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+{"segments": [{"id": 1, "seek": 4100, "start": 19.56, "end": 41.0, "text": "بسم الله الرحمن الرحيم المحاضرة رقم 22 مساق نظرية الأعداد لطلاب الجامعة الإسلامية قسم رياضيات كلية العلوم وكلية التربية وصلنا لعند ال section الثاني من شطر 6", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 5016, 46958, 25720, 12602, 4587, 2304, 5853, 47524, 995, 4587, 8717, 19913, 2288, 10632, 16247, 22488, 18513, 5296, 9566, 15040, 3555, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 9122, 20292, 3660, 18863, 1211, 20498, 4032, 4117, 20292, 3660, 16712, 25513, 10632, 4032, 36520, 8315, 5296, 3615, 41260, 2423, 3541, 6024, 104, 7649, 1829, 9154, 13412, 9566, 2288, 1386], "avg_logprob": -0.13384046523194565, "compression_ratio": 1.6352941176470588, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 19.56, "end": 19.94, "word": "بسم", "probability": 0.837158203125}, {"start": 19.94, "end": 20.12, "word": " الله", 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ومش", "probability": 0.9039713541666666}, {"start": 149.93, "end": 150.77, "word": " هيتكرر", "probability": 0.8968505859375}, {"start": 150.77, "end": 151.53, "word": " لبرايمز", "probability": 0.6300048828125}, {"start": 151.53, "end": 151.75, "word": " لأنه", "probability": 0.6263020833333334}, {"start": 151.75, "end": 151.85, "word": " لو", "probability": 0.96044921875}, {"start": 151.85, "end": 152.33, "word": " تكرر", "probability": 0.9876302083333334}, {"start": 152.33, "end": 152.67, "word": " بيصير", "probability": 0.9180908203125}, {"start": 152.67, "end": 152.89, "word": " فيه", "probability": 0.935791015625}, {"start": 152.89, "end": 153.09, "word": " بي", "probability": 0.737548828125}, {"start": 153.09, "end": 153.49, "word": " تربيع", "probability": 0.8924560546875}, {"start": 153.49, "end": 153.91, "word": " معناته", "probability": 0.9641927083333334}, {"start": 153.91, "end": 154.13, "word": " صار", "probability": 0.9599609375}, {"start": 154.13, "end": 154.25, "word": 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اللي", "probability": 0.8984375}, {"start": 207.05, "end": 207.31, "word": " هو", "probability": 0.98583984375}, {"start": 207.31, "end": 207.85, "word": " مربع", "probability": 0.9894205729166666}, {"start": 207.85, "end": 208.99, "word": " كامل", "probability": 0.9970703125}, {"start": 208.99, "end": 209.55, "word": " واضح", "probability": 0.9694010416666666}, {"start": 209.55, "end": 210.19, "word": " أه؟", "probability": 0.5017903645833334}, {"start": 210.19, "end": 210.33, "word": " إنه", "probability": 0.945068359375}, {"start": 210.33, "end": 210.63, "word": " يقف", "probability": 0.9928385416666666}, {"start": 210.63, "end": 211.25, "word": " خمسة", "probability": 0.971435546875}], "temperature": 1.0}, {"id": 9, "seek": 23826, "start": 212.64, "end": 238.26, "text": "اللي هو سالب واحد ميو في ستة اللي هو الستة ايه اشمالها عبارة عن تلاتة في اتنين واتنين في اتنين هذا و هذا distinct primes ومفيش فيهم اللي هو مين مربع كامل إذا إيش هيساوي ناقص واحد قص هيواحد اتنين عدد الprimes فاهمين 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هو عبارة عن سالب واحد قصة تلاتة ويساوي سالب واحد", "tokens": [6027, 20292, 31439, 18863, 8592, 25720, 16490, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 8608, 6027, 3555, 36764, 24401, 12174, 9381, 3660, 1975, 2655, 1863, 9957, 4032, 1829, 3794, 995, 45865, 36764, 24401, 5296, 28814, 1863, 18863, 8592, 25720, 39894, 3794, 995, 45865, 16490, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 45164, 12174, 12610, 8315, 3714, 1829, 2407, 295, 8608, 3555, 3615, 9957, 1975, 1829, 8592, 4724, 3794, 995, 45865, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 16490, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 