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+{"segments": [{"id": 1, "seek": 2410, "start": 5.3, "end": 24.1, "text": "بسم الله الرحمن الرحيم الحمد لله رب العالمين والصلاة والسلام على سيدنا محمد وعلى آله وصحبه أجمعين هذه المحاضرة العاشرة مساق تحليل اقتراني أو تحليل دالي طلاب وطالبات الجامعة الإسلامية قسم رياضيات طلاب وطالبات الماجستير", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21542, 2304, 3215, 24976, 3224, 12602, 3555, 18863, 45340, 9957, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 8608, 25708, 8315, 3714, 35571, 3215, 4032, 3615, 23942, 19753, 43761, 4032, 9381, 5016, 3555, 3224, 5551, 7435, 2304, 3615, 9957, 29538, 9673, 5016, 46958, 25720, 18863, 33599, 25720, 47524, 995, 4587, 6055, 5016, 20292, 1211, 1975, 38149, 2288, 7649, 1829, 34051, 6055, 5016, 20292, 1211, 11778, 6027, 1829, 23032, 15040, 3555, 4032, 9566, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 23032, 15040, 3555, 4032, 9566, 6027, 3555, 9307, 9673, 26108, 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" والـ", "probability": 0.25146484375}, {"start": 164.71, "end": 165.25, "word": " Scalars", "probability": 0.916015625}, {"start": 165.25, "end": 165.47, "word": " بس", "probability": 0.6949462890625}, {"start": 165.47, "end": 166.01, "word": " بتحط", "probability": 0.5924479166666666}, {"start": 166.01, "end": 166.41, "word": " عليهم", "probability": 0.86181640625}, {"start": 166.41, "end": 166.77, "word": " شرط", "probability": 0.9674479166666666}, {"start": 166.77, "end": 167.33, "word": " نصممش", "probability": 0.4421630859375}, {"start": 167.33, "end": 167.47, "word": " ان", "probability": 0.1771240234375}, {"start": 167.47, "end": 167.59, "word": " هنا", "probability": 0.1700439453125}, {"start": 167.59, "end": 167.79, "word": " ايش", "probability": 0.5551350911458334}, {"start": 167.79, "end": 168.51, "word": " بيساوي،", "probability": 0.7380167643229166}, {"start": 168.51, "end": 169.21, "word": " بيساوي", "probability": 0.9279296875}, {"start": 169.21, "end": 169.47, "word": " واحد،", "probability": 0.71630859375}, {"start": 169.47, "end": 169.69, "word": " بعد", "probability": 0.94140625}, {"start": 169.69, "end": 170.13, "word": " شوية", "probability": 0.85009765625}, {"start": 170.13, "end": 170.31, "word": " هذه", "probability": 0.50439453125}, {"start": 170.31, "end": 170.79, "word": " حاجلتها", "probability": 0.727587890625}, {"start": 170.79, "end": 171.11, "word": " هتصير", "probability": 0.7857666015625}, {"start": 171.11, "end": 171.51, "word": " سهلة", "probability": 0.9661458333333334}], "temperature": 1.0}, {"id": 9, "seek": 19160, "start": 172.02, "end": 191.6, "text": "الان نحن لدينا نورم بي واحد اكس واحد بي اتنين اكس اتنين زائد بي انكسا ناكوراساوسي فيه C إذا هذه الآن اللي بدأ أثبتها ماشي الحال خلينا نثبت هذه ومن ثم ببعدها اللي هو نثبت in general اللي طالبه في ال M اطلع على فوق البرهان قايم على انه نفترض العكس", "tokens": [6027, 7649, 8717, 5016, 1863, 5296, 16254, 8315, 8717, 13063, 2304, 4724, 1829, 36764, 24401, 1975, 4117, 3794, 36764, 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"probability": 0.9810791015625}, {"start": 186.4, "end": 186.68, "word": " في", "probability": 0.90478515625}, {"start": 186.68, "end": 187.06, "word": " ال", "probability": 0.456298828125}, {"start": 187.06, "end": 187.3, "word": " M", "probability": 0.35107421875}, {"start": 187.3, "end": 188.14, "word": " اطلع", "probability": 0.91552734375}, {"start": 188.14, "end": 188.28, "word": " على", "probability": 0.88525390625}, {"start": 188.28, "end": 188.56, "word": " فوق", "probability": 0.98291015625}, {"start": 188.56, "end": 189.82, "word": " البرهان", "probability": 0.744903564453125}, {"start": 189.82, "end": 190.1, "word": " قايم", "probability": 0.8611653645833334}, {"start": 190.1, "end": 190.28, "word": " على", "probability": 0.75}, {"start": 190.28, "end": 190.52, "word": " انه", "probability": 0.6519775390625}, {"start": 190.52, "end": 190.96, "word": " نفترض", "probability": 0.9869384765625}, {"start": 190.96, "end": 191.6, "word": " العكس", "probability": 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{"start": 203.66, "end": 204.2, "word": " الو", "probability": 0.4393310546875}, {"start": 204.2, "end": 204.58, "word": " there", "probability": 0.84375}, {"start": 204.58, "end": 205.24, "word": " exists", "probability": 0.634765625}, {"start": 205.24, "end": 206.34, "word": " such", "probability": 0.78369140625}, {"start": 206.34, "end": 206.68, "word": " that", "probability": 0.9345703125}, {"start": 206.68, "end": 206.94, "word": " for", "probability": 0.80029296875}, {"start": 206.94, "end": 207.22, "word": " any", "probability": 0.91015625}, {"start": 207.22, "end": 207.86, "word": " choice", "probability": 0.9638671875}, {"start": 207.86, "end": 208.46, "word": " of", "probability": 0.93798828125}, {"start": 208.46, "end": 208.78, "word": " beta", "probability": 0.39111328125}, {"start": 208.78, "end": 209.08, "word": " 1", "probability": 0.5625}, {"start": 209.08, "end": 209.44, "word": " عند", "probability": 0.90380859375}, {"start": 209.44, "end": 209.72, "word": " beta", "probability": 0.7509765625}, {"start": 209.72, "end": 209.94, "word": " n", "probability": 0.55615234375}, {"start": 209.94, "end": 210.12, "word": " و", "probability": 0.69189453125}, {"start": 210.12, "end": 210.9, "word": " الاخره", "probability": 0.78363037109375}], "temperature": 1.0}, {"id": 11, "seek": 22620, "start": 211.34, "end": 226.2, "text": "إذا نفيها أكيد إيش باله بدل اللي هو there exist بده يصير عنده الان for all then assume that الان one does not hold يعني بده أنفل اللي هو المطلوب", "tokens": [28814, 15730, 8717, 41185, 11296, 5551, 4117, 25708, 11933, 1829, 8592, 20666, 3224, 47525, 1211, 13672, 1829, 31439, 456, 2514, 47525, 3224, 7251, 9381, 13546, 43242, 3224, 2423, 7649, 337, 439, 550, 6552, 300, 2423, 7649, 472, 775, 406, 1797, 37495, 22653, 47525, 3224, 14739, 5172, 1211, 13672, 1829, 31439, 9673, 9566, 1211, 37746], "avg_logprob": -0.27201704653826625, "compression_ratio": 1.4333333333333333, "no_speech_prob": 0.0, "words": [{"start": 211.34, "end": 211.64, "word": "إذا", "probability": 0.6025390625}, {"start": 211.64, "end": 212.3, "word": " نفيها", "probability": 0.87109375}, {"start": 212.3, "end": 212.64, "word": " أكيد", "probability": 0.8614908854166666}, {"start": 212.64, "end": 212.86, "word": " إيش", "probability": 0.72998046875}, {"start": 212.86, "end": 213.36, "word": " باله", "probability": 0.8251953125}, {"start": 213.36, "end": 213.98, "word": " بدل", "probability": 0.850830078125}, {"start": 213.98, "end": 214.1, "word": " اللي", "probability": 0.95556640625}, {"start": 214.1, "end": 214.24, "word": " هو", "probability": 0.7666015625}, {"start": 214.24, "end": 214.42, "word": " there", "probability": 0.73828125}, {"start": 214.42, "end": 214.96, "word": " exist", "probability": 0.515625}, {"start": 214.96, "end": 215.38, "word": " بده", "probability": 0.5135498046875}, {"start": 215.38, "end": 215.6, "word": " يصير", "probability": 0.7447916666666666}, {"start": 215.6, "end": 216.04, "word": " عنده", "probability": 0.68310546875}, {"start": 216.04, "end": 216.36, "word": " الان", "probability": 0.659423828125}, {"start": 216.36, "end": 216.98, "word": " for", "probability": 0.92236328125}, {"start": 216.98, "end": 217.9, "word": " all", "probability": 0.9501953125}, {"start": 217.9, "end": 218.64, "word": " then", "probability": 0.6181640625}, {"start": 218.64, "end": 219.72, "word": " assume", "probability": 0.8720703125}, {"start": 219.72, "end": 220.1, "word": " that", "probability": 0.9013671875}, {"start": 220.1, "end": 220.56, "word": " الان", "probability": 0.843994140625}, {"start": 220.56, "end": 220.84, "word": " one", "probability": 0.873046875}, {"start": 220.84, "end": 221.14, "word": " does", "probability": 0.8759765625}, {"start": 221.14, "end": 221.42, "word": " not", "probability": 0.9638671875}, {"start": 221.42, "end": 221.74, "word": " hold", "probability": 0.8935546875}, {"start": 221.74, "end": 222.06, "word": " يعني", "probability": 0.8896484375}, {"start": 222.06, "end": 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"end": 295.9, "word": " اللي", "probability": 0.989013671875}, {"start": 295.9, "end": 296.3, "word": " هو", "probability": 0.99169921875}, {"start": 296.3, "end": 297.2, "word": " متحقق", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 15, "seek": 32626, "start": 298.28, "end": 326.26, "text": "هذا فرضته انا الان طيب يا جماعة الان بمعنى اخر ل M بتساوي واحد انتبهوا for all M قولنا اذا ل M بتساوي واحد for واحد there exist معايا sequence اسمها اللي هي بي واحد واحد بيتا واحد واحد بيتا اتنين واحد", "tokens": [3224, 15730, 6156, 43042, 47395, 1975, 8315, 2423, 7649, 23032, 1829, 3555, 35186, 10874, 15042, 27884, 2423, 7649, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 5296, 376, 39894, 3794, 995, 45865, 36764, 24401, 16472, 2655, 3555, 3224, 14407, 337, 439, 376, 12174, 12610, 8315, 1975, 15730, 5296, 376, 39894, 3794, 995, 45865, 36764, 24401, 337, 36764, 24401, 456, 2514, 20449, 995, 25528, 8310, 24525, 2304, 11296, 13672, 1829, 39896, 4724, 1829, 36764, 24401, 36764, 24401, 4724, 36081, 995, 36764, 24401, 36764, 24401, 4724, 36081, 995, 1975, 2655, 1863, 9957, 36764, 