{"segments": [{"id": 1, "seek": 2710, "start": 9.4, "end": 27.1, "text": "بسم الله الرحمن الرحيم نكمل ما بدأناه في المرة الماضية وهو موضوع ال comparison test و limit comparison test احنا المرة اللي فاتة خدنا فقط اللي هو ال comparison test تمام اختبار المقارنة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 19446, 47525, 10721, 8315, 3224, 8978, 9673, 25720, 9673, 46958, 10632, 37037, 2407, 3714, 2407, 11242, 45367, 2423, 9660, 1500, 4032, 4948, 9660, 1500, 1975, 5016, 8315, 9673, 25720, 13672, 1829, 6156, 9307, 3660, 16490, 3215, 8315, 6156, 47432, 13672, 1829, 31439, 2423, 9660, 1500, 46811, 10943, 1975, 46456, 3555, 9640, 9673, 4587, 9640, 1863, 3660], "avg_logprob": -0.21059782867846283, "compression_ratio": 1.7321428571428572, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 9.4, "end": 10.4, "word": "بسم", "probability": 0.802001953125}, {"start": 10.4, "end": 10.6, "word": " الله", "probability": 0.96435546875}, {"start": 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converged او diver فلو جينا لل series اللي عندنا هذه مين أقرب series على هذه ال series ممكن اقارن معاها بواحد على interview", "tokens": [9566, 1829, 3555, 23032, 3555, 3615, 995, 31439, 4724, 40228, 9566, 9957, 1829, 8592, 732, 2638, 31439, 4724, 40228, 9566, 9957, 1829, 2423, 2638, 36764, 24401, 3660, 6156, 47432, 20193, 32771, 13546, 4032, 7649, 2655, 47525, 4117, 6055, 9778, 1211, 4587, 2638, 5551, 34740, 7578, 9154, 2423, 2638, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 4117, 39627, 24192, 2423, 2638, 9673, 9778, 1211, 28671, 6055, 30544, 16472, 2655, 6225, 9640, 5172, 11296, 8032, 1211, 39896, 9652, 3004, 1975, 2407, 18558, 6156, 1211, 2407, 10874, 1829, 8315, 24976, 2638, 13672, 1829, 43242, 8315, 29538, 3714, 9957, 5551, 4587, 25513, 2638, 15844, 29538, 2423, 2638, 3714, 43020, 1975, 4587, 9640, 1863, 20449, 995, 11296, 4724, 14407, 24401, 15844, 4049], "avg_logprob": -0.22073622212066488, "compression_ratio": 1.9083333333333334, "no_speech_prob": 0.0, "words": [{"start": 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{"start": 443.96, "end": 444.34, "word": " مين", "probability": 0.862548828125}, {"start": 444.34, "end": 445.06, "word": " ال", "probability": 0.95263671875}, {"start": 445.06, "end": 445.64, "word": " N", "probability": 0.64453125}], "temperature": 1.0}, {"id": 21, "seek": 46106, "start": 446.02, "end": 461.06, "text": "زائد اتنين اص ان على انت ربيع في اتنين اص ان قلنا له ايوة جالي بدي اوزع ال bus علي المقام وهذا هي summation اللي عندنا", "tokens": [11622, 16373, 3215, 1975, 2655, 1863, 9957, 1975, 9381, 16472, 15844, 16472, 2655, 12602, 21292, 3615, 8978, 1975, 2655, 1863, 9957, 1975, 9381, 16472, 12174, 1211, 8315, 46740, 1975, 1829, 2407, 3660, 10874, 6027, 1829, 4724, 16254, 1975, 2407, 11622, 3615, 2423, 1255, 25894, 9673, 4587, 10943, 37037, 15730, 39896, 28811, 13672, 1829, 43242, 8315], "avg_logprob": -0.29854911512562204, "compression_ratio": 1.5190839694656488, "no_speech_prob": 0.0, "words": [{"start": 446.02, "end": 446.94, "word": "زائد", "probability": 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summation على الاتنين وبالتالي هذه بيصير summation تاني بهذا الشكل اظن هذه conversion دغري مافيها مشكلة مشكلة تبعناها", "tokens": [4587, 