{"segments": [{"id": 1, "seek": 5006, "start": 20.74, "end": 50.06, "text": "بسم الله الرحمن الرحيم عودا على بدأ بجينا نتحدث المرة اللى فاتت عن ال diagonalization ل matrix واخدنا مجموعة من الأمثلة بدل المثال تلاتة بجينا نجيب ال eigen values و ال eigen vectors و نثبت هل المصفوفة اللى عندى diagonalizable ولا لأ طبعا عرفنا انه معناه ايه similar to B معناته انه في diagonalization لمن للمصفوفة A", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 23328, 995, 15844, 47525, 10721, 4724, 7435, 1829, 8315, 8717, 2655, 24401, 12984, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 18871, 2423, 21539, 2144, 5296, 8141, 4032, 47283, 3215, 8315, 3714, 7435, 2304, 2407, 27884, 9154, 16247, 2304, 12984, 37977, 47525, 1211, 9673, 12984, 6027, 6055, 1211, 9307, 3660, 4724, 7435, 1829, 8315, 8717, 7435, 1829, 3555, 2423, 10446, 4190, 4032, 2423, 10446, 18875, 4032, 8717, 12984, 3555, 2655, 8032, 1211, 9673, 9381, 5172, 38688, 3660, 13672, 7578, 43242, 7578, 21539, 22395, 49429, 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matrix K and diagonal ال matrix D بحيث أن ال K inverse A K بده يساوي من؟ بده يساوي دي مش هتعريف ال similar يبقى similar والله ديagonalizeهم الإتنين are the same نفس المفهوم بالضبط تماما", "tokens": [3555, 39648, 7251, 36178, 3224, 36145, 25961, 16247, 29973, 9122, 8848, 23275, 915, 257, 8141, 591, 9154, 2423, 8141, 591, 293, 21539, 2423, 8141, 413, 4724, 5016, 1829, 12984, 14739, 2423, 591, 17340, 316, 591, 47525, 3224, 7251, 3794, 995, 45865, 9154, 22807, 47525, 3224, 7251, 3794, 995, 45865, 11778, 1829, 37893, 8032, 2655, 3615, 16572, 5172, 2423, 2531, 7251, 3555, 4587, 7578, 2531, 16070, 43761, 11778, 1829, 6709, 304, 1125, 16095, 33688, 2655, 1863, 9957, 366, 264, 912, 8717, 36178, 9673, 5172, 3224, 20498, 20666, 11242, 3555, 9566, 46811, 10943, 995], "avg_logprob": -0.35954301716178977, "compression_ratio": 1.559090909090909, "no_speech_prob": 0.0, "words": [{"start": 102.46, "end": 102.78, "word": "بقول", "probability": 0.32989501953125}, {"start": 102.78, "end": 103.58, "word": 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8608, 6027, 3555, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 38637, 1211, 5718, 104, 37037, 8315, 472, 37037, 8315, 5296, 7649, 28259, 3175, 1451, 37037, 8315, 3175, 1045, 3175, 472], "avg_logprob": -0.39818549028006933, "compression_ratio": 1.8105263157894738, "no_speech_prob": 0.0, "words": [{"start": 193.59, "end": 193.99, "word": "بعد", "probability": 0.638671875}, {"start": 193.99, "end": 194.17, "word": " ذلك", "probability": 0.828857421875}, {"start": 194.17, "end": 194.41, "word": " لكي", "probability": 0.46484375}, {"start": 194.41, "end": 194.95, "word": " احصل", "probability": 0.560546875}, {"start": 194.95, "end": 194.99, "word": " على", "probability": 0.7919921875}, {"start": 194.99, "end": 195.29, "word": " الـ", "probability": 0.3956298828125}, {"start": 195.29, "end": 196.17, "word": " eigenvalues", "probability": 0.5067138671875}, {"start": 196.17, "end": 197.15, "word": " انا", "probability": 0.25701904296875}, {"start": 197.15, "end": 197.31, "word": " باخد", "probability": 0.5979817708333334}, {"start": 197.31, "end": 198.49, "word": " المحدد", "probability": 0.8575846354166666}, {"start": 198.49, "end": 199.11, "word": " لهذه", "probability": 0.914794921875}, {"start": 199.11, "end": 199.99, "word": " المصفوفة", "probability": 0.88203125}, {"start": 199.99, "end": 200.75, "word": " اذا", "probability": 0.776611328125}, {"start": 200.75, "end": 200.93, "word": " انا", "probability": 0.643310546875}, {"start": 200.93, "end": 201.87, "word": " باخد", "probability": 0.8199869791666666}, {"start": 201.87, "end": 202.21, "word": " ال", "probability": 0.47509765625}, {"start": 202.21, "end": 203.31, "word": " determinant", "probability": 0.666015625}, {"start": 203.31, "end": 204.89, "word": " لمين", "probability": 0.5396728515625}, {"start": 204.89, "end": 205.67, "word": " للاندا", "probability": 0.66754150390625}, {"start": 205.67, "end": 206.17, "word": " I", "probability": 0.497802734375}, {"start": 206.17, "end": 207.07, "word": " ناقص", "probability": 0.90380859375}, {"start": 207.07, "end": 207.31, "word": " ال", "probability": 0.705078125}, {"start": 207.31, "end": 207.69, "word": " A", "probability": 0.394287109375}, {"start": 207.69, "end": 208.55, "word": " وهو", "probability": 0.713623046875}, {"start": 208.55, "end": 209.99, "word": " المحدد", "probability": 0.98876953125}, {"start": 209.99, "end": 210.69, "word": " لاندا", "probability": 0.7159016927083334}, {"start": 210.69, "end": 211.13, "word": " minus", "probability": 0.254150390625}, {"start": 211.13, "end": 211.77, "word": " one", "probability": 0.61181640625}, {"start": 211.77, "end": 212.71, "word": " سالب", "probability": 0.68310546875}, {"start": 212.71, "end": 213.27, "word": " اتنين", "probability": 0.972412109375}, {"start": 213.27, "end": 213.87, "word": " سالب", "probability": 0.9645182291666666}, {"start": 213.87, "end": 214.45, "word": " ثلاث", "probability": 0.846923828125}, {"start": 214.45, "end": 215.53, "word": " وهنا", "probability": 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اللي عندنا باستخدام مثلا عناصر الصف الأول يبقى باجي بقول هذا الكلام بدي يسوى lambda minus one", "tokens": [1353, 13607, 1804, 472, 23758, 9673, 24401, 3215, 4724, 16254, 1975, 5016, 35457, 12174, 32640, 3660, 23758, 9673, 24401, 3215, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 5172, 4117, 9673, 24401, 3215, 13672, 1829, 43242, 8315, 4724, 995, 14851, 9778, 3215, 10943, 50113, 15040, 18871, 33546, 2288, 31767, 5172, 16247, 12610, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 23758, 2423, 28820, 10943, 4724, 16254, 7251, 3794, 2407, 7578, 13607, 3175, 472], "avg_logprob": -0.287373302353395, "compression_ratio": 1.6932515337423313, "no_speech_prob": 0.0, "words": [{"start": 221.85, "end": 222.27, "word": "to", "probability": 0.0361328125}, {"start": 222.27, "end": 223.29, "word": " lambda", "probability": 0.458251953125}, {"start": 223.29, "end": 224.17, "word": " plus", "probability": 0.541015625}, {"start": 224.17, "end": 225.01, "word": " one", "probability": 0.87109375}, 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0.851318359375}, {"start": 232.97, "end": 233.25, "word": " عندنا", "probability": 0.697265625}, {"start": 233.25, "end": 233.95, "word": " باستخدام", "probability": 0.9735514322916666}, {"start": 233.95, "end": 234.81, "word": " مثلا", "probability": 0.94482421875}, {"start": 234.81, "end": 235.95, "word": " عناصر", "probability": 0.97021484375}, {"start": 235.95, "end": 236.89, "word": " الصف", "probability": 0.708984375}, {"start": 236.89, "end": 237.59, "word": " الأول", "probability": 0.89306640625}, {"start": 237.59, "end": 238.33, "word": " يبقى", "probability": 0.8778076171875}, {"start": 238.33, "end": 238.63, "word": " باجي", "probability": 0.8595377604166666}, {"start": 238.63, "end": 239.01, "word": " بقول", "probability": 0.945556640625}, {"start": 239.01, "end": 239.33, "word": " هذا", "probability": 0.96484375}, {"start": 239.33, "end": 239.89, "word": " الكلام", "probability": 0.9235026041666666}, {"start": 239.89, "end": 240.21, "word": " بدي", "probability": 0.763671875}, {"start": 240.21, "end": 240.71, "word": " يسوى", "probability": 0.67919921875}, {"start": 240.71, "end": 241.35, "word": " lambda", "probability": 0.59521484375}, {"start": 241.35, "end": 242.13, "word": " minus", "probability": 0.953125}, {"start": 242.13, "end": 