{"segments": [{"id": 1, "seek": 4896, "start": 21.16, "end": 48.96, "text": "بسم الله الرحمن الرحيم نعود الآن إلى نهاية المحاضرة الماضية المحاضرة الماضية بدأنا بموضوع ال diagonalization وكيف نعمل الهو diagonalize للمصوفة بمعنى خليها مصوفة قطرية ابتدنا بتعريف ال similar matrix فقلنا ان ال similar matrix بإذا جدرت لاجي مصوفة تانية K", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 3615, 23328, 6024, 48506, 30731, 8717, 11296, 10632, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 47525, 10721, 8315, 4724, 2304, 2407, 11242, 45367, 2423, 21539, 2144, 4032, 4117, 33911, 8717, 25957, 1211, 2423, 3224, 2407, 21539, 1125, 5296, 19528, 9381, 38688, 3660, 4724, 2304, 3615, 1863, 7578, 16490, 20292, 11296, 3714, 9381, 38688, 3660, 12174, 9566, 2288, 10632, 48127, 2655, 3215, 8315, 39894, 3615, 16572, 5172, 2423, 2531, 8141, 6156, 4587, 1211, 8315, 16472, 2423, 2531, 8141, 4724, 28814, 15730, 10874, 3215, 43500, 5296, 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0.9488932291666666}, {"start": 106.04, "end": 106.68, "word": " عناصرها", "probability": 0.8519287109375}, {"start": 106.68, "end": 107.32, "word": " أصفرا", "probability": 0.8193359375}, {"start": 107.32, "end": 107.86, "word": " معادة", "probability": 0.4691162109375}, {"start": 107.86, "end": 108.56, "word": " عناصر", "probability": 0.9876302083333334}], "temperature": 1.0}, {"id": 5, "seek": 12624, "start": 109.04, "end": 126.24, "text": "القطر الرئيسي نأخذ النظرية التالية طبعا من اللمدات هذول اللمدة واحد و اللمدة اتنين و اللمدة ان هي ال eigen values مش حياله مش اي ارقام يبقى ارقام محددة", "tokens": [6027, 47432, 2288, 34892, 19986, 1829, 3794, 1829, 8717, 10721, 9778, 8848, 28239, 19913, 2288, 10632, 16712, 6027, 10632, 23032, 3555, 3615, 995, 9154, 13672, 2304, 3215, 9307, 8032, 8848, 12610, 13672, 2304, 41891, 36764, 24401, 4032, 13672, 2304, 41891, 1975, 2655, 1863, 9957, 4032, 13672, 2304, 41891, 16472, 39896, 2423, 10446, 4190, 37893, 11331, 1829, 6027, 3224, 37893, 1975, 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اللمدة", "probability": 0.5804850260416666}, {"start": 117.8, "end": 118.1, "word": " واحد", "probability": 0.896484375}, {"start": 118.1, "end": 118.18, "word": " و", "probability": 0.5126953125}, {"start": 118.18, "end": 118.46, "word": " اللمدة", "probability": 0.762451171875}, {"start": 118.46, "end": 118.7, "word": " اتنين", "probability": 0.774169921875}, {"start": 118.7, "end": 118.78, "word": " و", "probability": 0.7255859375}, {"start": 118.78, "end": 119.14, "word": " اللمدة", "probability": 0.9666341145833334}, {"start": 119.14, "end": 119.32, "word": " ان", "probability": 0.8310546875}, {"start": 119.32, "end": 119.66, "word": " هي", "probability": 0.31103515625}, {"start": 119.66, "end": 119.9, "word": " ال", "probability": 0.810546875}, {"start": 119.9, "end": 120.4, "word": " eigen", "probability": 0.2288818359375}, {"start": 120.4, "end": 121.62, "word": " values", "probability": 0.498291015625}, {"start": 121.62, "end": 122.54, "word": " مش", "probability": 0.76220703125}, {"start": 122.54, "end": 123.04, "word": " حياله", "probability": 0.729248046875}, {"start": 123.04, "end": 123.22, "word": " مش", "probability": 0.9365234375}, {"start": 123.22, "end": 123.46, "word": " اي", "probability": 0.8125}, {"start": 123.46, "end": 124.0, "word": " ارقام", "probability": 0.9010009765625}, {"start": 124.0, "end": 124.64, "word": " يبقى", "probability": 0.9652099609375}, {"start": 124.64, "end": 125.32, "word": " ارقام", "probability": 0.9361572265625}, {"start": 125.32, "end": 126.24, "word": " محددة", "probability": 0.9933268229166666}], "temperature": 1.0}, {"id": 6, "seek": 14702, "start": 126.9, "end": 147.02, "text": "طيب النظرية بتقول إيه؟ the n by n matrix A is similar to a diagonal matrix ملاحظي المرة اللي فاتت بدينا canvas A K طلت عني مصروفة قطرية في الآخر، مصبوط ولا لأ؟ المصروف القطرية العمودي الفقري قيمة ال two landers اللي طلوا عندي بالضبط", "tokens": [9566, 1829, 3555, 28239, 19913, 2288, 10632, 39894, 39648, 11933, 1829, 3224, 22807, 264, 297, 538, 297, 8141, 316, 307, 2531, 281, 257, 21539, 8141, 3714, 15040, 5016, 19913, 1829, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 47525, 1829, 8315, 16267, 316, 591, 23032, 1211, 2655, 18871, 1829, 3714, 9381, 32887, 5172, 3660, 12174, 9566, 2288, 10632, 8978, 6024, 95, 34740, 12399, 3714, 9381, 3555, 2407, 9566, 49429, 5296, 10721, 22807, 9673, 9381, 32887, 5172, 25062, 9566, 2288, 10632, 18863, 2304, 2407, 16254, 27188, 4587, 16572, 12174, 32640, 3660, 2423, 732, 2117, 433, 13672, 1829, 23032, 1211, 14407, 18871, 16254, 20666, 11242, 3555, 9566], "avg_logprob": -0.29404761904761906, "compression_ratio": 1.5338983050847457, "no_speech_prob": 0.0, "words": [{"start": 126.9, "end": 127.44, "word": "طيب", "probability": 0.6787516276041666}, {"start": 127.44, "end": 127.92, "word": " النظرية", "probability": 0.9287109375}, {"start": 127.92, "end": 128.3, "word": " بتقول", "probability": 0.966796875}, {"start": 128.3, "end": 128.6, "word": " إيه؟", "probability": 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"word": " ملاحظي", "probability": 0.67105712890625}, {"start": 134.78, "end": 135.12, "word": " المرة", "probability": 0.93115234375}, {"start": 135.12, "end": 135.34, "word": " اللي", "probability": 0.824951171875}, {"start": 135.34, "end": 135.84, "word": " فاتت", "probability": 0.96875}, {"start": 135.84, "end": 136.42, "word": " بدينا", "probability": 0.7450358072916666}, {"start": 136.42, "end": 137.34, "word": " canvas", "probability": 0.2822265625}, {"start": 137.34, "end": 137.98, "word": " A", "probability": 0.55322265625}, {"start": 137.98, "end": 138.5, "word": " K", "probability": 0.291015625}, {"start": 138.5, "end": 138.9, "word": " طلت", "probability": 0.8121744791666666}, {"start": 138.9, "end": 139.18, "word": " عني", "probability": 0.9169921875}, {"start": 139.18, "end": 139.64, "word": " مصروفة", "probability": 0.7765625}, {"start": 139.64, "end": 140.1, "word": " قطرية", "probability": 0.9456787109375}, {"start": 140.1, "end": 140.22, "word": " في", "probability": 0.9091796875}, {"start": 140.22, "end": 140.74, "word": " الآخر،", "probability": 0.837646484375}, {"start": 140.74, "end": 141.06, "word": " مصبوط", "probability": 0.828125}, {"start": 141.06, "end": 141.2, "word": " ولا", "probability": 0.9072265625}, {"start": 141.2, "end": 141.82, "word": " لأ؟", "probability": 0.6883138020833334}, {"start": 141.82, "end": 142.28, "word": " المصروف", "probability": 0.9534912109375}, {"start": 142.28, "end": 142.74, "word": " القطرية", "probability": 0.8704833984375}, {"start": 142.74, "end": 143.16, "word": " العمودي", "probability": 0.7193603515625}, {"start": 143.16, "end": 143.78, "word": " الفقري", "probability": 0.9353841145833334}, {"start": 143.78, "end": 144.54, "word": " قيمة", "probability": 0.8356119791666666}, {"start": 144.54, "end": 144.72, "word": " ال", "probability": 0.9033203125}, {"start": 144.72, "end": 144.92, "word": " two", "probability": 0.67236328125}, {"start": 144.92, "end": 145.54, "word": " landers", "probability": 0.7069091796875}, {"start": 145.54, "end": 145.76, "word": " اللي", "probability": 0.984130859375}, {"start": 145.76, "end": 146.06, "word": " طلوا", "probability": 0.974609375}, {"start": 146.06, "end": 146.42, "word": " عندي", "probability": 0.7939453125}, {"start": 146.42, "end": 147.02, "word": " بالضبط", "probability": 0.905517578125}], "temperature": 1.0}, {"id": 7, "seek": 17561, "start": 147.23, "end": 175.61, "text": "يبقى هنا لما أقول الـ A is similar to a diagonal matrix if and only if it has a set of linearly independent eigenvectors K1 وK2 لغاية KM الكلام هذا بدي أعيد صياغته مرة تانية باجي بقول that is لو كان عند المصوفة K هذه مصوفة K K1 هو العمود الأول K2 العمود التالت KN العمود رقم M", "tokens": [1829, 3555, 4587, 7578, 34105, 5296, 15042, 5551, 39648, 2423, 39184, 316, 307, 2531, 281, 257, 21539, 8141, 498, 293, 787, 498, 309, 575, 257, 992, 295, 43586, 6695, 10446, 303, 5547, 591, 16, 4032, 42, 17, 5296, 17082, 995, 10632, 591, 44, 2423, 28820, 10943, 23758, 4724, 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"end": 153.69, "word": " set", "probability": 0.96875}, {"start": 153.69, "end": 153.91, "word": " of", "probability": 0.974609375}, {"start": 153.91, "end": 154.29, "word": " linearly", "probability": 0.94482421875}, {"start": 154.29, "end": 155.05, "word": " independent", "probability": 0.9228515625}, {"start": 155.05, "end": 156.35, "word": " eigenvectors", "probability": 0.8240559895833334}, {"start": 156.35, "end": 156.87, "word": " K1", "probability": 0.6943359375}, {"start": 156.87, "end": 157.63, "word": " وK2", "probability": 0.8359375}, {"start": 157.63, "end": 158.73, "word": " لغاية", "probability": 0.9683837890625}, {"start": 158.73, "end": 159.61, "word": " KM", "probability": 0.70458984375}, {"start": 159.61, "end": 160.71, "word": " الكلام", "probability": 0.8523763020833334}, {"start": 160.71, "end": 160.99, "word": " هذا", "probability": 0.8271484375}, {"start": 160.99, "end": 161.35, "word": " بدي", "probability": 0.70947265625}, {"start": 161.35, "end": 161.95, "word": " أعيد", "probability": 0.9581705729166666}, {"start": 161.95, "end": 162.75, "word": " صياغته", "probability": 0.929296875}, {"start": 162.75, "end": 163.25, "word": " مرة", "probability": 0.9775390625}, {"start": 163.25, "end": 163.75, "word": " تانية", "probability": 0.9410807291666666}, {"start": 163.75, "end": 164.69, "word": " باجي", "probability": 0.7957356770833334}, {"start": 164.69, "end": 165.25, "word": " بقول", "probability": 0.9482421875}, {"start": 165.25, "end": 165.75, "word": " that", "probability": 0.783203125}, {"start": 165.75, "end": 165.97, "word": " is", "probability": 0.9111328125}, {"start": 165.97, "end": 166.27, "word": " لو", "probability": 0.93896484375}, {"start": 166.27, "end": 166.61, "word": " كان", "probability": 0.9892578125}, {"start": 166.61, "end": 166.85, "word": " عند", "probability": 0.89208984375}, {"start": 166.85, "end": 168.01, "word": " المصوفة", "probability": 0.75567626953125}, {"start": 168.01, "end": 168.35, "word": " K", "probability": 0.93359375}, {"start": 168.35, "end": 168.75, "word": " هذه", "probability": 0.52392578125}, {"start": 168.75, "end": 169.41, "word": " مصوفة", "probability": 0.93017578125}, {"start": 169.41, "end": 169.65, "word": " K", "probability": 0.87158203125}, {"start": 169.65, "end": 170.71, "word": " K1", "probability": 0.57275390625}, {"start": 170.71, "end": 170.91, "word": " هو", "probability": 0.9755859375}, {"start": 170.91, "end": 171.31, "word": " العمود", "probability": 0.95068359375}, {"start": 171.31, "end": 171.77, "word": " الأول", "probability": 0.966796875}, {"start": 171.77, "end": 172.29, "word": " K2", "probability": 0.869873046875}, {"start": 172.29, "end": 172.79, "word": " العمود", "probability": 0.9513346354166666}, {"start": 172.79, "end": 173.27, "word": " التالت", "probability": 0.8688151041666666}, {"start": 173.27, "end": 173.67, "word": " KN", "probability": 0.65478515625}, {"start": 173.67, "end": 174.55, "word": " العمود", "probability": 0.9542643229166666}, {"start": 174.55, "end": 175.27, "word": " رقم", "probability": 0.9814453125}, {"start": 175.27, "end": 175.61, "word": " M", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 8, "seek": 20254, "start": 176.02, "end": 202.54, "text": "وكل eigen vector هذا مناظر لمن؟ مناظر لل eigen value اللي هي لاندا واحد والتاني لاندا اتنين والتالتة لاندا تلاتة والاخر لاندا in them ال K inverse A في ال K بده يساوي المصوفة اللي عندها دي يعني بده يساوي المصوفة لجميع عناصرها أصفرا ما عدا عناصر قطة الرئيسي بيكونوا على أسرها هو من؟", "tokens": [2407, 28820, 10446, 8062, 23758, 9154, 5718, 116, 2288, 5296, 27842, 22807, 9154, 5718, 116, 2288, 24976, 10446, 2158, 13672, 1829, 39896, 5296, 7649, 28259, 36764, 24401, 4032, 6027, 2655, 7649, 1829, 5296, 7649, 28259, 1975, 2655, 1863, 9957, 4032, 6027, 2655, 6027, 2655, 3660, 5296, 7649, 28259, 6055, 1211, 9307, 3660, 4032, 6027, 47283, 2288, 5296, 7649, 28259, 294, 552, 2423, 591, 17340, 316, 8978, 2423, 591, 47525, 3224, 7251, 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"word": " عناصرها", "probability": 0.8677978515625}, {"start": 197.3, "end": 198.2, "word": " أصفرا", "probability": 0.75860595703125}, {"start": 198.2, "end": 198.88, "word": " ما", "probability": 0.51513671875}, {"start": 198.88, "end": 199.26, "word": " عدا", "probability": 0.71240234375}, {"start": 199.26, "end": 199.82, "word": " عناصر", "probability": 0.9918619791666666}, {"start": 199.82, "end": 200.18, "word": " قطة", "probability": 0.861328125}, {"start": 200.18, "end": 200.76, "word": " الرئيسي", "probability": 0.811083984375}, {"start": 200.76, "end": 201.22, "word": " بيكونوا", "probability": 0.9351806640625}, {"start": 201.22, "end": 201.38, "word": " على", "probability": 0.8447265625}, {"start": 201.38, "end": 201.82, "word": " أسرها", "probability": 0.75250244140625}, {"start": 201.82, "end": 202.02, "word": " هو", "probability": 0.97412109375}, {"start": 202.02, "end": 202.54, "word": " من؟", "probability": 0.837158203125}], "temperature": 1.0}, {"id": 9, "seek": 22361, "start": 204.37, "end": 223.61, "text": "هذه النظرية بتحكي بالكارشاكل انها ده يبقى لو اعطاني مصفوفة ايه بدي اجيب ال diagonal matrix بتاعها بحيث العناصر تبع ال diagonal matrix يكونوا هم ال eigen values يبقى بدي احاول اجيب", "tokens": [3224, 24192, 28239, 19913, 2288, 10632, 39894, 5016, 4117, 1829, 20666, 4117, 9640, 8592, 995, 4117, 1211, 16472, 11296, 11778, 3224, 7251, 3555, 4587, 7578, 45164, 1975, 3615, 9566, 7649, 1829, 3714, 9381, 5172, 38688, 3660, 1975, 1829, 3224, 4724, 16254, 1975, 7435, 1829, 3555, 2423, 21539, 8141, 39894, 45761, 11296, 4724, 5016, 1829, 12984, 18863, 1863, 33546, 2288, 6055, 3555, 3615, 2423, 21539, 8141, 7251, 30544, 14407, 8032, 2304, 2423, 10446, 4190, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 5016, 995, 12610, 1975, 7435, 1829, 3555], "avg_logprob": -0.27254972369833425, "compression_ratio": 1.591160220994475, "no_speech_prob": 0.0, "words": [{"start": 204.36999999999998, "end": 205.45, "word": "هذه", "probability": 0.46807861328125}, {"start": 205.45, "end": 205.99, "word": " النظرية", "probability": 0.8155517578125}, {"start": 205.99, "end": 206.45, "word": " بتحكي", "probability": 0.667816162109375}, {"start": 206.45, "end": 207.11, "word": " بالكارشاكل", "probability": 0.5294886997767857}, {"start": 207.11, "end": 207.47, "word": " انها", "probability": 0.4200439453125}, {"start": 207.47, "end": 207.81, "word": " ده", "probability": 0.7509765625}, {"start": 207.81, "end": 208.27, "word": " يبقى", "probability": 0.7744140625}, {"start": 208.27, "end": 208.47, "word": " لو", "probability": 0.97216796875}, {"start": 208.47, "end": 209.09, "word": " اعطاني", "probability": 0.824169921875}, {"start": 209.09, "end": 210.27, "word": " مصفوفة", "probability": 0.85048828125}, {"start": 210.27, "end": 210.81, "word": " ايه", "probability": 0.9363606770833334}, {"start": 210.81, "end": 211.53, "word": " بدي", "probability": 0.59912109375}, {"start": 211.53, "end": 211.93, "word": " اجيب", "probability": 0.957763671875}, {"start": 211.93, "end": 212.05, "word": " ال", "probability": 0.92138671875}, {"start": 212.05, "end": 212.65, "word": " diagonal", "probability": 0.435546875}, {"start": 212.65, "end": 213.45, "word": " matrix", "probability": 0.91259765625}, {"start": 213.45, "end": 214.13, "word": " بتاعها", "probability": 0.9674479166666666}, {"start": 214.13, "end": 215.01, "word": " بحيث", "probability": 0.970703125}, {"start": 215.01, "end": 216.27, "word": " العناصر", "probability": 0.953369140625}, {"start": 216.27, "end": 216.71, "word": " تبع", "probability": 0.9034830729166666}, {"start": 216.71, "end": 216.99, "word": " ال", "probability": 0.98486328125}, {"start": 216.99, "end": 217.53, "word": " diagonal", "probability": 0.8837890625}, {"start": 217.53, "end": 218.57, "word": " matrix", "probability": 0.970703125}, {"start": 218.57, "end": 219.23, "word": " يكونوا", "probability": 0.7987467447916666}, {"start": 219.23, "end": 219.57, "word": " هم", "probability": 0.882568359375}, {"start": 219.57, "end": 219.75, "word": " ال", "probability": 0.962890625}, {"start": 219.75, "end": 220.09, "word": " eigen", "probability": 0.60693359375}, {"start": 220.09, "end": 220.69, "word": " values", "probability": 0.5263671875}, {"start": 220.69, "end": 222.53, "word": " يبقى", "probability": 0.9287109375}, {"start": 222.53, "end": 222.75, "word": " بدي", "probability": 0.8046875}, {"start": 222.75, "end": 223.13, "word": " احاول", "probability": 0.96337890625}, {"start": 223.13, "end": 223.61, "word": " اجيب", "probability": 0.9586181640625}], "temperature": 1.0}, {"id": 10, "seek": 24222, "start": 224.82, "end": 242.22, "text": "الـEigenvectors اللي عندنا والـEigenvectors بس بيشرّنوا كلهم linearly independent لأنه جالي linearly independent ولو واحد يعتمد على التاني كلهم مستقلات عن بعض تمام الاستقلال يبقى بحص العالمين على ال diagonal matrix", "tokens": [6027, 39184, 36, 3213, 303, 5547, 13672, 1829, 43242, 8315, 16070, 39184, 36, 3213, 303, 5547, 4724, 3794, 4724, 1829, 46309, 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"probability": 0.8115234375}, {"start": 228.98, "end": 229.58, "word": " كلهم", "probability": 0.829833984375}, {"start": 229.58, "end": 230.26, "word": " linearly", "probability": 0.59375}, {"start": 230.26, "end": 231.46, "word": " independent", "probability": 0.9521484375}, {"start": 231.46, "end": 231.98, "word": " لأنه", "probability": 0.7425130208333334}, {"start": 231.98, "end": 232.28, "word": " جالي", "probability": 0.611328125}, {"start": 232.28, "end": 232.82, "word": " linearly", "probability": 0.880859375}, {"start": 232.82, "end": 233.76, "word": " independent", "probability": 0.96923828125}, {"start": 233.76, "end": 234.26, "word": " ولو", "probability": 0.7042643229166666}, {"start": 234.26, "end": 234.82, "word": " واحد", "probability": 0.83251953125}, {"start": 234.82, "end": 235.96, "word": " يعتمد", "probability": 0.97412109375}, {"start": 235.96, "end": 236.18, "word": " على", "probability": 0.9208984375}, {"start": 236.18, "end": 236.56, "word": " التاني", "probability": 0.8995768229166666}, {"start": 236.56, "end": 236.94, "word": " كلهم", "probability": 0.78955078125}, {"start": 236.94, "end": 237.58, "word": " مستقلات", "probability": 0.89951171875}, {"start": 237.58, "end": 237.74, "word": " عن", "probability": 0.97802734375}, {"start": 237.74, "end": 238.06, "word": " بعض", "probability": 0.991943359375}, {"start": 238.06, "end": 238.42, "word": " تمام", "probability": 0.975341796875}, {"start": 238.42, "end": 239.2, "word": " الاستقلال", "probability": 0.95869140625}, {"start": 239.2, "end": 239.92, "word": " يبقى", "probability": 0.9298095703125}, {"start": 239.92, "end": 240.26, "word": " بحص", "probability": 0.6951497395833334}, {"start": 240.26, "end": 240.8, "word": " العالمين", "probability": 0.984375}, {"start": 240.8, "end": 241.02, "word": " على", "probability": 0.91015625}, {"start": 241.02, "end": 241.12, "word": " ال", "probability": 0.8701171875}, {"start": 241.12, "end": 241.52, "word": " diagonal", "probability": 0.658203125}, {"start": 241.52, "end": 242.22, "word": " matrix", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 11, "seek": 26012, "start": 243.84, "end": 260.12, "text": "الان بدأجي للعنوان اللي انا رافعه المرة اللي فاتت كنا بنتكلم عن ال similar matrix فقط و لم نتكلم عن ال diagonalization تمام؟ هذا الكلام اللي احنا بنحكي هو ال diagonalization و احنا مش ذارين طلع التريفش بقول", "tokens": [6027, 7649, 4724, 3215, 10721, 7435, 1829, 24976, 3615, 1863, 2407, 7649, 13672, 1829, 1975, 8315, 12602, 31845, 3615, 3224, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 9122, 8315, 4724, 29399, 4117, 19528, 18871, 2423, 2531, 8141, 6156, 47432, 4032, 32767, 8717, 2655, 4117, 19528, 18871, 2423, 21539, 2144, 46811, 10943, 22807, 23758, 2423, 28820, 10943, 13672, 1829, 1975, 5016, 8315, 44945, 5016, 4117, 1829, 31439, 2423, 21539, 2144, 4032, 1975, 5016, 8315, 37893, 29910, 9640, 9957, 23032, 1211, 3615, 16712, 16572, 5172, 8592, 4724, 39648], "avg_logprob": -0.23204022269139343, "compression_ratio": 1.7291666666666667, "no_speech_prob": 0.0, "words": [{"start": 243.84, "end": 244.4, "word": "الان", "probability": 0.799560546875}, {"start": 244.4, "end": 244.96, "word": " بدأجي", "probability": 0.44482421875}, {"start": 244.96, "end": 245.62, "word": " للعنوان", "probability": 0.89541015625}, {"start": 245.62, "end": 245.9, "word": " اللي", "probability": 0.724853515625}, {"start": 245.9, "end": 246.16, "word": " انا", "probability": 0.670166015625}, {"start": 246.16, "end": 246.66, "word": " رافعه", "probability": 0.9007568359375}, {"start": 246.66, "end": 246.98, "word": " المرة", "probability": 0.865478515625}, {"start": 246.98, "end": 247.18, "word": " اللي", "probability": 0.864501953125}, {"start": 247.18, "end": 247.76, "word": " فاتت", "probability": 0.9851888020833334}, {"start": 247.76, "end": 248.18, "word": " كنا", "probability": 0.77978515625}, {"start": 248.18, "end": 248.62, "word": " بنتكلم", "probability": 0.830810546875}, {"start": 248.62, "end": 248.84, "word": " عن", "probability": 0.98876953125}, {"start": 248.84, "end": 248.94, "word": " ال", "probability": 0.77978515625}, {"start": 248.94, "end": 249.24, "word": " similar", "probability": 0.66845703125}, {"start": 249.24, "end": 249.74, "word": " matrix", "probability": 0.859375}, {"start": 249.74, "end": 250.1, "word": " فقط", "probability": 0.97021484375}, {"start": 250.1, "end": 250.34, "word": " و", "probability": 0.9130859375}, {"start": 250.34, "end": 250.56, "word": " لم", "probability": 0.47900390625}, {"start": 250.56, "end": 251.5, "word": " نتكلم", "probability": 0.984375}, {"start": 251.5, "end": 251.78, "word": " عن", "probability": 0.98779296875}, {"start": 251.78, "end": 251.9, "word": " ال", "probability": 0.943359375}, {"start": 251.9, "end": 253.12, "word": " diagonalization", "probability": 0.89013671875}, {"start": 253.12, "end": 254.34, "word": " تمام؟", "probability": 0.6686197916666666}, {"start": 254.34, "end": 254.58, "word": " هذا", "probability": 0.87939453125}, {"start": 254.58, "end": 255.06, "word": " الكلام", "probability": 0.9601236979166666}, {"start": 255.06, "end": 255.24, "word": " اللي", "probability": 0.9814453125}, {"start": 255.24, "end": 255.46, "word": " احنا", "probability": 0.943359375}, {"start": 255.46, "end": 255.98, "word": " بنحكي", "probability": 0.893798828125}, {"start": 255.98, "end": 256.18, "word": " هو", "probability": 0.94287109375}, {"start": 256.18, "end": 256.32, "word": " ال", "probability": 0.87939453125}, {"start": 256.32, "end": 257.26, "word": " diagonalization", "probability": 0.926025390625}, {"start": 257.26, "end": 257.4, "word": " و", "probability": 0.8359375}, {"start": 257.4, "end": 257.54, "word": " احنا", "probability": 0.9280598958333334}, {"start": 257.54, "end": 257.74, "word": " مش", "probability": 0.984375}, {"start": 257.74, "end": 258.26, "word": " ذارين", "probability": 0.7970377604166666}, {"start": 258.26, "end": 259.14, "word": " طلع", "probability": 0.7356770833333334}, {"start": 259.14, "end": 259.76, "word": " التريفش", "probability": 0.65576171875}, {"start": 259.76, "end": 260.12, "word": " بقول", "probability": 0.6396484375}], "temperature": 1.0}, {"id": 12, "seek": 27595, "start": 264.3, "end": 275.96, "text": "التعريف اللي جابله if a is a similar to a diagonal matrix يعني هالكلام هذا صحيح then a is said to be diagonalizable", "tokens": [6027, 2655, 3615, 16572, 5172, 13672, 1829, 10874, 16758, 43761, 498, 257, 307, 257, 2531, 281, 257, 21539, 8141, 37495, 22653, 8032, 6027, 28820, 10943, 23758, 20328, 5016, 1829, 5016, 550, 257, 307, 848, 281, 312, 21539, 22395], "avg_logprob": -0.23878205510286185, "compression_ratio": 1.1825396825396826, "no_speech_prob": 0.0, "words": [{"start": 264.3, "end": 265.1, "word": "التعريف", "probability": 0.7517578125}, {"start": 265.1, "end": 265.22, "word": " اللي", "probability": 0.857421875}, {"start": 265.22, "end": 265.52, "word": " جابله", "probability": 0.84765625}, {"start": 265.52, "end": 265.74, "word": " if", "probability": 0.57763671875}, {"start": 265.74, "end": 266.1, "word": " a", "probability": 0.456298828125}, {"start": 266.1, "end": 266.4, "word": " is", "probability": 0.85205078125}, {"start": 266.4, "end": 266.66, "word": " a", "probability": 0.8583984375}, {"start": 266.66, "end": 267.2, "word": " similar", "probability": 0.443359375}, {"start": 267.2, "end": 267.98, "word": " to", "probability": 0.9716796875}, {"start": 267.98, "end": 268.26, "word": " a", "probability": 0.9658203125}, {"start": 268.26, "end": 268.98, "word": " diagonal", "probability": 0.8828125}, {"start": 268.98, "end": 270.04, "word": " matrix", "probability": 0.96875}, {"start": 270.04, "end": 270.64, "word": " يعني", "probability": 0.881103515625}, {"start": 270.64, "end": 271.36, "word": " هالكلام", "probability": 0.8399658203125}, {"start": 271.36, "end": 271.76, "word": " هذا", "probability": 0.8525390625}, {"start": 271.76, "end": 272.9, "word": " صحيح", "probability": 0.9180908203125}, {"start": 272.9, "end": 273.3, "word": " then", "probability": 0.74169921875}, {"start": 273.3, "end": 273.82, "word": " a", "probability": 0.51025390625}, {"start": 273.82, "end": 274.24, "word": " is", "probability": 0.93798828125}, {"start": 274.24, "end": 274.52, "word": " said", "probability": 0.8681640625}, {"start": 274.52, "end": 274.7, "word": " to", "probability": 0.974609375}, {"start": 274.7, "end": 274.88, "word": " be", "probability": 0.94140625}, {"start": 274.88, "end": 275.96, "word": " diagonalizable", "probability": 0.890380859375}], "temperature": 1.0}, {"id": 13, "seek": 29139, "start": 276.27, "end": 291.39, "text": "يبقى المصوفة ايه بنقدر نعملها على شكل مصوفة قطرية يبقى لو كانت المصوفة similar to a diagonal matrix automatic بقول ان ال a دي diagonalizable", "tokens": [1829, 3555, 4587, 7578, 9673, 9381, 38688, 3660, 1975, 1829, 3224, 44945, 28543, 2288, 8717, 25957, 1211, 11296, 15844, 13412, 28820, 3714, 9381, 38688, 3660, 12174, 9566, 2288, 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"probability": 0.9415283203125}, {"start": 282.83, "end": 283.63, "word": " يبقى", "probability": 0.86187744140625}, {"start": 283.63, "end": 283.83, "word": " لو", "probability": 0.9404296875}, {"start": 283.83, "end": 284.33, "word": " كانت", "probability": 0.963623046875}, {"start": 284.33, "end": 285.07, "word": " المصوفة", "probability": 0.98193359375}, {"start": 285.07, "end": 286.03, "word": " similar", "probability": 0.810546875}, {"start": 286.03, "end": 286.49, "word": " to", "probability": 0.96826171875}, {"start": 286.49, "end": 286.77, "word": " a", "probability": 0.57568359375}, {"start": 286.77, "end": 287.33, "word": " diagonal", "probability": 0.91650390625}, {"start": 287.33, "end": 288.01, "word": " matrix", "probability": 0.97314453125}, {"start": 288.01, "end": 288.75, "word": " automatic", "probability": 0.391357421875}, {"start": 288.75, "end": 289.45, "word": " بقول", "probability": 0.96044921875}, {"start": 289.45, "end": 289.69, "word": " ان", "probability": 0.68701171875}, {"start": 289.69, "end": 289.85, "word": " ال", "probability": 0.884765625}, {"start": 289.85, "end": 290.03, "word": " a", "probability": 0.52294921875}, {"start": 290.03, "end": 290.33, "word": " دي", "probability": 0.784423828125}, {"start": 290.33, "end": 291.39, "word": " diagonalizable", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 14, "seek": 31016, "start": 292.02, "end": 310.16, "text": "طيب التعريف التاني بيقول لو كانت ال a diagonalizable matrix then it processes يتفترض in linearly independent eigenvectors يبقى ال eigenvectors اللي عندنا عددهم يساوي in بدهم يكونوا linearly independent", "tokens": [9566, 1829, 3555, 16712, 3615, 16572, 5172, 16712, 7649, 1829, 4724, 1829, 39648, 45164, 25961, 2655, 2423, 257, 21539, 22395, 8141, 550, 309, 7555, 7251, 2655, 5172, 2655, 43042, 294, 43586, 6695, 10446, 303, 5547, 7251, 3555, 4587, 7578, 2423, 10446, 303, 5547, 13672, 1829, 43242, 8315, 6225, 3215, 3215, 16095, 7251, 3794, 995, 45865, 294, 47525, 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297.62, "word": " then", "probability": 0.47119140625}, {"start": 297.62, "end": 298.06, "word": " it", "probability": 0.96142578125}, {"start": 298.06, "end": 298.9, "word": " processes", "probability": 0.2288818359375}, {"start": 298.9, "end": 300.6, "word": " يتفترض", "probability": 0.7221435546875}, {"start": 300.6, "end": 301.42, "word": " in", "probability": 0.75390625}, {"start": 301.42, "end": 302.2, "word": " linearly", "probability": 0.90966796875}, {"start": 302.2, "end": 303.2, "word": " independent", "probability": 0.939453125}, {"start": 303.2, "end": 304.26, "word": " eigenvectors", "probability": 0.7644856770833334}, {"start": 304.26, "end": 305.02, "word": " يبقى", "probability": 0.937255859375}, {"start": 305.02, "end": 305.1, "word": " ال", "probability": 0.87939453125}, {"start": 305.1, "end": 305.84, "word": " eigenvectors", "probability": 0.90625}, {"start": 305.84, "end": 306.1, "word": " اللي", "probability": 0.962646484375}, {"start": 306.1, "end": 306.34, 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0.76611328125}, {"start": 322.78, "end": 322.96, "word": " أي", "probability": 0.623046875}, {"start": 322.96, "end": 323.4, "word": " حال", "probability": 0.997802734375}, {"start": 323.4, "end": 324.04, "word": " التعريف", "probability": 0.964111328125}, {"start": 324.04, "end": 324.8, "word": " الأولاني", "probability": 0.9658203125}, {"start": 324.8, "end": 325.54, "word": " دقيق", "probability": 0.9918619791666666}, {"start": 325.54, "end": 326.06, "word": " جدا", "probability": 0.9892578125}, {"start": 326.06, "end": 326.84, "word": " لأنه", "probability": 