diff --git "a/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/EaC1QqfjIDE_raw.json" "b/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/EaC1QqfjIDE_raw.json"
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+++ "b/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/EaC1QqfjIDE_raw.json"
@@ -0,0 +1 @@
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{"start": 401.79, "end": 401.97, "word": " is", "probability": 0.95556640625}, {"start": 401.97, "end": 402.11, "word": " a", "probability": 0.8876953125}, {"start": 402.11, "end": 402.47, "word": " sequence", "probability": 0.96875}, {"start": 402.47, "end": 402.85, "word": " Xn", "probability": 0.5806884765625}, {"start": 402.85, "end": 403.03, "word": " of", "probability": 0.95703125}, {"start": 403.03, "end": 403.57, "word": " elements", "probability": 0.8896484375}, {"start": 403.57, "end": 404.19, "word": " in", "probability": 0.9365234375}, {"start": 404.19, "end": 404.51, "word": " M", "probability": 0.99560546875}, {"start": 404.51, "end": 404.93, "word": " such", "probability": 0.92236328125}, {"start": 404.93, "end": 405.19, "word": " that", "probability": 0.94482421875}, {"start": 405.19, "end": 405.51, "word": " Xn", "probability": 0.882568359375}, {"start": 405.51, "end": 405.79, "word": " بتروح", "probability": 0.9519856770833334}, {"start": 405.79, "end": 406.23, "word": " لمين", "probability": 0.8935546875}, {"start": 406.23, "end": 406.59, "word": " لل", "probability": 0.6875}, {"start": 406.59, "end": 406.77, "word": " X", "probability": 0.497314453125}, {"start": 406.77, "end": 406.97, "word": " هذا", "probability": 0.65771484375}, {"start": 406.97, "end": 407.41, "word": " مصارت", "probability": 0.7276611328125}, {"start": 407.41, "end": 407.83, "word": " محفوظة", "probability": 0.9138997395833334}, {"start": 407.83, "end": 407.95, "word": " يعني", "probability": 0.912109375}, {"start": 407.95, "end": 408.27, "word": " مفهوم", "probability": 0.89208984375}, {"start": 408.27, "end": 408.99, "word": " هذا", "probability": 0.837890625}], "temperature": 1.0}, {"id": 19, "seek": 43540, "start": 409.6, "end": 435.4, "text": "إذن however M is compact ما زم F is compact إذن every sequence has a convergent subsequence إذن then X element in M لأنه فيه لها subsequence سموها X and K بتروح لل X طب ما هي ال subsequence والsequence الأصلية بروح لنفس ال X معايا؟ إذن غصب عنها هتطلع ال X موجودة في ال M معناته then اللي هي M is enclosed طيب", "tokens": [28814, 8848, 1863, 4461, 376, 307, 14679, 19446, 30767, 2304, 479, 307, 14679, 11933, 8848, 1863, 633, 8310, 575, 257, 9652, 6930, 13924, 655, 11933, 8848, 1863, 550, 1783, 4478, 294, 376, 5296, 33456, 3224, 8978, 3224, 5296, 11296, 13924, 655, 8608, 2304, 2407, 11296, 1783, 293, 591, 39894, 32887, 5016, 24976, 1783, 23032, 3555, 19446, 39896, 2423, 13924, 655, 16070, 11834, 655, 16247, 9381, 20292, 3660, 4724, 32887, 5016, 5296, 1863, 36178, 2423, 1783, 20449, 995, 25528, 22807, 11933, 8848, 1863, 32771, 9381, 3555, 18871, 11296, 8032, 2655, 9566, 1211, 3615, 2423, 1783, 3714, 29245, 23328, 3660, 8978, 2423, 376, 20449, 8315, 47395, 550, 13672, 1829, 39896, 376, 307, 42089, 23032, 1829, 3555], "avg_logprob": -0.2653532530950463, "compression_ratio": 1.6431372549019607, "no_speech_prob": 3.355741500854492e-05, "words": [{"start": 409.6, "end": 409.94, "word": "إذن", "probability": 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{"start": 424.28, "end": 424.76, "word": " subsequence", "probability": 0.9853515625}, {"start": 