8978, 8608, 3555, 27884, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 8608, 6027, 3555, 36764, 24401, 12174, 9381, 3660, 6055, 1211, 9307, 3660, 4032, 1829, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.11724668300964615, "compression_ratio": 2.580246913580247, "no_speech_prob": 1.4901161193847656e-06, 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505.17, "end": 515.21, "text": "بمعنى اخر ان بي تربيع تكسب الام او بي تربيع تكسب مين يعني او بص طبعا ماشي الحال ال case الثالثة", "tokens": [3555, 2304, 3615, 1863, 7578, 1975, 34740, 16472, 4724, 1829, 6055, 2288, 21292, 3615, 6055, 4117, 35457, 2423, 10943, 1975, 2407, 4724, 1829, 6055, 2288, 21292, 3615, 6055, 4117, 35457, 3714, 9957, 37495, 22653, 1975, 2407, 4724, 9381, 23032, 3555, 3615, 995, 3714, 33599, 1829, 21542, 6027, 2423, 1389, 6024, 104, 6027, 12984, 3660], "avg_logprob": -0.28536932685158467, "compression_ratio": 1.6116504854368932, "no_speech_prob": 1.531839370727539e-05, "words": [{"start": 505.17, "end": 505.71, "word": "بمعنى", "probability": 0.9048828125}, {"start": 505.71, "end": 506.19, "word": " اخر", "probability": 0.60302734375}, {"start": 506.19, "end": 506.41, "word": " ان", "probability": 0.62255859375}, {"start": 506.41, "end": 506.71, "word": " بي", "probability": 0.4691162109375}, {"start": 506.71, "end": 507.19, "word": " تربيع", "probability": 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{"start": 513.19, "end": 513.53, "word": " الحال", "probability": 0.97216796875}, {"start": 513.53, "end": 514.01, "word": " ال", "probability": 0.59814453125}, {"start": 514.01, "end": 514.37, "word": " case", "probability": 0.8447265625}, {"start": 514.37, "end": 515.21, "word": " الثالثة", "probability": 0.940234375}], "temperature": 1.0}, {"id": 21, "seek": 53678, "start": 517.4, "end": 536.78, "text": "هذه كل الـ M و الـ N اللي عندى يا تنتين .. يا واحد منهم على الأقل بيساوي واحد يا واحد منهم على الأقل في مربع كامل يا إما التنتين الـ M و الـ N أكبر من واحد and both", "tokens": [3224, 24192, 28242, 2423, 39184, 376, 4032, 2423, 39184, 426, 13672, 1829, 43242, 7578, 35186, 6055, 29399, 9957, 4386, 35186, 36764, 24401, 9154, 16095, 15844, 16247, 4587, 1211, 4724, 1829, 3794, 995, 45865, 36764, 24401, 35186, 36764, 24401, 9154, 16095, 15844, 16247, 4587, 1211, 8978, 3714, 25513, 3615, 9122, 10943, 1211, 35186, 11933, 15042, 16712, 29399, 9957, 2423, 39184, 376, 4032, 2423, 39184, 426, 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طيب نجي للحالة الأولى الحالة الأولى if U M في N", "tokens": [6027, 20292, 31439, 23032, 3555, 3615, 995, 2423, 7649, 25724, 11622, 38207, 6024, 104, 6027, 12984, 1293, 295, 376, 293, 426, 366, 5044, 813, 472, 293, 436, 366, 3732, 295, 1045, 4032, 46958, 5016, 8032, 40294, 22807, 23032, 1829, 3555, 8717, 7435, 1829, 24976, 5016, 6027, 3660, 16247, 12610, 7578, 21542, 6027, 3660, 16247, 12610, 7578, 498, 624, 376, 8978, 426], "avg_logprob": -0.285534274674231, "compression_ratio": 1.4129032258064516, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 558.54, "end": 558.8, "word": "اللي", "probability": 0.5430908203125}, {"start": 558.8, "end": 559.06, "word": " هو", "probability": 0.96533203125}, {"start": 559.06, "end": 559.58, "word": " طبعا", "probability": 0.9046630859375}, {"start": 559.58, "end": 560.38, "word": " الان", "probability": 0.365478515625}, {"start": 560.38, "end": 560.86, "word": " الجزء", "probability": 0.76904296875}, {"start": 560.86, "end": 561.62, 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3555, 16758], "avg_logprob": -0.28339041749092, "compression_ratio": 1.518918918918919, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 768.91, "end": 769.35, "word": "لأن", "probability": 0.84326171875}, {"start": 