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+{"segments": [{"id": 1, "seek": 4910, "start": 20.92, "end": 49.1, "text": "بسم الله الرحمن الرحيم هنبدأ في المحاضرة هذه chapter جديد وهو chapter أربعة في الكتاب المقرر عنوان ال chapter limits of functions و هنبدأ أول section في ال chapter هذا و برضه عنوان ال section الأول هو نفس عنوان ال chapter limits of functions فقبل ما نعرف limit of a function", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8032, 1863, 44510, 10721, 8978, 9673, 5016, 46958, 25720, 29538, 7187, 10874, 16254, 3215, 37037, 2407, 7187, 5551, 25513, 27884, 8978, 33251, 2655, 16758, 9673, 4587, 2288, 2288, 18871, 2407, 7649, 2423, 7187, 10406, 295, 6828, 4032, 8032, 1863, 44510, 10721, 5551, 12610, 3541, 8978, 2423, 7187, 23758, 4032, 4724, 43042, 3224, 18871, 2407, 7649, 2423, 3541, 16247, 12610, 31439, 8717, 36178, 18871, 2407, 7649, 2423, 7187, 10406, 295, 6828, 6156, 4587, 36150, 19446, 8717, 3615, 28480, 4948, 295, 257, 2445], "avg_logprob": -0.1200206078343339, "compression_ratio": 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عن ال c يعني بمعنى أخر بقدر ألاقي في التقاطع هذا نقطة x يعني التقاطع هذا لا يساوي five okay كمان مرة", "tokens": [2670, 269, 7251, 2655, 4587, 41193, 3615, 20449, 9673, 7435, 2304, 2407, 27884, 257, 8978, 8717, 47432, 3660, 36764, 24401, 3660, 15844, 16247, 4587, 1211, 2031, 3714, 46456, 46538, 3660, 18871, 2423, 269, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 4724, 28543, 2288, 5551, 15040, 38436, 8978, 16712, 4587, 41193, 3615, 23758, 8717, 47432, 3660, 2031, 37495, 22653, 16712, 4587, 41193, 3615, 23758, 20193, 7251, 3794, 995, 45865, 1732, 1392, 9122, 2304, 7649, 3714, 25720], "avg_logprob": -0.10446715077910668, "compression_ratio": 1.6402439024390243, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 128.94, "end": 129.22, "word": "of", "probability": 0.299560546875}, {"start": 129.22, "end": 129.76, "word": " c", "probability": 0.386474609375}, {"start": 129.76, "end": 131.3, "word": " يتقاطع", "probability": 0.9873046875}, {"start": 131.3, "end": 131.5, 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{"start": 146.56, "end": 146.9, "word": " هذا", "probability": 0.95556640625}, {"start": 146.9, "end": 147.14, "word": " لا", "probability": 0.80615234375}, {"start": 147.14, "end": 147.98, "word": " يساوي", "probability": 0.9227294921875}, {"start": 147.98, "end": 148.76, "word": " five", "probability": 0.72705078125}, {"start": 148.76, "end": 152.44, "word": " okay", "probability": 0.74755859375}, {"start": 152.44, "end": 152.86, "word": " كمان", "probability": 0.951171875}, {"start": 152.86, "end": 153.2, "word": " مرة", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 6, "seek": 17435, "start": 154.79, "end": 174.35, "text": "النقطة C هذه بتكون cluster point للمجموعة A إذا أي delta neighborhood للنقطة C بيتخاطع مع المجموعة A في نقطة X مختلفة عن الـC بس لازم كل delta neighborhood لـC", "tokens": [6027, 1863, 47432, 3660, 383, 29538, 39894, 30544, 13630, 935, 5296, 19528, 7435, 2304, 2407, 27884, 316, 11933, 15730, 36632, 8289, 7630, 24976, 1863, 47432, 3660, 383, 4724, 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اقول there exist بدل for every delta او every delta neighborhood", "tokens": [1829, 2655, 4587, 41193, 3615, 20449, 9673, 7435, 2304, 2407, 27884, 316, 8978, 8717, 47432, 3660, 1783, 3714, 46456, 46538, 3660, 18871, 2423, 39184, 34, 23032, 3555, 6225, 8592, 7649, 1975, 12984, 3555, 2655, 16472, 2423, 39184, 34, 32239, 14851, 13630, 935, 44945, 41185, 25124, 2288, 9566, 23758, 7251, 4117, 41185, 16472, 1975, 39648, 456, 2514, 47525, 1211, 337, 633, 8289, 1975, 2407, 633, 8289, 7630], "avg_logprob": -0.20102611851336352, "compression_ratio": 1.3846153846153846, "no_speech_prob": 0.0, "words": [{"start": 175.39999999999998, "end": 176.32, "word": "يتقاطع", "probability": 0.818408203125}, {"start": 176.32, "end": 176.64, "word": " مع", "probability": 0.87109375}, {"start": 176.64, "end": 177.48, "word": " المجموعة", "probability": 0.90771484375}, {"start": 177.48, "end": 177.76, "word": " A", "probability": 0.476318359375}, {"start": 177.76, "end": 178.06, "word": " في", "probability": 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520.25, "end": 520.45, "word": " c", "probability": 0.91796875}, {"start": 520.45, "end": 520.75, "word": " زاد", "probability": 0.86474609375}, {"start": 520.75, "end": 521.05, "word": " واحد", "probability": 0.990234375}, {"start": 521.05, "end": 521.23, "word": " على", "probability": 0.9228515625}, {"start": 521.23, "end": 521.51, "word": " n", "probability": 0.97998046875}, {"start": 521.51, "end": 522.75, "word": " هذا", "probability": 0.708984375}, {"start": 522.75, "end": 523.13, "word": " معناه", "probability": 0.9777018229166666}, {"start": 523.13, "end": 523.61, "word": " absolute", "probability": 0.5693359375}, {"start": 523.61, "end": 524.03, "word": " a", "probability": 0.95703125}, {"start": 524.03, "end": 524.21, "word": " n", "probability": 0.978515625}, {"start": 524.21, "end": 524.63, "word": " minus", "probability": 0.9208984375}, {"start": 524.63, "end": 524.83, "word": " c", "probability": 0.98291015625}, {"start": 524.83, "end": 525.17, "word": " أصغر", "probability": 0.98681640625}, {"start": 525.17, "end": 525.31, "word": " من", "probability": 0.99462890625}, {"start": 525.31, "end": 525.65, "word": " واحد", "probability": 0.990966796875}, {"start": 525.65, "end": 525.83, "word": " على", "probability": 0.921875}, {"start": 525.83, "end": 526.19, "word": " n", "probability": 0.92236328125}, {"start": 526.19, "end": 527.15, "word": " لكل", "probability": 0.94287109375}, {"start": 527.15, "end": 527.41, "word": " n", "probability": 0.94921875}, {"start": 527.41, "end": 527.63, "word": " هذا", "probability": 0.533203125}, {"start": 527.63, "end": 528.07, "word": " صحيح", "probability": 0.9962158203125}, {"start": 528.07, "end": 528.49, "word": " لكل", "probability": 0.9853515625}, {"start": 528.49, "end": 528.79, "word": " n", "probability": 0.951171875}], "temperature": 1.0}, {"id": 20, "seek": 55661, "start": 532.39, "end": 556.61, "text": "إذا هاي فيها sequence إذا هاي أثبتنا مايوجد sequence إذا am is a sequence in a وكل حدودها مختلفة عن ال c and by theorem اتنين اربعة الشهيرة", "tokens": [28814, 15730, 8032, 47302, 8978, 11296, 8310, 11933, 15730, 8032, 47302, 5551, 12984, 3555, 2655, 8315, 19446, 1829, 29245, 3215, 8310, 11933, 15730, 669, 307, 257, 8310, 294, 257, 4032, 28820, 11331, 3215, 23328, 11296, 3714, 46456, 46538, 3660, 18871, 2423, 269, 293, 538, 20904, 1975, 2655, 1863, 9957, 1975, 25513, 27884, 25124, 3224, 48923], "avg_logprob": -0.33677453973463606, "compression_ratio": 1.4206896551724137, "no_speech_prob": 0.0, "words": [{"start": 532.39, "end": 532.75, "word": "إذا", "probability": 0.5218505859375}, {"start": 532.75, "end": 532.95, "word": " هاي", "probability": 0.5963134765625}, {"start": 532.95, "end": 533.19, "word": " فيها", "probability": 0.623779296875}, {"start": 533.19, "end": 533.61, "word": " sequence", "probability": 0.2027587890625}, {"start": 533.61, "end": 535.51, "word": " إذا", "probability": 0.6297607421875}, {"start": 535.51, "end": 535.85, "word": " هاي", "probability": 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واحد عدن موجب لأن بيطلع limit ال sequence A N as N tends to infinity بساوي S C إذن هين أثبتنا إنه لو كانت C cluster point فأثبتنا إنه يوجد sequence A N في المجموعة A", "tokens": [10721, 8315, 18871, 16254, 2423, 39184, 8236, 2158, 8032, 8848, 1829, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 15844, 426, 5296, 28820, 426, 4948, 36764, 24401, 15844, 426, 20666, 3794, 995, 45865, 8608, 5172, 2288, 16490, 3215, 383, 20666, 3794, 995, 45865, 36764, 24401, 6225, 3215, 1863, 3714, 29245, 3555, 5296, 33456, 4724, 1829, 9566, 1211, 3615, 4948, 2423, 8310, 316, 426, 382, 426, 12258, 281, 13202, 4724, 3794, 995, 45865, 318, 383, 11933, 8848, 1863, 8032, 9957, 5551, 12984, 3555, 2655, 8315, 36145, 3224, 45164, 25961, 2655, 383, 13630, 935, 6156, 10721, 12984, 3555, 2655, 8315, 36145, 3224, 7251, 29245, 3215, 8310, 316, 426, 8978, 9673, 7435, 2304, 2407, 27884, 316], "avg_logprob": -0.2712942393480149, "compression_ratio": 1.6182572614107884, "no_speech_prob": 0.0, "words": [{"start": 558.56, 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"end": 576.1, "word": " بساوي", "probability": 0.8883056640625}, {"start": 576.1, "end": 576.44, "word": " S", "probability": 0.2413330078125}, {"start": 576.44, "end": 577.08, "word": " C", "probability": 0.83642578125}, {"start": 577.08, "end": 577.44, "word": " إذن", "probability": 0.6790364583333334}, {"start": 577.44, "end": 577.64, "word": " هين", "probability": 0.4549560546875}, {"start": 577.64, "end": 578.24, "word": " أثبتنا", "probability": 0.9724609375}, {"start": 578.24, "end": 579.12, "word": " إنه", "probability": 0.57568359375}, {"start": 579.12, "end": 579.3, "word": " لو", "probability": 0.98876953125}, {"start": 579.3, "end": 579.78, "word": " كانت", "probability": 0.947021484375}, {"start": 579.78, "end": 580.04, "word": " C", "probability": 0.89501953125}, {"start": 580.04, "end": 580.58, "word": " cluster", "probability": 0.89208984375}, {"start": 580.58, "end": 581.16, "word": " point", "probability": 0.95947265625}, {"start": 581.16, "end": 583.1, "word": " فأثبتنا", "probability": 0.9703776041666666}, {"start": 583.1, "end": 583.36, "word": " إنه", "probability": 0.6650390625}, {"start": 583.36, "end": 583.7, "word": " يوجد", "probability": 0.9912109375}, {"start": 583.7, "end": 584.1, "word": " sequence", "probability": 0.970703125}, {"start": 584.1, "end": 584.58, "word": " A", "probability": 0.8828125}, {"start": 584.58, "end": 584.92, "word": " N", "probability": 0.9375}, {"start": 584.92, "end": 585.8, "word": " في", "probability": 0.96435546875}, {"start": 585.8, "end": 586.58, "word": " المجموعة", "probability": 0.9251953125}, {"start": 586.58, "end": 586.86, "word": " A", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 22, "seek": 60491, "start": 587.84, "end": 604.92, "text": "وكل عناصرها مختلفة عن الـ C ونهايتها بساوي الـ C إذا هذا بثبت جزء ال only if part الآن لثبت العكس لإثبات العكس", "tokens": [2407, 28820, 18871, 33546, 2288, 11296, 3714, 46456, 46538, 3660, 18871, 2423, 39184, 383, 4032, 1863, 11296, 36081, 11296, 4724, 3794, 995, 45865, 2423, 39184, 383, 11933, 15730, 23758, 4724, 12984, 3555, 2655, 10874, 11622, 38207, 2423, 787, 498, 644, 6024, 48506, 5296, 12984, 3555, 2655, 18863, 4117, 3794, 5296, 28814, 12984, 3555, 9307, 18863, 4117, 3794], "avg_logprob": -0.19652478165667633, "compression_ratio": 1.4090909090909092, "no_speech_prob": 0.0, "words": [{"start": 587.84, "end": 588.42, "word": "وكل", "probability": 0.83056640625}, {"start": 588.42, "end": 588.92, "word": " عناصرها", "probability": 0.9364013671875}, {"start": 588.92, "end": 589.52, "word": " مختلفة", "probability": 0.9759521484375}, {"start": 589.52, "end": 589.68, "word": " عن", "probability": 0.9609375}, {"start": 589.68, "end": 589.86, "word": " الـ", "probability": 0.6591796875}, {"start": 589.86, "end": 590.1, "word": " C", "probability": 0.44091796875}, {"start": 590.1, "end": 591.38, "word": " ونهايتها", "probability": 0.8755859375}, {"start": 591.38, "end": 592.08, "word": " بساوي", "probability": 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"word": " الشرط", "probability": 0.9051106770833334}, {"start": 623.87, "end": 624.35, "word": " اللي", "probability": 0.5208740234375}, {"start": 624.35, "end": 624.35, "word": " حصل", "probability": 0.6748046875}, {"start": 624.35, "end": 628.09, "word": " بتتحقق", "probability": 0.7366455078125}, {"start": 628.09, "end": 629.89, "word": " assume", "probability": 0.1456298828125}, {"start": 629.89, "end": 630.57, "word": " ال", "probability": 0.5068359375}, {"start": 630.57, "end": 631.37, "word": " condition", "probability": 0.77685546875}, {"start": 