424.76, "end": 425.26, "word": " والsequence", "probability": 0.6371256510416666}, {"start": 425.26, "end": 425.58, "word": " الأصلية", "probability": 0.6893310546875}, {"start": 425.58, "end": 425.72, "word": " بروح", "probability": 0.72998046875}, {"start": 425.72, "end": 425.96, "word": " لنفس", "probability": 0.7378743489583334}, {"start": 425.96, "end": 426.1, "word": " ال", "probability": 0.7978515625}, {"start": 426.1, "end": 426.44, "word": " X", "probability": 0.96875}, {"start": 426.44, "end": 427.62, "word": " معايا؟", "probability": 0.840087890625}, {"start": 427.62, "end": 427.96, "word": " إذن", "probability": 0.8614908854166666}, {"start": 427.96, "end": 428.28, "word": " غصب", "probability": 0.9775390625}, {"start": 428.28, "end": 428.92, "word": " عنها", "probability": 0.6053466796875}, {"start": 428.92, "end": 429.6, "word": " هتطلع", "probability": 0.879541015625}, {"start": 429.6, "end": 429.7, "word": " ال", "probability": 0.85888671875}, {"start": 429.7, "end": 429.86, "word": " X", "probability": 0.95556640625}, {"start": 429.86, "end": 430.44, "word": " موجودة", "probability": 0.8411865234375}, {"start": 430.44, "end": 430.54, "word": " في", "probability": 0.9716796875}, {"start": 430.54, "end": 430.66, "word": " ال", "probability": 0.572265625}, {"start": 430.66, "end": 430.86, "word": " M", "probability": 0.92724609375}, {"start": 430.86, "end": 431.82, "word": " معناته", "probability": 0.9781901041666666}, {"start": 431.82, "end": 432.12, "word": " then", "probability": 0.74853515625}, {"start": 432.12, "end": 432.5, "word": " اللي", "probability": 0.690185546875}, {"start": 432.5, "end": 432.8, "word": " هي", "probability": 0.7958984375}, {"start": 432.8, "end": 433.22, "word": " M", "probability": 0.9580078125}, {"start": 433.22, "end": 433.72, "word": " is", "probability": 0.96728515625}, {"start": 433.72, "end": 434.38, "word": " enclosed", "probability": 0.625}, {"start": 434.38, "end": 435.4, "word": " طيب", "probability": 0.8863932291666666}], "temperature": 1.0}, {"id": 20, "seek": 45619, "start": 436.27, "end": 456.19, "text": "بدنا نثبت الأن إيه شمالها is bounded بدنا نفترض العكس suppose that M is not bounded مدام bounded طب إحنا إذا بتتذكر شو معناه bounded أنه ال diameter ال diameter ال diameter ل ماعرفش كيف أقولنا عنه ال diameter ل اللي هو ال M بساوي ال supremum", "tokens": [3555, 3215, 8315, 8717, 12984, 3555, 2655, 16247, 1863, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 307, 37498, 47525, 8315, 8717, 5172, 2655, 43042, 18863, 4117, 3794, 7297, 300, 376, 307, 406, 37498, 3714, 3215, 10943, 37498, 23032, 3555, 11933, 5016, 8315, 11933, 15730, 39894, 2655, 8848, 37983, 13412, 2407, 20449, 8315, 3224, 37498, 14739, 3224, 2423, 14196, 2423, 14196, 2423, 14196, 5296, 19446, 3615, 28480, 8592, 9122, 33911, 5551, 39648, 8315, 18871, 3224, 2423, 14196, 5296, 13672, 1829, 31439, 2423, 376, 4724, 3794, 995, 45865, 2423, 23710, 449], "avg_logprob": -0.2887152642011642, "compression_ratio": 1.697560975609756, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 436.27, "end": 436.57, "word": "بدنا", "probability": 0.3756103515625}, {"start": 436.57, "end": 436.89, "word": " نثبت", "probability": 0.9892578125}, {"start": 436.89, "end": 437.09, "word": " الأن", "probability": 0.7115478515625}, {"start": 437.09, "end": 437.27, "word": " إيه", "probability": 0.6725260416666666}, {"start": 437.27, "end": 437.69, "word": " شمالها", "probability": 0.84063720703125}, {"start": 437.69, "end": 438.33, "word": " is", "probability": 