6027, 46740, 29538, 9122, 2304, 7649, 28811, 1975, 46456, 9381, 2288, 4724, 1829, 9381, 13546, 36764, 24401, 15844, 426, 8978, 2423, 9307, 1863, 9957, 5551, 3794, 426, 37037, 24192, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 12174, 1211, 8315, 46740, 46811, 10943, 46811, 10943, 3714, 43020, 7251, 3215, 9778, 1211, 2423, 28811, 15844, 2423, 9307, 1863, 9957, 46599, 6027, 2655, 6027, 1829, 29538, 4724, 1829, 9381, 13546, 28811, 6055, 7649, 1829, 39627, 15730, 25124, 28820, 1975, 19913, 1863, 29538, 14298, 11778, 17082, 16572, 19446, 41185, 11296, 37893, 28820, 3660, 37893, 28820, 3660, 6055, 3555, 3615, 8315, 11296], "avg_logprob": -0.34281248778104784, "compression_ratio": 1.8428571428571427, "no_speech_prob": 0.0, "words": [{"start": 477.39, "end": 477.89, "word": "قال", "probability": 0.4886627197265625}, {"start": 477.89, "end": 478.07, 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لإن هذه مقامة أكبر طيب هذه هاها اللي تساوي مين؟ summation لنص أس N زي summation لواحد علي N تربيع أظن هذه convert geometric صح؟ يبقى هذه convert geometric series", "tokens": [2304, 6027, 4117, 4032, 16490, 1863, 8592, 37495, 22653, 13412, 26895, 2655, 426, 9154, 9673, 4587, 10943, 7251, 3555, 4587, 7578, 5551, 4587, 1211, 9154, 11296, 5296, 28814, 1863, 29538, 3714, 4587, 10943, 3660, 5551, 4117, 26890, 23032, 1829, 3555, 29538, 8032, 995, 11296, 13672, 1829, 6055, 3794, 995, 45865, 3714, 9957, 22807, 28811, 5296, 1863, 9381, 5551, 3794, 426, 30767, 1829, 28811, 5296, 14407, 24401, 25894, 426, 6055, 2288, 21292, 3615, 5551, 19913, 1863, 29538, 7620, 33246, 20328, 5016, 22807, 7251, 3555, 4587, 7578, 29538, 7620, 33246, 2638], "avg_logprob": -0.3156249910593033, "compression_ratio": 1.6173469387755102, "no_speech_prob": 0.0, "words": [{"start": 528.64, "end": 529.2, "word": "مالك", "probability": 0.649658203125}, {"start": 529.2, "end": 529.28, "word": " و", "probability": 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convert", "probability": 0.8681640625}, {"start": 551.04, "end": 552.68, "word": " geometric", "probability": 0.82080078125}, {"start": 552.68, "end": 553.36, "word": " series", "probability": 0.9169921875}], "temperature": 1.0}, {"id": 26, "seek": 57654, "start": 553.65, "end": 576.55, "text": "وهذه convergence P series وهذه convergence P series مجموع ال two convergence series is convergent يبقى ال series اللي أقل منها اللي الأصل ياشي بتكون convergent يبقى هدول طريقين للحل", "tokens": [2407, 3224, 24192, 32181, 430, 2638, 37037, 24192, 32181, 430, 2638, 3714, 7435, 2304, 45367, 2423, 732, 32181, 2638, 307, 9652, 6930, 7251, 3555, 4587, 7578, 2423, 2638, 13672, 1829, 5551, 4587, 1211, 9154, 11296, 13672, 1829, 16247, 36520, 7251, 33599, 1829, 39894, 30544, 9652, 6930, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 23032, 16572, 4587, 9957, 24976, 5016, 1211], "avg_logprob": -0.2274590193248186, "compression_ratio": 1.717241379310345, "no_speech_prob": 0.0, "words": [{"start": 553.65, 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" بتكون", "probability": 0.9619140625}, {"start": 571.65, "end": 573.13, "word": " convergent", "probability": 0.886962890625}, {"start": 573.13, "end": 573.65, "word": " يبقى", "probability": 0.9580078125}, {"start": 