769.35, "end": 769.53, "word": " لو", "probability": 0.66064453125}, {"start": 769.53, "end": 769.79, "word": " كان", "probability": 0.9765625}, {"start": 769.79, "end": 770.07, "word": " فيه", "probability": 0.5916748046875}, {"start": 770.07, "end": 770.33, "word": " أي", "probability": 0.54150390625}, {"start": 770.33, "end": 770.81, "word": " primes", "probability": 0.4647216796875}, {"start": 770.81, "end": 771.01, "word": " بين", "probability": 0.919921875}, {"start": 771.01, "end": 771.25, "word": " هذه", "probability": 0.76123046875}, {"start": 771.25, "end": 771.33, "word": " و", "probability": 0.70458984375}, {"start": 771.33, "end": 771.47, "word": " هذه", "probability": 0.82421875}, {"start": 771.47, "end": 771.99, "word": " مشتركة", "probability": 0.8458984375}, {"start": 771.99, "end": 772.33, "word": " معناته", "probability": 0.90380859375}, {"start": 772.33, "end": 772.59, "word": " صار", "probability": 0.8583984375}, {"start": 772.59, "end": 772.87, "word": " العامل", "probability": 0.9661458333333334}, {"start": 772.87, "end": 773.27, "word": " المشترك", "probability": 0.9835205078125}, {"start": 773.27, "end": 773.55, "word": " الأعلى", "probability": 0.8138834635416666}, {"start": 773.55, "end": 774.09, "word": " بينهم", "probability": 0.835693359375}, {"start": 774.09, "end": 774.57, "word": " مش", "probability": 0.703125}, {"start": 774.57, "end": 775.07, "word": " واحد", "probability": 0.96826171875}, {"start": 775.07, "end": 776.19, "word": " اذا", "probability": 0.65478515625}, {"start": 776.19, "end": 777.19, "word": " اكيد", "probability": 0.8336588541666666}, {"start": 777.19, "end": 778.39, "word": " then", "probability": 0.40625}, {"start": 778.39, "end": 780.11, "word": " B1", "probability": 0.5870361328125}, {"start": 780.11, "end": 781.11, "word": " B2", "probability": 0.71826171875}, {"start": 781.11, "end": 781.79, "word": " اللي", "probability": 0.7142333984375}, {"start": 781.79, "end": 781.99, "word": " عند", "probability": 0.98046875}, {"start": 781.99, "end": 782.15, "word": " ال", "probability": 0.9150390625}, {"start": 782.15, "end": 782.53, "word": " PR", "probability": 0.2032470703125}, {"start": 782.53, "end": 782.75, "word": " و", "probability": 0.95068359375}, {"start": 782.75, "end": 783.35, "word": " Q1", "probability": 0.836181640625}, {"start": 783.35, "end": 783.57, "word": " اللي", "probability": 0.89697265625}, {"start": 783.57, "end": 783.75, "word": " عند", "probability": 0.97265625}, {"start": 783.75, "end": 784.39, "word": " QS", "probability": 0.75390625}, {"start": 784.39, "end": 785.17, "word": " are", "probability": 0.52001953125}, {"start": 785.17, "end": 788.49, "word": " distinct", "probability": 0.93798828125}, {"start": 788.49, "end": 791.57, "word": " primes", "probability": 0.7020263671875}, {"start": 791.57, "end": 793.11, "word": " معايا", "probability": 0.9581705729166666}, {"start": 793.11, "end": 793.29, "word": " يا", "probability": 0.74951171875}, {"start": 793.29, "end": 793.47, "word": " شباب", "probability": 0.9933268229166666}], "temperature": 1.0}, {"id": 33, "seek": 82083, "start": 795.27, "end": 820.83, "text": "الحسب السهل الآن ميو أن في أن بساوي الوصار ال factorization لها هو هذا في هذا وكل index distinct primes إذا حسب القانون إيش هيطلع عندي ناقص واحد أس R لإن عداد هنا دولة distinct prime إيه شمالين R زائد S ويساوي", "tokens": [6027, 5016, 3794, 3555, 21136, 3224, 1211, 6024, 48506, 3714, 1829, 2407, 14739, 8978, 14739, 4724, 3794, 995, 45865, 2423, 2407, 9381, 9640, 2423, 5952, 2144, 5296, 11296, 31439, 23758, 8978, 23758, 4032, 28820, 8186, 10644, 2886, 279, 11933, 15730, 11331, 35457, 25062, 7649, 11536, 11933, 1829, 8592, 39896, 9566, 1211, 3615, 18871, 16254, 8717, 995, 4587, 