631.37, "end": 632.13, "word": " اللي", "probability": 0.59100341796875}, {"start": 632.13, "end": 632.13, "word": " حصل", "probability": 0.93798828125}, {"start": 632.13, "end": 634.73, "word": " holds", "probability": 0.332763671875}, {"start": 634.73, "end": 635.03, "word": " يعني", "probability": 0.6737060546875}, {"start": 635.03, "end": 636.21, "word": " بتتحقق", "probability": 0.90771484375}, {"start": 636.21, "end": 641.25, 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دحيث أنه لكل n أكبر من أو سوى capital N هذا بيقدي أنه absolute a n minus c أصغر من delta", "tokens": [1211, 1211, 39184, 4948, 5296, 10721, 1829, 8289, 34051, 11933, 3555, 3794, 1211, 11536, 6225, 3215, 3215, 3714, 29245, 3660, 456, 2514, 297, 7251, 34268, 2304, 3215, 15844, 8289, 3303, 1230, 11778, 5016, 1829, 12984, 14739, 3224, 5296, 28820, 297, 5551, 4117, 26890, 9154, 34051, 8608, 2407, 7578, 4238, 426, 23758, 4724, 1829, 4587, 16254, 14739, 3224, 8236, 257, 297, 3175, 269, 5551, 9381, 17082, 2288, 9154, 8289], "avg_logprob": -0.3043478226316148, "compression_ratio": 1.3204419889502763, "no_speech_prob": 0.0, "words": [{"start": 681.28, "end": 681.78, "word": "للـ", "probability": 0.584228515625}, {"start": 681.78, "end": 682.08, "word": " limit", "probability": 0.81689453125}, {"start": 682.08, "end": 683.66, "word": " لأي", "probability": 0.9093424479166666}, {"start": 683.66, "end": 684.1, "word": " delta", "probability": 0.440673828125}, {"start": 684.1, "end": 684.32, "word": 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"word": "إذاً", "probability": 0.54833984375}, {"start": 711.31, "end": 711.79, "word": " هذا", "probability": 0.87109375}, {"start": 711.79, "end": 712.81, "word": " بيقدّي", "probability": 0.74150390625}, {"start": 712.81, "end": 714.67, "word": " إنه", "probability": 0.66162109375}, {"start": 714.67, "end": 717.19, "word": " هيعندي", "probability": 0.7392578125}, {"start": 717.19, "end": 717.87, "word": " am", "probability": 0.1650390625}], "temperature": 1.0}, {"id": 27, "seek": 74701, "start": 722.99, "end": 747.01, "text": "طبعا هدف قلبي أن a n أصغر من c زائد delta أكبر من c negative delta يعني a n تنتمي إلى v delta of c وتنتمي طبعا من ال condition star تنتمي إلى a difference c", "tokens": [9566, 3555, 3615, 995, 8032, 3215, 5172, 12174, 1211, 21292, 14739, 257, 297, 5551, 9381, 17082, 2288, 9154, 269, 30767, 16373, 3215, 8289, 5551, 4117, 26890, 9154, 269, 3671, 8289, 37495, 22653, 257, 297, 6055, 29399, 2304, 1829, 30731, 371, 8289, 295, 269, 34683, 29399, 2304, 1829, 23032, 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0.6971028645833334}, {"start": 730.37, "end": 730.81, "word": " delta", "probability": 0.467041015625}, {"start": 730.81, "end": 731.51, "word": " أكبر", "probability": 0.9524739583333334}, {"start": 731.51, "end": 731.75, "word": " من", "probability": 0.990234375}, {"start": 731.75, "end": 732.11, "word": " c", "probability": 0.8515625}, {"start": 732.11, "end": 733.19, "word": " negative", "probability": 0.8642578125}, {"start": 733.19, "end": 733.77, "word": " delta", "probability": 0.90185546875}, {"start": 733.77, "end": 734.67, "word": " يعني", "probability": 0.771728515625}, {"start": 734.67, "end": 734.95, "word": " a", "probability": 0.9462890625}, {"start": 734.95, "end": 735.37, "word": " n", "probability": 0.9091796875}, {"start": 735.37, "end": 736.07, "word": " تنتمي", "probability": 0.7957763671875}, {"start": 736.07, "end": 736.47, "word": " إلى", "probability": 0.85498046875}, {"start": 736.47, "end": 737.69, "word": " v", "probability": 0.3017578125}, {"start": 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difference", "probability": 0.8193359375}, {"start": 746.43, "end": 747.01, "word": " c", "probability": 0.7841796875}], "temperature": 1.0}, {"id": 28, "seek": 77640, "start": 749.18, "end": 776.4, "text": "و هذا صحيح لكل n أكبر من أو ساوي capital N إذا هاي كل delta neighborhood ل C بيتقاطع مع A في عدد لانهائي من النقاط المختلفة عن ال C وبالتالي الشرط تبع ال definition هيتحقق", "tokens": [2407, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 297, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 4238, 426, 11933, 15730, 8032, 47302, 28242, 8289, 7630, 5296, 383, 4724, 36081, 4587, 41193, 3615, 20449, 316, 8978, 6225, 3215, 3215, 5296, 7649, 3224, 16373, 1829, 9154, 28239, 4587, 41193, 9673, 46456, 46538, 3660, 18871, 2423, 383, 46599, 6027, 2655, 6027, 1829, 25124, 2288, 9566, 6055, 3555, 3615, 2423, 7123, 39896, 2655, 5016, 4587, 4587], "avg_logprob": -0.19172297659757975, "compression_ratio": 1.3958333333333333, "no_speech_prob": 0.0, "words": [{"start": 749.18, "end": 749.38, "word": "و", "probability": 0.869140625}, {"start": 749.38, "end": 749.62, "word": " هذا", "probability": 0.5029296875}, {"start": 749.62, "end": 750.7, "word": " صحيح", "probability": 0.994140625}, {"start": 750.7, "end": 751.68, "word": " لكل", "probability": 0.956298828125}, {"start": 751.68, "end": 752.18, "word": " n", "probability": 0.419921875}, {"start": 752.18, "end": 752.78, "word": " أكبر", "probability": 0.9298502604166666}, {"start": 752.78, "end": 753.06, "word": " من", "probability": 0.95703125}, {"start": 753.06, "end": 753.28, "word": " أو", "probability": 0.84521484375}, {"start": 753.28, "end": 753.94, "word": " ساوي", "probability": 0.9173177083333334}, {"start": 753.94, "end": 754.44, "word": " capital", "probability": 0.215576171875}, {"start": 754.44, "end": 754.8, "word": " N", "probability": 0.77197265625}, {"start": 754.8, "end": 756.44, "word": " إذا", "probability": 0.555419921875}, {"start": 756.44, "end": 756.96, "word": " هاي", "probability": 0.5411376953125}, {"start": 756.96, "end": 757.58, "word": " كل", "probability": 0.96728515625}, {"start": 757.58, "end": 758.06, "word": " delta", "probability": 0.693359375}, {"start": 758.06, "end": 758.66, "word": " neighborhood", "probability": 0.66064453125}, {"start": 758.66, "end": 758.92, "word": " ل", "probability": 0.95068359375}, {"start": 758.92, "end": 759.28, "word": " C", "probability": 0.436767578125}, {"start": 759.28, "end": 760.88, "word": " بيتقاطع", "probability": 0.9115234375}, {"start": 760.88, "end": 761.14, "word": " مع", "probability": 0.98388671875}, {"start": 761.14, "end": 761.64, "word": " A", "probability": 0.857421875}, {"start": 761.64, "end": 763.18, "word": " في", "probability": 0.7685546875}, {"start": 763.18, "end": 763.88, "word": " عدد", "probability": 0.9736328125}, {"start": 763.88, "end": 765.14, "word": " لانهائي", "probability": 0.92294921875}, {"start": 765.14, "end": 766.16, "word": " من", "probability": 0.98779296875}, {"start": 766.16, "end": 767.54, "word": " النقاط", "probability": 0.8575846354166666}, {"start": 767.54, "end": 770.24, "word": " المختلفة", "probability": 0.98046875}, {"start": 770.24, "end": 770.36, "word": " عن", "probability": 0.94384765625}, {"start": 770.36, "end": 770.54, "word": " ال", "probability": 0.580078125}, {"start": 770.54, "end": 770.76, "word": " C", "probability": 0.509765625}, {"start": 770.76, "end": 772.98, "word": " وبالتالي", "probability": 0.9220703125}, {"start": 772.98, "end": 773.44, "word": " الشرط", "probability": 0.9225260416666666}, {"start": 773.44, "end": 773.72, "word": " تبع", "probability": 0.796875}, {"start": 773.72, "end": 774.0, "word": " ال", "probability": 0.5263671875}, {"start": 774.0, "end": 775.34, "word": " definition", "probability": 0.9287109375}, {"start": 775.34, "end": 776.4, "word": " هيتحقق", "probability": 0.9001953125}], "temperature": 1.0}, {"id": 29, "seek": 80000, "start": 777.18, "end": 800.0, "text": "و then by definition .. by definition C is a cluster point of the set A و هدا بكمل ال F part and therefore completes the proof of the theorem okay تمام؟", "tokens": [2407, 550, 538, 7123, 4386, 538, 7123, 383, 307, 257, 13630, 935, 295, 264, 992, 316, 4032, 8032, 28259, 4724, 24793, 1211, 2423, 479, 644, 293, 4412, 36362, 264, 8177, 295, 264, 20904, 1392, 46811, 10943, 22807], "avg_logprob": -0.3301809328167062, "compression_ratio": 1.2352941176470589, "no_speech_prob": 0.0, "words": [{"start": 777.18, "end": 777.42, "word": "و", "probability": 0.5615234375}, {"start": 777.42, "end": 777.72, "word": " then", "probability": 0.052337646484375}, {"start": 777.72, "end": 778.68, "word": " by", "probability": 0.90966796875}, {"start": 778.68, "end": 779.36, "word": " definition", "probability": 0.90185546875}, {"start": 779.36, "end": 779.74, "word": " ..", "probability": 0.353759765625}, {"start": 779.74, "end": 781.98, "word": " by", "probability": 0.8623046875}, {"start": 781.98, "end": 782.7, "word": " definition", "probability": 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0.8250325520833334}], "temperature": 1.0}, {"id": 30, "seek": 80754, "start": 805.14, "end": 807.54, "text": "Fine خلّينا ناخد بعض الأمثلة", "tokens": [41415, 16490, 1211, 11703, 9957, 995, 8717, 47283, 3215, 45030, 11242, 16247, 2304, 12984, 37977], "avg_logprob": -0.18225097563117743, "compression_ratio": 0.8727272727272727, "no_speech_prob": 0.0, "words": [{"start": 805.14, "end": 805.44, "word": "Fine", "probability": 0.320068359375}, {"start": 805.44, "end": 805.84, "word": " خلّينا", "probability": 0.755517578125}, {"start": 805.84, "end": 806.42, "word": " ناخد", "probability": 0.9947916666666666}, {"start": 806.42, "end": 806.9, "word": " بعض", "probability": 0.98486328125}, {"start": 806.9, "end": 807.54, "word": " الأمثلة", "probability": 0.9617919921875}], "temperature": 1.0}, {"id": 31, "seek": 85677, "start": 829.07, "end": 856.77, "text": "تشير إلى أن كل X ينتمي إلى مقفل مقفل مقفل مقفل", "tokens": [2655, 8592, 13546, 30731, 14739, 28242, 1783, 7251, 29399, 2304, 1829, 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881.36, "word": " إن", "probability": 0.285400390625}, {"start": 881.36, "end": 881.76, "word": " كل", "probability": 0.92431640625}, {"start": 881.76, "end": 882.1, "word": " X", "probability": 0.576171875}, {"start": 882.1, "end": 882.66, "word": " الفترة", "probability": 0.9265950520833334}, {"start": 882.66, "end": 883.18, "word": " المغلقة", "probability": 0.9755859375}, {"start": 883.18, "end": 883.42, "word": " من", "probability": 0.9833984375}, {"start": 883.42, "end": 883.72, "word": " سفر", "probability": 0.9803059895833334}, {"start": 883.72, "end": 883.88, "word": " إلى", "probability": 0.98046875}, {"start": 883.88, "end": 884.32, "word": " واحد", "probability": 0.992919921875}, {"start": 884.32, "end": 885.46, "word": " هي", "probability": 0.8876953125}, {"start": 885.46, "end": 886.0, "word": " cluster", "probability": 0.93798828125}, {"start": 886.0, "end": 886.48, "word": " point", "probability": 0.9736328125}, {"start": 886.48, "end": 887.14, "word": " للفترة", "probability": 0.9190673828125}, {"start": 887.14, "end": 888.12, "word": " المفتوحة", "probability": 0.994873046875}, {"start": 888.12, "end": 889.08, "word": " من", "probability": 0.9501953125}, {"start": 889.08, "end": 889.72, "word": " سفر", "probability": 0.9900716145833334}, {"start": 889.72, "end": 889.94, "word": " إلى", "probability": 0.98095703125}, {"start": 889.94, "end": 890.48, "word": " واحد", "probability": 0.992431640625}], "temperature": 1.0}, {"id": 33, "seek": 92662, "start": 901.36, "end": 926.62, "text": "ففي الأول بدي أثبت أنه كل نقطة داخل الفترة المغلقة هي cluster point للمجموع عادي و بعدين في المرحلة التانية حتة من نقاط الأطراف اللي هي 01 تطلع أيضا cluster point لست A1 فنشوف مع بعض ان ال claim 1", "tokens": [5172, 41185, 16247, 12610, 4724, 16254, 5551, 12984, 3555, 2655, 14739, 3224, 28242, 8717, 47432, 3660, 11778, 47283, 1211, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 39896, 13630, 935, 5296, 19528, 7435, 2304, 45367, 6225, 995, 16254, 4032, 39182, 9957, 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التانية", "probability": 0.9684244791666666}, {"start": 914.82, "end": 915.1, "word": " حتة", "probability": 