573.65, "end": 574.19, "word": " هدول", "probability": 0.88916015625}, {"start": 574.19, "end": 575.13, "word": " طريقين", "probability": 0.928466796875}, {"start": 575.13, "end": 576.55, "word": " للحل", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 27, "seek": 60354, "start": 576.92, "end": 603.54, "text": "وحل بالطريقة اللى تشوفها مناسبة بالنسبة لك طبعا الطريقة الأولى أسرع كتير من الطريقة الثانية وأبسط منها هذا كان السؤال الثامن السؤال التاسع بيقول ال summation من n equal one to infinity لإتنين to the power n تلاتة to the power n", "tokens": [2407, 5016, 1211, 20666, 9566, 16572, 28671, 13672, 7578, 6055, 8592, 38688, 11296, 3714, 8315, 35457, 3660, 20666, 1863, 35457, 3660, 5296, 4117, 23032, 3555, 3615, 995, 41950, 16572, 28671, 16247, 12610, 7578, 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742.66, "word": " للإتنين", "probability": 0.7943359375}, {"start": 742.66, "end": 743.42, "word": " تلت", "probability": 0.9625651041666666}, {"start": 743.42, "end": 744.02, "word": " تربع", "probability": 0.7682291666666666}, {"start": 744.02, "end": 744.46, "word": " أس", "probability": 0.79541015625}, {"start": 744.46, "end": 744.92, "word": " N", "probability": 0.62841796875}, {"start": 744.92, "end": 745.58, "word": " من", "probability": 0.94384765625}, {"start": 745.58, "end": 745.96, "word": " N", "probability": 0.83349609375}, {"start": 745.96, "end": 746.42, "word": " equal", "probability": 0.44287109375}, {"start": 746.42, "end": 746.84, "word": " one", "probability": 0.8603515625}, {"start": 746.84, "end": 747.08, "word": " to", "probability": 0.94091796875}, {"start": 747.08, "end": 747.82, "word": " infinity", "probability": 0.86376953125}, {"start": 747.82, "end": 749.78, "word": " converge", "probability": 0.748046875}, {"start": 749.78, "end": 751.42, "word": " geometric", "probability": 0.52294921875}, {"start": 751.42, "end": 753.34, "word": " series", "probability": 0.85595703125}, {"start": 753.34, "end": 754.76, "word": " السبب", "probability": 0.9856770833333334}, {"start": 754.76, "end": 755.66, "word": " because", "probability": 0.84423828125}], "temperature": 1.0}, {"id": 35, "seek": 77744, "start": 761.84, "end": 777.44, "text": "الأساس تبع ال series يسوى تلت اربعة والتلت اربعة اقل من الواحد الصحيح بروح بقوله by the comparisons of the series", "tokens": [6027, 10721, 3794, 32277, 6055, 3555, 3615, 2423, 2638, 7251, 3794, 2407, 7578, 6055, 1211, 2655, 1975, 25513, 27884, 16070, 2655, 1211, 2655, 1975, 25513, 27884, 1975, 4587, 1211, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 4724, 32887, 5016, 4724, 39648, 3224, 538, 264, 33157, 295, 264, 2638], "avg_logprob": -0.33406249403953553, "compression_ratio": 1.3515625, "no_speech_prob": 0.0, "words": [{"start": 761.84, "end": 763.2, "word": "الأساس", "probability": 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"end": 783.81, "word": " equal", "probability": 0.211181640625}, {"start": 783.81, "end": 784.19, "word": " one", "probability": 0.74951171875}, {"start": 784.19, "end": 784.47, "word": " to", "probability": 0.9365234375}, {"start": 784.47, "end": 785.23, "word": " infinity", "probability": 0.85546875}, {"start": 785.23, "end": 786.67, "word": " للاتنين", "probability": 