9381, 36764, 24401, 5551, 3794, 497, 5296, 28814, 1863, 6225, 3215, 18513, 34105, 11778, 12610, 3660, 10644, 5835, 11933, 1829, 3224, 13412, 2304, 6027, 9957, 497, 30767, 16373, 3215, 318, 4032, 1829, 3794, 995, 45865], "avg_logprob": -0.42741935612053, "compression_ratio": 1.5518867924528301, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 795.2700000000001, "end": 796.19, "word": "الحسب", "probability": 0.466766357421875}, {"start": 796.19, "end": 796.79, "word": " السهل", "probability": 0.8060709635416666}, {"start": 796.79, "end": 797.13, "word": " الآن", "probability": 0.58135986328125}, {"start": 797.13, "end": 799.61, "word": " ميو", "probability": 0.5246988932291666}, {"start": 799.61, "end": 800.15, "word": " أن", "probability": 0.258056640625}, {"start": 800.15, "end": 800.47, "word": " في", "probability": 0.79052734375}, {"start": 800.47, "end": 800.81, "word": " أن", "probability": 0.85107421875}, {"start": 800.81, "end": 801.73, "word": " بساوي", "probability": 0.7406005859375}, {"start": 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"end": 809.09, "word": " إذا", "probability": 0.625}, {"start": 809.09, "end": 809.45, "word": " حسب", "probability": 0.768798828125}, {"start": 809.45, "end": 809.91, "word": " القانون", "probability": 0.9912109375}, {"start": 809.91, "end": 810.09, "word": " إيش", "probability": 0.67822265625}, {"start": 810.09, "end": 810.49, "word": " هيطلع", "probability": 0.896728515625}, {"start": 810.49, "end": 810.77, "word": " عندي", "probability": 0.899658203125}, {"start": 810.77, "end": 811.23, "word": " ناقص", "probability": 0.8759765625}, {"start": 811.23, "end": 811.89, "word": " واحد", "probability": 0.937744140625}, {"start": 811.89, "end": 812.65, "word": " أس", "probability": 0.50732421875}, {"start": 812.65, "end": 813.25, "word": " R", "probability": 0.2822265625}, {"start": 813.25, "end": 814.11, "word": " لإن", "probability": 0.7024739583333334}, {"start": 814.11, "end": 814.45, "word": " عداد", "probability": 0.7649739583333334}, {"start": 814.45, "end": 814.63, "word": " هنا", "probability": 0.5126953125}, {"start": 814.63, "end": 815.05, "word": " دولة", "probability": 0.7430013020833334}, {"start": 815.05, "end": 815.51, "word": " distinct", "probability": 0.49169921875}, {"start": 815.51, "end": 816.05, "word": " prime", "probability": 0.45263671875}, {"start": 816.05, "end": 816.27, "word": " إيه", "probability": 0.78125}, {"start": 816.27, "end": 816.73, "word": " شمالين", "probability": 0.888671875}, {"start": 816.73, "end": 817.17, "word": " R", "probability": 0.669921875}, {"start": 817.17, "end": 818.05, "word": " زائد", "probability": 0.6808268229166666}, {"start": 818.05, "end": 818.45, "word": " S", "probability": 0.74609375}, {"start": 818.45, "end": 820.83, "word": " ويساوي", "probability": 0.89267578125}], "temperature": 1.0}, {"id": 34, "seek": 83006, "start": 821.86, "end": 830.06, "text": "سالب واحد اصار في سالب واحد اص مين اصاز سالب واحد اصار هو في الواقع مين ميول الام", "tokens": [3794, 6027, 3555, 36764, 24401, 1975, 9381, 9640, 8978, 8608, 6027, 3555, 36764, 24401, 1975, 9381, 3714, 9957, 1975, 9381, 31377, 8608, 6027, 3555, 36764, 24401, 1975, 9381, 9640, 31439, 8978, 2423, 14407, 4587, 3615, 3714, 9957, 3714, 1829, 12610, 2423, 10943], "avg_logprob": -0.30069040974905326, "compression_ratio": 1.8125, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 821.86, "end": 822.36, "word": "سالب", "probability": 0.6161702473958334}, {"start": 822.36, "end": 822.72, "word": " واحد", "probability": 0.96337890625}, {"start": 822.72, "end": 823.36, "word": " اصار", "probability": 0.6122233072916666}, {"start": 823.36, "end": 823.92, "word": " في", "probability": 0.67333984375}, {"start": 