diff --git "a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/XTSVi7CEhGg_raw.json" "b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/XTSVi7CEhGg_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/XTSVi7CEhGg_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4935, "start": 21.65, "end": 49.35, "text": "بسم الله الرحمن الرحيم يبقى نعود الان الى اكمال المحاضرة فى الفترة الصباحية حيث واخدنا ثلاث نظريات وذكرنا بالتعريفين التعريف الاول كان تعريف ال finite dimensional vector space او لو vector space عنده dimension ايه له يسوئن شو معناه معناه شغلتين وبعد ذلك روحنا لتعريف ال basis وقلنا ان مجموعا ال vector بسميهم basis اذا تحقق شرطان", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 7251, 3555, 4587, 7578, 8717, 3615, 23328, 2423, 7649, 2423, 7578, 1975, 24793, 6027, 9673, 5016, 46958, 25720, 6156, 7578, 27188, 2655, 25720, 31767, 3555, 39319, 10632, 11331, 1829, 12984, 4032, 47283, 3215, 8315, 38637, 1211, 5718, 104, 8717, 19913, 16572, 9307, 4032, 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{"start": 606.74, "end": 607.14, "word": " finite", "probability": 0.9501953125}, {"start": 607.14, "end": 608.24, "word": " dimensional", "probability": 0.8046875}, {"start": 608.24, "end": 609.3, "word": " قديش", "probability": 0.6315104166666666}, {"start": 609.3, "end": 609.46, "word": " ال", "probability": 0.98046875}, {"start": 609.46, "end": 609.92, "word": " dimension", "probability": 0.99267578125}, {"start": 609.92, "end": 610.82, "word": " هنا؟", "probability": 0.913818359375}], "temperature": 1.0}, {"id": 28, "seek": 63376, "start": 611.62, "end": 633.76, "text": "أربعة عدد العناصر في ال business أخدناها نظرا هي الصعبة يبقى باجي بقوله the dimension of the vector space M22 is أربعة", "tokens": [10721, 25513, 27884, 6225, 3215, 3215, 18863, 1863, 33546, 2288, 8978, 2423, 1606, 5551, 9778, 3215, 8315, 11296, 8717, 19913, 23557, 39896, 31767, 3615, 49401, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 264, 10139, 295, 264, 8062, 1901, 376, 7490, 307, 5551, 25513, 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"طب مادام اربعة يبقى ده finite dimensional ولا ماهواش finite؟ finite أيوة يبقى this برضه means that هذا يعني ان ال M22 is a finite dimensional vector space", "tokens": [9566, 3555, 3714, 18513, 10943, 1975, 25513, 27884, 7251, 3555, 4587, 7578, 11778, 3224, 19362, 18795, 49429, 19446, 3224, 2407, 33599, 19362, 22807, 19362, 36632, 2407, 3660, 7251, 3555, 4587, 7578, 341, 4724, 43042, 3224, 1355, 300, 23758, 37495, 22653, 16472, 2423, 376, 7490, 307, 257, 19362, 18795, 8062, 1901], "avg_logprob": -0.30514705999224795, "compression_ratio": 1.3311688311688312, "no_speech_prob": 0.0, "words": [{"start": 635.14, "end": 635.44, "word": "طب", "probability": 0.4803466796875}, {"start": 635.44, "end": 635.76, "word": " مادام", "probability": 0.7643229166666666}, {"start": 635.76, "end": 636.16, "word": " اربعة", "probability": 0.601318359375}, {"start": 636.16, "end": 636.46, "word": " يبقى", "probability": 0.923828125}, {"start": 636.46, "end": 636.66, "word": " ده", "probability": 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جديد أو vector space جديد غير هذا ال vector space", "tokens": [1863, 17082, 13546, 29538, 16247, 1863, 14407, 3615, 44945, 45367, 10874, 16254, 3215, 34051, 8062, 1901, 10874, 16254, 3215, 32771, 13546, 23758, 2423, 8062, 1901], "avg_logprob": -0.3443509626847047, "compression_ratio": 1.3209876543209877, "no_speech_prob": 0.0, "words": [{"start": 671.94, "end": 672.84, "word": "نغير", "probability": 0.6396484375}, {"start": 672.84, "end": 673.04, "word": " هذه", "probability": 0.399169921875}, {"start": 673.04, "end": 673.56, "word": " الأنواع", "probability": 0.925537109375}, {"start": 673.56, "end": 675.36, "word": " بنوع", "probability": 0.6273193359375}, {"start": 675.36, "end": 676.1, "word": " جديد", "probability": 0.984375}, {"start": 676.1, "end": 676.36, "word": " أو", "probability": 0.712890625}, {"start": 676.36, "end": 676.84, "word": " vector", "probability": 0.338623046875}, {"start": 676.84, "end": 677.8, "word": " space", "probability": 0.83251953125}, {"start": 677.8, 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{"start": 907.9, "end": 908.38, "word": " هنا", "probability": 0.857421875}, {"start": 908.38, "end": 908.68, "word": " بدى", "probability": 0.6690673828125}, {"start": 908.68, "end": 909.0, "word": " يقابله", "probability": 0.65576171875}, {"start": 909.0, "end": 909.12, "word": " ال", "probability": 0.48486328125}, {"start": 909.12, "end": 909.44, "word": " constant", "probability": 0.9609375}, {"start": 909.44, "end": 910.06, "word": " المعامل", "probability": 0.8306884765625}, {"start": 910.06, "end": 910.52, "word": " X1", "probability": 0.538818359375}, {"start": 910.52, "end": 