0.54931640625}, {"start": 438.33, "end": 438.67, "word": " bounded", "probability": 0.88916015625}, {"start": 438.67, "end": 439.23, "word": " بدنا", "probability": 0.684326171875}, {"start": 439.23, "end": 439.61, "word": " نفترض", "probability": 0.9918212890625}, {"start": 439.61, "end": 440.25, "word": " العكس", "probability": 0.97998046875}, {"start": 440.25, "end": 440.89, "word": " suppose", "probability": 0.52978515625}, {"start": 440.89, "end": 441.51, "word": " that", "probability": 0.84521484375}, {"start": 441.51, "end": 441.75, "word": " M", "probability": 0.61669921875}, {"start": 441.75, "end": 441.95, "word": " is", "probability": 0.93994140625}, {"start": 441.95, "end": 442.19, "word": " not", "probability": 0.95654296875}, {"start": 442.19, "end": 442.67, "word": " bounded", "probability": 0.90478515625}, {"start": 442.67, "end": 443.53, "word": " مدام", "probability": 0.533935546875}, {"start": 443.53, "end": 443.85, "word": " bounded", "probability": 0.7578125}, {"start": 443.85, "end": 444.03, "word": " طب", "probability": 0.90087890625}, {"start": 444.03, "end": 444.21, "word": " إحنا", "probability": 0.75244140625}, {"start": 444.21, "end": 444.63, "word": " إذا", "probability": 0.947265625}, {"start": 444.63, "end": 445.09, "word": " بتتذكر", "probability": 0.84918212890625}, {"start": 445.09, "end": 445.29, "word": " 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0.98388671875}, {"start": 451.63, "end": 452.57, "word": " أقولنا", "probability": 0.5980021158854166}, {"start": 452.57, "end": 452.77, "word": " عنه", "probability": 0.94775390625}, {"start": 452.77, "end": 452.83, "word": " ال", "probability": 0.97509765625}, {"start": 452.83, "end": 453.17, "word": " diameter", "probability": 0.89892578125}, {"start": 453.17, "end": 453.45, "word": " ل", "probability": 0.9658203125}, {"start": 453.45, "end": 453.99, "word": " اللي", "probability": 0.65673828125}, {"start": 453.99, "end": 454.15, "word": " هو", "probability": 0.98779296875}, {"start": 454.15, "end": 454.25, "word": " ال", "probability": 0.72705078125}, {"start": 454.25, "end": 454.55, "word": " M", "probability": 0.9423828125}, {"start": 454.55, "end": 455.37, "word": " بساوي", "probability": 0.8173828125}, {"start": 455.37, "end": 455.55, "word": " ال", "probability": 0.364501953125}, {"start": 455.55, "end": 456.19, "word": " supremum", "probability": 0.76416015625}], "temperature": 1.0}, {"id": 21, "seek": 47389, "start": 457.65, "end": 473.89, "text": "لـDXY لكل الـX وY الموجودة في الـM هذا الـDiameter من الـM بنقول عنها bounded وكان الـDiameter نفسه ماهو؟ is finite يعني الـSupermom ماهو؟ is finite يعني الآن لو أي sequence هنا في الـM", "tokens": [1211, 39184, 35, 55, 56, 5296, 28820, 2423, 39184, 55, 4032, 56, 9673, 29245, 23328, 3660, 8978, 2423, 39184, 44, 23758, 2423, 39184, 35, 2918, 2398, 9154, 2423, 39184, 44, 4724, 1863, 39648, 18871, 11296, 37498, 4032, 41361, 2423, 39184, 35, 2918, 2398, 8717, 36178, 3224, 19446, 3224, 2407, 22807, 307, 19362, 37495, 22653, 2423, 39184, 30152, 42544, 19446, 3224, 2407, 22807, 307, 19362, 37495, 22653, 6024, 48506, 45164, 36632, 8310, 34105, 8978, 2423, 39184, 44], "avg_logprob": -0.386160726671095, "compression_ratio": 1.5714285714285714, "no_speech_prob": 4.4286251068115234e-05, "words": [{"start": 457.65000000000003, "end": 458.53000000000003, "word": "لـDXY", "probability": 0.50703125}, {"start": 458.53000000000003, "end": 459.41, "word": " لكل", "probability": 0.833740234375}, {"start": 459.41, "end": 