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+{"segments": [{"id": 1, "seek": 4666, "start": 19.34, "end": 46.66, "text": "بالله الرحمن الرحيم لازلنا في نفس ال section تبع المرة الماضية وهو kramer's rule في نهاية هذا ال section حضرتنا نظرية النظرية بتتحدث عن ال homogeneous system فبتقول لي معاياتي لو كان عند ال homogeneous system Ax يساوي 0 في N من المعادلات و N من المجاهين", "tokens": [3555, 6027, 43761, 34892, 5016, 27842, 34892, 5016, 32640, 5296, 31377, 1211, 8315, 8978, 8717, 36178, 2423, 3541, 6055, 3555, 3615, 9673, 25720, 9673, 46958, 10632, 37037, 2407, 350, 44772, 311, 4978, 8978, 8717, 11296, 10632, 23758, 2423, 3541, 11331, 11242, 43500, 8315, 8717, 19913, 2288, 10632, 28239, 19913, 2288, 10632, 39894, 2655, 24401, 12984, 18871, 2423, 42632, 1185, 6156, 3555, 2655, 39648, 32239, 20449, 47302, 9307, 1829, 45164, 25961, 43242, 2423, 42632, 1185, 20118, 7251, 3794, 995, 45865, 1958, 8978, 426, 9154, 9673, 3615, 18513, 1211, 9307, 4032, 426, 9154, 9673, 7435, 40294, 9957], "avg_logprob": -0.24397787172347307, 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{"start": 101.49, "end": 101.99, "word": " يوجد", "probability": 0.9571940104166666}, {"start": 101.99, "end": 102.41, "word": " عندى", "probability": 0.675537109375}, {"start": 102.41, "end": 102.71, "word": " إلا", "probability": 0.9345703125}, {"start": 102.71, "end": 103.19, "word": " الحل", "probability": 0.953369140625}, {"start": 103.19, "end": 103.71, "word": " الصفري", "probability": 0.8603515625}, {"start": 103.71, "end": 104.15, "word": " أما", "probability": 0.74560546875}, {"start": 104.15, "end": 104.47, "word": " إذا", "probability": 0.976806640625}, {"start": 104.47, "end": 104.87, "word": " كان", "probability": 0.9931640625}, {"start": 104.87, "end": 105.73, "word": " المحدد", "probability": 0.9957682291666666}, {"start": 105.73, "end": 106.59, "word": " يساوي", "probability": 0.9716796875}, {"start": 106.59, "end": 107.09, "word": " Zero", "probability": 0.397216796875}, {"start": 107.09, "end": 109.07, "word": " لمصفوفة", "probability": 0.89716796875}, {"start": 109.07, "end": 109.87, "word": " المعاملات", "probability": 0.9951171875}, {"start": 109.87, "end": 110.53, "word": " فعندي", "probability": 0.74365234375}, {"start": 110.53, "end": 110.93, "word": " عدد", "probability": 0.98828125}, {"start": 110.93, "end": 111.71, "word": " لنهائي", "probability": 0.89189453125}, {"start": 111.71, "end": 112.03, "word": " من", "probability": 0.99072265625}, {"start": 112.03, "end": 112.99, "word": " الحلول", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 5, "seek": 13810, "start": 113.3, "end": 138.1, "text": "بناخد مثال على ذلك بيقول determine all values هتلي كل القيم تبع المقدار الثابت C بحيث ان ال system التالي has none trivial solution and then find all such solution يعني بعد ما تجيبلي قيمة C بدك تروح تجيبلي حل هذا ال system", "tokens": [3555, 1863, 47283, 3215, 50113, 6027, 15844, 29910, 23275, 4724, 1829, 39648, 6997, 439, 4190, 8032, 2655, 20292, 28242, 25062, 32640, 6055, 3555, 3615, 9673, 28543, 9640, 6024, 104, 16758, 2655, 383, 4724, 5016, 1829, 12984, 16472, 2423, 1185, 16712, 6027, 1829, 575, 6022, 26703, 3827, 293, 550, 915, 439, 1270, 3827, 37495, 22653, 39182, 19446, 6055, 7435, 1829, 3555, 20292, 12174, 32640, 3660, 383, 47525, 4117, 6055, 32887, 5016, 6055, 7435, 1829, 3555, 20292, 11331, 1211, 23758, 2423, 1185], "avg_logprob": -0.22202931804421508, "compression_ratio": 1.5188679245283019, "no_speech_prob": 0.0, "words": [{"start": 113.3, "end": 114.42, "word": "بناخد", "probability": 0.447998046875}, {"start": 114.42, "end": 114.88, "word": " مثال", "probability": 0.961669921875}, {"start": 114.88, "end": 115.1, "word": " على", "probability": 0.7294921875}, {"start": 115.1, "end": 115.62, "word": " ذلك", "probability": 0.975830078125}, {"start": 115.62, "end": 116.3, "word": " بيقول", "probability": 0.7159016927083334}, {"start": 116.3, "end": 117.0, "word": " determine", "probability": 0.11334228515625}, {"start": 117.0, "end": 117.52, "word": " all", "probability": 0.93017578125}, {"start": 117.52, "end": 118.2, "word": " values", "probability": 0.9375}, {"start": 118.2, "end": 118.66, "word": " هتلي", "probability": 0.6571451822916666}, {"start": 118.66, "end": 119.18, "word": " كل", "probability": 0.94189453125}, {"start": 119.18, "end": 119.86, "word": " القيم", "probability": 0.93603515625}, {"start": 119.86, "end": 120.26, "word": " تبع", "probability": 0.7978515625}, {"start": 120.26, "end": 120.98, "word": " المقدار", "probability": 0.9044596354166666}, {"start": 120.98, "end": 121.62, "word": " الثابت", "probability": 0.87646484375}, {"start": 121.62, "end": 122.0, "word": " C", "probability": 0.57177734375}, {"start": 122.0, "end": 123.18, "word": " بحيث", "probability": 0.979248046875}, {"start": 123.18, "end": 123.62, "word": " ان", "probability": 0.5146484375}, {"start": 123.62, "end": 124.54, "word": " ال", "probability": 0.9462890625}, {"start": 124.54, "end": 125.14, "word": " system", "probability": 0.86181640625}, {"start": 125.14, "end": 126.2, "word": " التالي", "probability": 0.9425455729166666}, {"start": 126.2, "end": 126.84, "word": " has", "probability": 0.7744140625}, {"start": 126.84, "end": 127.28, "word": " none", "probability": 0.433837890625}, {"start": 127.28, "end": 127.98, "word": " trivial", "probability": 0.9091796875}, {"start": 127.98, "end": 128.8, "word": " solution", "probability": 0.822265625}, {"start": 128.8, "end": 129.1, "word": " and", "probability": 0.89404296875}, {"start": 129.1, "end": 129.32, "word": " then", "probability": 0.5703125}, {"start": 129.32, "end": 129.84, "word": " find", "probability": 0.88525390625}, {"start": 129.84, "end": 130.38, "word": " all", "probability": 0.9404296875}, {"start": 130.38, "end": 130.88, "word": " such", "probability": 0.92236328125}, {"start": 130.88, "end": 131.62, "word": " solution", "probability": 0.65087890625}, {"start": 131.62, "end": 132.42, "word": " يعني", "probability": 0.928955078125}, {"start": 132.42, "end": 132.7, "word": " بعد", "probability": 0.962890625}, {"start": 132.7, "end": 132.86, "word": " ما", "probability": 0.79052734375}, {"start": 132.86, "end": 133.38, "word": " تجيبلي", "probability": 0.9427734375}, {"start": 133.38, "end": 134.02, "word": " قيمة", "probability": 0.9943033854166666}, {"start": 134.02, "end": 134.46, "word": " C", "probability": 0.9033203125}, {"start": 134.46, "end": 135.26, "word": " بدك", "probability": 0.828125}, {"start": 135.26, "end": 135.72, "word": " تروح", "probability": 0.98291015625}, {"start": 135.72, "end": 136.24, "word": " تجيبلي", "probability": 0.89130859375}, {"start": 136.24, "end": 136.76, "word": " حل", "probability": 0.984130859375}, {"start": 136.76, "end": 137.34, "word": " هذا", "probability": 0.94970703125}, {"start": 137.34, "end": 137.74, "word": " ال", "probability": 0.8896484375}, {"start": 137.74, "end": 138.1, "word": " system", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 6, "seek": 14744, "start": 138.69, "end": 147.45, "text": "طبعا اش بقول هنا جالي non-trivial solution يعني بدي قداش قيمة C اللي بتخليه non-trivial", "tokens": [9566, 3555, 3615, 995, 1975, 8592, 4724, 39648, 34105, 10874, 6027, 1829, 2107, 12, 83, 470, 22640, 3827, 37495, 22653, 4724, 16254, 12174, 3215, 33599, 12174, 32640, 3660, 383, 13672, 1829, 39894, 9778, 20292, 3224, 2107, 12, 83, 470, 22640], "avg_logprob": -0.4096798780487805, "compression_ratio": 1.1944444444444444, "no_speech_prob": 0.0, "words": [{"start": 138.69, "end": 139.09, "word": "طبعا", "probability": 0.7383880615234375}, {"start": 139.09, "end": 139.21, "word": " اش", "probability": 0.25115966796875}, {"start": 139.21, "end": 139.55, "word": " بقول", "probability": 0.892578125}, {"start": 139.55, "end": 140.01, "word": " هنا", "probability": 0.916015625}, {"start": 140.01, "end": 140.57, "word": " جالي", "probability": 0.4972330729166667}, {"start": 140.57, "end": 140.89, "word": " non", "probability": 0.296142578125}, {"start": 140.89, "end": 141.77, "word": "-trivial", "probability": 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هذا الكلام اذا احنا هنجي على ال system of linear equations هذا و نجي نحل هذا ال system بعد ما نتقل .. لكن هذا بنا نحله بعد ما نجيب قيمة C تمام؟ يبقى باجي بقوله الحل كتالة", "tokens": [40228, 22653, 4724, 16254, 41296, 1975, 1829, 3224, 8032, 3794, 45865, 3224, 20666, 39184, 2135, 8032, 3794, 45865, 3224, 20666, 39184, 4018, 4032, 12602, 2407, 5016, 8717, 5016, 1211, 23758, 2423, 28820, 10943, 1975, 15730, 1975, 5016, 8315, 8032, 1863, 7435, 1829, 15844, 2423, 1185, 295, 8213, 11787, 23758, 4032, 8717, 7435, 1829, 8717, 5016, 1211, 23758, 2423, 1185, 39182, 19446, 8717, 2655, 4587, 1211, 4386, 44381, 23758, 4724, 8315, 8717, 5016, 43761, 39182, 19446, 8717, 7435, 1829, 3555, 12174, 32640, 3660, 383, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 21542, 1211, 9122, 2655, 6027, 3660], "avg_logprob": -0.3261529236163908, "compression_ratio": 1.7077625570776256, "no_speech_prob": 0.0, "words": [{"start": 149.41, "end": 149.89, "word": "يعني", 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"probability": 0.8204345703125}], "temperature": 1.0}, {"id": 8, "seek": 19545, "start": 173.13, "end": 195.45, "text": "الـ System has non-trivial solution يبقى هنا since بما أن الـ System star has non-trivial solution", "tokens": [6027, 39184, 8910, 575, 2107, 12, 83, 470, 22640, 3827, 7251, 3555, 4587, 7578, 34105, 1670, 4724, 15042, 14739, 2423, 39184, 8910, 3543, 575, 2107, 12, 83, 470, 22640, 3827], "avg_logprob": -0.5655242166211528, "compression_ratio": 1.288888888888889, "no_speech_prob": 0.0, "words": [{"start": 173.13, "end": 173.75, "word": "الـ", "probability": 0.3271331787109375}, {"start": 173.75, "end": 174.31, "word": " System", "probability": 0.4638671875}, {"start": 174.31, "end": 174.69, "word": " has", "probability": 0.70166015625}, {"start": 174.69, "end": 175.13, "word": " non", "probability": 0.69921875}, {"start": 175.13, "end": 175.85, "word": "-trivial", "probability": 0.73876953125}, {"start": 175.85, "end": 176.47, "word": " solution", "probability": 0.654296875}, {"start": 176.47, "end": 180.97, "word": " يبقى", "probability": 0.712066650390625}, {"start": 180.97, "end": 181.17, "word": " هنا", "probability": 0.60498046875}, {"start": 181.17, "end": 181.89, "word": " since", "probability": 0.1651611328125}, {"start": 181.89, "end": 182.65, "word": " بما", "probability": 0.947509765625}, {"start": 182.65, "end": 183.37, "word": " أن", "probability": 0.7080078125}, {"start": 183.37, "end": 183.89, "word": " الـ", "probability": 0.5718994140625}, {"start": 183.89, "end": 185.51, "word": " System", "probability": 0.83740234375}, {"start": 185.51, "end": 187.91, "word": " star", "probability": 0.0989990234375}, {"start": 187.91, "end": 189.77, "word": " has", "probability": 0.56689453125}, {"start": 189.77, "end": 191.31, "word": " non", "probability": 0.89111328125}, {"start": 191.31, "end": 193.55, "word": "-trivial", "probability": 0.9000244140625}, {"start": 193.55, "end": 195.45, "word": " solution", "probability": 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الصف", "probability": 0.782958984375}, {"start": 457.41, "end": 458.19, "word": " الأول", "probability": 0.815185546875}, {"start": 458.19, "end": 458.81, "word": " في", "probability": 0.83935546875}, {"start": 458.81, "end": 459.41, "word": " سالب", "probability": 0.7850748697916666}, {"start": 459.41, "end": 459.93, "word": " تلاتة", "probability": 0.8458251953125}, {"start": 459.93, "end": 460.01, "word": " و", "probability": 0.568359375}, {"start": 460.01, "end": 460.59, "word": " بنضيف", "probability": 0.6338297526041666}, {"start": 460.59, "end": 460.85, "word": " ولا", "probability": 0.693359375}, {"start": 460.85, "end": 461.51, "word": " التالي", "probability": 0.6927490234375}, {"start": 461.51, "end": 462.23, "word": " يبقى", "probability": 0.9317626953125}, {"start": 462.23, "end": 462.63, "word": " سالب", "probability": 0.91845703125}, {"start": 462.63, "end": 463.15, "word": " تلاتة", "probability": 0.9320068359375}, {"start": 463.15, "end": 463.27, "word": " في", "probability": 0.953125}, {"start": 463.27, "end": 463.65, "word": " سبعة", "probability": 0.9290364583333334}, {"start": 463.65, "end": 464.39, "word": " بسالب", "probability": 0.8525390625}, {"start": 464.39, "end": 465.55, "word": " واحد", "probability": 0.885498046875}, {"start": 465.55, "end": 466.37, "word": " وعشرين", "probability": 0.8677978515625}, {"start": 466.37, "end": 466.93, "word": " يبقى", "probability": 0.87109375}, {"start": 466.93, "end": 467.61, "word": " سالب", "probability": 0.9767252604166666}, {"start": 467.61, "end": 468.27, "word": " واحد", "probability": 0.942138671875}, {"start": 468.27, "end": 468.95, "word": " وعشرين", "probability": 0.949951171875}, {"start": 468.95, "end": 470.01, "word": " هضربنا", "probability": 0.809326171875}, {"start": 470.01, "end": 470.17, "word": " في", "probability": 0.931640625}, {"start": 470.17, "end": 470.47, "word": " اتنين", "probability": 0.946533203125}, {"start": 470.47, "end": 471.21, "word": " اربعتاشر", "probability": 0.79833984375}, {"start": 471.21, "end": 471.77, "word": " واحد", "probability": 0.918701171875}, {"start": 471.77, "end": 472.15, "word": " اللي", "probability": 0.91748046875}, {"start": 472.15, "end": 472.37, "word": " هي", "probability": 0.77880859375}, {"start": 472.37, "end": 473.39, "word": " خمستاشر", "probability": 0.863427734375}], "temperature": 1.0}, {"id": 22, "seek": 49592, "start": 473.68, "end": 495.92, "text": "يبقى الأن بيجي ناخد من سالب سبع قاري اتنين يبقى هذا بتصير المصوفة على الشكل التالي واحد اتنين سبعة زيرو هنا زيرو وهنا واحد وهنا تلاتة وهنا زيرو", "tokens": [1829, 3555, 4587, 7578, 16247, 1863, 4724, 1829, 7435, 1829, 8717, 47283, 3215, 9154, 8608, 6027, 3555, 8608, 3555, 3615, 12174, 9640, 1829, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 23758, 39894, 9381, 13546, 9673, 9381, 38688, 3660, 15844, 25124, 28820, 16712, 6027, 1829, 36764, 24401, 1975, 2655, 1863, 9957, 8608, 3555, 27884, 30767, 13546, 2407, 34105, 30767, 13546, 2407, 37037, 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0.9359130859375}, {"start": 481.7, "end": 481.98, "word": " هذا", "probability": 0.65087890625}, {"start": 481.98, "end": 482.58, "word": " بتصير", "probability": 0.6541341145833334}, {"start": 482.58, "end": 483.48, "word": " المصوفة", "probability": 0.84478759765625}, {"start": 483.48, "end": 483.72, "word": " على", "probability": 0.8349609375}, {"start": 483.72, "end": 484.36, "word": " الشكل", "probability": 0.84033203125}, {"start": 484.36, "end": 485.06, "word": " التالي", "probability": 0.9768880208333334}, {"start": 485.06, "end": 486.02, "word": " واحد", "probability": 0.829345703125}, {"start": 486.02, "end": 486.98, "word": " اتنين", "probability": 0.968505859375}, {"start": 486.98, "end": 488.0, "word": " سبعة", "probability": 0.9609375}, {"start": 488.0, "end": 489.1, "word": " زيرو", "probability": 0.7498372395833334}, {"start": 489.1, "end": 490.0, "word": " هنا", "probability": 0.908203125}, {"start": 490.0, "end": 491.04, "word": " زيرو", "probability": 0.85400390625}, {"start": 491.04, "end": 491.7, "word": " وهنا", "probability": 0.75927734375}, {"start": 491.7, "end": 492.42, "word": " واحد", "probability": 0.975830078125}, {"start": 492.42, "end": 493.4, "word": " وهنا", "probability": 0.826904296875}, {"start": 493.4, "end": 494.5, "word": " تلاتة", "probability": 0.952392578125}, {"start": 494.5, "end": 495.26, "word": " وهنا", "probability": 0.84326171875}, {"start": 495.26, "end": 495.92, "word": " زيرو", "probability": 0.9646809895833334}], "temperature": 1.0}, {"id": 23, "seek": 51479, "start": 496.32, "end": 514.8, "text": "و بالمرة ناخد كمان خمس R تلاتة و هذا كمان خمس R تلاتة يبقى هذا بده يعطينا كمان Zero واحد و هنا تلاتة و هنا Zero الشكل اللي عندنا هذا", "tokens": [2407, 20666, 2304, 25720, 8717, 47283, 3215, 9122, 2304, 7649, 16490, 2304, 3794, 497, 6055, 1211, 9307, 3660, 4032, 23758, 9122, 2304, 7649, 16490, 2304, 3794, 497, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 9122, 2304, 7649, 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"word": " كمان", "probability": 0.9658203125}, {"start": 503.02, "end": 504.36, "word": " خمس", "probability": 0.9855143229166666}, {"start": 504.36, "end": 505.46, "word": " R", "probability": 0.97900390625}, {"start": 505.46, "end": 506.3, "word": " تلاتة", "probability": 0.984375}, {"start": 506.3, "end": 507.6, "word": " يبقى", "probability": 0.9439697265625}, {"start": 507.6, "end": 507.86, "word": " هذا", "probability": 0.92724609375}, {"start": 507.86, "end": 508.28, "word": " بده", "probability": 0.5350341796875}, {"start": 508.28, "end": 508.9, "word": " يعطينا", "probability": 0.9193115234375}, {"start": 508.9, "end": 509.46, "word": " كمان", "probability": 0.9759114583333334}, {"start": 509.46, "end": 509.98, "word": " Zero", "probability": 0.45068359375}, {"start": 509.98, "end": 511.08, "word": " واحد", "probability": 0.8017578125}, {"start": 511.08, "end": 511.34, "word": " و", "probability": 0.64501953125}, {"start": 511.34, "end": 511.58, "word": " هنا", "probability": 0.93505859375}, {"start": 511.58, "end": 512.26, "word": " تلاتة", "probability": 0.9771728515625}, {"start": 512.26, "end": 512.38, "word": " و", "probability": 0.8798828125}, {"start": 512.38, "end": 512.68, "word": " هنا", "probability": 0.97412109375}, {"start": 512.68, "end": 513.18, "word": " Zero", "probability": 0.8974609375}, {"start": 513.18, "end": 514.04, "word": " الشكل", "probability": 0.865478515625}, {"start": 514.04, "end": 514.22, "word": " اللي", "probability": 0.948974609375}, {"start": 514.22, "end": 514.58, "word": " عندنا", "probability": 0.942138671875}, {"start": 514.58, "end": 514.8, "word": " هذا", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 24, "seek": 53777, "start": 515.41, "end": 537.77, "text": "تمام؟ يبقى هذا المصير تاخد الشكل التالي بدي أضرب الصف الثاني في سالب و أضيفه فوق و تحت يبقى السالب R او سالب اتنين سالب اتنين R اتنين to R one", "tokens": [2655, 15042, 2304, 22807, 7251, 3555, 4587, 7578, 23758, 9673, 9381, 13546, 6055, 47283, 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519.29, "end": 520.17, "word": " التالي", "probability": 0.96142578125}, {"start": 520.17, "end": 521.21, "word": " بدي", "probability": 0.591064453125}, {"start": 521.21, "end": 521.79, "word": " أضرب", "probability": 0.8650716145833334}, {"start": 521.79, "end": 522.63, "word": " الصف", "probability": 0.95751953125}, {"start": 522.63, "end": 523.37, "word": " الثاني", "probability": 0.83050537109375}, {"start": 523.37, "end": 523.63, "word": " في", "probability": 0.884765625}, {"start": 523.63, "end": 524.01, "word": " سالب", "probability": 0.7799479166666666}, {"start": 524.01, "end": 524.17, "word": " و", "probability": 0.9931640625}, {"start": 524.17, "end": 524.65, "word": " أضيفه", "probability": 0.8333740234375}, {"start": 524.65, "end": 525.23, "word": " فوق", "probability": 0.975830078125}, {"start": 525.23, "end": 525.37, "word": " و", "probability": 0.654296875}, {"start": 525.37, "end": 525.65, "word": " تحت", "probability": 0.4385986328125}, {"start": 525.65, "end": 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{"start": 807.78, "end": 808.06, "word": " N", "probability": 0.2822265625}, {"start": 808.06, "end": 808.28, "word": " في", "probability": 0.8798828125}, {"start": 808.28, "end": 808.58, "word": " N", "probability": 0.8046875}, {"start": 808.58, "end": 808.96, "word": " has", "probability": 0.58349609375}, {"start": 808.96, "end": 809.4, "word": " an", "probability": 0.849609375}, {"start": 809.4, "end": 809.88, "word": " inverse", "probability": 0.8828125}, {"start": 809.88, "end": 810.66, "word": " matrix", "probability": 0.966796875}, {"start": 810.66, "end": 811.3, "word": " has", "probability": 0.29150390625}, {"start": 811.3, "end": 812.46, "word": " an", "probability": 0.9287109375}, {"start": 812.46, "end": 814.18, "word": " inverse", "probability": 0.783203125}, {"start": 814.18, "end": 816.54, "word": " matrix", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 37, "seek": 84884, "start": 820.24, "end": 848.84, "text": "فإذا كان ال A في ال B سوى ال B في ال A سوى ال identity matrix IN remark ال matrix A ال matrix A has an inverse has an", "tokens": [5172, 28814, 15730, 25961, 2423, 316, 8978, 2423, 363, 8608, 2407, 7578, 2423, 363, 8978, 2423, 316, 8608, 2407, 7578, 2423, 6575, 8141, 6892, 7942, 2423, 8141, 316, 2423, 8141, 316, 575, 364, 17340, 575, 364], "avg_logprob": -0.32538008045505834, "compression_ratio": 1.494949494949495, "no_speech_prob": 0.0, "words": [{"start": 820.24, "end": 821.62, "word": "فإذا", "probability": 0.6643880208333334}, {"start": 821.62, "end": 822.28, "word": " كان", "probability": 0.9892578125}, {"start": 822.28, "end": 823.62, "word": " ال", "probability": 0.91064453125}, {"start": 823.62, "end": 824.08, "word": " A", "probability": 0.30126953125}, {"start": 824.08, "end": 824.76, "word": " في", "probability": 0.5546875}, {"start": 824.76, "end": 825.02, "word": " ال", "probability": 0.78125}, {"start": 825.02, "end": 825.36, "word": " B", "probability": 0.95166015625}, {"start": 825.36, "end": 826.44, "word": " سوى", "probability": 0.69921875}, {"start": 826.44, "end": 826.6, "word": " ال", "probability": 0.93798828125}, {"start": 826.6, "end": 826.86, "word": " B", "probability": 0.9052734375}, {"start": 826.86, "end": 827.26, "word": " في", "probability": 0.97265625}, {"start": 827.26, "end": 827.54, "word": " ال", "probability": 0.93701171875}, {"start": 827.54, "end": 827.88, "word": " A", "probability": 0.9912109375}, {"start": 827.88, "end": 828.88, "word": " سوى", "probability": 0.8683268229166666}, {"start": 828.88, "end": 829.0, "word": " ال", "probability": 0.91796875}, {"start": 829.0, "end": 829.68, "word": " identity", "probability": 0.77490234375}, {"start": 829.68, "end": 830.72, "word": " matrix", "probability": 0.95751953125}, {"start": 830.72, "end": 831.96, "word": " IN", "probability": 0.413330078125}, {"start": 831.96, "end": 834.26, "word": " remark", "probability": 0.7080078125}, {"start": 834.26, "end": 838.72, "word": " ال", "probability": 0.306396484375}, {"start": 838.72, "end": 839.26, "word": " matrix", "probability": 0.90625}, {"start": 839.26, "end": 839.96, "word": " A", "probability": 0.9814453125}, {"start": 839.96, "end": 842.7, "word": " ال", "probability": 0.402099609375}, {"start": 842.7, "end": 843.4, "word": " matrix", "probability": 0.9677734375}, {"start": 843.4, "end": 844.1, "word": " A", "probability": 0.9853515625}, {"start": 844.1, "end": 845.36, "word": " has", "probability": 0.242431640625}, {"start": 845.36, "end": 845.84, "word": " an", "probability": 0.91455078125}, {"start": 845.84, "end": 846.52, "word": " inverse", "probability": 0.87744140625}, {"start": 846.52, "end": 847.78, "word": " has", "probability": 0.79345703125}, {"start": 847.78, "end": 848.84, "word": " an", "probability": 0.775390625}], "temperature": 1.0}, {"id": 38, "seek": 87367, "start": 849.91, "end": 873.67, "text": "Inverse هدّيله الرمز A و فوقها سالب واحد if and only if ال determinant للـ A لا يساوي zero نأخد أول نظرية على هذا الموضوع theorem بتقول let ال A ب", "tokens": [4575, 4308, 8032, 3215, 11703, 26895, 3224, 34892, 2304, 11622, 316, 4032, 6156, 30543, 11296, 8608, 6027, 3555, 36764, 24401, 498, 293, 787, 498, 2423, 41296, 24976, 39184, 316, 20193, 7251, 3794, 995, 45865, 4018, 8717, 10721, 9778, 3215, 5551, 12610, 8717, 19913, 2288, 10632, 15844, 23758, 9673, 2407, 11242, 45367, 20904, 39894, 39648, 718, 2423, 316, 4724], "avg_logprob": -0.4242584705352783, "compression_ratio": 1.2485549132947977, "no_speech_prob": 0.0, "words": [{"start": 849.91, "end": 850.87, "word": "Inverse", "probability": 0.4666748046875}, {"start": 850.87, "end": 851.97, "word": " هدّيله", "probability": 0.5246337890625}, {"start": 851.97, "end": 852.59, "word": " الرمز", "probability": 0.970703125}, {"start": 852.59, "end": 852.89, "word": " A", "probability": 0.34814453125}, {"start": 852.89, "end": 853.07, "word": " و", "probability": 0.740234375}, {"start": 853.07, "end": 853.51, "word": " فوقها", "probability": 0.6637369791666666}, {"start": 853.51, "end": 854.05, "word": " سالب", "probability": 0.8824869791666666}, {"start": 854.05, "end": 854.77, "word": " واحد", "probability": 0.945068359375}, {"start": 854.77, "end": 855.81, "word": " if", "probability": 0.234375}, {"start": 855.81, "end": 856.35, "word": " and", "probability": 0.78466796875}, {"start": 856.35, "end": 856.81, "word": " only", "probability": 0.84716796875}, {"start": 856.81, "end": 857.41, "word": " if", "probability": 0.9794921875}, {"start": 857.41, "end": 858.29, "word": " ال", "probability": 0.6494140625}, {"start": 858.29, "end": 859.13, "word": " determinant", "probability": 0.5205078125}, {"start": 859.13, "end": 860.03, "word": " للـ", "probability": 0.518310546875}, {"start": 860.03, "end": 860.37, "word": " A", "probability": 0.60302734375}, {"start": 860.37, "end": 861.25, "word": " لا", "probability": 0.3837890625}, {"start": 861.25, "end": 862.19, "word": " يساوي", "probability": 0.9571533203125}, {"start": 862.19, "end": 862.85, 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"probability": 0.7470703125}], "temperature": 1.0}, {"id": 39, "seek": 90677, "start": 878.07, "end": 906.77, "text": "an n by n matrix if there exists a matrix B such that ال A في ال B بده يساوي ال identity matrix I N", "tokens": [282, 297, 538, 297, 8141, 498, 456, 8198, 257, 8141, 363, 1270, 300, 2423, 316, 8978, 2423, 363, 47525, 3224, 7251, 3794, 995, 45865, 2423, 6575, 8141, 286, 426], "avg_logprob": -0.3776041666666667, "compression_ratio": 1.1734693877551021, "no_speech_prob": 0.0, "words": [{"start": 878.07, "end": 878.73, "word": "an", "probability": 0.10089111328125}, {"start": 878.73, "end": 879.43, "word": " n", "probability": 0.61962890625}, {"start": 879.43, "end": 879.79, "word": " by", "probability": 0.5439453125}, {"start": 879.79, "end": 880.81, "word": " n", "probability": 0.9736328125}, {"start": 880.81, "end": 882.51, "word": " matrix", "probability": 0.919921875}, {"start": 882.51, "end": 885.51, "word": " if", "probability": 0.6748046875}, {"start": 885.51, "end": 887.25, "word": " there", "probability": 0.85302734375}, {"start": 887.25, "end": 888.11, "word": " exists", "probability": 0.693359375}, {"start": 888.11, "end": 889.89, "word": " a", "probability": 0.974609375}, {"start": 889.89, "end": 890.51, "word": " matrix", "probability": 0.9443359375}, {"start": 890.51, "end": 891.09, "word": " B", "probability": 0.63720703125}, {"start": 891.09, "end": 