910.78, "word": " بدى", "probability": 0.74755859375}, {"start": 910.78, "end": 911.06, "word": " يقابله", "probability": 0.945556640625}, {"start": 911.06, "end": 911.38, "word": " المعامل", "probability": 0.82684326171875}, {"start": 911.38, "end": 911.74, "word": " X1", "probability": 0.977294921875}, {"start": 911.74, "end": 912.14, "word": " المعامل", "probability": 0.9119873046875}, {"start": 912.14, 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اتنين هدول are linearly independent كلام صحيح مظبوط طيب يبقى خلصنا مين؟", "tokens": [2304, 3615, 8315, 3660, 28242, 9673, 3615, 10943, 1211, 9307, 4724, 10721, 3794, 5172, 9640, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 7251, 3555, 4587, 7578, 34105, 45164, 12174, 2288, 2288, 8315, 9673, 3615, 10943, 1211, 9307, 8978, 41950, 28480, 9957, 7251, 3555, 4587, 7578, 7251, 9381, 13546, 257, 15, 47525, 16572, 7251, 3794, 2407, 7578, 257, 16, 47525, 16572, 7251, 3794, 2407, 7578, 257, 17, 47525, 16572, 7251, 3794, 2407, 7578, 364, 47525, 16572, 7251, 3794, 2407, 7578, 3714, 9957, 2423, 4018, 5296, 15042, 12174, 2288, 2288, 8315, 9673, 3615, 10943, 1211, 9307, 7251, 3555, 4587, 7578, 5296, 33456, 1975, 3215, 3615, 36081, 3224, 16472, 1975, 2655, 1863, 9957, 8032, 3215, 12610, 366, 43586, 6695, 28242, 10943, 20328, 5016, 1829, 5016, 3714, 19913, 3555, 2407, 9566, 23032, 1829, 3555, 7251, 3555, 4587, 7578, 16490, 1211, 9381, 8315, 3714, 9957, 22807], "avg_logprob": -0.2318618837353233, 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959.94, "end": 960.58, "word": " ال", "probability": 0.470947265625}, {"start": 960.58, "end": 961.04, "word": " function", "probability": 0.75830078125}, {"start": 961.04, "end": 961.36, "word": " اللي", "probability": 0.96337890625}, {"start": 961.36, "end": 961.78, "word": " عندنا", "probability": 0.543701171875}, {"start": 961.78, "end": 962.34, "word": " يعني", "probability": 0.6116943359375}, {"start": 962.34, "end": 962.82, "word": " يبقى", "probability": 0.9423828125}, {"start": 962.82, "end": 963.22, "word": " باجي", "probability": 0.9246419270833334}, {"start": 963.22, "end": 963.9, "word": " بقوله", "probability": 0.8562825520833334}, {"start": 963.9, "end": 964.48, "word": " let", "probability": 0.79443359375}, {"start": 964.48, "end": 966.38, "word": " P", "probability": 0.54736328125}, {"start": 966.38, "end": 967.46, "word": " of", "probability": 0.339599609375}, {"start": 967.46, "end": 967.92, "word": " X", "probability": 0.9228515625}, {"start": 967.92, "end": 968.98, "word": " موجودة", "probability": 0.9832763671875}, {"start": 968.98, "end": 969.2, "word": " في", "probability": 0.98095703125}, {"start": 969.2, "end": 969.42, "word": " ال", "probability": 0.79345703125}, {"start": 969.42, "end": 970.2, "word": " PN", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 43, "seek": 99698, "start": 972.96, "end": 996.98, "text": "الـ P of X ممكن اكتبها P0 زائد P1X زائد P2X ترابيع زائد زائد PNXN اللي هي تساوي بقدر اكتبها بمناط P0 في واحد زائد P1 في X", "tokens": [6027, 39184, 430, 295, 1783, 3714, 43020, 1975, 4117, 2655, 3555, 11296, 430, 15, 30767, 16373, 3215, 430, 16, 55, 30767, 16373, 3215, 430, 17, 55, 6055, 2288, 16758, 40228, 30767, 16373, 3215, 30767, 16373, 3215, 430, 45, 55, 45, 13672, 1829, 39896, 6055, 3794, 995, 45865, 4724, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 4724, 2304, 8315, 9566, 430, 15, 8978, 36764, 24401, 30767, 16373, 3215, 430, 16, 8978, 1783], "avg_logprob": -0.2779947912527455, "compression_ratio": 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واحد", "probability": 0.86376953125}, {"start": 993.4, "end": 995.18, "word": " زائد", "probability": 0.9529622395833334}, {"start": 995.18, "end": 996.26, "word": " P1", "probability": 0.986572265625}, {"start": 996.26, "end": 996.58, "word": " في", "probability": 0.94921875}, {"start": 996.58, "end": 996.98, "word": " X", "probability": 0.8251953125}], "temperature": 1.0}, {"id": 44, "seek": 102656, "start": 997.7, "end": 1026.56, "text": "زائد P2 في X ترابيع زائد PN في X to the power N يعني أصبحت ال PX اللي موجودة في PN اللي أخدت هذه عشوائيا من PN هي عبارة عن من؟ linear combination من من؟ من ال linearly independent vectors هدول", "tokens": [11622, 16373, 3215, 430, 17, 8978, 1783, 6055, 2288, 16758, 40228, 30767, 16373, 3215, 430, 45, 8978, 1783, 281, 264, 1347, 426, 37495, 22653, 5551, 9381, 3555, 33753, 2423, 430, 55, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 430, 45, 13672, 1829, 5551, 9778, 3215, 2655, 29538, 6225, 8592, 2407, 16373, 25528, 9154, 430, 45, 39896, 6225, 3555, 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{"start": 1047.12, "end": 1047.7, "word": " P", "probability": 0.9755859375}, {"start": 1047.7, "end": 1048.54, "word": " of", "probability": 0.92724609375}, {"start": 1048.54, "end": 1049.02, "word": " X", "probability": 0.8984375}, {"start": 1049.02, "end": 1049.66, "word": " is", "probability": 0.9443359375}, {"start": 1049.66, "end": 1050.66, "word": " a", "probability": 0.9384765625}, {"start": 1050.66, "end": 1051.46, "word": " linear", "probability": 0.94873046875}, {"start": 1051.46, "end": 1053.8, "word": " combination", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 46, "seek": 107248, "start": 1064.9, "end": 1072.48, "text": "يبقى هدول linearly independent وكل element في البرنامج اللي هو linear combination يبقى هدول عبارة عن ايه؟", "tokens": [1829, 3555, 4587, 7578, 8032, 3215, 12610, 43586, 6695, 4032, 28820, 4478, 8978, 2423, 26890, 8315, 2304, 7435, 13672, 1829, 31439, 8213, 6562, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 3224, 22807], "avg_logprob": -0.4312499888241291, "compression_ratio": 1.2583333333333333, "no_speech_prob": 0.0, "words": [{"start": 1064.8999999999999, "end": 1065.58, "word": "يبقى", "probability": 0.7040863037109375}, {"start": 1065.58, "end": 1065.88, "word": " هدول", "probability": 0.4243977864583333}, {"start": 1065.88, "end": 1066.34, "word": " linearly", "probability": 0.1962890625}, {"start": 1066.34, "end": 1067.28, "word": " independent", "probability": 0.90625}, {"start": 1067.28, "end": 1068.06, "word": " وكل", "probability": 0.75146484375}, {"start": 1068.06, "end": 1068.56, "word": " element", "probability": 0.859375}, {"start": 1068.56, "end": 1068.76, "word": " في", "probability": 0.724609375}, {"start": 1068.76, "end": 1069.4, "word": " البرنامج", "probability": 0.7382080078125}, {"start": 1069.4, "end": 1069.62, "word": " اللي", "probability": 0.718994140625}, {"start": 1069.62, "end": 1069.82, "word": " هو", "probability": 0.96533203125}, {"start": 1069.82, 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"probability": 0.90869140625}, {"start": 1085.17, "end": 1085.71, "word": " N", "probability": 0.6787109375}, {"start": 1085.71, "end": 1086.89, "word": " is", "probability": 0.7978515625}, {"start": 1086.89, "end": 1088.25, "word": " a", "probability": 0.89306640625}, {"start": 1088.25, "end": 1089.11, "word": " basis", "probability": 0.857421875}, {"start": 1089.11, "end": 1090.93, "word": " for", "probability": 0.9501953125}, {"start": 1090.93, "end": 1092.75, "word": " PN", "probability": 0.86669921875}, {"start": 1092.75, "end": 1094.49, "word": " this", "probability": 0.40625}, {"start": 1094.49, "end": 1096.19, "word": " basis", "probability": 0.9345703125}, {"start": 1096.19, "end": 1097.57, "word": " is", "probability": 0.96337890625}, {"start": 1097.57, "end": 1098.49, "word": " called", "probability": 0.91162109375}, {"start": 1098.49, "end": 1102.07, "word": " the", "probability": 0.8125}, {"start": 1102.07, "end": 1103.23, "word": " standard", "probability": 0.8828125}, {"start": 1103.23, "end": 1107.17, "word": " basis", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 48, "seek": 113581, "start": 1109.93, "end": 1135.81, "text": "for PN طب هو في السؤال قال لي هاتلي بيزز و هاتلي ال dimension لل vector space PN مش هيك سؤال يبقى احنا أجبنا حتى الآن على نصف السؤال و بقى النصف الآخر find a basis او جدنا له basis وطوله هو ال standard basis", "tokens": [2994, 430, 45, 23032, 3555, 31439, 8978, 21136, 33604, 6027, 50239, 32239, 8032, 9307, 20292, 4724, 1829, 11622, 11622, 4032, 8032, 9307, 20292, 2423, 10139, 24976, 8062, 1901, 430, 45, 37893, 39896, 4117, 8608, 33604, 6027, 7251, 3555, 4587, 7578, 1975, 5016, 8315, 5551, 7435, 3555, 8315, 11331, 49975, 6024, 48506, 15844, 8717, 9381, 5172, 21136, 33604, 6027, 4032, 4724, 4587, 7578, 28239, 9381, 5172, 6024, 95, 34740, 915, 257, 5143, 1975, 2407, 10874, 3215, 8315, 46740, 5143, 4032, 9566, 12610, 3224, 31439, 2423, 3832, 5143], "avg_logprob": -0.29687499794466743, "compression_ratio": 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"probability": 0.96728515625}, {"start": 1234.57, "end": 1235.81, "word": " نمرة", "probability": 0.7607421875}, {"start": 1235.81, "end": 1236.39, "word": " واحد", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 53, "seek": 126149, "start": 1237.19, "end": 1261.49, "text": "الأساس اليمين واحد و X و X تربيع هو الأساس الواضح لـ P3 ولا P2 يا فنات؟ P2", "tokens": [6027, 10721, 3794, 32277, 2423, 32640, 9957, 36764, 24401, 4032, 1783, 4032, 1783, 6055, 2288, 21292, 3615, 31439, 16247, 3794, 32277, 2423, 2407, 46958, 5016, 5296, 39184, 430, 18, 49429, 430, 17, 35186, 6156, 8315, 2655, 22807, 430, 17], "avg_logprob": -0.5624999955296517, "compression_ratio": 1.28125, "no_speech_prob": 0.0, "words": [{"start": 1237.19, "end": 1239.03, "word": "الأساس", "probability": 0.415985107421875}, {"start": 1239.03, "end": 1239.89, "word": " اليمين", "probability": 0.6209716796875}, {"start": 1239.89, "end": 1240.79, "word": " واحد", "probability": 0.839111328125}, {"start": 1240.79, "end": 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1276.58, "end": 1277.02, "word": " وابدا", "probability": 0.6673177083333334}, {"start": 1277.02, "end": 1279.0, "word": " بمقدار", "probability": 0.952392578125}, {"start": 1279.0, "end": 1279.76, "word": " واحد", "probability": 0.96923828125}, {"start": 1279.76, "end": 1281.62, "word": " صحيح", "probability": 0.837890625}, {"start": 1281.62, "end": 1289.48, "word": " طيب", "probability": 0.780029296875}, {"start": 1289.48, "end": 1290.1, "word": " نمر", "probability": 0.807373046875}, {"start": 1290.1, "end": 1290.6, "word": " اتنين", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 55, "seek": 131840, "start": 1292.18, "end": 1318.4, "text": "بدأ أخليه على شكل كأنه مثال صغير show that the set اللي هو main x تربيع زائد x x ناقص واحد x زائد واحد is a basis for P2", "tokens": [3555, 3215, 10721, 5551, 9778, 20292, 3224, 15844, 13412, 28820, 9122, 33456, 3224, 50113, 6027, 20328, 17082, 13546, 855, 300, 264, 992, 13672, 1829, 31439, 2135, 2031, 6055, 2288, 21292, 3615, 30767, 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P2 اول شي هدول موجودة فى P2 بدي اثبت له انهم linearly independent و بدي اثبت انه اي element موجود فى P2 هو linear combination من هدول او بمعنى اخر هدول عددهم تلاتة", "tokens": [5172, 7578, 430, 17, 20328, 5016, 22807, 6156, 8592, 11778, 47341, 3660, 1975, 4117, 2655, 2288, 9154, 1975, 2655, 1863, 9957, 28242, 3224, 1783, 6055, 25513, 10632, 4032, 7649, 11622, 1211, 7251, 3555, 4587, 7578, 4724, 1829, 26895, 32239, 16472, 8032, 3215, 12610, 307, 257, 5143, 337, 430, 17, 1975, 12610, 44049, 8032, 3215, 12610, 3714, 29245, 23328, 3660, 6156, 7578, 430, 17, 4724, 16254, 1975, 12984, 3555, 2655, 46740, 16472, 16095, 43586, 6695, 4032, 4724, 16254, 1975, 12984, 3555, 2655, 16472, 3224, 1975, 1829, 4478, 3714, 29245, 23328, 6156, 7578, 430, 17, 31439, 8213, 6562, 9154, 8032, 3215, 12610, 1975, 2407, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 8032, 3215, 12610, 6225, 3215, 3215, 16095, 6055, 1211, 9307, 3660], "avg_logprob": -0.17652375638977555, "compression_ratio": 1.6324786324786325, 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الـ X ناقص واحد زياد C في الـ X زياد واحد كله يساوي Zero", "tokens": [6780, 456, 2514, 316, 4032, 33, 4032, 34, 294, 497, 1270, 300, 4724, 5016, 1829, 12984, 14739, 2423, 39184, 316, 8978, 2423, 39184, 1783, 6055, 2288, 21292, 3615, 30767, 1829, 18513, 1783, 30767, 16373, 3215, 363, 2423, 39184, 1783, 8717, 995, 4587, 9381, 36764, 24401, 30767, 1829, 18513, 383, 8978, 2423, 39184, 1783, 30767, 1829, 18513, 36764, 24401, 28242, 3224, 7251, 3794, 995, 45865, 17182], "avg_logprob": -0.2670454459659981, "compression_ratio": 1.4068965517241379, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1410.51, "end": 1411.29, "word": "that", "probability": 0.0904541015625}, {"start": 1411.29, "end": 1412.75, "word": " there", "probability": 0.87939453125}, {"start": 1412.75, "end": 1413.57, "word": " exist", "probability": 0.8251953125}, {"start": 1413.57, "end": 1414.27, "word": " A", "probability": 0.335693359375}, {"start": 1414.27, "end": 1415.31, "word": " وB", "probability": 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"end": 1484.31, "text": "هذه AX² مافيش غيرها من الدرجة التانية هذه و هذه و هذه كلهم من الدرجة الأولى يبقى بدي أخد X عامل مشترك بيظل A زائد B زائد C في ال X الثوابط كتالي يبقى زائد عندك هنا C و سالب B كله بده يسوي قداش Zero", "tokens": [3224, 24192, 316, 55, 27643, 19446, 41185, 8592, 32771, 13546, 11296, 9154, 32748, 47341, 3660, 16712, 7649, 10632, 29538, 4032, 29538, 4032, 29538, 28242, 16095, 9154, 32748, 47341, 3660, 16247, 12610, 7578, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 9778, 3215, 1783, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 316, 30767, 16373, 3215, 363, 30767, 16373, 3215, 383, 8978, 2423, 1783, 6024, 104, 14407, 3555, 9566, 9122, 2655, 6027, 1829, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 43242, 4117, 34105, 383, 4032, 8608, 6027, 3555, 363, 28242, 3224, 47525, 3224, 7251, 3794, 45865, 12174, 3215, 33599, 17182], "avg_logprob": -0.21287129066958285, "compression_ratio": 1.7142857142857142, "no_speech_prob": 0.0, "words": [{"start": 1456.31, 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66, "seek": 159526, "start": 1577.9, "end": 1595.26, "text": "بس اسمع شوية، لو أنا ماعيش خبر هيك ونايم على روحي وكذا، يمكن بروح أثبت أن أي element في الـP2 هو linear combination من هدول، بس هذه قصة بتطول شوية، يعني بالدرجة على معلوماتي في النظريات تبعت الصبح، أي basis في نفس العدد من", "tokens": [3555, 3794, 24525, 2304, 3615, 13412, 2407, 10632, 12399, 45164, 41850, 