0.8273111979166666}, {"start": 326.84, "end": 327.54, "word": " هيقولك", "probability": 0.8614908854166666}, {"start": 327.54, "end": 327.98, "word": " كيف", "probability": 0.98046875}, {"start": 327.98, "end": 328.26, "word": " بدك", "probability": 0.6549072265625}, {"start": 328.26, "end": 328.7, "word": " تخلي", "probability": 0.8015950520833334}, {"start": 328.7, "end": 329.38, "word": " المصوفة", "probability": 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0.97119140625}, {"start": 342.5, "end": 343.38, "word": " diagonalize", "probability": 0.77978515625}, {"start": 343.38, "end": 343.64, "word": " an", "probability": 0.63623046875}, {"start": 343.64, "end": 343.86, "word": " n", "probability": 0.74658203125}, {"start": 343.86, "end": 344.08, "word": " by", "probability": 0.61083984375}, {"start": 344.08, "end": 344.34, "word": " n", "probability": 0.9833984375}, {"start": 344.34, "end": 344.82, "word": " matrix", "probability": 0.94775390625}, {"start": 344.82, "end": 345.12, "word": " انا", "probability": 0.823974609375}, {"start": 345.12, "end": 345.46, "word": " بعطيك", "probability": 0.91962890625}, {"start": 345.46, "end": 346.12, "word": " مصفوفة", "probability": 0.830419921875}, {"start": 346.12, "end": 346.96, "word": " لما", "probability": 0.7724609375}, {"start": 346.96, "end": 347.28, "word": " اعطيك", "probability": 0.870263671875}, {"start": 347.28, "end": 347.72, "word": " مصفوفة", "probability": 0.97080078125}, {"start": 347.72, "end": 348.18, "word": " كيف", "probability": 0.9541015625}, {"start": 348.18, "end": 349.18, "word": " المصفوفة", "probability": 0.96552734375}, {"start": 349.18, "end": 349.64, "word": " دي", "probability": 0.857177734375}], "temperature": 1.0}, {"id": 17, "seek": 36436, "start": 350.04, "end": 364.36, "text": "بتكتب عليها على شكل قطري فقط وبحيث عناصر القطر الرئيسي هما الـEigenvalues فقط لا غير بقول لها بدي أمشي تلت خطوات اللي عندنا خطوة الأولى", "tokens": [3555, 2655, 4117, 2655, 3555, 25894, 11296, 15844, 13412, 28820, 12174, 9566, 16572, 6156, 47432, 46599, 5016, 1829, 12984, 18871, 33546, 2288, 25062, 9566, 2288, 34892, 19986, 1829, 3794, 1829, 8032, 15042, 2423, 39184, 36, 3213, 46033, 6156, 47432, 20193, 32771, 13546, 4724, 39648, 5296, 11296, 4724, 16254, 5551, 2304, 8592, 1829, 6055, 1211, 2655, 16490, 9566, 2407, 9307, 13672, 1829, 43242, 8315, 16490, 9566, 2407, 3660, 16247, 12610, 7578], "avg_logprob": -0.34022887407893865, "compression_ratio": 1.4779874213836477, 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"probability": 0.63427734375}, {"start": 359.16, "end": 359.98, "word": " فقط", "probability": 0.906982421875}, {"start": 359.98, "end": 360.14, "word": " لا", "probability": 0.50146484375}, {"start": 360.14, "end": 360.48, "word": " غير", "probability": 0.986328125}, {"start": 360.48, "end": 361.2, "word": " بقول", "probability": 0.6109619140625}, {"start": 361.2, "end": 361.46, "word": " لها", "probability": 0.53564453125}, {"start": 361.46, "end": 361.7, "word": " بدي", "probability": 0.4378662109375}, {"start": 361.7, "end": 362.02, "word": " أمشي", "probability": 0.81854248046875}, {"start": 362.02, "end": 362.34, "word": " تلت", "probability": 0.643798828125}, {"start": 362.34, "end": 362.9, "word": " خطوات", "probability": 0.9791259765625}, {"start": 362.9, "end": 363.14, "word": " اللي", "probability": 0.896728515625}, {"start": 363.14, "end": 363.52, "word": " عندنا", "probability": 0.726318359375}, {"start": 363.52, "end": 363.98, "word": " خطوة", "probability": 0.8621826171875}, {"start": 363.98, "end": 364.36, "word": " الأولى", "probability": 0.9181315104166666}], "temperature": 1.0}, {"id": 18, "seek": 38196, "start": 366.68, "end": 381.96, "text": "Find in linearly independent eigenvectors of the matrix A,C,K1,K2 لغاية KN وهذا الكلام بجيناه احنا بنوجده في الأمثلة السابقة كل أربع section واحد كان ال eigenvalues و ال eigenvectors", "tokens": [37, 471, 294, 43586, 6695, 10446, 303, 5547, 295, 264, 8141, 316, 11, 34, 11, 42, 16, 11, 42, 17, 5296, 17082, 995, 10632, 591, 45, 4032, 3224, 15730, 2423, 28820, 10943, 4724, 7435, 1829, 8315, 3224, 1975, 5016, 8315, 44945, 29245, 3215, 3224, 8978, 16247, 2304, 12984, 37977, 21136, 16758, 28671, 28242, 5551, 25513, 3615, 3541, 36764, 24401, 25961, 2423, 10446, 46033, 4032, 2423, 10446, 303, 5547], "avg_logprob": -0.39787138544994854, "compression_ratio": 1.293193717277487, "no_speech_prob": 0.0, "words": [{"start": 366.68, "end": 367.64, "word": "Find", "probability": 0.49608612060546875}, {"start": 367.64, "end": 367.96, "word": " in", "probability": 0.280517578125}, {"start": 367.96, "end": 368.38, "word": " linearly", "probability": 0.8359375}, {"start": 368.38, "end": 369.12, "word": " independent", "probability": 0.85888671875}, {"start": 369.12, "end": 370.0, "word": " eigenvectors", "probability": 0.8512369791666666}, {"start": 370.0, "end": 370.14, "word": " of", "probability": 0.94775390625}, {"start": 370.14, "end": 370.32, "word": " the", "probability": 0.59814453125}, {"start": 370.32, "end": 370.76, "word": " matrix", "probability": 0.951171875}, {"start": 370.76, "end": 371.0, "word": " A", "probability": 0.72314453125}, {"start": 371.0, "end": 371.42, "word": ",C", "probability": 0.25054931640625}, {"start": 371.42, "end": 371.96, "word": ",K1", "probability": 0.758544921875}, {"start": 371.96, "end": 372.54, "word": ",K2", "probability": 0.90283203125}, {"start": 372.54, "end": 373.06, "word": " لغاية", "probability": 0.80694580078125}, {"start": 373.06, "end": 373.7, "word": " KN", "probability": 0.486572265625}, {"start": 373.7, "end": 374.58, "word": " وهذا", "probability": 0.4837646484375}, {"start": 374.58, "end": 374.98, "word": " الكلام", "probability": 0.8868815104166666}, {"start": 374.98, "end": 375.5, "word": " بجيناه", "probability": 0.6109375}, {"start": 375.5, "end": 375.72, "word": " احنا", "probability": 0.816650390625}, {"start": 375.72, "end": 376.4, "word": " بنوجده", "probability": 0.7301025390625}, {"start": 376.4, "end": 376.52, "word": " في", "probability": 0.87744140625}, {"start": 376.52, "end": 377.1, "word": " الأمثلة", "probability": 0.9332275390625}, {"start": 377.1, "end": 377.72, "word": " السابقة", "probability": 0.9934895833333334}, {"start": 377.72, "end": 378.44, "word": " كل", "probability": 0.70361328125}, {"start": 378.44, "end": 379.06, "word": " أربع", "probability": 0.72119140625}, {"start": 379.06, "end": 379.44, "word": " section", "probability": 0.68994140625}, {"start": 379.44, "end": 379.82, "word": " واحد", "probability": 0.923828125}, {"start": 379.82, "end": 380.02, "word": " كان", "probability": 0.96484375}, {"start": 380.02, "end": 380.16, "word": " ال", "probability": 0.55859375}, {"start": 380.16, "end": 380.8, "word": " eigenvalues", "probability": 0.75732421875}, {"start": 380.8, "end": 380.96, "word": " و", "probability": 0.64599609375}, {"start": 380.96, "end": 381.06, "word": " ال", "probability": 0.397705078125}, {"start": 381.06, "end": 381.96, "word": " eigenvectors", "probability": 0.9615885416666666}], "temperature": 1.0}, {"id": 19, "seek": 40043, "start": 382.79, "end": 400.43, "text": "إذا الخطوة الأولى تحصيل حاصل في كل الأمثلة اللى فاتت سواء كانت complex اللى اللى لعنها كانت complex أو real صحيح ولا لا يجب الخطوة الأولى لم نأتي بجديد نجي الخطوة التانية finally matrix K", "tokens": [28814, 15730, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 6055, 5016, 9381, 26895, 11331, 33546, 1211, 8978, 28242, 16247, 2304, 12984, 37977, 13672, 7578, 6156, 9307, 2655, 8608, 2407, 16606, 25961, 2655, 3997, 13672, 7578, 13672, 7578, 5296, 3615, 1863, 11296, 25961, 2655, 3997, 34051, 957, 20328, 5016, 1829, 5016, 49429, 20193, 7251, 7435, 3555, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 32767, 8717, 10721, 31371, 4724, 7435, 16254, 3215, 8717, 7435, 1829, 33962, 9566, 2407, 3660, 16712, 7649, 10632, 2721, 8141, 591], "avg_logprob": -0.28329613201674964, "compression_ratio": 1.6923076923076923, "no_speech_prob": 0.0, "words": [{"start": 382.79, "end": 383.25, "word": "إذا", "probability": 0.4683837890625}, {"start": 383.25, "end": 383.87, "word": " الخطوة", "probability": 0.9534912109375}, {"start": 383.87, "end": 384.31, "word": " الأولى", "probability": 0.9869791666666666}, {"start": 384.31, "end": 385.53, "word": " تحصيل", "probability": 0.7799072265625}, {"start": 385.53, "end": 386.55, "word": " حاصل", "probability": 0.91943359375}, {"start": 386.55, "end": 386.87, "word": " في", "probability": 0.155517578125}, {"start": 386.87, "end": 388.09, "word": " كل", "probability": 0.7939453125}, {"start": 388.09, "end": 388.61, "word": " الأمثلة", "probability": 0.8778076171875}, {"start": 388.61, "end": 388.75, "word": " اللى", "probability": 0.408447265625}, {"start": 388.75, "end": 389.21, "word": " فاتت", "probability": 0.7779947916666666}, {"start": 389.21, "end": 389.69, "word": " سواء", "probability": 0.8507486979166666}, {"start": 389.69, "end": 390.09, "word": " كانت", "probability": 0.926025390625}, {"start": 390.09, "end": 390.75, "word": " complex", "probability": 0.172607421875}, {"start": 390.75, "end": 391.19, "word": " اللى", "probability": 0.68798828125}, {"start": 391.19, "end": 391.33, "word": " اللى", "probability": 0.5323486328125}, {"start": 391.33, "end": 391.61, "word": " لعنها", "probability": 0.7069091796875}, {"start": 391.61, "end": 391.93, "word": " كانت", "probability": 0.759033203125}, {"start": 391.93, "end": 392.27, "word": " complex", "probability": 0.888671875}, {"start": 392.27, "end": 392.53, "word": " أو", "probability": 0.56982421875}, {"start": 392.53, "end": 392.85, "word": " real", "probability": 0.66943359375}, {"start": 392.85, "end": 393.53, "word": " صحيح", "probability": 0.9329833984375}, {"start": 393.53, "end": 393.67, "word": " ولا", "probability": 0.7880859375}, {"start": 393.67, "end": 393.93, "word": " لا", "probability": 0.61083984375}, {"start": 393.93, "end": 394.51, "word": " يجب", "probability": 0.5906575520833334}, {"start": 394.51, "end": 394.99, "word": " الخطوة", "probability": 0.961181640625}, {"start": 394.99, "end": 395.35, "word": " الأولى", "probability": 0.9832356770833334}, {"start": 395.35, "end": 395.57, "word": " لم", "probability": 0.7353515625}, {"start": 395.57, "end": 396.11, "word": " نأتي", "probability": 0.89404296875}, {"start": 396.11, "end": 396.93, "word": " بجديد", "probability": 0.93017578125}, {"start": 396.93, "end": 397.33, "word": " نجي", "probability": 0.76123046875}, {"start": 397.33, "end": 397.83, "word": " الخطوة", "probability": 0.925048828125}, {"start": 397.83, "end": 398.35, "word": " التانية", "probability": 0.9405924479166666}, {"start": 398.35, "end": 399.29, "word": " finally", "probability": 0.6787109375}, {"start": 399.29, "end": 399.97, "word": " matrix", "probability": 0.86181640625}, {"start": 399.97, "end": 400.43, "word": " K", "probability": 0.70068359375}], "temperature": 1.0}, {"id": 20, "seek": 41965, "start": 401.07, "end": 419.65, "text": "اللي هي عناصر هم اللي عمود الأول كواحد كتنين كام يبجى هذه برضه كنا بنكتبها اللي هو العناصر اللي عندنا هذه تبعت ال eigenvectors لما نقول الست هذه تُسمّت ال bases لل eigen spaces تمام؟ يبجى، إيه المصروف في هذه؟", "tokens": [6027, 20292, 39896, 18871, 33546, 2288, 8032, 2304, 13672, 1829, 6225, 2304, 23328, 16247, 12610, 9122, 14407, 24401, 9122, 2655, 1863, 9957, 9122, 10943, 7251, 3555, 7435, 7578, 29538, 4724, 43042, 3224, 9122, 8315, 44945, 4117, 2655, 3555, 11296, 13672, 1829, 31439, 18863, 1863, 33546, 2288, 13672, 1829, 43242, 8315, 29538, 6055, 3555, 34268, 2423, 10446, 303, 5547, 5296, 15042, 8717, 39648, 2423, 14851, 29538, 6055, 10859, 38251, 11703, 2655, 2423, 17949, 24976, 10446, 7673, 46811, 10943, 22807, 7251, 3555, 7435, 7578, 12399, 11933, 1829, 3224, 9673, 9381, 32887, 5172, 8978, 29538, 22807], "avg_logprob": -0.38364360497352923, "compression_ratio": 1.7192118226600985, "no_speech_prob": 0.0, "words": [{"start": 401.07, "end": 401.37, "word": "اللي", "probability": 0.3740234375}, {"start": 401.37, "end": 401.51, "word": " هي", "probability": 0.8603515625}, {"start": 401.51, "end": 402.09, "word": " عناصر", "probability": 0.95263671875}, {"start": 402.09, "end": 402.25, "word": " هم", "probability": 0.419677734375}, {"start": 402.25, "end": 402.39, "word": " اللي", "probability": 0.543212890625}, {"start": 402.39, "end": 402.69, "word": " عمود", "probability": 0.8645833333333334}, {"start": 402.69, "end": 402.97, "word": " الأول", "probability": 0.7274169921875}, {"start": 402.97, "end": 403.55, "word": " كواحد", "probability": 0.5783284505208334}, {"start": 403.55, "end": 404.17, "word": " كتنين", "probability": 0.8314208984375}, {"start": 404.17, "end": 405.05, "word": " كام", "probability": 0.755859375}, {"start": 405.05, "end": 405.69, "word": " يبجى", "probability": 0.61376953125}, {"start": 405.69, "end": 405.91, "word": " هذه", "probability": 0.431884765625}, {"start": 405.91, "end": 406.49, "word": " برضه", "probability": 0.8932291666666666}, {"start": 406.49, "end": 406.99, "word": " كنا", "probability": 0.978515625}, {"start": 406.99, "end": 408.09, "word": " بنكتبها", "probability": 0.9763671875}, {"start": 408.09, "end": 408.69, "word": " اللي", "probability": 0.94970703125}, {"start": 408.69, "end": 408.81, "word": " هو", "probability": 0.90478515625}, {"start": 408.81, "end": 409.71, "word": " العناصر", "probability": 0.76324462890625}, {"start": 409.71, "end": 410.01, "word": " اللي", "probability": 0.935302734375}, {"start": 410.01, "end": 410.31, "word": " عندنا", "probability": 0.80419921875}, {"start": 410.31, "end": 410.47, "word": " هذه", "probability": 0.21484375}, {"start": 410.47, "end": 410.79, "word": " تبعت", "probability": 0.7789713541666666}, {"start": 410.79, "end": 410.93, "word": " ال", "probability": 0.8896484375}, {"start": 410.93, "end": 411.39, "word": " eigenvectors", "probability": 0.5069173177083334}, {"start": 411.39, "end": 411.57, "word": " لما", "probability": 0.556640625}, {"start": 411.57, "end": 411.77, "word": " نقول", "probability": 0.884765625}, {"start": 411.77, "end": 412.33, "word": " الست", "probability": 0.65771484375}, {"start": 412.33, "end": 412.79, "word": " هذه", "probability": 0.476318359375}, {"start": 412.79, "end": 413.81, "word": " تُسمّت", "probability": 0.632958984375}, {"start": 413.81, "end": 414.05, "word": " ال", "probability": 0.91357421875}, {"start": 414.05, "end": 414.45, "word": " bases", "probability": 0.61572265625}, {"start": 414.45, "end": 414.87, "word": " لل", "probability": 0.90380859375}, {"start": 414.87, "end": 415.55, "word": " eigen", "probability": 0.60693359375}, {"start": 415.55, "end": 416.75, "word": " spaces", "probability": 0.62353515625}, {"start": 416.75, "end": 418.19, "word": " تمام؟", "probability": 0.7928059895833334}, {"start": 418.19, "end": 418.71, "word": " يبجى،", "probability": 0.8260009765625}, {"start": 418.71, "end": 418.73, "word": " إيه", "probability": 0.7476806640625}, {"start": 418.73, "end": 419.21, "word": " المصروف", "probability": 0.8082275390625}, {"start": 419.21, "end": 419.29, "word": " في", "probability": 0.56103515625}, {"start": 419.29, "end": 419.65, "word": " هذه؟", "probability": 0.872314453125}], "temperature": 1.0}, {"id": 21, "seek": 43616, "start": 419.68, "end": 436.16, "text": "Where الكهات هذول are called eigenvectors يبقى جيبنا له المصوفة تحصيل حاصل كمان هذه يعني ال eigenvectors اللي جيبناهم بدك تكتبهم بس على شكل المصوفة هي اللي بتقوله منهم الخطوة الثانية", "tokens": [14436, 33251, 3224, 9307, 8032, 8848, 12610, 366, 1219, 10446, 303, 5547, 7251, 3555, 4587, 7578, 10874, 1829, 3555, 8315, 46740, 9673, 9381, 38688, 3660, 6055, 5016, 9381, 26895, 11331, 33546, 1211, 9122, 2304, 7649, 29538, 37495, 22653, 2423, 10446, 303, 5547, 13672, 1829, 10874, 1829, 3555, 8315, 16095, 47525, 4117, 6055, 4117, 2655, 3555, 16095, 4724, 3794, 15844, 13412, 28820, 9673, 9381, 38688, 3660, 39896, 13672, 1829, 39894, 39648, 3224, 9154, 16095, 33962, 9566, 2407, 3660, 6024, 104, 7649, 10632], "avg_logprob": -0.27400914125326203, "compression_ratio": 1.6174863387978142, "no_speech_prob": 0.0, "words": [{"start": 419.68, "end": 420.26, "word": "Where", "probability": 0.096923828125}, {"start": 420.26, "end": 420.86, "word": " الكهات", "probability": 0.7646484375}, {"start": 420.86, "end": 421.24, "word": " هذول", "probability": 0.7442220052083334}, {"start": 421.24, "end": 421.5, "word": " are", "probability": 0.51171875}, {"start": 421.5, "end": 422.2, "word": " called", "probability": 0.8095703125}, {"start": 422.2, "end": 423.46, "word": " eigenvectors", "probability": 0.70263671875}, {"start": 423.46, "end": 424.26, "word": " يبقى", "probability": 0.84765625}, {"start": 424.26, "end": 424.7, "word": " جيبنا", "probability": 0.9415283203125}, {"start": 424.7, "end": 424.84, "word": " له", "probability": 0.40185546875}, {"start": 424.84, "end": 425.6, "word": " المصوفة", "probability": 0.8306884765625}, {"start": 425.6, "end": 426.5, "word": " تحصيل", "probability": 0.77056884765625}, {"start": 426.5, "end": 427.1, "word": " حاصل", "probability": 0.9503580729166666}, {"start": 427.1, "end": 427.46, "word": " كمان", "probability": 0.8041178385416666}, {"start": 427.46, "end": 427.64, "word": " هذه", "probability": 0.372802734375}, {"start": 427.64, "end": 428.44, "word": " يعني", "probability": 0.850830078125}, {"start": 428.44, "end": 428.62, "word": " ال", "probability": 0.8427734375}, {"start": 428.62, "end": 429.82, "word": " eigenvectors", "probability": 0.8517252604166666}, {"start": 429.82, "end": 430.2, "word": " اللي", "probability": 0.881103515625}, {"start": 430.2, "end": 430.68, "word": " جيبناهم", "probability": 0.97490234375}, {"start": 430.68, "end": 431.0, "word": " بدك", "probability": 0.4273681640625}, {"start": 431.0, "end": 431.38, "word": " تكتبهم", "probability": 0.8021484375}, {"start": 431.38, "end": 431.82, "word": " بس", "probability": 0.877685546875}, {"start": 431.82, "end": 432.34, "word": " على", "probability": 0.8193359375}, {"start": 432.34, "end": 432.72, "word": " شكل", "probability": 0.9404296875}, {"start": 432.72, "end": 433.24, "word": " المصوفة", "probability": 0.9239501953125}, {"start": 433.24, "end": 433.42, "word": " هي", "probability": 0.2449951171875}, {"start": 433.42, "end": 433.56, "word": " اللي", "probability": 0.9453125}, {"start": 433.56, "end": 434.02, "word": " بتقوله", "probability": 0.8992513020833334}, {"start": 434.02, "end": 434.4, "word": " منهم", "probability": 0.4681396484375}, {"start": 434.4, "end": 435.44, "word": " الخطوة", "probability": 0.9696044921875}, {"start": 435.44, "end": 436.16, "word": " الثانية", "probability": 0.9512939453125}], "temperature": 1.0}, {"id": 22, "seek": 45656, "start": 436.44, "end": 456.56, "text": "يبقى الخطوة الأولى بدي أجيب ال eigenvalues و ال eigenvectors الخطوة التانية بدي أكتب ال eigenvectors على شكل مصفوفة الخطوة التالتة دي matrix المصففة كإنفرس A كي والب A دياجونال matrix حديها الرمز دي يبقى بتطلع عندك ال diagonal يعني بدي أضرب", "tokens": [1829, 3555, 4587, 7578, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 4724, 16254, 5551, 7435, 1829, 3555, 2423, 10446, 46033, 4032, 2423, 10446, 303, 5547, 33962, 9566, 2407, 3660, 16712, 7649, 10632, 4724, 16254, 5551, 4117, 2655, 3555, 2423, 10446, 303, 5547, 15844, 13412, 28820, 3714, 9381, 5172, 38688, 3660, 33962, 9566, 2407, 3660, 16712, 6027, 2655, 3660, 11778, 1829, 8141, 9673, 9381, 5172, 5172, 3660, 9122, 28814, 1863, 5172, 2288, 3794, 316, 9122, 1829, 16070, 3555, 316, 11778, 1829, 26108, 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"end": 1378.11, "word": " عندنا", "probability": 0.923583984375}, {"start": 1378.11, "end": 1378.35, "word": " ده", "probability": 0.770263671875}], "temperature": 1.0}, {"id": 62, "seek": 140427, "start": 1379.01, "end": 1404.27, "text": "بدي اضرب كل العناصر في سالب طول يبقى هذا بيعطيكوا جداش سالب واحد و هنا zero و هنا zero سالب مع سالب موجب و هنا باتنين