823.92, "end": 824.28, "word": " سالب", "probability": 0.9532877604166666}, {"start": 824.28, "end": 824.62, "word": " واحد", "probability": 0.994384765625}, {"start": 824.62, "end": 824.86, "word": " اص", "probability": 0.79052734375}, {"start": 824.86, "end": 825.34, "word": " مين", "probability": 0.755126953125}, {"start": 825.34, "end": 826.04, "word": " اصاز", "probability": 0.5613199869791666}, {"start": 826.04, "end": 827.08, "word": " سالب", "probability": 0.8614908854166666}, {"start": 827.08, "end": 827.32, "word": " واحد", "probability": 0.9931640625}, {"start": 827.32, "end": 827.66, "word": " اصار", "probability": 0.97119140625}, {"start": 827.66, "end": 827.82, "word": " هو", "probability": 0.86474609375}, {"start": 827.82, "end": 827.94, "word": " في", "probability": 0.919921875}, {"start": 827.94, "end": 828.3, "word": " الواقع", "probability": 0.9884033203125}, {"start": 828.3, "end": 828.78, "word": " مين", "probability": 0.945556640625}, {"start": 828.78, "end": 829.64, "word": " ميول", "probability": 0.4876302083333333}, {"start": 829.64, "end": 830.06, "word": " الام", "probability": 0.65380859375}], "temperature": 1.0}, {"id": 35, "seek": 85354, "start": 831.24, "end": 853.54, "text": "وهذا في الواقع مين؟ ميو للأن وهو المطلوب therefore في كل الأحوال طلع اني لما great is common divisor بين الام والان بيساوي واحد طلع اندي ميو ام في ان بيساوي ميو ام في ميو ان therefore ميو is a multiplicative function ميو is a multiplicative function أي سؤال", "tokens": [2407, 3224, 15730, 8978, 2423, 14407, 4587, 3615, 3714, 9957, 22807, 3714, 1829, 2407, 5296, 1211, 10721, 1863, 37037, 2407, 9673, 9566, 1211, 37746, 4412, 8978, 28242, 16247, 5016, 2407, 6027, 23032, 1211, 3615, 16472, 1829, 5296, 15042, 869, 307, 2689, 25974, 284, 49374, 2423, 10943, 16070, 7649, 4724, 1829, 3794, 995, 45865, 36764, 24401, 23032, 1211, 3615, 16472, 16254, 3714, 1829, 2407, 1975, 2304, 8978, 16472, 4724, 1829, 3794, 995, 45865, 3714, 1829, 2407, 1975, 2304, 8978, 3714, 1829, 2407, 16472, 4412, 3714, 1829, 2407, 307, 257, 17596, 1166, 2445, 3714, 1829, 2407, 307, 257, 17596, 1166, 2445, 36632, 8608, 33604, 6027], "avg_logprob": -0.2543569751656972, "compression_ratio": 1.8620689655172413, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 831.24, "end": 831.68, "word": "وهذا", "probability": 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0.9005533854166666}, {"start": 841.84, "end": 842.1, "word": " اندي", "probability": 0.642578125}, {"start": 842.1, "end": 842.5, "word": " ميو", "probability": 0.8961588541666666}, {"start": 842.5, "end": 842.84, "word": " ام", "probability": 0.761474609375}, {"start": 842.84, "end": 843.3, "word": " في", "probability": 0.67919921875}, {"start": 843.3, "end": 843.54, "word": " ان", "probability": 0.62939453125}, {"start": 843.54, "end": 843.98, "word": " بيساوي", "probability": 0.98232421875}, {"start": 843.98, "end": 844.28, "word": " ميو", "probability": 0.98828125}, {"start": 844.28, "end": 844.54, "word": " ام", "probability": 0.95654296875}, {"start": 844.54, "end": 844.72, "word": " في", "probability": 0.955078125}, {"start": 844.72, "end": 844.94, "word": " ميو", "probability": 0.9881184895833334}, {"start": 844.94, "end": 845.18, "word": " ان", "probability": 0.7734375}, {"start": 845.18, "end": 846.28, "word": " therefore", "probability": 0.8046875}, {"start": 846.28, "end": 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88664, "start": 862.24, "end": 886.64, "text": "وشوف في صلة النبي عليه الصلاة والسلام المرة الماضية كان في عيننا نظرية أثبتناها بتقول إذا كانت F و M F و F capital اللي هو عبارة عن number theoretic functions وكانت اللي هي ال F", "tokens": [2407, 8592, 38688, 8978, 20328, 37977, 28239, 21292, 47356, 31767, 15040, 3660, 