حريص على + +72 +00:08:20,540 --> 00:08:29,630 +رغفانه صدق أليته إن قال مجتهدا لا والرغيففذاك البر + +73 +00:08:29,630 --> 00:08:37,590 +من قسمه قد كان يعجبني لو أن غيرته على جراذقه كانت + +74 +00:08:37,590 --> 00:08:45,430 +على حرمه إن رمت قتلته فافتك بخبزته فإن موقعها من + +75 +00:08:45,430 --> 00:08:55,130 +لحمه ودمه صدق يعني صدق يمينه أو حلفه إن حلفبصدق و + +76 +00:08:55,130 --> 00:09:02,650 +بإرادة قوية لا و الرغيف لأن الحالف إنما يعظم + +77 +00:09:02,650 --> 00:09:10,510 +المحلوف به ولذلك نهى الإسلام أن نحلف بغير الله لأن + +78 +00:09:10,510 --> 00:09:18,150 +الحالف بغير الله تعظيم لغير الله فهو من الشرك فذاك + +79 +00:09:18,150 --> 00:09:24,890 +البر من قسمه إذا حلفبالرغيف فإنه يبر بقسمه ولا + +80 +00:09:24,890 --> 00:09:32,350 +يحنث وهذا دليل على أنه يعظم الرغيف أي أن الشاعر + +81 +00:09:32,350 --> 00:09:37,870 +يعمق معنى البخل وأيضا + +82 +00:09:37,870 --> 00:09:44,350 +يقول قد كان يعجبني لو أن غيرته على جراذقه كانت على + +83 +00:09:44,350 --> 00:09:53,890 +حرمهيتمنى الشاعر ويود ويعجب لو أن هذه الغيرة كانت + +84 +00:09:53,890 --> 00:10:02,890 +على محارمه وعلى معتقداته وعلى قيمه لكنها كانت عند + +85 +00:10:02,890 --> 00:10:11,910 +المهجوم على الأرغفة وجراذق جمع جرذقوهي كلمة معرّبة + +86 +00:10:11,910 --> 00:10:20,730 +كلمة ثارسية معرّبة جمع جرذق جراذق إن رمت قتلته + +87 +00:10:20,730 --> 00:10:27,330 +فافتك بخبزته فإن موقعها من لحمه ودمه إن أردت أو + +88 +00:10:27,330 --> 00:10:35,710 +رغبت في أن تقتله قتلة شنيعةففتك بخبزته فإن موقعها + +89 +00:10:35,710 --> 00:10:42,790 +من لحمه ودمه قلنا قتلته الشنيعة طبعا من خلال + +90 +00:10:42,790 --> 00:10:47,370 +السياق فهمنا أن القتلة التي يريدها الشاعر هي + +91 +00:10:47,370 --> 00:10:54,470 +القتلة الشنيعة لأن السياق له سلطة على النص أو على + +92 +00:10:54,470 --> 00:11:00,910 +العبارة أو الأسلوب له سلطة صرفية ودلالية ونحوية + +93 +00:11:00,910 --> 00:11:08,510 +أيضاالصياق له سلطة نحوية وصرفية ودلالية وهنا له + +94 +00:11:08,510 --> 00:11:16,230 +سلطة دلالية أي إن رمت إن رغبت أن تقتله قتلة شنيعة + +95 +00:11:16,230 --> 00:11:24,510 +فافتك بخبزته اكثر رغيب الخبز فإنه يقتل قتلة شنيعة + +96 +00:11:24,510 --> 00:11:33,440 +لأنها تقع في موقع الروح بين اللحم والدمفنلاحظ أنه + +97 +00:11:33,440 --> 00:11:40,120 +جعل من المهجوم أضحوك إذ كيف يموت إنسان ميتة شنيعة + +98 +00:11:40,120 --> 00:11:46,700 +لسبب بسيط وسبب + +99 +00:11:46,700 --> 00:11:51,620 +مادي قليل + +100 +00:11:51,620 --> 00:11:57,360 +وهو الرغيف فهذا تعميق للبخل عند المهجوم وجعله + +101 +00:11:57,360 --> 00:11:58,820 +أضحوك + +102 +00:12:00,530 --> 00:12:08,430 +أيضًا وجدنا ابن رومي يهجو رجلا آخر بخيلا طبعًا هنا + +103 +00:12:08,430 --> 00:12:16,530 +يعني نجد أن هذه أصبح ظاهرة في الشعر العباسي ما يدل + +104 +00:12:16,530 --> 00:12:21,710 +على أنه بالفعل كان هناك تطور وتجديد في قصيدة + +105 +00:12:21,710 --> 00:12:30,350 +الهجام فقال يهجو بخيلايقتر عيسى على نفسه وليس بباق + +106 +00:12:30,350 --> 00:12:39,630 +ولا خالد فلو يستطيع لتقتله تنفس من ممخ واحد أي أنه + +107 +00:12:39,630 --> 00:12:47,050 +طبعا يريد أن يعمق البخل عند البخيل معنا واضحوكة + +108 +00:12:47,050 --> 00:12:53,360 +فيقول أنه بخيل على نفسهوالمعلومة أن الإنسان قد + +109 +00:12:53,360 --> 00:12:58,100 +يكون بخيلا على غيره في الغالب أما أن يبخل على نفسه + +110 +00:12:58,100 --> 00:13:05,750 +فهذا في حكم النادر فهو يبخل على نفسهوطبعا البيت + +111 +00:13:05,750 --> 00:13:12,230 +الثاني يشير إلى أنه أي الشاعر جعل المهجوء أضحك فلو + +112 +00:13:12,230 --> 00:13:18,310 +يستطيع لتقتيله تنفس من منخ واحد فانظر إلى إنسان + +113 +00:13:18,310 --> 00:13:24,730 +يتنفس من منخ واحد وبإمكانه أن يتنفس منه منخرين + +114 +00:13:24,730 --> 00:13:30,750 +ولكن الشاعر طبعا في هذه الصورة جعل المهجوء أضحك + +115 +00:13:34,230 --> 00:13:41,510 +أيضًا وجدنا من التجديد أن الشاعر العباسي يستغل + +116 +00:13:41,510 --> 00:13:47,930 +العيوب الخلقية الموجودة في المهجوم كالعمى مثلًا + +117 +00:13:47,930 --> 00:13:55,530 +كما فعل حمد عجرد يهجو بشارًا فقال وأعمى يشبه القرد + +118 +00:13:55,530 --> 00:14:02,490 +إذا ما عمي القرددنيء لم يروح يوما إلى مجد ولم + +119 +00:14:02,490 --> 00:14:08,170 +يقضوا ولم يحضر مع الحضار في خير ولم يبدوا ولم يخش + +120 +00:14:08,170 --> 00:14:15,170 +له ذمن ولم يرجى له حمده وأعمى استقل الشاعر هذا + +121 +00:14:15,170 --> 00:14:22,190 +العيد الخلقي في المهجومفهو أعمى ولم يقف الشعل عند + +122 +00:14:22,190 --> 00:14:31,110 +هذا العيب بل أيضًا جعل منه صورة مضحكة فقال أنت قرد + +123 +00:14:31,110 --> 00:14:39,470 +أعمى إذا ما عمي القرددنيق لم يروح يوما إلى مجد ولم + +124 +00:14:39,470 --> 00:14:47,770 +يغضب وكلمة دنيق يعني منحت في الأخلاق وهذه الكلمة + +125 +00:14:47,770 --> 00:14:55,030 +يعني ربما كانت نادرة في الشاعر الجاهلي لكن في + +126 +00:14:55,030 --> 00:15:02,330 +الشاعر العباسي يعني كثرت لأن الشاعر ينتمي إلى بيئة + +127 +00:15:02,330 --> 00:15:11,510 +متحضرةفكانت تهتم ب مثل هذه الأخلاق الحضرية ولم + +128 +00:15:11,510 --> 00:15:16,150 +يحصل مع الحضار في خير ولم يبدو ولم يخش له ذم ولم + +129 +00:15:16,150 --> 00:15:24,630 +يرجى له حمد متى يصل الإنسان إلى أن يصبح ذمه كحمده + +130 +00:15:24,630 --> 00:15:33,700 +إذا كان فاقدا للقاعد الأخلاقية؟من تقوى أو مرؤة أو + +131 +00:15:33,700 --> 00:15:39,220 +حياء إذا فقد القاعدة الأخلاقية فإنه يستوي عنده + +132 +00:15:39,220 --> 00:15:46,720 +الذنب والحمد ويستوي عنده تعلي الخير مع تعلي الشر + +133 +00:15:46,720 --> 00:15:55,720 +إذا استوى هذان الأمران فإن هناك فقد للقاعدة + +134 +00:15:55,720 --> 00:15:59,120 +الأخلاقية عند المهجوم + +135 +00:16:01,810 --> 00:16:10,950 +و يهجو حمّاد أيضًا بشارًا من باب آخر فأتاهم من باب + +136 +00:16:10,950 --> 00:16:18,130 +الحضارة والتحطر فقال يعني مستغلا الهيئة العامة + +137 +00:16:18,130 --> 00:16:26,100 +للمهجوم والنظافة الشخصية والشكل العام فقالأي حمّاد + +138 +00:16:26,100 --> 00:16:33,800 +يهجو بشرًا، نهاره أخبث من ليله، ويومه أخبث من + +139 +00:16:33,800 --> 00:16:41,420 +أمسه، وليس بالمقلع عن غيّه، حتى يوارى في ثرى رمسه، + +140 +00:16:41,420 --> 00:16:47,800 +ما خلق الله شبيهًا له من جنه طرًا ومن إنسهوالله ما + +141 +00:16:47,800 --> 00:16:52,700 +الخنزير في نتنه بربعه في النتن أو خمسه بل ريحه + +142 +00:16:52,700 --> 00:16:59,020 +أطيب من ريحه ومفسه ألين من مفسه ووجهه أحسن من وجهه + +143 +00:16:59,020 --> 00:17:06,760 +ونفسه أنبل من نفسه نهاره أخبث من ليله ويومه أخبث + +144 +00:17:06,760 --> 00:17:12,060 +من أمسه دائما الشاعر يريد أن يعمق المعنى في + +145 +00:17:12,060 --> 00:17:17,540 +المهجومأو في المبدوح أو في أي جانب آخر الشاعر + +146 +00:17:17,540 --> 00:17:26,660 +دائما يعمق المعنى دائما يبحث عن المعنى العميق يريد + +147 +00:17:26,660 --> 00:17:34,900 +أن يعمق معنى الخبزفقال نهاره أخبث من ليله النهار + +148 +00:17:34,900 --> 00:17:40,380 +أخبث من الليل طبعا الإنسان يعني يكون في الليل أخبث + +149 +00:17:40,380 --> 00:17:46,780 +لأن الليل يستر العيوب لكن هنا قال نهاره أخبث من + +150 +00:17:46,780 --> 00:17:54,570 +ليلهيعني الخبث يتزايد عند المهجوم ويومه أخبث من + +151 +00:17:54,570 --> 00:18:01,830 +أمسه أي أن الخبث يزداد باستمرار وهذا يعطي مؤشر + +152 +00:18:01,830 --> 00:18:10,670 +وصفة في علاقته مع الخبث أي أن هذا الخبث ليس فعلا + +153 +00:18:10,670 --> 00:18:21,550 +سلوكيا فقط بل هو إيرادة أخلاقيةيعني أنك أي المهجوم + +154 +00:18:21,550 --> 00:18:28,790 +أنك خبيث ومتى يكون الإنسان خبيثا الإنسان لا يكون + +155 +00:18:28,790 --> 00:18:36,050 +خبيثا بفعل الخبث فقط بل بإرادة الخبث فإرادة الخبث + +156 +00:18:36,050 --> 00:18:45,000 +هي التي تصف الإنسان بكلمة خبيثوكذلك متى يكون + +157 +00:18:45,000 --> 00:18:51,000 +الإنسان كريما إذا كان لديه إرادة صادقة في الكرام + +158 +00:18:51,000 --> 00:18:56,660 +ومتى يكون تقيا إذا كانت لديه إرادة صادقة في التقوى + +159 +00:18:56,660 --> 00:19:01,880 +ومتى يكون عفيفا إذا كانت لديه إرادة صادقة في + +160 +00:19:01,880 --> 00:19:07,630 +التقوىفالشاعر يريد أن يقول إنك خبيث، لديك إرادة + +161 +00:19:07,630 --> 00:19:14,290 +شريرة، إرادة خبث، ودليل ذلك هذا التطور والتناني + +162 +00:19:14,290 --> 00:19:23,110 +السلوكي، فنهارك أخبث من ليلك، ويومك أخبث من أمسك، + +163 +00:19:23,110 --> 00:19:29,260 +والدليل على ذلك أيضًا ليس لديك إرادة،وليس بالمقلع + +164 +00:19:29,260 --> 00:19:37,940 +عن غيّه يعني ليس لديه إرادة للإقلاع ولذلك عبر باسم + +165 +00:19:37,940 --> 00:19:43,740 +الفعل المقلع ولم يعبر بالفعل يعني لم يقول لا تقلع + +166 +00:19:43,740 --> 00:19:50,940 +عن غيّك وإنما قال وليس بالمقلع عن غيّه وهنا أيضًا + +167 +00:19:50,940 --> 00:19:58,610 +سغراق من زمني حتى يوارث في ثرى رمسهوكلمة رمسه هي + +168 +00:19:58,610 --> 00:20:02,430 +القبر القديم يعني يريد أن يعمق المعنى من خلال + +169 +00:20:02,430 --> 00:20:07,050 +تعميق البعد الزمني الاستغلاق الزمني حتى يوارث في + +170 +00:20:07,050 --> 00:20:14,490 +سرى رمسه أيضًا يعمق المعنى وما يزال الشاعر يعمق + +171 +00:20:14,490 --> 00:20:20,970 +المعنى بيتًا بعد بيت فقال ما خلق الله شبيه له من + +172 +00:20:20,970 --> 00:20:28,380 +جنه طرًا ومن إنسه يعني ليس له شبيهأيضًا من الأشياء + +173 +00:20:28,380 --> 00:20:35,740 +التي يعمق والأدوات التي يعمق بها هذا الخبس اليمين + +174 +00:20:35,740 --> 00:20:42,720 +أو القسم في قوله والله ما الخنزير في نتنه بربعه في + +175 +00:20:42,720 --> 00:20:52,210 +النتن أو خمسه يعني الخنزير ليس في قراهة رائحتهبربع + +176 +00:20:52,210 --> 00:20:59,170 +ما في بشار أو خمسه من الرائحة الكريهة بل أيضا يعمق + +177 +00:20:59,170 --> 00:21:06,830 +المعنى بكلمة بل التي هي للادراب الانتقالي لأن بل + +178 +00:21:06,830 --> 00:21:12,660 +تنقل معنى من معنى قليل إلى معنى أعمقبل ريحه أطيب + +179 +00:21:12,660 --> 00:21:19,560 +من ريحه ومسه ألين من نفسه ووجهه أحسن من وجهه ونفسه + +180 +00:21:19,560 --> 00:21:25,320 +أنبل من نفسه يعني الخنزير لديه نب الأخلاقي يعني + +181 +00:21:25,320 --> 00:21:31,110 +عنده طبعا هذه المبالغةوطبعا كما ذكرنا من قبل أن + +182 +00:21:31,110 --> 00:21:36,430 +المبالغة ظاهرة من ظواهر الأدب أو الشعر العباسي + +183 +00:21:36,430 --> 00:21:44,650 +وعوده أكرم من عوده وجنسه أكرم من جنسه أيضا من + +184 +00:21:44,650 --> 00:21:52,890 +استغلال المظهر العام والنظافة الشخصية قول الصولي + +185 +00:21:52,890 --> 00:21:57,710 +إبراهيم بن العباس الصولي يهجوا شخصا + +186 +00:21:59,760 --> 00:22:06,060 +فقال فيه وكن كيف شئت و قل ما تشاء وأبرق يمينا + +187 +00:22:06,060 --> 00:22:13,260 +وأرعد شمالا نجى بك لؤمك منج الذباب حمته مقاذيره أن + +188 +00:22:13,260 --> 00:22:18,600 +يُنالطبعا هذه العبارة كون كيف شئ وقول ما تشاء + +189 +00:22:18,600 --> 00:22:24,360 +وأبرق مينا وأبعد شمالا يعني يستوي فيها أيه الخلق + +190 +00:22:24,360 --> 00:22:31,820 +السيء مع الخلق الفاضل طبعا هذه لا يكون إلا إذا كان + +191 +00:22:31,820 --> 00:22:37,960 +ايه المهجوم فاقدا لقاعدة أخلاقيةوطبعا القاعدة + +192 +00:22:37,960 --> 00:22:42,240 +الأخلاقية اما ان تكون التقوى مثلا تقوى قاعدة + +193 +00:22:42,240 --> 00:22:47,540 +أخلاقية المرؤة مثلا بالنسبة للأخلاق الجاهلية قائمة + +194 +00:22:47,540 --> 00:22:52,680 +على قاعدة المرؤة في عندي قاعدة الحياء أيضا قاعدة + +195 +00:22:52,680 --> 00:23:00,420 +أخلاقية بس يعني الحياء قاعدة أخلاقية مانعة يعني + +196 +00:23:00,420 --> 00:23:08,340 +تمنع ايه التخلية يعني قاعدة أخلاقية للتخليةيعني + +197 +00:23:08,340 --> 00:23:13,560 +تمنع الإنسان من فعله القبيح طبعا كما قلنا إن + +198 +00:23:13,560 --> 00:23:21,860 +الأخلاق فيها إيه فيها تحلية وتخلية إصبر تحلية بلا + +199 +00:23:21,860 --> 00:23:28,140 +جزع لأ بلا جزع تخلية تساوي الخلق الجميل الصبر + +200 +00:23:28,140 --> 00:23:35,160 +الجميل صبر بلا جزع فهنا + +201 +00:23:35,160 --> 00:23:44,930 +عندما يستويالخلق الفاضل مع ضده يكون المهجوم فاقدا + +202 +00:23:44,930 --> 00:23:49,410 +لقاعدة الحياة + +203 +00:23:49,410 --> 00:23:56,870 +وهي قاعدة أخلاقية مانعة بالتخلية تمنع الإنسان من + +204 +00:23:56,870 --> 00:24:03,360 +فعل الأشياء القبيحةكما تقول مثل بما ان انا رئيس او + +205 +00:24:03,360 --> 00:24:09,940 +زعيم او وزير او أستاذ عيب علي ان افعل كذا هذا ايه + +206 +00:24:09,940 --> 00:24:19,430 +حياة قاعدة أخلاقية وهي الحياةوقم كيف شئت وقول ما + +207 +00:24:19,430 --> 00:24:24,790 +تشاء وأبرق يمينا وأرعد سمالا نجا بك لؤمك منجا + +208 +00:24:24,790 --> 00:24:30,330 +الذبابي حمته مقاذيره أن يُنالا من المعلوم أن الذي + +209 +00:24:30,330 --> 00:24:36,410 +يحمي الإنسان هو الأخلاق أخلاقه الفاضلة وصفاته + +210 +00:24:36,410 --> 00:24:46,270 +الطيبة لكن هذا الذي بين أيدينا حمته أخلاقه السيئة + +211 +00:24:48,320 --> 00:24:55,180 +حمته مقاذيره أن ينال أن ينال طبعا هنا ينال ينال + +212 +00:24:55,180 --> 00:24:59,980 +جاي من إيه؟ من النول عفو جاي من النيل وليس من + +213 +00:24:59,980 --> 00:25:08,800 +النول أن ينال يعني أن يصل إليه + +214 +00:25:08,800 --> 00:25:16,300 +السوق نجى بك لؤمك منجى الذباب حمته مقاذيره أن ينال + +215 +00:25:17,430 --> 00:25:24,750 +أن يصل إليه السوء أو الأذان فأنت الذي يحميك قلة + +216 +00:25:24,750 --> 00:25:32,350 +أدبك و قلة حيائك و لؤمك أيضًا + +217 +00:25:32,350 --> 00:25:40,450 +من العيوب الخلقية ما هجى به ابن الرومي رجلا أحدب + +218 +00:25:40,450 --> 00:25:50,030 +فقال قصرت أخاديعه و غاب قذالهفكأنه متربص أن يصفع + +219 +00:25:50,030 --> 00:25:58,990 +وكأنما صفعت قفاه مرة و أحس ثانية لها فتجمع طبعا + +220 +00:25:58,990 --> 00:26:06,470 +الإنسان له أخدعان في العنقفي مؤخرة العنق هناك + +221 +00:26:06,470 --> 00:26:13,830 +أخدعان لرجل وسمى المخدع لأن الإنسان ينام على شقه + +222 +00:26:13,830 --> 00:26:17,950 +الأيمن أو الأيسا على الأخدع الأيمن أو الأخدع + +223 +00:26:17,950 --> 00:26:23,830 +الأيسا ثم ايه سمى مخدع يعني المكان الذي ينام فيه + +224 +00:26:24,750 --> 00:26:32,990 +قصرت أخادعه يعني العروق التي تغذي المخ قصرت أصبعها + +225 +00:26:32,990 --> 00:26:39,530 +قصيرة وغاب قذاله قذال مؤخرة الرأس يعني دخل رأسه في + +226 +00:26:39,530 --> 00:26:47,450 +في ظهره فكأنه متربص أن يصفع متربص يعني يأخذ الحيط + +227 +00:26:47,450 --> 00:26:51,030 +و الحظر من أيه من أن يصفع على قفاه + +228 +00:26:53,670 --> 00:27:00,890 +وكأنما صفعت قفاه مرة وكأنما يعني صفعة من قبل ولذلك + +229 +00:27:00,890 --> 00:27:10,990 +أحس بأن ثمة صفعة أخرى ستقع على رقبته فتجمع عروق + +230 +00:27:10,990 --> 00:27:18,890 +رقبته استعدادا للصفعة الثانية وكما نرى هنا جعل من + +231 +00:27:18,890 --> 00:27:26,010 +المهجوم أيضا أضحكو استغل أيضًا عيبًا خلقيًا في + +232 +00:27:26,010 --> 00:27:33,650 +المهجوم أيضًا من المعاني التي استعملها الشاعر + +233 +00:27:33,650 --> 00:27:39,570 +العباسي في الهجاة اللي هو الزندقة، تهمة الزندقة + +234 +00:27:40,820 --> 00:27:48,580 +فبشار بيرد كان أعمى ولذلك يعني رأى من تهمة الذندقة + +235 +00:27:48,580 --> 00:27:55,460 +أسهل وسيلة وأرخص وسيلة لإيقاع المهجوم في الأذى + +236 +00:27:55,460 --> 00:27:58,320 +والإيلام + +237 +00:27:59,250 --> 00:28:06,750 +فقال يهجو حمال عجرد الذي سبق أنهجاه قبل قليل قال + +238 +00:28:06,750 --> 00:28:14,190 +بشار فيه يا ابن نهيه رأس علي ثقيلهواحتمال الرؤوس + +239 +00:28:14,190 --> 00:28:21,030 +خطب جليله ادع غيري إلى عبادة ربيني فإني بواحد + +240 +00:28:21,030 --> 00:28:32,320 +مشغول طبعا ذاكره باسم أمه تحقيرا لهفيقول له يا ابن + +241 +00:28:32,320 --> 00:28:38,700 +نهية رأس علي ثقيله يعني عندي من الهموم التي تثقل + +242 +00:28:38,700 --> 00:28:48,900 +رأسي وهذا ألم شديد فانا لا احتمل اي دعوة اخرى + +243 +00:28:48,900 --> 00:28:54,940 +ادعوا غيري الى الذنبقة الى عبادة ربين لأن الذنبق + +244 +00:28:54,940 --> 00:29:00,210 +طبعا يؤمنون بإلهين اثنينالذندقة والعقائد الثانوية + +245 +00:29:00,210 --> 00:29:05,190 +زي المزاكية والمنوية والذراد الشتية كلها عقائد + +246 +00:29:05,190 --> 00:29:11,590 +ثانوية ادع غيري إلى عبادة ربين إلى الذندقة فإني + +247 +00:29:11,590 --> 00:29:19,570 +بواحد مشغول فإني مشغول بعقيد التوحيد ولكن حمدا مكر + +248 +00:29:19,570 --> 00:29:27,170 +به وأشع بين الناسفإني عن واحد مشغول يعني إني عن + +249 +00:29:27,170 --> 00:29:34,350 +عقيد التوحيد مشغول فقال بشار لقد عرضني للقتل + +250 +00:29:37,140 --> 00:29:42,200 +ولأن بشار كما قلت كان أعمى فقد اتخذ هذه الوسيلة + +251 +00:29:42,200 --> 00:29:47,680 +وهي وسيلة كما ذكرت رخيصة وسهلة بالنسبة لردر مكفوف + +252 +00:29:47,680 --> 00:29:57,280 +أعمى في هجاء شخص آخر هو عمارة ابن حربية فقال لو + +253 +00:29:57,280 --> 00:30:04,130 +كنت عماره عمارهلو كنت زنديقًا عمار حبوتني أو كنت + +254 +00:30:04,130 --> 00:30:07,830 +أعبد غير + +255 +00:30:07,830 --> 00:30:14,570 +ربي محمد أو كنت أعبد غير ربي محمدي لكنني وحدت ربي + +256 +00:30:14,570 --> 00:30:22,190 +مخلصًا فجفوتني بغضًا لكل موحده لو كنت زنديقًا عمار + +257 +00:30:22,190 --> 00:30:30,840 +يعنيعمار ابن الحربية حبوتني يعني أكرمتني و يعني + +258 +00:30:30,840 --> 00:30:37,080 +أكرمتني و نلت ملكي على الحفاوة و التقدية و + +259 +00:30:37,080 --> 00:30:44,100 +الاحترام ولكن و .. و لو كنت كذلك ايه أعبد غير ربي + +260 +00:30:44,100 --> 00:30:48,580 +محمد فانت تحتفي بهؤلاء بهؤلاء الذنادق أو الذين + +261 +00:30:48,580 --> 00:30:53,720 +يخرجون على دين محمد صلى الله عليه و سلم لكن اناكنت + +262 +00:30:53,720 --> 00:30:59,500 +موحدًا، فلذلك أنت بغضني وابتعدت عني وجفوتني لأنك + +263 +00:30:59,500 --> 00:31:08,660 +تبغض الموحدين وتحب الزنادقة والملاحدين أيضًا لأما + +264 +00:31:08,660 --> 00:31:14,340 +الشاعر عباسي بين المهجوم ومعاني الهجام فإذا كان + +265 +00:31:14,340 --> 00:31:18,540 +كاتبًا هجي بالزنادقة + +266 +00:31:20,330 --> 00:31:25,550 +كما قال ابراهيم ابن العباس الصولى في محمد ابن عبد + +267 +00:31:25,550 --> 00:31:32,410 +الملك الزياد حيما دينه على دين مانى ومانى طبعا + +268 +00:31:32,410 --> 00:31:41,330 +ومنها المانوية عقيدة من عقائد الثانوية بزوال من + +269 +00:31:41,330 --> 00:31:43,330 +نعمة وعقابى + +270 +00:31:45,200 --> 00:31:51,640 +حي من أصبح الغداة وزيرا، وهو بالأمس كاتب بن شهابي، + +271 +00:31:51,640 --> 00:31:58,360 +حي يعني بشر من دينه على دين ماني، بماذا يبشره؟ + +272 +00:31:58,360 --> 00:32:07,080 +بزوال من نعمة وعقامة، طبعا هنا هذا أمر، أسلوب أمر، + +273 +00:32:07,080 --> 00:32:14,780 +وهو أسلوب مجازي طبعا، غرضه التهديد أو السخريةلأن + +274 +00:32:14,780 --> 00:32:21,100 +طبعا الأغراض البلاغية تتعدد كملعلة النحوية لأن + +275 +00:32:21,100 --> 00:32:28,780 +البلاغة والنحو يتناولان المعنى حي من أصبح الغدات + +276 +00:32:28,780 --> 00:32:35,420 +وزيرا وهو بالأمس كاتب لشهابي حي + +277 +00:32:35,420 --> 00:32:40,200 +يعني بشر الذي أصبح اليوم وزيرا وكان بالأمس كاتب + +278 +00:32:40,200 --> 00:32:43,160 +لأحد الذنادق + +279 +00:32:46,190 --> 00:32:54,590 +أيضًا استغل الهجاء المذهبي بسبب وجود طرق ومذاهد + +280 +00:32:54,590 --> 00:32:59,390 +دينية فقال يا ابن الجهم وطبعًا ابن الجهم كان من + +281 +00:32:59,390 --> 00:33:06,310 +شعراء أهل السنة ومعلوم أن المتوكل ألغى القول بخلق + +282 +00:33:06,310 --> 00:33:15,320 +القرآن و ألغى المذهب الاعتزاليفجاء بعده مذهب + +283 +00:33:15,320 --> 00:33:23,680 +الأشاعرة ولذلك أصبح المعتزلة في هذا العصر موضع + +284 +00:33:23,680 --> 00:33:30,700 +تهمة وريبة فأي إنسان ماتهم بالمعتزلة أو بالاعتزال + +285 +00:33:30,700 --> 00:33:38,700 +كان يُأخذ على ذلك يعني يعقب على ذلك ويعرضه إيه + +286 +00:33:38,700 --> 00:33:41,260 +للعقاب + +287 +00:33:43,010 --> 00:33:50,230 +فقال يهجو أحمد ابن أبي دؤاد وهم من المعتزلة وكان + +288 +00:33:50,230 --> 00:33:56,090 +وزيرا ما هذه البدع التي سميتها بالجهل منك العدل + +289 +00:33:56,090 --> 00:34:02,730 +والتوحيد لا أصبحت بالخير عين أبصرة تلك المناخرة + +290 +00:34:02,730 --> 00:34:11,360 +والثنايا السودة طبعا معلوم أن المسائل الكبرىالتي + +291 +00:34:11,360 --> 00:34:19,180 +دار حولها الجدل هي خمس مسائل التوحيد والعدل + +292 +00:34:19,180 --> 00:34:23,840 +والوعدل والعيد والأمر المعروف أن هي على المنكر + +293 +00:34:23,840 --> 00:34:29,640 +والقضية الخامسة اللي هي مرتكب الكبيرة بين منزلتين + +294 +00:34:29,640 --> 00:34:37,160 +فهذه المسائل جعلوها أركانا في علم الكلام اللي هي + +295 +00:34:37,160 --> 00:34:42,830 +المسائل الخامسةالتي يعني دار حولها كتاب شيباني + +296 +00:34:42,830 --> 00:34:47,590 +الأصول الخامسة وطبعا اعتبرها ايه؟ هذه يعني بدعة + +297 +00:34:47,590 --> 00:34:51,390 +لأن أركان الإسلام معلومة معروفة و أركان الإيمان + +298 +00:34:51,390 --> 00:34:57,470 +معروفة جعلوا هذه المسائل الخامسة بدل ايه؟ أركان + +299 +00:34:57,470 --> 00:35:00,890 +الدين أو أركان الإسلام أو أركان الإيمان فذاك + +300 +00:35:00,890 --> 00:35:04,750 +اعتبرها الشعر ايه؟ بدعة فقال ما هذه البدعة؟على + +301 +00:35:04,750 --> 00:35:12,370 +سبيل الإنكار ما هذه البدعة التي سميتها يا أحمد يا + +302 +00:35:12,370 --> 00:35:19,090 +أحمد أو يا أحمد ابن أبي دؤاد بالجهل منك العدل + +303 +00:35:19,090 --> 00:35:25,030 +والتوحيد لا أصبحت بالخير عين أبصرة تلك المناخرة + +304 +00:35:25,030 --> 00:35:29,550 +والثنايا السودة أيضًا في البيت الثاني في استغلال + +305 +00:35:29,550 --> 00:35:37,770 +المظهر العام أو الشكل العامفي الهجاء ايضا وجدنا ان + +306 +00:35:37,770 --> 00:35:42,430 +القضاء والولاء كذلك لم يسلموا من ألسنة الهجائين + +307 +00:35:42,430 --> 00:35:49,110 +فقد طالت كثيرا من القضاء مثل أحمد ابن أبو دؤال + +308 +00:35:49,110 --> 00:36:01,080 +ويحيى ابن أكثم وقضاء آخرونوهجى عبد الصمد إبن + +309 +00:36:01,080 --> 00:36:07,040 +المعذّل صديقًا له ولي النفطات أي عيون النفط إذا + +310 +00:36:07,040 --> 00:36:11,280 +كان النفط في السابق يخرج على شكل أي عيون وينساح في + +311 +00:36:11,280 --> 00:36:18,260 +الصحراء ولا قيمة له إلا أن تعالج به القبل التي بها + +312 +00:36:18,260 --> 00:36:25,440 +جرب لكن اليوم في العصر الحديث الآن يعني أصبح وزير + +313 +00:36:25,440 --> 00:36:32,330 +النفط يعني له قيمة أعلىحتى إن الغرب لا يهتمون بأي + +314 +00:36:32,330 --> 00:36:39,070 +مؤتمر إلا بمؤتمر الدول المصدرة للنفط قال يهجوه + +315 +00:36:39,070 --> 00:36:46,270 +بحفظ عيون النفط أحدثت نخوة فكيف به لو كان نسكا و + +316 +00:36:46,270 --> 00:36:52,670 +عنبرا دع الكبرى و استبقى التواضع إنه قبيح بوال + +317 +00:36:52,670 --> 00:36:57,930 +النفط أن يتكبرطبعا المعلومة أن العرب كانت تحتقر + +318 +00:36:57,930 --> 00:37:04,230 +الصناعات، لا تهتم ولا تعطي اهتمام للصناعات كمرعي + +319 +00:37:04,230 --> 00:37:12,420 +مثلا والتجارةولذلك من ولي النفطات ليس يعني موضعا + +320 +00:37:12,420 --> 00:37:20,440 +للفخر لأن العرب لا تفخر بالصناعات فهجاه بحفظ عيون + +321 +00:37:20,440 --> 00:37:25,420 +النفط أحدثت نخوة فكيف بيه لو كان نسكا و عن برا دع + +322 +00:37:25,420 --> 00:37:32,310 +الكبر اترك الكبر واستبقى التواضعإنه قبيح بوالي + +323 +00:37:32,310 --> 00:37:38,170 +النفط أن يتكبرها وذلك لأن النفط ليس له أهمية وليس + +324 +00:37:38,170 --> 00:37:46,030 +له مكانة مرموقة ولذلك يعني من ولي هذا الأمر ليس + +325 +00:37:46,030 --> 00:37:53,530 +بمفخرة ولا يعني بمكانة رفيعة بل التواضع هو أفضل + +326 +00:37:53,530 --> 00:38:03,390 +لهاأيضًا وجدنا الشعراء يرثون الأطباء بأثوب أن يعني + +327 +00:38:03,390 --> 00:38:10,390 +فيه هجاء وسخرية كما فعل أبو الشبل عاصم ابن وحب + +328 +00:38:10,390 --> 00:38:18,310 +البرجمي يرثي طبيب أحمق بطريقة الهجاء الساخن فقال + +329 +00:38:18,310 --> 00:38:24,270 +يا كساد الخيار شمبرة والأقراسي طرًا ويا كساد + +330 +00:38:24,270 --> 00:38:31,780 +السفوفيلهف نفسي على صنوف رقاعات تولت منه وعقل سخيف + +331 +00:38:31,780 --> 00:38:40,320 +يعني هذه الأدوية سوف تقصد + +332 +00:38:40,320 --> 00:38:47,820 +وتكثر لأن هذا الطبيب كان لا يعالج إلا بهذه الأدوية + +333 +00:38:47,820 --> 00:38:54,920 +المحددة الخيار شنبر والأقراس والسفورو أيضًا هذه + +334 +00:38:54,920 --> 00:39:01,780 +الرقاعات المتبقية إنما تدل على أن هذا الطبيب كان + +335 +00:39:01,780 --> 00:39:09,860 +ذا عقل سخيف والخيار شنبر هو يعني كلمة الخيار على + +336 +00:39:09,860 --> 00:39:18,020 +الفكرة هي كلمة تاريسية معربة وهي في اللغة العربية + +337 +00:39:18,020 --> 00:39:19,720 +القثاء + +338 +00:39:21,520 --> 00:39:29,380 +الخيار شنبر نوع من هو يشبه الخيار وهو نبات يعني + +339 +00:39:29,380 --> 00:39:39,720 +بري يشبه الخيار الصغير عليه وبر و أشواك تشبه + +340 +00:39:39,720 --> 00:39:45,330 +الشنبر ولذلك يسمى خيار شنبروالأقاص يعني ما يتخذ + +341 +00:39:45,330 --> 00:39:50,930 +ايه من الأدوية على شكل قرص صلب والسفوف هو يعني + +342 +00:39:50,930 --> 00:39:58,850 +أدوية مطحونة سواء كانت من صخور من الكلف مثلا أو + +343 +00:39:58,850 --> 00:40:05,310 +الأعشاب الأخرى المطحونةلهف نفسي على صناعي على صنوف + +344 +00:40:05,310 --> 00:40:12,030 +رقاعات تولت منه وعقل سخيف هنا طبعا يتوجه على تلك + +345 +00:40:12,030 --> 00:40:21,810 +الرقاعات الكثيرة التي أهدرت وكانت يعني يعني لا + +346 +00:40:21,810 --> 00:40:29,110 +تشخص الداء بشكل سليم ولا تعطي الدواء المناسبإنما + 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و نحو ذلكبفكي البغل البغل ايه الطحان + +359 +00:42:06,760 --> 00:42:12,700 +وطبعا الطحان كانت تدور حول الرحة فرحة راح بشكل + +360 +00:42:12,700 --> 00:42:18,960 +دائري ويوضع للبغالي التي تجرأ الطحونة الطعام على + +361 +00:42:18,960 --> 00:42:29,040 +يسارها أثناء الدوران فكان يعني البغل ايه يمدهفكّيه + +362 +00:42:29,040 --> 00:42:38,340 +للأكل فشبهه بفكّي البغل عند .. عندما يتناول طعامه + +363 +00:42:38,340 --> 00:42:44,680 +أثناء الطحن إذن وجدنا من كل ما سبق أن الشاعر + +364 +00:42:44,680 --> 00:42:50,700 +العباسي لم يقف عند سلب الفضائل من المهجوم وإلساق + +365 +00:42:50,700 --> 00:42:58,010 +الرذائل به بل تعد ذلك إلى أن يجعل المهجوم أضحكوأن + +366 +00:42:58,010 --> 00:43:04,530 +يستغل العيوب الخلقية والعيوب + +367 +00:43:04,530 --> 00:43:09,590 +التي تتعلق بالمظهر العام التي تعبى عن التحضر + +368 +00:43:09,590 --> 00:43:16,330 +والحضارة وأيضا استغلال المهن والوظائف في الهجارة + +369 +00:43:16,940 --> 00:43:22,620 +وقلنا ايضا ونؤكد على ما قلناه سابقا من ان قصيدة + +370 +00:43:22,620 --> 00:43:28,190 +اذا كانت قصيدة المدح يعني تركز على جنب التحليةفي + +371 +00:43:28,190 --> 00:43:32,770 +المنظومة الأخلاقية العربية فإن قصيد الإيجاء قامت + +372 +00:43:32,770 --> 00:43:38,590 +بدوره التخلية وبذلك تألقت المنظومة الأخلاقية + +373 +00:43:38,590 --> 00:43:43,110 +العربية في الشعر العربي هذا وبالله التوفيق وصل + +374 +00:43:43,110 --> 00:43:48,790 +اللهم على نبينا محمد وعلى آله وصحبه وسلم تسليما + +375 +00:43:48,790 --> 00:43:49,450 +كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/mu4Dy_rx-f4_raw.json b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/mu4Dy_rx-f4_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..06b41c5affa209a1bdc2d5b12d9cf360fc863986 