0.65301513671875}, {"start": 786.67, "end": 787.35, "word": " أسن", "probability": 0.5515950520833334}, {"start": 787.35, "end": 788.03, "word": " زائد", "probability": 0.7745768229166666}, {"start": 788.03, "end": 788.69, "word": " تلاتة", "probability": 0.8951416015625}, {"start": 788.69, "end": 789.45, "word": " أسن", "probability": 0.95751953125}, {"start": 789.45, "end": 790.61, "word": " وهنا", "probability": 0.796630859375}, {"start": 790.61, "end": 791.25, "word": " أربع", "probability": 0.8211263020833334}, {"start": 791.25, "end": 792.05, "word": " أسن", "probability": 0.9864908854166666}, {"start": 792.05, "end": 792.93, "word": " converge", "probability": 0.265380859375}, {"start": 792.93, "end": 794.23, "word": " وانتهينا", "probability": 0.96748046875}, {"start": 794.23, "end": 794.79, "word": " من", "probability": 0.97900390625}, {"start": 794.79, "end": 796.59, "word": " المسألة", "probability": 0.93017578125}], "temperature": 1.0}, {"id": 37, "seek": 83327, "start": 809.95, "end": 833.27, "text": "سؤال العاشر summation من N equal one to infinity لل N factorial ال square root لل N عالمين على N زائد اتنين اللي هو factorial", "tokens": [3794, 33604, 6027, 18863, 33599, 2288, 28811, 9154, 426, 2681, 472, 281, 13202, 24976, 426, 36916, 2423, 3732, 5593, 24976, 426, 6225, 45340, 9957, 15844, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 36916], "avg_logprob": -0.22841282973164007, "compression_ratio": 1.2462686567164178, "no_speech_prob": 0.0, "words": [{"start": 809.95, "end": 810.55, "word": "سؤال", "probability": 0.9210611979166666}, {"start": 810.55, "end": 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"end": 1561.57, "text": "أحنا قلنا هذا ال section فيه اختبارين المرة اللي فاتت أخدنا نص لاختبار الأول حلنا شوية أمثلة عليه كملنا اليوم باقل أمثلة الأقل بنروح للاختبار الثاني اللي هو ال limit comparison test بنص على ما يأتي suppose that افترض انه", "tokens": [10721, 5016, 8315, 12174, 1211, 8315, 23758, 2423, 3541, 8978, 3224, 1975, 46456, 3555, 9640, 9957, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 5551, 9778, 3215, 8315, 8717, 9381, 5296, 47283, 2655, 3555, 9640, 16247, 12610, 11331, 1211, 8315, 13412, 2407, 10632, 5551, 2304, 12984, 37977, 47356, 9122, 42213, 8315, 45595, 20498, 4724, 995, 4587, 1211, 5551, 2304, 12984, 37977, 16247, 4587, 1211, 4724, 1863, 32887, 5016, 24976, 47283, 2655, 3555, 9640, 6024, 104, 7649, 1829, 13672, 1829, 31439, 2423, 4948, 9660, 1500, 44945, 9381, 15844, 19446, 7251, 10721, 31371, 7297, 300, 1975, 5172, 2655, 43042, 16472, 3224], "avg_logprob": -0.2062815668606999, "compression_ratio": 1.7169811320754718, "no_speech_prob": 0.0, "words": [{"start": 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ووسعنا المدارس العالمية بالنسبالك، اعني بالك معاك هنا، الآن بدنا نبدأ ناخد أمثلة على الكلام اللي بنقوله، جالي يشوف لي هال series هذي convert، قوله ضيفين، بدي أنا بقى تساءل", "tokens": [10721, 1829, 8717, 25957, 12399, 44381, 5296, 15042, 5551, 39648, 5296, 4117, 44713, 9778, 3215, 10943, 13672, 1829, 47525, 4117, 11933, 25528, 3224, 12399, 4724, 9381, 36081, 6156, 995, 37983, 3714, 9957, 13672, 1829, 4724, 9957, 5172, 3615, 8978, 16095, 12399, 23758, 5296, 10721, 12399, 23758, 5551, 3224, 12399, 