24401], "avg_logprob": -0.1908967388064965, "compression_ratio": 1.8277777777777777, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 298.28, "end": 298.62, "word": "هذا", "probability": 0.833984375}, {"start": 298.62, "end": 299.08, "word": " فرضته", "probability": 0.7355143229166666}, {"start": 299.08, "end": 299.42, "word": " انا", "probability": 0.690673828125}, {"start": 299.42, "end": 300.14, "word": " الان", "probability": 0.708251953125}, {"start": 300.14, "end": 300.98, "word": " طيب", "probability": 0.91455078125}, {"start": 300.98, "end": 301.1, "word": " يا", "probability": 0.98876953125}, {"start": 301.1, "end": 301.5, "word": " جماعة", "probability": 0.9869791666666666}, {"start": 301.5, "end": 304.68, "word": " الان", "probability": 0.86181640625}, {"start": 304.68, "end": 305.78, "word": " بمعنى", "probability": 0.98310546875}, {"start": 305.78, "end": 306.26, "word": " اخر", "probability": 0.918701171875}, {"start": 306.26, "end": 306.96, "word": " ل", "probability": 0.95654296875}, {"start": 306.96, "end": 307.28, "word": " M", "probability": 0.3798828125}, {"start": 307.28, "end": 307.84, "word": " بتساوي", "probability": 0.7921142578125}, {"start": 307.84, "end": 308.46, "word": " واحد", "probability": 0.776123046875}, {"start": 308.46, "end": 309.66, "word": " انتبهوا", "probability": 0.81328125}, {"start": 309.66, "end": 310.18, "word": " for", "probability": 0.7197265625}, {"start": 310.18, "end": 310.4, "word": " all", "probability": 0.90625}, {"start": 310.4, "end": 310.6, "word": " M", "probability": 0.90087890625}, {"start": 310.6, "end": 311.02, "word": " قولنا", "probability": 0.724853515625}, {"start": 311.02, "end": 311.44, "word": " اذا", "probability": 0.748291015625}, {"start": 311.44, "end": 311.58, "word": " ل", "probability": 0.98486328125}, {"start": 311.58, "end": 311.72, "word": " M", "probability": 0.9580078125}, {"start": 311.72, "end": 312.18, "word": " بتساوي", "probability": 0.958740234375}, {"start": 312.18, "end": 312.48, "word": " واحد", "probability": 0.989013671875}, {"start": 312.48, "end": 312.86, "word": " for", "probability": 0.833984375}, {"start": 312.86, "end": 313.52, "word": " واحد", "probability": 0.989501953125}, {"start": 313.52, "end": 314.32, "word": " there", "probability": 0.580078125}, {"start": 314.32, "end": 315.04, "word": " exist", "probability": 0.81640625}, {"start": 315.04, "end": 315.78, "word": " معايا", "probability": 0.96240234375}, {"start": 315.78, "end": 316.76, "word": " sequence", "probability": 0.873046875}, {"start": 316.76, "end": 318.1, "word": " اسمها", "probability": 0.9728190104166666}, {"start": 318.1, "end": 318.54, "word": " اللي", "probability": 0.604248046875}, {"start": 318.54, "end": 318.86, "word": " هي", "probability": 0.72705078125}, {"start": 318.86, "end": 319.86, "word": " بي", "probability": 0.59619140625}, {"start": 319.86, "end": 320.96, "word": " واحد", "probability": 0.9775390625}, {"start": 320.96, "end": 322.32, "word": " واحد", "probability": 0.9326171875}, {"start": 322.32, "end": 322.68, "word": " بيتا", "probability": 0.5511881510416666}, {"start": 322.68, "end": 322.92, "word": " واحد", "probability": 0.976318359375}, {"start": 322.92, "end": 323.28, "word": " واحد", "probability": 0.960693359375}, {"start": 323.28, "end": 324.86, "word": " بيتا", "probability": 0.83349609375}, {"start": 324.86, "end": 325.6, "word": " اتنين", "probability": 0.9691162109375}, {"start": 325.6, "end": 326.26, "word": " واحد", "probability": 0.985107421875}], "temperature": 1.0}, {"id": 16, "seek": 35363, "start": 326.83, "end": 353.63, "text": "بيتا ان واحد عددين ان صح ومجموع ال absolute values له دول ايش بيساوي واحد for n طبعا ايش بتحقق ال norm ل beta واحد x واحد زائد beta n واحد xn ايش ماله اصغر من واحد على واحد اللي هو واحد اللي بعدها for", "tokens": [3555, 36081, 995, 16472, 36764, 24401, 6225, 3215, 3215, 9957, 16472, 20328, 5016, 4032, 2304, 7435, 2304, 45367, 2423, 8236, 4190, 46740, 11778, 12610, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 36764, 24401, 337, 297, 23032, 3555, 3615, 995, 1975, 1829, 8592, 39894, 5016, 4587, 4587, 2423, 2026, 5296, 9861, 36764, 24401, 2031, 36764, 24401, 30767, 16373, 3215, 9861, 297, 36764, 24401, 2031, 77, 1975, 1829, 8592, 3714, 6027, 3224, 1975, 9381, 17082, 2288, 9154, 36764, 24401, 15844, 36764, 24401, 13672, 1829, 31439, 36764, 24401, 13672, 1829, 39182, 11296, 337], "avg_logprob": -0.23420515737455824, "compression_ratio": 1.7722222222222221, "no_speech_prob": 0.0003275871276855469, "words": [{"start": 326.83, "end": 327.61, "word": "بيتا", "probability": 0.5963948567708334}, {"start": 327.61, "end": 328.43, "word": " ان", "probability": 0.322265625}, {"start": 328.43, "end": 329.85, "word": " واحد", "probability": 0.947021484375}, {"start": 329.85, "end": 330.43, "word": " عددين", "probability": 0.77471923828125}, {"start": 330.43, "end": 330.63, "word": " ان", "probability": 0.60595703125}, {"start": 330.63, "end": 331.19, "word": " صح", "probability": 0.91650390625}, {"start": 331.19, "end": 332.35, "word": " ومجموع", "probability": 0.84384765625}, {"start": 332.35, "end": 332.49, "word": " ال", "probability": 0.857421875}, {"start": 332.49, "end": 332.79, "word": " absolute", "probability": 0.77880859375}, {"start": 332.79, "end": 333.35, "word": " values", "probability": 0.66455078125}, {"start": 333.35, "end": 333.53, "word": " له", "probability": 0.467529296875}, {"start": 333.53, "end": 333.77, "word": " دول", "probability": 0.79931640625}, {"start": 333.77, "end": 333.89, "word": " ايش", "probability": 0.6061197916666666}, {"start": 333.89, "end": 334.43, "word": " بيساوي", "probability": 0.86826171875}, {"start": 334.43, "end": 335.43, "word": " واحد", "probability": 0.906982421875}, {"start": 335.43, "end": 336.21, "word": " for", "probability": 0.378662109375}, {"start": 336.21, "end": 336.71, "word": " n", "probability": 0.483642578125}, {"start": 336.71, "end": 338.33, "word": " طبعا", "probability": 0.95166015625}, {"start": 338.33, "end": 338.49, "word": " ايش", "probability": 0.8984375}, {"start": 338.49, "end": 339.05, "word": " بتحقق", "probability": 0.854736328125}, {"start": 339.05, "end": 339.25, "word": " ال", "probability": 0.7744140625}, {"start": 339.25, "end": 339.71, "word": " norm", "probability": 0.90234375}, {"start": 339.71, "end": 340.33, "word": " ل", "probability": 0.9658203125}, {"start": 340.33, "end": 340.61, "word": " beta", "probability": 0.261962890625}, {"start": 340.61, "end": 341.15, "word": " واحد", "probability": 0.93310546875}, {"start": 341.15, "end": 341.53, "word": " x", "probability": 0.525390625}, {"start": 341.53, "end": 342.17, "word": " واحد", "probability": 0.955322265625}, {"start": 342.17, "end": 343.73, "word": " زائد", "probability": 0.8779296875}, {"start": 343.73, "end": 344.77, "word": " beta", "probability": 0.6220703125}, {"start": 344.77, "end": 345.23, "word": " n", "probability": 0.70947265625}, {"start": 345.23, "end": 346.33, "word": " واحد", "probability": 0.971923828125}, {"start": 346.33, "end": 347.47, "word": " xn", "probability": 0.72900390625}, {"start": 347.47, "end": 348.01, "word": " ايش", "probability": 0.8876953125}, {"start": 348.01, "end": 348.49, "word": " ماله", "probability": 0.7529296875}, {"start": 348.49, "end": 349.43, "word": " اصغر", "probability": 0.929443359375}, {"start": 349.43, "end": 349.61, "word": " من", "probability": 0.99560546875}, {"start": 349.61, "end": 350.19, "word": " واحد", "probability": 0.986572265625}, {"start": 350.19, "end": 350.41, "word": " على", "probability": 0.7509765625}, {"start": 350.41, "end": 350.77, "word": " واحد", "probability": 0.986083984375}, {"start": 350.77, "end": 350.89, "word": " اللي", "probability": 0.9345703125}, {"start": 350.89, "end": 351.03, "word": " هو", "probability": 0.986328125}, {"start": 351.03, "end": 351.49, "word": " واحد", "probability": 0.98974609375}, {"start": 351.49, "end": 352.19, "word": " اللي", "probability": 0.8740234375}, {"start": 352.19, "end": 352.77, "word": " بعدها", "probability": 0.830810546875}, {"start": 352.77, "end": 353.63, "word": " for", "probability": 0.92236328125}], "temperature": 1.0}, {"id": 17, "seek": 36600, "start": 354.42, "end": 366.0, "text": "اللي هو n بتساوي 2 there exist beta 1 2 و beta 2 2 فاهمين عليها لعند beta n 2", "tokens": [6027, 20292, 31439, 297, 39894, 3794, 995, 45865, 568, 456, 2514, 9861, 502, 568, 4032, 9861, 568, 568, 6156, 995, 16095, 9957, 25894, 11296, 5296, 3615, 41260, 9861, 297, 568], "avg_logprob": -0.3984375057681914, "compression_ratio": 1.0824742268041236, "no_speech_prob": 2.7418136596679688e-05, "words": [{"start": 354.42, "end": 354.74, "word": "اللي", "probability": 0.404541015625}, {"start": 354.74, "end": 355.02, "word": " هو", "probability": 0.796875}, {"start": 355.02, "end": 355.4, "word": " n", "probability": 0.22216796875}, {"start": 355.4, "end": 356.16, "word": " بتساوي", "probability": 0.639556884765625}, {"start": 356.16, "end": 356.62, "word": " 2", "probability": 0.85107421875}, {"start": 356.62, "end": 356.98, "word": " there", "probability": 0.2078857421875}, {"start": 356.98, "end": 357.56, "word": " exist", "probability": 0.75830078125}, {"start": 357.56, "end": 358.4, "word": " beta", "probability": 0.2958984375}, {"start": 358.4, "end": 