896.89, "word": " such", "probability": 0.7080078125}, {"start": 896.89, "end": 897.71, "word": " that", "probability": 0.95458984375}, {"start": 897.71, "end": 901.45, "word": " ال", "probability": 0.767578125}, {"start": 901.45, "end": 901.81, "word": " A", "probability": 0.323486328125}, {"start": 901.81, "end": 902.09, "word": " في", "probability": 0.7158203125}, {"start": 902.09, "end": 902.29, "word": " ال", "probability": 0.75439453125}, {"start": 902.29, "end": 902.47, "word": " B", "probability": 0.9501953125}, {"start": 902.47, "end": 902.97, "word": " بده", "probability": 0.3330078125}, {"start": 902.97, "end": 903.39, "word": " يساوي", "probability": 0.843994140625}, {"start": 903.39, "end": 903.63, "word": " ال", "probability": 0.77783203125}, {"start": 903.63, "end": 904.39, "word": " identity", "probability": 0.8310546875}, {"start": 904.39, "end": 905.39, "word": " matrix", "probability": 0.97900390625}, {"start": 905.39, "end": 906.19, "word": " I", "probability": 0.64404296875}, {"start": 906.19, "end": 906.77, "word": " N", "probability": 0.6787109375}], "temperature": 1.0}, {"id": 40, "seek": 92341, "start": 907.97, "end": 923.41, "text": "بعد ذلك الـ B في الـ A بيكون ساوية الـ Identity Matrix I N وبعد ذلك الـ B بيكون ساوية A انفرز", "tokens": [3555, 22488, 29910, 23275, 2423, 39184, 363, 8978, 2423, 39184, 316, 4724, 1829, 30544, 8608, 995, 2407, 10632, 2423, 39184, 25905, 507, 36274, 286, 426, 46599, 22488, 29910, 23275, 2423, 39184, 363, 4724, 1829, 30544, 8608, 995, 2407, 10632, 316, 16472, 5172, 2288, 11622], "avg_logprob": -0.5375000264909532, "compression_ratio": 1.4356435643564356, "no_speech_prob": 0.0, "words": [{"start": 907.97, "end": 908.65, "word": "بعد", "probability": 0.3341064453125}, {"start": 908.65, "end": 908.65, "word": " ذلك", "probability": 0.752685546875}, {"start": 908.65, "end": 910.47, "word": " الـ", "probability": 0.3985595703125}, {"start": 910.47, "end": 910.77, "word": " B", "probability": 0.388916015625}, {"start": 910.77, "end": 911.11, "word": " في", "probability": 0.6181640625}, {"start": 911.11, "end": 911.43, "word": " الـ", "probability": 0.630859375}, {"start": 911.43, "end": 911.79, "word": " A", "probability": 0.9169921875}, {"start": 911.79, "end": 912.61, "word": " بيكون", "probability": 0.3683675130208333}, {"start": 912.61, "end": 913.17, "word": " ساوية", "probability": 0.5582275390625}, {"start": 913.17, "end": 913.35, "word": " الـ", "probability": 0.5335693359375}, {"start": 913.35, "end": 914.15, "word": " Identity", "probability": 0.7178955078125}, {"start": 914.15, "end": 914.71, "word": " Matrix", "probability": 0.90380859375}, {"start": 914.71, "end": 915.13, "word": " I", "probability": 0.2117919921875}, {"start": 915.13, "end": 915.53, "word": " N", "probability": 0.486572265625}, {"start": 915.53, "end": 917.65, "word": " وبعد", "probability": 0.456298828125}, {"start": 917.65, "end": 917.65, "word": " ذلك", "probability": 0.96533203125}, {"start": 917.65, "end": 919.95, "word": " الـ", "probability": 0.853271484375}, {"start": 919.95, "end": 920.29, "word": " B", "probability": 0.91650390625}, {"start": 920.29, "end": 921.33, "word": " بيكون", "probability": 0.7439778645833334}, {"start": 921.33, "end": 922.03, "word": " ساوية", "probability": 0.96630859375}, {"start": 922.03, "end": 922.55, "word": " A", "probability": 0.56494140625}, {"start": 922.55, "end": 923.41, "word": " انفرز", "probability": 0.66363525390625}], "temperature": 1.0}, {"id": 41, "seek": 96348, "start": 935.48, "end": 963.48, "text": "أظن أن هذا الشجة انتهي هنا منها خلاص وين وصلت الورقة اللي بتلف؟ كل واحدة علمت من اللي قعدت علي اسمها", "tokens": [10721, 19913, 1863, 14739, 23758, 25124, 7435, 3660, 16472, 47395, 1829, 34105, 9154, 11296, 16490, 1211, 33546, 4032, 9957, 4032, 36520, 2655, 2423, 13063, 28671, 13672, 1829, 39894, 46538, 22807, 28242, 36764, 24401, 3660, 11203, 2304, 2655, 9154, 13672, 1829, 12174, 22488, 2655, 25894, 24525, 2304, 11296], "avg_logprob": -0.24479166666666666, "compression_ratio": 1.4516129032258065, "no_speech_prob": 0.0, "words": [{"start": 935.48, "end": 935.88, "word": "أظن", "probability": 0.78662109375}, {"start": 935.88, "end": 936.0, "word": " أن", "probability": 0.59326171875}, {"start": 936.0, "end": 936.12, "word": " هذا", "probability": 0.2154541015625}, {"start": 936.12, "end": 936.48, "word": " الشجة", "probability": 0.8147786458333334}, {"start": 936.48, "end": 936.68, "word": " انتهي", "probability": 0.699951171875}, {"start": 936.68, "end": 936.88, "word": " هنا", "probability": 0.76611328125}, {"start": 936.88, "end": 937.14, "word": " منها", "probability": 0.67138671875}, {"start": 937.14, "end": 938.6, "word": " خلاص", "probability": 0.9178059895833334}, {"start": 938.6, "end": 957.82, "word": " وين", "probability": 0.772705078125}, {"start": 957.82, "end": 958.3, "word": " وصلت", "probability": 0.9578450520833334}, {"start": 958.3, "end": 958.68, "word": " الورقة", "probability": 0.9059244791666666}, {"start": 958.68, "end": 958.82, "word": " اللي", "probability": 0.9345703125}, {"start": 958.82, "end": 960.92, "word": " بتلف؟", "probability": 0.7744954427083334}, {"start": 960.92, "end": 961.38, "word": " كل", "probability": 0.95361328125}, {"start": 961.38, "end": 961.9, "word": " واحدة", "probability": 0.83056640625}, {"start": 961.9, "end": 962.36, "word": " علمت", "probability": 0.9137369791666666}, {"start": 962.36, "end": 962.46, "word": " من", "probability": 0.90283203125}, {"start": 962.46, "end": 962.58, "word": " اللي", "probability": 0.9423828125}, {"start": 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"ممتاز جدا يبقى انا طلعت حصل ضرب كميتين يساوي واحد صحيح واتنين are real number", "tokens": [2304, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 1975, 8315, 23032, 1211, 34268, 11331, 36520, 48812, 25513, 9122, 2304, 36081, 9957, 7251, 3794, 995, 45865, 36764, 24401, 20328, 5016, 1829, 5016, 4032, 9307, 1863, 9957, 366, 957, 1230], "avg_logprob": -0.22541921313216046, "compression_ratio": 1.165137614678899, "no_speech_prob": 0.0, "words": [{"start": 1228.94, "end": 1229.94, "word": "ممتاز", "probability": 0.7061538696289062}, {"start": 1229.94, "end": 1230.32, "word": " جدا", "probability": 0.947021484375}, {"start": 1230.32, "end": 1231.22, "word": " يبقى", "probability": 0.81500244140625}, {"start": 1231.22, "end": 1231.52, "word": " انا", "probability": 0.76708984375}, {"start": 1231.52, "end": 1232.2, "word": " طلعت", "probability": 0.96240234375}, {"start": 1232.2, "end": 1232.78, "word": " حصل", "probability": 0.73876953125}, {"start": 1232.78, "end": 1233.12, "word": " 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zero", "tokens": [3224, 1211, 7251, 43020, 5296, 10721, 24401, 3224, 15042, 14739, 6055, 30544, 4018, 8978, 7251, 20498, 9154, 16247, 1829, 10943, 12399, 35525, 2407, 3714, 25720, 36764, 24401, 3660, 8978, 16712, 9640, 1829, 9778, 12399, 32239, 3794, 11933, 2304, 41361, 10632, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 14739, 2423, 41296, 5296, 15040, 1829, 3224, 20193, 7251, 43020, 14739, 7251, 3794, 995, 45865, 4018, 3714, 18513, 10943, 11331, 36520, 48812, 25513, 16247, 2655, 1863, 9957, 4724, 3794, 2407, 27884, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 5551, 24401, 16095, 20193, 32640, 19452, 14739, 7251, 30544, 4018], "avg_logprob": -0.26849489552634104, "compression_ratio": 1.6824644549763033, "no_speech_prob": 0.0, "words": [{"start": 1237.63, "end": 1238.17, "word": "هل", "probability": 0.966552734375}, {"start": 1238.17, "end": 1238.71, "word": " يمكن", "probability": 0.94091796875}, {"start": 1238.71, "end": 1240.29, "word": " لأحدهما", "probability": 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عامل مشترك بيظل C نقص كده؟ نقص واحد", "tokens": [3555, 1863, 28543, 2288, 8717, 47283, 3215, 6225, 10943, 1211, 37893, 2655, 31747, 9154, 29538, 9673, 3615, 18513, 37977, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 4724, 1829, 9381, 13546, 43242, 8315, 22807, 1975, 1829, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 383, 8717, 4587, 9381, 9122, 3215, 3224, 22807, 8717, 4587, 9381, 36764, 24401], "avg_logprob": -0.21040783443693387, "compression_ratio": 1.4915254237288136, "no_speech_prob": 0.0, "words": [{"start": 1405.91, "end": 1406.77, "word": "بنقدر", "probability": 0.78125}, {"start": 1406.77, "end": 1407.25, "word": " ناخد", "probability": 0.9794921875}, {"start": 1407.25, "end": 1407.65, "word": " عامل", "probability": 0.95654296875}, {"start": 1407.65, "end": 1408.17, "word": " مشترك", "probability": 0.9718424479166666}, {"start": 1408.17, "end": 1408.37, "word": " من", "probability": 0.95654296875}, {"start": 1408.37, "end": 1408.69, "word": " هذه", 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"word": " كده؟", "probability": 0.746337890625}, {"start": 1416.71, "end": 1417.91, "word": " نقص", "probability": 0.9485677083333334}, {"start": 1417.91, "end": 1418.49, "word": " واحد", "probability": 0.920166015625}], "temperature": 1.0}, {"id": 62, "seek": 144019, "start": 1421.65, "end": 1440.19, "text": "نقص ال identity matrix مش واحد يبقى ناقص ال identity matrix و إلا و هذا الكلام بده يساوي مين؟ بده يساوي زي ما و إلا لو كان واحد هل بقدر أضيف الواحد لأي مصفوفة؟", "tokens": [1863, 4587, 9381, 2423, 6575, 8141, 37893, 36764, 24401, 7251, 3555, 4587, 7578, 8717, 995, 4587, 9381, 2423, 6575, 8141, 4032, 11933, 15040, 4032, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 22807, 47525, 3224, 7251, 3794, 995, 45865, 30767, 1829, 19446, 4032, 11933, 15040, 45164, 25961, 36764, 24401, 8032, 1211, 4724, 28543, 2288, 5551, 11242, 33911, 2423, 14407, 24401, 5296, 10721, 1829, 3714, 9381, 5172, 38688, 3660, 22807], "avg_logprob": -0.1906672226818832, 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{"start": 1428.67, "end": 1428.85, "word": " و", "probability": 0.8017578125}, {"start": 1428.85, "end": 1429.23, "word": " إلا", "probability": 0.6248779296875}, {"start": 1429.23, "end": 1430.01, "word": " و", "probability": 0.56298828125}, {"start": 1430.01, "end": 1430.27, "word": " هذا", "probability": 0.9140625}, {"start": 1430.27, "end": 1430.71, "word": " الكلام", "probability": 0.9480794270833334}, {"start": 1430.71, "end": 1431.09, "word": " بده", "probability": 0.690185546875}, {"start": 1431.09, "end": 1431.43, "word": " يساوي", "probability": 0.9796142578125}, {"start": 1431.43, "end": 1432.11, "word": " مين؟", "probability": 0.7584635416666666}, {"start": 1432.11, "end": 1432.63, "word": " بده", "probability": 0.8984375}, {"start": 1432.63, "end": 1433.15, "word": " يساوي", "probability": 0.99169921875}, {"start": 1433.15, "end": 1433.51, "word": " زي", "probability": 0.5108642578125}, {"start": 1433.51, "end": 1433.63, "word": " ما", "probability": 0.215576171875}, 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1469.24, "text": "ولو كان واحد كان قولنا هذه يبقى هذه بدها تساوي Zero أو هذه بدها تساوي Zero صحيح ولا لا؟ إذا بصير ال C نقص للواحد تساوي Zero يبقى المصفوفة C تساوي Zero صحيح هذا الكلام؟ أو تساوي واحد واحد number رقم مش مصفوفة يبقى ليس صحيح يبقى لما ناخد عامل مشترك في حالة المصفوفة بدل الواحد في العملية الشغل العادى بيصير ال identity matrix", "tokens": [12610, 2407, 25961, 36764, 24401, 25961, 12174, 12610, 8315, 29538, 7251, 3555, 4587, 7578, 29538, 47525, 11296, 6055, 3794, 995, 45865, 17182, 34051, 29538, 47525, 11296, 6055, 3794, 995, 45865, 17182, 20328, 5016, 1829, 5016, 49429, 20193, 22807, 11933, 15730, 4724, 9381, 13546, 2423, 383, 8717, 4587, 9381, 24976, 14407, 24401, 6055, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 9673, 9381, 5172, 38688, 3660, 383, 6055, 3794, 995, 45865, 17182, 20328, 5016, 1829, 5016, 23758, 2423, 28820, 10943, 22807, 34051, 6055, 3794, 995, 45865, 36764, 24401, 36764, 24401, 1230, 12602, 4587, 2304, 37893, 3714, 9381, 5172, 38688, 3660, 7251, 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يبقى", "probability": 0.81182861328125}, {"start": 1443.38, "end": 1443.62, "word": " هذه", "probability": 0.81494140625}, {"start": 1443.62, "end": 1443.96, "word": " بدها", "probability": 0.5382080078125}, {"start": 1443.96, "end": 1444.34, "word": " تساوي", "probability": 0.9520263671875}, {"start": 1444.34, "end": 1444.68, "word": " Zero", "probability": 0.201171875}, {"start": 1444.68, "end": 1444.94, "word": " أو", "probability": 0.58056640625}, {"start": 1444.94, "end": 1445.22, "word": " هذه", "probability": 0.8779296875}, {"start": 1445.22, "end": 1445.5, "word": " بدها", "probability": 0.85791015625}, {"start": 1445.5, "end": 1445.94, "word": " تساوي", "probability": 0.98974609375}, {"start": 1445.94, "end": 1446.34, "word": " Zero", "probability": 0.943359375}, {"start": 1446.34, "end": 1447.16, "word": " صحيح", "probability": 0.9671630859375}, {"start": 1447.16, "end": 1447.32, "word": " ولا", "probability": 0.93310546875}, {"start": 1447.32, "end": 1447.94, "word": " لا؟", "probability": 0.5184326171875}, {"start": 1447.94, "end": 1448.22, "word": " إذا", "probability": 0.697509765625}, {"start": 1448.22, "end": 1448.74, "word": " بصير", "probability": 0.8479817708333334}, {"start": 1448.74, "end": 1448.94, "word": " ال", "probability": 0.87646484375}, {"start": 1448.94, "end": 1449.1, "word": " C", "probability": 0.393798828125}, {"start": 1449.1, "end": 1449.58, "word": " نقص", "probability": 0.9427083333333334}, {"start": 1449.58, "end": 1450.28, "word": " للواحد", "probability": 0.8121744791666666}, {"start": 1450.28, "end": 1450.78, "word": " تساوي", "probability": 0.9793701171875}, {"start": 1450.78, "end": 1451.14, "word": " Zero", "probability": 0.955078125}, {"start": 1451.14, "end": 1451.8, "word": " يبقى", "probability": 0.9476318359375}, {"start": 1451.8, "end": 1452.56, "word": " المصفوفة", "probability": 0.8501953125}, {"start": 1452.56, "end": 1452.8, "word": " C", "probability": 0.78759765625}, {"start": 1452.8, "end": 1453.46, "word": " تساوي", "probability": 0.9644775390625}, {"start": 1453.46, "end": 1453.78, "word": " Zero", "probability": 0.97021484375}, {"start": 1453.78, "end": 1454.26, "word": " صحيح", "probability": 0.9654541015625}, {"start": 1454.26, "end": 1454.46, "word": " هذا", "probability": 0.951171875}, {"start": 1454.46, "end": 1455.18, "word": " الكلام؟", "probability": 0.9185791015625}, {"start": 1455.18, "end": 1455.4, "word": " أو", "probability": 0.66748046875}, {"start": 1455.4, "end": 1455.88, "word": " تساوي", "probability": 0.9864501953125}, {"start": 1455.88, "end": 1456.28, "word": " واحد", "probability": 0.979736328125}, {"start": 1456.28, "end": 1456.98, "word": " واحد", "probability": 0.7283935546875}, {"start": 1456.98, "end": 1457.28, "word": " number", "probability": 0.376708984375}, {"start": 1457.28, "end": 1458.32, "word": " رقم", "probability": 0.8085123697916666}, {"start": 1458.32, "end": 1458.52, "word": " مش", "probability": 0.66552734375}, {"start": 1458.52, "end": 1459.22, "word": " مصفوفة", "probability": 0.97861328125}, {"start": 1459.22, "end": 1459.78, "word": " يبقى", "probability": 0.947265625}, {"start": 1459.78, "end": 1460.14, "word": " ليس", "probability": 0.978759765625}, {"start": 1460.14, "end": 1460.46, "word": " صحيح", "probability": 0.9822998046875}, {"start": 1460.46, "end": 1460.7, "word": " يبقى", "probability": 0.98486328125}, {"start": 1460.7, "end": 1460.92, "word": " لما", "probability": 0.88427734375}, {"start": 1460.92, "end": 1461.46, "word": " ناخد", "probability": 0.68603515625}, {"start": 1461.46, "end": 1461.74, "word": " عامل", "probability": 0.8650716145833334}, {"start": 1461.74, "end": 1462.16, "word": " مشترك", "probability": 0.8797200520833334}, {"start": 1462.16, "end": 1462.64, "word": " في", "probability": 0.64697265625}, {"start": 1462.64, "end": 1463.08, "word": " حالة", "probability": 0.9954427083333334}, {"start": 1463.08, "end": 1463.7, "word": " المصفوفة", "probability": 0.9443359375}, {"start": 1463.7, "end": 1464.18, "word": " بدل", "probability": 0.98193359375}, {"start": 1464.18, "end": 1464.8, "word": " الواحد", "probability": 0.98095703125}, {"start": 1464.8, "end": 1465.28, "word": " في", "probability": 0.9736328125}, {"start": 1465.28, "end": 1466.0, "word": " العملية", "probability": 0.9246419270833334}, {"start": 1466.0, "end": 1466.68, "word": " الشغل", "probability": 0.94580078125}, {"start": 1466.68, "end": 1467.18, "word": " العادى", "probability": 0.9078776041666666}, {"start": 1467.18, "end": 1467.62, "word": " بيصير", "probability": 0.71160888671875}, {"start": 1467.62, "end": 1467.8, "word": " ال", "probability": 0.8544921875}, {"start": 1467.8, "end": 1468.54, "word": " identity", "probability": 0.64990234375}, {"start": 1468.54, "end": 1469.24, "word": " matrix", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 64, "seek": 149777, "start": 1469.79, "end": 1497.77, "text": "تمام تمام يبقى توصلنا الى انه الكلام اللى عندنا طيب احنا عندنا يا بنات ان ال a inverse exist و ال determinant لا يمكن ان يساوي zero تمام يبقى معنى هذا الكلام ان المصوفة لا يمكن ان تساوي zero يبقى مين اللى بده يساوي zero ال C ناقص الله او بمعنى اخر", "tokens": [39237, 10943, 46811, 10943, 7251, 3555, 4587, 7578, 33427, 36520, 8315, 2423, 7578, 16472, 3224, 2423, 28820, 10943, 13672, 7578, 43242, 8315, 23032, 1829, 3555, 1975, 5016, 8315, 43242, 8315, 35186, 4724, 8315, 2655, 16472, 2423, 257, 17340, 2514, 4032, 2423, 41296, 20193, 7251, 43020, 16472, 7251, 3794, 995, 45865, 4018, 46811, 10943, 7251, 3555, 4587, 7578, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 9673, 9381, 38688, 3660, 20193, 7251, 43020, 16472, 6055, 3794, 995, 45865, 4018, 7251, 3555, 4587, 7578, 3714, 9957, 13672, 7578, 47525, 3224, 7251, 3794, 995, 45865, 4018, 2423, 383, 8717, 995, 4587, 9381, 21984, 1975, 2407, 4724, 2304, 3615, 1863, 7578, 1975, 34740], "avg_logprob": -0.17201705195687034, "compression_ratio": 2.00990099009901, "no_speech_prob": 