7251, 3555, 4587, 7578, 14739, 2655, 20328, 9640, 2655, 2423, 8838, 4032, 41779, 3615, 8315, 9673, 3215, 9640, 3794, 18863, 45340, 10632, 20666, 1863, 35457, 6027, 4117, 12399, 1975, 3615, 22653, 20666, 4117, 20449, 995, 4117, 34105, 12399, 6024, 48506, 47525, 8315, 8717, 44510, 10721, 8717, 47283, 3215, 5551, 2304, 12984, 37977, 15844, 2423, 28820, 10943, 13672, 1829, 44945, 39648, 3224, 12399, 10874, 6027, 1829, 7251, 8592, 38688, 32239, 8032, 6027, 2638, 8032, 8848, 1829, 7620, 12399, 12174, 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{"start": 2154.44, "end": 2154.8, "word": " الآن", "probability": 0.6806640625}, {"start": 2154.8, "end": 2155.1, "word": " بدنا", "probability": 0.583740234375}, {"start": 2155.1, "end": 2155.32, "word": " نبدأ", "probability": 0.96240234375}, {"start": 2155.32, "end": 2155.66, "word": " ناخد", "probability": 0.9728190104166666}, {"start": 2155.66, "end": 2156.06, "word": " أمثلة", "probability": 0.8270263671875}, {"start": 2156.06, "end": 2156.22, "word": " على", "probability": 0.775390625}, {"start": 2156.22, "end": 2156.6, "word": " الكلام", "probability": 0.9363606770833334}, {"start": 2156.6, "end": 2156.76, "word": " اللي", "probability": 0.98876953125}, {"start": 2156.76, "end": 2157.34, "word": " بنقوله،", "probability": 0.9078369140625}, {"start": 2157.34, "end": 2157.68, "word": " جالي", "probability": 0.611083984375}, {"start": 2157.68, "end": 2157.94, "word": " يشوف", "probability": 0.87451171875}, {"start": 2157.94, "end": 2158.06, "word": " لي", "probability": 0.58251953125}, {"start": 2158.06, "end": 2158.26, "word": " هال", "probability": 0.77880859375}, {"start": 2158.26, "end": 2158.54, "word": " series", "probability": 0.91015625}, {"start": 2158.54, "end": 2158.92, "word": " هذي", "probability": 0.7779947916666666}, {"start": 2158.92, "end": 2160.04, "word": " convert،", "probability": 0.3626708984375}, {"start": 2160.04, "end": 2160.16, "word": " قوله", "probability": 0.555419921875}, {"start": 2160.16, "end": 2161.02, "word": " ضيفين،", "probability": 0.572113037109375}, {"start": 2161.02, "end": 2161.44, "word": " بدي", "probability": 0.72265625}, {"start": 2161.44, "end": 2161.76, "word": " أنا", "probability": 0.826171875}, {"start": 2161.76, "end": 2162.14, "word": " بقى", "probability": 0.9723307291666666}, {"start": 2162.14, "end": 2163.08, "word": " تساءل", "probability": 0.84552001953125}], "temperature": 1.0}, {"id": 95, "seek": 219217, "start": 2163.34, "end": 2192.18, "text": "من أقرب series على هذه ال series أنا عارفهم مسبقا هل هي convergent او divergent اقرب واحد عليهم واحد علي n اذا انا بقول عندنا summation واحد علي n هي divergent harmonic series", "tokens": [27842, 5551, 4587, 25513, 2638, 15844, 29538, 2423, 2638, 41850, 6225, 9640, 5172, 16095, 3714, 35457, 4587, 995, 8032, 1211, 39896, 9652, 6930, 1975, 2407, 18558, 6930, 1975, 4587, 25513, 36764, 24401, 25894, 16095, 36764, 24401, 25894, 297, 1975, 15730, 1975, 8315, 4724, 39648, 43242, 8315, 28811, 36764, 24401, 25894, 297, 39896, 18558, 6930, 32270, 2638], "avg_logprob": -0.38377192982456143, "compression_ratio": 1.6012658227848102, "no_speech_prob": 0.0, "words": [{"start": 2163.34, "end": 2163.92, "word": "من", "probability": 