358.92, "word": " 1", "probability": 0.71337890625}, {"start": 358.92, "end": 359.58, "word": " 2", "probability": 0.62158203125}, {"start": 359.58, "end": 360.4, "word": " و", "probability": 0.87451171875}, {"start": 360.4, "end": 360.8, "word": " beta", "probability": 0.83447265625}, {"start": 360.8, "end": 361.36, "word": " 2", "probability": 0.94970703125}, {"start": 361.36, "end": 361.82, "word": " 2", "probability": 0.96337890625}, {"start": 361.82, "end": 362.22, "word": " فاهمين", "probability": 0.9326171875}, {"start": 362.22, "end": 362.8, "word": " عليها", "probability": 0.751708984375}, {"start": 362.8, "end": 363.64, "word": " لعند", "probability": 0.8180338541666666}, {"start": 363.64, "end": 364.16, "word": " beta", "probability": 0.63671875}, {"start": 364.16, "end": 364.76, "word": " n", "probability": 0.83544921875}, {"start": 364.76, "end": 366.0, "word": " 2", "probability": 0.81640625}], "temperature": 1.0}, {"id": 18, "seek": 39364, "start": 366.96, "end": 393.64, "text": "ماله هذا sequence of scalars الـ summation اللي بيساوي واحد absolute value لهن و norm هن beta 1 2 x 1 زائد beta 1 2 2 x 2 زائد beta n 2 x n برضه أصغر من minimum واحد على اتنين in general for M", "tokens": [2304, 6027, 3224, 23758, 8310, 295, 15664, 685, 2423, 39184, 28811, 13672, 1829, 4724, 1829, 3794, 995, 45865, 36764, 24401, 8236, 2158, 46740, 1863, 4032, 2026, 8032, 1863, 9861, 502, 568, 2031, 502, 30767, 16373, 3215, 9861, 502, 568, 568, 2031, 568, 30767, 16373, 3215, 9861, 297, 568, 2031, 297, 4724, 43042, 3224, 5551, 9381, 17082, 2288, 9154, 7285, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 294, 2674, 337, 376], "avg_logprob": -0.33340668174582466, "compression_ratio": 1.3695652173913044, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 366.96, "end": 367.5, "word": "ماله", "probability": 0.642333984375}, {"start": 367.5, "end": 367.86, "word": " هذا", "probability": 0.626953125}, {"start": 367.86, "end": 368.5, "word": " sequence", "probability": 0.515625}, {"start": 368.5, "end": 368.74, "word": " of", "probability": 0.97119140625}, {"start": 368.74, "end": 369.26, "word": " scalars", "probability": 0.91162109375}, {"start": 369.26, "end": 369.52, "word": " الـ", "probability": 0.539794921875}, {"start": 369.52, "end": 369.92, "word": " summation", "probability": 0.4892578125}, {"start": 369.92, "end": 370.2, "word": " اللي", "probability": 0.527587890625}, {"start": 370.2, "end": 370.64, "word": " بيساوي", "probability": 0.726220703125}, {"start": 370.64, "end": 370.98, "word": " واحد", "probability": 0.83837890625}, {"start": 370.98, "end": 371.26, "word": " absolute", "probability": 0.1297607421875}, {"start": 371.26, "end": 371.7, "word": " value", "probability": 0.9853515625}, {"start": 371.7, "end": 372.14, "word": " لهن", "probability": 0.61328125}, {"start": 372.14, "end": 372.56, "word": " و", "probability": 0.69140625}, {"start": 372.56, "end": 373.1, "word": " norm", "probability": 0.69140625}, {"start": 373.1, "end": 373.72, "word": " هن", "probability": 0.6849365234375}, {"start": 373.72, "end": 374.36, "word": " beta", "probability": 0.338134765625}, {"start": 374.36, "end": 374.66, "word": " 1", "probability": 0.384033203125}, {"start": 374.66, "end": 375.22, "word": " 2", "probability": 0.42822265625}, {"start": 375.22, "end": 376.08, "word": " x", "probability": 0.6279296875}, {"start": 376.08, "end": 376.72, "word": " 1", "probability": 0.8544921875}, {"start": 376.72, "end": 377.18, "word": " زائد", "probability": 0.6639811197916666}, {"start": 377.18, "end": 377.68, "word": " beta", "probability": 0.83349609375}, {"start": 377.68, "end": 378.68, "word": " 1", "probability": 0.79541015625}, {"start": 378.68, "end": 379.36, "word": " 2", "probability": 0.9404296875}, {"start": 379.36, "end": 380.24, "word": " 2", "probability": 0.984375}, {"start": 380.24, "end": 380.98, "word": " x", "probability": 0.9697265625}, {"start": 380.98, "end": 381.56, "word": " 2", "probability": 0.77392578125}, {"start": 381.56, "end": 382.12, "word": " زائد", "probability": 0.9597981770833334}, {"start": 382.12, "end": 382.72, "word": " beta", "probability": 0.919921875}, {"start": 382.72, "end": 383.72, "word": " n", "probability": 0.70263671875}, {"start": 383.72, "end": 384.66, "word": " 2", "probability": 0.97265625}, {"start": 384.66, "end": 385.42, "word": " x", "probability": 0.97705078125}, {"start": 385.42, "end": 386.02, "word": " n", "probability": 0.76123046875}, {"start": 386.02, "end": 387.04, "word": " برضه", "probability": 0.9554036458333334}, {"start": 387.04, "end": 387.38, "word": " أصغر", "probability": 0.9385986328125}, {"start": 387.38, "end": 387.56, "word": " من", "probability": 0.97998046875}, {"start": 387.56, "end": 387.86, "word": " minimum", "probability": 0.1434326171875}, {"start": 387.86, "end": 388.58, "word": " واحد", "probability": 0.8173828125}, {"start": 388.58, "end": 389.28, "word": " على", "probability": 0.71533203125}, {"start": 389.28, "end": 389.74, "word": " اتنين", "probability": 0.961181640625}, {"start": 389.74, "end": 390.18, "word": " in", "probability": 0.8828125}, {"start": 390.18, "end": 391.3, "word": " general", "probability": 0.92236328125}, {"start": 391.3, "end": 392.92, "word": " for", "probability": 0.92431640625}, {"start": 392.92, "end": 393.64, "word": " M", "probability": 0.5}], "temperature": 1.0}, {"id": 19, "seek": 42286, "start": 394.32, "end": 422.86, "text": "There exists Beta 1M و Beta 2M لعند Beta nM such that Norمجموح بساوية Absolute Value 1 و Beta 1M في X1 زائد Beta nM Xn أصغر ��ن 1 على N ماشي الحالة هذا الكلام for any M", "tokens": [51, 511, 68, 8198, 33286, 502, 44, 4032, 33286, 568, 44, 5296, 3615, 41260, 33286, 297, 44, 1270, 300, 6966, 2304, 7435, 2304, 2407, 5016, 4724, 3794, 995, 2407, 10632, 43965, 1169, 39352, 502, 4032, 33286, 502, 44, 8978, 1783, 16, 30767, 16373, 3215, 33286, 297, 44, 1783, 77, 5551, 9381, 17082, 2288, 9154, 502, 15844, 426, 3714, 33599, 1829, 21542, 6027, 3660, 23758, 2423, 28820, 10943, 337, 604, 376], "avg_logprob": -0.35981514924009084, "compression_ratio": 1.2528735632183907, "no_speech_prob": 9.238719940185547e-06, "words": [{"start": 394.32, "end": 394.64, "word": "There", "probability": 0.5188395182291666}, {"start": 394.64, "end": 395.28, "word": " exists", "probability": 0.483154296875}, {"start": 395.28, "end": 395.74, "word": " Beta", "probability": 0.4853515625}, {"start": 395.74, "end": 396.8, "word": " 1M", "probability": 0.76708984375}, {"start": 396.8, "end": 397.82, "word": " و", "probability": 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{"start": 406.84, "end": 407.56, "word": " و", "probability": 0.70947265625}, {"start": 407.56, "end": 408.02, "word": " Beta", "probability": 0.90478515625}, {"start": 408.02, "end": 409.4, "word": " 1M", "probability": 0.948974609375}, {"start": 409.4, "end": 411.32, "word": " في", "probability": 0.56982421875}, {"start": 411.32, "end": 411.94, "word": " X1", "probability": 0.71630859375}, {"start": 411.94, "end": 412.8, "word": " زائد", "probability": 0.72314453125}, {"start": 412.8, "end": 413.78, "word": " Beta", "probability": 0.4560546875}, {"start": 413.78, "end": 415.02, "word": " nM", "probability": 0.938720703125}, {"start": 415.02, "end": 416.48, "word": " Xn", "probability": 0.915283203125}, {"start": 416.48, "end": 417.78, "word": " أصغر", "probability": 0.9757080078125}, {"start": 417.78, "end": 418.12, "word": " من", "probability": 0.99365234375}, {"start": 418.12, "end": 418.74, "word": " 1", "probability": 0.67138671875}, {"start": 418.74, "end": 419.36, "word": " على", "probability": 0.60791015625}, {"start": 419.36, "end": 419.66, "word": " N", "probability": 0.39990234375}, {"start": 419.66, "end": 420.72, "word": " ماشي", "probability": 0.73974609375}, {"start": 420.72, "end": 421.08, "word": " الحالة", "probability": 0.7683919270833334}, {"start": 421.08, "end": 421.28, "word": " هذا", "probability": 0.38671875}, {"start": 421.28, "end": 421.94, "word": " الكلام", "probability": 0.8759765625}, {"start": 421.94, "end": 422.18, "word": " for", "probability": 0.68505859375}, {"start": 422.18, "end": 422.54, "word": " any", "probability": 0.8173828125}, {"start": 422.54, "end": 422.86, "word": " M", "probability": 0.787109375}], "temperature": 1.0}, {"id": 20, "seek": 44620, "start": 423.9, "end": 446.2, "text": "صحيح طيب شوفوا عليا الان then بناء على الكلام هذا there exist a sequence YM of vectors اللي هو YM بتساوي Beta 1 M X 1 زائد Beta 2 M X 2 زائد Beta M X M ماشي الحال اللي هي هذه ال sequence Y1", "tokens": [9381, 5016, 1829, 5016, 23032, 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0.852783203125}, {"start": 434.26, "end": 434.48, "word": " هو", "probability": 0.900390625}, {"start": 434.48, "end": 435.04, "word": " YM", "probability": 0.896484375}, {"start": 435.04, "end": 435.5, "word": " بتساوي", "probability": 0.7587890625}, {"start": 435.5, "end": 435.76, "word": " Beta", "probability": 0.48388671875}, {"start": 435.76, "end": 436.04, "word": " 1", "probability": 0.80908203125}, {"start": 436.04, "end": 436.32, "word": " M", "probability": 0.2626953125}, {"start": 436.32, "end": 436.52, "word": " X", "probability": 0.95703125}, {"start": 436.52, "end": 436.98, "word": " 1", "probability": 