0.0, "words": [{"start": 1469.79, "end": 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"probability": 0.5927734375}, {"start": 1772.59, "end": 1772.87, "word": " ال", "probability": 0.794921875}, {"start": 1772.87, "end": 1774.21, "word": " بي", "probability": 0.690185546875}, {"start": 1774.21, "end": 1774.65, "word": " and", "probability": 0.75341796875}, {"start": 1774.65, "end": 1775.03, "word": " ال", "probability": 0.57763671875}, {"start": 1775.03, "end": 1775.77, "word": " سي", "probability": 0.86474609375}, {"start": 1775.77, "end": 1777.31, "word": " are", "probability": 0.93896484375}, {"start": 1777.31, "end": 1778.81, "word": " two", "probability": 0.81005859375}], "temperature": 1.0}, {"id": 76, "seek": 180719, "start": 1781.57, "end": 1807.19, "text": "inverses of the matrix A then مدالها دول معكوسين طبقا لهذا التعريف يبقاش بده يصير عنها A في B بده يساوي B في A بده يساوي identity matrix", "tokens": [259, 840, 279, 295, 264, 8141, 316, 550, 3714, 3215, 6027, 11296, 11778, 12610, 20449, 4117, 41779, 9957, 23032, 3555, 4587, 995, 46740, 15730, 16712, 3615, 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يمكن", "probability": 0.99267578125}, {"start": 1976.63, "end": 1977.35, "word": " إيجاد", "probability": 0.9306640625}, {"start": 1977.35, "end": 1978.11, "word": " المعكوس", "probability": 0.9356689453125}, {"start": 1978.11, "end": 1979.07, "word": " لمصوفة", "probability": 0.91259765625}, {"start": 1979.07, "end": 1980.03, "word": " ما؟", "probability": 0.706298828125}, {"start": 1980.03, "end": 1980.53, "word": " احنا", "probability": 0.8738606770833334}, {"start": 1980.53, "end": 1981.15, "word": " اتكلمنا", "probability": 0.90986328125}, {"start": 1981.15, "end": 1981.63, "word": " وحطينا", "probability": 0.76328125}, {"start": 1981.63, "end": 1982.17, "word": " العنوان", "probability": 0.9422607421875}, {"start": 1982.17, "end": 1983.05, "word": " معكوس", "probability": 0.72369384765625}, {"start": 1983.05, "end": 1983.63, "word": " المصوفة", "probability": 0.979248046875}, {"start": 1983.63, "end": 1984.19, "word": " حتى", "probability": 0.502471923828125}, {"start": 1984.19, 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"text": "to find a inverse for the n by n matrix A الشكل لأن أنا الاجابة في أكثر من طريقة بالداخل ال first method الطريقة الأولى لإيجاد المعكوس", "tokens": [1353, 915, 257, 17340, 337, 264, 297, 538, 297, 8141, 316, 25124, 28820, 5296, 33456, 41850, 2423, 26108, 16758, 3660, 8978, 5551, 4117, 49115, 9154, 23032, 16572, 28671, 20666, 3215, 47283, 1211, 2423, 700, 3170, 41950, 16572, 28671, 16247, 12610, 7578, 5296, 28814, 1829, 7435, 18513, 9673, 3615, 4117, 41779], "avg_logprob": -0.291666680691289, "compression_ratio": 1.2987012987012987, "no_speech_prob": 0.0, "words": [{"start": 2004.77, "end": 2005.41, "word": "to", "probability": 0.384765625}, {"start": 2005.41, "end": 2006.31, "word": " find", "probability": 0.91650390625}, {"start": 2006.31, "end": 2008.81, "word": " a", "probability": 0.53515625}, {"start": 2008.81, "end": 2009.73, "word": " inverse", "probability": 0.8359375}, {"start": 2009.73, "end": 2011.97, "word": " for", "probability": 0.857421875}, {"start": 2011.97, "end": 2013.57, "word": " the", "probability": 0.80126953125}, {"start": 2013.57, "end": 2014.71, "word": " n", "probability": 0.67822265625}, {"start": 2014.71, "end": 2015.77, "word": " by", "probability": 0.69775390625}, {"start": 2015.77, "end": 2016.45, "word": " n", "probability": 0.93408203125}, {"start": 2016.45, "end": 2018.23, "word": " matrix", "probability": 0.943359375}, {"start": 2018.23, "end": 2019.03, "word": " A", "probability": 0.62109375}, {"start": 2019.03, "end": 2020.67, "word": " الشكل", "probability": 0.639404296875}, {"start": 2020.67, "end": 2020.99, "word": " لأن", "probability": 0.5709228515625}, {"start": 2020.99, "end": 2021.23, "word": " أنا", "probability": 0.2252197265625}, {"start": 2021.23, "end": 2023.25, "word": " الاجابة", "probability": 0.74261474609375}, {"start": 2023.25, "end": 2023.69, "word": " في", "probability": 0.8349609375}, {"start": 2023.69, "end": 2024.17, "word": " أكثر", "probability": 0.884765625}, {"start": 2024.17, "end": 2024.47, "word": " من", "probability": 0.99658203125}, {"start": 2024.47, "end": 2025.05, "word": " طريقة", "probability": 0.9923502604166666}, {"start": 2025.05, "end": 2026.19, "word": " بالداخل", "probability": 0.478851318359375}, {"start": 2026.19, "end": 2026.45, "word": " ال", "probability": 0.7353515625}, {"start": 2026.45, "end": 2027.17, "word": " first", "probability": 0.358154296875}, {"start": 2027.17, "end": 2028.23, "word": " method", "probability": 0.974609375}, {"start": 2028.23, "end": 2030.33, "word": " الطريقة", "probability": 0.9632161458333334}, {"start": 2030.33, "end": 2030.89, "word": " الأولى", "probability": 0.9915364583333334}, {"start": 2030.89, "end": 2031.57, "word": " لإيجاد", "probability": 0.9748046875}, {"start": 2031.57, "end": 2032.45, "word": " المعكوس", "probability": 0.9061279296875}], "temperature": 1.0}, {"id": 87, "seek": 206238, "start": 2033.3, "end": 2062.38, "text": "خطوتين لثالث لهم الخطوة الأولى write the argumented matrix اكتب المصوفة الموسعة a ومعها مين مصوفة الوحدة نمر اتنين use", "tokens": [9778, 9566, 35473, 9957, 5296, 12984, 6027, 12984, 5296, 16095, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 2464, 264, 6770, 292, 8141, 1975, 4117, 2655, 3555, 9673, 9381, 38688, 3660, 9673, 41779, 27884, 257, 4032, 2304, 3615, 11296, 3714, 9957, 3714, 9381, 38688, 3660, 2423, 2407, 24401, 3660, 8717, 29973, 1975, 2655, 1863, 9957, 764], "avg_logprob": -0.20340401413185255, "compression_ratio": 1.3795620437956204, "no_speech_prob": 0.0, "words": [{"start": 2033.3, "end": 2034.34, "word": "خطوتين", "probability": 0.83782958984375}, {"start": 2034.34, "end": 2035.14, "word": " لثالث", "probability": 0.9493408203125}, {"start": 2035.14, "end": 2035.48, "word": " لهم", "probability": 0.75537109375}, {"start": 2035.48, "end": 2036.04, "word": " الخطوة", "probability": 0.9134521484375}, {"start": 2036.04, "end": 2036.84, "word": " الأولى", "probability": 0.9581705729166666}, {"start": 2036.84, "end": 2038.04, "word": " write", 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نمر", "probability": 0.64990234375}, {"start": 2058.74, "end": 2059.38, "word": " اتنين", "probability": 0.965576171875}, {"start": 2059.38, "end": 2062.38, "word": " use", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 88, "seek": 209321, "start": 2065.13, "end": 2093.21, "text": "Echelon form use echelon form to write to write the matrix ايه مع", "tokens": [36, 339, 338, 266, 1254, 764, 36803, 338, 266, 1254, 281, 2464, 281, 2464, 264, 8141, 1975, 1829, 3224, 20449], "avg_logprob": -0.3415178684961228, "compression_ratio": 1.1864406779661016, "no_speech_prob": 0.0, "words": [{"start": 2065.13, "end": 2066.11, "word": "Echelon", "probability": 0.6912841796875}, {"start": 2066.11, "end": 2066.95, "word": " form", "probability": 0.5087890625}, {"start": 2066.95, "end": 2072.91, "word": " use", "probability": 0.2274169921875}, {"start": 2072.91, "end": 2073.43, "word": " echelon", "probability": 0.8546549479166666}, {"start": 2073.43, "end": 2074.01, "word": " form", "probability": 0.94970703125}, {"start": 2074.01, "end": 2074.75, "word": " to", "probability": 0.912109375}, {"start": 2074.75, "end": 2075.41, "word": " write", "probability": 0.935546875}, {"start": 2075.41, "end": 2080.05, "word": " to", "probability": 0.66552734375}, {"start": 2080.05, "end": 2080.73, "word": " write", "probability": 0.943359375}, {"start": 2080.73, "end": 2085.71, "word": " the", "probability": 0.64404296875}, {"start": 2085.71, "end": 2086.61, "word": " matrix", "probability": 0.93896484375}, {"start": 2086.61, "end": 2091.27, "word": " ايه", "probability": 0.7556966145833334}, {"start": 2091.27, "end": 2093.21, "word": " مع", "probability": 0.6826171875}], "temperature": 1.0}, {"id": 89, "seek": 212319, "start": 2093.73, "end": 2123.19, "text": "الـ I N A مع ال I N in the form في الشكل I N و بعدين B then B اللي بتطلع بتكون هي معكوس المصفوفة A نعطي مثال", "tokens": [6027, 39184, 286, 426, 316, 20449, 2423, 286, 426, 294, 264, 1254, 8978, 25124, 28820, 286, 426, 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matrix المعكوس المصفوفة اللي قدامنا هذه إذا أنا بدي أطبقله الخطوطين اللي قلنا عليهم يبقى بدايجي أخدله ال argumentive matrix اللي هي ال A مع مين مع المصفوفة I يبقى هذا الكلام بده يساوي", "tokens": [1078, 507, 8141, 9673, 3615, 4117, 41779, 9673, 9381, 5172, 38688, 3660, 13672, 1829, 12174, 3215, 10943, 8315, 29538, 11933, 15730, 41850, 4724, 16254, 5551, 9566, 3555, 4587, 43761, 33962, 9566, 2407, 9566, 9957, 13672, 1829, 12174, 1211, 8315, 25894, 16095, 7251, 3555, 4587, 7578, 4724, 28259, 1829, 7435, 1829, 5551, 9778, 3215, 43761, 2423, 6770, 488, 8141, 13672, 1829, 39896, 2423, 316, 20449, 3714, 9957, 20449, 