16070, 3794, 37440, 9673, 25720, 9673, 46958, 10632, 25961, 8978, 6225, 9957, 8315, 8717, 19913, 2288, 10632, 5551, 12984, 3555, 2655, 8315, 11296, 39894, 39648, 11933, 15730, 25961, 2655, 479, 4032, 376, 479, 4032, 479, 4238, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 1230, 14308, 299, 6828, 4032, 41361, 2655, 13672, 1829, 39896, 2423, 479], "avg_logprob": -0.2352807901907658, "compression_ratio": 1.521505376344086, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 862.24, "end": 862.6, "word": "وشوف", "probability": 0.6166178385416666}, {"start": 862.6, "end": 862.72, "word": " في", "probability": 0.4482421875}, {"start": 862.72, "end": 862.88, 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"text": "كمان مرة أذكركم فيها نظرية هذه المرة الفاترة اتخذناها النظرية بتقول مالي إذا كانت ال F و ال F كابتال are number theoretic functions و ال F small is multiplicative و ال F كابتال مكتوبة على صورة summation لل F small of D D بتجسم N بتطلع هذه ��ل F الكبيرة أو ال F كابتال أشمالها is multiplicative", "tokens": [4117, 2304, 7649, 3714, 25720, 5551, 8848, 37983, 24793, 8978, 11296, 8717, 19913, 2288, 10632, 29538, 9673, 25720, 27188, 9307, 25720, 1975, 2655, 9778, 8848, 8315, 11296, 28239, 19913, 2288, 10632, 39894, 39648, 3714, 6027, 1829, 11933, 15730, 25961, 2655, 2423, 479, 4032, 2423, 479, 9122, 16758, 2655, 6027, 366, 1230, 14308, 299, 6828, 4032, 2423, 479, 1359, 307, 17596, 1166, 4032, 2423, 479, 9122, 16758, 2655, 6027, 3714, 4117, 2655, 37746, 3660, 15844, 20328, 13063, 3660, 28811, 24976, 479, 1359, 295, 413, 413, 39894, 7435, 38251, 426, 39894, 9566, 1211, 3615, 29538, 2423, 479, 33251, 3555, 48923, 34051, 2423, 479, 9122, 16758, 2655, 6027, 5551, 8592, 2304, 6027, 11296, 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"end": 925.28, "word": " على", "probability": 0.96630859375}, {"start": 925.28, "end": 925.64, "word": " صورة", "probability": 0.9822591145833334}, {"start": 925.64, "end": 926.26, "word": " summation", "probability": 0.15234375}, {"start": 926.26, "end": 926.7, "word": " لل", "probability": 0.7734375}, {"start": 926.7, "end": 926.98, "word": " F", "probability": 0.88134765625}, {"start": 926.98, "end": 927.42, "word": " small", "probability": 0.8515625}, {"start": 927.42, "end": 927.68, "word": " of", "probability": 0.96923828125}, {"start": 927.68, "end": 928.02, "word": " D", "probability": 0.91015625}, {"start": 928.02, "end": 928.7, "word": " D", "probability": 0.290283203125}, {"start": 928.7, "end": 929.14, "word": " بتجسم", "probability": 0.5885416666666666}, {"start": 929.14, "end": 929.4, "word": " N", "probability": 0.7587890625}, {"start": 929.4, "end": 930.2, "word": " بتطلع", "probability": 0.923828125}, {"start": 930.2, "end": 930.58, "word": " هذه", "probability": 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multiplicate .. آسف ال F capital multiplicative هتطلع ال F small برضه يشمالها is multiplicative مش الحال لأن هذه النظرية اللي هي اللي بحكي عنها اللي هنصلها الجسر اللي هو الوصول إليها هي عبارة عن ال mobius function اللي هي الميو", "tokens": [2407, 46958, 5016, 32239, 8592, 13672, 1829, 4724, 5016, 4117, 1829, 3224, 23032, 3555, 3615, 995, 8032, 1863, 36520, 5296, 39184, 479, 19753, 34740, 9673, 5016, 46958, 25720, 16472, 3224, 45164, 25961, 2655, 13672, 1829, 39896, 2423, 479, 1359, 17596, 473, 4386, 19753, 3794, 5172, 2423, 479, 4238, 17596, 1166, 8032, 2655, 9566, 1211, 3615, 2423, 479, 1359, 4724, 43042, 3224, 7251, 8592, 2304, 6027, 11296, 307, 17596, 1166, 37893, 21542, 6027, 5296, 33456, 29538, 28239, 19913, 2288, 10632, 13672, 1829, 39896, 13672, 1829, 4724, 5016, 4117, 1829, 18871, 11296, 13672, 1829, 8032, 1863, 36520, 11296, 25724, 3794, 2288, 13672, 1829, 31439, 2423, 2407, 9381, 12610, 11933, 20292, 