0.5916341145833334}, {"start": 915.1, "end": 915.34, "word": " من", "probability": 0.8603515625}, {"start": 915.34, "end": 915.8, "word": " نقاط", "probability": 0.661865234375}, {"start": 915.8, "end": 916.46, "word": " الأطراف", "probability": 0.9564208984375}, {"start": 916.46, "end": 917.3, "word": " اللي", "probability": 0.87939453125}, {"start": 917.3, "end": 917.52, "word": " هي", "probability": 0.9091796875}, {"start": 917.52, "end": 918.0, "word": " 01", "probability": 0.417236328125}, {"start": 918.0, "end": 919.5, "word": " تطلع", "probability": 0.8983154296875}, {"start": 919.5, "end": 919.84, "word": " أيضا", "probability": 0.8030598958333334}, {"start": 919.84, "end": 920.26, "word": " cluster", "probability": 0.9482421875}, {"start": 920.26, "end": 920.86, "word": " point", "probability": 0.978515625}, {"start": 920.86, "end": 921.46, "word": " لست", "probability": 0.370849609375}, {"start": 921.46, "end": 922.6, "word": " A1", "probability": 0.823974609375}, {"start": 922.6, "end": 924.04, "word": " فنشوف", "probability": 0.9556884765625}, {"start": 924.04, "end": 924.22, "word": " مع", "probability": 0.99560546875}, {"start": 924.22, "end": 924.7, "word": " بعض", "probability": 0.987060546875}, {"start": 924.7, "end": 925.62, "word": " ان", "probability": 0.312255859375}, {"start": 925.62, "end": 925.84, "word": " ال", "probability": 0.87744140625}, {"start": 925.84, "end": 926.18, "word": " claim", "probability": 0.92041015625}, {"start": 926.18, "end": 926.62, "word": " 1", "probability": 0.57861328125}], "temperature": 1.0}, {"id": 34, "seek": 95957, "start": 934.01, "end": 959.57, "text": "بنثبت ان كل X ينتمي للفترة المفتوحة is a cluster point of set A1 اللي هي الفترة المفتوحة نفسها لبرهان ذلك to see this", "tokens": [3555, 1863, 12984, 3555, 2655, 16472, 28242, 1783, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 307, 257, 13630, 935, 295, 992, 316, 16, 13672, 1829, 39896, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 8717, 36178, 11296, 5296, 26890, 3224, 7649, 29910, 23275, 281, 536, 341], "avg_logprob": -0.22471591505137356, "compression_ratio": 1.335820895522388, "no_speech_prob": 0.0, "words": [{"start": 934.01, "end": 934.79, "word": "بنثبت", "probability": 0.76279296875}, {"start": 934.79, "end": 934.99, "word": " ان", "probability": 0.61181640625}, {"start": 934.99, "end": 935.65, "word": " كل", "probability": 0.6220703125}, {"start": 935.65, "end": 938.63, "word": " X", "probability": 0.377197265625}, {"start": 938.63, "end": 939.75, "word": " ينتمي", "probability": 0.87841796875}, {"start": 939.75, "end": 941.45, "word": " للفترة", "probability": 0.8533935546875}, {"start": 941.45, "end": 942.59, "word": " المفتوحة", "probability": 0.9762369791666666}, {"start": 942.59, "end": 944.45, "word": " is", "probability": 0.180908203125}, {"start": 944.45, "end": 944.77, "word": " a", "probability": 0.888671875}, {"start": 944.77, "end": 945.19, "word": " cluster", "probability": 0.92138671875}, {"start": 945.19, "end": 945.95, "word": " point", "probability": 0.97314453125}, {"start": 945.95, "end": 950.41, "word": " of", "probability": 0.55517578125}, {"start": 950.41, "end": 951.25, "word": " set", "probability": 0.366943359375}, {"start": 951.25, "end": 952.13, "word": " A1", "probability": 0.91259765625}, {"start": 952.13, "end": 953.45, "word": " اللي", "probability": 0.6453857421875}, {"start": 953.45, "end": 953.57, "word": " هي", "probability": 0.84423828125}, {"start": 953.57, "end": 953.97, "word": " الفترة", "probability": 0.9772135416666666}, {"start": 953.97, "end": 954.51, "word": " المفتوحة", "probability": 0.994384765625}, {"start": 954.51, "end": 956.01, "word": " نفسها", "probability": 0.9816080729166666}, {"start": 956.01, "end": 957.95, "word": " لبرهان", "probability": 0.75640869140625}, {"start": 957.95, "end": 958.49, "word": " ذلك", "probability": 0.993896484375}, {"start": 958.49, "end": 958.73, "word": " to", "probability": 0.53515625}, {"start": 958.73, "end": 959.07, "word": " see", "probability": 0.92822265625}, {"start": 959.07, "end": 959.57, "word": " this", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 35, "seek": 98767, "start": 962.03, "end": 987.67, "text": "البرهن ذلك fix ينتمي للفترة المفتوحة ونثبت ان cluster point للمجموعة a1 اذا fix x and let delta أكبر من السفر be given", "tokens": [6027, 26890, 3224, 1863, 29910, 23275, 3191, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 4032, 1863, 12984, 3555, 2655, 16472, 13630, 935, 5296, 19528, 7435, 2304, 2407, 27884, 257, 16, 1975, 15730, 3191, 2031, 293, 718, 8289, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 312, 2212], "avg_logprob": -0.3284143524037467, "compression_ratio": 1.2152777777777777, "no_speech_prob": 0.0, "words": [{"start": 962.03, "end": 962.73, "word": 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"word": " اذا", "probability": 0.641357421875}, {"start": 978.31, "end": 978.85, "word": " fix", "probability": 0.60791015625}, {"start": 978.85, "end": 979.67, "word": " x", "probability": 0.85791015625}, {"start": 979.67, "end": 981.39, "word": " and", "probability": 0.87744140625}, {"start": 981.39, "end": 981.93, "word": " let", "probability": 0.93017578125}, {"start": 981.93, "end": 983.97, "word": " delta", "probability": 0.66162109375}, {"start": 983.97, "end": 984.47, "word": " أكبر", "probability": 0.8375651041666666}, {"start": 984.47, "end": 984.67, "word": " من", "probability": 0.9931640625}, {"start": 984.67, "end": 985.29, "word": " السفر", "probability": 0.7738444010416666}, {"start": 985.29, "end": 987.09, "word": " be", "probability": 0.78759765625}, {"start": 987.09, "end": 987.67, "word": " given", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 36, "seek": 101692, "start": 989.36, "end": 1016.92, "text": "نبدأ بالـ delta أكبر من 0 ونثبت أن كل delta 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0.90869140625}, {"start": 1001.22, "end": 1001.92, "word": " المجموعة", "probability": 0.9427734375}, {"start": 1001.92, "end": 1002.62, "word": " A1", "probability": 0.759765625}, {"start": 1002.62, "end": 1002.82, "word": " في", "probability": 0.923828125}, {"start": 1002.82, "end": 1003.18, "word": " نقطة", "probability": 0.9861653645833334}, {"start": 1003.18, "end": 1003.7, "word": " مختلفة", "probability": 0.9881591796875}, {"start": 1003.7, "end": 1003.86, "word": " عن", "probability": 0.955078125}, {"start": 1003.86, "end": 1004.18, "word": " X", "probability": 0.95751953125}, {"start": 1004.18, "end": 1006.18, "word": " وبالتالي", "probability": 0.91806640625}, {"start": 1006.18, "end": 1007.28, "word": " الـ", "probability": 0.54248046875}, {"start": 1007.28, "end": 1007.46, "word": " X", "probability": 0.92578125}, {"start": 1007.46, "end": 1008.12, "word": " هتطلع", "probability": 0.951171875}, {"start": 1008.12, "end": 1009.4, "word": " cluster", "probability": 0.85595703125}, {"start": 1009.4, "end": 1009.94, "word": " point", "probability": 0.96044921875}, {"start": 1009.94, "end": 1010.3, "word": " حسب", "probability": 0.939453125}, {"start": 1010.3, "end": 1010.96, "word": " التعريف", "probability": 0.990234375}, {"start": 1010.96, "end": 1012.1, "word": " طيب", "probability": 0.8023274739583334}, {"start": 1012.1, "end": 1015.96, "word": " نحن", "probability": 0.70703125}, {"start": 1015.96, "end": 1016.18, "word": " لدينا", "probability": 0.8095703125}, {"start": 1016.18, "end": 1016.92, "word": " اتصالين", "probability": 0.5939453125}], "temperature": 1.0}, {"id": 37, "seek": 105005, "start": 1021.27, "end": 1050.05, "text": "two cases حالتين الحالة الأولى ان ال delta هذه اللى انا اخترتها العشوائية ال delta اللى انا اخترتها ممكن تكون اصغر من .. طبعا موجبة هي ممكن تكون اصغر من واحد ف in this case in this case في هذه الحالة", "tokens": [20534, 3331, 11331, 6027, 2655, 9957, 21542, 6027, 3660, 16247, 12610, 7578, 16472, 2423, 8289, 29538, 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"probability": 0.982421875}, {"start": 1034.67, "end": 1035.97, "word": " ممكن", "probability": 0.882568359375}, {"start": 1035.97, "end": 1036.51, "word": " تكون", "probability": 0.992431640625}, {"start": 1036.51, "end": 1037.05, "word": " اصغر", "probability": 0.92578125}, {"start": 1037.05, "end": 1037.19, "word": " من", "probability": 0.91796875}, {"start": 1037.19, "end": 1037.31, "word": " ..", "probability": 0.1962890625}, {"start": 1037.31, "end": 1037.67, "word": " طبعا", "probability": 0.94921875}, {"start": 1037.67, "end": 1038.15, "word": " موجبة", "probability": 0.72900390625}, {"start": 1038.15, "end": 1038.49, "word": " هي", "probability": 0.7490234375}, {"start": 1038.49, "end": 1039.59, "word": " ممكن", "probability": 0.968017578125}, {"start": 1039.59, "end": 1040.09, "word": " تكون", "probability": 0.992919921875}, {"start": 1040.09, "end": 1040.65, "word": " اصغر", "probability": 0.978271484375}, {"start": 1040.65, "end": 1040.83, "word": " من", "probability": 0.99755859375}, {"start": 1040.83, "end": 1041.27, "word": " واحد", "probability": 0.976806640625}, {"start": 1041.27, "end": 1042.91, "word": " ف", "probability": 0.83203125}, {"start": 1042.91, "end": 1043.23, "word": " in", "probability": 0.9072265625}, {"start": 1043.23, "end": 1043.59, "word": " this", "probability": 0.9716796875}, {"start": 1043.59, "end": 1044.15, "word": " case", "probability": 0.94677734375}, {"start": 1044.15, "end": 1047.93, "word": " in", "probability": 0.53759765625}, {"start": 1047.93, "end": 1048.29, "word": " this", "probability": 0.9697265625}, {"start": 1048.29, "end": 1048.79, "word": " case", "probability": 0.9482421875}, {"start": 1048.79, "end": 1049.07, "word": " في", "probability": 0.70068359375}, {"start": 1049.07, "end": 1049.43, "word": " هذه", "probability": 0.9169921875}, {"start": 1049.43, "end": 1050.05, "word": " الحالة", "probability": 0.9947916666666666}], "temperature": 1.0}, {"id": 38, "seek": 108054, "start": 1055.0, "end": 1080.54, "text": "لدينا in this case الـ delta neighborhood ل X اللي هو X minus Delta X موجة Delta", "tokens": [1211, 16254, 8315, 294, 341, 1389, 2423, 39184, 8289, 7630, 5296, 1783, 13672, 1829, 31439, 1783, 3175, 18183, 1783, 3714, 29245, 3660, 18183], "avg_logprob": -0.3136393204331398, "compression_ratio": 1.064516129032258, "no_speech_prob": 0.0, "words": [{"start": 1055.0, "end": 1056.2, "word": "لدينا", "probability": 0.7679036458333334}, {"start": 1056.2, "end": 1057.4, "word": " in", "probability": 0.44970703125}, {"start": 1057.4, "end": 1069.44, "word": " this", "probability": 0.96875}, {"start": 1069.44, "end": 1069.98, "word": " case", "probability": 0.93408203125}, {"start": 1069.98, "end": 1071.76, "word": " الـ", "probability": 0.634521484375}, {"start": 1071.76, "end": 1072.5, "word": " delta", "probability": 0.6806640625}, {"start": 1072.5, "end": 1074.62, "word": " neighborhood", "probability": 0.716796875}, {"start": 1074.62, "end": 1075.2, "word": " ل", "probability": 0.8896484375}, {"start": 1075.2, "end": 1075.94, "word": " X", "probability": 0.321533203125}, {"start": 1075.94, "end": 1077.4, "word": " اللي", "probability": 0.814697265625}, {"start": 1077.4, "end": 1077.68, "word": " هو", "probability": 0.98193359375}, {"start": 1077.68, "end": 1078.08, "word": " X", "probability": 0.83935546875}, {"start": 1078.08, "end": 1078.68, "word": " minus", "probability": 0.62158203125}, {"start": 1078.68, "end": 1079.2, "word": " Delta", "probability": 0.419189453125}, {"start": 1079.2, "end": 1079.6, "word": " X", "probability": 0.93994140625}, {"start": 1079.6, "end": 1080.14, "word": " موجة", "probability": 0.7200520833333334}, {"start": 1080.14, "end": 1080.54, "word": " Delta", "probability": 0.74951171875}], "temperature": 1.0}, {"id": 39, "seek": 109753, "start": 1081.89, "end": 1097.53, "text": "بنلاحظ انه تقاطع مع المجموعة ايه اللي هي الفترة اللي مفتوحة من سفر لواحد بطلع واحد من الخيارات