242.77, "word": " one", "probability": 0.9375}], "temperature": 1.0}, {"id": 10, "seek": 26039, "start": 243.42, "end": 260.4, "text": "يبقى لاندا minus one في المحدد الأصغر المناظر له اللاندا minus four مضروبة في لاندا plus one minus مع minus بصير زائد ستة", "tokens": [1829, 3555, 4587, 7578, 5296, 7649, 28259, 3175, 472, 8978, 9673, 24401, 3215, 16247, 9381, 17082, 2288, 9673, 1863, 5718, 116, 2288, 46740, 13672, 7649, 28259, 3175, 1451, 3714, 11242, 32887, 49401, 8978, 5296, 7649, 28259, 1804, 472, 3175, 20449, 3175, 4724, 9381, 13546, 30767, 16373, 3215, 8608, 2655, 3660], "avg_logprob": -0.17631740546693989, "compression_ratio": 1.488, "no_speech_prob": 0.0, "words": [{"start": 243.42, "end": 244.16, "word": "يبقى", "probability": 0.8707275390625}, {"start": 244.16, "end": 244.78, "word": " لاندا", "probability": 0.5454915364583334}, {"start": 244.78, "end": 245.86, "word": " minus", "probability": 0.1693115234375}, {"start": 245.86, "end": 246.4, "word": " one", "probability": 0.84619140625}, {"start": 246.4, "end": 247.04, "word": " في", "probability": 0.9013671875}, {"start": 247.04, "end": 248.42, "word": " المحدد", "probability": 0.9581705729166666}, {"start": 248.42, "end": 249.06, "word": " الأصغر", "probability": 0.96484375}, {"start": 249.06, "end": 249.84, "word": " المناظر", "probability": 0.87216796875}, {"start": 249.84, "end": 250.2, "word": " له", "probability": 0.92919921875}, {"start": 250.2, "end": 251.32, "word": " اللاندا", "probability": 0.7859700520833334}, {"start": 251.32, "end": 252.0, "word": " minus", "probability": 0.84423828125}, {"start": 252.0, "end": 252.84, "word": " four", "probability": 0.92919921875}, {"start": 252.84, "end": 254.2, "word": " مضروبة", "probability": 0.952392578125}, {"start": 254.2, "end": 254.46, "word": " في", "probability": 0.93896484375}, {"start": 254.46, "end": 255.0, "word": " لاندا", "probability": 0.9142252604166666}, {"start": 255.0, "end": 255.64, "word": " plus", "probability": 0.94970703125}, {"start": 255.64, "end": 256.32, "word": " one", "probability": 0.95654296875}, {"start": 256.32, "end": 257.42, "word": " minus", "probability": 0.39306640625}, {"start": 257.42, "end": 257.72, "word": " مع", "probability": 0.9169921875}, {"start": 257.72, "end": 258.14, "word": " minus", "probability": 0.8388671875}, {"start": 258.14, "end": 258.74, "word": " بصير", "probability": 0.9070638020833334}, {"start": 258.74, "end": 259.68, "word": " زائد", "probability": 0.8893229166666666}, {"start": 259.68, "end": 260.4, "word": " ستة", "probability": 0.9661458333333334}], "temperature": 1.0}, {"id": 11, "seek": 29058, "start": 261.17, "end": 290.59, "text": "العنصر اللي بعده حسب قطع الإشارات شرطه موجبة يبقى زائد اتنين في نشطه بصفه و عموده يبقى لاندا plus one minus three يبقى لاندا plus one minus three اللي بعده minus three فيه نشطه بصفه و عموده يبقى اتنين minus مع minus بصير زائد لاندا minus four", "tokens": [6027, 3615, 1863, 9381, 2288, 13672, 1829, 39182, 3224, 11331, 35457, 12174, 9566, 3615, 33688, 8592, 9640, 9307, 13412, 2288, 9566, 3224, 3714, 29245, 49401, 7251, 3555, 4587, 7578, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 8978, 8717, 8592, 9566, 3224, 4724, 9381, 5172, 3224, 4032, 6225, 2304, 23328, 3224, 7251, 3555, 4587, 7578, 5296, 7649, 28259, 1804, 472, 3175, 1045, 7251, 3555, 4587, 7578, 5296, 7649, 28259, 1804, 472, 3175, 1045, 13672, 1829, 39182, 3224, 3175, 1045, 8978, 3224, 8717, 8592, 9566, 3224, 4724, 9381, 5172, 3224, 4032, 6225, 2304, 23328, 3224, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 3175, 20449, 3175, 4724, 9381, 13546, 30767, 16373, 3215, 5296, 7649, 28259, 3175, 1451], "avg_logprob": -0.11240571062883427, "compression_ratio": 2.0833333333333335, 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for the eigen vector space", "tokens": [9566, 3555, 1975, 1829, 8592, 4724, 1829, 39648, 20292, 50239, 20292, 8032, 2655, 1211, 2655, 10139, 24976, 10446, 8062, 1901, 7251, 3555, 4587, 7578, 23758, 2423, 8062, 13672, 1829, 31439, 9154, 36764, 24401, 36764, 24401, 8608, 6027, 3555, 36764, 24401, 307, 257, 5143, 337, 264, 10446, 8062, 1901], "avg_logprob": -0.3510841836734694, "compression_ratio": 1.467153284671533, "no_speech_prob": 0.0, "words": [{"start": 823.63, "end": 823.93, "word": "طب", "probability": 0.46185302734375}, {"start": 823.93, "end": 824.13, "word": " ايش", "probability": 0.7378743489583334}, {"start": 824.13, "end": 824.65, "word": " بيقوللي", "probability": 0.75634765625}, {"start": 824.65, "end": 824.97, "word": " قاللي", "probability": 0.621826171875}, {"start": 824.97, "end": 825.53, "word": " هتلت", "probability": 0.589599609375}, {"start": 825.53, "end": 826.05, "word": " dimension", "probability": 0.2763671875}, {"start": 826.05, "end": 826.43, "word": " لل", 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since", "probability": 0.61669921875}, {"start": 1162.48, "end": 1164.28, "word": " the", "probability": 0.75927734375}, {"start": 1164.28, "end": 1165.58, "word": " two", "probability": 0.9404296875}, {"start": 1165.58, "end": 1166.78, "word": " vectors", "probability": 0.9677734375}, {"start": 1166.78, "end": 1169.02, "word": " اللي", "probability": 0.9189453125}, {"start": 1169.02, "end": 1169.42, "word": " هم", "probability": 0.759521484375}, {"start": 1169.42, "end": 1170.16, "word": " اتنين", "probability": 0.800628662109375}, {"start": 1170.16, "end": 1171.08, "word": " واحد", "probability": 0.87890625}, {"start": 1171.08, "end": 1172.18, "word": " زيرو", "probability": 0.83740234375}, {"start": 1172.18, "end": 1176.66, "word": " وتلاتة", "probability": 0.791259765625}, {"start": 1176.66, "end": 1177.44, "word": " زيرو", "probability": 0.8728841145833334}, {"start": 1177.44, "end": 1178.46, "word": " واحد", "probability": 0.984130859375}, {"start": 1178.46, "end": 1179.86, "word": " are", "probability": 0.8251953125}, {"start": 1179.86, "end": 1181.36, "word": " linearly", "probability": 0.95654296875}, {"start": 1181.36, "end": 1182.46, "word": " independent", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 49, "seek": 120983, "start": 1183.24, "end": 1209.84, "text": "because anyone is not multiple of the other we have انه ده set اللي هي main", "tokens": [17566, 2878, 307, 406, 3866, 295, 264, 661, 321, 362, 16472, 3224, 11778, 3224, 992, 13672, 1829, 39896, 2135], "avg_logprob": -0.3156250134110451, "compression_ratio": 1.0238095238095237, "no_speech_prob": 0.0, "words": [{"start": 1183.24, "end": 1183.84, "word": "because", "probability": 0.3291015625}, {"start": 1183.84, "end": 1186.74, "word": " anyone", "probability": 0.7138671875}, {"start": 1186.74, "end": 1189.48, "word": " is", "probability": 0.935546875}, {"start": 1189.48, "end": 1191.44, "word": " not", "probability": 0.9521484375}, {"start": 1191.44, "end": 1193.98, "word": " multiple", "probability": 0.91455078125}, {"start": 1193.98, "end": 1196.9, "word": " of", "probability": 0.98046875}, {"start": 1196.9, "end": 1198.42, "word": " the", "probability": 0.86279296875}, {"start": 1198.42, "end": 1200.06, "word": " other", "probability": 0.87841796875}, {"start": 1200.06, "end": 1201.54, "word": " we", "probability": 0.56787109375}, {"start": 1201.54, "end": 1203.94, "word": " have", "probability": 0.95947265625}, {"start": 1203.94, "end": 1205.94, "word": " انه", "probability": 0.548828125}, {"start": 1205.94, "end": 1206.12, "word": " ده", "probability": 0.638916015625}, {"start": 1206.12, "end": 