19446, 3615, 1829, 8592, 16490, 26890, 39896, 4117, 4032, 8315, 32640, 15844, 12602, 2407, 5016, 1829, 4032, 4117, 15730, 12399, 7251, 43020, 4724, 32887, 5016, 5551, 12984, 3555, 2655, 14739, 36632, 4478, 8978, 2423, 39184, 47, 17, 31439, 8213, 6562, 9154, 8032, 3215, 12610, 12399, 4724, 3794, 29538, 12174, 9381, 3660, 39894, 9566, 12610, 13412, 2407, 10632, 12399, 37495, 22653, 20666, 3215, 47341, 3660, 15844, 20449, 1211, 20498, 9307, 1829, 8978, 28239, 19913, 16572, 9307, 6055, 3555, 34268, 31767, 49628, 12399, 36632, 5143, 8978, 8717, 36178, 18863, 3215, 3215, 9154], "avg_logprob": -0.20710784781212901, 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مثال لما جيبنا", "tokens": [1829, 3555, 4587, 7578, 35186, 4724, 8315, 2655, 23032, 1211, 3615, 8315, 2423, 7649, 2423, 3832, 5143, 31439, 36764, 24401, 4032, 1783, 4032, 1783, 6055, 2288, 21292, 3615, 4032, 10874, 1829, 3555, 8315, 5143, 5551, 34740, 13672, 1829, 31439, 13672, 1829, 12174, 3215, 10943, 8315, 23758, 23032, 3555, 3615, 995, 3714, 43020, 8717, 7435, 1829, 3555, 5143, 5551, 34740, 9957, 4032, 8032, 4117, 15730, 50113, 1211, 13672, 1829, 31439, 9673, 12984, 6027, 8978, 3714, 5016, 46958, 25720, 31767, 49628, 5551, 34740, 50113, 6027, 5296, 15042, 10874, 1829, 3555, 8315], "avg_logprob": -0.14296874354283015, "compression_ratio": 1.7679558011049723, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1653.53, "end": 1654.01, "word": "يبقى", "probability": 0.76171875}, {"start": 1654.01, "end": 1654.13, "word": " يا", "probability": 0.97802734375}, {"start": 1654.13, "end": 1654.69, "word": " بنات", "probability": 0.8795572916666666}, {"start": 1654.69, "end": 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basis لهذا ال vector space نعطي كمان مثال بس عادى بيختلف شوية عن ما سبق من الأمثلة لذلك بده تفكير شوية", "tokens": [45340, 2407, 18513, 9307, 8978, 430, 17, 366, 43586, 6695, 13672, 1829, 44945, 5172, 3615, 7251, 30544, 14407, 5143, 46740, 15730, 2423, 8062, 1901, 8717, 3615, 9566, 1829, 9122, 2304, 7649, 50113, 6027, 4724, 3794, 6225, 18513, 7578, 4724, 1829, 46456, 46538, 13412, 2407, 10632, 18871, 19446, 8608, 3555, 4587, 9154, 16247, 2304, 12984, 37977, 5296, 8848, 23275, 47525, 3224, 6055, 5172, 4117, 13546, 13412, 2407, 10632], "avg_logprob": -0.2665441154557116, "compression_ratio": 1.3532608695652173, "no_speech_prob": 0.0, "words": [{"start": 1699.61, "end": 1700.59, "word": "الموادات", "probability": 0.6092529296875}, {"start": 1700.59, "end": 1700.73, "word": " في", "probability": 0.81689453125}, {"start": 1700.73, "end": 1701.17, "word": " P2", "probability": 0.912109375}, {"start": 1701.17, "end": 1701.51, "word": " are", "probability": 0.06146240234375}, {"start": 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1865.46, "text": "اللي بتكون من ثلاث مراكبات المراكبة الاولى X واحد المراكبة التانية X التانية المراكبة التالتة اتنين المراكبة الاولى زائد المراكبة التالتة كويس هذا بلغتنا قبل هيك اثبتنا انه الصعب ال space", "tokens": [6027, 20292, 39894, 30544, 9154, 38637, 1211, 5718, 104, 3714, 23557, 4117, 3555, 9307, 9673, 23557, 4117, 49401, 42963, 12610, 7578, 1783, 36764, 24401, 9673, 23557, 4117, 49401, 16712, 7649, 10632, 1783, 16712, 7649, 10632, 9673, 23557, 4117, 49401, 16712, 6027, 2655, 3660, 1975, 2655, 1863, 9957, 9673, 23557, 4117, 49401, 42963, 12610, 7578, 30767, 16373, 3215, 9673, 23557, 4117, 49401, 16712, 6027, 2655, 3660, 9122, 45865, 3794, 23758, 4724, 1211, 17082, 2655, 8315, 12174, 36150, 39896, 4117, 1975, 12984, 3555, 2655, 8315, 16472, 3224, 31767, 3615, 3555, 2423, 1901], "avg_logprob": -0.22441621337618148, "compression_ratio": 2.1464968152866244, "no_speech_prob": 0.0, "words": [{"start": 1848.06, "end": 1848.38, "word": "اللي", "probability": 0.28466796875}, {"start": 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"probability": 0.9686279296875}, {"start": 2366.0, "end": 2366.74, "word": " على", "probability": 0.90576171875}, {"start": 2366.74, "end": 2367.32, "word": " هذا", "probability": 0.76171875}, {"start": 2367.32, "end": 2367.58, "word": " ال", "probability": 0.8701171875}, {"start": 2367.58, "end": 2368.1, "word": " definition", "probability": 0.86181640625}, {"start": 2368.1, "end": 2368.66, "word": " يبقى", "probability": 0.86181640625}, {"start": 2368.66, "end": 2369.56, "word": " definition", "probability": 0.841796875}, {"start": 2369.56, "end": 2371.36, "word": " let", "probability": 0.7421875}, {"start": 2371.36, "end": 2372.84, "word": " ال", "probability": 0.66943359375}, {"start": 2372.84, "end": 2373.3, "word": " V", "probability": 0.6162109375}, {"start": 2373.3, "end": 2374.52, "word": " and", "probability": 0.779296875}, {"start": 2374.52, "end": 2375.68, "word": " ال", "probability": 0.8857421875}, {"start": 2375.68, "end": 