0.4677734375}, {"start": 2163.92, "end": 2164.68, "word": " أقرب", "probability": 0.9033203125}, {"start": 2164.68, "end": 2165.3, "word": " series", "probability": 0.75244140625}, {"start": 2165.3, "end": 2166.0, "word": " على", "probability": 0.83154296875}, {"start": 2166.0, "end": 2166.52, "word": " هذه", 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واحد", "probability": 0.869873046875}, {"start": 2179.44, "end": 2180.1, "word": " عليهم", "probability": 0.95458984375}, {"start": 2180.1, "end": 2180.98, "word": " واحد", "probability": 0.866455078125}, {"start": 2180.98, "end": 2181.2, "word": " علي", "probability": 0.33251953125}, {"start": 2181.2, "end": 2181.46, "word": " n", "probability": 0.342041015625}, {"start": 2181.46, "end": 2182.22, "word": " اذا", "probability": 0.8037109375}, {"start": 2182.22, "end": 2182.82, "word": " انا", "probability": 0.824951171875}, {"start": 2182.82, "end": 2183.58, "word": " بقول", "probability": 0.963623046875}, {"start": 2183.58, "end": 2184.52, "word": " عندنا", "probability": 0.935546875}, {"start": 2184.52, "end": 2185.46, "word": " summation", "probability": 0.5322265625}, {"start": 2185.46, "end": 2186.24, "word": " واحد", "probability": 0.80615234375}, {"start": 2186.24, "end": 2186.48, "word": " علي", "probability": 0.69189453125}, {"start": 2186.48, "end": 2186.94, "word": " n", "probability": 0.76318359375}, {"start": 2186.94, "end": 2187.68, "word": " هي", "probability": 0.3544921875}, {"start": 2187.68, "end": 2189.16, "word": " divergent", "probability": 0.538818359375}, {"start": 2189.16, "end": 2190.56, "word": " harmonic", "probability": 0.80078125}, {"start": 2190.56, "end": 2192.18, "word": " series", "probability": 0.919921875}], "temperature": 1.0}, {"id": 96, "seek": 222055, "start": 2194.49, "end": 2220.55, "text": "يبقى بنروح اخد ال limit لما ال N tends to infinity لواحد على ان الجذر النوني ل N تكيب تقسيم واحد على N يبقى يسوي ال limit لما ال N tends to infinity تطلع ال N فوق على ال N وهذا N تكيب", "tokens": [1829, 3555, 4587, 7578, 4724, 1863, 32887, 5016, 1975, 9778, 3215, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 14407, 24401, 15844, 16472, 25724, 8848, 2288, 28239, 11536, 1829, 5296, 426, 6055, 4117, 1829, 3555, 6055, 4587, 3794, 32640, 36764, 24401, 15844, 426, 7251, 3555, 4587, 7578, 7251, 3794, 45865, 2423, 4948, 5296, 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{"start": 2199.21, "end": 2199.49, "word": " to", "probability": 0.93603515625}, {"start": 2199.49, "end": 2200.37, "word": " infinity", "probability": 0.81787109375}, {"start": 2200.37, "end": 2201.69, "word": " لواحد", "probability": 0.7840169270833334}, {"start": 2201.69, "end": 2202.03, "word": " على", "probability": 0.75048828125}, {"start": 2202.03, "end": 2202.47, "word": " ان", "probability": 0.5869140625}, {"start": 2202.47, "end": 2203.39, "word": " الجذر", "probability": 0.9332682291666666}, {"start": 2203.39, "end": 2204.23, "word": " النوني", "probability": 0.8837890625}, {"start": 2204.23, "end": 2204.53, "word": " ل", "probability": 0.966796875}, {"start": 2204.53, "end": 2204.83, "word": " N", "probability": 0.75830078125}, {"start": 2204.83, "end": 2205.83, "word": " تكيب", "probability": 