0.7919921875}, {"start": 436.98, "end": 437.9, "word": " زائد", "probability": 0.7731119791666666}, {"start": 437.9, "end": 438.1, "word": " Beta", "probability": 0.912109375}, {"start": 438.1, "end": 438.4, "word": " 2", "probability": 0.96630859375}, {"start": 438.4, "end": 438.6, "word": " M", "probability": 0.84423828125}, {"start": 438.6, "end": 438.78, "word": " X", "probability": 0.98974609375}, {"start": 438.78, "end": 439.12, "word": " 2", "probability": 0.82177734375}, {"start": 439.12, "end": 439.6, "word": " زائد", "probability": 0.9724934895833334}, {"start": 439.6, "end": 439.98, "word": " Beta", "probability": 0.93896484375}, {"start": 439.98, "end": 440.54, "word": " M", "probability": 0.83544921875}, {"start": 440.54, "end": 440.98, "word": " X", "probability": 0.9921875}, {"start": 440.98, "end": 441.38, "word": " M", "probability": 0.9521484375}, {"start": 441.38, "end": 442.32, "word": " ماشي", "probability": 0.8917643229166666}, {"start": 442.32, "end": 442.66, "word": " الحال", "probability": 0.9833984375}, {"start": 442.66, "end": 443.5, "word": " اللي", "probability": 0.97119140625}, {"start": 443.5, "end": 443.9, "word": " هي", "probability": 0.81201171875}, {"start": 443.9, "end": 444.88, "word": " هذه", "probability": 0.5615234375}, {"start": 444.88, "end": 445.02, "word": " ال", "probability": 0.9306640625}, {"start": 445.02, "end": 445.38, "word": " sequence", "probability": 0.953125}, {"start": 445.38, "end": 446.2, "word": " Y1", "probability": 0.875}], "temperature": 1.0}, {"id": 21, "seek": 46677, "start": 447.07, "end": 466.77, "text": "هي الأولى Y1 Beta 1 1 Beta 2 1 الى عند Beta هي عنصر الان الأولاني ال Y2 العنصر الثاني ال Y تلقى نفس الاشي إلى ما ندلنا دهانا دي صارت sequence شك كيف شكل عناصرها عناصرها هذوله ال linear combination", "tokens": [3224, 1829, 2423, 10721, 12610, 7578, 398, 16, 33286, 502, 502, 33286, 568, 502, 2423, 7578, 43242, 33286, 39896, 18871, 9381, 2288, 2423, 7649, 2423, 10721, 12610, 7649, 1829, 2423, 398, 17, 18863, 1863, 9381, 2288, 6024, 104, 7649, 1829, 2423, 398, 6055, 1211, 4587, 7578, 8717, 36178, 2423, 33599, 1829, 30731, 19446, 8717, 3215, 1211, 8315, 11778, 3224, 7649, 995, 11778, 1829, 20328, 9640, 2655, 8310, 13412, 4117, 9122, 33911, 13412, 28820, 18871, 33546, 2288, 11296, 18871, 33546, 2288, 11296, 8032, 8848, 12610, 3224, 2423, 8213, 6562], "avg_logprob": 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{"start": 453.71, "end": 453.99, "word": " Beta", "probability": 0.814453125}, {"start": 453.99, "end": 454.15, "word": " هي", "probability": 0.453857421875}, {"start": 454.15, "end": 454.57, "word": " عنصر", "probability": 0.9588216145833334}, {"start": 454.57, "end": 454.89, "word": " الان", "probability": 0.83154296875}, {"start": 454.89, "end": 455.95, "word": " الأولاني", "probability": 0.790234375}, {"start": 455.95, "end": 456.33, "word": " ال", "probability": 0.8837890625}, {"start": 456.33, "end": 456.95, "word": " Y2", "probability": 0.834228515625}, {"start": 456.95, "end": 457.61, "word": " العنصر", "probability": 0.8804931640625}, {"start": 457.61, "end": 458.11, "word": " الثاني", "probability": 0.9591064453125}, {"start": 458.11, "end": 458.89, "word": " ال", "probability": 0.9677734375}, {"start": 458.89, "end": 459.07, "word": " Y", "probability": 0.91748046875}, {"start": 459.07, "end": 459.41, "word": " تلقى", "probability": 0.6278076171875}, {"start": 459.41, "end": 459.63, "word": " نفس", "probability": 0.995849609375}, {"start": 459.63, "end": 459.99, "word": " الاشي", "probability": 0.810791015625}, {"start": 459.99, "end": 460.19, "word": " إلى", "probability": 0.58447265625}, {"start": 460.19, "end": 460.35, "word": " ما", "probability": 0.423828125}, {"start": 460.35, "end": 460.83, "word": " ندلنا", "probability": 0.6854248046875}, {"start": 460.83, "end": 461.11, "word": " دهانا", "probability": 0.5609130859375}, {"start": 461.11, "end": 461.23, "word": " دي", "probability": 0.7509765625}, {"start": 461.23, "end": 461.51, "word": " صارت", "probability": 0.9736328125}, {"start": 461.51, "end": 462.23, "word": " sequence", "probability": 0.67431640625}, {"start": 462.23, "end": 463.21, "word": " شك", "probability": 0.6158447265625}, {"start": 463.21, "end": 463.43, "word": " كيف", "probability": 0.74267578125}, {"start": 463.43, "end": 463.69, "word": " شكل", "probability": 0.989501953125}, {"start": 463.69, "end": 464.35, "word": " عناصرها", "probability": 0.9727783203125}, {"start": 464.35, "end": 465.13, "word": " عناصرها", "probability": 0.79266357421875}, {"start": 465.13, "end": 465.61, "word": " هذوله", "probability": 0.68145751953125}, {"start": 465.61, "end": 465.71, "word": " ال", "probability": 0.84521484375}, {"start": 465.71, "end": 466.05, "word": " linear", "probability": 0.8828125}, {"start": 466.05, "end": 466.77, "word": " combination", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 22, "seek": 49494, "start": 467.6, "end": 494.94, "text": "من اللي أنا حكيت عنه هنا بحيث ان الـ summation L الـ absolute value لكل اللي بتتكون منها لكل YM مجبوح ان يش بيساوي واحد ومش هيك ولو اجيت اخدت norm ال YM هي norm ال YM هذا هو من هي هي في الواقع هذا من نورم ال YM هيساوي ال norm لهذه", "tokens": [27842, 13672, 1829, 41850, 11331, 4117, 36081, 18871, 3224, 34105, 4724, 5016, 1829, 12984, 16472, 2423, 39184, 28811, 441, 2423, 39184, 8236, 2158, 5296, 28820, 13672, 1829, 39894, 2655, 30544, 9154, 11296, 5296, 28820, 398, 44, 3714, 7435, 3555, 2407, 5016, 16472, 7251, 8592, 4724, 1829, 3794, 995, 45865, 36764, 24401, 4032, 2304, 8592, 39896, 4117, 4032, 1211, 2407, 1975, 7435, 36081, 1975, 9778, 3215, 2655, 2026, 2423, 398, 44, 39896, 2026, 2423, 398, 44, 23758, 31439, 9154, 39896, 39896, 8978, 2423, 14407, 4587, 3615, 23758, 9154, 8717, 13063, 2304, 2423, 398, 44, 39896, 3794, 995, 45865, 2423, 2026, 46740, 24192], "avg_logprob": -0.3287377375013688, "compression_ratio": 1.721698113207547, "no_speech_prob": 8.702278137207031e-06, "words": [{"start": 467.6, "end": 467.88, "word": "من", "probability": 0.52001953125}, {"start": 467.88, "end": 468.16, "word": " اللي", "probability": 0.7056884765625}, {"start": 468.16, "end": 468.38, "word": " أنا", "probability": 0.56396484375}, {"start": 468.38, "end": 468.8, "word": " حكيت", "probability": 0.970703125}, {"start": 468.8, "end": 469.08, "word": " عنه", "probability": 0.886962890625}, {"start": 469.08, "end": 469.38, "word": " هنا", 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sequence YM من الـ vectors هذه الـ norm تبعها goes to zero as M goes to mean to infinity خلوا هذه في الذاكرة إذا انت حصلت على sequence", "tokens": [296, 376, 1709, 281, 13202, 23758, 2423, 39184, 2026, 7251, 8592, 13546, 30731, 5551, 9957, 8717, 32887, 5016, 30731, 17182, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 20328, 9640, 2655, 18871, 16254, 13672, 1829, 31439, 2423, 39184, 8310, 398, 44, 9154, 2423, 39184, 18875, 29538, 2423, 39184, 2026, 6055, 3555, 3615, 11296, 1709, 281, 4018, 382, 376, 1709, 281, 914, 281, 13202, 16490, 1211, 14407, 29538, 8978, 32545, 995, 4117, 25720, 11933, 15730, 16472, 2655, 11331, 36520, 2655, 15844, 8310], "avg_logprob": -0.3736496854711462, "compression_ratio": 1.5812807881773399, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 495.51, "end": 495.89, "word": "as", "probability": 0.04925537109375}, {"start": 495.89, "end": 496.25, "word": " M", "probability": 0.61669921875}, {"start": 496.25, "end": 496.65, "word": " goes", "probability": 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{"start": 517.55, "end": 518.45, "word": " خلوا", "probability": 0.7950846354166666}, {"start": 518.45, "end": 518.79, "word": " هذه", "probability": 0.69287109375}, {"start": 518.79, "end": 518.93, "word": " في", "probability": 0.9560546875}, {"start": 518.93, "end": 519.45, "word": " الذاكرة", "probability": 0.850341796875}, {"start": 519.45, "end": 519.99, "word": " إذا", "probability": 0.8271484375}, {"start": 519.99, "end": 520.15, "word": " انت", "probability": 0.765380859375}, {"start": 520.15, "end": 520.65, "word": " حصلت", "probability": 0.8575846354166666}, {"start": 520.65, "end": 520.75, "word": " على", "probability": 0.76171875}, {"start": 520.75, "end": 521.09, "word": " sequence", "probability": 0.63671875}], "temperature": 1.0}, {"id": 24, "seek": 55023, "start": 522.01, "end": 550.23, "text": "YM هي شكل الـ sequence نورمها بروح لمن؟ للصفر بدا أصلكم في الآخر ل contradiction شوفوا كيف الان نتفجين احنا ان ال summation لكل مجموعة من هدولة ال absolute values لهم كل مجموعة ال summation انهي مش بساوي بساوي واحد بمعنى بمعنى ان كل واحدة منهم BIM أصغر بساوي واحد لكل I", "tokens": [56, 44, 39896, 13412, 28820, 2423, 39184, 8310, 8717, 13063, 2304, 11296, 4724, 32887, 5016, 5296, 27842, 22807, 24976, 9381, 5172, 2288, 4724, 28259, 5551, 36520, 24793, 8978, 6024, 95, 34740, 5296, 34937, 13412, 38688, 14407, 9122, 33911, 2423, 7649, 8717, 2655, 5172, 7435, 9957, 1975, 5016, 8315, 16472, 2423, 28811, 5296, 28820, 3714, 7435, 2304, 2407, 27884, 9154, 8032, 3215, 12610, 3660, 2423, 8236, 4190, 5296, 16095, 28242, 3714, 7435, 2304, 2407, 27884, 2423, 28811, 16472, 3224, 1829, 37893, 4724, 3794, 995, 45865, 4724, 3794, 995, 45865, 36764, 24401, 4724, 2304, 3615, 1863, 7578, 4724, 2304, 3615, 1863, 7578, 16472, 28242, 36764, 24401, 3660, 9154, 16095, 363, 6324, 5551, 9381, 17082, 2288, 4724, 3794, 995, 45865, 36764, 24401, 5296, 28820, 286], "avg_logprob": -0.258765255048023, "compression_ratio": 1.712, "no_speech_prob": 1.1563301086425781e-05, "words": [{"start": 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{"start": 549.19, "end": 549.49, "word": " واحد", "probability": 0.9833984375}, {"start": 549.49, "end": 549.89, "word": " لكل", "probability": 0.9853515625}, {"start": 549.89, "end": 550.23, "word": " I", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 25, "seek": 57257, "start": 550.97, "end": 572.57, "text": "معايا كلهم دايما ال norm أشماله أصغر من واحد ده كل I ولا كل مين واحد يعني بي واحد واحد أصغر شوي واحد بي واحد اتنين اصغر .. و هكذا ماشي الحال .. هذا إيه اللي معناه hence الآن for any fixed I اختارولي BIM اللي هي بي اي واحد", "tokens": [2304, 3615, 995, 25528, 28242, 16095, 11778, 47302, 15042, 2423, 2026, 5551, 8592, 2304, 6027, 3224, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 11778, 3224, 28242, 286, 49429, 28242, 3714, 9957, 36764, 24401, 37495, 22653, 4724, 1829, 36764, 24401, 36764, 24401, 5551, 9381, 17082, 2288, 13412, 45865, 36764, 24401, 4724, 1829, 36764, 24401, 1975, 2655, 1863, 9957, 1975, 9381, 17082, 2288, 4386, 4032, 8032, 4117, 15730, 3714, 33599, 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"bim", "probability": 0.343017578125}, {"start": 589.28, "end": 589.96, "word": " in", "probability": 0.273193359375}, {"start": 589.96, "end": 590.4, "word": " general", "probability": 0.90673828125}, {"start": 590.4, "end": 591.46, "word": " هذه", "probability": 0.52783203125}, {"start": 591.46, "end": 592.68, "word": " عبارة", "probability": 0.9915771484375}, {"start": 592.68, "end": 592.92, "word": " عن", "probability": 0.9970703125}, {"start": 592.92, "end": 593.26, "word": " sequence", "probability": 0.87451171875}, {"start": 593.26, "end": 593.64, "word": " of", "probability": 0.95751953125}, {"start": 593.64, "end": 594.22, "word": " numbers", "probability": 0.81884765625}, {"start": 594.22, "end": 595.3, "word": " مظبوط", "probability": 0.808447265625}, {"start": 595.3, "end": 595.48, "word": " ولا", "probability": 0.89599609375}, {"start": 595.48, "end": 596.08, "word": " لأ؟", "probability": 0.5413818359375}, {"start": 596.08, "end": 597.12, "word": " كل", "probability": 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{"start": 601.0, "end": 601.24, "word": " هذه", "probability": 0.80322265625}, {"start": 601.24, "end": 601.62, "word": " sequence", "probability": 0.9794921875}, {"start": 601.62, "end": 601.8, "word": " of", "probability": 0.97216796875}, {"start": 601.8, "end": 603.14, "word": " numbers", "probability": 0.66064453125}, {"start": 603.14, "end": 603.96, "word": " عدد", "probability": 0.9420572916666666}, {"start": 603.96, "end": 604.12, "word": " من", "probability": 0.41552734375}, {"start": 604.12, "end": 604.64, "word": " هدولة", "probability": 0.76025390625}, {"start": 604.64, "end": 605.32, "word": " واحدة", "probability": 0.8680013020833334}, {"start": 605.32, "end": 605.52, "word": " اتنين", "probability": 0.8406982421875}, {"start": 605.52, "end": 605.7, "word": " اتنين", "probability": 0.76776123046875}, {"start": 605.7, "end": 606.22, "word": " تلاتة", "probability": 0.83929443359375}, {"start": 606.22, "end": 606.64, "word": " اربع", "probability": 0.7691243489583334}, {"start": 606.64, "end": 606.92, "word": " ان", "probability": 0.483154296875}, {"start": 606.92, "end": 607.12, "word": " من", "probability": 0.35693359375}, {"start": 607.12, "end": 607.28, "word": " اللي", "probability": 0.5797119140625}, {"start": 607.28, "end": 607.44, "word": " من", "probability": 0.61083984375}, {"start": 607.44, "end": 607.64, "word": " ال", "probability": 0.78759765625}, {"start": 607.64, "end": 608.14, "word": " sequences", "probability": 0.463623046875}, {"start": 608.14, "end": 608.98, "word": " كل", "probability": 0.92529296875}, {"start": 608.98, "end": 609.64, "word": " واحدة", "probability": 0.9661458333333334}, {"start": 609.64, "end": 610.26, "word": " فيهم", "probability": 0.871826171875}, {"start": 610.26, "end": 610.74, "word": " is", "probability": 0.91162109375}, {"start": 610.74, "end": 610.96, "word": " a", "probability": 0.931640625}, {"start": 610.96, "end": 611.3, "word": " bounded", "probability": 0.94287109375}, {"start": 611.3, "end": 612.06, "word": " sequence", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 28, "seek": 61854, "start": 612.53, "end": 618.55, "text": "لماذا اسمها Sequence؟ لأن اي انكالة الواحدة فيهم اصغر او يساوي ايش واحد", "tokens": [19528, 45636, 995, 24525, 2304, 11296, 46859, 655, 22807, 5296, 33456, 1975, 1829, 16472, 4117, 6027, 3660, 2423, 14407, 24401, 3660, 8978, 16095, 1975, 9381, 17082, 2288, 1975, 2407, 7251, 3794, 995, 45865, 1975, 1829, 8592, 36764, 24401], "avg_logprob": -0.48036858668694127, "compression_ratio": 1.196078431372549, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 612.53, "end": 612.89, "word": "لماذا", "probability": 0.6558430989583334}, {"start": 612.89, "end": 613.07, "word": " اسمها", "probability": 0.4985860188802083}, {"start": 613.07, "end": 613.97, "word": " Sequence؟", "probability": 0.5354410807291666}, {"start": 613.97, "end": 614.47, "word": " لأن", "probability": 0.7705078125}, {"start": 614.47, "end": 614.91, "word": " اي", 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numbers و bounded فبنيجي نشوف العالمين على بي واحد of M", "tokens": [3555, 8592, 2288, 3215, 9154, 2423, 39184, 1901, 13672, 1829, 18871, 16254, 30731, 2423, 39184, 1901, 8978, 497, 34051, 8978, 383, 5551, 9778, 3215, 2655, 11296, 8310, 295, 2135, 295, 3547, 4724, 1829, 1975, 1829, 36764, 24401, 4724, 1829, 1975, 1829, 1975, 2655, 1863, 9957, 307, 257, 37498, 8310, 550, 4724, 1829, 36764, 24401, 13672, 1829, 39896, 376, 4032, 4724, 1829, 1975, 2655, 1863, 9957, 376, 28242, 8032, 7578, 8717, 36178, 25124, 1829, 38207, 8310, 295, 1975, 1829, 8592, 22807, 295, 3547, 4032, 37498, 6156, 3555, 1863, 1829, 7435, 1829, 8717, 8592, 38688, 18863, 45340, 9957, 15844, 4724, 1829, 36764, 24401, 295, 376], "avg_logprob": -0.3058894288081389, "compression_ratio": 1.7419354838709677, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 621.12, "end": 621.76, "word": "بشرد", "probability": 0.434783935546875}, {"start": 621.76, "end": 622.18, "word": " من", "probability": 0.625}, {"start": 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{"start": 641.98, "end": 642.18, "word": " نشوف", "probability": 0.9729817708333334}, {"start": 642.18, "end": 642.76, "word": " العالمين", "probability": 0.97412109375}, {"start": 642.76, "end": 643.04, "word": " على", "probability": 0.400390625}, {"start": 643.04, "end": 643.22, "word": " بي", "probability": 0.8291015625}, {"start": 643.22, "end": 643.62, "word": " واحد", "probability": 0.992431640625}, {"start": 643.62, "end": 643.78, "word": " of", "probability": 0.80078125}, {"start": 643.78, "end": 644.0, "word": " M", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 30, "seek": 66300, "start": 645.5, "end": 663.0, "text": "الأن بي واحد of M has مادام sequence of numbers وهي bounded احنا بنعرف في الريال ان any bounded sequence has a convergence of a subsequence بلزانو اه مذاكرين؟ اذا يا جماعة صار عند بي واحد M اللي هي", "tokens": [6027, 33456, 4724, 1829, 36764, 24401, 295, 376, 575, 3714, 18513, 10943, 8310, 295, 3547, 37037, 1829, 37498, 1975, 5016, 8315, 44945, 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0.864013671875}, {"start": 762.35, "end": 763.55, "word": " subsequence", "probability": 0.6473388671875}, {"start": 763.55, "end": 764.55, "word": " اللي", "probability": 0.752197265625}, {"start": 764.55, "end": 764.85, "word": " الـ", "probability": 0.638671875}, {"start": 764.85, "end": 765.09, "word": " scale", "probability": 0.368408203125}, {"start": 765.09, "end": 765.67, "word": " الذبعاتها", "probability": 0.67080078125}, {"start": 765.67, "end": 765.77, "word": " من", "probability": 0.93212890625}, {"start": 765.77, "end": 765.97, "word": " وين", "probability": 0.908203125}, {"start": 765.97, "end": 766.57, "word": " جايت", "probability": 0.5987955729166666}, {"start": 766.57, "end": 767.25, "word": " من", "probability": 0.91259765625}, {"start": 767.25, "end": 767.57, "word": " B", "probability": 0.5771484375}, {"start": 767.57, "end": 767.89, "word": " و", "probability": 0.91357421875}, {"start": 767.89, "end": 768.15, "word": " Beta", "probability": 0.5869140625}, {"start": 768.15, "end": 768.71, "word": " 1", "probability": 0.85498046875}, {"start": 768.71, "end": 769.23, "word": " OM", "probability": 0.383544921875}, {"start": 769.23, "end": 770.19, "word": " لت", "probability": 0.5643310546875}, {"start": 770.19, "end": 771.23, "word": " Y1M", "probability": 0.9069010416666666}, {"start": 771.23, "end": 771.69, "word": " بي", "probability": 0.72216796875}, {"start": 771.69, "end": 772.11, "word": " the", "probability": 0.2098388671875}, {"start": 772.11, "end": 773.03, "word": " corresponding", "probability": 0.7578125}, {"start": 773.03, "end": 773.99, "word": " sequence", "probability": 0.978515625}, {"start": 773.99, "end": 774.41, "word": " which", "probability": 0.93798828125}, {"start": 774.41, "end": 774.97, "word": " is", "probability": 