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/mu4Dy_rx-f4_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3302, "start": 5.42, "end": 33.02, "text": "بسم الله الرحمن الرحيم وأصلي وأسلم على نبينا محمد وعلى آله وصحبه وسلم تسليم كثيرة وبعد موضوع هذه المحاضرة إن شاء الله قصيدة الهجاء وما 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الرؤوس خطب جليله ادع غيري إلى عبادة ربيني فإني بواحد مشغول طبعا ذاكره باسم أمه تحقيرا له", "tokens": [2407, 39319, 2655, 2304, 6027, 34892, 33604, 41779, 16490, 9566, 3555, 10874, 20292, 1211, 3224, 1975, 3215, 3615, 32771, 13546, 1829, 30731, 6225, 3555, 18513, 3660, 12602, 21292, 22653, 6156, 28814, 22653, 4724, 14407, 24401, 37893, 17082, 12610, 23032, 3555, 3615, 995, 29910, 995, 37983, 3224, 4724, 32277, 2304, 5551, 2304, 3224, 6055, 5016, 4587, 13546, 995, 46740], "avg_logprob": -0.1848516979459989, "compression_ratio": 1.4, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 1692.83, "end": 1693.61, "word": "واحتمال", "probability": 0.68095703125}, {"start": 1693.61, "end": 1694.19, "word": " الرؤوس", "probability": 0.91748046875}, {"start": 1694.19, "end": 1695.11, "word": " خطب", "probability": 0.96337890625}, {"start": 1695.11, "end": 1695.85, "word": " جليله", "probability": 0.7259521484375}, {"start": 1695.85, "end": 1696.75, "word": " ادع", "probability": 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قزعة فقال + +55 +00:06:16,960 --> 00:06:23,340 +فيه فلا تبخلى بخلى ابن قزعة إنه مخافة أن يرجى نداه + +56 +00:06:23,340 --> 00:06:30,860 +حزينهإذا جيته للعُرف أغلق بابه فلم تلقاه إلا وانت + +57 +00:06:30,860 --> 00:06:37,460 +كمينه طبعا في البيت الأول نرى يعني مهارات عقلية + +58 +00:06:37,460 --> 00:06:44,200 +واسلوبية إذ قلنا إن العصر العباسي يعني كشف عن + +59 +00:06:44,200 --> 00:06:48,140 +عقلية عربية + +60 +00:06:48,140 --> 00:06:58,320 +نشطة متفلسفة جدلة فقالفلا تبخلى بخل بن قزعة إنه + +61 +00:06:58,320 --> 00:07:07,000 +مخافة أن يرجى نداه حزينه فهو حزين على شيء لم يتحصل + +62 +00:07:07,000 --> 00:07:14,060 +عليه أو لم يحصل لأن الحزن يكون على فائد والخوف على + +63 +00:07:14,060 --> 00:07:23,860 +شيء يرجى حصوله فهو حزين على شيء لم يتم حصولهوهذا + +64 +00:07:23,860 --> 00:07:31,060 +تعميق للبخل ثم بعد ذلك في البيت الثاني جعله أضحوك + +65 +00:07:31,060 --> 00:07:38,580 +إذا جئته للعرفي أي طالبًا لسؤالي أغلق بابه ما الحل + +66 +00:07:38,580 --> 00:07:45,020 +إذا أمام الشعر؟فلم تلقاه إلا و أنت كمينه لا يمكن + +67 +00:07:45,020 --> 00:07:51,600 +أن نتحصل على هذا البخيل إلا من خلال كمين أن يكمل + +68 +00:07:51,600 --> 00:08:00,400 +الإنسان لهذا البخيل إلا و أنت كمينه كمينه على ود + +69 +00:08:00,400 --> 00:08:07,200 +الفعيل بمعنى الفاعل وأيضا اسم المفعول كامن و مكمون + +70 +00:08:08,020 --> 00:08:13,220 +فهي صورة كما نرى صورته تثير الضحك وتجعل من المهجوء + +71 +00:08:13,220 --> 00:08:20,540 +أضحوكة وكذلك فعل أبو تمام في هجاء بخيل حريص على + +72 +00:08:20,540 --> 00:08:29,630 +رغفانه صدق أليته إن قال مجتهدا لا والرغيففذاك البر + +73 +00:08:29,630 --> 00:08:37,590 +من قسمه قد كان يعجبني لو أن غيرته على جراذقه كانت + +74 +00:08:37,590 --> 00:08:45,430 +على حرمه إن رمت قتلته فافتك بخبزته فإن موقعها من + +75 +00:08:45,430 --> 00:08:55,130 +لحمه ودمه صدق يعني صدق يمينه أو حلفه إن حلفبصدق و + +76 +00:08:55,130 --> 00:09:02,650 +بإرادة قوية لا و الرغيف لأن الحالف إنما يعظم + +77 +00:09:02,650 --> 00:09:10,510 +المحلوف به ولذلك نهى الإسلام أن نحلف بغير الله لأن + +78 +00:09:10,510 --> 00:09:18,150 +الحالف بغير الله تعظيم لغير الله فهو من الشرك فذاك + +79 +00:09:18,150 --> 00:09:24,890 +البر من قسمه إذا حلفبالرغيف فإنه يبر بقسمه ولا + +80 +00:09:24,890 --> 00:09:32,350 +يحنث وهذا دليل على أنه يعظم الرغيف أي أن الشاعر + +81 +00:09:32,350 --> 00:09:37,870 +يعمق معنى البخل وأيضا + +82 +00:09:37,870 --> 00:09:44,350 +يقول قد كان يعجبني لو أن غيرته على جراذقه كانت على + +83 +00:09:44,350 --> 00:09:53,890 +حرمهيتمنى الشاعر ويود ويعجب لو أن هذه الغيرة كانت + +84 +00:09:53,890 --> 00:10:02,890 +على محارمه وعلى معتقداته وعلى قيمه لكنها كانت عند + +85 +00:10:02,890 --> 00:10:11,910 +المهجوم على الأرغفة وجراذق جمع جرذقوهي كلمة معرّبة + +86 +00:10:11,910 --> 00:10:20,730 +كلمة ثارسية معرّبة جمع جرذق جراذق إن رمت قتلته + +87 +00:10:20,730 --> 00:10:27,330 +فافتك بخبزته فإن موقعها من لحمه ودمه إن أردت أو + +88 +00:10:27,330 --> 00:10:35,710 +رغبت في أن تقتله قتلة شنيعةففتك بخبزته فإن موقعها + +89 +00:10:35,710 --> 00:10:42,790 +من لحمه ودمه قلنا قتلته الشنيعة طبعا من خلال + +90 +00:10:42,790 --> 00:10:47,370 +السياق فهمنا أن القتلة التي يريدها الشاعر هي + +91 +00:10:47,370 --> 00:10:54,470 +القتلة الشنيعة لأن السياق له سلطة على النص أو على + +92 +00:10:54,470 --> 00:11:00,910 +العبارة أو الأسلوب له سلطة صرفية ودلالية ونحوية + +93 +00:11:00,910 --> 00:11:08,510 +أيضاالصياق له سلطة نحوية وصرفية ودلالية وهنا له + +94 +00:11:08,510 --> 00:11:16,230 +سلطة دلالية أي إن رمت إن رغبت أن تقتله قتلة شنيعة + +95 +00:11:16,230 --> 00:11:24,510 +فافتك بخبزته اكثر رغيب الخبز فإنه يقتل قتلة شنيعة + +96 +00:11:24,510 --> 00:11:33,440 +لأنها تقع في موقع الروح بين اللحم والدمفنلاحظ أنه + +97 +00:11:33,440 --> 00:11:40,120 +جعل من المهجوم أضحوك إذ كيف يموت إنسان ميتة شنيعة + +98 +00:11:40,120 --> 00:11:46,700 +لسبب بسيط وسبب + +99 +00:11:46,700 --> 00:11:51,620 +مادي قليل + +100 +00:11:51,620 --> 00:11:57,360 +وهو الرغيف فهذا تعميق للبخل عند المهجوم وجعله + +101 +00:11:57,360 --> 00:11:58,820 +أضحوك + +102 +00:12:00,530 --> 00:12:08,430 +أيضًا وجدنا ابن رومي يهجو رجلا آخر بخيلا طبعًا هنا + +103 +00:12:08,430 --> 00:12:16,530 +يعني نجد أن هذه أصبح ظاهرة في الشعر العباسي ما يدل + +104 +00:12:16,530 --> 00:12:21,710 +على أنه بالفعل كان هناك تطور وتجديد في قصيدة + +105 +00:12:21,710 --> 00:12:30,350 +الهجام فقال يهجو بخيلايقتر عيسى على نفسه وليس بباق + +106 +00:12:30,350 --> 00:12:39,630 +ولا خالد فلو يستطيع لتقتله تنفس من ممخ واحد أي أنه + +107 +00:12:39,630 --> 00:12:47,050 +طبعا يريد أن يعمق البخل عند البخيل معنا واضحوكة + +108 +00:12:47,050 --> 00:12:53,360 +فيقول أنه بخيل على نفسهوالمعلومة أن الإنسان قد + +109 +00:12:53,360 --> 00:12:58,100 +يكون بخيلا على غيره في الغالب أما أن يبخل على نفسه + +110 +00:12:58,100 --> 00:13:05,750 +فهذا في حكم النادر فهو يبخل على نفسهوطبعا البيت + +111 +00:13:05,750 --> 00:13:12,230 +الثاني يشير إلى أنه أي الشاعر جعل المهجوء أضحك فلو + +112 +00:13:12,230 --> 00:13:18,310 +يستطيع لتقتيله تنفس من منخ واحد فانظر إلى إنسان + +113 +00:13:18,310 --> 00:13:24,730 +يتنفس من منخ واحد وبإمكانه أن يتنفس منه منخرين + +114 +00:13:24,730 --> 00:13:30,750 +ولكن الشاعر طبعا في هذه الصورة جعل المهجوء أضحك + +115 +00:13:34,230 --> 00:13:41,510 +أيضًا وجدنا من التجديد أن الشاعر العباسي يستغل + +116 +00:13:41,510 --> 00:13:47,930 +العيوب الخلقية الموجودة في المهجوم كالعمى مثلًا + +117 +00:13:47,930 --> 00:13:55,530 +كما فعل حمد عجرد يهجو بشارًا فقال وأعمى يشبه القرد + +118 +00:13:55,530 --> 00:14:02,490 +إذا ما عمي القرددنيء لم يروح يوما إلى مجد ولم + +119 +00:14:02,490 --> 00:14:08,170 +يقضوا ولم يحضر مع الحضار في خير ولم يبدوا ولم يخش + +120 +00:14:08,170 --> 00:14:15,170 +له ذمن ولم يرجى له حمده وأعمى استقل الشاعر هذا + +121 +00:14:15,170 --> 00:14:22,190 +العيد الخلقي في المهجومفهو أعمى ولم يقف الشعل عند + +122 +00:14:22,190 --> 00:14:31,110 +هذا العيب بل أيضًا جعل منه صورة مضحكة فقال أنت قرد + +123 +00:14:31,110 --> 00:14:39,470 +أعمى إذا ما عمي القرددنيق لم يروح يوما إلى مجد ولم + +124 +00:14:39,470 --> 00:14:47,770 +يغضب وكلمة دنيق يعني منحت في الأخلاق وهذه الكلمة + +125 +00:14:47,770 --> 00:14:55,030 +يعني ربما كانت نادرة في الشاعر الجاهلي لكن في + +126 +00:14:55,030 --> 00:15:02,330 +الشاعر العباسي يعني كثرت لأن الشاعر ينتمي إلى بيئة + +127 +00:15:02,330 --> 00:15:11,510 +متحضرةفكانت تهتم ب مثل هذه الأخلاق الحضرية ولم + +128 +00:15:11,510 --> 00:15:16,150 +يحصل مع الحضار في خير ولم يبدو ولم يخش له ذم ولم + +129 +00:15:16,150 --> 00:15:24,630 +يرجى له حمد متى يصل الإنسان إلى أن يصبح ذمه كحمده + +130 +00:15:24,630 --> 00:15:33,700 +إذا كان فاقدا للقاعد الأخلاقية؟من تقوى أو مرؤة أو + +131 +00:15:33,700 --> 00:15:39,220 +حياء إذا فقد القاعدة الأخلاقية فإنه يستوي عنده + +132 +00:15:39,220 --> 00:15:46,720 +الذنب والحمد ويستوي عنده تعلي الخير مع تعلي الشر + +133 +00:15:46,720 --> 00:15:55,720 +إذا استوى هذان الأمران فإن هناك فقد للقاعدة + +134 +00:15:55,720 --> 00:15:59,120 +الأخلاقية عند المهجوم + +135 +00:16:01,810 --> 00:16:10,950 +و يهجو حمّاد أيضًا بشارًا من باب آخر فأتاهم من باب + +136 +00:16:10,950 --> 00:16:18,130 +الحضارة والتحطر فقال يعني مستغلا الهيئة العامة + +137 +00:16:18,130 --> 00:16:26,100 +للمهجوم والنظافة الشخصية والشكل العام فقالأي حمّاد + +138 +00:16:26,100 --> 00:16:33,800 +يهجو بشرًا، نهاره أخبث من ليله، ويومه أخبث من + +139 +00:16:33,800 --> 00:16:41,420 +أمسه، وليس بالمقلع عن غيّه، حتى يوارى في ثرى رمسه، + +140 +00:16:41,420 --> 00:16:47,800 +ما خلق الله شبيهًا له من جنه طرًا ومن إنسهوالله ما + +141 +00:16:47,800 --> 00:16:52,700 +الخنزير في نتنه بربعه في النتن أو خمسه بل ريحه + +142 +00:16:52,700 --> 00:16:59,020 +أطيب من ريحه ومفسه ألين من مفسه ووجهه أحسن من وجهه + +143 +00:16:59,020 --> 00:17:06,760 +ونفسه أنبل من نفسه نهاره أخبث من ليله ويومه أخبث + +144 +00:17:06,760 --> 00:17:12,060 +من أمسه دائما الشاعر يريد أن يعمق المعنى في + +145 +00:17:12,060 --> 00:17:17,540 +المهجومأو في المبدوح أو في أي جانب آخر الشاعر + +146 +00:17:17,540 --> 00:17:26,660 +دائما يعمق المعنى دائما يبحث عن المعنى العميق يريد + +147 +00:17:26,660 --> 00:17:34,900 +أن يعمق معنى الخبزفقال نهاره أخبث من ليله النهار + +148 +00:17:34,900 --> 00:17:40,380 +أخبث من الليل طبعا الإنسان يعني يكون في الليل أخبث + +149 +00:17:40,380 --> 00:17:46,780 +لأن الليل يستر العيوب لكن هنا قال نهاره أخبث من + +150 +00:17:46,780 --> 00:17:54,570 +ليلهيعني الخبث يتزايد عند المهجوم ويومه أخبث من + +151 +00:17:54,570 --> 00:18:01,830 +أمسه أي أن الخبث يزداد باستمرار وهذا يعطي مؤشر + +152 +00:18:01,830 --> 00:18:10,670 +وصفة في علاقته مع الخبث أي أن هذا الخبث ليس فعلا + +153 +00:18:10,670 --> 00:18:21,550 +سلوكيا فقط بل هو إيرادة أخلاقيةيعني أنك أي المهجوم + +154 +00:18:21,550 --> 00:18:28,790 +أنك خبيث ومتى يكون الإنسان خبيثا الإنسان لا يكون + +155 +00:18:28,790 --> 00:18:36,050 +خبيثا بفعل الخبث فقط بل بإرادة الخبث فإرادة الخبث + +156 +00:18:36,050 --> 00:18:45,000 +هي التي تصف الإنسان بكلمة خبيثوكذلك متى يكون + +157 +00:18:45,000 --> 00:18:51,000 +الإنسان كريما إذا كان لديه إرادة صادقة في الكرام + +158 +00:18:51,000 --> 00:18:56,660 +ومتى يكون تقيا إذا كانت لديه إرادة صادقة في التقوى + +159 +00:18:56,660 --> 00:19:01,880 +ومتى يكون عفيفا إذا كانت لديه إرادة صادقة في + +160 +00:19:01,880 --> 00:19:07,630 +التقوىفالشاعر يريد أن يقول إنك خبيث، لديك إرادة + +161 +00:19:07,630 --> 00:19:14,290 +شريرة، إرادة خبث، ودليل ذلك هذا التطور والتناني + +162 +00:19:14,290 --> 00:19:23,110 +السلوكي، فنهارك أخبث من ليلك، ويومك أخبث من أمسك، + +163 +00:19:23,110 --> 00:19:29,260 +والدليل على ذلك أيضًا ليس لديك إرادة،وليس بالمقلع + +164 +00:19:29,260 --> 00:19:37,940 +عن غيّه يعني ليس لديه إرادة للإقلاع ولذلك عبر باسم + +165 +00:19:37,940 --> 00:19:43,740 +الفعل المقلع ولم يعبر بالفعل يعني لم يقول لا تقلع + +166 +00:19:43,740 --> 00:19:50,940 +عن غيّك وإنما قال وليس بالمقلع عن غيّه وهنا أيضًا + +167 +00:19:50,940 --> 00:19:58,610 +سغراق من زمني حتى يوارث في ثرى رمسهوكلمة رمسه هي + +168 +00:19:58,610 --> 00:20:02,430 +القبر القديم يعني يريد أن يعمق المعنى من خلال + +169 +00:20:02,430 --> 00:20:07,050 +تعميق البعد الزمني الاستغلاق الزمني حتى يوارث في + +170 +00:20:07,050 --> 00:20:14,490 +سرى رمسه أيضًا يعمق المعنى وما يزال الشاعر يعمق + +171 +00:20:14,490 --> 00:20:20,970 +المعنى بيتًا بعد بيت فقال ما خلق الله شبيه له من + +172 +00:20:20,970 --> 00:20:28,380 +جنه طرًا ومن إنسه يعني ليس له شبيهأيضًا من الأشياء + +173 +00:20:28,380 --> 00:20:35,740 +التي يعمق والأدوات التي يعمق بها هذا الخبس اليمين + +174 +00:20:35,740 --> 00:20:42,720 +أو القسم في قوله والله ما الخنزير في نتنه بربعه في + +175 +00:20:42,720 --> 00:20:52,210 +النتن أو خمسه يعني الخنزير ليس في قراهة رائحتهبربع + +176 +00:20:52,210 --> 00:20:59,170 +ما في بشار أو خمسه من الرائحة الكريهة بل أيضا يعمق + +177 +00:20:59,170 --> 00:21:06,830 +المعنى بكلمة بل التي هي للادراب الانتقالي لأن بل + +178 +00:21:06,830 --> 00:21:12,660 +تنقل معنى من معنى قليل إلى معنى أعمقبل ريحه أطيب + +179 +00:21:12,660 --> 00:21:19,560 +من ريحه ومسه ألين من نفسه ووجهه أحسن من وجهه ونفسه + +180 +00:21:19,560 --> 00:21:25,320 +أنبل من نفسه يعني الخنزير لديه نب الأخلاقي يعني + +181 +00:21:25,320 --> 00:21:31,110 +عنده طبعا هذه المبالغةوطبعا كما ذكرنا من قبل أن + +182 +00:21:31,110 --> 00:21:36,430 +المبالغة ظاهرة من ظواهر الأدب أو الشعر العباسي + +183 +00:21:36,430 --> 00:21:44,650 +وعوده أكرم من عوده وجنسه أكرم من جنسه أيضا من + +184 +00:21:44,650 --> 00:21:52,890 +استغلال المظهر العام والنظافة الشخصية قول الصولي + +185 +00:21:52,890 --> 00:21:57,710 +إبراهيم بن العباس الصولي يهجوا شخصا + +186 +00:21:59,760 --> 00:22:06,060 +فقال فيه وكن كيف شئت و قل ما تشاء وأبرق يمينا + +187 +00:22:06,060 --> 00:22:13,260 +وأرعد شمالا نجى بك لؤمك منج الذباب حمته مقاذيره أن + +188 +00:22:13,260 --> 00:22:18,600 +يُنالطبعا هذه العبارة كون كيف شئ وقول ما تشاء + +189 +00:22:18,600 --> 00:22:24,360 +وأبرق مينا وأبعد شمالا يعني يستوي فيها أيه الخلق + +190 +00:22:24,360 --> 00:22:31,820 +السيء مع الخلق الفاضل طبعا هذه لا يكون إلا إذا كان + +191 +00:22:31,820 --> 00:22:37,960 +ايه المهجوم فاقدا لقاعدة أخلاقيةوطبعا القاعدة + +192 +00:22:37,960 --> 00:22:42,240 +الأخلاقية اما ان تكون التقوى مثلا تقوى قاعدة + +193 +00:22:42,240 --> 00:22:47,540 +أخلاقية المرؤة مثلا بالنسبة للأخلاق الجاهلية قائمة + +194 +00:22:47,540 --> 00:22:52,680 +على قاعدة المرؤة في عندي قاعدة الحياء أيضا قاعدة + +195 +00:22:52,680 --> 00:23:00,420 +أخلاقية بس يعني الحياء قاعدة أخلاقية مانعة يعني + +196 +00:23:00,420 --> 00:23:08,340 +تمنع ايه التخلية يعني قاعدة أخلاقية للتخليةيعني + +197 +00:23:08,340 --> 00:23:13,560 +تمنع الإنسان من فعله القبيح طبعا كما قلنا إن + +198 +00:23:13,560 --> 00:23:21,860 +الأخلاق فيها إيه فيها تحلية وتخلية إصبر تحلية بلا + +199 +00:23:21,860 --> 00:23:28,140 +جزع لأ بلا جزع تخلية تساوي الخلق الجميل الصبر + +200 +00:23:28,140 --> 00:23:35,160 +الجميل صبر بلا جزع فهنا + +201 +00:23:35,160 --> 00:23:44,930 +عندما يستويالخلق الفاضل مع ضده يكون المهجوم فاقدا + +202 +00:23:44,930 --> 00:23:49,410 +لقاعدة الحياة + +203 +00:23:49,410 --> 00:23:56,870 +وهي قاعدة أخلاقية مانعة بالتخلية تمنع الإنسان من + +204 +00:23:56,870 --> 00:24:03,360 +فعل الأشياء القبيحةكما تقول مثل بما ان انا رئيس او + +205 +00:24:03,360 --> 00:24:09,940 +زعيم او وزير او أستاذ عيب علي ان افعل كذا هذا ايه + +206 +00:24:09,940 --> 00:24:19,430 +حياة قاعدة أخلاقية وهي الحياةوقم كيف شئت وقول ما + +207 +00:24:19,430 --> 00:24:24,790 +تشاء وأبرق يمينا وأرعد سمالا نجا بك لؤمك منجا + +208 +00:24:24,790 --> 00:24:30,330 +الذبابي حمته مقاذيره أن يُنالا من المعلوم أن الذي + +209 +00:24:30,330 --> 00:24:36,410 +يحمي الإنسان هو الأخلاق أخلاقه الفاضلة وصفاته + +210 +00:24:36,410 --> 00:24:46,270 +الطيبة لكن هذا الذي بين أيدينا حمته أخلاقه السيئة + +211 +00:24:48,320 --> 00:24:55,180 +حمته مقاذيره أن ينال أن ينال طبعا هنا ينال ينال + +212 +00:24:55,180 --> 00:24:59,980 +جاي من إيه؟ من النول عفو جاي من النيل وليس من + +213 +00:24:59,980 --> 00:25:08,800 +النول أن ينال يعني أن يصل إليه + +214 +00:25:08,800 --> 00:25:16,300 +السوق نجى بك لؤمك منجى الذباب حمته مقاذيره أن ينال + +215 +00:25:17,430 --> 00:25:24,750 +أن يصل إليه السوء أو الأذان فأنت الذي يحميك قلة + +216 +00:25:24,750 --> 00:25:32,350 +أدبك و قلة حيائك و لؤمك أيضًا + +217 +00:25:32,350 --> 00:25:40,450 +من العيوب الخلقية ما هجى به ابن الرومي رجلا أحدب + +218 +00:25:40,450 --> 00:25:50,030 +فقال قصرت أخاديعه و غاب قذالهفكأنه متربص أن يصفع + +219 +00:25:50,030 --> 00:25:58,990 +وكأنما صفعت قفاه مرة و أحس ثانية لها فتجمع طبعا + +220 +00:25:58,990 --> 00:26:06,470 +الإنسان له أخدعان في العنقفي مؤخرة العنق هناك + +221 +00:26:06,470 --> 00:26:13,830 +أخدعان لرجل وسمى المخدع لأن الإنسان ينام على شقه + +222 +00:26:13,830 --> 00:26:17,950 +الأيمن أو الأيسا على الأخدع الأيمن أو الأخدع + +223 +00:26:17,950 --> 00:26:23,830 +الأيسا ثم ايه سمى مخدع يعني المكان الذي ينام فيه + +224 +00:26:24,750 --> 00:26:32,990 +قصرت أخادعه يعني العروق التي تغذي المخ قصرت أصبعها + +225 +00:26:32,990 --> 00:26:39,530 +قصيرة وغاب قذاله قذال مؤخرة الرأس يعني دخل رأسه في + +226 +00:26:39,530 --> 00:26:47,450 +في ظهره فكأنه متربص أن يصفع متربص يعني يأخذ الحيط + +227 +00:26:47,450 --> 00:26:51,030 +و الحظر من أيه من أن يصفع على قفاه + +228 +00:26:53,670 --> 00:27:00,890 +وكأنما صفعت قفاه مرة وكأنما يعني صفعة من قبل ولذلك + +229 +00:27:00,890 --> 00:27:10,990 +أحس بأن ثمة صفعة أخرى ستقع على رقبته فتجمع عروق + +230 +00:27:10,990 --> 00:27:18,890 +رقبته استعدادا للصفعة الثانية وكما نرى هنا جعل من + +231 +00:27:18,890 --> 00:27:26,010 +المهجوم أيضا أضحكو استغل أيضًا عيبًا خلقيًا في + +232 +00:27:26,010 --> 00:27:33,650 +المهجوم أيضًا من المعاني التي استعملها الشاعر + +233 +00:27:33,650 --> 00:27:39,570 +العباسي في الهجاة اللي هو الزندقة، تهمة الزندقة + +234 +00:27:40,820 --> 00:27:48,580 +فبشار بيرد كان أعمى ولذلك يعني رأى من تهمة الذندقة + +235 +00:27:48,580 --> 00:27:55,460 +أسهل وسيلة وأرخص وسيلة لإيقاع المهجوم في الأذى + +236 +00:27:55,460 --> 00:27:58,320 +والإيلام + +237 +00:27:59,250 --> 00:28:06,750 +فقال يهجو حمال عجرد الذي سبق أنهجاه قبل قليل قال + +238 +00:28:06,750 --> 00:28:14,190 +بشار فيه يا ابن نهيه رأس علي ثقيلهواحتمال الرؤوس + +239 +00:28:14,190 --> 00:28:21,030 +خطب جليله ادع غيري إلى عبادة ربيني فإني بواحد + +240 +00:28:21,030 --> 00:28:32,320 +مشغول طبعا ذاكره باسم أمه تحقيرا لهفيقول له يا ابن + +241 +00:28:32,320 --> 00:28:38,700 +نهية رأس علي ثقيله يعني عندي من الهموم التي تثقل + +242 +00:28:38,700 --> 00:28:48,900 +رأسي وهذا ألم شديد فانا لا احتمل اي دعوة اخرى + +243 +00:28:48,900 --> 00:28:54,940 +ادعوا غيري الى الذنبقة الى عبادة ربين لأن الذنبق + +244 +00:28:54,940 --> 00:29:00,210 +طبعا يؤمنون بإلهين اثنينالذندقة والعقائد الثانوية + +245 +00:29:00,210 --> 00:29:05,190 +زي المزاكية والمنوية والذراد الشتية كلها عقائد + +246 +00:29:05,190 --> 00:29:11,590 +ثانوية ادع غيري إلى عبادة ربين إلى الذندقة فإني + +247 +00:29:11,590 --> 00:29:19,570 +بواحد مشغول فإني مشغول بعقيد التوحيد ولكن حمدا مكر + +248 +00:29:19,570 --> 00:29:27,170 +به وأشع بين الناسفإني عن واحد مشغول يعني إني عن + +249 +00:29:27,170 --> 00:29:34,350 +عقيد التوحيد مشغول فقال بشار لقد عرضني للقتل + +250 +00:29:37,140 --> 00:29:42,200 +ولأن بشار كما قلت كان أعمى فقد اتخذ هذه الوسيلة + +251 +00:29:42,200 --> 00:29:47,680 +وهي وسيلة كما ذكرت رخيصة وسهلة بالنسبة لردر مكفوف + +252 +00:29:47,680 --> 00:29:57,280 +أعمى في هجاء شخص آخر هو عمارة ابن حربية فقال لو + +253 +00:29:57,280 --> 00:30:04,130 +كنت عماره عمارهلو كنت زنديقًا عمار حبوتني أو كنت + +254 +00:30:04,130 --> 00:30:07,830 +أعبد غير + +255 +00:30:07,830 --> 00:30:14,570 +ربي محمد أو كنت أعبد غير ربي محمدي لكنني وحدت ربي + +256 +00:30:14,570 --> 00:30:22,190 +مخلصًا فجفوتني بغضًا لكل موحده لو كنت زنديقًا عمار + +257 +00:30:22,190 --> 00:30:30,840 +يعنيعمار ابن الحربية حبوتني يعني أكرمتني و يعني + +258 +00:30:30,840 --> 00:30:37,080 +أكرمتني و نلت ملكي على الحفاوة و التقدية و + +259 +00:30:37,080 --> 00:30:44,100 +الاحترام ولكن و .. و لو كنت كذلك ايه أعبد غير ربي + +260 +00:30:44,100 --> 00:30:48,580 +محمد فانت تحتفي بهؤلاء بهؤلاء الذنادق أو الذين + +261 +00:30:48,580 --> 00:30:53,720 +يخرجون على دين محمد صلى الله عليه و سلم لكن اناكنت + +262 +00:30:53,720 --> 00:30:59,500 +موحدًا، فلذلك أنت بغضني وابتعدت عني وجفوتني لأنك + +263 +00:30:59,500 --> 00:31:08,660 +تبغض الموحدين وتحب الزنادقة والملاحدين أيضًا لأما + +264 +00:31:08,660 --> 00:31:14,340 +الشاعر عباسي بين المهجوم ومعاني الهجام فإذا كان + +265 +00:31:14,340 --> 00:31:18,540 +كاتبًا هجي بالزنادقة + +266 +00:31:20,330 --> 00:31:25,550 +كما قال ابراهيم ابن العباس الصولى في محمد ابن عبد + +267 +00:31:25,550 --> 00:31:32,410 +الملك الزياد حيما دينه على دين مانى ومانى طبعا + +268 +00:31:32,410 --> 00:31:41,330 +ومنها المانوية عقيدة من عقائد الثانوية بزوال من + +269 +00:31:41,330 --> 00:31:43,330 +نعمة وعقابى + +270 +00:31:45,200 --> 00:31:51,640 +حي من أصبح الغداة وزيرا، وهو بالأمس كاتب بن شهابي، + +271 +00:31:51,640 --> 00:31:58,360 +حي يعني بشر من دينه على دين ماني، بماذا يبشره؟ + +272 +00:31:58,360 --> 00:32:07,080 +بزوال من نعمة وعقامة، طبعا هنا هذا أمر، أسلوب أمر، + +273 +00:32:07,080 --> 00:32:14,780 +وهو أسلوب مجازي طبعا، غرضه التهديد أو السخريةلأن + +274 +00:32:14,780 --> 00:32:21,100 +طبعا الأغراض البلاغية تتعدد كملعلة النحوية لأن + +275 +00:32:21,100 --> 00:32:28,780 +البلاغة والنحو يتناولان المعنى حي من أصبح الغدات + +276 +00:32:28,780 --> 00:32:35,420 +وزيرا وهو بالأمس كاتب لشهابي حي + +277 +00:32:35,420 --> 00:32:40,200 +يعني بشر الذي أصبح اليوم وزيرا وكان بالأمس كاتب + +278 +00:32:40,200 --> 00:32:43,160 +لأحد الذنادق + +279 +00:32:46,190 --> 00:32:54,590 +أيضًا استغل الهجاء المذهبي بسبب وجود طرق ومذاهد + +280 +00:32:54,590 --> 00:32:59,390 +دينية فقال يا ابن الجهم وطبعًا ابن الجهم كان من + +281 +00:32:59,390 --> 00:33:06,310 +شعراء أهل السنة ومعلوم أن المتوكل ألغى القول بخلق + +282 +00:33:06,310 --> 00:33:15,320 +القرآن و ألغى المذهب الاعتزاليفجاء بعده مذهب + +283 +00:33:15,320 --> 00:33:23,680 +الأشاعرة ولذلك أصبح المعتزلة في هذا العصر موضع + +284 +00:33:23,680 --> 00:33:30,700 +تهمة وريبة فأي إنسان ماتهم بالمعتزلة أو بالاعتزال + +285 +00:33:30,700 --> 00:33:38,700 +كان يُأخذ على ذلك يعني يعقب على ذلك ويعرضه إيه + +286 +00:33:38,700 --> 00:33:41,260 +للعقاب + +287 +00:33:43,010 --> 00:33:50,230 +فقال يهجو أحمد ابن أبي دؤاد وهم من المعتزلة وكان + +288 +00:33:50,230 --> 00:33:56,090 +وزيرا ما هذه البدع التي سميتها بالجهل منك العدل + +289 +00:33:56,090 --> 00:34:02,730 +والتوحيد لا أصبحت بالخير عين أبصرة تلك المناخرة + +290 +00:34:02,730 --> 00:34:11,360 +والثنايا السودة طبعا معلوم أن المسائل الكبرىالتي + +291 +00:34:11,360 --> 00:34:19,180 +دار حولها الجدل هي خمس مسائل التوحيد والعدل + +292 +00:34:19,180 --> 00:34:23,840 +والوعدل والعيد والأمر المعروف أن هي على المنكر + +293 +00:34:23,840 --> 00:34:29,640 +والقضية الخامسة اللي هي مرتكب الكبيرة بين منزلتين + +294 +00:34:29,640 --> 00:34:37,160 +فهذه المسائل جعلوها أركانا في علم الكلام اللي هي + +295 +00:34:37,160 --> 00:34:42,830 +المسائل الخامسةالتي يعني دار حولها كتاب شيباني + +296 +00:34:42,830 --> 00:34:47,590 +الأصول الخامسة وطبعا اعتبرها ايه؟ هذه يعني بدعة + +297 +00:34:47,590 --> 00:34:51,390 +لأن أركان الإسلام معلومة معروفة و أركان الإيمان + +298 +00:34:51,390 --> 00:34:57,470 +معروفة جعلوا هذه المسائل الخامسة بدل ايه؟ أركان + +299 +00:34:57,470 --> 00:35:00,890 +الدين أو أركان الإسلام أو أركان الإيمان فذاك + +300 +00:35:00,890 --> 00:35:04,750 +اعتبرها الشعر ايه؟ بدعة فقال ما هذه البدعة؟على + +301 +00:35:04,750 --> 00:35:12,370 +سبيل الإنكار ما هذه البدعة التي سميتها يا أحمد يا + +302 +00:35:12,370 --> 00:35:19,090 +أحمد أو يا أحمد ابن أبي دؤاد بالجهل منك العدل + +303 +00:35:19,090 --> 00:35:25,030 +والتوحيد لا أصبحت بالخير عين أبصرة تلك المناخرة + +304 +00:35:25,030 --> 00:35:29,550 +والثنايا السودة أيضًا في البيت الثاني في استغلال + +305 +00:35:29,550 --> 00:35:37,770 +المظهر العام أو الشكل العامفي الهجاء ايضا وجدنا ان + +306 +00:35:37,770 --> 00:35:42,430 +القضاء والولاء كذلك لم يسلموا من ألسنة الهجائين + +307 +00:35:42,430 --> 00:35:49,110 +فقد طالت كثيرا من القضاء مثل أحمد ابن أبو دؤال + +308 +00:35:49,110 --> 00:36:01,080 +ويحيى ابن أكثم وقضاء آخرونوهجى عبد الصمد إبن + +309 +00:36:01,080 --> 00:36:07,040 +المعذّل صديقًا له ولي النفطات أي عيون النفط إذا + +310 +00:36:07,040 --> 00:36:11,280 +كان النفط في السابق يخرج على شكل أي عيون وينساح في + +311 +00:36:11,280 --> 00:36:18,260 +الصحراء ولا قيمة له إلا أن تعالج به القبل التي بها + +312 +00:36:18,260 --> 00:36:25,440 +جرب لكن اليوم في العصر الحديث الآن يعني أصبح وزير + +313 +00:36:25,440 --> 00:36:32,330 +النفط يعني له قيمة أعلىحتى إن الغرب لا يهتمون بأي + +314 +00:36:32,330 --> 00:36:39,070 +مؤتمر إلا بمؤتمر الدول المصدرة للنفط قال يهجوه + +315 +00:36:39,070 --> 00:36:46,270 +بحفظ عيون النفط أحدثت نخوة فكيف به لو كان نسكا و + +316 +00:36:46,270 --> 00:36:52,670 +عنبرا دع الكبرى و استبقى التواضع إنه قبيح بوال + +317 +00:36:52,670 --> 00:36:57,930 +النفط أن يتكبرطبعا المعلومة أن العرب كانت تحتقر + +318 +00:36:57,930 --> 00:37:04,230 +الصناعات، لا تهتم ولا تعطي اهتمام للصناعات كمرعي + +319 +00:37:04,230 --> 00:37:12,420 +مثلا والتجارةولذلك من ولي النفطات ليس يعني موضعا + +320 +00:37:12,420 --> 00:37:20,440 +للفخر لأن العرب لا تفخر بالصناعات فهجاه بحفظ عيون + +321 +00:37:20,440 --> 00:37:25,420 +النفط أحدثت نخوة فكيف بيه لو كان نسكا و عن برا دع + +322 +00:37:25,420 --> 00:37:32,310 +الكبر اترك الكبر واستبقى التواضعإنه قبيح بوالي + +323 +00:37:32,310 --> 00:37:38,170 +النفط أن يتكبرها وذلك لأن النفط ليس له أهمية وليس + +324 +00:37:38,170 --> 00:37:46,030 +له مكانة مرموقة ولذلك يعني من ولي هذا الأمر ليس + +325 +00:37:46,030 --> 00:37:53,530 +بمفخرة ولا يعني بمكانة رفيعة بل التواضع هو أفضل + +326 +00:37:53,530 --> 00:38:03,390 +لهاأيضًا وجدنا الشعراء يرثون الأطباء بأثوب أن يعني + +327 +00:38:03,390 --> 00:38:10,390 +فيه هجاء وسخرية كما فعل أبو الشبل عاصم ابن وحب + +328 +00:38:10,390 --> 00:38:18,310 +البرجمي يرثي طبيب أحمق بطريقة الهجاء الساخن فقال + +329 +00:38:18,310 --> 00:38:24,270 +يا كساد الخيار شمبرة والأقراسي طرًا ويا كساد + +330 +00:38:24,270 --> 00:38:31,780 +السفوفيلهف نفسي على صنوف رقاعات تولت منه وعقل سخيف + +331 +00:38:31,780 --> 00:38:40,320 +يعني هذه الأدوية سوف تقصد + +332 +00:38:40,320 --> 00:38:47,820 +وتكثر لأن هذا الطبيب كان لا يعالج إلا بهذه الأدوية + +333 +00:38:47,820 --> 00:38:54,920 +المحددة الخيار شنبر والأقراس والسفورو أيضًا هذه + +334 +00:38:54,920 --> 00:39:01,780 +الرقاعات المتبقية إنما تدل على أن هذا الطبيب كان + +335 +00:39:01,780 --> 00:39:09,860 +ذا عقل سخيف والخيار شنبر هو يعني كلمة الخيار على + +336 +00:39:09,860 --> 00:39:18,020 +الفكرة هي كلمة تاريسية معربة وهي في اللغة العربية + +337 +00:39:18,020 --> 00:39:19,720 +القثاء + +338 +00:39:21,520 --> 00:39:29,380 +الخيار شنبر نوع من هو يشبه الخيار وهو نبات يعني + +339 +00:39:29,380 --> 00:39:39,720 +بري يشبه الخيار الصغير عليه وبر و أشواك تشبه + +340 +00:39:39,720 --> 00:39:45,330 +الشنبر ولذلك يسمى خيار شنبروالأقاص يعني ما يتخذ + +341 +00:39:45,330 --> 00:39:50,930 +ايه من الأدوية على شكل قرص صلب والسفوف هو يعني + +342 +00:39:50,930 --> 00:39:58,850 +أدوية مطحونة سواء كانت من صخور من الكلف مثلا أو + +343 +00:39:58,850 --> 00:40:05,310 +الأعشاب الأخرى المطحونةلهف نفسي على صناعي على صنوف + +344 +00:40:05,310 --> 00:40:12,030 +رقاعات تولت منه وعقل سخيف هنا طبعا يتوجه على تلك + +345 +00:40:12,030 --> 00:40:21,810 +الرقاعات الكثيرة التي أهدرت وكانت يعني يعني لا + +346 +00:40:21,810 --> 00:40:29,110 +تشخص الداء بشكل سليم ولا تعطي الدواء المناسبإنما + +347 +00:40:29,110 --> 00:40:37,750 +تعبر عن سخافة عقل هذا الطبيب أيضا هجى منصور ابن + +348 +00:40:37,750 --> 00:40:45,150 +باذان أخاه خثنام وكان خطيبا ومن عجب الدنيا صعودك + +349 +00:40:45,150 --> 00:40:49,830 +من برن و حولك ألف سامع ومطيع + +350 +00:40:51,940 --> 00:40:58,260 +وما كنت أخش مثلها اليوم نكبة أذل بها والمسلمون + +351 +00:40:58,260 --> 00:41:06,400 +جميعه إذا إيه يسخر من هذا الخطيب وكيف يستمع له + +352 +00:41:06,400 --> 00:41:15,640 +هؤلاء الكثرة من الناس إنها نكبة كبيرة تكثر الأعناق + +353 +00:41:15,640 --> 00:41:22,580 +أو تذل لها الأعناقوقال ابن الروم أيضًا يهجو مغنيًا + +354 +00:41:22,580 --> 00:41:31,020 +وهو أبو سليمان الطنبوري أبو سليمان الطنبوري وتحسب + +355 +00:41:31,020 --> 00:41:38,900 +العين فكّيه إذا اختلف عند التناغم فكّيه بغل طحاني + +356 +00:41:38,900 --> 00:41:47,150 +أي شبه منظره عند الغناء أو التناغم والتلحنعندما + +357 +00:41:47,150 --> 00:41:57,470 +يعني يلحن في الغناء و يغيروا إيه نبرات الصوت مدا و + +358 +00:41:57,470 --> 00:42:06,760 +ضغطا و ارتخاء و نحو ذلكبفكي البغل البغل ايه الطحان + +359 +00:42:06,760 --> 00:42:12,700 +وطبعا الطحان كانت تدور حول الرحة فرحة راح بشكل + +360 +00:42:12,700 --> 00:42:18,960 +دائري ويوضع للبغالي التي تجرأ الطحونة الطعام على + +361 +00:42:18,960 --> 00:42:29,040 +يسارها أثناء الدوران فكان يعني البغل ايه يمدهفكّيه + +362 +00:42:29,040 --> 00:42:38,340 +للأكل فشبهه بفكّي البغل عند .. عندما يتناول طعامه + +363 +00:42:38,340 --> 00:42:44,680 +أثناء الطحن إذن وجدنا من كل ما سبق أن الشاعر + +364 +00:42:44,680 --> 00:42:50,700 +العباسي لم يقف عند سلب الفضائل من المهجوم وإلساق + +365 +00:42:50,700 --> 00:42:58,010 +الرذائل به بل تعد ذلك إلى أن يجعل المهجوم أضحكوأن + +366 +00:42:58,010 --> 00:43:04,530 +يستغل العيوب الخلقية والعيوب + +367 +00:43:04,530 --> 00:43:09,590 +التي تتعلق بالمظهر العام التي تعبى عن التحضر + +368 +00:43:09,590 --> 00:43:16,330 +والحضارة وأيضا استغلال المهن والوظائف في الهجارة + +369 +00:43:16,940 --> 00:43:22,620 +وقلنا ايضا ونؤكد على ما قلناه سابقا من ان قصيدة + +370 +00:43:22,620 --> 00:43:28,190 +اذا كانت قصيدة المدح يعني تركز على جنب التحليةفي + +371 +00:43:28,190 --> 00:43:32,770 +المنظومة الأخلاقية العربية فإن قصيد الإيجاء قامت + +372 +00:43:32,770 --> 00:43:38,590 +بدوره التخلية وبذلك تألقت المنظومة الأخلاقية + +373 +00:43:38,590 --> 00:43:43,110 +العربية في الشعر العربي هذا وبالله التوفيق وصل + +374 +00:43:43,110 --> 00:43:48,790 +اللهم على نبينا محمد وعلى آله وصحبه وسلم تسليما + +375 +00:43:48,790 --> 00:43:49,450 +كثيرا + diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/xnEn_n-UKa4.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/xnEn_n-UKa4.srt new file mode 100644 index 0000000000000000000000000000000000000000..3b982084504468ed8e269aeb1248b78efacb50f5 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/xnEn_n-UKa4.srt @@ -0,0 +1,1003 @@ +1 +00:00:05,130 --> 00:00:07,630 +بسم الله الرحمن الرحيم، وأصلي وأسلم على نبينا + +2 +00:00:07,630 --> 00:00:13,490 +محمد، وعلى آله وصحبه، وأسلم تسليما كثيرا. وبعد، في + +3 +00:00:13,490 --> 00:00:18,970 +هذه المحاضرة التي هي بتعني تجارب متعددة في الشارع + +4 +00:00:18,970 --> 00:00:24,210 +العباسي، وعند الشعراء العباسيين وجدنا أن هناك + +5 +00:00:24,210 --> 00:00:31,390 +تجارب كثيرة استفرغها الشعر العباسي في قصائد كاملة + +6 +00:00:31,390 --> 00:00:38,890 +وكانت تؤدى فيما سبق في بيت أو بيتين في الشعر أو + +7 +00:00:38,890 --> 00:00:43,770 +جزء من القصيدة، لكننا وجدنا في هذا العصر أن هذه + +8 +00:00:43,770 --> 00:00:51,030 +التجارب تستحوذ قصائد كاملة منها، على سبيل المثال + +9 +00:00:51,030 --> 00:00:54,030 +تلك الوقوف أمام القصر. + +10 +00:00:57,160 --> 00:01:05,100 +للأبيّ عيينة أمام قصر ابن عمه، حيث يقف في قصيدة + +11 +00:01:05,100 --> 00:01:11,740 +كاملة، وليس في بيت أو بيتين كما كنا نرى من قبل، فقال + +12 +00:01:11,740 --> 00:01:22,460 +في: "يطيب ذاك القصر قصرا ومنزلا بأفيح سهل غير وعْر ولا + +13 +00:01:22,460 --> 00:01:31,470 +دلك، بغرس كأبكار الجوار، وتربة كأن ثراها ماء ورد على + +14 +00:01:31,470 --> 00:01:37,790 +مسك، وسرب من الغزلان يرتعن حوله، كما استلّ منظوم من + +15 +00:01:37,790 --> 00:01:46,830 +الدر من سلك." نجد أن الشاعر يقف وقوفا طويلا أمام هذا + +16 +00:01:46,830 --> 00:01:55,970 +القصر العتيد، وكان الشاعر القديم لا يطيل الوقوف إلا + +17 +00:01:55,970 --> 00:02:01,170 +ما رأيناه عند الأطلال، وهذا الوقوف الذي وقفه الشاعر + +18 +00:02:01,170 --> 00:02:07,710 +الجاهلي أمام الأطلال هو الوقوف الوحيد الذي وقف عنده + +19 +00:02:07,710 --> 00:02:14,690 +الشاعر الجاهلي، وذلك أن الأطلال إنما هي تمثل تمثل + +20 +00:02:14,690 --> 00:02:21,200 +مخلفات أو صراع بين الشاعر الجاهلي والزمن، فكان + +21 +00:02:21,200 --> 00:02:30,220 +الشاعر الجاهلي حقيقة يخوض صراعا مع الزمن، وكان يعني + +22 +00:02:30,220 --> 00:02:33,840 +يحارب + +23 +00:02:33,840 --> 00:02:40,620 +في هذه الصحراء، وينتقل من مكان إلى مكان هربا من + +24 +00:02:40,620 --> 00:02:46,950 +الزمن، إذا الوقوف على الأطلال في الشاعر الجاهلي إنما + +25 +00:02:46,950 --> 00:02:53,550 +يعبّر لنا عن أن الشاعر العباسي كان يخوض صراعا مع + +26 +00:02:53,550 --> 00:03:01,350 +الزمن، وأن الأطلال إنما تمثل مخلفات الحرب أو الصراع + +27 +00:03:01,350 --> 00:03:08,050 +الدائر بين الإنسان الجاهلي والزمن، ولذلك وقف مليا + +28 +00:03:08,050 --> 00:03:14,860 +أمامها، أما الطبيعة وحتى الإبل التي يعني كثيرا ما + +29 +00:03:14,860 --> 00:03:20,540 +كان يرددها لم يقف طويلا عندها، لدرجة أن القرآن + +30 +00:03:20,540 --> 00:03:26,700 +الكريم يعني عاب على الجاهليين عدم التأمل والتفكر + +31 +00:03:26,700 --> 00:03:34,020 +في الإبل التي يعني يأكلون لحمها ويشربون ألبانها، و + +32 +00:03:34,020 --> 00:03:39,380 +يتخذونها وسائل لتنقلهم في الصحراء، فقال تعالى: "أفلا + +33 +00:03:39,380 --> 00:03:46,680 +ينظرون إلى الإبل كيف خُلقت." الشعر العباسي رسم لوحة + +34 +00:03:46,680 --> 00:03:54,740 +جميلة لهذا القصر، وكأنه فنان معماري، يعني بإمكان + +35 +00:03:54,740 --> 00:04:02,200 +الفنان المعماري أو حتى الرسام أن يستعيد هذه الصورة + +36 +00:04:02,200 --> 00:04:09,690 +ويستعمل بدل اللغة الألوان والأشكال، وحقيقة سنتحصل + +37 +00:04:09,690 --> 00:04:19,070 +على صورة رائعة وجميلة، فقال: "فياطيب ذاك القصر قصرا + +38 +00:04:19,070 --> 00:04:27,810 +ومنزلا بأفيح سهل غير وعْر ولا طنك، بغرس كأبكار + +39 +00:04:27,810 --> 00:04:35,050 +الجوار، وتربة كأن ثراها ماء ورد على مسك، وسرب من + +40 +00:04:35,050 --> 00:04:40,220 +الغزلان يرتعن حوله، كما استلّ منظوم من الدُر من + +41 +00:04:40,220 --> 00:04:48,080 +سِلك." فيطيب ذاك القصر قصرا، طبعا قصرا ومنزلا، إذا + +42 +00:04:48,080 --> 00:04:54,340 +اجتمعتا افترقتا، فقصرا إذا هنا معناه إيه؟ الصورة + +43 +00:04:54,340 --> 00:05:01,000 +الجميلة، الصورة الجميلة، القصر يعني قصرا جميلا، ومنزلا + +44 +00:05:01,000 --> 00:05:12,460 +يعني متكاملا في خدماته وأماكن الطعام والراحة + +45 +00:05:12,460 --> 00:05:21,500 +والزينة وغير ذلك، وهذا القصر في جماله أنه يقع في + +46 +00:05:21,500 --> 00:05:27,370 +أرض سهلة في أفياح، يعني في مكان إيه سهل، طبعا المكان + +47 +00:05:27,370 --> 00:05:32,650 +السهل يبرز إيه؟ جماليات القصر، بخلاف ما لو كان هذا + +48 +00:05:32,650 --> 00:05:41,050 +القصر في مكان وعْر أو طنك، فإن جماله سيختفي أو ينقص. + +49 +00:05:42,580 --> 00:05:49,300 +ومازال الشعر يعمق صفة الجمال من خلال تأملاته + +50 +00:05:49,300 --> 00:05:53,960 +وأفكاره + +51 +00:05:53,960 --> 00:06:00,320 +الرائعة، التي من خلالها يمكن أن يشكل صورة جميلة + +52 +00:06:00,320 --> 00:06:08,120 +بغرس كأبكار الجوار، وتربة كأن ثراها ماء ورد على مسك + +53 +00:06:08,970 --> 00:06:13,870 +أيضا من ظاهر الجمال أنه يحيط بهذا القصر أشجار + +54 +00:06:13,870 --> 00:06:21,090 +غضّة ناضرة كما الجواري الأبكار. + +55 +00:06:23,310 --> 00:06:31,650 +وأيضا بطربة جميلة رائعة، كأن ثراها ماء ورد على + +56 +00:06:31,650 --> 00:06:40,750 +مسك، ثراها يعني يعني رائحة التربة رائحة جميلة، يعني + +57 +00:06:40,750 --> 00:06:47,370 +كأنها ورد على مسك، والورد هو رائحته يومية، أما + +58 +00:06:47,370 --> 00:06:54,690 +المسك رائحته دائمة، يعني جمع بين القانية والديمومة + +59 +00:06:54,690 --> 00:07:02,710 +في الرائحة الجميلة، وسرب، وهذه أيضا امتداد مفردة من + +60 +00:07:02,710 --> 00:07:07,870 +مفردات هذه الصورة، وسرب من الغزلان يرتعن حوله + +61 +00:07:07,870 --> 00:07:15,430 +كما استلّ منظوم من الدر من سلك، أيضا يحيط بهذا القصر + +62 +00:07:15,430 --> 00:07:23,520 +سرب من غزلان، وهذا طبعا مظهر جميل ورائع يجمل الصورة + +63 +00:07:23,520 --> 00:07:32,180 +السابقة، ويجعلها صورة رائعة جميلة، تولد الإحساس + +64 +00:07:32,180 --> 00:07:42,800 +بجمال هذا القصر، أيضا وجدنا أن الشاعر العباسي في + +65 +00:07:42,800 --> 00:07:50,860 +قصائده يعبّر عن تجارب أخرى، كتجربة المرض مثلا، فمثلا + +66 +00:07:50,860 --> 00:07:58,200 +عبد الصمد بن المعذّل يضع قصيدة كاملة في تجربته مع + +67 +00:07:58,200 --> 00:08:07,140 +الحمّى، فقال: "وبنت المنية تنتبني هدوا وتطرقني سحرة + +68 +00:08:10,710 --> 00:08:17,110 +كأن لها ضرما في الحشا، وفي كل عضو لها جمرة لها قدرة + +69 +00:08:17,110 --> 00:08:25,510 +في جسوم الأنام، حباها به الله ذو القدرة، وطورا + +70 +00:08:25,510 --> 00:08:33,010 +ألقبها سخنة، وطورا ألقبها فترة، قصرت إذا جعت يوما + +71 +00:08:33,010 --> 00:08:40,260 +ضللت كأن على كبدي شفرة." ويربط حاله إذا ما شبعته فتعل + +72 +00:08:40,260 --> 00:08:46,860 +الترائب والصدرة، وأمس كأني من معدتي لبست الثيابة + +73 +00:08:46,860 --> 00:08:53,260 +على ذُكرة، إذا ما رأيت مرأة مطلقة له الأكل، تخنقني + +74 +00:08:53,260 --> 00:09:01,340 +العبرة كأني في منزلي مخصبا ببلقعة جدبة قفرة، إذا + +75 +00:09:01,340 --> 00:09:08,340 +الشاعر العباسي يعني نراه إيه قد برع في التعبير عن + +76 +00:09:08,340 --> 00:09:16,140 +تجربته في قصيدة كاملة، ونراه + +77 +00:09:16,140 --> 00:09:26,560 +يقترب اقترابا جميلا وصادقا من التجربة، وهذا طبعا + +78 +00:09:26,560 --> 00:09:29,700 +القرب + +79 +00:09:29,700 --> 00:09:40,740 +من التجربة، طبعا يزيد النص جمالا وحسنا، وبنت المنية + +80 +00:09:40,740 --> 00:09:43,960 +فهي + +81 +00:09:43,960 --> 00:09:50,020 +الحمّى، لأنها هي التي تقود الإنسان إلى الموت، وبنت + +82 +00:09:50,020 --> 00:09:56,480 +المنية تنتابني هدوا، وتطرقني سحرة، يعني تنتابني + +83 +00:09:56,480 --> 00:10:03,710 +يعني تصيبني، تأتي على شكل نوبات، مرة في أول الليل و + +84 +00:10:03,710 --> 00:10:10,590 +مرة في آخر الليل، وتطرقني سحرة، وقت الصحر وهو آخر + +85 +00:10:10,590 --> 00:10:17,470 +الليل، كأن لها ضرما يعني حرارة ولهبا في الحشا، في + +86 +00:10:17,470 --> 00:10:26,640 +القلب، وفي كل عضو لها جمرة، يعني كل مفصل لها قدرة في + +87 +00:10:26,640 --> 00:10:34,980 +جسوم الأنام، حباها به الله ذو القدرة، وطورا ألقبها + +88 +00:10:34,980 --> 00:10:41,880 +سخنة، وطورا ألقبها فترة، يعني هذه الحمّى يعني مرة + +89 +00:10:41,880 --> 00:10:50,000 +أشعر بحرارة شديدة، ومرة ومرة أخرى أشعر بفتور. + +90 +00:10:52,720 --> 00:11:00,020 +وصرت إذا جُعت يومًا ضللت، كأن على كبدي شفرة، عندما + +91 +00:11:00,020 --> 00:11:09,990 +يشعر بالجوع، طبعا بسبب الحمّى يعني يستهلك الإنسان كل + +92 +00:11:09,990 --> 00:11:18,890 +ما يخزنه من سكريات في الكبد، فيشعر بأن كبده قد تمزق + +93 +00:11:18,890 --> 00:11:26,570 +لأنه أفرغ كل ما فيه من السكر في الدم، فيشعر بأن + +94 +00:11:26,570 --> 00:11:34,950 +كبده قد جرحت بشفرة." ويربو الطحال إذا ما شبعته فتعل + +95 +00:11:34,950 --> 00:11:43,920 +الترائب والسدرة، يعني عندما يأكل يشتفع الطحال، فتعلّو + +96 +00:11:43,920 --> 00:11:50,020 +الترائب، والترائب هي إيه؟ العظام التي بأعلى الصدر + +97 +00:11:50,020 --> 00:11:55,740 +وأما الصدرة فهي الحجاب الحاجز الذي يفصل بين الصدر + +98 +00:11:55,740 --> 00:12:04,520 +والبطن، فمع ال .. فإذا ما أكل طبعا وشبعه فإن هذا + +99 +00:12:04,520 --> 00:12:11,980 +الأكل يعني يربو ويطفو هي المعدة، وطبعا يؤدي إلى + +100 +00:12:11,980 --> 00:12:19,380 +ارتفاع عظام الصدر وإلى ارتفاع الحجاب الحاجز، وأمس + +101 +00:12:19,380 --> 00:12:24,760 +كأني من معدتي لبست ثيابة على ذُكرة، طبعا هذه + +102 +00:12:24,760 --> 00:12:31,840 +الحرارة المتولدة في المعدة، كأنها ذق خمر، الذكرة هي + +103 +00:12:31,840 --> 00:12:39,560 +ذق خمر، وهذا الذق يكون الخمر فيه متفاعل + +104 +00:12:39,560 --> 00:12:43,400 +وتتفجّع + +105 +00:12:43,400 --> 00:12:51,000 +حرارته مع الحركة، كما المعدة، كما معدته، فهي مع + +106 +00:12:51,000 --> 00:12:59,980 +الأكل تصبح الحارة كذق الخمرة، إذا ما رأيت مرأة + +107 +00:12:59,980 --> 00:13:06,300 +مطلقة له الأكل تخنقني العبرة، إذا رأيت إنسان مسموح + +108 +00:13:06,300 --> 00:13:14,740 +له أن يأكل ما يشاء، تخنقني العبرة، الدمعة على ما + +109 +00:13:14,740 --> 00:13:22,580 +فاتني، وعلى تذكر الأيام التي كنت يعني أتناول فيها + +110 +00:13:22,580 --> 00:13:30,280 +الطعام بحرية وطلاقة، كأني في منزلي مخصبا ببلقعة + +111 +00:13:30,280 --> 00:13:39,230 +جدبة قفرة، وهنا طبعا إيه تشبيه تمثيلي، حيث شبهه وهو + +112 +00:13:39,230 --> 00:13:47,130 +في منزله وقد سمح له في منزله وهو مليء بالأطعمة + +113 +00:13:47,130 --> 00:13:54,310 +المختلفة، ولكنه ممنوع من أن يتناولها، كمن هو ببلقعة + +114 +00:13:54,310 --> 00:14:05,230 +كما هو بصحراء جدب لا حياة فيها ولا ماء، إذا وجدنا إن + +115 +00:14:05,230 --> 00:14:11,570 +الشاعر العباسي قد أفرغ تجربته كاملة في قصيدة كاملة + +116 +00:14:11,570 --> 00:14:18,170 +مما طبع القصيدة العباسية بطابع الموضوعية، يعني + +117 +00:14:18,170 --> 00:14:25,270 +احتوت على موضوع واحد وعلى تجربة واحدة، كذلك من + +118 +00:14:25,270 --> 00:14:31,670 +التجارب التي استحوذت على قصيدة كاملة بكاء الشباب + +119 +00:14:32,930 --> 00:14:39,590 +وقد رأيناه في السابق يعني يأتي في بيت أو بيتين، نرى + +120 +00:14:39,590 --> 00:14:46,810 +هناك قصيدة كاملة تستقبل تجربة لمحمد بن حازم + +121 +00:14:46,810 --> 00:14:53,170 +الباهلي، فيقول: "سقيا ورعيا لأيام الشباب، وإن لم يبقى + +122 +00:14:53,170 --> 00:15:00,130 +منه له رسم ولا طلل، ليت المنايا أصابتني بأسهمها، فكن + +123 +00:15:00,130 --> 00:15:07,230 +يبكين عهدي قبل أكتهل، عهد الشباب لقد أبقيت لي حزنا + +124 +00:15:07,230 --> 00:15:15,260 +ما جد ذكرك إلا جد لي سكلا." العرب تستعمل هذا الأسلوب + +125 +00:15:15,260 --> 00:15:21,880 +سقيا ورعيا للأماكن الرائعة الجميلة التي كان + +126 +00:15:21,880 --> 00:15:29,660 +يحياها الشاعر سابقا أو الأزمنة، سواء الزمان الجميل + +127 +00:15:29,660 --> 00:15:35,000 +وهو جمال الشباب أو المكان الجميل وهو مكان الذي + +128 +00:15:35,000 --> 00:15:41,800 +كان يعيش فيه، الديار أو الأوطان، فكان يدعو لها + +129 +00:15:41,800 --> 00:15:48,540 +بالسقيا أو بالسقي والرعي، سقيا ورعيا لأيام الشباب + +130 +00:15:48,540 --> 00:15:56,420 +وإن لم يبقى منه له رسم ولا طلل، كلمة رسم وطلل إذا + +131 +00:15:56,420 --> 00:16:04,580 +اجتمعتا افترقتا، فرسم هو ما يتبقى من الديار القديمة + +132 +00:16:04,580 --> 00:16:11,420 +تحت الأرض رسم، وأما ما يبقى منها فوق الأرض فهو طلل. + +133 +00:16:12,390 --> 00:16:18,450 +لم يبقى منه له رسم ولا طلل، ليت المنايا أصابتني + +134 +00:16:18,450 --> 00:16:25,330 +بأسهمها، فكنّ يبكين عهدي قبل أكتهل، هم طبعا هنا تمني + +135 +00:16:25,330 --> 00:16:34,200 +الموت هنا إنما يعبر عن حالة اليأس والحزن العميق + +136 +00:16:34,200 --> 00:16:41,680 +على ما فات من أيام الشباب، فهو يتمنى أن يموت مبكرا + +137 +00:16:41,680 --> 00:16:48,840 +قبل أن يصل إلى سن الكهولة، والكهولة هي ما بين + +138 +00:16:48,840 --> 00:16:54,650 +الثلاثين والأربعين من عمر الإنسان، ودليلنا في ذلك + +139 +00:16:54,650 --> 00:17:00,230 +قول تعالى: "ويكلم الناس في المهد وكهلا"، يعني هذا + +140 +00:17:00,230 --> 00:17:04,950 +إيه عيسى ابن مريم، من معجزاته أنه يُكلم الناس في + +141 +00:17:04,950 --> 00:17:13,470 +المهد حين كان وليدا صغيرا، ويُكلمهم عندما في فترة + +142 +00:17:13,470 --> 00:17:19,950 +الكهولة، وذلك أنه ينزل من السماء إلى المنارة + +143 +00:17:19,950 --> 00:17:25,750 +البيضاء بدمشق، وهذه معجزة أخرى أيضا لعيسى عليه + +144 +00:17:25,750 --> 00:17:32,510 +السلام، وعلى نبينا محمد أزكى الصلاة والتسليم، عهد + +145 +00:17:32,510 --> 00:17:40,190 +الشباب لقد أبقيت لي حزنا، حزنا يعني ما يثير الحزن + +146 +00:17:40,190 --> 00:17:48,750 +أبقيت لي أشياء تثير الحزن، والحزن يكون على فائد على + +147 +00:17:48,750 --> 00:17:59,070 +على شيء فائت، على شيء جميل قد فات، ما جد ذكرك إلا جد + +148 +00:17:59,070 --> 00:18:08,630 +لي ثكلا، يعني ما ظهر لك ما ظهر من ذكرك إلا أثار في + +149 +00:18:08,630 --> 00:18:17,340 +الحزن العميق، وهو كحزن المرأة على وليدها، وهو أشد + +150 +00:18:17,340 --> 00:18:25,920 +أنواع الحزن، وهو السكَلّ، ولا يقال إلا إيه للأم: "سكَلّتك + +151 +00:18:25,920 --> 00:18:32,920 +أمك يا معاذ"، أيضا + +152 +00:18:32,920 --> 00:18:38,930 +وجدنا من التجارب أيضا تجربة الخريم أبو يعقوب الذي + +153 +00:18:38,930 --> 00:18:45,910 +فقد بصره، فقال في قصيدة معبر فيها عن تجربته في فقد + +154 +00:18:45,910 --> 00:18:51,010 +بصره، فقال: "أصغي إلى قائدي ليخبرني + +155 +00:18:53,880 --> 00:19:00,380 +إذا التقينا عمّا يحييني، أريد أن أعدل السلامة وأن + +156 +00:19:00,380 --> 00:19:05,900 +أفصل بين الشريف والدني، أسمع ما لا أرى فأكره أن + +157 +00:19:05,900 --> 00:19:14,540 +أخطئ، والسمع غير مؤمني." والإصغاء هو إطالة الاجتماع + +158 +00:19:14,540 --> 00:19:21,820 +وقد يأتي أيضا بمعنى إطالة النظر، كما قال: "العَبَثُ من + +159 +00:19:21,820 --> 00:19:30,040 +الأحْنَكِ، تَلَفَّت نحو الحي حتى وجدتني وجعت من الإصغاء + +160 +00:19:30,040 --> 00:19:39,200 +ليتا وأخْذَع." الإصغاء قد تأتي بمعنى إطالة النظر، وبمعنى + +161 +00:19:39,200 --> 00:19:45,420 +أيضا إطالة الاستماع، كما في هذا البيت، وذلك أن + +162 +00:19:45,420 --> 00:19:54,720 +المكفوف يعتمد على السمع في اكتساب المعارف + +163 +00:19:54,720 --> 00:20:02,620 +والمعلومات وتقييم الأشياء، يعتمد على السمع بخلاف + +164 +00:20:02,620 --> 00:20:11,580 +الإنسان المبصر فهو يعتمد بشكل أساسي على البصر، أصغي + +165 +00:20:11,580 --> 00:20:19,220 +إلى قائدي، لماذا؟ ليخبر + +201 +00:24:49,840 --> 00:24:56,380 +السابق في بيت أو بيتين فقال لولا البنية لولا حرف + +202 +00:24:56,380 --> 00:25:06,100 +امتناع لوجود البنية موجودة وامتنع عدم الجزع يعني لو + +203 +00:25:06,100 --> 00:25:15,440 +لا البنية البنية موجودة والجزع موجود فهو يجزع لأن + +204 +00:25:15,440 --> 00:25:28,530 +لديه بنية والذي دفعه إلى الجزع هو حرصه على بنيته + +205 +00:25:29,870 --> 00:25:37,430 +ولم أجب في الليالي حندس الظلم وأجب من أيه الجوب + +206 +00:25:37,430 --> 00:25:47,170 +فهو السير والتجول في الليل ولم أجب في الليالي حندس + +207 +00:25:47,170 --> 00:25:56,510 +الظلم الظلام الشديد وزدني رغبة في العيش وزدني محبة + +208 +00:25:56,510 --> 00:26:07,850 +في العيش ثاني ذل اليتيمة يجفوها ذو الرحم ولم يقول + +209 +00:26:07,850 --> 00:26:15,370 +إيه عرفاني فعبّر بالاسم بدل المصدر وذلك تعميقًا + +210 +00:26:15,370 --> 00:26:21,070 +للرغبة في العيش يريد أن يثبت هذه الرغبة فقال + +211 +00:26:21,070 --> 00:26:28,110 +معرفتي ولم يقول عرفاني أخش فظاذة عم أو جفاء أخ + +212 +00:26:28,110 --> 00:26:36,080 +وكنت أخشى عليها من أذى الكلمة فهو يعني يخشى على هذه + +213 +00:26:36,080 --> 00:26:41,920 +البنية من فضادة العم لأن العم يستخدم اللغة الفظة + +214 +00:26:41,920 --> 00:26:51,480 +وهي لغة التخلية لا تفعلي، لا تعملي، لا تجلسي هذه + +215 +00:26:51,480 --> 00:26:59,650 +اللاءات هي التي تشكل فضادة أسلوب العم فالعام يركز + +216 +00:26:59,650 --> 00:27:08,730 +على أسلوب التخلية أسلوب التخلية وقد تغيب عنه + +217 +00:27:08,730 --> 00:27:19,550 +الأخلاق التحلية أخش فظاضة عم أو جفاء أخ والجفاء + +218 +00:27:19,550 --> 00:27:26,210 +يعني البعد عن الأخت والأخوات + +219 +00:27:28,850 --> 00:27:33,570 +أو جفاء أخ يعني + +220 +00:27:33,570 --> 00:27:42,900 +أخ لهذه البنية قد ينشغل الأخ بزوجته وأولاده وكانت + +221 +00:27:42,900 --> 00:27:48,160 +أخشى عليها من أذى الكلم كان في السابق يخشى عليها + +222 +00:27:48,160 --> 00:27:56,280 +من أذى الكلم فكيف بعد موته تتعرض لأذى الأفعال + +223 +00:27:56,280 --> 00:28:03,460 +والأعمال إذا تذكرت بنتي حين تندبني تذكر هنا طبعا + +224 +00:28:03,460 --> 00:28:08,850 +التذكر للمستقبل والتذكر يأتي للماضي لأنه غائب و + +225 +00:28:08,850 --> 00:28:14,930 +كذلك في المستقبل فهو غائب صح إذا استعمال التذكر + +226 +00:28:14,930 --> 00:28:24,010 +للحاضر والغائب إذا تذكرت بنتي حين تندبني حين تحزن + +227 +00:28:24,010 --> 00:28:31,950 +علي وتبكيني وتذكر أفعالي وصفاتي جرت لعبرة بنتي + +228 +00:28:31,950 --> 00:28:39,990 +عبرتي بدميعني جرك ليه لدمعة ابني..بنتي دمعة بدم + +229 +00:28:39,990 --> 00:28:49,430 +مني يعني إذا بكت بنتي دموعا عليا فإنني سأبكي دماء + +230 +00:28:49,430 --> 00:28:59,110 +وليس دموعا وذلِك على أن عاطفة الأبوة أعمق من + +231 +00:28:59,110 --> 00:29:05,960 +عاطفة البنوة عاطفة الأبوة، يعني من الأبي إلى البنت + +232 +00:29:05,960 --> 00:29:16,300 +أقوى من علاقته وعاطفة البنت لأبيها أيضا + +233 +00:29:16,300 --> 00:29:26,960 +من الأشياء التي يعني نقف عليها هنا أيضا + +234 +00:29:26,960 --> 00:29:30,340 +موضوع الغيرة + +235 +00:29:31,690 --> 00:29:35,670 +قبل أن ندخل إلى هذا الموضوع نود أن نشير إلى أن + +236 +00:29:35,670 --> 00:29:41,650 +الأخلاق منها ما يرجع إلى صفات ثابتة كالكرم + +237 +00:29:41,650 --> 00:29:48,610 +والشجاعة والعفة والتقي ونحو ذلك فقلنا إن الكريم لا + +238 +00:29:48,610 --> 00:29:52,830 +يكون كريما إلا بأن يكون صادقا في كرمه + +239 +00:29:55,630 --> 00:30:03,190 +مستغرقًا لصفاتي أو للزمان والمكان والموضوع يعني + +240 +00:30:03,190 --> 00:30:09,830 +هذا الفعل يكون مستمر في الزمن مستمر في المكان + +241 +00:30:09,830 --> 00:30:17,610 +مستمر في الموضوع لكن هناك أخلاق مرتبطة بالحال وهي + +242 +00:30:17,610 --> 00:30:22,050 +من الأخلاق الجميلة وجمالها يرتد إلى أنها مرتبطة + +243 +00:30:22,050 --> 00:30:29,120 +بالحال في خلاف الأخلاق والدين فإن جمالها يرتبط + +244 +00:30:29,120 --> 00:30:35,480 +بثبات صفاتها + +245 +00:30:35,480 --> 00:30:42,740 +في استغراقها للزمن والمكان والموضوع أما الغيرة + +246 +00:30:42,740 --> 00:30:49,480 +فإنها مرتبطة بالحال وليس بصفة ثابتة كغيرها من + +247 +00:30:49,480 --> 00:30:53,520 +أخلاق الكرم والشجاعة ونحو ذلك لذلك الغيرة تكون + +248 +00:30:53,520 --> 00:31:00,550 +جميلة حين ترتبط بالحال وليس بالصفة الثابتة كما قال + +249 +00:31:00,550 --> 00:31:05,330 +الشاعر الخريمي + +250 +00:31:05,330 --> 00:31:13,630 +ما أحسن الغيرة في حينها وأقبح الغيرة في كل حين من + +251 +00:31:13,630 --> 00:31:19,110 +لم يزل متهما عن عرسه متبعا فيها لقول الظنون يشك أن + +252 +00:31:19,110 --> 00:31:25,640 +يغريها بالذي يخاف أن يبرزها للعيون حسبك من تحصينها + +253 +00:31:25,640 --> 00:31:32,800 +واضعها منك إلى عرض صحيح وديني لا تطلع منك على ريبة + +254 +00:31:32,800 --> 00:31:41,220 +فيتبع المقرون حبل القرين طبعا هنا هذه الغيرة خلق + +255 +00:31:41,220 --> 00:31:46,720 +جميل لكن جماله في أنه يرتبط بالحال وليس بالصفة + +256 +00:31:46,720 --> 00:31:53,560 +الثابتة هناك أخلاق كثيرة ترتبط إلى بالحال يعني + +257 +00:31:53,560 --> 00:32:02,280 +بالحكمة بالعقل مثل الموعظة ادعوا إلى الله ادعوا + +258 +00:32:02,280 --> 00:32:08,780 +إلى سبيل ربك بالحكمة والموعظة الحسنة يعني اختار + +259 +00:32:08,780 --> 00:32:13,900 +لها الوقت المناسب والمكان المناسب والزمن المناسب + +260 +00:32:13,900 --> 00:32:19,560 +والموضوع المناسب والرجل المناسب هذه معنى إيه؟ ادعوا + +261 +00:32:19,560 --> 00:32:26,500 +لسبيل ربك بالحكمة والموعظة الحسنة والغيرة أيضًا + +262 +00:32:26,500 --> 00:32:34,720 +ترتبط بالحال يعني لتكن الغيرة في زمن معين في زمن + +263 +00:32:34,720 --> 00:32:39,980 +مناسب، مكان مناسب، في حال مناسبة وليس في كل + +264 +00:32:39,980 --> 00:32:47,040 +الأحوال وكل الأزمنة وكل الأمكنة فتصبح حينئذ قبيحة + +265 +00:32:47,040 --> 00:32:52,700 +لذلك قال و أقبح الغيرة في كل حيني يعني في كل زمن + +266 +00:32:52,700 --> 00:32:56,620 +إذا كانت مستغرقة للزمن فإنها تصبح قبيحة لكن إذا + +267 +00:32:56,620 --> 00:33:02,180 +كانت مرتبطة بالحال تكون جميلة ورائعة من لم يزل + +268 +00:33:02,180 --> 00:33:11,460 +متهما عرسه يعني عروسه متبعا فيها لقول الظنون يشك + +269 +00:33:11,460 --> 00:33:17,040 +أن يغريها بالذي يخاف أن يبرزها للعيون الإنسان الذي + +270 +00:33:17,040 --> 00:33:22,620 +يحمل العلاقة الزوجية على اقتمها وعلى الظن السيء + +271 +00:33:22,620 --> 00:33:32,060 +فإنه يقود إلى مصيبة أكبر هناك مصائب قد تقود إلى + +272 +00:33:32,060 --> 00:33:38,230 +مصائب أكبر وعلى الإنسان حينئذ أن يواجه ذلك بالثقة + +273 +00:33:38,230 --> 00:33:45,850 +أن يرجع إلى الثقة التي تحكمهم وهو النثاق وقد أخذ + +274 +00:33:45,850 --> 00:33:53,550 +الله مننا نثاقا غليظا يوشك أن يغريها بالذي يخاف أن + +275 +00:33:53,550 --> 00:33:59,190 +يُبرِذها للعيون إذا إذا استعمل الغيّر في كل وقت + +276 +00:33:59,190 --> 00:34:04,550 +والشك في كل وقت والظن في كل وقت في كل وقت فإنه + +277 +00:34:04,550 --> 00:34:12,010 +يقلب هذه هذا الخطأ إلى خطأ أكبر ومصيبة أعظم إذا + +278 +00:34:12,010 --> 00:34:18,980 +يكتفى بإرجاع الأمر إلى الثقة المتبادلة حسبك من + +279 +00:34:18,980 --> 00:34:26,060 +تحصينها واضعها منك إلى عرض صحيح وديني لا تطلع منك + +280 +00:34:26,060 --> 00:34:33,660 +على ريبة إياك أن تظهر ريبة وعليك أن تحافظ على الثقة + +281 +00:34:33,660 --> 00:34:39,820 +المتبادلة لأن الثقة تنتج أفعال ومواقف وصفات جميلة + +282 +00:34:39,820 --> 00:34:46,860 +لكن الريبة تظهر أفعال وقيم وسلوك سيئة فيتبع + +283 +00:34:46,860 --> 00:34:52,970 +المقرون الزوجة حبل القرين اللي هو الزوج في الشك + +284 +00:34:52,970 --> 00:34:59,790 +وإذا كانت علاقة الشك والظن بينهما فإن هذا يقود إلى + +285 +00:34:59,790 --> 00:35:04,070 +الدمار والهلاك هذا وبالله التوفيق وصلى اللهم على + +286 +00:35:04,070 --> 00:35:08,910 +نبينا محمد وعلى آله وصحبه وسلم تسليما كثيرا diff --git a/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/xnEn_n-UKa4_raw.srt b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/xnEn_n-UKa4_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..d6a939cb50da575f2ac89278a6b283f07cb8ee82 --- /dev/null +++ b/PL9fwy3NUQKwbS_QZegOAP2gYU5-t1nRM-/xnEn_n-UKa4_raw.srt @@ -0,0 +1,1144 @@ +1 +00:00:05,130 --> 00:00:07,630 +بسم الله الرحمن الرحيم و أصلي و أسلم على نبينا + +2 +00:00:07,630 --> 00:00:13,490 +محمد و على آله و صحبه و أسلم تسليما كثيرا و بعد في + +3 +00:00:13,490 --> 00:00:18,970 +هذه المحاضرة التي هي بتعني تجارب متعددة في الشارع + +4 +00:00:18,970 --> 00:00:24,210 +العباسي و عند الشعراء العباسيين وجدنا أن هناك + +5 +00:00:24,210 --> 00:00:31,390 +تجارب كثيرةاستفرغها الشعر عباسي في قصائد كاملة + +6 +00:00:31,390 --> 00:00:38,890 +وكانت تؤدى فيما سبق في بيت او بيتين في الشعر او + +7 +00:00:38,890 --> 00:00:43,770 +جزء من القصيدة لكننا وجدنا في هذا العصر ان هذه + +8 +00:00:43,770 --> 00:00:51,030 +التجالب تستحوذ قصائد كاملة منها على سبيل المثال + +9 +00:00:51,030 --> 00:00:54,030 +تلك الوقوف المالي + +10 +00:00:57,160 --> 00:01:05,100 +للأبي عيينة أمام قصر لابن عمه حيث يقف في قصيدة + +11 +00:01:05,100 --> 00:01:11,740 +كاملة وليس في بيت أو بيتين كما كنا نرى من قبل فقال + +12 +00:01:11,740 --> 00:01:22,460 +فيطيب ذاك القصر قصرا ومنزلا بأفيح سهل غير وعل ولا + +13 +00:01:22,460 --> 00:01:31,470 +دلكبغرس كأبكار الجوار وتربة كأن ثراها ماء ورد على + +14 +00:01:31,470 --> 00:01:37,790 +مسك وسرب من الغزلان يرتعن حوله كما استل منظوم من + +15 +00:01:37,790 --> 00:01:46,830 +الذر من سلكفنجد أن الشاعر يقف وقوفا طويلا أمام هذا + +16 +00:01:46,830 --> 00:01:55,970 +القصر العتيد وكان الشاعر القديم لا يطيل الوقوف إلا + +17 +00:01:55,970 --> 00:02:01,170 +ما رأيناه عند الأطلال وهذا الوقوف الذي وقفه الشاعر + +18 +00:02:01,170 --> 00:02:07,710 +الجاهلي أمام الأطلال هو الوقوف الوحيدالذي وقف عنده + +19 +00:02:07,710 --> 00:02:14,690 +الشاعر الجاهري وذلك أن الأطلال إنما هي تمثل تمثل + +20 +00:02:14,690 --> 00:02:21,200 +مخلفات أو صراعةبين الشاعر الجاهلي والزمن فكان + +21 +00:02:21,200 --> 00:02:30,220 +الشاعر الجاهلي حقيقة يخد صراعا مع الزمن وكان يعني + +22 +00:02:30,220 --> 00:02:33,840 +يحرب + +23 +00:02:33,840 --> 00:02:40,620 +في هذه الصحراء وينتقل من مكان إلى مكان هروبا من + +24 +00:02:40,620 --> 00:02:46,950 +الزمن إذا القوف على الأطلالفي الشاعر الجاهلي إنما + +25 +00:02:46,950 --> 00:02:53,550 +يعبّر لنا عن أن الشاعر العباسي كان يخوض صراعا مع + +26 +00:02:53,550 --> 00:03:01,350 +الزمن وأن الأطلال إنما تمثل مخلفات الحرب أو الصراع + +27 +00:03:01,350 --> 00:03:08,050 +الدائر بين الإنسان الجاهلي والزمن ولذلك وقف مليا + +28 +00:03:08,050 --> 00:03:14,860 +أمامها أما الطبيعة وحتى القبل التييعني كثيرا ما + +29 +00:03:14,860 --> 00:03:20,540 +كان يرددها لم يقف طويلا عندها لدرجة أن القرآن + +30 +00:03:20,540 --> 00:03:26,700 +الكريم يعني عاب على الجاهليين عدم التأمل و التفكر + +31 +00:03:26,700 --> 00:03:34,020 +في الإبل التي يعني يأكلون لحمها و يشربون ألبانها و + +32 +00:03:34,020 --> 00:03:39,380 +يتخذونها وسائل لتنقلهم في الصحراء فقال تعالى أفلا + +33 +00:03:39,380 --> 00:03:46,680 +ينظرون إلى الإبل كيف خُلقتالشعر العباسي رسم لوحة + +34 +00:03:46,680 --> 00:03:54,740 +جميلة لهذا القصر وكأنه فنان معمري يعني بإمكان + +35 +00:03:54,740 --> 00:04:02,200 +الفنان المعمري أو حتى الرسام أن يستعيد هذه الصورة + +36 +00:04:02,200 --> 00:04:09,690 +ويستعمل بدل اللغة الألوان والأشكالوحقيقة سنتحصل + +37 +00:04:09,690 --> 00:04:19,070 +على صورة رائعة وجميلة فقال فياطيب ذاك القصر قصرا + +38 +00:04:19,070 --> 00:04:27,810 +ومنزلا بأفيح سهل غير وعر ولا طنك بغرس كأبكار + +39 +00:04:27,810 --> 00:04:35,050 +الجوار وتربة كأن ثراها ماء ورد على مسك وسرب من + +40 +00:04:35,050 --> 00:04:40,220 +الغزلان يرتعن حولهكما استلّى منظوم من الدُر من + +41 +00:04:40,220 --> 00:04:48,080 +سِلكي فيطيب ذاك القصر قصرا طبعا قصرا ومنزلا إذا + +42 +00:04:48,080 --> 00:04:54,340 +اجتمعتا افترقتا فقصرا إذا هنا معناه إيه الصورة + +43 +00:04:54,340 --> 00:05:01,000 +الجميلة الصورة الجميلة القصر يعني قصرا جميلاومنزلا + +44 +00:05:01,000 --> 00:05:12,460 +يعني متكاملا في خدماته وأماكن الطعام والراحة + +45 +00:05:12,460 --> 00:05:21,500 +والزينا وغير ذلك وهذا القصر في جماله أنه يقع في + +46 +00:05:21,500 --> 00:05:27,370 +أرض سهلة في أفياحيعني في مكان إيه سهل طبعا المكان + +47 +00:05:27,370 --> 00:05:32,650 +السهل يبرز إيه جماليات القصر بخلاف ما لو كان هذا + +48 +00:05:32,650 --> 00:05:41,050 +القصر في مكان وعل أو طنك فإن جماله سيختفي أو ينقص + +49 +00:05:42,580 --> 00:05:49,300 +ومازال الشعر يعمق صفة الجمال من خلال تأملاته + +50 +00:05:49,300 --> 00:05:53,960 +وأفكاره + +51 +00:05:53,960 --> 00:06:00,320 +الرائعة التي من خلالها يمكن أن يشكل صورة جميلة + +52 +00:06:00,320 --> 00:06:08,120 +بغرس كأبكار الجوار وتربة كأن ثراها ماء ورد على مسك + +53 +00:06:08,970 --> 00:06:13,870 +أيضًا من ظاهر الجمال أنه يحيط بهذا القصر أشجار + +54 +00:06:13,870 --> 00:06:21,090 +غضّة ناضرة كما الجواري الأبكار + +55 +00:06:23,310 --> 00:06:31,650 +و أيضًا بطربة جميلة رائعة كأن ثراها ماء ورد على + +56 +00:06:31,650 --> 00:06:40,750 +مسكه ثراها يعني يعني رائحة الطربة رائحة جميلة يعني + +57 +00:06:40,750 --> 00:06:47,370 +كأنها ورد على مسك و الورد هو رائحته يومية أما + +58 +00:06:47,370 --> 00:06:54,690 +المسك رائحته دائمةيعني جمع بين القانية والديمومة + +59 +00:06:54,690 --> 00:07:02,710 +في الرائحة الجميلة وسلب وهذه أيضًا إمتداد مفردة من + +60 +00:07:02,710 --> 00:07:07,870 +مفادات هذه الصورة وسلب من الغزلان يرتعن حوله + +61 +00:07:07,870 --> 00:07:15,430 +كمستلة منظوم من الدر من سلكي أيضًا يحيط بهذا القصر + +62 +00:07:15,430 --> 00:07:23,520 +سلب من غزلانوهذا طبعًا مظهر جميل ورائع يجمل الصورة + +63 +00:07:23,520 --> 00:07:32,180 +السابقة ويجعلها صورة رائعة جميلة تولد الإحساس + +64 +00:07:32,180 --> 00:07:42,800 +بجمال هذا القصر أيضًا وجدنا أن الشاعر العباسي في + +65 +00:07:42,800 --> 00:07:50,860 +قصائده يعبّى عن تجاربفأخرى كتجربة المرض مثلا فمثلا + +66 +00:07:50,860 --> 00:07:58,200 +عبدالصمد ابن المعذّل يضع قصيدة كاملة في تجربته مع + +67 +00:07:58,200 --> 00:08:07,140 +الحُمّة فقال وبنت المنية تنتبني هدوا وتطرقني سحرة + +68 +00:08:10,710 --> 00:08:17,110 +كأن لها ضرما في الحشة وفي كل عضو لها جمرة لها قدرة + +69 +00:08:17,110 --> 00:08:25,510 +في جسوم الأنام حباها به الله ذو القدرة وطورا + +70 +00:08:25,510 --> 00:08:33,010 +ألقبها سخنة وطورا ألقبها فترة قصرت إذا جعت يوما + +71 +00:08:33,010 --> 00:08:40,260 +ضللت كأن على كبدي شفرةويربط حاله إذا ما شبعته فتعل + +72 +00:08:40,260 --> 00:08:46,860 +الترائب والصدرة وأمس كأني من معدتي لبست الثيابة + +73 +00:08:46,860 --> 00:08:53,260 +على ذُكرة إذا ما رأيت مرأة مطلقة له الأكل تخنقني + +74 +00:08:53,260 --> 00:09:01,340 +العبرة كأني في منزلي مخصبة ببلقعة جدبة قفرة إذا + +75 +00:09:01,340 --> 00:09:08,340 +الشاعر العباسي يعني نراه ايه قد برع فيالتعبير عن + +76 +00:09:08,340 --> 00:09:16,140 +تجربته في قصيدة كاملة ونراه + +77 +00:09:16,140 --> 00:09:26,560 +يقترب اقترابا جميلا وصادقا من التجربة وهذا طبعا + +78 +00:09:26,560 --> 00:09:29,700 +القرب + +79 +00:09:29,700 --> 00:09:40,740 +من التجربةطبعا يزيد النص جمالا وحسنا وبنت المنية + +80 +00:09:40,740 --> 00:09:43,960 +فهي + +81 +00:09:43,960 --> 00:09:50,020 +الحمة لأنها هي التي تقود الإنسان إلى الموت وبنت + +82 +00:09:50,020 --> 00:09:56,480 +المنية تنتابني هدوء و تطرقني صحرة يعني تنتابني + +83 +00:09:56,480 --> 00:10:03,710 +يعني تصيبنيتأتين على شكل نوبات مرة في أول الليل و + +84 +00:10:03,710 --> 00:10:10,590 +مرة في آخر الليل و تطرقني سحرة وقت الصحر و هو آخر + +85 +00:10:10,590 --> 00:10:17,470 +الليل كأن لها ضرما يعني حرارة و لهبا في الحشا في + +86 +00:10:17,470 --> 00:10:26,640 +القلب و في كل عضو لها جمرةيعني كل مفصل لها قدرة في + +87 +00:10:26,640 --> 00:10:34,980 +جسوم الأنام حباها بيه الله ذو القدرة و طورا ألقبها + +88 +00:10:34,980 --> 00:10:41,880 +سقنة و طورا ألقبها فترة يعني هذه الحمّة يعني مرة + +89 +00:10:41,880 --> 00:10:50,000 +أشعر بحرارة شديدة و مرة و مرة أخرى أشعر بفتور + +90 +00:10:52,720 --> 00:11:00,020 +وصرت إذا جُعت يومًا ضللت كأن على كبدي شفرة عندما + +91 +00:11:00,020 --> 00:11:09,990 +يشعر بالجوعطبعا سبب الحمّة يعني يستهلك الإنسان كل + +92 +00:11:09,990 --> 00:11:18,890 +ما يخزنه من سكريات في الكبد فيشعر بأن كبده قد تمزق + +93 +00:11:18,890 --> 00:11:26,570 +لأنه أفرض كل ما فيه من السكر في الدم فيشعر بأن + +94 +00:11:26,570 --> 00:11:34,950 +كبده قد جرحت بشفرةويرب الطحال إذا ما شبعت فتعل + +95 +00:11:34,950 --> 00:11:43,920 +الترائب والسدرة يعني عندما يأكل يشتفع الطحالفتعلوا + +96 +00:11:43,920 --> 00:11:50,020 +الترائب والترائب هي أيه؟ العظام التي بأعلى الصدر + +97 +00:11:50,020 --> 00:11:55,740 +وأما الصدرة فهي الحجاب الحاجز الذي يفصل بين الصدر + +98 +00:11:55,740 --> 00:12:04,520 +والبطن فمع ال .. فإذا ما أكل طبعا وشبعه فإن هذا + +99 +00:12:04,520 --> 00:12:11,980 +الأكل يعني يربو ويطفوهي المعدة وطبعا يؤدي إلى + +100 +00:12:11,980 --> 00:12:19,380 +ارتفاع أظام الصدر وإلى ارتفاع الحجاب الحاجز وأمسي + +101 +00:12:19,380 --> 00:12:24,760 +كأني من معدتي لبست ثيابة على ذُكرة طبعا هذه + +102 +00:12:24,760 --> 00:12:31,840 +الحرارة المتولدة في المعدةكأنها ذق قخمر، الذكرة هي + +103 +00:12:31,840 --> 00:12:39,560 +ذق قخمر، و هذا الذق يكون الخمر فيه متفاعل + +104 +00:12:39,560 --> 00:12:43,400 +وتفتفع + +105 +00:12:43,400 --> 00:12:51,000 +حرارته مع الحركة، كما المعدة، كما معدتهفهي مع + +106 +00:12:51,000 --> 00:12:59,980 +الأكل تصبح الحارة كزق الخمرة إذا ما رأيت مرأة + +107 +00:12:59,980 --> 00:13:06,300 +مطلقة له الأكل تخنقني العبرة إذا رأيت إنسان مسموح + +108 +00:13:06,300 --> 00:13:14,740 +له أن يأكل ما يشاءتخنقني العبرة الدمعة على ما + +109 +00:13:14,740 --> 00:13:22,580 +فاتني وعلى تذكر الأيام التي كنت يعني أتناول فيها + +110 +00:13:22,580 --> 00:13:30,280 +الطعام بحرية وطلاقة كأني في منزلي مخصبا ببلقعة + +111 +00:13:30,280 --> 00:13:39,230 +جدبة قفرةوهنا طبعا أيه تشبيه تمثيلي حيث شبهه وهو + +112 +00:13:39,230 --> 00:13:47,130 +في منزله وقد سمح له في منزله وهو مليء بالأطعمة + +113 +00:13:47,130 --> 00:13:54,310 +المختلفة ولكنه ممنوع من أن يتناولها كمن هو ببلقة + +114 +00:13:54,310 --> 00:14:05,230 +كما هو بصحراء جدب لا حياة فيها ولا ماءإذا وجدنا إن + +115 +00:14:05,230 --> 00:14:11,570 +الشاعر العباسي قد أفرغ تجربته كاملة في قصيدة كاملة + +116 +00:14:11,570 --> 00:14:18,170 +مما طبع القصيدة العباسية بطابع الموضوعية يعني + +117 +00:14:18,170 --> 00:14:25,270 +احتوت على موضوع واحد وعلى تجربة واحدة كذلك من + +118 +00:14:25,270 --> 00:14:31,670 +التجارب التي استحوذت على قصيدة كاملة بكاء الشباب + +119 +00:14:32,930 --> 00:14:39,590 +وقد رأيناه في السابق يعني يأتي في بيت أو بيتين نرى + +120 +00:14:39,590 --> 00:14:46,810 +هناك قصيدة كاملة تستقلبتجربة لمحمد ابن حازم + +121 +00:14:46,810 --> 00:14:53,170 +الباهلي فيقول سقيا ورعيا لأيام الشباب وإن لم يبقى + +122 +00:14:53,170 --> 00:15:00,130 +منه له رصم ولا طلل ليت المناية أصبتني بأسهمها فكن + +123 +00:15:00,130 --> 00:15:07,230 +يبكين عهدي قبل أكتهل عهد الشباب لقد أبقيت لي حزنا + +124 +00:15:07,230 --> 00:15:15,260 +ما جد ذكرك إلا جد لي سكلوالعرب تستعمل هذا الاسلوب + +125 +00:15:15,260 --> 00:15:21,880 +سقيا و رعيا للأماكن الرائعة الجميلة التي كان + +126 +00:15:21,880 --> 00:15:29,660 +يحياها الشاعر سابقا أو الأزمنة سواء الزمان الجميل + +127 +00:15:29,660 --> 00:15:35,000 +و هو جمال الشباب أو المكان الجميل و هو مكان الذي + +128 +00:15:35,000 --> 00:15:41,800 +كان يعيش فيه الديار أو الأوطانفكان يدعو لها + +129 +00:15:41,800 --> 00:15:48,540 +بالسقيا أو بالسقي والرعيسقيا و رعيا لأيام الشباب + +130 +00:15:48,540 --> 00:15:56,420 +وإن لم يبقى منه له رسم ولا طلل كلمة رسم وطلل إذا + +131 +00:15:56,420 --> 00:16:04,580 +اجتمعتا افترقتا فرسم هو ما يتبقى من الديار القديمة + +132 +00:16:04,580 --> 00:16:11,420 +تحت الأرض رسم وأما ما يبقى منها فوق الأرض فهو طلل + +133 +00:16:12,390 --> 00:16:18,450 +لم يبقى منه له رسم ولا طلل ليت المنايا أصابتني + +134 +00:16:18,450 --> 00:16:25,330 +بأسهمها فكنا يبكينا عهدي قبل أكتهلهم طبعا هنا تمني + +135 +00:16:25,330 --> 00:16:34,200 +الموت هناإنما يعبره عن حالة اليأس والحزن العميق + +136 +00:16:34,200 --> 00:16:41,680 +على ما فات من أيام الشباب فهو يتمنى أن يموت مبكرا + +137 +00:16:41,680 --> 00:16:48,840 +قبل أن يصل إلى سن الكهولة والكهولة هي ما بين + +138 +00:16:48,840 --> 00:16:54,650 +الثلاثين والاربعين من عمر الإنسانودليلنا في ذلك + +139 +00:16:54,650 --> 00:17:00,230 +قول تعالى و يُكلم الناس في المهد و كهلا يعني