1206.64, "word": " set", "probability": 0.642578125}, {"start": 1206.64, "end": 1209.3, "word": " اللي", "probability": 0.894287109375}, {"start": 1209.3, "end": 1209.52, "word": " هي", "probability": 0.630859375}, {"start": 1209.52, "end": 1209.84, "word": " main", "probability": 0.8056640625}], "temperature": 1.0}, {"id": 50, "seek": 123835, "start": 1210.7, "end": 1238.36, "text": "اتنين واحد وزيرو والعنصر التاني تلاتة زيرو واحد is a basis for the eigen vector space corresponding", "tokens": [995, 2655, 1863, 9957, 36764, 24401, 4032, 11622, 13546, 2407, 16070, 3615, 1863, 9381, 2288, 16712, 7649, 1829, 6055, 1211, 9307, 3660, 30767, 13546, 2407, 36764, 24401, 307, 257, 5143, 337, 264, 10446, 8062, 1901, 11760], "avg_logprob": -0.25506758045505834, "compression_ratio": 1.1982758620689655, "no_speech_prob": 0.0, "words": [{"start": 1210.7, "end": 1211.56, "word": "اتنين", "probability": 0.6654052734375}, {"start": 1211.56, "end": 1212.48, "word": " واحد", "probability": 0.860595703125}, {"start": 1212.48, "end": 1213.44, "word": " وزيرو", "probability": 0.7060546875}, {"start": 1213.44, "end": 1214.52, "word": " والعنصر", "probability": 0.820703125}, {"start": 1214.52, "end": 1215.16, "word": " التاني", "probability": 0.9215494791666666}, {"start": 1215.16, "end": 1216.38, "word": " تلاتة", "probability": 0.9061279296875}, {"start": 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{"start": 1488.83, "end": 1489.55, "word": " زيرو", "probability": 0.8326822916666666}, {"start": 1489.55, "end": 1491.07, "word": " تلاتة", "probability": 0.8782958984375}, {"start": 1491.07, "end": 1491.83, "word": " زيرو", "probability": 0.9305013020833334}, {"start": 1491.83, "end": 1492.89, "word": " واحد", "probability": 0.986083984375}, {"start": 1492.89, "end": 1493.97, "word": " is", "probability": 0.787109375}, {"start": 1493.97, "end": 1495.23, "word": " the", "probability": 0.8779296875}, {"start": 1495.23, "end": 1497.57, "word": " complete", "probability": 0.85791015625}, {"start": 1497.57, "end": 1499.07, "word": " set", "probability": 0.96337890625}, {"start": 1499.07, "end": 1500.71, "word": " of", "probability": 0.984375}, {"start": 1500.71, "end": 1502.69, "word": " eigen", "probability": 0.68408203125}, {"start": 1502.69, "end": 1505.05, "word": " vectors", "probability": 0.63671875}], "temperature": 1.0}, {"id": 61, "seek": 153764, "start": 1511.12, "end": 1537.64, "text": "يبقى sense بما ان number of these vectors is three and the degree of the", "tokens": [1829, 3555, 4587, 7578, 2020, 4724, 15042, 16472, 1230, 295, 613, 18875, 307, 1045, 293, 264, 4314, 295, 264], "avg_logprob": -0.3023437574505806, "compression_ratio": 1.0384615384615385, "no_speech_prob": 0.0, "words": [{"start": 1511.12, "end": 1511.76, "word": "يبقى", "probability": 0.9132080078125}, {"start": 1511.76, "end": 1512.38, "word": " sense", "probability": 0.2900390625}, {"start": 1512.38, "end": 1513.16, "word": " بما", "probability": 0.945068359375}, {"start": 1513.16, "end": 1513.68, "word": " ان", "probability": 0.67138671875}, {"start": 1513.68, "end": 1515.56, "word": " number", "probability": 0.6357421875}, {"start": 1515.56, "end": 1518.7, "word": " of", "probability": 0.919921875}, {"start": 1518.7, "end": 1521.12, "word": " these", "probability": 0.7119140625}, {"start": 1521.12, "end": 1523.24, "word": " vectors", "probability": 0.94677734375}, {"start": 1523.24, 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جلدتين هدول are similar", "tokens": [3794, 33604, 6027, 3714, 25720, 38637, 7649, 10632, 21136, 33604, 6027, 4724, 1829, 39648, 45164, 25961, 2655, 2423, 316, 4032, 2423, 363, 366, 2531, 32284, 23032, 3555, 3615, 995, 1975, 5016, 8315, 5551, 9778, 3215, 8315, 11203, 995, 28671, 9673, 25720, 12174, 36150, 9673, 46958, 1829, 45164, 25961, 316, 2531, 281, 363, 7251, 3555, 4587, 7578, 363, 2531, 281, 316, 4032, 5551, 12984, 3555, 2655, 8315, 11296, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 16247, 1863, 10874, 1211, 3215, 2655, 9957, 8032, 3215, 12610, 366, 2531], "avg_logprob": -0.27686094701959846, "compression_ratio": 1.6868131868131868, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2141.12, "end": 2142.0, "word": "سؤال", "probability": 0.6145833333333334}, {"start": 2142.0, "end": 2142.88, "word": " مرة", "probability": 0.81201171875}, {"start": 2142.88, "end": 2143.66, "word": " ثانية", "probability": 0.7550455729166666}, {"start": 2143.66, "end": 2144.44, "word": " السؤال", "probability": 0.7784016927083334}, {"start": 2144.44, "end": 2145.02, "word": " بيقول", "probability": 0.7092692057291666}, {"start": 2145.02, "end": 2146.08, "word": " لو", "probability": 0.45068359375}, {"start": 2146.08, "end": 2146.56, "word": " كانت", "probability": 0.9013671875}, {"start": 2146.56, "end": 2146.72, "word": " ال", "probability": 0.82763671875}, {"start": 2146.72, "end": 2146.86, "word": " A", "probability": 0.451416015625}, {"start": 2146.86, "end": 2147.04, "word": " و", "probability": 0.7490234375}, {"start": 2147.04, "end": 2147.14, "word": " ال", "probability": 0.3427734375}, {"start": 2147.14, "end": 2147.34, "word": " B", "probability": 0.93994140625}, {"start": 2147.34, "end": 2147.72, "word": " are", "probability": 0.55322265625}, {"start": 2147.72, "end": 2148.48, "word": " similar", "probability": 0.95068359375}, {"start": 2148.48, "end": 2149.58, "word": " matrices", "probability": 0.900390625}, {"start": 2149.58, "end": 2150.0, "word": " طبعا", "probability": 0.848876953125}, {"start": 2150.0, "end": 2150.22, "word": " احنا", "probability": 0.8802083333333334}, {"start": 2150.22, "end": 2150.84, "word": " أخدنا", "probability": 0.75469970703125}, {"start": 2150.84, "end": 2151.88, "word": " علاقة", "probability": 0.9659830729166666}, {"start": 2151.88, "end": 2152.44, "word": " المرة", "probability": 0.832763671875}, {"start": 2152.44, "end": 2152.82, "word": " قبل", "probability": 0.9775390625}, {"start": 2152.82, "end": 2153.16, "word": " الماضي", "probability": 0.87841796875}, {"start": 2153.16, "end": 2153.36, "word": " لو", "probability": 0.8251953125}, {"start": 2153.36, "end": 2153.66, "word": " كان", "probability": 0.98388671875}, {"start": 2153.66, "end": 2153.98, "word": " A", "probability": 0.84619140625}, {"start": 2153.98, "end": 2154.54, "word": " similar", "probability": 0.755859375}, {"start": 2154.54, "end": 2154.84, "word": " to", "probability": 0.93701171875}, {"start": 2154.84, "end": 2155.08, "word": " B", "probability": 0.95703125}, {"start": 2155.08, "end": 2155.42, "word": " يبقى", "probability": 0.9140625}, {"start": 2155.42, "end": 2155.88, "word": " B", "probability": 0.76806640625}, {"start": 2155.88, "end": 2156.74, "word": " similar", "probability": 0.845703125}, {"start": 2156.74, "end": 2157.02, "word": " to", "probability": 0.6552734375}, {"start": 2157.02, "end": 2157.1, "word": " A", "probability": 0.94677734375}, {"start": 2157.1, "end": 2157.24, "word": " و", "probability": 0.79638671875}, {"start": 2157.24, "end": 2157.94, "word": " أثبتناها", "probability": 0.9624837239583334}, {"start": 2157.94, "end": 2158.48, "word": " مظبوط", "probability": 0.7994140625}, {"start": 2158.48, "end": 2159.02, "word": " يبقى", "probability": 0.8587646484375}, {"start": 2159.02, "end": 2159.26, "word": " الأن", "probability": 0.6195068359375}, {"start": 2159.26, "end": 2159.94, "word": " جلدتين", "probability": 0.688525390625}, {"start": 2159.94, "end": 2160.58, "word": " هدول", "probability": 0.6040852864583334}, {"start": 2160.58, "end": 2160.98, "word": " are", "probability": 0.8623046875}, {"start": 2160.98, "end": 2161.82, "word": " similar", "probability": 0.95556640625}], "temperature": 1.0}, {"id": 87, "seek": 219167, "start": 2163.01, "end": 2191.67, "text": "يعني ايه؟ يعني ان الـP بدى يسوي K inverse AK طيب أصبحت هذه معلومة عندنا بيقول شوية بيه لإن ال X is an eigen value ل A إيه فندقول إذا K inverse X is an eigen vector ل A إيه فندقول إذا K inverse X is an eigen vector لمين لبين يبقى هذا سؤال والله سؤالين", "tokens": [40228, 22653, 1975, 1829, 3224, 22807, 37495, 22653, 16472, 2423, 39184, 47, 47525, 7578, 7251, 3794, 45865, 591, 17340, 24789, 23032, 1829, 3555, 5551, 9381, 3555, 33753, 29538, 20449, 1211, 20498, 3660, 43242, 8315, 4724, 1829, 39648, 13412, 2407, 10632, 4724, 1829, 3224, 5296, 28814, 1863, 2423, 1783, 307, 364, 10446, 2158, 5296, 316, 11933, 1829, 3224, 6156, 41260, 39648, 11933, 15730, 591, 17340, 1783, 307, 364, 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0.78515625}, {"start": 2167.29, "end": 2168.17, "word": " inverse", "probability": 0.5078125}, {"start": 2168.17, "end": 2169.15, "word": " AK", "probability": 0.671875}, {"start": 2169.15, "end": 2170.25, "word": " طيب", "probability": 0.687255859375}, {"start": 2170.25, "end": 2171.09, "word": " أصبحت", "probability": 0.74359130859375}, {"start": 2171.09, "end": 2171.39, "word": " هذه", "probability": 0.6953125}, {"start": 2171.39, "end": 2172.11, "word": " معلومة", "probability": 0.9627685546875}, {"start": 2172.11, "end": 2172.87, "word": " عندنا", "probability": 0.974365234375}, {"start": 2172.87, "end": 2173.45, "word": " بيقول", "probability": 0.81396484375}, {"start": 2173.45, "end": 2173.93, "word": " شوية", "probability": 0.6298828125}, {"start": 2173.93, "end": 2174.55, "word": " بيه", "probability": 0.46728515625}, {"start": 2174.55, "end": 2174.75, "word": " لإن", "probability": 0.7234700520833334}, {"start": 2174.75, "end": 2174.93, "word": " ال", "probability": 0.4755859375}, {"start": 2174.93, "end": 2175.17, "word": " X", "probability": 0.74169921875}, {"start": 2175.17, "end": 2175.57, "word": " is", "probability": 0.814453125}, {"start": 2175.57, "end": 2175.97, "word": " an", "probability": 0.85791015625}, {"start": 2175.97, "end": 2176.45, "word": " eigen", "probability": 0.84228515625}, {"start": 2176.45, "end": 2177.17, "word": " value", "probability": 0.488037109375}, {"start": 2177.17, "end": 2177.45, "word": " ل", "probability": 0.93994140625}, {"start": 2177.45, "end": 2177.85, "word": " A", "probability": 0.4423828125}, {"start": 2177.85, "end": 2178.45, "word": " إيه", "probability": 0.5937906901041666}, {"start": 2178.45, "end": 2178.95, "word": " فندقول", "probability": 0.5619303385416666}, {"start": 2178.95, "end": 2179.41, "word": " إذا", "probability": 0.520263671875}, {"start": 2179.41, "end": 2179.79, "word": " K", "probability": 0.8154296875}, {"start": 2179.79, "end": 2180.27, "word": " inverse", "probability": 0.85888671875}, {"start": 2180.27, "end": 2180.51, "word": " X", "probability": 0.9794921875}, {"start": 2180.51, "end": 2180.73, "word": " is", "probability": 0.8828125}, {"start": 2180.73, "end": 2181.01, "word": " an", "probability": 0.84326171875}, {"start": 2181.01, "end": 2181.33, "word": " eigen", "probability": 0.923828125}, {"start": 2181.33, "end": 2181.95, "word": " vector", "probability": 0.91015625}, {"start": 2181.95, "end": 2184.37, "word": " ل", "probability": 0.314453125}, {"start": 2184.37, "end": 2184.77, "word": " A", "probability": 0.1143798828125}, {"start": 2184.77, "end": 2184.89, "word": " إيه", "probability": 0.77490234375}, {"start": 2184.89, "end": 2185.23, "word": " فندقول", "probability": 0.89013671875}, {"start": 2185.23, "end": 2185.45, "word": " إذا", "probability": 0.868408203125}, {"start": 2185.45, "end": 2185.73, "word": " K", "probability": 0.96826171875}, {"start": 2185.73, "end": 2186.03, "word": " inverse", "probability": 0.81103515625}, {"start": 2186.03, "end": 2186.49, "word": " X", "probability": 0.994140625}, {"start": 2186.49, "end": 2186.75, "word": " is", "probability": 0.9248046875}, {"start": 2186.75, "end": 2187.21, "word": " an", "probability": 0.88623046875}, {"start": 2187.21, "end": 2187.93, "word": " eigen", "probability": 0.9462890625}, {"start": 2187.93, "end": 2188.41, "word": " vector", "probability": 0.96435546875}, {"start": 2188.41, "end": 2188.95, "word": " لمين", "probability": 0.6887613932291666}, {"start": 2188.95, "end": 2189.59, "word": " لبين", "probability": 0.7379557291666666}, {"start": 2189.59, "end": 2190.25, "word": " يبقى", "probability": 0.8770751953125}, {"start": 2190.25, "end": 2190.45, "word": " هذا", "probability": 0.6025390625}, {"start": 2190.45, "end": 2190.77, "word": " سؤال", "probability": 0.8582356770833334}, {"start": 2190.77, "end": 2191.01, "word": " والله", "probability": 0.755859375}, {"start": 2191.01, "end": 2191.67, "word": " سؤالين", "probability": 0.9898681640625}], "temperature": 1.0}, {"id": 88, "seek": 221506, "start": 2192.74, "end": 2215.06, "text": "سؤالين بدى امشك واحد واصله لمين للثانى و بعدين امشك الثانى واصله لمين للأول السبب كلمة if and only if ده يبقى الآن بداجي بالخطوة الأولى let ال a be similar to b then", "tokens": [3794, 33604, 6027, 9957, 47525, 7578, 1975, 2304, 8592, 4117, 36764, 24401, 4032, 33546, 43761, 32767, 9957, 24976, 12984, 7649, 7578, 4032, 39182, 9957, 1975, 2304, 8592, 4117, 6024, 104, 7649, 7578, 4032, 33546, 43761, 32767, 9957, 24976, 10721, 12610, 21136, 3555, 3555, 9122, 19528, 3660, 498, 293, 787, 498, 11778, 3224, 7251, 3555, 4587, 7578, 6024, 48506, 47525, 26108, 1829, 20666, 9778, 9566, 2407, 3660, 16247, 12610, 7578, 718, 2423, 257, 312, 2531, 281, 272, 550], "avg_logprob": -0.2620192288588255, "compression_ratio": 1.5833333333333333, "no_speech_prob": 0.0, "words": [{"start": 2192.74, "end": 2193.4, "word": "سؤالين", "probability": 0.7901611328125}, {"start": 2193.4, "end": 2193.66, "word": " بدى", "probability": 0.375732421875}, {"start": 2193.66, "end": 2194.0, "word": " امشك", "probability": 0.81060791015625}, {"start": 2194.0, "end": 2194.32, "word": " واحد", "probability": 0.965087890625}, {"start": 2194.32, "end": 2194.7, "word": " واصله", "probability": 0.8006184895833334}, {"start": 2194.7, "end": 2194.96, "word": " لمين", "probability": 0.709716796875}, {"start": 2194.96, "end": 2195.74, "word": " للثانى", "probability": 0.83447265625}, {"start": 2195.74, "end": 2196.14, "word": " و", "probability": 0.814453125}, {"start": 2196.14, "end": 2196.34, "word": " بعدين", "probability": 0.73486328125}, {"start": 2196.34, "end": 2196.74, "word": " امشك", "probability": 0.953125}, {"start": 2196.74, "end": 2197.04, "word": " الثانى", "probability": 0.8482666015625}, {"start": 2197.04, "end": 2197.44, "word": " واصله", "probability": 0.9093424479166666}, {"start": 2197.44, "end": 2197.98, "word": " لمين", "probability": 0.784912109375}, {"start": 2197.98, "end": 2198.66, "word": " للأول", "probability": 0.81640625}, {"start": 2198.66, "end": 2199.24, "word": " السبب", "probability": 0.8834635416666666}, {"start": 2199.24, "end": 2199.78, "word": " كلمة", "probability": 0.92578125}, {"start": 2199.78, "end": 2200.12, "word": " if", "probability": 0.476318359375}, {"start": 2200.12, "end": 2200.56, "word": " and", "probability": 0.947265625}, {"start": 2200.56, "end": 2201.02, "word": " only", "probability": 0.9033203125}, {"start": 2201.02, "end": 