التالية", "tokens": [3555, 1863, 15040, 5016, 19913, 16472, 3224, 6055, 4587, 41193, 3615, 20449, 9673, 7435, 2304, 2407, 27884, 1975, 1829, 3224, 13672, 1829, 39896, 27188, 2655, 25720, 13672, 1829, 3714, 5172, 2655, 2407, 5016, 3660, 9154, 8608, 5172, 2288, 5296, 14407, 24401, 4724, 9566, 1211, 3615, 36764, 24401, 9154, 33962, 1829, 9640, 9307, 16712, 6027, 10632], "avg_logprob": -0.17954798814441478, "compression_ratio": 1.5897435897435896, "no_speech_prob": 0.0, "words": [{"start": 1081.89, "end": 1082.45, "word": "بنلاحظ", "probability": 0.816064453125}, {"start": 1082.45, "end": 1082.75, "word": " انه", "probability": 0.6614990234375}, {"start": 1082.75, "end": 1083.63, "word": " تقاطع", "probability": 0.8160400390625}, {"start": 1083.63, "end": 1084.39, "word": " مع", "probability": 0.93408203125}, {"start": 1084.39, "end": 1086.29, "word": " المجموعة", "probability": 0.8798828125}, {"start": 1086.29, "end": 1086.65, "word": " ايه", "probability": 0.7962239583333334}, {"start": 1086.65, "end": 1086.73, "word": " اللي", 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"word": " التالية", "probability": 0.9895833333333334}], "temperature": 1.0}, {"id": 40, "seek": 112292, "start": 1098.24, "end": 1122.92, "text": "اما الفترة المفتوحة x negative delta x positive delta او الفترة المفتوحة من صفر الى اكس positive delta او الفترة المفتوحة من x negative delta الى واحد او الفترة المفتوحة من صفر الى واحد", "tokens": [995, 15042, 2423, 5172, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 2031, 3671, 8289, 2031, 3353, 8289, 1975, 2407, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 20328, 5172, 2288, 2423, 7578, 1975, 4117, 3794, 3353, 8289, 1975, 2407, 2423, 5172, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 2031, 3671, 8289, 2423, 7578, 36764, 24401, 1975, 2407, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 20328, 5172, 2288, 2423, 7578, 36764, 24401], "avg_logprob": -0.20937499813735486, "compression_ratio": 2.737864077669903, "no_speech_prob": 0.0, "words": [{"start": 1098.24, "end": 1098.7, "word": "اما", "probability": 0.4854736328125}, {"start": 1098.7, "end": 1100.84, "word": " الفترة", "probability": 0.71380615234375}, {"start": 1100.84, "end": 1101.62, "word": " المفتوحة", "probability": 0.9755045572916666}, {"start": 1101.62, "end": 1103.08, "word": " x", "probability": 0.255859375}, {"start": 1103.08, "end": 1103.56, "word": " negative", "probability": 0.25048828125}, {"start": 1103.56, "end": 1104.08, "word": " delta", "probability": 0.54541015625}, {"start": 1104.08, "end": 1104.44, "word": " x", "probability": 0.595703125}, {"start": 1104.44, "end": 1105.08, "word": " positive", "probability": 0.92236328125}, {"start": 1105.08, "end": 1105.74, "word": " delta", "probability": 0.94873046875}, {"start": 1105.74, "end": 1107.5, "word": " او", "probability": 0.850341796875}, {"start": 1107.5, "end": 1108.12, "word": " الفترة", "probability": 0.9816080729166666}, {"start": 1108.12, "end": 1108.82, "word": " المفتوحة", "probability": 0.991455078125}, {"start": 1108.82, "end": 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"probability": 0.9763997395833334}, {"start": 1331.47, "end": 1332.59, "word": " مختلفة", "probability": 0.984375}, {"start": 1332.59, "end": 1332.91, "word": " عن", "probability": 0.97509765625}, {"start": 1332.91, "end": 1333.37, "word": " x", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 49, "seek": 135316, "start": 1343.0, "end": 1353.16, "text": "الحالة التانية case two ان ال delta هذه تكون اكبر من اوسع واحد", "tokens": [6027, 5016, 6027, 3660, 16712, 7649, 10632, 1389, 732, 16472, 2423, 8289, 29538, 6055, 30544, 1975, 4117, 26890, 9154, 1975, 2407, 3794, 3615, 36764, 24401], "avg_logprob": -0.4146634672696774, "compression_ratio": 1.1494252873563218, "no_speech_prob": 0.0, "words": [{"start": 1343.0, "end": 1344.08, "word": "الحالة", "probability": 0.62548828125}, {"start": 1344.08, "end": 1344.62, "word": " التانية", "probability": 0.94580078125}, {"start": 1344.62, "end": 1347.48, "word": " case", "probability": 0.60791015625}, {"start": 1347.48, "end": 1347.94, "word": " two", "probability": 0.450439453125}, {"start": 1347.94, "end": 1349.44, "word": " ان", "probability": 0.297119140625}, {"start": 1349.44, "end": 1349.66, "word": " ال", "probability": 0.53564453125}, {"start": 1349.66, "end": 1350.14, "word": " delta", "probability": 0.5810546875}, {"start": 1350.14, "end": 1350.62, "word": " هذه", "probability": 0.395263671875}, {"start": 1350.62, "end": 1351.2, "word": " تكون", "probability": 0.921630859375}, {"start": 1351.2, "end": 1351.84, "word": " اكبر", "probability": 0.8605143229166666}, {"start": 1351.84, "end": 1352.08, "word": " من", "probability": 0.9794921875}, {"start": 1352.08, "end": 1352.7, "word": " اوسع", "probability": 0.53326416015625}, {"start": 1352.7, "end": 1353.16, "word": " واحد", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 50, "seek": 138207, "start": 1354.39, "end": 1382.07, "text": "برضه فى الحاله دى بنا نثبت انه كل delta neighborhood ال X بتقاطع مع A واحد فى نقطه مختلفه عن ال X نشوف مع بعض in this case in this case ال X negative او ال negative delta X موجب delta هذا اللى هو ال delta neighborhood ل X تقاطع", "tokens": [26890, 11242, 3224, 6156, 7578, 21542, 6027, 3224, 11778, 7578, 4724, 8315, 8717, 12984, 3555, 2655, 16472, 3224, 28242, 8289, 7630, 2423, 1783, 39894, 4587, 41193, 3615, 20449, 316, 36764, 24401, 6156, 7578, 8717, 47432, 3224, 3714, 46456, 46538, 3224, 18871, 2423, 1783, 8717, 8592, 38688, 20449, 45030, 11242, 294, 341, 1389, 294, 341, 1389, 2423, 1783, 3671, 1975, 2407, 2423, 3671, 8289, 1783, 3714, 29245, 3555, 8289, 23758, 13672, 7578, 31439, 2423, 8289, 7630, 5296, 1783, 6055, 4587, 41193, 3615], "avg_logprob": -0.24866615199461217, "compression_ratio": 1.6789473684210525, "no_speech_prob": 0.0, "words": [{"start": 1354.39, "end": 1354.87, "word": "برضه", "probability": 0.8065592447916666}, {"start": 1354.87, "end": 1354.97, "word": " فى", "probability": 0.52197265625}, {"start": 1354.97, "end": 1355.31, "word": " الحاله", "probability": 0.826171875}, 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1359.59, "end": 1360.15, "word": " واحد", "probability": 0.701904296875}, {"start": 1360.15, "end": 1360.93, "word": " فى", "probability": 0.97119140625}, {"start": 1360.93, "end": 1361.17, "word": " نقطه", "probability": 0.88671875}, {"start": 1361.17, "end": 1361.75, "word": " مختلفه", "probability": 0.9466552734375}, {"start": 1361.75, "end": 1361.95, "word": " عن", "probability": 0.9892578125}, {"start": 1361.95, "end": 1362.11, "word": " ال", "probability": 0.93505859375}, {"start": 1362.11, "end": 1362.33, "word": " X", "probability": 0.9833984375}, {"start": 1362.33, "end": 1362.71, "word": " نشوف", "probability": 0.8564453125}, {"start": 1362.71, "end": 1362.89, "word": " مع", "probability": 0.990234375}, {"start": 1362.89, "end": 1363.39, "word": " بعض", "probability": 0.944580078125}, {"start": 1363.39, "end": 1364.75, "word": " in", "probability": 0.640625}, {"start": 1364.75, "end": 1365.09, "word": " this", "probability": 0.97314453125}, {"start": 1365.09, "end": 1365.61, "word": " case", "probability": 0.9482421875}, {"start": 1365.61, "end": 1369.73, "word": " in", "probability": 0.4951171875}, {"start": 1369.73, "end": 1370.03, "word": " this", "probability": 0.96826171875}, {"start": 1370.03, "end": 1370.53, "word": " case", "probability": 0.94677734375}, {"start": 1370.53, "end": 1371.47, "word": " ال", "probability": 0.9384765625}, {"start": 1371.47, "end": 1372.13, "word": " X", "probability": 0.951171875}, {"start": 1372.13, "end": 1372.81, "word": " negative", "probability": 0.916015625}, {"start": 1372.81, "end": 1373.31, "word": " او", "probability": 0.7340087890625}, {"start": 1373.31, "end": 1373.67, "word": " ال", "probability": 0.7548828125}, {"start": 1373.67, "end": 1376.39, "word": " negative", "probability": 0.86181640625}, {"start": 1376.39, "end": 1376.97, "word": " delta", "probability": 0.72607421875}, {"start": 1376.97, "end": 1377.31, "word": " X", "probability": 0.90380859375}, {"start": 1377.31, "end": 1377.81, "word": " موجب", "probability": 0.7027994791666666}, {"start": 1377.81, "end": 1378.25, "word": " delta", "probability": 0.53271484375}, {"start": 1378.25, "end": 1379.63, "word": " هذا", "probability": 0.69482421875}, {"start": 1379.63, "end": 1379.77, "word": " اللى", "probability": 0.85888671875}, {"start": 1379.77, "end": 1379.91, "word": " هو", "probability": 0.95556640625}, {"start": 1379.91, "end": 1380.03, "word": " ال", "probability": 0.89013671875}, {"start": 1380.03, "end": 1380.27, "word": " delta", "probability": 0.87109375}, {"start": 1380.27, "end": 1380.83, "word": " neighborhood", "probability": 0.92626953125}, {"start": 1380.83, "end": 1381.05, "word": " ل", "probability": 0.84765625}, {"start": 1381.05, "end": 1381.31, "word": " X", "probability": 0.77392578125}, {"start": 1381.31, "end": 1382.07, "word": " تقاطع", "probability": 0.982666015625}], "temperature": 1.0}, {"id": 51, "seek": 141234, "start": 1383.0, "end": 1412.34, "text": "المجموعة A1 اللي هي الفترة المفتوحة من 0 إلى 1 هيطلع بساوي الفترة المفتوحة من 0 إلى 1 لأن الـ Delta هنا أكبر من أو ساوي الواحد يعني هي عندي S 0 إلى 1 هذه اللي هي المجموعة A وهي X", "tokens": [45340, 7435, 2304, 2407, 27884, 316, 16, 13672, 1829, 39896, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 1958, 30731, 502, 39896, 9566, 1211, 3615, 4724, 3794, 995, 45865, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 1958, 30731, 502, 5296, 33456, 2423, 39184, 18183, 34105, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 2423, 14407, 24401, 37495, 22653, 39896, 18871, 16254, 318, 1958, 30731, 502, 29538, 13672, 1829, 39896, 9673, 7435, 2304, 2407, 27884, 316, 37037, 1829, 1783], "avg_logprob": -0.17354910838462057, "compression_ratio": 1.910828025477707, "no_speech_prob": 0.0, "words": [{"start": 1383.0, "end": 1383.88, "word": "المجموعة", "probability": 0.87314453125}, {"start": 1383.88, "end": 1384.54, "word": " A1", "probability": 0.5059814453125}, {"start": 1384.54, "end": 1384.8, "word": " اللي", 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"probability": 0.98681640625}, {"start": 1393.02, "end": 1393.42, "word": " 0", "probability": 0.9833984375}, {"start": 1393.42, "end": 1393.76, "word": " إلى", "probability": 0.9765625}, {"start": 1393.76, "end": 1394.26, "word": " 1", "probability": 0.986328125}, {"start": 1394.26, "end": 1396.82, "word": " لأن", "probability": 0.8876953125}, {"start": 1396.82, "end": 1397.04, "word": " الـ", "probability": 0.594482421875}, {"start": 1397.04, "end": 1397.28, "word": " Delta", "probability": 0.392578125}, {"start": 1397.28, "end": 1397.58, "word": " هنا", "probability": 0.97119140625}, {"start": 1397.58, "end": 1398.18, "word": " أكبر", "probability": 0.9674479166666666}, {"start": 1398.18, "end": 1398.44, "word": " من", "probability": 0.85986328125}, {"start": 1398.44, "end": 1398.66, "word": " أو", "probability": 0.95751953125}, {"start": 1398.66, "end": 1399.1, "word": " ساوي", "probability": 0.8763020833333334}, {"start": 1399.1, "end": 1399.84, "word": " الواحد", "probability": 0.772705078125}, {"start": 1399.84, "end": 1401.98, "word": " يعني", "probability": 0.87060546875}, {"start": 1401.98, "end": 1402.2, "word": " هي", "probability": 0.332275390625}, {"start": 1402.2, "end": 1402.58, "word": " عندي", "probability": 0.944091796875}, {"start": 1402.58, "end": 1403.0, "word": " S", "probability": 0.63916015625}, {"start": 1403.0, "end": 1404.78, "word": " 0", "probability": 0.6171875}, {"start": 1404.78, "end": 1405.14, "word": " إلى", "probability": 0.990234375}, {"start": 1405.14, "end": 1405.68, "word": " 1", "probability": 0.9912109375}, {"start": 1405.68, "end": 1407.54, "word": " هذه", "probability": 0.615234375}, {"start": 1407.54, "end": 1407.72, "word": " اللي", "probability": 