9673, 9381, 5172, 38688, 3660, 286, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.29332387244159525, "compression_ratio": 1.6772486772486772, "no_speech_prob": 0.0, "words": [{"start": 2232.83, "end": 2233.81, "word": "identity", "probability": 0.5712890625}, {"start": 2233.81, "end": 2234.29, "word": " matrix", 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2251.51, "word": " مع", "probability": 0.99365234375}, {"start": 2251.51, "end": 2252.01, "word": " مين", "probability": 0.7161865234375}, {"start": 2252.01, "end": 2252.67, "word": " مع", "probability": 0.88232421875}, {"start": 2252.67, "end": 2253.93, "word": " المصفوفة", "probability": 0.973828125}, {"start": 2253.93, "end": 2254.27, "word": " I", "probability": 0.96484375}, {"start": 2254.27, "end": 2255.17, "word": " يبقى", "probability": 0.9617919921875}, {"start": 2255.17, "end": 2255.41, "word": " هذا", "probability": 0.96875}, {"start": 2255.41, "end": 2255.93, "word": " الكلام", "probability": 0.9703776041666666}, {"start": 2255.93, "end": 2256.31, "word": " بده", "probability": 0.61669921875}, {"start": 2256.31, "end": 2256.79, "word": " يساوي", "probability": 0.941650390625}], "temperature": 1.0}, {"id": 97, "seek": 227455, "start": 2257.35, "end": 2274.55, "text": "هذه المصوفة هاي واحد هاي تلاتة هاي سالب واحد Zero واحد اتنين سالب واحد Zero تمانية هو Y الخاطر المصوفة الواحدة واحد من نفس النظامها Zero واحد Zero Zero Zero واحد", "tokens": [3224, 24192, 9673, 9381, 38688, 3660, 8032, 47302, 36764, 24401, 8032, 47302, 6055, 1211, 9307, 3660, 8032, 47302, 8608, 6027, 3555, 36764, 24401, 17182, 36764, 24401, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 36764, 24401, 17182, 46811, 7649, 10632, 31439, 398, 33962, 41193, 2288, 9673, 9381, 38688, 3660, 2423, 14407, 24401, 3660, 36764, 24401, 9154, 8717, 36178, 28239, 19913, 10943, 11296, 17182, 36764, 24401, 17182, 17182, 17182, 36764, 24401], "avg_logprob": -0.2810267737933568, "compression_ratio": 2.0381679389312977, "no_speech_prob": 0.0, "words": [{"start": 2257.35, "end": 2257.83, "word": "هذه", "probability": 0.47705078125}, {"start": 2257.83, "end": 2258.55, "word": " المصوفة", "probability": 0.73760986328125}, {"start": 2258.55, "end": 2258.91, "word": " هاي", "probability": 0.3931884765625}, {"start": 2258.91, "end": 2259.31, "word": " واحد", "probability": 0.937744140625}, {"start": 2259.31, "end": 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{"start": 2272.51, "end": 2273.03, "word": " Zero", "probability": 0.88134765625}, {"start": 2273.03, "end": 2273.77, "word": " Zero", "probability": 0.970703125}, {"start": 2273.77, "end": 2274.55, "word": " واحد", "probability": 0.905517578125}], "temperature": 1.0}, {"id": 98, "seek": 229086, "start": 2275.88, "end": 2290.86, "text": "أعمل اللي بدك هي رياضيا بحيث أخلي مصوفة الوحدة في هذا المكان وهذه تنتقل بأرقام جديدة لوين إلى اليامين كويس يبقى مشان هيك أنا بدي هذا يكون جداش", "tokens": [10721, 25957, 1211, 13672, 1829, 47525, 4117, 39896, 12602, 1829, 46958, 25528, 4724, 5016, 1829, 12984, 5551, 9778, 20292, 3714, 9381, 38688, 3660, 2423, 2407, 24401, 3660, 8978, 23758, 9673, 41361, 37037, 24192, 6055, 29399, 4587, 1211, 4724, 10721, 2288, 4587, 10943, 10874, 16254, 41891, 5296, 2407, 9957, 30731, 45595, 10943, 9957, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 37893, 7649, 39896, 4117, 41850, 4724, 16254, 23758, 7251, 30544, 10874, 3215, 33599], "avg_logprob": -0.3035102772386107, "compression_ratio": 1.6474358974358974, "no_speech_prob": 0.0, "words": [{"start": 2275.88, "end": 2276.48, "word": "أعمل", "probability": 0.63092041015625}, {"start": 2276.48, "end": 2276.56, "word": " اللي", "probability": 0.46795654296875}, {"start": 2276.56, "end": 2276.9, "word": " بدك", "probability": 0.880615234375}, {"start": 2276.9, "end": 2277.12, "word": " هي", "probability": 0.90869140625}, {"start": 2277.12, "end": 2278.0, "word": " رياضيا", "probability": 0.916748046875}, {"start": 2278.0, "end": 2278.8, "word": " بحيث", "probability": 0.847412109375}, {"start": 2278.8, "end": 2279.36, "word": " أخلي", "probability": 0.6470540364583334}, {"start": 2279.36, "end": 2280.02, "word": " مصوفة", "probability": 0.645050048828125}, {"start": 2280.02, "end": 2280.44, "word": " الوحدة", "probability": 0.943603515625}, {"start": 2280.44, "end": 2280.6, "word": " في", "probability": 0.95458984375}, {"start": 2280.6, "end": 2280.84, "word": " هذا", "probability": 0.9560546875}, {"start": 2280.84, "end": 2281.4, "word": " المكان", "probability": 0.992919921875}, {"start": 2281.4, "end": 2282.46, "word": " وهذه", "probability": 0.774169921875}, {"start": 2282.46, "end": 2283.18, "word": " تنتقل", "probability": 0.9705810546875}, {"start": 2283.18, "end": 2283.78, "word": " بأرقام", "probability": 0.97529296875}, {"start": 2283.78, "end": 2284.32, "word": " جديدة", "probability": 0.9895833333333334}, {"start": 2284.32, "end": 2284.92, "word": " لوين", "probability": 0.5349527994791666}, {"start": 2284.92, "end": 2285.6, "word": " إلى", "probability": 0.349609375}, {"start": 2285.6, "end": 2286.4, "word": " اليامين", "probability": 0.620361328125}, {"start": 2286.4, "end": 2287.32, "word": " كويس", "probability": 0.7710774739583334}, {"start": 2287.32, "end": 2288.04, "word": " يبقى", "probability": 0.8800048828125}, {"start": 2288.04, "end": 2288.44, "word": " مشان", "probability": 0.73193359375}, {"start": 2288.44, "end": 2288.82, "word": " هيك", "probability": 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"probability": 0.8291015625}, {"start": 2310.95, "end": 2311.59, "word": " سالب", "probability": 0.9435221354166666}, {"start": 2311.59, "end": 2312.23, "word": " واحد", "probability": 0.982177734375}, {"start": 2312.23, "end": 2312.73, "word": " و", "probability": 0.76025390625}, {"start": 2312.73, "end": 2313.29, "word": " واحد", "probability": 0.6929931640625}, {"start": 2313.29, "end": 2313.77, "word": " Zero", "probability": 0.19580078125}, {"start": 2313.77, "end": 2314.49, "word": " Zero", "probability": 0.60693359375}, {"start": 2314.49, "end": 2315.47, "word": " هيقفلنا", "probability": 0.840576171875}], "temperature": 1.0}, {"id": 100, "seek": 234317, "start": 2316.02, "end": 2343.18, "text": "نجي لبعده زي ما هو Zero واحد اتنين Zero واحد Zero اضفنا إضافة يبقى هنا Zero وهنا تلاتة تمام؟ واضفنا يبقى هنا سبعة واضفنا يبقى هنا واحد وهنا Zero وهنا واحد لأنه إضافة ماسويتش أشياء واضحة زين؟ في أي تسويل؟ طيب، نكمل", "tokens": [1863, 7435, 1829, 5296, 3555, 22488, 3224, 30767, 1829, 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1.0}, {"id": 103, "seek": 239421, "start": 2378.41, "end": 2394.21, "text": "و لما ضربت في سالب تلاتة بيصير سالب ستة و سالب واحد سالب سبعة سالب تلاتة بيصير هنا واحد زي ما هي و هنا سالب تلاتة مظبوط يا بنات؟", "tokens": [2407, 5296, 15042, 48812, 25513, 2655, 8978, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4724, 1829, 9381, 13546, 8608, 6027, 3555, 8608, 2655, 3660, 4032, 8608, 6027, 3555, 36764, 24401, 8608, 6027, 3555, 8608, 3555, 27884, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 4724, 1829, 9381, 13546, 34105, 36764, 24401, 30767, 1829, 19446, 39896, 4032, 34105, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 3714, 19913, 3555, 2407, 9566, 35186, 4724, 8315, 2655, 22807], "avg_logprob": -0.20217482423460162, "compression_ratio": 1.9322033898305084, "no_speech_prob": 0.0, "words": [{"start": 2378.41, "end": 2378.55, "word": "و", "probability": 0.2274169921875}, {"start": 2378.55, "end": 2378.83, "word": " لما", "probability": 0.56024169921875}, {"start": 2378.83, "end": 2379.47, "word": " 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2631.05, "word": " في", "probability": 0.17822265625}, {"start": 2631.05, "end": 2634.57, "word": " الماتريكس", "probability": 0.95625}, {"start": 2634.57, "end": 2635.33, "word": " A", "probability": 0.95166015625}, {"start": 2635.33, "end": 2637.17, "word": " من", "probability": 0.5126953125}, {"start": 2637.17, "end": 2637.33, "word": " الـ", "probability": 0.149688720703125}, {"start": 2637.33, "end": 2638.35, "word": " Cofactor", "probability": 0.6946614583333334}, {"start": 2638.35, "end": 2639.83, "word": " من", "probability": 0.89013671875}, {"start": 2639.83, "end": 2641.25, "word": " الـ", "probability": 0.4571533203125}, {"start": 2641.25, "end": 2643.49, "word": " Cofactor", "probability": 0.888671875}, {"start": 2643.49, "end": 2646.45, "word": " من", "probability": 0.912109375}, {"start": 2646.45, "end": 2646.65, "word": " الـ", "probability": 0.642822265625}, {"start": 2646.65, "end": 2647.71, "word": " Cofactor", "probability": 0.8883463541666666}, {"start": 2647.71, "end": 2648.67, "word": " من", "probability": 0.650390625}, {"start": 2648.67, "end": 2651.89, "word": " AIG", "probability": 0.623291015625}, {"start": 2651.89, "end": 2653.89, "word": " وهو", "probability": 0.55145263671875}, {"start": 2653.89, "end": 2656.09, "word": " IN", "probability": 