0.96826171875}, {"start": 774.97, "end": 775.23, "word": " a", "probability": 0.9365234375}, {"start": 775.23, "end": 775.93, "word": " subsequence", "probability": 0.992431640625}, {"start": 775.93, "end": 776.15, "word": " of", "probability": 0.97998046875}, {"start": 776.15, "end": 776.49, "word": " mean", "probability": 0.58154296875}, {"start": 776.49, "end": 777.35, "word": " of", "probability": 0.9130859375}, {"start": 777.35, "end": 778.35, "word": " YM", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 36, "seek": 80350, "start": 779.02, "end": 803.5, "text": "Where Y1M بالظبط ايش بتساوي Beta 1 M1 X1 زائد Beta 2 M X2 يعني بس أخدت من الأولى مين من ال Beta 1 و M هذه و الباقى أخدت من مين من الأصلية تبعت ال YM Beta 2 M X2 زائد Beta N M X2 XN هذي اللي هي Y1M", "tokens": [14436, 398, 16, 44, 20666, 19913, 3555, 9566, 1975, 1829, 8592, 39894, 3794, 995, 45865, 33286, 502, 376, 16, 1783, 16, 30767, 16373, 3215, 33286, 568, 376, 1783, 17, 37495, 22653, 4724, 3794, 5551, 9778, 3215, 2655, 9154, 16247, 12610, 7578, 3714, 9957, 9154, 2423, 33286, 502, 4032, 376, 29538, 4032, 29739, 995, 4587, 7578, 5551, 9778, 3215, 2655, 9154, 3714, 9957, 9154, 16247, 9381, 20292, 3660, 6055, 3555, 34268, 2423, 398, 44, 33286, 568, 376, 1783, 17, 30767, 16373, 3215, 33286, 426, 376, 1783, 17, 1783, 45, 8032, 8848, 1829, 13672, 1829, 39896, 398, 16, 44], "avg_logprob": -0.2727997473308018, "compression_ratio": 1.6551724137931034, "no_speech_prob": 2.390146255493164e-05, "words": [{"start": 779.02, "end": 779.9, "word": "Where", "probability": 0.364990234375}, {"start": 779.9, "end": 781.44, "word": " Y1M", "probability": 0.6835123697916666}, {"start": 781.44, "end": 781.94, "word": " بالظبط", "probability": 0.9107666015625}, {"start": 781.94, "end": 782.08, "word": " ايش", "probability": 0.6925048828125}, {"start": 782.08, "end": 782.6, "word": " بتساوي", "probability": 0.8846435546875}, {"start": 782.6, "end": 783.2, "word": " Beta", "probability": 0.452392578125}, {"start": 783.2, "end": 783.56, "word": " 1", "probability": 0.85888671875}, {"start": 783.56, "end": 784.16, "word": " M1", "probability": 0.686767578125}, {"start": 784.16, "end": 784.7, "word": " X1", "probability": 0.891357421875}, {"start": 784.7, "end": 785.0, "word": " زائد", "probability": 0.4708251953125}, {"start": 785.0, "end": 785.3, "word": " Beta", "probability": 0.92431640625}, {"start": 785.3, "end": 785.7, "word": " 2", "probability": 0.94189453125}, {"start": 785.7, "end": 786.02, "word": " M", "probability": 0.78955078125}, {"start": 786.02, "end": 786.88, "word": " X2", "probability": 0.97119140625}, {"start": 786.88, "end": 787.16, "word": " يعني", "probability": 0.85546875}, {"start": 787.16, "end": 787.36, "word": " بس", "probability": 0.964111328125}, {"start": 787.36, "end": 787.76, "word": " أخدت", "probability": 0.9512939453125}, {"start": 787.76, "end": 787.92, "word": " من", "probability": 0.994140625}, {"start": 787.92, "end": 788.44, "word": " الأولى", "probability": 0.94580078125}, {"start": 788.44, "end": 788.92, "word": " مين", "probability": 0.860107421875}, {"start": 788.92, "end": 789.58, "word": " من", "probability": 0.73974609375}, {"start": 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0.6807861328125}, {"start": 793.98, "end": 794.62, "word": " تبعت", "probability": 0.8653971354166666}, {"start": 794.62, "end": 795.46, "word": " ال", "probability": 0.2232666015625}, {"start": 795.46, "end": 795.96, "word": " YM", "probability": 0.6923828125}, {"start": 795.96, "end": 796.92, "word": " Beta", "probability": 0.90869140625}, {"start": 796.92, "end": 797.26, "word": " 2", "probability": 0.94775390625}, {"start": 797.26, "end": 797.52, "word": " M", "probability": 0.783203125}, {"start": 797.52, "end": 798.04, "word": " X2", "probability": 0.983154296875}, {"start": 798.04, "end": 798.34, "word": " زائد", "probability": 0.9597981770833334}, {"start": 798.34, "end": 798.62, "word": " Beta", "probability": 0.9560546875}, {"start": 798.62, "end": 798.84, "word": " N", "probability": 0.6474609375}, {"start": 798.84, "end": 799.08, "word": " M", "probability": 0.796875}, {"start": 799.08, "end": 799.68, "word": " X2", "probability": 0.58587646484375}, {"start": 799.68, "end": 800.6, "word": " XN", "probability": 0.6346435546875}, {"start": 800.6, "end": 801.38, "word": " هذي", "probability": 0.602783203125}, {"start": 801.38, "end": 801.46, "word": " اللي", "probability": 0.919921875}, {"start": 801.46, "end": 801.7, "word": " هي", "probability": 0.90283203125}, {"start": 801.7, "end": 803.5, "word": " Y1M", "probability": 0.8937174479166666}], "temperature": 1.0}, {"id": 37, "seek": 82138, "start": 805.22, "end": 821.38, "text": "هذه الآن الـ subsequence برضه اللي عملته على الـ Beta 1 of M بدي اعمله على مين؟ Beta 2 of M وهذه اتفاجنة عبارة عن sequence of برضه أيش؟ of numbers which is bounded إذن لها برضه أيش؟ subsequence", "tokens": [3224, 24192, 6024, 48506, 2423, 39184, 13924, 655, 4724, 43042, 3224, 13672, 1829, 6225, 42213, 47395, 15844, 2423, 39184, 33286, 502, 295, 376, 4724, 16254, 1975, 25957, 43761, 15844, 3714, 9957, 22807, 33286, 568, 295, 376, 37037, 24192, 1975, 2655, 5172, 26108, 1863, 3660, 6225, 3555, 9640, 3660, 18871, 8310, 295, 4724, 43042, 3224, 36632, 8592, 22807, 295, 3547, 597, 307, 37498, 11933, 8848, 1863, 5296, 11296, 4724, 43042, 3224, 36632, 8592, 22807, 13924, 655], "avg_logprob": -0.2966694043655145, "compression_ratio": 1.5649717514124293, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 805.22, "end": 805.62, "word": "هذه", "probability": 0.5775146484375}, {"start": 805.62, "end": 805.94, "word": " الآن", "probability": 0.6463623046875}, {"start": 805.94, "end": 806.28, "word": " الـ", "probability": 0.6966552734375}, {"start": 806.28, "end": 807.26, "word": " subsequence", "probability": 0.87109375}, {"start": 807.26, "end": 808.42, "word": " برضه", "probability": 0.7034505208333334}, {"start": 808.42, "end": 808.58, "word": " اللي", "probability": 0.840087890625}, {"start": 808.58, "end": 809.08, "word": " عملته", "probability": 0.9153645833333334}, {"start": 809.08, "end": 809.36, "word": " على", "probability": 0.876953125}, {"start": 809.36, "end": 809.82, "word": " الـ", "probability": 0.6185302734375}, {"start": 809.82, "end": 810.12, "word": " Beta", "probability": 0.376220703125}, {"start": 810.12, "end": 810.82, "word": " 1", "probability": 0.8291015625}, {"start": 810.82, "end": 811.08, "word": " of", "probability": 0.73388671875}, {"start": 811.08, "end": 811.42, "word": " M", "probability": 0.9404296875}, {"start": 811.42, "end": 812.18, "word": " بدي", "probability": 0.27972412109375}, {"start": 812.18, "end": 812.48, "word": " اعمله", "probability": 0.892578125}, {"start": 812.48, "end": 812.66, "word": " على", "probability": 0.83642578125}, {"start": 812.66, "end": 813.3, "word": " مين؟", "probability": 0.714599609375}, {"start": 813.3, "end": 813.64, "word": " Beta", "probability": 0.873046875}, {"start": 813.64, "end": 814.02, "word": " 2", "probability": 0.958984375}, {"start": 814.02, "end": 814.26, "word": " of", "probability": 0.9697265625}, {"start": 814.26, "end": 814.58, "word": " M", "probability": 0.99658203125}, {"start": 814.58, "end": 815.18, "word": " وهذه", "probability": 0.741943359375}, {"start": 815.18, "end": 815.72, "word": " اتفاجنة", "probability": 0.7849934895833334}, {"start": 815.72, "end": 816.04, "word": " عبارة", "probability": 0.986328125}, {"start": 816.04, "end": 816.2, "word": " عن", "probability": 0.986328125}, {"start": 816.2, "end": 816.68, "word": " sequence", "probability": 0.53173828125}, {"start": 816.68, "end": 816.96, "word": " of", "probability": 0.9150390625}, {"start": 816.96, "end": 817.3, "word": " برضه", "probability": 0.927734375}, {"start": 817.3, "end": 818.02, "word": " أيش؟", "probability": 0.518310546875}, {"start": 818.02, "end": 818.2, "word": " of", "probability": 0.62646484375}, {"start": 818.2, "end": 818.64, "word": " numbers", "probability": 0.79443359375}, {"start": 818.64, "end": 818.88, "word": " which", "probability": 0.93017578125}, {"start": 818.88, "end": 819.1, "word": " is", "probability": 0.943359375}, {"start": 819.1, "end": 819.42, "word": " bounded", "probability": 0.90673828125}, {"start": 819.42, "end": 819.78, "word": " إذن", "probability": 0.6321614583333334}, {"start": 819.78, "end": 819.96, "word": " لها", "probability": 0.5882568359375}, {"start": 819.96, "end": 820.3, "word": " برضه", "probability": 0.9934895833333334}, {"start": 820.3, "end": 820.62, "word": " أيش؟", "probability": 0.92333984375}, {"start": 820.62, "end": 821.38, "word": " subsequence", "probability": 0.911865234375}], "temperature": 1.0}, {"id": 38, "seek": 83449, "start": 821.73, "end": 834.49, "text": "بالتالي، بما أن B2 و M هي سيكوانات مرتبطة، فهي تحتوي على سبسيكوانت مرتبطة تسميها Beta 2 M 2 هذا أيضًا مرتبط إلى B2", "tokens": [3555, 6027, 2655, 6027, 1829, 12399, 4724, 15042, 14739, 363, 17, 4032, 376, 39896, 8608, 1829, 4117, 2407, 7649, 9307, 3714, 43500, 3555, 9566, 3660, 12399, 6156, 3224, 1829, 6055, 33753, 45865, 15844, 8608, 3555, 3794, 1829, 4117, 2407, 7649, 2655, 3714, 43500, 3555, 9566, 3660, 6055, 38251, 1829, 11296, 33286, 568, 376, 568, 23758, 36632, 11242, 14111, 995, 3714, 43500, 3555, 9566, 