2201.5, "word": " if", "probability": 0.96484375}, {"start": 2201.5, "end": 2201.94, "word": " ده", "probability": 0.5758056640625}, {"start": 2201.94, "end": 2202.94, "word": " يبقى", "probability": 0.9364013671875}, {"start": 2202.94, "end": 2203.26, "word": " الآن", "probability": 0.62060546875}, {"start": 2203.26, "end": 2203.78, "word": " بداجي", "probability": 0.5198567708333334}, {"start": 2203.78, "end": 2204.56, "word": " بالخطوة", "probability": 0.9484375}, {"start": 2204.56, "end": 2205.84, "word": " الأولى", "probability": 0.9230143229166666}, {"start": 2205.84, "end": 2206.68, "word": " let", "probability": 0.75146484375}, {"start": 2206.68, "end": 2207.74, "word": " ال", "probability": 0.85400390625}, {"start": 2207.74, "end": 2208.22, "word": " a", "probability": 0.64990234375}, {"start": 2208.22, "end": 2209.34, "word": " be", "probability": 0.86181640625}, {"start": 2209.34, "end": 2210.8, "word": " similar", "probability": 0.91748046875}, {"start": 2210.8, "end": 2212.6, "word": " to", "probability": 0.9853515625}, {"start": 2212.6, "end": 2213.66, "word": " b", "probability": 0.9287109375}, {"start": 2213.66, "end": 2215.06, "word": " then", "probability": 0.83642578125}], "temperature": 1.0}, {"id": 89, "seek": 223761, "start": 2216.23, "end": 2237.61, "text": "There exists a non-zero matrix K such that بحيث أن الـ B بده يساوي الـ K inverse AK المعطى", "tokens": [51, 6703, 8198, 257, 2107, 12, 32226, 8141, 591, 1270, 300, 4724, 5016, 1829, 12984, 14739, 2423, 39184, 363, 47525, 3224, 7251, 3794, 995, 45865, 2423, 39184, 591, 17340, 24789, 9673, 3615, 9566, 7578], "avg_logprob": -0.3861607279096331, "compression_ratio": 1.0357142857142858, "no_speech_prob": 0.0, "words": [{"start": 2216.23, "end": 2216.79, "word": "There", "probability": 0.346343994140625}, {"start": 2216.79, "end": 2217.57, "word": " exists", "probability": 0.67138671875}, {"start": 2217.57, "end": 2218.39, "word": " a", "probability": 0.83056640625}, {"start": 2218.39, "end": 2219.43, "word": " non", "probability": 0.91552734375}, {"start": 2219.43, "end": 2220.93, "word": "-zero", "probability": 0.727783203125}, {"start": 2220.93, "end": 2222.87, "word": " matrix", "probability": 0.9287109375}, {"start": 2222.87, "end": 2224.51, "word": " K", "probability": 0.84130859375}, {"start": 2224.51, "end": 2226.35, "word": " such", "probability": 0.783203125}, {"start": 2226.35, "end": 2227.47, "word": " that", "probability": 0.95703125}, {"start": 2227.47, "end": 2228.49, "word": " بحيث", "probability": 0.79412841796875}, {"start": 2228.49, "end": 2228.99, "word": " أن", "probability": 0.45654296875}, {"start": 2228.99, "end": 2230.31, "word": " الـ", "probability": 0.43994140625}, {"start": 2230.31, "end": 2230.73, "word": " B", "probability": 0.453125}, {"start": 2230.73, "end": 2231.75, "word": " بده", "probability": 0.4794921875}, {"start": 2231.75, "end": 2232.57, "word": " يساوي", "probability": 0.9583740234375}, {"start": 2232.57, "end": 2233.37, "word": " الـ", "probability": 0.507568359375}, {"start": 2233.37, "end": 2233.87, "word": " K", "probability": 0.84423828125}, {"start": 2233.87, "end": 2234.97, "word": " inverse", "probability": 0.78076171875}, {"start": 2234.97, "end": 2235.89, "word": " AK", "probability": 0.72412109375}, {"start": 2235.89, "end": 2237.61, "word": " المعطى", "probability": 0.8082275390625}], "temperature": 1.0}, {"id": 90, "seek": 226359, "start": 2238.77, "end": 2263.59, "text": "يبقى حتى لان انا بس اتجمد الشي المقطع عندي خطوة تانية بدي افترض ان X عبارة عن مين عن Eigen vector لمن للمصفوف A يبقى ا assume that ان X is an Eigen vector", "tokens": [1829, 3555, 4587, 7578, 11331, 49975, 5296, 7649, 1975, 8315, 4724, 3794, 1975, 2655, 7435, 2304, 3215, 25124, 1829, 9673, 47432, 3615, 18871, 16254, 16490, 9566, 2407, 3660, 6055, 7649, 10632, 4724, 16254, 1975, 5172, 2655, 43042, 16472, 1783, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 18871, 30586, 8062, 5296, 27842, 5296, 19528, 9381, 5172, 38688, 316, 7251, 3555, 4587, 7578, 1975, 6552, 300, 16472, 1783, 307, 364, 30586, 8062], "avg_logprob": -0.34705106641205263, "compression_ratio": 1.4390243902439024, "no_speech_prob": 0.0, "words": [{"start": 2238.77, "end": 2239.21, "word": "يبقى", "probability": 0.679595947265625}, {"start": 2239.21, "end": 2239.63, "word": " حتى", "probability": 0.88916015625}, {"start": 2239.63, "end": 2239.97, "word": " لان", "probability": 0.4271240234375}, {"start": 2239.97, "end": 2240.13, "word": " انا", "probability": 0.81201171875}, {"start": 2240.13, "end": 2240.41, "word": " بس", "probability": 0.7998046875}, {"start": 2240.41, "end": 2240.97, "word": " اتجمد", "probability": 0.74970703125}, {"start": 2240.97, "end": 2241.37, "word": " الشي", "probability": 0.829345703125}, {"start": 2241.37, "end": 2242.25, "word": " المقطع", "probability": 0.6142171223958334}, {"start": 2242.25, "end": 2242.81, "word": " عندي", "probability": 0.899658203125}, {"start": 2242.81, "end": 2244.71, "word": " خطوة", "probability": 0.87451171875}, {"start": 2244.71, "end": 2245.23, "word": " تانية", "probability": 0.9353841145833334}, {"start": 2245.23, "end": 2245.97, "word": " بدي", "probability": 0.6329345703125}, {"start": 2245.97, "end": 2246.69, "word": " افترض", "probability": 0.953369140625}, {"start": 2246.69, "end": 2247.01, "word": " ان", "probability": 0.91943359375}, {"start": 2247.01, "end": 2247.45, "word": " X", "probability": 0.51025390625}, {"start": 2247.45, "end": 2248.07, "word": " عبارة", "probability": 0.980712890625}, {"start": 2248.07, "end": 2248.29, "word": " عن", "probability": 0.97265625}, {"start": 2248.29, "end": 2248.61, "word": " مين", "probability": 0.6505126953125}, {"start": 2248.61, "end": 2248.87, "word": " عن", "probability": 0.51953125}, {"start": 2248.87, "end": 2249.39, "word": " Eigen", "probability": 0.31591796875}, {"start": 2249.39, "end": 2250.07, "word": " vector", "probability": 0.6220703125}, {"start": 2250.07, "end": 2250.65, "word": " لمن", "probability": 0.677001953125}, {"start": 2250.65, "end": 2251.87, "word": " للمصفوف", "probability": 0.698583984375}, {"start": 2251.87, "end": 2252.43, "word": " A", "probability": 0.2392578125}, {"start": 2252.43, "end": 2253.69, "word": " يبقى", "probability": 0.9700927734375}, {"start": 2253.69, "end": 2253.91, "word": " ا", "probability": 0.2548828125}, {"start": 2253.91, "end": 2254.69, "word": " assume", "probability": 0.85986328125}, {"start": 2254.69, "end": 2257.17, "word": " that", "probability": 0.88671875}, {"start": 2257.17, "end": 2258.39, "word": " ان", "probability": 0.71875}, {"start": 2258.39, "end": 2259.09, "word": " X", "probability": 0.55078125}, {"start": 2259.09, "end": 2259.87, "word": " is", "probability": 0.9248046875}, {"start": 2259.87, "end": 2260.73, "word": " an", "probability": 0.822265625}, {"start": 2260.73, "end": 2261.57, "word": " Eigen", "probability": 0.60546875}, {"start": 2261.57, "end": 2263.59, "word": " vector", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 91, "seek": 229523, "start": 2267.64, "end": 2295.24, "text": "for the matrix for the matrix A then ايش فرضنا ان ال X هي eigen vector لمين لهذه ايش يعني معناها ايش يعني معناها ان ال X هي eigen vector ل A يعني لو ضربت ال A في ال X ايش بدي يطلع ليه", "tokens": [2994, 264, 8141, 337, 264, 8141, 316, 550, 1975, 1829, 8592, 6156, 43042, 8315, 16472, 2423, 1783, 39896, 10446, 8062, 5296, 2304, 9957, 46740, 24192, 1975, 1829, 8592, 37495, 22653, 20449, 