2376.4, "word": " W", "probability": 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2387.29, "end": 2389.83, "word": " خطوات", "probability": 0.440185546875}, {"start": 2389.83, "end": 2392.41, "word": " توا", "probability": 0.6263427734375}, {"start": 2392.41, "end": 2392.93, "word": " فكتر", "probability": 0.9622802734375}, {"start": 2392.93, "end": 2393.45, "word": " خطوات", "probability": 0.968017578125}, {"start": 2393.45, "end": 2393.45, "word": " توا", "probability": 0.4093017578125}, {"start": 2393.45, "end": 2393.45, "word": " فكتر", "probability": 0.9700927734375}, {"start": 2393.45, "end": 2393.95, "word": " خطوات", "probability": 0.95166015625}, {"start": 2393.95, "end": 2399.93, "word": " توا", "probability": 0.5731201171875}, {"start": 2399.93, "end": 2399.93, "word": " فكتر", "probability": 0.986328125}, {"start": 2399.93, "end": 2399.93, "word": " خطوات", "probability": 0.967041015625}, {"start": 2399.93, "end": 2400.49, "word": " توا", "probability": 0.674560546875}, {"start": 2400.49, "end": 2403.71, "word": " فكتر", "probability": 0.992431640625}, {"start": 2403.71, "end": 2403.97, "word": " خطوات", "probability": 0.973388671875}, {"start": 2403.97, "end": 2403.97, "word": " توا", "probability": 0.7548828125}, {"start": 2403.97, "end": 2403.97, "word": " فكتر", "probability": 0.9942626953125}, {"start": 2403.97, "end": 2404.07, "word": " خطوات", "probability": 0.9718017578125}, {"start": 2404.07, "end": 2404.07, "word": " توا", "probability": 0.86279296875}, {"start": 2404.07, "end": 2404.33, "word": " فكتر", "probability": 0.99462890625}, {"start": 2404.33, "end": 2404.93, "word": " خطوات", "probability": 0.9678955078125}, {"start": 2404.93, "end": 2404.93, "word": " توا", "probability": 0.91259765625}, {"start": 2404.93, "end": 2404.99, "word": " فكتر", "probability": 0.9947509765625}], "temperature": 1.0}, {"id": 98, "seek": 242688, "start": 2405.36, "end": 2426.88, "text": "بـ Mapping Mapping او Functions يام تفريقش عندنا Then a T is called T is called a linear transformation A linear transformation", "tokens": [3555, 39184, 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47525, 3224, 7251, 3794, 995, 45865, 383, 8978, 314, 295, 624, 337, 604, 39684, 383], "avg_logprob": -0.24743653647601604, "compression_ratio": 1.1, "no_speech_prob": 0.0, "words": [{"start": 2469.96, "end": 2471.34, "word": "أول", "probability": 0.532562255859375}, {"start": 2471.34, "end": 2472.04, "word": " خاصية", "probability": 0.9923502604166666}, {"start": 2472.04, "end": 2472.22, "word": " من", "probability": 0.95458984375}, {"start": 2472.22, "end": 2472.56, "word": " هذه", "probability": 0.98046875}, {"start": 2472.56, "end": 2473.46, "word": " الخواص", "probability": 0.773681640625}, {"start": 2473.46, "end": 2474.7, "word": " هي", "probability": 0.84033203125}, {"start": 2474.7, "end": 2475.28, "word": " T", "probability": 0.6123046875}, {"start": 2475.28, "end": 2476.32, "word": " of", "probability": 0.66455078125}, {"start": 2476.32, "end": 2477.16, "word": " C", "probability": 0.76953125}, {"start": 2477.16, "end": 2477.58, "word": " في", "probability": 0.841796875}, {"start": 2477.58, "end": 2477.96, "word": " U", "probability": 0.9912109375}, {"start": 2477.96, "end": 2479.02, "word": " بده", "probability": 0.4630126953125}, {"start": 2479.02, "end": 2479.46, "word": " يساوي", "probability": 0.865234375}, {"start": 2479.46, "end": 2480.08, "word": " C", "probability": 0.92138671875}, {"start": 2480.08, "end": 2480.76, "word": " في", "probability": 0.94775390625}, {"start": 2480.76, "end": 2481.3, "word": " T", "probability": 0.98388671875}, {"start": 2481.3, "end": 2481.92, "word": " of", "probability": 0.96826171875}, {"start": 2481.92, "end": 2482.44, "word": " U", "probability": 0.99365234375}, {"start": 2482.44, "end": 2483.78, "word": " for", "probability": 0.865234375}, {"start": 2483.78, "end": 2485.78, "word": " any", "probability": 0.89306640625}, {"start": 2485.78, "end": 2487.78, "word": " scalar", "probability": 0.91748046875}, {"start": 2487.78, "end": 2489.88, "word": " C", "probability": 0.923828125}], "temperature": 1.0}, {"id": 101, "seek": 250479, "start": 2502.63, "end": 2504.79, "text": "Condition التاني", "tokens": [9838, 67, 849, 16712, 7649, 1829], "avg_logprob": -0.75, "compression_ratio": 0.7586206896551724, "no_speech_prob": 0.0, "words": [{"start": 2502.63, "end": 2504.03, "word": "Condition", "probability": 0.537384033203125}, {"start": 2504.03, "end": 2504.79, "word": " التاني", "probability": 0.7517903645833334}], "temperature": 1.0}, {"id": 102, "seek": 253402, "start": 2505.82, "end": 2534.02, "text": "T of U زائد ال V يساوي T of U زائد T of V لكل ال U و ال V اللي موجودة في ال vector space V Note V above two properties", "tokens": [51, 