0.9466552734375}, {"start": 2205.83, "end": 2207.09, "word": " تقسيم", "probability": 0.94384765625}, {"start": 2207.09, "end": 2207.71, "word": " واحد", "probability": 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{"start": 2212.55, "end": 2213.61, "word": " تطلع", "probability": 0.9798583984375}, {"start": 2213.61, "end": 2213.87, "word": " ال", "probability": 0.93359375}, {"start": 2213.87, "end": 2214.29, "word": " N", "probability": 0.8935546875}, {"start": 2214.29, "end": 2214.97, "word": " فوق", "probability": 0.972900390625}, {"start": 2214.97, "end": 2215.95, "word": " على", "probability": 0.919921875}, {"start": 2215.95, "end": 2216.85, "word": " ال", "probability": 0.92724609375}, {"start": 2216.85, "end": 2217.31, "word": " N", "probability": 0.962890625}, {"start": 2217.31, "end": 2218.43, "word": " وهذا", "probability": 0.747314453125}, {"start": 2218.43, "end": 2219.13, "word": " N", "probability": 0.9248046875}, {"start": 2219.13, "end": 2220.55, "word": " تكيب", "probability": 0.9964599609375}], "temperature": 1.0}, {"id": 97, "seek": 224735, "start": 2221.37, "end": 2247.35, "text": "ان تكيب أس واحد على ان تختصر ان مع ان يبقى بصير المسألة limit لما الان till infinity لواحد على 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2239.27, "word": " تكيب", "probability": 0.994384765625}, {"start": 2239.27, "end": 2240.63, "word": " يبقى", "probability": 0.95703125}, {"start": 2240.63, "end": 2241.01, "word": " ان", "probability": 0.8369140625}, {"start": 2241.01, "end": 2241.57, "word": " تكيب", "probability": 0.9979248046875}, {"start": 2241.57, "end": 2241.85, "word": " أس", "probability": 0.951904296875}, {"start": 2241.85, "end": 2242.23, "word": " واحد", "probability": 0.986572265625}, {"start": 2242.23, "end": 2242.47, "word": " على", "probability": 0.9140625}, {"start": 2242.47, "end": 2242.69, "word": " ان", "probability": 0.88671875}, {"start": 2242.69, "end": 2243.13, "word": " والله", "probability": 0.61767578125}, {"start": 2243.13, "end": 2243.37, "word": " ان", "probability": 0.7783203125}, {"start": 2243.37, "end": 2243.61, "word": " أس", "probability": 0.88134765625}, {"start": 2243.61, "end": 2243.93, "word": " واحد", "probability": 0.9892578125}, {"start": 2243.93, "end": 2244.11, "word": " 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limit comparison test ال series اللي قارننا معاها وال series الأصلية اتنين زي بعض طب اللي قارننا معاها by verge إذا ال series التانية معاها by verge فبروح بقوله by the limit comparison test the series", "tokens": [2288, 4587, 2304, 16070, 2288, 4587, 2304, 5551, 4117, 26890, 9154, 2423, 39184, 4018, 7251, 3555, 4587, 7578, 20666, 4948, 9660, 1500, 2423, 2638, 13672, 1829, 12174, 9640, 1863, 8315, 20449, 995, 11296, 16070, 2638, 16247, 36520, 10632, 1975, 2655, 1863, 9957, 30767, 1829, 45030, 11242, 23032, 3555, 13672, 1829, 12174, 9640, 1863, 8315, 20449, 995, 11296, 538, 37164, 11933, 15730, 2423, 2638, 16712, 7649, 10632, 20449, 995, 11296, 538, 37164, 6156, 26890, 2407, 5016, 4724, 39648, 3224, 538, 264, 4948, 9660, 1500, 264, 2638], "avg_logprob": -0.23691859789365946, "compression_ratio": 1.8342245989304813, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2270.33, "end": 2271.01, "word": "رقم", "probability": 