11296, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 4298, 4872, 2445, 13672, 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theorem", "probability": 0.9013671875}, {"start": 1123.19, "end": 1123.43, "word": " أن", "probability": 0.84326171875}, {"start": 1123.43, "end": 1124.11, "word": " بتساوي", "probability": 0.879150390625}, {"start": 1124.11, "end": 1124.83, "word": " بي", "probability": 0.72998046875}, {"start": 1124.83, "end": 1125.21, "word": " واحد", "probability": 0.983642578125}, {"start": 1125.21, "end": 1125.53, "word": " ألف", "probability": 0.80908203125}, {"start": 1125.53, "end": 1126.09, "word": " واحد", "probability": 0.8515625}, {"start": 1126.09, "end": 1126.61, "word": " لعند", "probability": 0.8302408854166666}, {"start": 1126.61, "end": 1126.95, "word": " بي", "probability": 0.73779296875}, {"start": 1126.95, "end": 1127.37, "word": " ار", "probability": 0.6912841796875}, {"start": 1127.37, "end": 1128.67, "word": " اشمالها", "probability": 0.6361328125}, {"start": 1128.67, "end": 1129.53, "word": " الف", "probability": 0.314697265625}, {"start": 1129.53, "end": 1129.83, "word": " 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1.7881393432617188e-07, "words": [{"start": 1136.5, "end": 1136.92, "word": "then", "probability": 0.138671875}, {"start": 1136.92, "end": 1137.84, "word": " بدي", "probability": 0.33203125}, {"start": 1137.84, "end": 1138.1, "word": " احسب", "probability": 0.8538411458333334}, {"start": 1138.1, "end": 1138.42, "word": " الان", "probability": 0.694091796875}, {"start": 1138.42, "end": 1138.68, "word": " مين", "probability": 0.802978515625}, {"start": 1138.68, "end": 1139.1, "word": " انا", "probability": 0.894287109375}, {"start": 1139.1, "end": 1139.66, "word": " اللي", "probability": 0.477294921875}, {"start": 1139.66, "end": 1139.86, "word": " هي", "probability": 0.560546875}, {"start": 1139.86, "end": 1140.24, "word": " F", "probability": 0.42919921875}, {"start": 1140.24, "end": 1141.08, "word": " of", "probability": 0.73193359375}, {"start": 1141.08, "end": 1141.32, "word": " N", "probability": 0.4599609375}, {"start": 1141.32, "end": 1141.6, "word": " F", "probability": 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multiplicative إذا ال summation هيطلع أشماله multiplicative بالنظرية اللي فوق إذا صارت عندي ال F هذه أشماله is a multiplicative function مدام F is a multiplicative function إذا بتسوي F", "tokens": [6027, 1863, 19913, 2288, 10632, 29538, 13672, 1829, 6156, 30543, 39894, 39648, 45164, 25961, 13672, 1829, 10874, 14407, 17596, 1166, 39896, 30544, 2423, 28811, 5551, 8592, 2304, 6027, 3224, 17596, 1166, 23032, 3555, 19446, 1975, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 12174, 36150, 4724, 8592, 2407, 10632, 14739, 8032, 18513, 2423, 39184, 2992, 5551, 8592, 2304, 6027, 3224, 17596, 1166, 11933, 15730, 2423, 28811, 39896, 9566, 1211, 3615, 5551, 8592, 2304, 6027, 3224, 17596, 1166, 20666, 1863, 19913, 2288, 10632, 13672, 1829, 6156, 30543, 11933, 15730, 20328, 9640, 2655, 43242, 1829, 2423, 479, 29538, 5551, 8592, 2304, 6027, 3224, 307, 257, 17596, 1166, 2445, 3714, 3215, 10943, 479, 307, 257, 17596, 1166, 2445, 11933, 15730, 39894, 3794, 45865, 479], "avg_logprob": -0.2138429781622138, 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1168.48, "word": " اللي", "probability": 0.955810546875}, {"start": 1168.48, "end": 1168.98, "word": " فوق", "probability": 0.991455078125}, {"start": 1168.98, "end": 1169.52, "word": " إذا", "probability": 0.889892578125}, {"start": 1169.52, "end": 1169.9, "word": " صارت", "probability": 0.9454752604166666}, {"start": 1169.9, "end": 1170.22, "word": " عندي", "probability": 0.48291015625}, {"start": 1170.22, "end": 1170.3, "word": " ال", "probability": 