295, 624, 30767, 16373, 3215, 2423, 691, 7251, 3794, 995, 45865, 314, 295, 624, 30767, 16373, 3215, 314, 295, 691, 5296, 28820, 2423, 624, 4032, 2423, 691, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 8062, 1901, 691, 11633, 691, 3673, 732, 7221], "avg_logprob": -0.24999999470180936, "compression_ratio": 1.28099173553719, "no_speech_prob": 0.0, "words": 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"word": " of", "probability": 0.984375}, {"start": 2514.5, "end": 2514.96, "word": " V", "probability": 0.98876953125}, {"start": 2514.96, "end": 2516.4, "word": " لكل", "probability": 0.953125}, {"start": 2516.4, "end": 2517.34, "word": " ال", "probability": 0.765625}, {"start": 2517.34, "end": 2517.68, "word": " U", "probability": 0.8662109375}, {"start": 2517.68, "end": 2518.28, "word": " و", "probability": 0.69921875}, {"start": 2518.28, "end": 2518.44, "word": " ال", "probability": 0.447265625}, {"start": 2518.44, "end": 2518.9, "word": " V", "probability": 0.986328125}, {"start": 2518.9, "end": 2519.72, "word": " اللي", "probability": 0.765625}, {"start": 2519.72, "end": 2520.3, "word": " موجودة", "probability": 0.9842529296875}, {"start": 2520.3, "end": 2520.42, "word": " في", "probability": 0.9306640625}, {"start": 2520.42, "end": 2520.56, "word": " ال", "probability": 0.91552734375}, {"start": 2520.56, "end": 2520.82, "word": " vector", "probability": 0.80517578125}, {"start": 2520.82, "end": 2521.78, "word": " space", "probability": 0.8447265625}, {"start": 2521.78, "end": 2522.52, "word": " V", "probability": 0.9599609375}, {"start": 2522.52, "end": 2523.78, "word": " Note", "probability": 0.147705078125}, {"start": 2523.78, "end": 2528.08, "word": " V", "probability": 0.47021484375}, {"start": 2528.08, "end": 2529.88, "word": " above", "probability": 0.94287109375}, {"start": 2529.88, "end": 2531.76, "word": " two", "probability": 0.84423828125}, {"start": 2531.76, "end": 2534.02, "word": " properties", "probability": 0.826171875}], "temperature": 1.0}, {"id": 103, "seek": 255946, "start": 2535.91, "end": 2559.47, "text": "the above two properties can be written as one property as follows", "tokens": [3322, 3673, 732, 7221, 393, 312, 3720, 382, 472, 4707, 382, 10002], "avg_logprob": -0.4167668360930223, "compression_ratio": 1.064516129032258, "no_speech_prob": 0.0, "words": [{"start": 2535.91, "end": 2536.17, "word": "the", "probability": 0.076416015625}, {"start": 2536.17, "end": 2536.53, "word": " above", "probability": 0.93408203125}, {"start": 2536.53, "end": 2536.87, "word": " two", "probability": 0.919921875}, {"start": 2536.87, "end": 2537.71, "word": " properties", "probability": 0.869140625}, {"start": 2537.71, "end": 2538.81, "word": " can", "probability": 0.9072265625}, {"start": 2538.81, "end": 2542.05, "word": " be", "probability": 0.96435546875}, {"start": 2542.05, "end": 2543.63, "word": " written", "probability": 0.9169921875}, {"start": 2543.63, "end": 2545.57, "word": " as", "probability": 0.7294921875}, {"start": 2545.57, "end": 2550.81, "word": " one", "probability": 0.48193359375}, {"start": 2550.81, "end": 2552.95, "word": " property", "probability": 0.94775390625}, {"start": 2552.95, "end": 2558.81, "word": " as", "probability": 0.91455078125}, {"start": 2558.81, "end": 2559.47, "word": " follows", "probability": 0.35595703125}], "temperature": 1.0}, {"id": 104, "seek": 259155, "start": 2562.77, "end": 2591.55, "text": "إن الـ T of CU زائد V بده يساوي C في T of U زائد T of V والـ C موجودة في R and الـ U والـ V موجودة في الـ V كابتن example one", "tokens": [28814, 1863, 2423, 39184, 314, 295, 29777, 30767, 16373, 3215, 691, 47525, 3224, 7251, 3794, 995, 45865, 383, 8978, 314, 295, 624, 30767, 16373, 3215, 314, 295, 691, 16070, 39184, 383, 3714, 29245, 23328, 3660, 8978, 497, 293, 2423, 39184, 624, 16070, 39184, 691, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 691, 9122, 16758, 2655, 1863, 1365, 472], "avg_logprob": -0.31673728409460034, "compression_ratio": 1.4758064516129032, "no_speech_prob": 0.0, "words": [{"start": 2562.77, "end": 2563.19, "word": "إن", "probability": 0.531158447265625}, {"start": 2563.19, "end": 2563.51, "word": " الـ", "probability": 0.3575439453125}, {"start": 2563.51, "end": 2563.85, "word": " T", "probability": 0.701171875}, {"start": 2563.85, "end": 2564.87, "word": " of", "probability": 0.7490234375}, {"start": 2564.87, "end": 2566.19, "word": " CU", "probability": 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{"start": 2576.65, "end": 2577.23, "word": " V", "probability": 0.99462890625}, {"start": 2577.23, "end": 2578.37, "word": " والـ", "probability": 0.703857421875}, {"start": 2578.37, "end": 2578.73, "word": " C", "probability": 0.82666015625}, {"start": 2578.73, "end": 