0.97900390625}, {"start": 1407.72, "end": 1407.96, "word": " هي", "probability": 0.96630859375}, {"start": 1407.96, "end": 1408.92, "word": " المجموعة", "probability": 0.96474609375}, {"start": 1408.92, "end": 1410.04, "word": " A", "probability": 0.9638671875}, {"start": 1410.04, "end": 1411.84, "word": " وهي", "probability": 0.772705078125}, {"start": 1411.84, "end": 1412.34, "word": " X", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 52, "seek": 143846, "start": 1414.76, "end": 1438.46, "text": "نقطة ما داخل الفترة فلما يكون x زايد ال delta لما تكون ال delta تبعتي أكبر من واحد فx زايد ال delta هتكون هنا و x سالب ال delta بالتأكيد هتكون هنا وبالتالي ال delta neighborhood ل x هيحتوي", "tokens": [1863, 47432, 3660, 19446, 11778, 47283, 1211, 27188, 2655, 25720, 6156, 1211, 15042, 7251, 30544, 2031, 30767, 995, 25708, 2423, 8289, 5296, 15042, 6055, 30544, 2423, 8289, 6055, 3555, 3615, 31371, 5551, 4117, 26890, 9154, 36764, 24401, 6156, 87, 30767, 995, 25708, 2423, 8289, 8032, 2655, 30544, 34105, 4032, 2031, 8608, 6027, 3555, 2423, 8289, 20666, 2655, 10721, 4117, 25708, 8032, 2655, 30544, 34105, 46599, 6027, 2655, 6027, 1829, 2423, 8289, 7630, 5296, 2031, 8032, 1829, 33753, 45865], "avg_logprob": -0.20569619762746594, "compression_ratio": 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"word": " تكون", "probability": 0.981689453125}, {"start": 1421.92, "end": 1422.06, "word": " ال", "probability": 0.94091796875}, {"start": 1422.06, "end": 1422.3, "word": " delta", "probability": 0.9482421875}, {"start": 1422.3, "end": 1422.88, "word": " تبعتي", "probability": 0.9210205078125}, {"start": 1422.88, "end": 1423.3, "word": " أكبر", "probability": 0.8346354166666666}, {"start": 1423.3, "end": 1423.48, "word": " من", "probability": 0.98828125}, {"start": 1423.48, "end": 1423.92, "word": " واحد", "probability": 0.925048828125}, {"start": 1423.92, "end": 1425.26, "word": " فx", "probability": 0.6966552734375}, {"start": 1425.26, "end": 1425.6, "word": " زايد", "probability": 0.9308268229166666}, {"start": 1425.6, "end": 1425.76, "word": " ال", "probability": 0.72021484375}, {"start": 1425.76, "end": 1425.98, "word": " delta", "probability": 0.94677734375}, {"start": 1425.98, "end": 1426.42, "word": " هتكون", "probability": 0.9498697916666666}, {"start": 1426.42, "end": 1426.7, "word": " هنا", "probability": 0.99365234375}, {"start": 1426.7, "end": 1428.84, "word": " و", "probability": 0.82421875}, {"start": 1428.84, "end": 1429.16, "word": " x", "probability": 0.66943359375}, {"start": 1429.16, "end": 1429.56, "word": " سالب", "probability": 0.95751953125}, {"start": 1429.56, "end": 1429.66, "word": " ال", "probability": 0.62744140625}, {"start": 1429.66, "end": 1429.92, "word": " delta", "probability": 0.974609375}, {"start": 1429.92, "end": 1430.58, "word": " بالتأكيد", "probability": 0.96240234375}, {"start": 1430.58, "end": 1431.14, "word": " هتكون", "probability": 0.978515625}, {"start": 1431.14, "end": 1431.5, "word": " هنا", "probability": 0.99560546875}, {"start": 1431.5, "end": 1434.24, "word": " وبالتالي", "probability": 0.873193359375}, {"start": 1434.24, "end": 1435.6, "word": " ال", "probability": 0.931640625}, {"start": 1435.6, "end": 1435.88, "word": " delta", "probability": 0.96533203125}, {"start": 1435.88, "end": 1436.34, "word": " neighborhood", "probability": 0.153564453125}, {"start": 1436.34, "end": 1436.58, "word": " ل", "probability": 0.89599609375}, {"start": 1436.58, "end": 1436.96, "word": " x", "probability": 0.564453125}, {"start": 1436.96, "end": 1438.46, "word": " هيحتوي", "probability": 0.83514404296875}], "temperature": 1.0}, {"id": 53, "seek": 146046, "start": 1439.72, "end": 1460.46, "text": "المجموعة a واحد وبالتالي تقاطع معاها تطلع المجموعة a واحد وهذا is infinite وبالتالي اذا ال delta neighborhood هذا تقاطع الفترة المفتوحة minus x", "tokens": [6027, 2304, 7435, 2304, 2407, 27884, 257, 36764, 24401, 46599, 6027, 2655, 6027, 1829, 6055, 4587, 41193, 3615, 20449, 995, 11296, 6055, 9566, 1211, 3615, 9673, 7435, 2304, 2407, 27884, 257, 36764, 24401, 37037, 15730, 307, 13785, 46599, 6027, 2655, 6027, 1829, 1975, 15730, 2423, 8289, 7630, 23758, 6055, 4587, 41193, 3615, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 3175, 2031], "avg_logprob": -0.26098632998764515, "compression_ratio": 1.6056338028169015, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1439.72, "end": 1440.54, "word": "المجموعة", "probability": 0.6718241373697916}, {"start": 1440.54, "end": 1440.74, "word": " a", "probability": 0.362548828125}, {"start": 1440.74, "end": 1441.18, "word": " واحد", "probability": 0.62109375}, {"start": 1441.18, "end": 1441.64, "word": " وبالتالي", "probability": 0.888671875}, {"start": 1441.64, "end": 1442.12, "word": " تقاطع", "probability": 0.7838134765625}, {"start": 1442.12, "end": 1442.56, "word": " معاها", "probability": 0.7862955729166666}, {"start": 1442.56, "end": 1443.3, "word": " تطلع", "probability": 0.69091796875}, {"start": 1443.3, "end": 1443.86, "word": " المجموعة", "probability": 0.87763671875}, {"start": 1443.86, "end": 1444.1, "word": " a", "probability": 0.89306640625}, {"start": 1444.1, "end": 1444.64, "word": " واحد", "probability": 0.970703125}, {"start": 1444.64, "end": 1445.56, "word": " وهذا", "probability": 0.902587890625}, {"start": 1445.56, "end": 1446.02, "word": " is", "probability": 0.68896484375}, {"start": 1446.02, "end": 1446.76, "word": " infinite", "probability": 0.92138671875}, {"start": 1446.76, "end": 1451.68, "word": " وبالتالي", "probability": 0.885009765625}, {"start": 1451.68, "end": 1452.48, "word": " اذا", "probability": 0.5606689453125}, {"start": 1452.48, "end": 1452.72, "word": " ال", "probability": 0.9248046875}, {"start": 1452.72, "end": 1453.02, "word": " delta", "probability": 0.64208984375}, {"start": 1453.02, "end": 1453.54, "word": " neighborhood", "probability": 0.6552734375}, {"start": 1453.54, "end": 1454.62, "word": " هذا", "probability": 0.73193359375}, {"start": 1454.62, "end": 1457.6, "word": " تقاطع", "probability": 0.97314453125}, {"start": 1457.6, "end": 1458.06, "word": " الفترة", "probability": 0.9879557291666666}, {"start": 1458.06, "end": 1458.86, "word": " المفتوحة", "probability": 0.9871419270833334}, {"start": 1458.86, "end": 1459.46, "word": " minus", "probability": 0.916015625}, {"start": 1459.46, "end": 1460.46, "word": " x", "probability": 0.70166015625}], "temperature": 1.0}, {"id": 54, "seek": 148647, "start": 1463.65, "end": 1486.47, "text": "لا أكيد بتأكيد لا يساوي five okay تمام اذا في الحالتين ال condition تبع ال cluster point تتحقق therefore by definition x is cluster point is cluster point of", "tokens": [15040, 5551, 4117, 25708, 39894, 10721, 4117, 25708, 20193, 7251, 3794, 995, 45865, 1732, 1392, 46811, 10943, 1975, 15730, 8978, 21542, 6027, 2655, 9957, 2423, 4188, 6055, 3555, 3615, 2423, 13630, 935, 6055, 2655, 5016, 4587, 4587, 4412, 538, 7123, 2031, 307, 13630, 935, 307, 13630, 935, 295], "avg_logprob": -0.19212371962411062, "compression_ratio": 1.4335664335664335, "no_speech_prob": 0.0, "words": [{"start": 1463.65, "end": 1463.99, "word": "لا", "probability": 0.775390625}, {"start": 1463.99, "end": 1464.47, "word": " أكيد", "probability": 0.83544921875}, {"start": 1464.47, "end": 1465.19, "word": " بتأكيد", "probability": 0.817138671875}, {"start": 1465.19, "end": 1465.39, "word": " لا", "probability": 0.818359375}, {"start": 1465.39, "end": 1466.11, "word": " يساوي", "probability": 0.955322265625}, {"start": 1466.11, "end": 1466.59, "word": " five", "probability": 0.305419921875}, {"start": 1466.59, "end": 1467.55, "word": " okay", "probability": 0.384033203125}, {"start": 1467.55, "end": 1468.55, "word": " تمام", "probability": 0.939697265625}, {"start": 1468.55, "end": 1469.45, "word": " اذا", "probability": 0.5943603515625}, {"start": 1469.45, "end": 1469.91, "word": " في", "probability": 0.90966796875}, {"start": 1469.91, "end": 1470.63, "word": " الحالتين", "probability": 0.9822998046875}, {"start": 1470.63, "end": 1471.95, "word": " ال", "probability": 0.92333984375}, {"start": 1471.95, "end": 1472.45, "word": " condition", "probability": 0.98388671875}, {"start": 1472.45, "end": 1472.83, "word": " تبع", "probability": 0.95556640625}, {"start": 1472.83, "end": 1472.95, "word": " ال", "probability": 0.97607421875}, {"start": 1472.95, "end": 1473.31, "word": " cluster", "probability": 0.98388671875}, {"start": 1473.31, "end": 1473.77, "word": " point", "probability": 0.982421875}, {"start": 1473.77, "end": 1474.47, "word": " تتحقق", "probability": 0.91328125}, {"start": 1474.47, "end": 1475.63, "word": " therefore", "probability": 0.728515625}, {"start": 1475.63, "end": 1476.51, "word": " by", "probability": 0.96044921875}, {"start": 1476.51, "end": 1477.47, "word": " definition", "probability": 0.91259765625}, {"start": 1477.47, "end": 1480.17, "word": " x", "probability": 0.5224609375}, {"start": 1480.17, "end": 1480.89, "word": " is", "probability": 0.955078125}, {"start": 1480.89, "end": 1481.47, "word": " cluster", "probability": 0.603515625}, {"start": 1481.47, "end": 1482.21, "word": " point", "probability": 0.98095703125}, {"start": 1482.21, "end": 1484.73, "word": " is", "probability": 0.68896484375}, {"start": 1484.73, "end": 1485.25, "word": " cluster", "probability": 0.76806640625}, {"start": 1485.25, "end": 1485.97, "word": " point", "probability": 0.97509765625}, {"start": 1485.97, "end": 1486.47, "word": " of", "probability": 0.986328125}], "temperature": 1.0}, {"id": 55, "seek": 150988, "start": 1488.14, "end": 1509.88, "text": "الست ا واحد اللي هي الفترة المفتوحة من صفر الى واحد طبعا إذا هذا بثبت ال claim الأولاني طبعا الآن هثبت claim تاني ال claim التاني", "tokens": [6027, 14851, 1975, 36764, 24401, 13672, 1829, 39896, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 20328, 5172, 2288, 2423, 7578, 36764, 24401, 23032, 3555, 3615, 995, 11933, 15730, 23758, 4724, 12984, 3555, 2655, 2423, 3932, 16247, 12610, 7649, 1829, 23032, 3555, 3615, 995, 6024, 48506, 8032, 12984, 3555, 2655, 3932, 6055, 7649, 1829, 2423, 3932, 16712, 7649, 1829], "avg_logprob": -0.2986391124225432, "compression_ratio": 1.6641221374045803, "no_speech_prob": 0.0, "words": [{"start": 1488.14, "end": 1488.9, "word": "الست", "probability": 0.5623779296875}, {"start": 1488.9, "end": 1489.22, "word": " ا", "probability": 0.44091796875}, {"start": 1489.22, "end": 1489.86, "word": " واحد", "probability": 0.7064208984375}, {"start": 1489.86, "end": 1490.04, "word": " اللي", "probability": 0.369384765625}, {"start": 1490.04, "end": 1490.26, "word": " هي", "probability": 0.7119140625}, {"start": 1490.26, "end": 1490.78, "word": " الفترة", "probability": 0.9840494791666666}, {"start": 1490.78, "end": 1491.52, "word": " المفتوحة", "probability": 0.9710286458333334}, {"start": 1491.52, "end": 1491.68, "word": " من", "probability": 0.91845703125}, {"start": 1491.68, "end": 1492.28, "word": " صفر", "probability": 0.7335611979166666}, {"start": 1492.28, "end": 1492.96, "word": " الى", "probability": 0.69580078125}, {"start": 1492.96, "end": 1493.34, "word": " واحد", "probability": 0.9716796875}, {"start": 1493.34, "end": 1494.14, "word": " طبعا", "probability": 0.7601318359375}, {"start": 1494.14, "end": 1495.44, "word": " إذا", "probability": 0.4791259765625}, {"start": 1495.44, "end": 1495.72, "word": " هذا", "probability": 0.65673828125}, {"start": 1495.72, "end": 1496.16, "word": " بثبت", "probability": 0.926513671875}, {"start": 1496.16, "end": 1496.28, "word": " ال", "probability": 0.94580078125}, {"start": 1496.28, "end": 1496.56, "word": " claim", "probability": 0.55322265625}, {"start": 1496.56, "end": 1497.6, "word": " الأولاني", "probability": 0.697784423828125}, {"start": 1497.6, "end": 1498.18, "word": " طبعا", "probability": 0.9359130859375}, {"start": 1498.18, "end": 1499.24, "word": " الآن", "probability": 0.6473388671875}, {"start": 