اطلعلي عناصر القطرة رئيسي سالب واحد و اتنين هي قيم main ال eigen value المعنى هذا الكلام ان ال a is diagonalizable يبقى هنا", "tokens": [3555, 16254, 1975, 11242, 25513, 28242, 18863, 1863, 33546, 2288, 8978, 8608, 6027, 3555, 23032, 12610, 7251, 3555, 4587, 7578, 23758, 4724, 40228, 9566, 1829, 4117, 14407, 10874, 3215, 33599, 8608, 6027, 3555, 36764, 24401, 4032, 34105, 4018, 4032, 34105, 4018, 8608, 6027, 3555, 20449, 8608, 6027, 3555, 3714, 29245, 3555, 4032, 34105, 4724, 9307, 1863, 9957, 1975, 9566, 1211, 3615, 20292, 18871, 33546, 2288, 25062, 9566, 25720, 12602, 19986, 1829, 3794, 1829, 8608, 6027, 3555, 36764, 24401, 4032, 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1383.69, "word": " هذا", "probability": 0.8564453125}, {"start": 1383.69, "end": 1384.27, "word": " بيعطيكوا", "probability": 0.8102213541666666}, {"start": 1384.27, "end": 1384.93, "word": " جداش", "probability": 0.6106770833333334}, {"start": 1384.93, "end": 1385.81, "word": " سالب", "probability": 0.8909505208333334}, {"start": 1385.81, "end": 1386.41, "word": " واحد", "probability": 0.966796875}, {"start": 1386.41, "end": 1386.65, "word": " و", "probability": 0.513671875}, {"start": 1386.65, "end": 1386.91, "word": " هنا", "probability": 0.70556640625}, {"start": 1386.91, "end": 1387.41, "word": " zero", "probability": 0.54296875}, {"start": 1387.41, "end": 1387.99, "word": " و", "probability": 0.6396484375}, {"start": 1387.99, "end": 1388.25, "word": " هنا", "probability": 0.95166015625}, {"start": 1388.25, "end": 1388.55, "word": " zero", "probability": 0.72900390625}, {"start": 1388.55, "end": 1388.97, "word": " سالب", "probability": 0.77978515625}, {"start": 1388.97, "end": 1389.13, "word": " مع", "probability": 0.9794921875}, {"start": 1389.13, "end": 1389.59, "word": " سالب", "probability": 0.9060872395833334}, {"start": 1389.59, "end": 1390.01, "word": " موجب", "probability": 0.974609375}, {"start": 1390.01, "end": 1390.15, "word": " و", "probability": 0.82080078125}, {"start": 1390.15, "end": 1390.47, "word": " هنا", "probability": 0.8837890625}, {"start": 1390.47, "end": 1392.01, "word": " باتنين", "probability": 0.712646484375}, {"start": 1392.01, "end": 1393.25, "word": " اطلعلي", "probability": 0.6452880859375}, {"start": 1393.25, "end": 1393.77, "word": " عناصر", "probability": 0.94189453125}, {"start": 1393.77, "end": 1394.23, "word": " القطرة", "probability": 0.8307291666666666}, {"start": 1394.23, "end": 1394.89, "word": " رئيسي", "probability": 0.915234375}, {"start": 1394.89, "end": 1395.57, "word": " سالب", "probability": 0.9611002604166666}, {"start": 1395.57, "end": 1395.87, "word": " واحد", "probability": 0.9697265625}, {"start": 1395.87, "end": 1396.03, "word": " و", "probability": 0.94091796875}, {"start": 1396.03, "end": 1396.33, "word": " اتنين", "probability": 0.82757568359375}, {"start": 1396.33, "end": 1396.63, "word": " هي", "probability": 0.8349609375}, {"start": 1396.63, "end": 1397.15, "word": " قيم", "probability": 0.97412109375}, {"start": 1397.15, "end": 1397.59, "word": " main", "probability": 0.2491455078125}, {"start": 1397.59, "end": 1398.13, "word": " ال", "probability": 0.7958984375}, {"start": 1398.13, "end": 1398.43, "word": " eigen", "probability": 0.43212890625}, {"start": 1398.43, "end": 1398.81, "word": " value", "probability": 0.6875}, {"start": 1398.81, "end": 1399.23, "word": " المعنى", "probability": 0.80029296875}, {"start": 1399.23, "end": 1399.53, "word": " هذا", "probability": 0.87841796875}, {"start": 1399.53, "end": 1400.05, "word": " الكلام", "probability": 0.9558919270833334}, {"start": 1400.05, "end": 1400.23, "word": " ان", "probability": 0.8466796875}, {"start": 1400.23, "end": 1400.47, "word": " ال", "probability": 0.9345703125}, {"start": 1400.47, "end": 1400.85, "word": " a", "probability": 0.492919921875}, {"start": 1400.85, "end": 1401.37, "word": " is", "probability": 0.83642578125}, {"start": 1401.37, "end": 1402.75, "word": " diagonalizable", "probability": 0.873779296875}, {"start": 1402.75, "end": 1403.97, "word": " يبقى", "probability": 0.975830078125}, {"start": 1403.97, "end": 1404.27, "word": " هنا", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 63, "seek": 141404, "start": 1405.92, "end": 1414.04, "text": "الـ A is diagonalizable وهو المطلوب", "tokens": [6027, 39184, 316, 307, 21539, 22395, 37037, 2407, 9673, 9566, 1211, 37746], "avg_logprob": -0.22355769230769232, "compression_ratio": 0.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 1405.92, "end": 1406.44, "word": "الـ", "probability": 0.87548828125}, {"start": 1406.44, "end": 1406.84, "word": " A", "probability": 0.6875}, {"start": 1406.84, "end": 1407.94, "word": " is", "probability": 0.72607421875}, {"start": 1407.94, "end": 1411.72, "word": " diagonalizable", "probability": 0.768798828125}, {"start": 1411.72, "end": 1413.52, "word": " وهو", "probability": 0.6708984375}, {"start": 1413.52, "end": 1414.04, "word": " المطلوب", "probability": 0.968017578125}], "temperature": 1.0}, {"id": 64, "seek": 146906, "start": 1441.92, "end": 1469.06, "text": "ناخد الملاحظة هذه remark it should be noted that it should be noted that يجب ملاحظة ان not every square matrix not every", "tokens": [1863, 47283, 3215, 9673, 15040, 5016, 19913, 3660, 29538, 7942, 309, 820, 312, 12964, 300, 309, 820, 312, 12964, 300, 7251, 7435, 3555, 3714, 15040, 5016, 19913, 3660, 16472, 406, 633, 3732, 8141, 406, 633], "avg_logprob": -0.2352430505885018, "compression_ratio": 1.3394495412844036, "no_speech_prob": 0.0, "words": [{"start": 1441.92, "end": 1442.44, "word": "ناخد", "probability": 0.6881510416666666}, {"start": 1442.44, "end": 1443.22, "word": " الملاحظة", "probability": 0.9033203125}, {"start": 1443.22, "end": 1444.14, "word": " هذه", "probability": 0.32666015625}, {"start": 1444.14, "end": 1445.56, "word": " remark", "probability": 0.200927734375}, {"start": 1445.56, "end": 1451.06, "word": " it", "probability": 0.7451171875}, {"start": 1451.06, "end": 1451.34, "word": " should", "probability": 0.97900390625}, {"start": 1451.34, "end": 1451.52, "word": " be", "probability": 0.9208984375}, {"start": 1451.52, "end": 1451.82, "word": " noted", "probability": 0.93603515625}, {"start": 1451.82, "end": 1452.5, "word": " that", "probability": 0.90576171875}, {"start": 1452.5, "end": 1453.54, "word": " it", "probability": 0.377685546875}, {"start": 1453.54, "end": 1455.18, "word": " should", "probability": 0.966796875}, {"start": 1455.18, "end": 1457.28, "word": " be", "probability": 0.92578125}, {"start": 1457.28, "end": 1459.9, "word": " noted", "probability": 0.912109375}, {"start": 1459.9, "end": 1462.12, "word": " that", "probability": 0.9345703125}, {"start": 1462.12, "end": 1462.54, "word": " يجب", "probability": 0.9287109375}, {"start": 1462.54, "end": 1463.34, "word": " ملاحظة", "probability": 0.96416015625}, {"start": 1463.34, "end": 1463.7, "word": " ان", "probability": 0.7158203125}, {"start": 1463.7, "end": 1464.7, "word": " not", "probability": 0.73583984375}, {"start": 1464.7, "end": 1465.08, "word": " every", "probability": 0.8212890625}, {"start": 1465.08, "end": 1465.5, "word": " square", "probability": 0.8173828125}, {"start": 1465.5, "end": 1466.32, "word": " matrix", "probability": 0.8916015625}, {"start": 1466.32, "end": 1467.42, "word": " not", "probability": 0.8310546875}, {"start": 1467.42, "end": 1469.06, "word": " every", "probability": 0.8046875}], "temperature": 1.0}, {"id": 65, "seek": 149886, "start": 1472.36, "end": 1498.86, "text": "square matrix مش كل مصوفة مربعة is similar to a diagonal matrix because السبب", "tokens": [33292, 543, 8141, 37893, 28242, 3714, 9381, 38688, 3660, 3714, 25513, 27884, 307, 2531, 281, 257, 21539, 8141, 570, 21136, 3555, 3555], "avg_logprob": -0.2608695729919102, "compression_ratio": 1.032258064516129, "no_speech_prob": 0.0, "words": [{"start": 1472.36, "end": 1473.76, "word": "square", "probability": 0.5921630859375}, {"start": 1473.76, "end": 1475.16, "word": " matrix", "probability": 0.8828125}, {"start": 1475.16, "end": 1476.7, "word": " مش", "probability": 0.9306640625}, {"start": 1476.7, "end": 1476.96, "word": " كل", "probability": 0.9755859375}, {"start": 1476.96, "end": 1477.62, "word": " مصوفة", "probability": 0.864501953125}, {"start": 1477.62, "end": 1478.32, "word": " مربعة", "probability": 0.7447916666666666}, {"start": 1478.32, "end": 1479.12, "word": " is", "probability": 0.78857421875}, {"start": 1479.12, "end": 1481.2, "word": " similar", "probability": 0.888671875}, {"start": 1481.2, "end": 1485.1, "word": " to", "probability": 0.379150390625}, {"start": 1485.1, "end": 1487.44, "word": " a", "probability": 0.79248046875}, {"start": 1487.44, "end": 1488.26, "word": " diagonal", "probability": 0.8828125}, {"start": 1488.26, "end": 1491.88, "word": " matrix", "probability": 0.95751953125}, {"start": 1491.88, "end": 1494.88, "word": " because", "probability": 0.8681640625}, {"start": 1494.88, "end": 1498.86, "word": " السبب", "probability": 0.8780924479166666}], "temperature": 1.0}, {"id": 66, "seek": 152665, "start": 1501.69, "end": 1526.65, "text": "بسبب ان ليس كل مقاطع كل مقاطعة لديها مقاطعة كاملة كمقاطعة كاملة", "tokens": [3555, 35457, 3555, 16472, 32239, 3794, 28242, 3714, 4587, 41193, 3615, 28242, 3714, 4587, 41193, 27884, 5296, 16254, 11296, 3714, 4587, 41193, 27884, 9122, 10943, 37977, 9122, 2304, 4587, 41193, 27884, 9122, 10943, 37977], "avg_logprob": -0.629017870766776, "compression_ratio": 1.6428571428571428, "no_speech_prob": 0.0, "words": [{"start": 1501.69, "end": 1502.77, "word": "بسبب", "probability": 0.497802734375}, {"start": 1502.77, "end": 1503.91, "word": " ان", "probability": 0.39013671875}, {"start": 1503.91, "end": 1504.65, "word": " ليس", "probability": 0.632080078125}, {"start": 1504.65, "end": 1505.03, "word": " كل", "probability": 0.94677734375}, {"start": 1505.03, "end": 1505.33, "word": " مقاطع", "probability": 0.34393310546875}, {"start": 1505.33, "end": 