هذا + +140 +00:17:00,230 --> 00:17:04,950 +إيه عيسى ابن مريم من معجزاته أنه يُكلم الناس في + +141 +00:17:04,950 --> 00:17:13,470 +المهد حين كان وليدا صغيرا و يُكلمهم عندما في فترة + +142 +00:17:13,470 --> 00:17:19,950 +الكهولة و ذلك أنه ينزل من السماء إلى المنارة + +143 +00:17:19,950 --> 00:17:25,750 +البيضاء بدمشقوهذه معجزة أخرى أيضًا لعيسى عليه + +144 +00:17:25,750 --> 00:17:32,510 +السلام وعلى نبينا محمد أزكى الصلاة والتسليم عهد + +145 +00:17:32,510 --> 00:17:40,190 +الشباب لقد أبقيت لي حزنا حزنا يعني ما يثير الحزن + +146 +00:17:40,190 --> 00:17:48,750 +أبقيت لي أشياء تثير الحزن والحزن يكون على فائدعلى + +147 +00:17:48,750 --> 00:17:59,070 +على شيء فائت على شيء جميل قد فات ما جد ذكرك إلا جد + +148 +00:17:59,070 --> 00:18:08,630 +لي ثكل يعني ما ظهر لك ما ظهر من ذكرك إلا أثار في + +149 +00:18:08,630 --> 00:18:17,340 +الحزن العميق وهو كحزنالمرأة على وليدها وهو أشد + +150 +00:18:17,340 --> 00:18:25,920 +أنواع الحزن وهو السكل ولا يقال إلا إيه للأم سكلتك + +151 +00:18:25,920 --> 00:18:32,920 +أمك يا معاذ أيضا + +152 +00:18:32,920 --> 00:18:38,930 +وجدنا من التجارب أيضا تجربة الخريم أبو يعقوبالذي + +153 +00:18:38,930 --> 00:18:45,910 +فقد بصرة فقال في قصيدة معبر فيها عن تجربته في فقد + +154 +00:18:45,910 --> 00:18:51,010 +بصرة فقال أصغي إلى قائدي ليخبرني + +155 +00:18:53,880 --> 00:19:00,380 +إذا ألتقينا عمّا يحيّني أريد أن أعدل السلامة وأن + +156 +00:19:00,380 --> 00:19:05,900 +أفصل بين الشريك والدني أسمع ما لا أرى فأكره أن + +157 +00:19:05,900 --> 00:19:14,540 +أخطئ والسمع غير مؤمنيوالإصغاء هو إطالة الاجتماع + +158 +00:19:14,540 --> 00:19:21,820 +وقد يأتي أيضا بمعنى إطالة النظر كما قال العبث من + +159 +00:19:21,820 --> 00:19:30,040 +الأحنك تلفت نحو الحي حتى وجدتني وجعت من الإصغاء + +160 +00:19:30,040 --> 00:19:39,200 +ليتا وأخدعالإصغاء قد تأتي بمعنى إطالة النظر وبمعنى + +161 +00:19:39,200 --> 00:19:45,420 +أيضًا إطالة الاستماع كما في هذا البيت وذلك أن + +162 +00:19:45,420 --> 00:19:54,720 +المكفوفيعتمد على السماعة في اكتساب المعارف + +163 +00:19:54,720 --> 00:20:02,620 +والمعلومات وتقييم الأشياء يعتمد على السماعة بخلاف + +164 +00:20:02,620 --> 00:20:11,580 +الإنسان المبصر فهو يعتمد بشكل أساسي على البصر أصغي + +165 +00:20:11,580 --> 00:20:19,220 +إلى قائدي لماذا ليخبرنيإذا ألتقينا عمّا يحييني + +166 +00:20:19,220 --> 00:20:27,360 +يعني أنا أصغي و أطير الاستماع حتى يعني يتبين ليه + +167 +00:20:27,360 --> 00:20:35,240 +من الذي يحييني من الذي يطرح علي التحية لأن من يطرح + +168 +00:20:35,240 --> 00:20:41,500 +علي التحية هو إنسان شريف وأما من لا يطرح ذلك + +169 +00:20:41,500 --> 00:20:50,100 +السلام فهو إنسان وضيعأريد أن أعدل السلام وأن أفصل + +170 +00:20:50,100 --> 00:21:00,600 +بين الشريف والدون فأنا في إصغائي لقائدي إنما أريد + +171 +00:21:00,600 --> 00:21:06,300 +أن أقوم بأمرين واحد أن أرد السلام أن أعدل السلام + +172 +00:21:06,300 --> 00:21:12,920 +على من طرحه عليّ لأن رد السلام سنة + +173 +00:21:14,970 --> 00:21:20,590 +لأ أفضل لأن طرح السلام سنة و الرد واجب فمن يطرح + +174 +00:21:20,590 --> 00:21:26,430 +السلام سنة لكن الرد واجب ولذلك قال أريد أن أعدي + +175 +00:21:26,430 --> 00:21:33,160 +للسلام يعني أرد السلامالشيء الثاني هو أن أفصل بين + +176 +00:21:33,160 --> 00:21:40,100 +الشريف والدني وأريد أن أفصل بين الإنسان الشريف وهو + +177 +00:21:40,100 --> 00:21:46,540 +الذي يطرح علي السلام والإنسان الوضيع الذي لا يطرح + +178 +00:21:46,540 --> 00:21:55,170 +السلام عليهأسمع ما لا أرى فأكره أن أخطئ و السمع + +179 +00:21:55,170 --> 00:22:02,810 +غير مأمون فأنا أسمع أو أركز على السماع لأنني لا + +180 +00:22:02,810 --> 00:22:11,290 +أستطيع أن أرى ما أسمع ولذلك ايه أنا أدقق في + +181 +00:22:11,290 --> 00:22:20,390 +الاستماع حتى لا أخطئوالسمع غير مأمون في الخطأ غير + +182 +00:22:20,390 --> 00:22:33,790 +مأمون في الخطأ و لذا يتفجع هنا لفقله العين فقال + +183 +00:22:33,790 --> 00:22:40,970 +لله عين التي فجعت بها لو أن دهرا بها يواتيني فهذا + +184 +00:22:40,970 --> 00:22:48,550 +اسلوب فيه تحصر وتوجعلغيابي العين أو لفقدي العين + +185 +00:22:48,550 --> 00:22:55,650 +وهو تمنى لو هنا يعني بمعنى التمنى وإن كان طبعا حرف + +186 +00:22:55,650 --> 00:23:01,570 +امتناع للامتنعة لكنها تفيد التمنىلو أنا دهرا يعني + +187 +00:23:01,570 --> 00:23:09,990 +يا ليت دهرا بها يواتني لو كنت خيرت ما أخذت بها + +188 +00:23:09,990 --> 00:23:21,990 +تعمير نوح في ملك قارني لو وضعتفي خيار بين أن أخذ + +189 +00:23:21,990 --> 00:23:32,990 +أو أن تسترد عيني عافيتها و رؤيتها وبين يعني بقاء + +190 +00:23:32,990 --> 00:23:44,190 +نوح ومال قرون فإني أختار العينعلى رغبتي البقاء + +191 +00:23:44,190 --> 00:23:51,690 +والتملق أيضًا + +192 +00:23:51,690 --> 00:23:56,230 +من التجالب التي صورها الشاعر العباسي وأفرغها في + +193 +00:23:56,230 --> 00:24:03,370 +تجربة أو في قصيدة كاملة قول محمد ابن ياسير يصور + +194 +00:24:03,370 --> 00:24:10,700 +عطفه على بنية لهوحرصه الشديد على كرمتها قال لولا + +195 +00:24:10,700 --> 00:24:15,840 +البنية لم أجزع من العدم ولم أجب في الليالي حندس + +196 +00:24:15,840 --> 00:24:21,340 +الظلم وزادني رغبة في العيش معرفتي ذل الأتيمة + +197 +00:24:21,340 --> 00:24:29,380 +يجفوها ذو الرحم أخش فضاضة عم أو جفاء أخ وكنت أخش + +198 +00:24:29,380 --> 00:24:35,340 +عليها من أذى الكلمةإذا تذكرت بنتي حين تندبني جرت + +199 +00:24:35,340 --> 00:24:43,240 +لعبرة بنتي عبرتي بدمي طبعا هنا يعني عبر عن تجربة + +200 +00:24:43,240 --> 00:24:49,840 +خاصة به في قصيدة كاملة وكان يمكن أن تؤدى كما + +201 +00:24:49,840 --> 00:24:56,380 +السابق في بيت أو بيتين فقال لولا البنية لولا حرف + +202 +00:24:56,380 --> 00:25:06,100 +امتناع لوجودالبنية موجودة وامتنع عدم الجزع يعني لو + +203 +00:25:06,100 --> 00:25:15,440 +لا البنية البنية موجودة والجزع موجود فهو يجزع لأن + +204 +00:25:15,440 --> 00:25:28,530 +لديه بنيةوالذي دفعه إلى الجزع هو حرصه على بنيته + +205 +00:25:29,870 --> 00:25:37,430 +ولم أجب في الليالي حندس الظلم وأجب من أيه الجوب + +206 +00:25:37,430 --> 00:25:47,170 +فهو السير والتجول في الليل ولم أجب في الليالي حندس + +207 +00:25:47,170 --> 00:25:56,510 +الظلم الظلام الشديد وزدني رغبة في العيش وزدني محبة + +208 +00:25:56,510 --> 00:26:07,850 +في العيشR ثانىذل اليتيمة يجفوها ذو الرحم ولم يقول + +209 +00:26:07,850 --> 00:26:15,370 +إيه عرفاني فعبّر بالاسم بدل المصدر و ذلك تعميقًا + +210 +00:26:15,370 --> 00:26:21,070 +للرغبة في العيش يريد أن يثبت هذه الرغبة فقال + +211 +00:26:21,070 --> 00:26:28,110 +معرفتي ولم يقول عرفاني أخش فظاذة عم أو جفاء أخ + +212 +00:26:28,110 --> 00:26:36,080 +وكنت أخش عليها من أذا الكلمةفهو يعني يخشى على هذه + +213 +00:26:36,080 --> 00:26:41,920 +البنية من فضادة العم لأن العم يستخدم اللغة الفظة + +214 +00:26:41,920 --> 00:26:51,480 +وهي لغة التخلية لا تفعلي، لا تعملي، لا تجلسي هذه + +215 +00:26:51,480 --> 00:26:59,650 +اللاءات هي التي تشكل فضادة أسلوب العمفالعام يركز + +216 +00:26:59,650 --> 00:27:08,730 +على أسلوب التخلية أسلوب التخلية وقد تغيب عنه + +217 +00:27:08,730 --> 00:27:19,550 +الأخلاق التحلية أخش فظاضة عام أو جفاء أخ والجفاء + +218 +00:27:19,550 --> 00:27:26,210 +يعني البعد عن الأخت والأخوات + +219 +00:27:28,850 --> 00:27:33,570 +أو جفاء أخ يعني + +220 +00:27:33,570 --> 00:27:42,900 +أخ لهذه البنية قد ينشغل الأخ بزوجته وأولادهوكنت + +221 +00:27:42,900 --> 00:27:48,160 +أخشى عليها من أذى الكلم كان في السابق يخشى عليها + +222 +00:27:48,160 --> 00:27:56,280 +من أذى الكلم فكيف بعد موته تتعرض لأذى الأفعال + +223 +00:27:56,280 --> 00:28:03,460 +والأعمال إذا تذكرت بنتي حين تندبني تذكر هنا طبعا + +224 +00:28:03,460 --> 00:28:08,850 +التذكر للمستقبل و التذكر يأتي للماضيلأنه غائب و + +225 +00:28:08,850 --> 00:28:14,930 +كذلك في المستقبل فهو غائب صح إذا إستعمال التذكر + +226 +00:28:14,930 --> 00:28:24,010 +للحاضر والغائب إذا تذكرت بنتي حين تندبني حين تحزن + +227 +00:28:24,010 --> 00:28:31,950 +علي وتبكيني وتذكر أفعالي وصفاتي جرت لعبرة بنتي + +228 +00:28:31,950 --> 00:28:39,990 +عبرتي بدمييعني جرك ليه لدمعة ابني .. بنتي دمعة بدم + +229 +00:28:39,990 --> 00:28:49,430 +مني يعني إذا بكت بنتي دموعا عليا فإنني سابكي دماء + +230 +00:28:49,430 --> 00:28:59,110 +وليس دموعا وذلذلك على أن عاطفة الأبوة أعمق من + +231 +00:28:59,110 --> 00:29:05,960 +عاطفة البنوةعاطفة الأبوة، يعني من الأبي إلى البنت + +232 +00:29:05,960 --> 00:29:16,300 +أقوى من علاقته وعاطفة البنت لأبيها أيضا + +233 +00:29:16,300 --> 00:29:26,960 +من الأشياء التي يعني نقف عليها هنا أيضا + +234 +00:29:26,960 --> 00:29:30,340 +موضوع الغيرة + +235 +00:29:31,690 --> 00:29:35,670 +قبل أن ندخل إلى هذا الموضوع نود أن نشير إلى أن + +236 +00:29:35,670 --> 00:29:41,650 +الأخلاق منها ما يرجع إلى صفات ثابتة كالكرم + +237 +00:29:41,650 --> 00:29:48,610 +والشجاعة والعفة والتقي ونحو ذلك فقلنا إن الكريم لا + +238 +00:29:48,610 --> 00:29:52,830 +يكون كريما إلا بأن يكون صادقا في كرمه + +239 +00:29:55,630 --> 00:30:03,190 +مستغرقًا لصفاتي أو للزمان والمكان والموضوع يعني + +240 +00:30:03,190 --> 00:30:09,830 +هذا الفعل يكون مستمر في الزمن مستمر في المكان + +241 +00:30:09,830 --> 00:30:17,610 +مستمر في الموضوع لكن هناك أخلاق مرتبطة بالحال وهي + +242 +00:30:17,610 --> 00:30:22,050 +من الأخلاق الجميلة وجمالها يرتد إلى أنها مرتبطة + +243 +00:30:22,050 --> 00:30:29,120 +بالحال في خلاف الأخلاقوالدين فإن جمالها يرتبط + +244 +00:30:29,120 --> 00:30:35,480 +بثبات صفاتها + +245 +00:30:35,480 --> 00:30:42,740 +في استغراقها للزمن والمكان والموضوع أما الغيرة + +246 +00:30:42,740 --> 00:30:49,480 +فإنها مرتبطة بالحال وليس بصفة ثابتة كغيرها من + +247 +00:30:49,480 --> 00:30:53,520 +أخلاق الكرم والشجاعة ونحو لذلك لذلك الغيرة تكون + +248 +00:30:53,520 --> 00:31:00,550 +جميلةحين ترتبط بالحال وليس بالصفة الثابتة كما قال + +249 +00:31:00,550 --> 00:31:05,330 +الشاعر الخريمي + +250 +00:31:05,330 --> 00:31:13,630 +ما أحسن الغيرة في حينها وأقبح الغيرة في كل حين من + +251 +00:31:13,630 --> 00:31:19,110 +لم يزل متهم عن عرسه متبعا فيها لقول الظنون يشك أن + +252 +00:31:19,110 --> 00:31:25,640 +يغريها بالذي يخاف أن يبلزها للعيونحسبك من تحصينها + +253 +00:31:25,640 --> 00:31:32,800 +واضعها منك إلى عرض صحيح وديني لا تطلع منك على ليبة + +254 +00:31:32,800 --> 00:31:41,220 +فيتبع المقرون حبل القرين طبعا هنا هذه الغيرة خلق + +255 +00:31:41,220 --> 00:31:46,720 +جميل لكن جماله في أنه يرتبط بالحال وليس بالصفة + +256 +00:31:46,720 --> 00:31:53,560 +الثابتة هناك أخلاق كثيرة ترتبط إلي بالحاليعني + +257 +00:31:53,560 --> 00:32:02,280 +بالحكمة بالعقل مثل الموعظة ادعوا إلى الله ادعوا + +258 +00:32:02,280 --> 00:32:08,780 +إلى سبيل ربك بالحكمة والموعظة الحسنة يعني اختار + +259 +00:32:08,780 --> 00:32:13,900 +لها الوقت المناسب والمكان المناسب والزمن المناسب + +260 +00:32:13,900 --> 00:32:19,560 +والموضوع المناسب والرجل المناسبهذه معنى إيه؟ ادعوا + +261 +00:32:19,560 --> 00:32:26,500 +لسبيل ربك بالحكمة والموعظة الحسنة والغيرة أيضًا + +262 +00:32:26,500 --> 00:32:34,720 +ترتبط بالحال يعني لتكن الغيرة في زمن معين في زمن + +263 +00:32:34,720 --> 00:32:39,980 +مناسب، مكان مناسب، في حال مناسبة وليس في كل + +264 +00:32:39,980 --> 00:32:47,040 +الأحوال وكل الأزمنة وكل الأمكنةفتصبح حينئذ قبيحة + +265 +00:32:47,040 --> 00:32:52,700 +لذلك قال و أقبح الغيرة في كل حيني يعني في كل زمن + +266 +00:32:52,700 --> 00:32:56,620 +إذا كانت مستغرقة للزمن فإنها تصبح قبيحة لكن إذا + +267 +00:32:56,620 --> 00:33:02,180 +كانت مرتبطة بالحال تكون جميلة و رائعة من لم يزل + +268 +00:33:02,180 --> 00:33:11,460 +متهما عرسه يعني عروسه متبعا فيها لقول الظنونييشك + +269 +00:33:11,460 --> 00:33:17,040 +أن يغريها بالذي يخاف أن يبرزها للعيون الإنسان الذي + +270 +00:33:17,040 --> 00:33:22,620 +يحمل العلاقة الزوجية على اقتهمته وعلى الظن السيء + +271 +00:33:22,620 --> 00:33:32,060 +فإنه يقود إلى مصيبة أكبر هناك مصائب قد تقود إلى + +272 +00:33:32,060 --> 00:33:38,230 +مصائب أكبروعلى الإنسان حينئذ أن يواجه ذلك بالثقة + +273 +00:33:38,230 --> 00:33:45,850 +أن يرجع إلى الثقة التي تحكمهم وهو النثاق وقد أخذ + +274 +00:33:45,850 --> 00:33:53,550 +الله مننا نثاقا غليظا يوشق أن يغريهابالذي يخاف أن + +275 +00:33:53,550 --> 00:33:59,190 +يُبرِذها للعيون إذا إذا استعمل الغيّر في كل وقت + +276 +00:33:59,190 --> 00:34:04,550 +والشك في كل وقت والظن في كل وقت في كل وقت فإنه + +277 +00:34:04,550 --> 00:34:12,010 +يقلب هذه هذا الخطأ إلى خطأ أكبر ومصيبة أعظم إذا + +278 +00:34:12,010 --> 00:34:18,980 +يكتفى بإرجاع الأمر إلى الثقة المتبادلةحسبك من + +279 +00:34:18,980 --> 00:34:26,060 +تحصينها واضعها منك إلى عرض صحيح وديني لا تطلع منك + +280 +00:34:26,060 --> 00:34:33,660 +على ريبة إياك أن تظهر ريبةوعليك أن تحافظ على الثقة + +281 +00:34:33,660 --> 00:34:39,820 +المتبادلة لأن الثقة تنتج أفعال ومواقف وصفات جميلة + +282 +00:34:39,820 --> 00:34:46,860 +لكن الذيبة تظهر أفعال وقيم وسلوك سيئة فيتبع + +283 +00:34:46,860 --> 00:34:52,970 +المقرون الذوجةحبل القرين اللي هو الزوج في الشك + +284 +00:34:52,970 --> 00:34:59,790 +وإذا كانت علاقة الشك والظن بينهما فإن هذا يقود إلى + +285 +00:34:59,790 --> 00:35:04,070 +الدمار والهلاك هذا وبالله التوفيق وصلى اللهم على + +286 +00:35:04,070 --> 00:35:08,910 +نبينا محمد وعلى آله وصحبه وسلم تسليما كثيرا +