30731, 363, 17], "avg_logprob": -0.6693096943755648, "compression_ratio": 1.4296296296296296, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 821.73, "end": 822.19, "word": "بالتالي،", "probability": 0.5638020833333334}, {"start": 822.19, "end": 822.97, "word": " بما", "probability": 0.456787109375}, {"start": 822.97, "end": 823.01, "word": " أن", "probability": 0.76953125}, {"start": 823.01, "end": 823.49, "word": " B2", "probability": 0.647705078125}, {"start": 823.49, "end": 823.67, "word": " و", "probability": 0.136962890625}, {"start": 823.67, "end": 823.83, "word": " M", "probability": 0.5810546875}, {"start": 823.83, "end": 824.07, "word": " هي", "probability": 0.223388671875}, {"start": 824.07, "end": 825.61, "word": " سيكوانات", "probability": 0.4888916015625}, {"start": 825.61, "end": 825.61, "word": " مرتبطة،", "probability": 0.5882771809895834}, {"start": 825.61, "end": 826.09, "word": " فهي", "probability": 0.6223958333333334}, {"start": 826.09, "end": 826.35, "word": " تحتوي", "probability": 0.5635579427083334}, {"start": 826.35, "end": 826.45, "word": " على", "probability": 0.767578125}, {"start": 826.45, "end": 827.85, "word": " سبسيكوانت", "probability": 0.79071044921875}, {"start": 827.85, "end": 827.85, "word": " مرتبطة", "probability": 0.6437744140625}, {"start": 827.85, "end": 828.69, "word": " تسميها", "probability": 0.6874847412109375}, {"start": 828.69, "end": 829.17, "word": " Beta", "probability": 0.426513671875}, {"start": 829.17, "end": 829.91, "word": " 2", "probability": 0.57861328125}, {"start": 829.91, "end": 830.79, "word": " M", "probability": 0.5751953125}, {"start": 830.79, "end": 831.49, "word": " 2", "probability": 0.43115234375}, {"start": 831.49, "end": 832.41, "word": " هذا", "probability": 0.249755859375}, {"start": 832.41, "end": 832.75, "word": " أيضًا", "probability": 0.6309814453125}, {"start": 832.75, "end": 833.17, "word": " مرتبط", "probability": 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Beta 2 M2 و Beta N يعني MNXN هذي و طبعا كل اللي بنشتغل فيه اللي هو ال absolute values اللي ما له مجموعة بساوي واحد من ضمنه هذول اللي اشتغلت عليه هنا إذا مجموعة دولة بساوي واحد", "tokens": [4360, 483, 398, 45, 44, 382, 257, 13924, 655, 295, 398, 45, 2022, 398, 45, 44, 36632, 8592, 39894, 3794, 995, 45865, 22807, 33286, 502, 376, 16, 33286, 568, 376, 17, 4032, 33286, 426, 37495, 22653, 376, 45, 55, 45, 8032, 8848, 1829, 4032, 23032, 3555, 3615, 995, 28242, 13672, 1829, 44945, 8592, 2655, 17082, 1211, 8978, 3224, 13672, 1829, 31439, 2423, 8236, 4190, 13672, 1829, 19446, 46740, 3714, 7435, 2304, 2407, 27884, 4724, 3794, 995, 45865, 36764, 24401, 9154, 48812, 27842, 3224, 8032, 8848, 12610, 13672, 1829, 1975, 8592, 2655, 17082, 1211, 2655, 47356, 34105, 11933, 15730, 3714, 7435, 2304, 2407, 27884, 11778, 12610, 3660, 4724, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.30088495997201026, "compression_ratio": 1.5701754385964912, "no_speech_prob": 1.1563301086425781e-05, "words": 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1.0}, {"id": 44, "seek": 97297, "start": 963.93, "end": 972.97, "text": "Limit اللي هو Beta 1 M1 زي Beta 2 M2 زي Beta N MN مجموح انش هيساوي", "tokens": [43, 332, 270, 13672, 1829, 31439, 33286, 502, 376, 16, 30767, 1829, 33286, 568, 376, 17, 30767, 1829, 33286, 426, 376, 45, 3714, 7435, 2304, 2407, 5016, 16472, 8592, 39896, 3794, 995, 45865], "avg_logprob": -0.3478860302883036, "compression_ratio": 1.125, "no_speech_prob": 2.0623207092285156e-05, "words": [{"start": 963.93, "end": 964.59, "word": "Limit", "probability": 0.6416015625}, {"start": 964.59, "end": 965.15, "word": " اللي", "probability": 0.4937744140625}, {"start": 965.15, "end": 965.43, "word": " هو", "probability": 0.9697265625}, {"start": 965.43, "end": 966.45, "word": " Beta", "probability": 0.6630859375}, {"start": 966.45, "end": 967.05, "word": " 1", "probability": 0.78662109375}, {"start": 967.05, "end": 968.11, "word": " M1", "probability": 0.623779296875}, {"start": 968.11, "end": 968.73, "word": " زي", 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119844, "start": 1168.88, "end": 1198.44, "text": "أثبتنا أن الـ sub-sequence هذه راحت لـ Normal Y و الـ M اللي هي الـ Y and M sub-sequence من YM و Normal YM ما أثبتناه في الأول بيروح لـ Zero إذا الـ Norm هذي إيش بيروح لمين؟ لـ Zero و احنا قلنا هنا الـ Y إيش ما لها؟ لأ تساوي سفر فصار في عندي Contradiction إذا الفرضية الأصلية مش صحيحة Hence اللي هو Therefore واحد is proved بمعنى آخر أنه لكل اللي هي", "tokens": [10721, 12984, 3555, 2655, 8315, 14739, 2423, 39184, 1422, 12, 11834, 655, 29538, 12602, 39319, 2655, 5296, 39184, 21277, 398, 4032, 2423, 39184, 376, 13672, 1829, 39896, 2423, 39184, 398, 293, 376, 1422, 12, 11834, 655, 9154, 398, 44, 4032, 21277, 398, 44, 19446, 5551, 12984, 3555, 2655, 8315, 3224, 8978, 16247, 12610, 4724, 13546, 2407, 5016, 5296, 39184, 17182, 11933, 15730, 2423, 39184, 8702, 8032, 8848, 1829, 11933, 1829, 8592, 4724, 13546, 2407, 5016, 32767, 9957, 22807, 5296, 39184, 17182, 4032, 1975, 5016, 8315, 12174, 1211, 8315, 34105, 2423, 39184, 398, 11933, 1829, 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بيساوي Alpha I على S الواحد اللي أثبتناها we get norm Alpha 1 على S Fix 1 زاد Alpha 2 على S Fix 2 زاد Alpha N عكس N أكبر بيساوي مين؟ C", "tokens": [3555, 47283, 3215, 2423, 39184, 502, 15844, 5551, 3794, 15042, 43761, 6225, 10943, 1211, 37893, 2655, 31747, 8978, 2423, 39184, 28811, 23758, 31439, 23758, 6156, 33599, 4724, 1829, 3794, 995, 45865, 4724, 1829, 3794, 995, 45865, 36764, 24401, 11933, 15730, 41850, 5551, 12984, 3555, 47395, 5296, 20292, 2423, 9861, 4724, 1829, 3794, 995, 45865, 36764, 24401, 11933, 15730, 28239, 19913, 2288, 10632, 20328, 5016, 1829, 5016, 3660, 46740, 24192, 1975, 3224, 23032, 1829, 3555, 538, 26441, 10861, 9861, 286, 4724, 1829, 3794, 995, 45865, 20588, 286, 15844, 318, 2423, 14407, 24401, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 11296, 321, 483, 2026, 20588, 502, 15844, 318, 25538, 502, 30767, 18513, 20588, 568, 15844, 318, 25538, 568, 30767, 18513, 20588, 426, 6225, 4117, 3794, 426, 5551, 4117, 26890, 4724, 1829, 3794, 995, 45865, 3714, 9957, 22807, 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1374.41, "word": " Alpha", "probability": 0.241943359375}, {"start": 1374.41, "end": 1374.87, "word": " 1", "probability": 0.7490234375}, {"start": 1374.87, "end": 1375.11, "word": " على", "probability": 0.88671875}, {"start": 1375.11, "end": 1375.49, "word": " S", "probability": 0.97607421875}, {"start": 1375.49, "end": 1376.25, "word": " Fix", "probability": 0.2420654296875}, {"start": 1376.25, "end": 1376.59, "word": " 1", "probability": 0.77880859375}, {"start": 1376.59, "end": 1376.87, "word": " زاد", "probability": 0.59912109375}, {"start": 1376.87, "end": 1377.07, "word": " Alpha", "probability": 0.95263671875}, {"start": 1377.07, "end": 1377.29, "word": " 2", "probability": 0.97021484375}, {"start": 1377.29, "end": 1377.47, "word": " على", "probability": 0.880859375}, {"start": 1377.47, "end": 1377.65, "word": " S", "probability": 0.97412109375}, {"start": 1377.65, "end": 1377.85, "word": " Fix", "probability": 0.89208984375}, {"start": 1377.85, "end": 1378.17, "word": " 2", 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بيتها لجهة النظرية المهمة هذه المهمة المنيحة و الحلوة هذه صار برهانها سهل الآن أو بسيط بالاستعانة بال .. بال .. بال ..", "tokens": [9566, 1829, 3555, 8717, 7435, 1829, 5296, 7649, 8717, 19913, 16572, 2655, 8315, 29538, 5296, 15042, 37495, 22653, 6225, 3555, 9640, 3660, 18871, 5551, 3215, 16606, 5296, 6027, 20292, 31439, 24976, 2407, 9381, 12610, 5296, 28814, 12984, 3555, 9307, 28239, 19913, 16572, 9307, 13672, 39319, 28671, 8717, 7435, 1829, 5296, 7649, 20328, 9640, 28239, 19913, 2288, 10632, 47525, 47283, 1211, 4724, 36081, 11296, 5296, 7435, 3224, 3660, 28239, 19913, 2288, 10632, 9673, 16095, 3660, 29538, 9673, 16095, 3660, 9673, 22653, 5016, 3660, 4032, 21542, 1211, 2407, 3660, 29538, 20328, 9640, 4724, 2288, 3224, 7649, 11296, 8608, 3224, 1211, 6024, 48506, 34051, 4724, 3794, 1829, 9566, 20666, 995, 14851, 3615, 7649, 3660, 20666, 4386, 20666, 4386, 20666, 4386], "avg_logprob": -0.20113877674280586, "compression_ratio": 2.085858585858586, "no_speech_prob": 3.039836883544922e-06, 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دي", "probability": 0.866943359375}, {"start": 1625.95, "end": 1626.33, "word": " لإن", "probability": 0.7840169270833334}, {"start": 1626.33, "end": 1626.59, "word": " from", "probability": 0.73095703125}, {"start": 1626.59, "end": 1627.13, "word": " this", "probability": 0.94873046875}, {"start": 1627.13, "end": 1627.49, "word": " and", "probability": 0.9384765625}, {"start": 1627.49, "end": 1627.77, "word": " by", "probability": 0.92919921875}, {"start": 1627.77, "end": 1628.21, "word": " لمة", "probability": 0.775146484375}, {"start": 1628.21, "end": 1628.63, "word": " اتنين", "probability": 0.80975341796875}, {"start": 1628.63, "end": 1628.95, "word": " اربعة", "probability": 0.7945963541666666}, {"start": 1628.95, "end": 1629.43, "word": " واحد", "probability": 0.95068359375}, {"start": 1629.43, "end": 1630.29, "word": " بنقدر", "probability": 0.9046223958333334}, {"start": 1630.29, "end": 1630.69, "word": " نلاقي", "probability": 0.8797200520833334}, {"start": 1630.69, "end": 