8315, 11296, 1975, 1829, 8592, 37495, 22653, 20449, 8315, 11296, 16472, 2423, 1783, 39896, 10446, 8062, 5296, 316, 37495, 22653, 45164, 48812, 25513, 2655, 2423, 316, 8978, 2423, 1783, 1975, 1829, 8592, 4724, 16254, 7251, 9566, 1211, 3615, 32239, 3224], "avg_logprob": -0.2701822962197993, "compression_ratio": 1.804054054054054, "no_speech_prob": 0.0, "words": [{"start": 2267.6400000000003, "end": 2268.38, "word": "for", "probability": 0.406005859375}, {"start": 2268.38, "end": 2269.12, "word": " the", "probability": 0.8583984375}, {"start": 2269.12, "end": 2270.82, "word": " matrix", "probability": 0.95556640625}, {"start": 2270.82, "end": 2273.24, "word": " for", "probability": 0.214599609375}, {"start": 2273.24, "end": 2273.58, "word": " the", "probability": 0.83447265625}, {"start": 2273.58, "end": 2274.2, "word": " matrix", "probability": 0.96435546875}, {"start": 2274.2, "end": 2274.68, "word": " A", "probability": 0.60400390625}, {"start": 2274.68, "end": 2277.2, "word": " then", "probability": 0.482666015625}, {"start": 2277.2, "end": 2279.34, "word": " ايش", "probability": 0.7744954427083334}, {"start": 2279.34, "end": 2280.04, "word": " فرضنا", "probability": 0.9140625}, {"start": 2280.04, "end": 2280.92, "word": " ان", "probability": 0.822265625}, {"start": 2280.92, "end": 2281.12, "word": " ال", "probability": 0.79150390625}, {"start": 2281.12, "end": 2281.34, "word": " X", "probability": 0.79736328125}, {"start": 2281.34, "end": 2281.62, "word": " هي", "probability": 0.96826171875}, {"start": 2281.62, "end": 2281.98, "word": " eigen", "probability": 0.382080078125}, {"start": 2281.98, "end": 2283.54, "word": " vector", "probability": 0.77294921875}, {"start": 2283.54, "end": 2283.98, "word": " لمين", "probability": 0.6322835286458334}, {"start": 2283.98, "end": 2284.58, "word": " لهذه", "probability": 0.6298828125}, {"start": 2284.58, "end": 2285.24, "word": " ايش", "probability": 0.764404296875}, {"start": 2285.24, "end": 2285.56, "word": " يعني", "probability": 0.950439453125}, {"start": 2285.56, "end": 2286.18, "word": " معناها", "probability": 0.9552408854166666}, {"start": 2286.18, "end": 2288.22, "word": " ايش", "probability": 0.8430989583333334}, {"start": 2288.22, "end": 2288.44, "word": " يعني", "probability": 0.966796875}, {"start": 2288.44, "end": 2288.82, "word": " معناها", "probability": 0.8279622395833334}, {"start": 2288.82, "end": 2289.1, "word": " ان", "probability": 0.921875}, {"start": 2289.1, "end": 2289.44, "word": " ال", "probability": 0.45068359375}, {"start": 2289.44, "end": 2289.8, "word": " X", "probability": 0.97998046875}, {"start": 2289.8, "end": 2290.1, "word": " هي", "probability": 0.98876953125}, {"start": 2290.1, "end": 2290.62, "word": " eigen", "probability": 0.80859375}, {"start": 2290.62, "end": 2291.16, "word": " vector", "probability": 0.97705078125}, {"start": 2291.16, "end": 2291.4, "word": " ل", "probability": 0.8515625}, {"start": 2291.4, "end": 2291.66, "word": " A", "probability": 0.49755859375}, {"start": 2291.66, "end": 2292.52, "word": " يعني", "probability": 0.953857421875}, {"start": 2292.52, "end": 2292.8, "word": " لو", "probability": 0.94921875}, {"start": 2292.8, "end": 2293.36, "word": " ضربت", "probability": 0.9446614583333334}, {"start": 2293.36, "end": 2293.56, "word": " ال", "probability": 0.73095703125}, {"start": 2293.56, "end": 2293.76, "word": " A", "probability": 0.92333984375}, {"start": 2293.76, "end": 2293.88, "word": " في", "probability": 0.927734375}, {"start": 2293.88, "end": 2293.98, "word": " ال", "probability": 0.87060546875}, {"start": 2293.98, "end": 2294.14, "word": " X", "probability": 0.990234375}, {"start": 2294.14, "end": 2294.36, "word": " ايش", "probability": 0.748046875}, {"start": 2294.36, "end": 2294.56, "word": " بدي", "probability": 0.5909423828125}, {"start": 2294.56, "end": 2294.86, "word": " يطلع", "probability": 0.9393310546875}, {"start": 2294.86, "end": 2295.24, "word": " ليه", "probability": 0.7490234375}], "temperature": 1.0}, {"id": 92, "seek": 231926, "start": 2299.66, "end": 2319.26, "text": "تعريف الـ eigen vector و ال eigen value شبتر section 4-1 أول تعريف أخدناه إيش يعني؟ يعني هلاجي عدد الـ scalar لأن ده مضروف x بدي يسوي x الشركة أخدنا التعريف؟", "tokens": [2655, 3615, 16572, 5172, 2423, 39184, 10446, 8062, 4032, 2423, 10446, 2158, 13412, 3555, 2655, 2288, 3541, 1017, 12, 16, 5551, 12610, 37279, 16572, 5172, 5551, 9778, 3215, 8315, 3224, 11933, 1829, 8592, 37495, 22653, 22807, 37495, 22653, 8032, 15040, 7435, 1829, 6225, 3215, 3215, 2423, 39184, 39684, 5296, 33456, 11778, 3224, 3714, 11242, 32887, 5172, 2031, 47525, 1829, 7251, 3794, 45865, 2031, 25124, 31747, 3660, 5551, 9778, 3215, 8315, 16712, 3615, 16572, 5172, 22807], "avg_logprob": -0.4060444176981324, "compression_ratio": 1.4497041420118344, "no_speech_prob": 0.0, "words": [{"start": 2299.6600000000003, "end": 2300.86, "word": "تعريف", "probability": 0.7830810546875}, {"start": 2300.86, "end": 2301.08, "word": " الـ", "probability": 0.41455078125}, {"start": 2301.08, "end": 2301.2, "word": " eigen", "probability": 0.32177734375}, {"start": 2301.2, "end": 2301.56, "word": " vector", "probability": 0.7021484375}, {"start": 2301.56, "end": 2301.7, "word": " و", "probability": 0.64306640625}, {"start": 2301.7, "end": 2301.74, "word": " ال", "probability": 0.46044921875}, {"start": 2301.74, "end": 2301.96, "word": " eigen", "probability": 0.67919921875}, {"start": 2301.96, "end": 2302.64, "word": " value", "probability": 0.97021484375}, {"start": 2302.64, "end": 2304.58, "word": " شبتر", "probability": 0.612335205078125}, {"start": 2304.58, "end": 2305.56, "word": " section", "probability": 0.272705078125}, {"start": 2305.56, "end": 2305.96, "word": " 4", "probability": 0.68798828125}, {"start": 2305.96, "end": 2306.64, "word": "-1", "probability": 0.61572265625}, {"start": 2306.64, "end": 2307.52, "word": " أول", "probability": 0.7322998046875}, {"start": 2307.52, "end": 2307.98, "word": " تعريف", "probability": 0.9869791666666666}, {"start": 2307.98, "end": 2308.94, "word": " أخدناه", "probability": 0.9060546875}, {"start": 2308.94, "end": 2310.7, "word": " إيش", "probability": 0.6754557291666666}, {"start": 2310.7, "end": 2311.34, "word": " يعني؟", "probability": 0.8094075520833334}, {"start": 2311.34, "end": 2312.0, "word": " يعني", "probability": 0.823974609375}, {"start": 2312.0, "end": 2312.7, "word": " هلاجي", "probability": 0.61907958984375}, {"start": 2312.7, "end": 2313.2, "word": " عدد", "probability": 0.9690755208333334}, {"start": 2313.2, "end": 2313.4, "word": " الـ", "probability": 0.38818359375}, {"start": 2313.4, "end": 2313.68, "word": " scalar", "probability": 0.2156982421875}, {"start": 2313.68, "end": 2314.48, "word": " لأن", "probability": 0.4521484375}, {"start": 2314.48, "end": 2315.14, "word": " ده", "probability": 0.810791015625}, {"start": 2315.14, "end": 2315.74, "word": " مضروف", "probability": 0.9478759765625}, {"start": 2315.74, "end": 2316.04, "word": " x", "probability": 0.490478515625}, {"start": 2316.04, "end": 2316.36, "word": " بدي", "probability": 0.4156494140625}, {"start": 2316.36, "end": 2316.64, "word": " يسوي", "probability": 0.65576171875}, {"start": 2316.64, "end": 2317.42, "word": " x", "probability": 0.9189453125}, {"start": 2317.42, "end": 2318.36, "word": " الشركة", "probability": 0.8435872395833334}, {"start": 2318.36, "end": 2318.66, "word": " أخدنا", "probability": 0.847900390625}, {"start": 2318.66, "end": 