1499.24, "end": 1500.0, "word": " هثبت", "probability": 0.910888671875}, {"start": 1500.0, "end": 1500.78, "word": " claim", "probability": 0.85400390625}, {"start": 1500.78, "end": 1502.12, "word": " تاني", "probability": 0.9248046875}, {"start": 1502.12, "end": 1504.88, "word": " ال", "probability": 0.81494140625}, {"start": 1504.88, "end": 1509.14, "word": " claim", "probability": 0.64453125}, {"start": 1509.14, "end": 1509.88, "word": " التاني", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 56, "seek": 153702, "start": 1516.66, "end": 1537.02, "text": "النقطة 0 is a cluster point of set A1 الفترة مفتوحة من 0 إلى 1 لبرهان ذلك", "tokens": [6027, 1863, 47432, 3660, 1958, 307, 257, 13630, 935, 295, 992, 316, 16, 27188, 2655, 25720, 3714, 5172, 2655, 2407, 5016, 3660, 9154, 1958, 30731, 502, 5296, 26890, 3224, 7649, 29910, 23275], "avg_logprob": -0.3397253787878788, "compression_ratio": 1.0396039603960396, "no_speech_prob": 0.0, "words": [{"start": 1516.66, "end": 1517.9, "word": "النقطة", "probability": 0.758056640625}, {"start": 1517.9, "end": 1518.46, "word": " 0", "probability": 0.11688232421875}, {"start": 1518.46, "end": 1520.46, "word": " is", "probability": 0.197265625}, {"start": 1520.46, "end": 1520.8, "word": " a", "probability": 0.806640625}, {"start": 1520.8, "end": 1521.24, "word": " cluster", "probability": 0.88525390625}, {"start": 1521.24, "end": 1525.18, "word": " point", "probability": 0.97021484375}, {"start": 1525.18, "end": 1525.82, "word": " of", "probability": 0.767578125}, {"start": 1525.82, "end": 1527.1, "word": " set", "probability": 0.75390625}, {"start": 1527.1, "end": 1527.86, "word": " A1", "probability": 0.8251953125}, {"start": 1527.86, "end": 1528.64, "word": " الفترة", "probability": 0.7599283854166666}, {"start": 1528.64, "end": 1529.3, "word": " مفتوحة", "probability": 0.939453125}, {"start": 1529.3, "end": 1529.42, "word": " من", "probability": 0.83447265625}, {"start": 1529.42, "end": 1529.9, "word": " 0", "probability": 0.49658203125}, {"start": 1529.9, "end": 1530.96, "word": " إلى", "probability": 0.8583984375}, {"start": 1530.96, "end": 1531.36, "word": " 1", "probability": 0.95458984375}, {"start": 1531.36, "end": 1536.46, "word": " لبرهان", "probability": 0.7813720703125}, {"start": 1536.46, "end": 1537.02, "word": " ذلك", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 57, "seek": 157614, "start": 1547.44, "end": 1576.14, "text": "to see this let نبدأ let delta أكبر من السفر be given فهنا لأي delta ال delta neighborhood للسفر اللي هو هيطلع", "tokens": [1353, 536, 341, 718, 8717, 44510, 10721, 718, 8289, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 312, 2212, 6156, 3224, 8315, 5296, 10721, 1829, 8289, 2423, 8289, 7630, 24976, 3794, 5172, 2288, 13672, 1829, 31439, 39896, 9566, 1211, 3615], "avg_logprob": -0.2341796848922968, "compression_ratio": 1.2396694214876034, "no_speech_prob": 0.0, "words": [{"start": 1547.44, "end": 1547.68, "word": "to", "probability": 0.1624755859375}, {"start": 1547.68, "end": 1548.02, "word": " see", "probability": 0.859375}, {"start": 1548.02, "end": 1548.62, "word": " this", "probability": 0.9443359375}, {"start": 1548.62, "end": 1550.88, "word": " let", "probability": 0.5478515625}, {"start": 1550.88, "end": 1551.9, "word": " نبدأ", "probability": 0.7897135416666666}, {"start": 1551.9, "end": 1553.7, "word": " let", "probability": 0.7490234375}, {"start": 1553.7, "end": 1554.32, "word": " delta", "probability": 0.7294921875}, {"start": 1554.32, "end": 1554.82, "word": " أكبر", "probability": 0.9191080729166666}, {"start": 1554.82, "end": 1555.02, "word": " من", "probability": 0.99267578125}, {"start": 1555.02, "end": 1555.58, "word": " السفر", "probability": 0.9326171875}, {"start": 1555.58, "end": 1555.86, "word": " be", "probability": 0.880859375}, {"start": 1555.86, "end": 1556.42, "word": " given", "probability": 0.869140625}, {"start": 1556.42, "end": 1563.12, "word": " فهنا", "probability": 0.9021809895833334}, {"start": 1563.12, "end": 1563.78, "word": " لأي", "probability": 0.9309895833333334}, {"start": 1563.78, "end": 1564.32, "word": " delta", "probability": 0.7978515625}, {"start": 1564.32, "end": 1567.12, "word": " ال", "probability": 0.2059326171875}, {"start": 1567.12, "end": 1571.38, "word": " delta", "probability": 0.7978515625}, {"start": 1571.38, "end": 1571.96, "word": " neighborhood", "probability": 0.438720703125}, {"start": 1571.96, "end": 1574.94, "word": " للسفر", "probability": 0.95166015625}, {"start": 1574.94, "end": 1575.26, "word": " اللي", "probability": 0.87744140625}, {"start": 1575.26, "end": 1575.54, "word": " هو", "probability": 0.94482421875}, {"start": 1575.54, "end": 1576.14, "word": " هيطلع", "probability": 0.9376220703125}], "temperature": 1.0}, {"id": 58, "seek": 159515, "start": 1578.57, "end": 1595.15, "text": "سالب دلتا زاد سفر وموجب دلتا زاد سفر فتقاطع هذا مع الفترة المفتوحة من سفر إلى واحد بساوي", "tokens": [3794, 6027, 3555, 11778, 1211, 2655, 995, 30767, 18513, 8608, 5172, 2288, 4032, 2304, 29245, 3555, 11778, 1211, 2655, 995, 30767, 18513, 8608, 5172, 2288, 6156, 2655, 4587, 41193, 3615, 23758, 20449, 27188, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 8608, 5172, 2288, 30731, 36764, 24401, 4724, 3794, 995, 45865], "avg_logprob": -0.14290978098815343, "compression_ratio": 1.5436893203883495, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1578.57, "end": 1579.35, "word": "سالب", "probability": 0.6609700520833334}, {"start": 1579.35, "end": 1579.97, "word": " دلتا", "probability": 0.77044677734375}, {"start": 1579.97, "end": 1581.31, "word": " زاد", "probability": 0.697509765625}, {"start": 1581.31, "end": 1581.81, "word": " سفر", "probability": 0.89208984375}, {"start": 1581.81, "end": 1583.97, "word": " وموجب", "probability": 0.8310546875}, {"start": 1583.97, "end": 1584.45, "word": " دلتا", "probability": 0.9593505859375}, {"start": 1584.45, "end": 1584.81, "word": " زاد", "probability": 0.95947265625}, {"start": 1584.81, "end": 1585.39, "word": " سفر", "probability": 0.9892578125}, {"start": 1585.39, "end": 1587.75, "word": " فتقاطع", "probability": 0.9724609375}, {"start": 1587.75, "end": 1588.23, "word": " هذا", "probability": 0.81982421875}, {"start": 1588.23, "end": 1588.63, "word": " مع", "probability": 0.98291015625}, {"start": 1588.63, "end": 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التالت إذا هنا the proof its proof is similar to claim to", "tokens": [2407, 26890, 3224, 7649, 2423, 3932, 16712, 6027, 2655, 30767, 1829, 4386, 2531, 5296, 26890, 3224, 7649, 2423, 3932, 16712, 6027, 2655, 11933, 15730, 34105, 264, 8177, 1080, 8177, 307, 2531, 281, 3932, 281], "avg_logprob": -0.1648437534059797, "compression_ratio": 1.553191489361702, "no_speech_prob": 0.0, "words": [{"start": 1800.9, "end": 1801.76, "word": "وبرهان", "probability": 0.94287109375}, {"start": 1801.76, "end": 1802.06, "word": " ال", "probability": 0.837890625}, {"start": 1802.06, "end": 1802.3, "word": " claim", "probability": 0.88232421875}, {"start": 1802.3, "end": 1802.86, "word": " التالت", "probability": 0.95703125}, {"start": 1802.86, "end": 1803.36, "word": " زي", "probability": 0.930419921875}, {"start": 1803.36, "end": 1803.38, "word": " ..", "probability": 0.66552734375}, {"start": 1803.38, "end": 1805.1, "word": " similar", "probability": 0.82275390625}, {"start": 1805.1, "end": 1805.98, 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will go through هيمشي بالتمام والكمال", "tokens": [2407, 8032, 4117, 15730, 8717, 36178, 2423, 26890, 3224, 7649, 8717, 3794, 9778, 5296, 3794, 4587, 20449, 16712, 22488, 26895, 9307, 29739, 3794, 1829, 9566, 3660, 16472, 1975, 1829, 36764, 24401, 6024, 48506, 5551, 9381, 3555, 33753, 47525, 1211, 19446, 25961, 2655, 6156, 2655, 25720, 3714, 5172, 2655, 2407, 5016, 3660, 9154, 20328, 5172, 2288, 5296, 14407, 24401, 5551, 9381, 3555, 33753, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 46599, 6027, 2655, 6027, 1829, 8978, 16712, 4587, 41193, 3615, 9307, 21542, 3794, 16758, 9307, 8717, 17082, 1211, 4587, 13672, 1829, 31439, 27188, 2655, 2288, 9307, 293, 21542, 26108, 3660, 9673, 9566, 1211, 37746, 3660, 1392, 46599, 6027, 2655, 6027, 1829, 8717, 36178, 2423, 26890, 3224, 7649, 486, 352, 807, 8032, 32640, 8592, 1829, 20666, 39237, 10943, 16070, 24793, 6027], "avg_logprob": -0.1356971135506263, "compression_ratio": 1.895397489539749, "no_speech_prob": 5.960464477539063e-08, "words": 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"word": " المطلوبة", "probability": 0.98740234375}, {"start": 1931.81, "end": 1932.53, "word": " okay", "probability": 0.72412109375}, {"start": 1932.53, "end": 1933.27, "word": " وبالتالي", "probability": 0.9158203125}, {"start": 1933.27, "end": 1933.59, "word": " نفس", "probability": 0.996337890625}, {"start": 1933.59, "end": 1934.19, "word": " البرهان", "probability": 0.9571533203125}, {"start": 1934.19, "end": 1934.83, "word": " will", "probability": 0.7734375}, {"start": 1934.83, "end": 1935.15, "word": " go", "probability": 0.9765625}, {"start": 1935.15, "end": 1935.57, "word": " through", "probability": 0.91357421875}, {"start": 1935.57, "end": 1936.57, "word": " هيمشي", "probability": 0.8970947265625}, {"start": 1936.57, "end": 1937.13, "word": " بالتمام", "probability": 0.93310546875}, {"start": 1937.13, "end": 1937.63, "word": " والكمال", "probability": 0.736572265625}], "temperature": 1.0}, {"id": 71, "seek": 196431, "start": 1938.41, "end": 1964.31, "text": "Okay تمام؟ إذا هذا البرهان مشابه لبرهان المثال الأول ناخد كمان مثال آخر مثال تالت every every finite", "tokens": [8297, 46811, 10943, 22807, 11933, 15730, 23758, 2423, 26890, 3224, 7649, 37893, 16758, 3224, 5296, 26890, 3224, 7649, 9673, 12984, 6027, 16247, 12610, 8717, 47283, 3215, 9122, 2304, 7649, 50113, 6027, 19753, 34740, 50113, 6027, 6055, 6027, 2655, 633, 633, 19362], "avg_logprob": -0.1517857149952934, "compression_ratio": 1.4298245614035088, "no_speech_prob": 0.0, "words": [{"start": 1938.41, "end": 1938.91, "word": "Okay", "probability": 0.8681640625}, {"start": 1938.91, "end": 1939.71, "word": " تمام؟", "probability": 0.6891276041666666}, {"start": 1939.71, "end": 1939.99, "word": " إذا", "probability": 0.749755859375}, {"start": 1939.99, "end": 1940.77, "word": " هذا", "probability": 0.62060546875}, {"start": 1940.77, "end": 1941.27, "word": " البرهان", "probability": 0.840087890625}, {"start": 1941.27, "end": 1941.87, "word": " مشابه", "probability": 0.982421875}, {"start": 1941.87, "end": 1942.49, "word": " لبرهان", "probability": 0.9652099609375}, {"start": 1942.49, "end": 1943.09, "word": " المثال", "probability": 0.8203125}, {"start": 1943.09, "end": 1944.27, "word": " الأول", "probability": 0.9755859375}, {"start": 1944.27, "end": 1945.43, "word": " ناخد", "probability": 0.9781901041666666}, {"start": 1945.43, "end": 1946.27, "word": " كمان", "probability": 0.95947265625}, {"start": 1946.27, "end": 1946.97, "word": " مثال", "probability": 0.994384765625}, {"start": 1946.97, "end": 1947.75, "word": " آخر", "probability": 0.85009765625}, {"start": 1947.75, "end": 1954.01, "word": " مثال", "probability": 0.98681640625}, {"start": 1954.01, "end": 1954.67, "word": " تالت", "probability": 0.9715169270833334}, {"start": 1954.67, "end": 1957.07, "word": " every", "probability": 0.60400390625}, {"start": 1957.07, "end": 1963.77, "word": " every", "probability": 0.625}, {"start": 1963.77, "end": 1964.31, "word": " finite", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 72, "seek": 199577, "start": 1966.97, "end": 1995.77, "text": "set A contained in R has no cluster points كل finite set مالهاش ولا cluster point", "tokens": [3854, 316, 16212, 294, 497, 575, 572, 13630, 2793, 28242, 19362, 992, 3714, 6027, 3224, 33599, 49429, 13630, 935], "avg_logprob": -0.3740234404802322, "compression_ratio": 1.0823529411764705, "no_speech_prob": 0.0, "words": [{"start": 1966.97, "end": 