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"word": " أكبر", "probability": 0.9715169270833334}, {"start": 1645.79, "end": 1645.93, "word": " من", "probability": 0.99462890625}, {"start": 1645.93, "end": 1646.07, "word": " 0", "probability": 0.82275390625}, {"start": 1646.07, "end": 1646.39, "word": " such", "probability": 0.87451171875}, {"start": 1646.39, "end": 1646.77, "word": " that", "probability": 0.9453125}, {"start": 1646.77, "end": 1648.01, "word": " YM", "probability": 0.3134765625}, {"start": 1648.01, "end": 1648.73, "word": " ناقص", "probability": 0.7852783203125}, {"start": 1648.73, "end": 1649.07, "word": " YR", "probability": 0.828125}, {"start": 1649.07, "end": 1649.27, "word": " زي", "probability": 0.96923828125}, {"start": 1649.27, "end": 1649.43, "word": " من", "probability": 0.9072265625}, {"start": 1649.43, "end": 1649.87, "word": " إبسنون،", "probability": 0.72515869140625}, {"start": 1649.87, "end": 1649.97, "word": " هي", "probability": 0.70263671875}, {"start": 1649.97, "end": 1650.53, "word": " الإبسنون", "probability": 0.9185546875}, {"start": 1650.53, "end": 1650.85, "word": " أكبر", "probability": 0.9873046875}, {"start": 1650.85, "end": 1650.95, "word": " من", "probability": 0.97998046875}, {"start": 1650.95, "end": 1651.27, "word": " YM", "probability": 0.93701171875}, {"start": 1651.27, "end": 1651.55, "word": " ناقص", "probability": 0.9932861328125}, {"start": 1651.55, "end": 1651.97, "word": " YR", "probability": 0.986328125}, {"start": 1651.97, "end": 1652.33, "word": " من", "probability": 0.9501953125}, {"start": 1652.33, "end": 1652.57, "word": " إنها", "probability": 0.5487060546875}, {"start": 1652.57, "end": 1653.33, "word": " قوشي،", "probability": 0.77998046875}, {"start": 1653.33, "end": 1653.47, "word": " هي", "probability": 0.42041015625}, {"start": 1653.47, "end": 1654.35, "word": " واحد،", "probability": 0.7801920572916666}, {"start": 1654.35, "end": 1654.61, "word": " الآن", "probability": 0.76171875}, {"start": 1654.61, "end": 1655.07, "word": " YM", 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absolute value لها هذول أصغر يعني ال summation هذا مضروب في C يعني ال summation هذا لحاله أصغر من يابسولون ع C إذا كل واحدة من اللي جوا أصغر من يابسولون على مين على C", "tokens": [11176, 18779, 300, 337, 604, 6806, 286, 5296, 28820, 36764, 24401, 3660, 9154, 8032, 3215, 12610, 3714, 3215, 10943, 2423, 28811, 23758, 23758, 2423, 28811, 3714, 11242, 32887, 3555, 8978, 383, 5551, 9381, 17082, 2288, 9154, 7251, 16758, 3794, 12610, 11536, 11933, 15730, 28242, 36764, 24401, 3660, 9154, 16095, 8236, 2158, 5296, 11296, 8032, 8848, 12610, 5551, 9381, 17082, 2288, 37495, 22653, 2423, 28811, 23758, 3714, 11242, 32887, 3555, 8978, 383, 37495, 22653, 2423, 28811, 23758, 5296, 5016, 6027, 3224, 5551, 9381, 17082, 2288, 9154, 7251, 16758, 3794, 12610, 11536, 6225, 383, 11933, 15730, 28242, 36764, 24401, 3660, 9154, 13672, 1829, 10874, 14407, 5551, 9381, 17082, 2288, 9154, 7251, 16758, 3794, 12610, 11536, 15844, 3714, 9957, 15844, 383], "avg_logprob": -0.20312499874780157, "compression_ratio": 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على", "probability": 0.5732421875}, {"start": 1730.24, "end": 1730.58, "word": " مين", "probability": 0.905517578125}, {"start": 1730.58, "end": 1731.16, "word": " على", "probability": 0.64599609375}, {"start": 1731.16, "end": 1731.36, "word": " C", "probability": 0.94140625}], "temperature": 1.0}, {"id": 77, "seek": 175129, "start": 1734.29, "end": 1751.29, "text": "then for any fixed I من الـ I هولا واحد و اتنين و ان ال sequence Alpha I M عبارة عن Alpha I واحد Alpha I اتنين Alpha I تلاتة هتكون يشمالها is a Cauchy sequence لإن لجينا كل أبساط أكبر من سفر لجينا K", "tokens": [19096, 337, 604, 6806, 286, 9154, 2423, 39184, 286, 8032, 12610, 995, 36764, 24401, 4032, 1975, 2655, 1863, 9957, 4032, 16472, 2423, 8310, 20588, 286, 376, 6225, 3555, 9640, 3660, 18871, 20588, 286, 36764, 24401, 20588, 286, 1975, 2655, 1863, 9957, 20588, 286, 6055, 1211, 9307, 3660, 8032, 2655, 30544, 7251, 8592, 2304, 6027, 11296, 307, 257, 7544, 625, 88, 8310, 5296, 28814, 1863, 5296, 7435, 1829, 8315, 28242, 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"word": " واحد", "probability": 0.57781982421875}, {"start": 1738.43, "end": 1738.55, "word": " و", "probability": 0.86181640625}, {"start": 1738.55, "end": 1738.77, "word": " اتنين", "probability": 0.80291748046875}, {"start": 1738.77, "end": 1738.89, "word": " و", "probability": 0.77734375}, {"start": 1738.89, "end": 1739.11, "word": " ان", "probability": 0.2188720703125}, {"start": 1739.11, "end": 1739.51, "word": " ال", "probability": 0.35986328125}, {"start": 1739.51, "end": 1740.09, "word": " sequence", "probability": 0.481201171875}, {"start": 1740.09, "end": 1740.59, "word": " Alpha", "probability": 0.2958984375}, {"start": 1740.59, "end": 1740.99, "word": " I", "probability": 0.513671875}, {"start": 1740.99, "end": 1741.39, "word": " M", "probability": 0.87109375}, {"start": 1741.39, "end": 1742.45, "word": " عبارة", "probability": 0.9437255859375}, {"start": 1742.45, "end": 1742.63, "word": " عن", "probability": 0.97607421875}, {"start": 1742.63, "end": 1742.95, "word": " 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"probability": 0.912109375}, {"start": 1747.37, "end": 1747.57, "word": " Cauchy", "probability": 0.9365234375}, {"start": 1747.57, "end": 1748.13, "word": " sequence", "probability": 0.755859375}, {"start": 1748.13, "end": 1748.71, "word": " لإن", "probability": 0.7862955729166666}, {"start": 1748.71, "end": 1748.97, "word": " لجينا", "probability": 0.7896728515625}, {"start": 1748.97, "end": 1749.21, "word": " كل", "probability": 0.830078125}, {"start": 1749.21, "end": 1749.47, "word": " أبساط", "probability": 0.4798583984375}, {"start": 1749.47, "end": 1749.71, "word": " أكبر", "probability": 0.8150227864583334}, {"start": 1749.71, "end": 1749.85, "word": " من", "probability": 0.99365234375}, {"start": 1749.85, "end": 1750.19, "word": " سفر", "probability": 0.8058268229166666}, {"start": 1750.19, "end": 1750.95, "word": " لجينا", "probability": 0.9752197265625}, {"start": 1750.95, "end": 1751.29, "word": " K", "probability": 0.7333984375}], "temperature": 1.0}, {"id": 78, "seek": 176846, "start": 1752.3, "end": 1768.46, "text": "بحيث أن الـ absolute value لهذه أصغر من Y على C for every M وR أكبر من الـ K يعني بمعنى أخر صارت الـ sequence هذه اللي هي هي ال sequence تبعتها هذه اللي هي ال entry تبعت ال sequence", "tokens": [49628, 1829, 12984, 14739, 2423, 39184, 8236, 2158, 46740, 24192, 5551, 9381, 17082, 2288, 9154, 398, 15844, 383, 337, 633, 376, 4032, 49, 5551, 4117, 26890, 9154, 2423, 39184, 591, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 20328, 9640, 2655, 2423, 39184, 8310, 29538, 13672, 1829, 39896, 39896, 2423, 8310, 6055, 3555, 34268, 11296, 29538, 13672, 1829, 39896, 2423, 8729, 6055, 3555, 34268, 2423, 8310], "avg_logprob": -0.32169118698905497, "compression_ratio": 1.576470588235294, "no_speech_prob": 4.76837158203125e-06, "words": [{"start": 1752.3, "end": 1752.9, "word": "بحيث", "probability": 0.91064453125}, {"start": 1752.9, "end": 1753.14, "word": " أن", "probability": 0.50146484375}, {"start": 1753.14, "end": 1753.84, "word": " الـ", "probability": 0.777587890625}, {"start": 1753.84, "end": 1754.2, "word": " absolute", "probability": 0.42138671875}, {"start": 1754.2, "end": 1754.82, "word": " value", "probability": 0.98681640625}, {"start": 1754.82, "end": 1755.42, "word": " لهذه", "probability": 0.87451171875}, {"start": 1755.42, "end": 1756.48, "word": " أصغر", "probability": 0.96826171875}, {"start": 1756.48, "end": 1756.64, "word": " من", "probability": 0.98193359375}, {"start": 1756.64, "end": 1757.0, "word": " Y", "probability": 0.138671875}, {"start": 1757.0, "end": 1757.4, "word": " على", "probability": 0.68603515625}, {"start": 1757.4, "end": 1757.68, "word": " C", "probability": 0.71240234375}, {"start": 1757.68, "end": 1757.98, "word": " for", "probability": 0.8251953125}, {"start": 1757.98, "end": 1758.3, "word": " every", "probability": 0.7314453125}, {"start": 1758.3, "end": 1758.82, "word": " M", "probability": 0.8310546875}, {"start": 1758.82, "end": 1759.44, "word": " وR", "probability": 0.710693359375}, {"start": 1759.44, "end": 1759.8, "word": " أكبر", "probability": 0.9554036458333334}, {"start": 1759.8, "end": 1760.02, "word": " من", "probability": 0.984375}, {"start": 1760.02, "end": 1760.26, "word": " الـ", "probability": 0.46728515625}, {"start": 1760.26, "end": 1761.04, "word": " K", "probability": 0.5205078125}, {"start": 1761.04, "end": 1761.78, "word": " يعني", "probability": 0.811279296875}, {"start": 1761.78, "end": 1762.1, "word": " بمعنى", "probability": 0.93916015625}, {"start": 1762.1, "end": 1762.4, "word": " أخر", "probability": 0.765625}, {"start": 1762.4, "end": 1762.86, "word": " صارت", "probability": 0.7684733072916666}, {"start": 1762.86, "end": 1763.08, "word": " الـ", "probability": 0.53662109375}, {"start": 1763.08, "end": 1763.6, "word": " sequence", "probability": 0.84326171875}, {"start": 1763.6, "end": 1764.16, "word": " هذه", "probability": 0.88720703125}, {"start": 1764.16, "end": 1764.72, "word": " اللي", "probability": 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