2580.11, "word": " موجودة", "probability": 0.9871826171875}, {"start": 2580.11, "end": 2580.45, "word": " في", "probability": 0.98388671875}, {"start": 2580.45, "end": 2580.99, "word": " R", "probability": 0.9521484375}, {"start": 2580.99, "end": 2582.35, "word": " and", "probability": 0.323486328125}, {"start": 2582.35, "end": 2583.83, "word": " الـ", "probability": 0.782958984375}, {"start": 2583.83, "end": 2584.23, "word": " U", "probability": 0.79052734375}, {"start": 2584.23, "end": 2585.01, "word": " والـ", "probability": 0.6331787109375}, {"start": 2585.01, "end": 2585.37, "word": " V", "probability": 0.8466796875}, {"start": 2585.37, "end": 2586.97, "word": " موجودة", "probability": 0.9910888671875}, {"start": 2586.97, "end": 2587.45, "word": " في", "probability": 0.99169921875}, {"start": 2587.45, "end": 2587.99, "word": " الـ", "probability": 0.6708984375}, {"start": 2587.99, "end": 2588.17, "word": " V", "probability": 0.85546875}, {"start": 2588.17, "end": 2588.83, "word": " كابتن", "probability": 0.76519775390625}, {"start": 2588.83, "end": 2590.79, "word": " example", "probability": 0.1778564453125}, {"start": 2590.79, "end": 2591.55, "word": " one", "probability": 0.70556640625}], "temperature": 1.0}, {"id": 105, "seek": 262265, "start": 2596.59, "end": 2622.65, "text": "لت الـ T من الـ M M في N إلى الـ M N في M بـ a mapping بـ a mapping defined by", "tokens": [1211, 2655, 2423, 39184, 314, 9154, 2423, 39184, 376, 376, 8978, 426, 30731, 2423, 39184, 376, 426, 8978, 376, 4724, 39184, 257, 18350, 4724, 39184, 257, 18350, 7642, 538], "avg_logprob": -0.4190104087193807, "compression_ratio": 1.36, "no_speech_prob": 0.0, "words": [{"start": 2596.59, "end": 2597.39, "word": "لت", "probability": 0.3814697265625}, {"start": 2597.39, "end": 2599.33, "word": " الـ", "probability": 0.5159912109375}, {"start": 2599.33, "end": 2599.73, "word": " T", "probability": 0.64111328125}, {"start": 2599.73, "end": 2600.97, "word": " من", "probability": 0.97802734375}, {"start": 2600.97, "end": 2602.15, "word": " الـ", "probability": 0.6470947265625}, {"start": 2602.15, "end": 2602.47, "word": " M", "probability": 0.87353515625}, {"start": 2602.47, "end": 2603.65, "word": " M", "probability": 0.420166015625}, {"start": 2603.65, "end": 2604.07, "word": " في", "probability": 0.82763671875}, {"start": 2604.07, "end": 2604.57, "word": " N", "probability": 0.9287109375}, {"start": 2604.57, "end": 2605.95, "word": " إلى", "probability": 0.85498046875}, {"start": 2605.95, "end": 2607.39, "word": " الـ", "probability": 0.88525390625}, {"start": 2607.39, "end": 2607.87, "word": " M", "probability": 0.95556640625}, {"start": 2607.87, "end": 2609.05, "word": " N", "probability": 0.9228515625}, {"start": 2609.05, "end": 2610.09, "word": " في", "probability": 0.98193359375}, {"start": 2610.09, "end": 2610.83, "word": " M", "probability": 0.98681640625}, {"start": 2610.83, "end": 2613.61, "word": " بـ", "probability": 0.4298095703125}, {"start": 2613.61, "end": 2614.47, "word": " a", "probability": 0.2734375}, {"start": 2614.47, "end": 2615.41, "word": " mapping", "probability": 0.951171875}, {"start": 2615.41, "end": 2619.33, "word": " بـ", "probability": 0.482666015625}, {"start": 2619.33, "end": 2619.57, "word": " a", "probability": 0.96728515625}, {"start": 2619.57, "end": 2620.31, "word": " mapping", "probability": 0.97119140625}, {"start": 2620.31, "end": 2622.15, "word": " defined", "probability": 0.83056640625}, {"start": 2622.15, "end": 2622.65, "word": " by", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 106, "seek": 265541, "start": 2626.27, "end": 2655.41, "text": "معرّفة كالتالي T of A بديو يساوي ال A transpose for all A اللي موجودة في M M N السؤال هو is T a linear transformation؟", "tokens": [2304, 3615, 2288, 11703, 5172, 3660, 9122, 6027, 2655, 6027, 1829, 314, 295, 316, 4724, 16254, 2407, 7251, 3794, 995, 45865, 2423, 316, 25167, 337, 439, 316, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 376, 376, 426, 21136, 33604, 6027, 31439, 307, 314, 257, 8213, 9887, 22807], "avg_logprob": -0.28401692149539787, "compression_ratio": 1.181159420289855, "no_speech_prob": 0.0, "words": [{"start": 2626.27, "end": 2627.27, "word": "معرّفة", "probability": 0.7428385416666666}, {"start": 2627.27, "end": 2628.17, "word": " كالتالي", "probability": 0.9013671875}, {"start": 2628.17, "end": 2629.31, "word": " T", "probability": 0.4111328125}, {"start": 2629.31, "end": 2630.25, "word": " of", "probability": 0.7587890625}, {"start": 2630.25, "end": 2630.85, "word": " A", "probability": 0.8955078125}, {"start": 2630.85, "end": 2631.81, "word": " بديو", "probability": 0.350341796875}, {"start": 2631.81, "end": 2632.23, "word": " يساوي", 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