1967.95, "word": "set", "probability": 0.26904296875}, {"start": 1967.95, "end": 1969.61, "word": " A", "probability": 0.52734375}, {"start": 1969.61, "end": 1970.37, "word": " contained", "probability": 0.239013671875}, {"start": 1970.37, "end": 1970.73, "word": " in", "probability": 0.89892578125}, {"start": 1970.73, "end": 1971.23, "word": " R", "probability": 0.98681640625}, {"start": 1971.23, "end": 1973.37, "word": " has", "probability": 0.5966796875}, {"start": 1973.37, "end": 1979.35, "word": " no", "probability": 0.94775390625}, {"start": 1979.35, "end": 1983.07, "word": " cluster", "probability": 0.93505859375}, {"start": 1983.07, "end": 1989.73, "word": " points", "probability": 0.58056640625}, {"start": 1989.73, "end": 1990.87, "word": " كل", "probability": 0.52392578125}, {"start": 1990.87, "end": 1991.71, "word": " finite", "probability": 0.701171875}, {"start": 1991.71, "end": 1992.37, "word": " set", "probability": 0.96435546875}, {"start": 1992.37, "end": 1993.23, "word": " مالهاش", "probability": 0.73150634765625}, {"start": 1993.23, "end": 1994.29, "word": " ولا", "probability": 0.84716796875}, {"start": 1994.29, "end": 1994.93, "word": " cluster", "probability": 0.95703125}, {"start": 1994.93, "end": 1995.77, "word": " point", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 73, "seek": 202095, "start": 1997.69, "end": 2020.95, "text": "والبرهان سهل proof say دعنا ال set a نسمي عناصرها a1, a2 الى an هدف مش هدف finite set اذا عناصرهم ممكن اعملهم list a1, a2 الى an", "tokens": [2407, 6027, 26890, 3224, 7649, 8608, 3224, 1211, 8177, 584, 11778, 3615, 8315, 2423, 992, 257, 8717, 38251, 1829, 18871, 33546, 2288, 11296, 257, 16, 11, 257, 17, 2423, 7578, 364, 8032, 3215, 5172, 37893, 8032, 3215, 5172, 19362, 992, 1975, 15730, 18871, 33546, 2288, 16095, 3714, 43020, 1975, 25957, 1211, 16095, 1329, 257, 16, 11, 257, 17, 2423, 7578, 364], "avg_logprob": -0.31350805730588976, "compression_ratio": 1.3868613138686132, "no_speech_prob": 0.0, "words": [{"start": 1997.6899999999998, "end": 1998.83, "word": "والبرهان", "probability": 0.747607421875}, {"start": 1998.83, "end": 1999.97, "word": " سهل", "probability": 0.87646484375}, {"start": 1999.97, "end": 2000.65, "word": " proof", "probability": 0.26025390625}, {"start": 2000.65, "end": 2004.95, "word": " say", "probability": 0.7021484375}, {"start": 2004.95, "end": 2005.93, "word": " دعنا", "probability": 0.7333984375}, {"start": 2005.93, "end": 2007.27, "word": " ال", "probability": 0.7724609375}, {"start": 2007.27, "end": 2007.57, "word": " set", "probability": 0.91552734375}, {"start": 2007.57, "end": 2007.99, "word": " a", "probability": 0.441650390625}, {"start": 2007.99, "end": 2008.57, "word": " نسمي", "probability": 0.6505126953125}, {"start": 2008.57, "end": 2009.29, "word": " عناصرها", "probability": 0.9312744140625}, {"start": 2009.29, "end": 2009.99, "word": " a1,", "probability": 0.783447265625}, {"start": 2010.57, "end": 2012.41, "word": " a2", "probability": 0.82958984375}, {"start": 2012.41, "end": 2014.05, "word": " الى", "probability": 0.5859375}, {"start": 2014.05, "end": 2014.43, "word": " an", "probability": 0.51806640625}, {"start": 2014.43, "end": 2014.91, "word": " هدف", "probability": 0.6925455729166666}, {"start": 2014.91, "end": 2015.03, "word": " مش", "probability": 0.85693359375}, {"start": 2015.03, "end": 2015.27, "word": " هدف", "probability": 0.6387532552083334}, {"start": 2015.27, "end": 2015.55, "word": " finite", "probability": 0.92578125}, {"start": 2015.55, "end": 2016.05, "word": " set", "probability": 0.9306640625}, {"start": 2016.05, "end": 2017.15, "word": " اذا", "probability": 0.5828857421875}, {"start": 2017.15, "end": 2017.85, "word": " عناصرهم", "probability": 0.8934326171875}, {"start": 2017.85, "end": 2018.07, "word": " ممكن", "probability": 0.789306640625}, {"start": 2018.07, "end": 2018.63, "word": " اعملهم", "probability": 0.8433837890625}, {"start": 2018.63, "end": 2018.97, "word": " list", "probability": 0.92822265625}, {"start": 2018.97, "end": 2019.47, "word": " a1,", "probability": 0.9404296875}, {"start": 2019.57, "end": 2019.95, "word": " a2", "probability": 0.97509765625}, {"start": 2019.95, "end": 2020.37, "word": " الى", "probability": 0.847412109375}, {"start": 2020.37, "end": 2020.95, "word": " an", "probability": 0.67578125}], "temperature": 1.0}, {"id": 74, "seek": 204437, "start": 2022.21, "end": 2044.37, "text": "و ممكن اعملهم order ارتبهم حسب المؤشر تبعهم يعني a1 اصغر من a2 اصغر من a3 اصغر من اصغر من am ممكن نعمل كلمة من هذا ولا لأ ممكن by the ordering principle", "tokens": [2407, 3714, 43020, 1975, 25957, 1211, 16095, 1668, 1975, 43500, 3555, 16095, 11331, 35457, 9673, 33604, 46309, 6055, 3555, 3615, 16095, 37495, 22653, 257, 16, 1975, 9381, 17082, 2288, 9154, 257, 17, 1975, 9381, 17082, 2288, 9154, 257, 18, 1975, 9381, 17082, 2288, 9154, 1975, 9381, 17082, 2288, 9154, 669, 3714, 43020, 8717, 25957, 1211, 9122, 19528, 3660, 9154, 23758, 49429, 5296, 10721, 3714, 43020, 538, 264, 21739, 8665], "avg_logprob": -0.20558035586561477, "compression_ratio": 1.5695364238410596, "no_speech_prob": 0.0, "words": [{"start": 2022.21, "end": 2022.43, "word": "و", "probability": 0.482421875}, {"start": 2022.43, "end": 2022.87, "word": " ممكن", "probability": 0.823486328125}, {"start": 2022.87, "end": 2023.65, "word": " اعملهم", "probability": 0.852783203125}, {"start": 2023.65, "end": 2024.19, "word": " order", "probability": 0.89453125}, {"start": 2024.19, "end": 2025.25, "word": " ارتبهم", "probability": 0.8848876953125}, {"start": 2025.25, "end": 2026.17, "word": " حسب", "probability": 0.937255859375}, {"start": 2026.17, "end": 2026.83, "word": " المؤشر", "probability": 0.955078125}, {"start": 2026.83, "end": 2027.53, "word": " تبعهم", "probability": 0.80108642578125}, {"start": 2027.53, "end": 2028.81, "word": " يعني", "probability": 0.685302734375}, {"start": 2028.81, "end": 2029.73, "word": " a1", "probability": 0.530029296875}, {"start": 2029.73, "end": 2031.49, "word": " اصغر", "probability": 0.885986328125}, {"start": 2031.49, "end": 2031.71, "word": " من", "probability": 0.990234375}, {"start": 2031.71, "end": 2032.45, "word": " a2", "probability": 0.988037109375}, {"start": 2032.45, "end": 2033.13, "word": " اصغر", "probability": 0.984375}, {"start": 2033.13, "end": 2033.37, "word": " من", "probability": 0.9931640625}, {"start": 2033.37, "end": 2034.33, "word": " a3", "probability": 0.994140625}, {"start": 2034.33, "end": 2035.69, "word": " اصغر", "probability": 0.978515625}, {"start": 2035.69, "end": 2036.03, "word": " من", "probability": 0.9951171875}, {"start": 2036.03, "end": 2036.69, "word": " اصغر", "probability": 0.91552734375}, {"start": 2036.69, "end": 2036.93, "word": " من", "probability": 0.9892578125}, {"start": 2036.93, "end": 2037.45, "word": " am", "probability": 0.317626953125}, {"start": 2037.45, "end": 2038.79, "word": " ممكن", "probability": 0.943115234375}, {"start": 2038.79, "end": 2039.19, "word": " نعمل", "probability": 0.9625651041666666}, {"start": 2039.19, "end": 2039.41, "word": " كلمة", "probability": 0.6325276692708334}, {"start": 2039.41, "end": 2039.53, "word": " من", "probability": 0.30078125}, {"start": 2039.53, "end": 2039.69, "word": " هذا", "probability": 0.705078125}, {"start": 2039.69, "end": 2039.85, "word": " ولا", "probability": 0.419677734375}, {"start": 2039.85, "end": 2040.15, "word": " لأ", "probability": 0.86376953125}, {"start": 2040.15, "end": 2040.71, "word": " ممكن", "probability": 0.831298828125}, {"start": 2040.71, "end": 2042.89, "word": " by", "probability": 0.6552734375}, {"start": 2042.89, "end": 2043.15, "word": " the", "probability": 0.7880859375}, {"start": 2043.15, "end": 2043.57, "word": " ordering", "probability": 0.92822265625}, {"start": 2043.57, "end": 2044.37, "word": " principle", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 75, "seek": 207908, "start": 2051.36, "end": 2079.08, "text": "أو باستخدام ال ordering تبع ال real numbers إذا هي عندي ال 6A تبعتي هي خط العداد وهي A1 وهي A2 وهي A3 مش شرط المسافة بين كل أنصار والتاني تكون متساوية وهكذا إلى", "tokens": [10721, 2407, 4724, 995, 14851, 9778, 3215, 10943, 2423, 21739, 6055, 3555, 3615, 2423, 957, 3547, 11933, 15730, 39896, 18871, 16254, 2423, 1386, 32, 6055, 3555, 3615, 31371, 39896, 16490, 9566, 18863, 3215, 18513, 37037, 1829, 316, 16, 37037, 1829, 316, 17, 37037, 1829, 316, 18, 37893, 13412, 2288, 9566, 9673, 3794, 31845, 3660, 49374, 28242, 14739, 9381, 9640, 16070, 2655, 7649, 1829, 6055, 30544, 44650, 3794, 995, 2407, 10632, 37037, 4117, 15730, 30731], "avg_logprob": -0.22729166626930236, "compression_ratio": 1.4857142857142858, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2051.36, "end": 2051.68, "word": "أو", "probability": 0.704345703125}, {"start": 2051.68, "end": 2052.3, "word": " باستخدام", "probability": 0.97412109375}, {"start": 2052.3, "end": 2052.46, "word": " ال", "probability": 0.66259765625}, {"start": 2052.46, "end": 2052.88, "word": " ordering", "probability": 0.61572265625}, {"start": 2052.88, "end": 2053.36, "word": " تبع", "probability": 0.7110188802083334}, {"start": 2053.36, "end": 2053.46, "word": " ال", "probability": 0.90185546875}, {"start": 2053.46, "end": 2053.64, "word": " real", "probability": 0.76806640625}, {"start": 2053.64, "end": 2054.22, "word": " numbers", "probability": 0.63525390625}, {"start": 2054.22, "end": 2060.78, "word": " إذا", "probability": 0.4100341796875}, {"start": 2060.78, "end": 2061.18, "word": " هي", "probability": 0.3125}, {"start": 2061.18, "end": 2061.58, "word": " عندي", "probability": 0.77734375}, {"start": 2061.58, "end": 2061.86, "word": " ال", "probability": 0.8671875}, {"start": 2061.86, "end": 2062.4, "word": " 6A", "probability": 0.47216796875}, {"start": 2062.4, "end": 2062.92, "word": " تبعتي", "probability": 0.933837890625}, {"start": 2062.92, "end": 2063.02, "word": " هي", "probability": 0.57666015625}, {"start": 2063.02, "end": 2063.38, "word": " خط", "probability": 0.94287109375}, {"start": 2063.38, "end": 2064.12, "word": " العداد", "probability": 0.7542317708333334}, {"start": 2064.12, "end": 2066.02, "word": " وهي", "probability": 0.831787109375}, {"start": 2066.02, "end": 2067.04, "word": " A1", "probability": 0.787109375}, {"start": 2067.04, "end": 2068.42, "word": " وهي", "probability": 0.86474609375}, {"start": 2068.42, "end": 2069.34, "word": " A2", "probability": 0.968017578125}, {"start": 2069.34, "end": 2070.88, "word": " وهي", "probability": 0.91748046875}, {"start": 2070.88, "end": 2071.86, "word": " A3", "probability": 0.989013671875}, {"start": 2071.86, "end": 2073.02, "word": " مش", "probability": 0.67041015625}, {"start": 2073.02, "end": 2073.32, "word": " شرط", "probability": 0.9820963541666666}, {"start": 2073.32, "end": 2073.86, "word": " المسافة", "probability": 0.9857177734375}, {"start": 2073.86, "end": 2074.04, "word": " بين", "probability": 0.94140625}, {"start": 2074.04, "end": 2074.28, "word": " كل", "probability": 0.95654296875}, {"start": 2074.28, "end": 2074.66, "word": " أنصار", "probability": 0.8072916666666666}, {"start": 2074.66, "end": 2075.34, "word": " والتاني", "probability": 0.851318359375}, {"start": 2075.34, "end": 2076.16, "word": " تكون", "probability": 0.880615234375}, {"start": 2076.16, "end": 2077.1, "word": " متساوية", "probability": 0.93798828125}, {"start": 2077.1, "end": 2078.68, "word": " وهكذا", "probability": 0.8267415364583334}, {"start": 2078.68, "end": 2079.08, "word": " إلى", "probability": 0.7998046875}], "temperature": 1.0}, {"id": 76, "seek": 210191, "start": 2080.77, "end": 2101.91, "text": "أخر عنصر AN ف fix X ينتمي إلى R و بد أثبت أن claim X is not a cluster point", "tokens": [10721, 34740, 18871, 9381, 2288, 5252, 6156, 3191, 1783, 7251, 29399, 2304, 1829, 30731, 497, 4032, 47525, 5551, 12984, 3555, 2655, 14739, 3932, 1783, 307, 406, 257, 13630, 