0.68359375}, {"start": 1170.3, "end": 1170.42, "word": " F", "probability": 0.495361328125}, {"start": 1170.42, "end": 1170.66, "word": " هذه", "probability": 0.6416015625}, {"start": 1170.66, "end": 1171.48, "word": " أشماله", "probability": 0.89921875}, {"start": 1171.48, "end": 1172.04, "word": " is", "probability": 0.81884765625}, {"start": 1172.04, "end": 1172.24, "word": " a", "probability": 0.982421875}, {"start": 1172.24, "end": 1173.0, "word": " multiplicative", "probability": 0.963134765625}, {"start": 1173.0, "end": 1173.62, 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divisor بين item 2 بساوية واحد فعلا الان بل علي اوجد هذه شوف كيف بده اوجدها الان F", "tokens": [2670, 363, 16, 5691, 16, 5296, 3615, 41260, 479, 295, 1603, 5691, 49, 5296, 28814, 1829, 8592, 5296, 33456, 2423, 39184, 363, 16, 4032, 33, 17, 13672, 1829, 43242, 2423, 39184, 1603, 366, 10644, 582, 1532, 20449, 8315, 47395, 2423, 39184, 6636, 2689, 25974, 284, 49374, 3174, 568, 4724, 3794, 995, 2407, 10632, 36764, 24401, 6156, 3615, 15040, 2423, 7649, 4724, 1211, 25894, 1975, 29245, 3215, 29538, 13412, 38688, 9122, 33911, 47525, 3224, 1975, 29245, 3215, 11296, 2423, 7649, 479], "avg_logprob": -0.3449074132942859, "compression_ratio": 1.4111675126903553, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 1179.09, "end": 1179.37, "word": "of", "probability": 0.451904296875}, {"start": 1179.37, "end": 1180.07, "word": " B1", "probability": 0.6368408203125}, {"start": 1180.07, "end": 1180.95, "word": " α1", "probability": 0.56689453125}, {"start": 1180.95, "end": 1181.51, "word": " 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"seek": 242061, "start": 2396.25, "end": 2420.61, "text": "multiplicative إذا كانت F F small multiplicative F capital multiplicative F capital multiplicative F small إيه شمالها multiplicative مظبوط يا محمد معانها خير نستخدم هذا عشان نخليها", "tokens": [76, 723, 72, 4770, 1166, 11933, 15730, 25961, 2655, 479, 479, 1359, 17596, 1166, 479, 4238, 17596, 1166, 479, 4238, 17596, 1166, 479, 1359, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 17596, 1166, 3714, 19913, 3555, 2407, 9566, 35186, 3714, 35571, 3215, 20449, 7649, 11296, 16490, 13546, 8717, 14851, 9778, 40448, 23758, 6225, 8592, 7649, 8717, 9778, 20292, 11296], "avg_logprob": -0.4208333199222883, "compression_ratio": 1.6549295774647887, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 2396.25, "end": 2397.05, "word": "multiplicative", "probability": 0.823583984375}, {"start": 2397.05, "end": 2399.39, "word": " إذا", "probability": 0.508056640625}, {"start": 2399.39, "end": 2399.81, "word": " كانت", "probability": 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" small", "probability": 0.85986328125}, {"start": 2406.77, "end": 2406.95, "word": " إيه", "probability": 0.6936848958333334}, {"start": 2406.95, "end": 2407.39, "word": " شمالها", "probability": 0.78887939453125}, {"start": 2407.39, "end": 2408.13, "word": " multiplicative", "probability": 0.601318359375}, {"start": 2408.13, "end": 2409.01, "word": " مظبوط", "probability": 0.8357421875}, {"start": 2409.01, "end": 2409.11, "word": " يا", "probability": 0.460693359375}, {"start": 2409.11, "end": 2409.45, "word": " محمد", "probability": 0.8546549479166666}, {"start": 2409.45, "end": 2410.29, "word": " معانها", "probability": 0.72900390625}, {"start": 2410.29, "end": 2413.39, "word": " خير", "probability": 0.36859130859375}, {"start": 2413.39, "end": 2418.61, "word": " نستخدم", "probability": 0.8487548828125}, {"start": 2418.61, "end": 2418.93, "word": " هذا", "probability": 0.3662109375}, {"start": 2418.93, "end": 2419.39, "word": " عشان", "probability": 0.8369140625}, {"start": 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