1507.07, "word": " كل", "probability": 0.1239013671875}, {"start": 1507.07, "end": 1511.77, "word": " مقاطعة", "probability": 0.843505859375}, {"start": 1511.77, "end": 1519.87, "word": " لديها", "probability": 0.6903889973958334}, {"start": 1519.87, "end": 1520.21, "word": " مقاطعة", "probability": 0.59906005859375}, {"start": 1520.21, "end": 1520.65, "word": " كاملة", "probability": 0.62451171875}, {"start": 1520.65, "end": 1526.65, "word": " كمقاطعة", "probability": 0.730224609375}, {"start": 1526.65, "end": 1526.65, "word": " كاملة", "probability": 0.9640299479166666}], "temperature": 1.0}, {"id": 67, "seek": 155775, "start": 1531.15, "end": 1557.75, "text": "complicit of eigenvectors example is the matrix A تساوي", "tokens": [1112, 4770, 270, 295, 10446, 303, 5547, 1365, 307, 264, 8141, 316, 6055, 3794, 995, 45865], "avg_logprob": -0.35409007352941174, "compression_ratio": 0.8823529411764706, "no_speech_prob": 0.0, "words": [{"start": 1531.15, "end": 1532.09, "word": "complicit", "probability": 0.4095865885416667}, {"start": 1532.09, "end": 1532.95, "word": " of", "probability": 0.95361328125}, {"start": 1532.95, "end": 1538.23, "word": " eigenvectors", "probability": 0.71630859375}, {"start": 1538.23, "end": 1541.45, "word": " example", "probability": 0.689453125}, {"start": 1541.45, "end": 1548.43, "word": " is", "probability": 0.90185546875}, {"start": 1548.43, "end": 1550.47, "word": " the", "probability": 0.81640625}, {"start": 1550.47, "end": 1553.33, "word": " matrix", "probability": 0.958984375}, {"start": 1553.33, "end": 1555.53, "word": " A", "probability": 0.6845703125}, {"start": 1555.53, "end": 1557.75, "word": " تساوي", "probability": 0.81695556640625}], "temperature": 1.0}, {"id": 68, "seek": 157089, "start": 1558.89, "end": 1570.89, "text": "ايتنين تلاتة زيرو اتنين Similar to a diagonal matrix", "tokens": [995, 36081, 1863, 9957, 6055, 1211, 9307, 3660, 30767, 13546, 2407, 1975, 2655, 1863, 9957, 10905, 281, 257, 21539, 8141], "avg_logprob": -0.49851190476190477, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 1558.89, "end": 1559.67, "word": "ايتنين", "probability": 0.4893035888671875}, {"start": 1559.67, "end": 1560.49, "word": " تلاتة", "probability": 0.9219970703125}, {"start": 1560.49, "end": 1561.15, "word": " زيرو", "probability": 0.5694986979166666}, {"start": 1561.15, "end": 1561.79, "word": " اتنين", "probability": 0.974365234375}, {"start": 1561.79, "end": 1563.65, "word": " Similar", "probability": 0.1669921875}, {"start": 1563.65, "end": 1567.49, "word": " to", "probability": 0.59375}, {"start": 1567.49, "end": 1569.61, "word": " a", "probability": 0.28564453125}, {"start": 1569.61, "end": 1570.07, "word": " diagonal", "probability": 0.8994140625}, {"start": 1570.07, "end": 1570.89, "word": " matrix", "probability": 0.9541015625}], "temperature": 1.0}, {"id": 69, "seek": 162466, "start": 1596.78, "end": 1624.66, "text": "العمود هذا لازم خلاص خلي بالكم", "tokens": [6027, 25957, 23328, 23758, 5296, 31377, 2304, 16490, 1211, 33546, 16490, 20292, 20666, 24793], "avg_logprob": -0.3010416587193807, "compression_ratio": 0.9649122807017544, "no_speech_prob": 0.0, "words": [{"start": 1596.78, "end": 1597.28, "word": "العمود", "probability": 0.6259765625}, {"start": 1597.28, "end": 1597.5, "word": " هذا", "probability": 0.34521484375}, {"start": 1597.5, "end": 1598.0, "word": " لازم", "probability": 0.96044921875}, {"start": 1598.0, "end": 1599.64, "word": " خلاص", "probability": 0.95751953125}, {"start": 1599.64, "end": 1624.36, "word": " خلي", "probability": 0.697265625}, {"start": 1624.36, "end": 1624.66, "word": " بالكم", "probability": 0.6572265625}], "temperature": 1.0}, {"id": 70, "seek": 164719, "start": 1625.79, "end": 1647.19, "text": "الملاحظة اللى كتبناها المثال اللى جاب لو كان هنا مصحوف مربع نظام اتنين في اتنين لقناها diagonalizable لما نسأل هل المصحوف دي diagonalizable ولا لا انا بفهم منها شغلتين الشغل الاولى قد تكون diagonalizable وقد لا تكون diagonalizable", "tokens": [45340, 15040, 5016, 19913, 3660, 13672, 7578, 9122, 2655, 3555, 8315, 11296, 9673, 12984, 6027, 13672, 7578, 10874, 16758, 45164, 25961, 34105, 3714, 9381, 5016, 38688, 3714, 25513, 3615, 8717, 19913, 10943, 1975, 2655, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 5296, 4587, 8315, 11296, 21539, 22395, 5296, 15042, 8717, 3794, 10721, 1211, 8032, 1211, 9673, 9381, 5016, 38688, 11778, 1829, 21539, 22395, 49429, 20193, 1975, 8315, 4724, 5172, 16095, 9154, 11296, 13412, 17082, 1211, 2655, 9957, 25124, 17082, 1211, 42963, 12610, 7578, 12174, 3215, 6055, 30544, 21539, 22395, 4032, 28543, 20193, 6055, 30544, 21539, 22395], "avg_logprob": -0.2384020667715171, "compression_ratio": 1.9015544041450778, "no_speech_prob": 0.0, "words": [{"start": 1625.79, "end": 1626.69, "word": "الملاحظة", "probability": 0.76142578125}, {"start": 1626.69, "end": 1626.79, "word": " اللى", "probability": 0.4833984375}, {"start": 1626.79, "end": 1628.77, "word": " كتبناها", "probability": 0.876953125}, {"start": 1628.77, "end": 1629.69, "word": " المثال", "probability": 0.8111979166666666}, {"start": 1629.69, "end": 1629.83, "word": " اللى", "probability": 0.98779296875}, {"start": 1629.83, "end": 1630.11, "word": " جاب", "probability": 0.919677734375}, {"start": 1630.11, "end": 1630.31, "word": " لو", "probability": 0.74658203125}, {"start": 1630.31, "end": 1630.49, "word": " كان", "probability": 0.9736328125}, {"start": 1630.49, "end": 1630.79, "word": " هنا", "probability": 0.35107421875}, {"start": 1630.79, "end": 1631.27, "word": " مصحوف", "probability": 0.708740234375}, {"start": 1631.27, "end": 1631.79, "word": " مربع", "probability": 0.9490559895833334}, {"start": 1631.79, "end": 1632.21, "word": " نظام", "probability": 0.99462890625}, {"start": 1632.21, "end": 1632.65, "word": " اتنين", "probability": 0.82769775390625}, {"start": 1632.65, "end": 1632.81, "word": " في", "probability": 0.59228515625}, {"start": 1632.81, "end": 1633.21, "word": " اتنين", "probability": 0.980224609375}, {"start": 1633.21, "end": 1633.81, "word": " لقناها", "probability": 0.640289306640625}, {"start": 1633.81, "end": 1634.93, "word": " diagonalizable", "probability": 0.782958984375}, {"start": 1634.93, "end": 1635.89, "word": " لما", "probability": 0.741455078125}, {"start": 1635.89, "end": 1636.33, "word": " نسأل", "probability": 0.835693359375}, {"start": 1636.33, "end": 1636.91, "word": " هل", "probability": 0.758544921875}, {"start": 1636.91, "end": 1637.51, "word": " المصحوف", "probability": 0.892822265625}, {"start": 1637.51, "end": 1638.01, "word": " دي", "probability": 0.625244140625}, {"start": 1638.01, "end": 1638.73, "word": " diagonalizable", 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"word": " وقد", "probability": 0.8896484375}, {"start": 1645.19, "end": 1645.47, "word": " لا", "probability": 0.615234375}, {"start": 1645.47, "end": 1646.13, "word": " تكون", "probability": 0.85400390625}, {"start": 1646.13, "end": 1647.19, "word": " diagonalizable", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 71, "seek": 166912, "start": 1647.52, "end": 1669.12, "text": "إذا ما بنقدر نقول مش كل مصفوفة similar to اي مصفوفة أخرى ليس بالضرورة أو بمعنى أخر مش كل مصفوفة بتكون diagonalizable طيب كيه بدنا نثبت صحة هذا الكلام أو كيه بدنا نبين هذا الكلام؟ إيش بقولي هنا في الملاحظة دي؟", "tokens": [28814, 15730, 19446, 44945, 28543, 2288, 8717, 39648, 37893, 28242, 3714, 9381, 5172, 38688, 3660, 2531, 281, 1975, 1829, 3714, 9381, 5172, 38688, 3660, 5551, 34740, 7578, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 34051, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 37893, 28242, 3714, 9381, 5172, 38688, 3660, 39894, 30544, 21539, 22395, 23032, 1829, 3555, 9122, 1829, 3224, 47525, 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"probability": 0.6552734375}, {"start": 1651.86, "end": 1652.4, "word": " to", "probability": 0.9658203125}, {"start": 1652.4, "end": 1652.88, "word": " اي", "probability": 0.755126953125}, {"start": 1652.88, "end": 1653.54, "word": " مصفوفة", "probability": 0.96142578125}, {"start": 1653.54, "end": 1654.38, "word": " أخرى", "probability": 0.9239908854166666}, {"start": 1654.38, "end": 1654.96, "word": " ليس", "probability": 0.6722412109375}, {"start": 1654.96, "end": 1655.56, "word": " بالضرورة", "probability": 0.90107421875}, {"start": 1655.56, "end": 1655.7, "word": " أو", "probability": 0.70263671875}, {"start": 1655.7, "end": 1656.1, "word": " بمعنى", "probability": 0.9765625}, {"start": 1656.1, "end": 1656.46, "word": " أخر", "probability": 0.7442626953125}, {"start": 1656.46, "end": 1657.1, "word": " مش", "probability": 0.94091796875}, {"start": 1657.1, "end": 1657.48, "word": " كل", "probability": 0.9775390625}, {"start": 1657.48, "end": 1658.24, "word": " مصفوفة", "probability": 0.98876953125}, {"start": 1658.24, "end": 1658.74, "word": " بتكون", "probability": 0.94970703125}, {"start": 1658.74, "end": 1659.92, "word": " diagonalizable", "probability": 0.8466796875}, {"start": 1659.92, "end": 1661.1, "word": " طيب", "probability": 0.9153645833333334}, {"start": 1661.1, "end": 1661.44, "word": " كيه", "probability": 0.7242024739583334}, {"start": 1661.44, "end": 1661.76, "word": " بدنا", "probability": 0.93798828125}, {"start": 1661.76, "end": 1662.28, "word": " نثبت", "probability": 0.994873046875}, {"start": 1662.28, "end": 1662.74, "word": " صحة", "probability": 0.8361002604166666}, {"start": 1662.74, "end": 1662.98, "word": " هذا", "probability": 0.919921875}, {"start": 1662.98, "end": 1663.38, "word": " الكلام", "probability": 0.9482421875}, {"start": 1663.38, "end": 1663.54, "word": " أو", "probability": 0.53125}, {"start": 1663.54, "end": 1663.9, "word": " كيه", "probability": 0.98974609375}, {"start": 1663.9, "end": 1664.24, "word": " بدنا", "probability": 0.945068359375}, {"start": 1664.24, "end": 1664.8, "word": " نبين", "probability": 0.87158203125}, {"start": 1664.8, "end": 1665.4, "word": " هذا", "probability": 0.95263671875}, {"start": 