2319.26, "word": " التعريف؟", "probability": 0.96494140625}], "temperature": 1.0}, {"id": 93, "seek": 233877, "start": 2319.91, "end": 2338.77, "text": "يبقى هذا معناه x is an eigen value then ال ax بده ساوي lambda x for some real lambda اللي موجودة في ال 6 real number", "tokens": [1829, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 2031, 307, 364, 10446, 2158, 550, 2423, 6360, 47525, 3224, 8608, 995, 45865, 13607, 2031, 337, 512, 957, 13607, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 1386, 957, 1230], "avg_logprob": -0.34675480616398346, "compression_ratio": 1.1705426356589148, "no_speech_prob": 0.0, "words": [{"start": 2319.91, "end": 2320.77, "word": "يبقى", "probability": 0.8597412109375}, {"start": 2320.77, "end": 2321.27, "word": " هذا", "probability": 0.8798828125}, {"start": 2321.27, "end": 2321.93, "word": " معناه", "probability": 0.93408203125}, {"start": 2321.93, "end": 2322.23, "word": " x", "probability": 0.293701171875}, {"start": 2322.23, "end": 2322.49, "word": " is", "probability": 0.53955078125}, {"start": 2322.49, "end": 2322.85, "word": " an", "probability": 0.8701171875}, {"start": 2322.85, "end": 2323.15, "word": " eigen", "probability": 0.9013671875}, {"start": 2323.15, "end": 2323.69, "word": " value", "probability": 0.5244140625}, {"start": 2323.69, "end": 2324.59, "word": " then", "probability": 0.391845703125}, {"start": 2324.59, "end": 2325.57, "word": " ال", "probability": 0.333251953125}, {"start": 2325.57, "end": 2326.53, "word": " ax", "probability": 0.2666015625}, {"start": 2326.53, "end": 2327.77, "word": " بده", "probability": 0.4671630859375}, {"start": 2327.77, "end": 2328.25, "word": " ساوي", "probability": 0.80078125}, {"start": 2328.25, "end": 2328.85, "word": " lambda", "probability": 0.5078125}, {"start": 2328.85, "end": 2329.31, "word": " x", "probability": 0.9921875}, {"start": 2329.31, "end": 2329.95, "word": " for", "probability": 0.9619140625}, {"start": 2329.95, "end": 2331.81, "word": " some", "probability": 0.8642578125}, {"start": 2331.81, "end": 2333.35, "word": " real", "probability": 0.94384765625}, {"start": 2333.35, "end": 2336.19, "word": " lambda", "probability": 0.85302734375}, {"start": 2336.19, "end": 2336.83, "word": " اللي", "probability": 0.810302734375}, {"start": 2336.83, "end": 2337.35, "word": " موجودة", "probability": 0.9754638671875}, {"start": 2337.35, "end": 2337.47, "word": " في", "probability": 0.90185546875}, {"start": 2337.47, "end": 2337.63, "word": " ال", "probability": 0.70068359375}, {"start": 2337.63, "end": 2337.87, "word": " 6", "probability": 0.49072265625}, {"start": 2337.87, "end": 2338.21, "word": " real", "probability": 0.2279052734375}, {"start": 2338.21, "end": 2338.77, "word": " number", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 94, "seek": 236240, "start": 2341.74, "end": 2362.4, "text": "يبقى هلاقي مادام هذا eigenvector هو بيجيش ال eigenvector إلا إذا كان عندي eigenvalue صحيح ولا لأ طيب مادام عندي eigenvalue مادام عندي eigenvector إيه اللي هو اصلي اللي هو ال eigenvalue اللي هو lambda X مش lambda I lambda X بالشكل اللي عندنا", "tokens": [1829, 3555, 4587, 7578, 8032, 15040, 38436, 3714, 18513, 10943, 23758, 10446, 303, 1672, 31439, 4724, 1829, 7435, 1829, 8592, 2423, 10446, 303, 1672, 11933, 15040, 11933, 15730, 25961, 18871, 16254, 10446, 29155, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 23032, 1829, 3555, 3714, 18513, 10943, 18871, 16254, 10446, 29155, 3714, 18513, 10943, 18871, 16254, 10446, 303, 1672, 11933, 1829, 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k inverse x بده يساوي الرقم مضروب في x انطلع هذا الرقم بصير هذا هو eigen vector صحيح ولا لأ طيب ماشي الحال يبقى باجي اقول هذا الكلام بده يساوي طلعيلي هنا هذه", "tokens": [3224, 3224, 37893, 29538, 34105, 6360, 4724, 16254, 1975, 12984, 3555, 2655, 16472, 2423, 272, 8978, 2423, 350, 17340, 2031, 47525, 3224, 7251, 3794, 995, 45865, 34892, 4587, 2304, 3714, 11242, 32887, 3555, 8978, 2031, 16472, 9566, 1211, 3615, 23758, 34892, 4587, 2304, 4724, 9381, 13546, 23758, 31439, 10446, 8062, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 23032, 1829, 3555, 3714, 33599, 1829, 21542, 6027, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 1975, 39648, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 23032, 1211, 3615, 1829, 20292, 34105, 29538], "avg_logprob": -0.23335597356376442, "compression_ratio": 1.7157894736842105, "no_speech_prob": 0.0, "words": [{"start": 2430.27, "end": 2431.03, "word": "هه", "probability": 0.363525390625}, {"start": 2431.03, "end": 2431.29, "word": " مش", 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0.939453125}, {"start": 2443.05, "end": 2443.49, "word": " هو", "probability": 0.89306640625}, {"start": 2443.49, "end": 2443.85, "word": " eigen", "probability": 0.452392578125}, {"start": 2443.85, "end": 2444.43, "word": " vector", "probability": 0.7919921875}, {"start": 2444.43, "end": 2445.07, "word": " صحيح", "probability": 0.955810546875}, {"start": 2445.07, "end": 2445.25, "word": " ولا", "probability": 0.95654296875}, {"start": 2445.25, "end": 2445.69, "word": " لأ", "probability": 0.7213134765625}, {"start": 2445.69, "end": 2446.83, "word": " طيب", "probability": 0.8836263020833334}, {"start": 2446.83, "end": 2447.43, "word": " ماشي", "probability": 0.9378255208333334}, {"start": 2447.43, "end": 2447.75, "word": " الحال", "probability": 0.962158203125}, {"start": 2447.75, "end": 2448.41, "word": " يبقى", "probability": 0.905517578125}, {"start": 2448.41, "end": 2448.77, "word": " باجي", "probability": 0.7932942708333334}, {"start": 2448.77, "end": 2449.21, "word": " اقول", "probability": 0.92529296875}, {"start": 2449.21, "end": 2449.57, "word": " هذا", "probability": 0.9521484375}, {"start": 2449.57, "end": 2450.31, "word": " الكلام", "probability": 0.93408203125}, {"start": 2450.31, "end": 2451.03, "word": " بده", "probability": 0.942138671875}, {"start": 2451.03, "end": 2451.69, "word": " يساوي", "probability": 0.9912109375}, {"start": 2451.69, "end": 2452.97, "word": " طلعيلي", "probability": 0.86728515625}, {"start": 2452.97, "end": 2453.45, "word": " هنا", "probability": 0.9541015625}, {"start": 2453.45, "end": 2453.97, "word": " هذه", "probability": 0.59375}], "temperature": 1.0}, {"id": 99, "seek": 248412, "start": 2455.36, "end": 2484.12, "text": "أنا عند مين؟ عند بي بده تساوي K inverse AK إذا بقدر أشيل ال B و أكتب بدلها K inverse AK يبقى بقدر أقول هذا الكلام بده يساوي K inverse AK الشكل اللي عندنا هنا كله مضروب في مين؟ في ال K inverse X الشكل اللي عندنا هنا", "tokens": [10721, 8315, 43242, 3714, 9957, 22807, 43242, 4724, 1829, 47525, 3224, 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K", "probability": 0.9697265625}, {"start": 2471.84, "end": 2474.02, "word": " inverse", "probability": 0.8681640625}, {"start": 2474.02, "end": 2476.26, "word": " AK", "probability": 0.97705078125}, {"start": 2476.26, "end": 2477.2, "word": " الشكل", "probability": 0.7861328125}, {"start": 2477.2, "end": 2477.36, "word": " اللي", "probability": 0.977783203125}, {"start": 2477.36, "end": 2477.6, "word": " عندنا", "probability": 0.81005859375}, {"start": 2477.6, "end": 2477.8, "word": " هنا", "probability": 0.93359375}, {"start": 2477.8, "end": 2478.52, "word": " كله", "probability": 0.805908203125}, {"start": 2478.52, "end": 2478.92, "word": " مضروب", "probability": 0.86083984375}, {"start": 2478.92, "end": 2479.08, "word": " في", "probability": 0.94580078125}, {"start": 2479.08, "end": 2479.72, "word": " مين؟", "probability": 0.8810221354166666}, {"start": 2479.72, "end": 2480.16, "word": " في", "probability": 0.68505859375}, {"start": 2480.16, "end": 2480.32, "word": " ال", "probability": 0.42138671875}, {"start": 2480.32, "end": 2480.8, "word": " K", "probability": 0.9404296875}, {"start": 2480.8, "end": 2481.86, "word": " inverse", "probability": 0.88720703125}, {"start": 2481.86, "end": 2482.48, "word": " X", "probability": 0.970703125}, {"start": 2482.48, "end": 2483.6, "word": " الشكل", "probability": 0.956298828125}, {"start": 2483.6, "end": 2483.72, "word": " اللي", "probability": 0.99658203125}, {"start": 2483.72, "end": 2483.96, "word": " عندنا", "probability": 0.952392578125}, {"start": 2483.96, "end": 2484.12, "word": " هنا", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 100, "seek": 251100, "start": 2485.26, "end": 2511.0, "text": "خاصية ال associative صحيحة على من؟ على المصفوفات و دول كلهم مصفوفات ال X و ال A و ال K و ال K inverse كلهم مصفوفات اذا بقدر اقول هذا الكلام K inverse A و هنا K في ال K inverse في مين؟ في ال X", "tokens": [9778, 33546, 10632, 2423, 4180, 1166, 20328, 5016, 1829, 5016, 3660, 15844, 9154, 22807, 15844, 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{"start": 2489.64, "end": 2490.88, "word": " على", "probability": 0.79931640625}, {"start": 2490.88, "end": 2491.78, "word": " المصفوفات", "probability": 0.7654296875}, {"start": 2491.78, "end": 2491.92, "word": " و", "probability": 0.53369140625}, {"start": 2491.92, "end": 2492.16, "word": " دول", "probability": 0.4390869140625}, {"start": 2492.16, "end": 2493.06, "word": " كلهم", "probability": 0.8154296875}, {"start": 2493.06, "end": 2493.86, "word": " مصفوفات", "probability": 0.97275390625}, {"start": 2493.86, "end": 2494.38, "word": " ال", "probability": 0.912109375}, {"start": 2494.38, "end": 2494.66, "word": " X", "probability": 0.783203125}, {"start": 2494.66, "end": 2494.84, "word": " و", "probability": 0.517578125}, {"start": 2494.84, "end": 2494.98, "word": " ال", "probability": 0.53076171875}, {"start": 2494.98, "end": 2495.14, "word": " A", "probability": 0.9541015625}, {"start": 2495.14, "end": 2495.3, "word": " و", "probability": 0.9697265625}, {"start": 2495.3, "end": 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الكلام", "probability": 0.9085286458333334}, {"start": 2500.72, "end": 2501.3, "word": " K", "probability": 0.8232421875}, {"start": 2501.3, "end": 2502.46, "word": " inverse", "probability": 0.83935546875}, {"start": 2502.46, "end": 2503.22, "word": " A", "probability": 0.45703125}, {"start": 2503.22, "end": 2503.84, "word": " و", "probability": 0.63671875}, {"start": 2503.84, "end": 2504.34, "word": " هنا", "probability": 0.96435546875}, {"start": 2504.34, "end": 2505.3, "word": " K", "probability": 0.94580078125}, {"start": 2505.3, "end": 2505.88, "word": " في", "probability": 0.67333984375}, {"start": 2505.88, "end": 2506.18, "word": " ال", "probability": 0.7578125}, {"start": 2506.18, "end": 2506.74, "word": " K", "probability": 0.97607421875}, {"start": 2506.74, "end": 2507.82, "word": " inverse", "probability": 0.89111328125}, {"start": 2507.82, "end": 2508.64, "word": " في", "probability": 0.85302734375}, {"start": 2508.64, "end": 2509.46, "word": " مين؟", "probability": 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"probability": 0.34490966796875}, {"start": 2514.51, "end": 2514.95, "word": " انفرس", "probability": 0.8487548828125}, {"start": 2514.95, "end": 2515.49, "word": " بمين؟", "probability": 0.47198486328125}, {"start": 2515.49, "end": 2515.61, "word": " بال", "probability": 0.81787109375}, {"start": 2515.61, "end": 2517.25, "word": " identity", "probability": 0.64111328125}, {"start": 2517.25, "end": 2517.97, "word": " ال", "probability": 0.28515625}, {"start": 2517.97, "end": 2518.57, "word": " identity", "probability": 0.487060546875}, {"start": 2518.57, "end": 2519.07, "word": " matrix", "probability": 0.71630859375}, {"start": 2519.07, "end": 2521.95, "word": " نفس", "probability": 0.55511474609375}, {"start": 2521.95, "end": 2522.29, "word": " ال", "probability": 0.60791015625}, {"start": 2522.29, "end": 2522.95, "word": " matrix", "probability": 0.94091796875}, {"start": 2522.95, "end": 2523.81, "word": " يبقى", "probability": 0.928466796875}, {"start": 2523.81, "end": 2524.11, 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"word": " زي", "probability": 0.960693359375}, {"start": 2553.88, "end": 2554.04, "word": " ما", "probability": 0.857421875}, {"start": 2554.04, "end": 2554.3, "word": " هي", "probability": 0.446533203125}, {"start": 2554.3, "end": 2555.14, "word": " وهذه", "probability": 0.5123291015625}, {"start": 2555.14, "end": 2555.54, "word": " بده", "probability": 0.914794921875}, {"start": 2555.54, "end": 2556.14, "word": " اشيلها", "probability": 0.954833984375}, {"start": 2556.14, "end": 2556.64, "word": " و", "probability": 0.8583984375}, {"start": 2556.64, "end": 2556.94, "word": " اكتب", "probability": 0.95654296875}, {"start": 2556.94, "end": 2557.5, "word": " بدالها", "probability": 0.8525390625}, {"start": 2557.5, "end": 2558.12, "word": " لاندا", "probability": 0.9147135416666666}, {"start": 2558.12, "end": 2558.62, "word": " X", "probability": 0.9931640625}, {"start": 2558.62, "end": 2560.78, "word": " لاندا", "probability": 0.8938802083333334}, {"start": 2560.78, "end": 2561.22, "word": " scalar", "probability": 0.490966796875}, {"start": 2561.22, "end": 2562.48, "word": " والله", "probability": 0.776611328125}, {"start": 2562.48, "end": 2563.06, "word": " matrix", "probability": 0.481201171875}], "temperature": 1.0}, {"id": 103, "seek": 257478, "start": 2564.0, "end": 2574.78, "text": "يبقى بقدر أطلعه برا، مالهوش دعوة، صحيح ولا لأ؟ إذا هذا الكلام بده يساوي lambda برا في K inverse X", "tokens": [1829, 3555, 4587, 7578, 4724, 28543, 2288, 5551, 9566, 1211, 3615, 3224, 4724, 23557, 12399, 3714, 6027, 3224, 2407, 8592, 11778, 3615, 2407, 3660, 12399, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 11933, 15730, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 13607, 4724, 23557, 8978, 591, 17340, 1783], "avg_logprob": -0.2669516531926281, "compression_ratio": 1.2030075187969924, "no_speech_prob": 0.0, "words": [{"start": 2564.0, "end": 2564.4, "word": "يبقى", "probability": 0.7861328125}, {"start": 2564.4, "end": 2564.74, "word": " بقدر", 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2570.36, "word": " يساوي", "probability": 0.9609375}, {"start": 2570.36, "end": 2570.9, "word": " lambda", "probability": 0.17236328125}, {"start": 2570.9, "end": 2571.7, "word": " برا", "probability": 0.8310546875}, {"start": 2571.7, "end": 2571.96, "word": " في", "probability": 0.89599609375}, {"start": 2571.96, "end": 2572.98, "word": " K", "probability": 0.7314453125}, {"start": 2572.98, "end": 2574.2, "word": " inverse", "probability": 0.8779296875}, {"start": 2574.2, "end": 2574.78, "word": " X", "probability": 0.91015625}], "temperature": 1.0}, {"id": 104, "seek": 259971, "start": 2575.65, "end": 2599.71, "text": "طلعلي بيش بدأت بدأت بمصفوفة في مصفوفة تانية لجيتها scalar في نفس المصفوفة اللي عندنا هذا ايش معناه مش هي هذه المعادلة اللي عندنا زي هذه بالضبط تماما يبقى هذا معناته ايه ايش انه k inverse x is an eigen vector ايش هو قال اللي هنا", "tokens": [9566, 1211, 3615, 20292, 4724, 1829, 8592, 47525, 10721, 2655, 47525, 10721, 2655, 4724, 2304, 9381, 5172, 38688, 3660, 8978, 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