935], "avg_logprob": -0.3656249890724818, "compression_ratio": 0.9523809523809523, "no_speech_prob": 0.0, "words": [{"start": 2080.77, "end": 2081.29, "word": "أخر", "probability": 0.580322265625}, {"start": 2081.29, "end": 2081.79, "word": " عنصر", "probability": 0.9596354166666666}, {"start": 2081.79, "end": 2082.35, "word": " AN", "probability": 0.15478515625}, {"start": 2082.35, "end": 2086.23, "word": " ف", "probability": 0.67333984375}, {"start": 2086.23, "end": 2086.89, "word": " fix", "probability": 0.35498046875}, {"start": 2086.89, "end": 2089.91, "word": " X", "probability": 0.5390625}, {"start": 2089.91, "end": 2090.73, "word": " ينتمي", 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"end": 2314.86, "text": "لو قلنا مثلا الأصغر اللي هي هذه فنص الدلتا هذا هي فإذا ال delta هتكون المسافة هذه و بكوّن delta neighborhood حوالين ال X الأن ال delta neighborhood هذا then verify ممكنكم تتحققوا verify that", "tokens": [1211, 2407, 12174, 1211, 8315, 50113, 15040, 16247, 9381, 17082, 2288, 13672, 1829, 39896, 29538, 6156, 1863, 9381, 32748, 1211, 2655, 995, 23758, 39896, 6156, 28814, 15730, 2423, 8289, 8032, 2655, 30544, 9673, 3794, 31845, 3660, 29538, 4032, 4724, 4117, 2407, 11703, 1863, 8289, 7630, 11331, 2407, 6027, 9957, 2423, 1783, 16247, 1863, 2423, 8289, 7630, 23758, 550, 16888, 3714, 43020, 24793, 6055, 2655, 5016, 4587, 4587, 14407, 16888, 300], "avg_logprob": -0.2779489293904372, "compression_ratio": 1.6067415730337078, "no_speech_prob": 0.0, "words": [{"start": 2286.9, "end": 2287.22, "word": "لو", "probability": 0.6331787109375}, {"start": 2287.22, "end": 2287.52, "word": " قلنا", "probability": 0.7760416666666666}, {"start": 2287.52, "end": 2287.94, "word": " 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"probability": 0.9000651041666666}, {"start": 2295.4, "end": 2296.08, "word": " المسافة", "probability": 0.9737548828125}, {"start": 2296.08, "end": 2296.44, "word": " هذه", "probability": 0.77783203125}, {"start": 2296.44, "end": 2297.0, "word": " و", "probability": 0.5537109375}, {"start": 2297.0, "end": 2297.58, "word": " بكوّن", "probability": 0.7638671875}, {"start": 2297.58, "end": 2297.98, "word": " delta", "probability": 0.673828125}, {"start": 2297.98, "end": 2298.66, "word": " neighborhood", "probability": 0.6064453125}, {"start": 2298.66, "end": 2300.54, "word": " حوالين", "probability": 0.95556640625}, {"start": 2300.54, "end": 2300.68, "word": " ال", "probability": 0.90771484375}, {"start": 2300.68, "end": 2301.04, "word": " X", "probability": 0.609375}, {"start": 2301.04, "end": 2302.12, "word": " الأن", "probability": 0.61224365234375}, {"start": 2302.12, "end": 2302.26, "word": " ال", "probability": 0.951171875}, {"start": 2302.26, "end": 2302.56, "word": " delta", "probability": 0.82666015625}, {"start": 2302.56, "end": 2303.1, "word": " neighborhood", "probability": 0.916015625}, {"start": 2303.1, "end": 2303.78, "word": " هذا", "probability": 0.92236328125}, {"start": 2303.78, "end": 2305.98, "word": " then", "probability": 0.73974609375}, {"start": 2305.98, "end": 2309.72, "word": " verify", "probability": 0.86083984375}, {"start": 2309.72, "end": 2310.68, "word": " ممكنكم", "probability": 0.7716471354166666}, {"start": 2310.68, "end": 2311.58, "word": " تتحققوا", "probability": 0.9153645833333334}, {"start": 2311.58, "end": 2311.94, "word": " verify", "probability": 0.81201171875}, {"start": 2311.94, "end": 2314.86, "word": " that", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 84, "seek": 234198, "start": 2317.34, "end": 2341.98, "text": "الـ Delta neighborhood V Delta ل A M اللي هي ال X تقاطع ال set A فاي منزوعة منها A M هيطلع بساوي الفاي مافيش تقاطع بينهم وبالتالي therefore by definition", "tokens": [6027, 39184, 18183, 7630, 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"probability": 0.1370849609375}, {"start": 2321.82, "end": 2322.3, "word": " M", "probability": 0.86865234375}, {"start": 2322.3, "end": 2322.8, "word": " اللي", "probability": 0.7216796875}, {"start": 2322.8, "end": 2323.02, "word": " هي", "probability": 0.92138671875}, {"start": 2323.02, "end": 2323.18, "word": " ال", "probability": 0.68505859375}, {"start": 2323.18, "end": 2323.6, "word": " X", "probability": 0.74853515625}, {"start": 2323.6, "end": 2326.76, "word": " تقاطع", "probability": 0.971435546875}, {"start": 2326.76, "end": 2327.22, "word": " ال", "probability": 0.85693359375}, {"start": 2327.22, "end": 2327.56, "word": " set", "probability": 0.30419921875}, {"start": 2327.56, "end": 2328.14, "word": " A", "probability": 0.9716796875}, {"start": 2328.14, "end": 2329.32, "word": " فاي", "probability": 0.41180419921875}, {"start": 2329.32, "end": 2330.2, "word": " منزوعة", "probability": 0.764892578125}, {"start": 2330.2, "end": 2330.56, "word": " منها", "probability": 0.9931640625}, {"start": 2330.56, "end": 2330.9, "word": " A", "probability": 0.87255859375}, {"start": 2330.9, "end": 2331.38, "word": " M", "probability": 0.98876953125}, {"start": 2331.38, "end": 2333.96, "word": " هيطلع", "probability": 0.9227294921875}, {"start": 2333.96, "end": 2334.72, "word": " بساوي", "probability": 0.8680419921875}, {"start": 2334.72, "end": 2335.28, "word": " الفاي", "probability": 0.7734375}, {"start": 2335.28, "end": 2336.04, "word": " مافيش", "probability": 0.8507486979166666}, {"start": 2336.04, "end": 2336.54, "word": " تقاطع", "probability": 0.8790283203125}, {"start": 2336.54, "end": 2337.5, "word": " بينهم", "probability": 0.8076171875}, {"start": 2337.5, "end": 2339.46, "word": " وبالتالي", "probability": 0.9091796875}, {"start": 2339.46, "end": 2340.1, "word": " therefore", "probability": 0.6015625}, {"start": 2340.1, "end": 2341.26, "word": " by", "probability": 0.93115234375}, {"start": 2341.26, "end": 2341.98, "word": " definition", "probability": 0.92626953125}], "temperature": 1.0}, {"id": 85, "seek": 236014, "start": 2344.48, "end": 2360.14, "text": "ام اكس بساوي ام is not a cluster point of set A لأن عشان تكون", "tokens": [10943, 1975, 4117, 3794, 4724, 3794, 995, 45865, 1975, 2304, 307, 406, 257, 13630, 935, 295, 992, 316, 5296, 33456, 6225, 8592, 7649, 6055, 30544], "avg_logprob": -0.47836538690787095, "compression_ratio": 0.9545454545454546, "no_speech_prob": 0.0, "words": [{"start": 2344.48, "end": 2345.42, "word": "ام", "probability": 0.253173828125}, {"start": 2345.42, "end": 2346.1, "word": " اكس", "probability": 0.5462646484375}, {"start": 2346.1, "end": 2346.86, "word": " بساوي", "probability": 0.70556640625}, {"start": 2346.86, "end": 2348.02, "word": " ام", "probability": 0.38916015625}, {"start": 2348.02, "end": 2348.7, "word": " is", "probability": 0.328125}, {"start": 2348.7, "end": 2349.8, "word": " not", "probability": 0.94873046875}, {"start": 2349.8, "end": 2353.2, "word": " a", "probability": 0.70361328125}, {"start": 2353.2, "end": 2353.66, "word": " cluster", "probability": 0.93359375}, {"start": 2353.66, "end": 2354.46, "word": " point", "probability": 0.9736328125}, {"start": 2354.46, "end": 2355.98, "word": " of", "probability": 0.95361328125}, {"start": 2355.98, "end": 2356.74, "word": " set", "probability": 0.55908203125}, {"start": 2356.74, "end": 2357.16, "word": " A", "probability": 0.76123046875}, {"start": 2357.16, "end": 2359.34, "word": " لأن", "probability": 0.634033203125}, {"start": 2359.34, "end": 2359.68, "word": " عشان", "probability": 0.9381510416666666}, {"start": 2359.68, "end": 2360.14, "word": " تكون", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 86, "seek": 238654, "start": 2361.28, "end": 2386.54, "text": "ما تكونيش cluster point لمجموعة A لازم اثبت انه يوجد there exist delta neighborhood لل X تبعت اللي هي AM بحيث انه ال delta neighborhood هذا مايتقطعش مع ال 6A في اي نقطة مختلفة عن النقطة X وهذا حصل", "tokens": [15042, 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0.87451171875}, {"start": 2364.72, "end": 2365.0, "word": " A", "probability": 0.50390625}, {"start": 2365.0, "end": 2366.48, "word": " لازم", "probability": 0.94287109375}, {"start": 2366.48, "end": 2366.94, "word": " اثبت", "probability": 0.9014892578125}, {"start": 2366.94, "end": 2367.28, "word": " انه", "probability": 0.5638427734375}, {"start": 2367.28, "end": 2367.78, "word": " يوجد", "probability": 0.9788411458333334}, {"start": 2367.78, "end": 2368.04, "word": " there", "probability": 0.38720703125}, {"start": 2368.04, "end": 2368.8, "word": " exist", "probability": 0.580078125}, {"start": 2368.8, "end": 2370.32, "word": " delta", "probability": 0.431640625}, {"start": 2370.32, "end": 2370.94, "word": " neighborhood", "probability": 0.78076171875}, {"start": 2370.94, "end": 2372.24, "word": " لل", "probability": 0.34814453125}, {"start": 2372.24, "end": 2372.7, "word": " X", "probability": 0.77685546875}, {"start": 2372.7, "end": 2373.14, "word": " تبعت", "probability": 0.6027018229166666}, {"start": 2373.14, "end": 2373.36, "word": " اللي", "probability": 0.811767578125}, {"start": 2373.36, "end": 2373.58, "word": " هي", "probability": 0.71337890625}, {"start": 2373.58, "end": 2374.06, "word": " AM", "probability": 0.6689453125}, {"start": 2374.06, "end": 2375.84, "word": " بحيث", "probability": 0.864013671875}, {"start": 2375.84, "end": 2376.48, "word": " انه", "probability": 0.698974609375}, {"start": 2376.48, "end": 2378.38, "word": " ال", "probability": 0.92626953125}, {"start": 2378.38, "end": 2378.84, "word": " delta", "probability": 0.74951171875}, {"start": 2378.84, "end": 2379.36, "word": " neighborhood", "probability": 0.9130859375}, {"start": 2379.36, "end": 2379.88, "word": " هذا", "probability": 0.361328125}, {"start": 2379.88, "end": 2381.04, "word": " مايتقطعش", "probability": 0.9017578125}, {"start": 2381.04, "end": 2381.4, "word": " مع", "probability": 0.9873046875}, {"start": 2381.4, "end": 2381.64, "word": " ال", "probability": 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ال case 2 case 2 ان ال X لا تنتمي ال ال set A ففي الحالة هذه", "tokens": [8297, 46811, 10943, 1975, 15730, 23758, 8978, 11331, 6027, 3660, 5296, 15042, 2423, 1783, 6055, 30544, 3714, 29245, 23328, 3660, 8978, 316, 21542, 6027, 3660, 16712, 7649, 10632, 16472, 2423, 1389, 568, 1389, 568, 16472, 2423, 1783, 20193, 6055, 29399, 2304, 1829, 2423, 2423, 992, 316, 6156, 41185, 21542, 6027, 3660, 29538], "avg_logprob": -0.20120872641509435, "compression_ratio": 1.5681818181818181, "no_speech_prob": 0.0, "words": [{"start": 2388.44, "end": 2388.86, "word": "Okay", "probability": 0.73974609375}, {"start": 2388.86, "end": 2389.4, "word": " تمام", "probability": 0.7646484375}, {"start": 2389.4, "end": 2390.44, "word": " اذا", "probability": 0.5928955078125}, {"start": 2390.44, "end": 2391.78, "word": " هذا", "probability": 0.44580078125}, {"start": 2391.78, "end": 2392.2, "word": " في", "probability": 0.89990234375}, {"start": 2392.2, "end": 2392.72, "word": " حالة", "probability": 0.9921875}, {"start": 2392.72, "end": 2392.96, "word": " لما", "probability": 0.53924560546875}, {"start": 2392.96, "end": 2393.06, "word": " ال", "probability": 0.84326171875}, {"start": 2393.06, "end": 2393.22, "word": " X", "probability": 0.7138671875}, {"start": 2393.22, "end": 2393.78, "word": " تكون", "probability": 0.953857421875}, {"start": 2393.78, "end": 2394.48, "word": " موجودة", "probability": 0.9765625}, {"start": 2394.48, "end": 2394.68, "word": " في", "probability": 0.9033203125}, {"start": 2394.68, "end": 2394.9, "word": " A", "probability": 0.7763671875}, {"start": 2394.9, "end": 2396.14, "word": " الحالة", "probability": 0.91552734375}, {"start": 2396.14, "end": 2396.66, "word": " التانية", "probability": 0.9736328125}, {"start": 2396.66, "end": 2397.76, "word": " ان", "probability": 0.84814453125}, {"start": 2397.76, "end": 2398.12, "word": " ال", "probability": 0.70458984375}, {"start": 2398.12, "end": 2398.46, "word": " case", "probability": 0.861328125}, {"start": 2398.46, 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