1665.4, "end": 1666.3, "word": " الكلام؟", "probability": 0.8758544921875}, {"start": 1666.3, "end": 1666.44, "word": " إيش", "probability": 0.69921875}, {"start": 1666.44, "end": 1666.88, "word": " بقولي", "probability": 0.534912109375}, {"start": 1666.88, "end": 1667.1, "word": " هنا", "probability": 0.98486328125}, {"start": 1667.1, "end": 1667.26, "word": " في", "probability": 0.9375}, {"start": 1667.26, "end": 1668.82, "word": " الملاحظة", "probability": 0.875537109375}, {"start": 1668.82, "end": 1669.12, "word": " دي؟", "probability": 0.7552083333333334}], "temperature": 1.0}, {"id": 72, "seek": 169228, "start": 1677.9, "end": 1692.28, "text": "مش كل مصفوفة مربعة مشكلة مش كل مصفوفة مربعة مشكلة مش كل", "tokens": [2304, 8592, 28242, 3714, 9381, 5172, 38688, 3660, 3714, 25513, 27884, 37893, 28820, 3660, 37893, 28242, 3714, 9381, 5172, 38688, 3660, 3714, 25513, 27884, 37893, 28820, 3660, 37893, 28242], "avg_logprob": -0.4138020743926366, "compression_ratio": 2.0625, "no_speech_prob": 0.0, "words": [{"start": 1677.8999999999999, "end": 1679.3, "word": "مش", "probability": 0.37493896484375}, {"start": 1679.3, "end": 1680.7, "word": " كل", "probability": 0.94482421875}, {"start": 1680.7, "end": 1681.5, "word": " مصفوفة", "probability": 0.75703125}, {"start": 1681.5, "end": 1682.14, "word": " مربعة", "probability": 0.8253580729166666}, {"start": 1682.14, "end": 1683.76, "word": " مشكلة", "probability": 0.6824544270833334}, {"start": 1683.76, "end": 1683.76, "word": " مش", "probability": 0.23193359375}, {"start": 1683.76, "end": 1683.84, "word": " كل", "probability": 0.619140625}, {"start": 1683.84, "end": 1687.7, "word": " مصفوفة", "probability": 0.87470703125}, {"start": 1687.7, "end": 1688.44, "word": " مربعة", "probability": 0.7942708333333334}, {"start": 1688.44, "end": 1691.6, "word": " مشكلة", "probability": 0.89208984375}, {"start": 1691.6, "end": 1691.6, "word": " مش", "probability": 0.736328125}, {"start": 1691.6, "end": 1692.28, "word": " كل", "probability": 0.5048828125}], "temperature": 1.0}, {"id": 73, "seek": 171996, "start": 1694.72, "end": 1719.96, "text": "square matrix المصحوفة مربعية و complete set of eigenvalues تعالى نترجم هذا الكلام على أرض الواقع المعطيني المصحوفة وجالى يشوف لي هل هذه diagonalizable ولا not diagonalizable إذا بدي أمشي مثل ما مشيت في المثال اللى طوى شوف حالي إلى وين بدي أوصل هل بقدر أكمل ولا بقدرش أكمل", "tokens": [33292, 543, 8141, 9673, 9381, 5016, 38688, 3660, 3714, 25513, 3615, 10632, 4032, 3566, 992, 295, 10446, 46033, 37279, 6027, 7578, 8717, 2655, 47341, 2304, 23758, 2423, 28820, 10943, 15844, 5551, 43042, 2423, 14407, 4587, 3615, 9673, 3615, 9566, 9957, 1829, 9673, 9381, 5016, 38688, 3660, 49610, 6027, 7578, 7251, 8592, 38688, 32239, 8032, 1211, 29538, 21539, 22395, 49429, 406, 21539, 22395, 11933, 15730, 4724, 16254, 5551, 2304, 8592, 1829, 50113, 1211, 19446, 37893, 36081, 8978, 9673, 12984, 6027, 13672, 7578, 23032, 2407, 7578, 13412, 38688, 11331, 6027, 1829, 30731, 4032, 9957, 4724, 16254, 34051, 36520, 8032, 1211, 4724, 28543, 2288, 5551, 24793, 1211, 49429, 4724, 28543, 2288, 8592, 5551, 24793, 1211], "avg_logprob": -0.2906526464276609, "compression_ratio": 1.736842105263158, "no_speech_prob": 0.0, "words": [{"start": 1694.72, "end": 1695.46, "word": "square", "probability": 0.5809326171875}, {"start": 1695.46, "end": 1695.82, "word": " matrix", "probability": 0.794921875}, {"start": 1695.82, "end": 1696.5, "word": " المصحوفة", "probability": 0.779345703125}, {"start": 1696.5, "end": 1697.1, "word": " مربعية", "probability": 0.771484375}, {"start": 1697.1, "end": 1697.28, "word": " و", "probability": 0.132080078125}, {"start": 1697.28, "end": 1697.6, "word": " complete", "probability": 0.421630859375}, {"start": 1697.6, "end": 1698.08, "word": " set", "probability": 0.939453125}, {"start": 1698.08, "end": 1698.64, "word": " of", "probability": 0.9609375}, {"start": 1698.64, "end": 1700.4, "word": " eigenvalues", "probability": 0.669921875}, {"start": 1700.4, "end": 1701.16, "word": " تعالى", "probability": 0.8658854166666666}, {"start": 1701.16, "end": 1701.66, "word": " نترجم", "probability": 0.906982421875}, {"start": 1701.66, "end": 1701.88, "word": " هذا", "probability": 0.86474609375}, {"start": 1701.88, "end": 1702.44, "word": " الكلام", "probability": 0.916015625}, {"start": 1702.44, "end": 1702.82, "word": " على", "probability": 0.87109375}, {"start": 1702.82, "end": 1703.34, "word": " أرض", "probability": 0.90087890625}, {"start": 1703.34, "end": 1704.12, "word": " الواقع", "probability": 0.9818115234375}, {"start": 1704.12, "end": 1705.1, "word": " المعطيني", "probability": 0.61275634765625}, {"start": 1705.1, "end": 1705.66, "word": " المصحوفة", "probability": 0.90400390625}, {"start": 1705.66, "end": 1705.9, "word": " وجالى", "probability": 0.5673828125}, {"start": 1705.9, "end": 1706.26, "word": " يشوف", "probability": 0.8885091145833334}, {"start": 1706.26, "end": 1706.44, "word": " لي", "probability": 0.62841796875}, {"start": 1706.44, "end": 1706.76, "word": " هل", "probability": 0.947021484375}, {"start": 1706.76, "end": 1707.1, "word": " هذه", "probability": 0.6474609375}, {"start": 1707.1, "end": 1708.3, "word": " diagonalizable", "probability": 0.5633544921875}, {"start": 1708.3, "end": 1709.06, "word": " ولا", "probability": 0.459716796875}, {"start": 1709.06, "end": 1709.44, "word": " not", "probability": 0.63671875}, {"start": 1709.44, "end": 1710.56, "word": " diagonalizable", "probability": 0.890380859375}, {"start": 1710.56, "end": 1711.06, "word": " إذا", "probability": 0.612060546875}, {"start": 1711.06, "end": 1711.74, "word": " بدي", "probability": 0.749755859375}, {"start": 1711.74, "end": 1712.18, "word": " أمشي", "probability": 0.9415283203125}, {"start": 1712.18, "end": 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"probability": 0.944091796875}, {"start": 2060.11, "end": 2060.79, "word": " تساوي", "probability": 0.9627685546875}, {"start": 2060.79, "end": 2064.21, "word": " 1010", "probability": 0.63916015625}, {"start": 2064.21, "end": 2066.07, "word": " تمام", "probability": 0.897216796875}], "temperature": 1.0}, {"id": 90, "seek": 208221, "start": 2068.06, "end": 2082.22, "text": "لو رجعنا ل a similar to b يقولنا if there exists a non singular matrix K such that تمام؟ بدنا نشوف هل هذه singular ولا non singular", "tokens": [1211, 2407, 12602, 7435, 3615, 8315, 5296, 257, 2531, 281, 272, 7251, 39648, 8315, 498, 456, 8198, 257, 2107, 20010, 8141, 591, 1270, 300, 46811, 10943, 22807, 47525, 8315, 8717, 8592, 38688, 8032, 1211, 29538, 20010, 49429, 2107, 20010], "avg_logprob": -0.3613281279802322, "compression_ratio": 1.2388059701492538, "no_speech_prob": 0.0, "words": [{"start": 2068.06, "end": 2068.48, "word": "لو", "probability": 0.6453857421875}, {"start": 2068.48, "end": 2068.94, "word": " رجعنا", "probability": 0.833984375}, {"start": 2068.94, "end": 2069.14, "word": " ل", "probability": 0.533203125}, {"start": 2069.14, "end": 2069.32, "word": " a", "probability": 0.1033935546875}, {"start": 2069.32, "end": 2070.08, "word": " similar", "probability": 0.76220703125}, {"start": 2070.08, "end": 2070.38, "word": " to", "probability": 0.63330078125}, {"start": 2070.38, "end": 2070.52, "word": " b", "probability": 0.794921875}, {"start": 2070.52, "end": 2071.0, "word": " يقولنا", "probability": 0.7140299479166666}, {"start": 2071.0, "end": 2071.24, "word": " if", "probability": 0.59814453125}, {"start": 2071.24, "end": 2071.6, "word": " there", "probability": 0.9169921875}, {"start": 2071.6, "end": 2072.24, "word": " exists", "probability": 0.62255859375}, {"start": 2072.24, "end": 2072.7, "word": " a", "probability": 0.96533203125}, {"start": 2072.7, "end": 2073.28, "word": " non", "probability": 0.873046875}, {"start": 2073.28, "end": 2074.2, "word": " singular", 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non", "probability": 0.94677734375}, {"start": 2081.3, "end": 2082.22, "word": " singular", "probability": 0.888671875}], "temperature": 1.0}, {"id": 91, "seek": 211262, "start": 2084.48, "end": 2112.62, "text": "يبقى احنا بنات هنا طلعنا المصوفة K تبعت ال eigenvectors على الشكل اللي عندنا هذا جينا اخدنا المحدد اللي لها وجينا المحدد اللي يساوي مين؟ Zero مدام المحدد Zero يعني ال K inverse does not exist لأن المصوفة اللي لها ماكوس هي المصوفة اللي محددها لا يساوي Zero تمام؟", "tokens": [1829, 3555, 4587, 7578, 1975, 5016, 8315, 4724, 8315, 2655, 34105, 23032, 1211, 3615, 8315, 9673, 9381, 38688, 3660, 591, 6055, 3555, 34268, 2423, 10446, 303, 5547, 15844, 25124, 28820, 13672, 1829, 43242, 8315, 23758, 10874, 1829, 8315, 1975, 9778, 3215, 8315, 9673, 24401, 3215, 13672, 1829, 5296, 11296, 49610, 1829, 8315, 9673, 24401, 3215, 13672, 1829, 7251, 3794, 995, 45865, 3714, 9957, 22807, 17182, 3714, 3215, 10943, 9673, 24401, 3215, 17182, 37495, 22653, 2423, 591, 17340, 775, 406, 2514, 5296, 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اللي", "probability": 0.94091796875}, {"start": 2108.98, "end": 2109.76, "word": " محددها", "probability": 0.9742431640625}, {"start": 2109.76, "end": 2110.08, "word": " لا", "probability": 0.80078125}, {"start": 2110.08, "end": 2111.04, "word": " يساوي", "probability": 0.9473876953125}, {"start": 2111.04, "end": 2111.74, "word": " Zero", "probability": 0.88525390625}, {"start": 2111.74, "end": 2112.62, "word": " تمام؟", "probability": 0.9044596354166666}], "temperature": 1.0}, {"id": 92, "seek": 212916, "start": 2112.76, "end": 2129.16, "text": "يساوي زي رويب جهدي مش موجودة، مدن مش موجودة، إذا لا يمكن تبقى المصوفة similar to a diagonal matrix أو المصوفة بقول عنها هي diagonalizable يعطيكوا العافية", "tokens": [1829, 3794, 995, 45865, 30767, 1829, 12602, 45865, 3555, 10874, 3224, 16254, 37893, 3714, 29245, 23328, 3660, 12399, 3714, 3215, 1863, 37893, 3714, 29245, 23328, 3660, 12399, 11933, 15730, 20193, 7251, 43020, 6055, 3555, 4587, 7578, 9673, 9381, 38688, 3660, 2531, 281, 257, 21539, 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