0.6894124348958334}, {"start": 2271.01, "end": 2271.71, 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infinity", "probability": 0.8330078125}, {"start": 2322.51, "end": 2324.19, "word": " للجذر", "probability": 0.8436279296875}, {"start": 2324.19, "end": 2325.45, "word": " النوني", "probability": 0.8385416666666666}, {"start": 2325.45, "end": 2325.85, "word": " ل", "probability": 0.91357421875}, {"start": 2325.85, "end": 2326.39, "word": " N", "probability": 0.6796875}, {"start": 2326.39, "end": 2327.47, "word": " على", "probability": 0.8017578125}, {"start": 2327.47, "end": 2328.07, "word": " N", "probability": 0.9482421875}, {"start": 2328.07, "end": 2328.85, "word": " تربيع", "probability": 0.770751953125}], "temperature": 1.0}, {"id": 102, "seek": 235907, "start": 2332.21, "end": 2359.07, "text": "ماشي الحاجة high summation 1 على N تربية convert P series السبب بسبب أن P يسوى 2 أكبر من 1 يبقى بدنا ناخد limit لما ال N tends to infinity لل N أس 1 على N على N تربية تقسيم 1 على N تربية", "tokens": [2304, 33599, 1829, 21542, 26108, 3660, 1090, 28811, 502, 15844, 426, 6055, 25513, 10632, 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"end": 2519.04, "text": "نختصر لاختصارات هادي مع السلامة بصير limit لما ال N tends to infinity لsec تربية 1 على N", "tokens": [1863, 46456, 9381, 2288, 5296, 47283, 2655, 9381, 9640, 9307, 8032, 995, 16254, 20449, 21136, 37440, 3660, 4724, 9381, 13546, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 8159, 6055, 25513, 10632, 502, 15844, 426], "avg_logprob": -0.35198481018478806, "compression_ratio": 1.1367521367521367, "no_speech_prob": 0.0, "words": [{"start": 2507.5, "end": 2508.68, "word": "نختصر", "probability": 0.73785400390625}, {"start": 2508.68, "end": 2509.62, "word": " لاختصارات", "probability": 0.829345703125}, {"start": 2509.62, "end": 2509.96, "word": " هادي", "probability": 0.615234375}, {"start": 2509.96, "end": 2510.24, "word": " مع", "probability": 0.9609375}, {"start": 2510.24, "end": 2511.22, "word": " السلامة", "probability": 0.9713541666666666}, {"start": 2511.22, "end": 2512.06, "word": " بصير", "probability": 0.5763346354166666}, {"start": 2512.06, "end": 2512.74, "word": " limit", "probability": 0.669921875}, {"start": 2512.74, "end": 2513.24, "word": " لما", "probability": 0.933349609375}, {"start": 2513.24, "end": 2513.46, "word": " ال", "probability": 0.90478515625}, {"start": 2513.46, "end": 2513.72, "word": " N", "probability": 0.3828125}, {"start": 2513.72, "end": 2514.12, "word": " tends", "probability": 0.7216796875}, {"start": 2514.12, "end": 2514.38, "word": " to", "probability": 0.90185546875}, {"start": 2514.38, "end": 2515.16, "word": " infinity", "probability": 0.84423828125}, {"start": 2515.16, "end": 2516.48, "word": " لsec", "probability": 0.5145263671875}, {"start": 2516.48, "end": 2517.48, "word": " تربية", "probability": 0.8370768229166666}, {"start": 2517.48, "end": 2518.06, "word": " 1", "probability": 0.53271484375}, {"start": 2518.06, "end": 2518.66, "word": " على", "probability": 0.61572265625}, {"start": 2518.66, "end": 2519.04, "word": " N", "probability": 0.85400390625}], "temperature": 1.0}, {"id": 110, 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