0.24072265625}], "temperature": 1.0}, {"id": 115, "seek": 268090, "start": 2657.54, "end": 2680.9, "text": "replace استبدل a i j by by a i j بدي اسوي السلب واحد مرفوع للأس واحد زائد j في ال minor اللي هو m i j", "tokens": [265, 6742, 44713, 44510, 1211, 257, 741, 361, 538, 538, 257, 741, 361, 4724, 16254, 24525, 45865, 21136, 46152, 36764, 24401, 3714, 28480, 45367, 24976, 10721, 3794, 36764, 24401, 30767, 16373, 3215, 361, 8978, 2423, 6696, 13672, 1829, 31439, 275, 741, 361], "avg_logprob": -0.3895348823347757, "compression_ratio": 1.2820512820512822, "no_speech_prob": 0.0, "words": [{"start": 2657.54, "end": 2658.72, "word": "replace", "probability": 0.64990234375}, {"start": 2658.72, "end": 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"probability": 0.9072265625}, {"start": 2680.52, "end": 2680.9, "word": " j", "probability": 0.69873046875}], "temperature": 1.0}, {"id": 116, "seek": 271362, "start": 2685.82, "end": 2713.62, "text": "هذه الخطوة الأولى الخطوة الثانية take the transpose of the resulting matrix resulting matrix in part one", "tokens": [3224, 24192, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 33962, 9566, 2407, 3660, 6024, 104, 7649, 10632, 747, 264, 25167, 295, 264, 16505, 8141, 16505, 8141, 294, 644, 472], "avg_logprob": -0.24674478471279143, "compression_ratio": 1.346938775510204, "no_speech_prob": 0.0, "words": [{"start": 2685.82, "end": 2686.14, "word": "هذه", "probability": 0.572021484375}, {"start": 2686.14, "end": 2686.52, "word": " الخطوة", "probability": 0.899658203125}, {"start": 2686.52, "end": 2686.82, "word": " الأولى", "probability": 0.8185221354166666}, {"start": 2686.82, "end": 2687.38, "word": " الخطوة", "probability": 0.81195068359375}, {"start": 2687.38, "end": 2688.14, "word": " الثانية", "probability": 0.9520263671875}, {"start": 2688.14, "end": 2690.5, "word": " take", "probability": 0.28076171875}, {"start": 2690.5, "end": 2692.68, "word": " the", "probability": 0.8271484375}, {"start": 2692.68, "end": 2695.22, "word": " transpose", "probability": 0.740234375}, {"start": 2695.22, "end": 2700.12, "word": " of", "probability": 0.6572265625}, {"start": 2700.12, "end": 2701.88, "word": " the", "probability": 0.744140625}, {"start": 2701.88, "end": 2703.78, "word": " resulting", "probability": 0.96923828125}, {"start": 2703.78, "end": 2707.2, "word": " matrix", "probability": 0.94140625}, {"start": 2707.2, "end": 2709.8, "word": " resulting", "probability": 0.70361328125}, {"start": 2709.8, "end": 2710.66, "word": " matrix", "probability": 0.9677734375}, {"start": 2710.66, "end": 2711.34, "word": " in", "probability": 0.80712890625}, {"start": 2711.34, "end": 2713.08, "word": " part", "probability": 0.89013671875}, {"start": 2713.08, "end": 2713.62, "word": " one", "probability": 0.6728515625}], "temperature": 1.0}, {"id": 117, "seek": 274456, "start": 2716.18, "end": 2744.56, "text": "part one and denoted it by B and denoted it by B أعطيها الرمز B خطوة التالتة والأخيرة find", "tokens": [6971, 472, 293, 1441, 23325, 309, 538, 363, 293, 1441, 23325, 309, 538, 363, 5551, 3615, 9566, 1829, 11296, 34892, 2304, 11622, 363, 16490, 9566, 2407, 3660, 16712, 6027, 2655, 3660, 16070, 10721, 9778, 48923, 915], "avg_logprob": -0.22677365348145767, "compression_ratio": 1.263157894736842, "no_speech_prob": 0.0, "words": [{"start": 2716.18, "end": 2716.64, "word": "part", "probability": 0.256103515625}, {"start": 2716.64, "end": 2717.18, "word": " one", "probability": 0.68359375}, {"start": 2717.18, "end": 2719.54, "word": " and", "probability": 0.87548828125}, {"start": 2719.54, "end": 2724.62, "word": " denoted", "probability": 0.862548828125}, {"start": 2724.62, "end": 2728.08, "word": " it", "probability": 0.89453125}, {"start": 2728.08, "end": 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"word": " والأخيرة", "probability": 0.875}, {"start": 2743.22, "end": 2744.56, "word": " find", "probability": 0.79541015625}], "temperature": 1.0}, {"id": 118, "seek": 276879, "start": 2746.07, "end": 2768.79, "text": "A inverse from the formula من الصيغة A inverse يسوى واحد على ال determinant لل A هذا كله في المصوفة B", "tokens": [32, 17340, 490, 264, 8513, 9154, 31767, 1829, 17082, 3660, 316, 17340, 7251, 3794, 2407, 7578, 36764, 24401, 15844, 2423, 41296, 24976, 316, 23758, 28242, 3224, 8978, 9673, 9381, 38688, 3660, 363], "avg_logprob": -0.28929924242424243, "compression_ratio": 1.139344262295082, "no_speech_prob": 0.0, "words": [{"start": 2746.07, "end": 2746.53, "word": "A", "probability": 0.465087890625}, {"start": 2746.53, "end": 2747.39, "word": " inverse", "probability": 0.309326171875}, {"start": 2747.39, "end": 2749.05, "word": " from", "probability": 0.70654296875}, {"start": 2749.05, "end": 2751.15, "word": " the", "probability": 0.56884765625}, {"start": 2751.15, "end": 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2765.93, "word": " هذا", "probability": 0.64404296875}, {"start": 2765.93, "end": 2767.09, "word": " كله", "probability": 0.985107421875}, {"start": 2767.09, "end": 2767.37, "word": " في", "probability": 0.57958984375}, {"start": 2767.37, "end": 2768.65, "word": " المصوفة", "probability": 0.7403564453125}, {"start": 2768.65, "end": 2768.79, "word": " B", "probability": 0.74951171875}], "temperature": 1.0}, {"id": 119, "seek": 277928, "start": 2778.72, "end": 2779.28, "text": "ماذا بحاجة؟", "tokens": [2304, 45636, 995, 4724, 5016, 26108, 3660, 22807], "avg_logprob": -1.1336805555555556, "compression_ratio": 0.7241379310344828, "no_speech_prob": 0.0184783935546875, "words": [{"start": 2778.72, "end": 2778.96, "word": "ماذا", "probability": 0.4702860514322917}, {"start": 2778.96, "end": 2779.28, "word": " بحاجة؟", "probability": 0.41163330078125}], "temperature": 1.0}, {"id": 120, "seek": 280886, "start": 2788.86, "end": 2808.86, "text": "يبقى باختصار بدنا نعمل ثلاث خطوات الخطوة الأولى بدي أشيل كل a ij و أضع كوفكتور تبعه ناقص واحد من aij في ال m ij الخطوة الثانية بدي أجيب مدور هذه المصوفة اللى نتجت في الخطوة الأولى", "tokens": [1829, 3555, 4587, 7578, 4724, 47283, 2655, 9381, 9640, 47525, 8315, 8717, 25957, 1211, 38637, 1211, 5718, 104, 16490, 9566, 2407, 9307, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 4724, 16254, 5551, 8592, 26895, 28242, 257, 741, 73, 4032, 5551, 11242, 3615, 9122, 38688, 4117, 2655, 13063, 6055, 3555, 3615, 3224, 8717, 995, 4587, 9381, 36764, 24401, 9154, 257, 1718, 8978, 2423, 275, 741, 73, 33962, 9566, 2407, 3660, 6024, 104, 7649, 10632, 4724, 16254, 5551, 7435, 1829, 3555, 3714, 3215, 13063, 29538, 9673, 9381, 38688, 3660, 13672, 7578, 8717, 2655, 7435, 2655, 8978, 33962, 9566, 2407, 3660, 16247, 12610, 7578], "avg_logprob": -0.24678308385259964, "compression_ratio": 1.7784090909090908, "no_speech_prob": 0.0, "words": [{"start": 2788.86, "end": 2789.22, "word": "يبقى", "probability": 0.83538818359375}, {"start": 2789.22, "end": 2789.78, "word": " باختصار", "probability": 0.971875}, {"start": 2789.78, "end": 2790.02, "word": " بدنا", "probability": 0.506103515625}, {"start": 2790.02, "end": 2790.22, "word": " نعمل", "probability": 0.9586588541666666}, {"start": 2790.22, "end": 2790.56, "word": " ثلاث", "probability": 0.9410400390625}, {"start": 2790.56, "end": 2791.12, "word": " خطوات", "probability": 0.9676513671875}, {"start": 2791.12, "end": 2792.14, "word": " الخطوة", "probability": 0.9158935546875}, {"start": 2792.14, "end": 2792.62, "word": " الأولى", "probability": 0.9759114583333334}, {"start": 2792.62, "end": 2792.94, "word": " بدي", "probability": 0.610107421875}, {"start": 2792.94, "end": 2793.42, "word": " أشيل", "probability": 0.8689778645833334}, {"start": 2793.42, "end": 2793.84, "word": " كل", "probability": 0.87451171875}, {"start": 2793.84, "end": 2794.22, "word": " a", "probability": 0.364501953125}, {"start": 2794.22, "end": 2794.88, "word": " ij", "probability": 0.423828125}, {"start": 2794.88, "end": 2795.36, "word": " و", "probability": 0.91796875}, {"start": 2795.36, "end": 2795.62, "word": " أضع", "probability": 0.6110026041666666}, {"start": 2795.62, "end": 2796.66, "word": " كوفكتور", "probability": 0.6266845703125}, {"start": 2796.66, "end": 2797.32, "word": " تبعه", "probability": 0.744140625}, {"start": 2797.32, "end": 2798.04, "word": " ناقص", "probability": 0.682464599609375}, {"start": 2798.04, "end": 2798.26, "word": " واحد", "probability": 0.906982421875}, {"start": 2798.26, "end": 2798.42, "word": " من", "probability": 0.490966796875}, {"start": 2798.42, "end": 2798.84, "word": " aij", "probability": 0.632080078125}, {"start": 2798.84, "end": 2799.06, "word": " في", "probability": 0.7060546875}, {"start": 2799.06, "end": 2799.46, "word": " ال", "probability": 0.406982421875}, {"start": 2799.46, "end": 2799.82, "word": " m", "probability": 0.1951904296875}, {"start": 2799.82, "end": 2800.54, "word": " ij", "probability": 0.791015625}, {"start": 2800.54, "end": 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