459.81, "word": " الـX", "probability": 0.56640625}, {"start": 459.81, "end": 460.37, "word": " وY", "probability": 0.705810546875}, {"start": 460.37, "end": 461.37, "word": " الموجودة", "probability": 0.7318115234375}, {"start": 461.37, "end": 461.79, "word": " في", "probability": 0.8740234375}, {"start": 461.79, "end": 462.03, "word": " الـM", "probability": 0.85693359375}, {"start": 462.03, "end": 462.23, "word": " هذا", "probability": 0.278564453125}, {"start": 462.23, "end": 462.67, "word": " الـDiameter", "probability": 0.77451171875}, {"start": 462.67, "end": 462.83, "word": " من", "probability": 0.12548828125}, {"start": 462.83, "end": 462.99, "word": " الـM", "probability": 0.8444010416666666}, {"start": 462.99, "end": 463.69, "word": " بنقول", "probability": 0.5707194010416666}, {"start": 463.69, "end": 463.99, "word": " عنها", "probability": 0.8955078125}, {"start": 463.99, "end": 464.37, "word": " bounded", "probability": 0.5712890625}, {"start": 464.37, "end": 464.71, "word": " وكان", "probability": 0.6083984375}, {"start": 464.71, "end": 465.29, "word": " الـDiameter", "probability": 0.833203125}, {"start": 465.29, "end": 465.59, "word": " نفسه", "probability": 0.9612630208333334}, {"start": 465.59, "end": 466.73, "word": " ماهو؟", "probability": 0.4188232421875}, {"start": 466.73, "end": 467.21, "word": " is", "probability": 0.1578369140625}, {"start": 467.21, "end": 467.61, "word": " finite", "probability": 0.978515625}, {"start": 467.61, "end": 467.85, "word": " يعني", "probability": 0.798095703125}, {"start": 467.85, "end": 468.41, "word": " الـSupermom", "probability": 0.580810546875}, {"start": 468.41, "end": 469.17, "word": " ماهو؟", "probability": 0.9486083984375}, {"start": 469.17, "end": 469.65, "word": " is", "probability": 0.82177734375}, {"start": 469.65, "end": 470.23, "word": " finite", "probability": 0.978515625}, {"start": 470.23, "end": 471.01, "word": " يعني", "probability": 0.9462890625}, {"start": 471.01, "end": 471.57, "word": " الآن", "probability": 0.783935546875}, {"start": 471.57, "end": 472.23, "word": " لو", "probability": 0.701171875}, {"start": 472.23, "end": 472.49, "word": " أي", "probability": 0.70654296875}, {"start": 472.49, "end": 473.07, "word": " sequence", "probability": 0.57861328125}, {"start": 473.07, "end": 473.37, "word": " هنا", "probability": 0.95556640625}, {"start": 473.37, "end": 473.53, "word": " في", "probability": 0.98193359375}, {"start": 473.53, "end": 473.89, "word": " الـM", "probability": 0.9739583333333334}], "temperature": 1.0}, {"id": 22, "seek": 49377, "start": 474.51, "end": 493.77, "text": "لازم المسافة بين الـ sequence هذه وبين أي element هنا يكون إيش مالوفاينات، ماينفعش اللي هو يكبر، يروح لما لا نهاية، لأن لو بدأ أفترض، لو بدأ أفترض الآن أن M is not bounded، suppose that M is not bounded، معناته ال supermom هذا بيروح لمين؟ لما لا نهاية،", "tokens": [1211, 31377, 2304, 9673, 3794, 31845, 3660, 49374, 2423, 39184, 8310, 29538, 46599, 9957, 36632, 4478, 34105, 7251, 30544, 11933, 1829, 8592, 3714, 6027, 38688, 995, 9957, 9307, 12399, 19446, 9957, 5172, 3615, 8592, 13672, 1829, 31439, 7251, 4117, 26890, 12399, 7251, 32887, 5016, 5296, 15042, 20193, 8717, 11296, 10632, 12399, 5296, 33456, 45164, 47525, 10721, 5551, 5172, 2655, 43042, 12399, 45164, 47525, 10721, 5551, 5172, 2655, 43042, 6024, 48506, 14739, 376, 307, 406, 37498, 12399, 7297, 300, 376, 307, 406, 37498, 12399, 20449, 8315, 47395, 2423, 1687, 42544, 23758, 4724, 13546, 2407, 5016, 32767, 9957, 22807, 5296, 15042, 20193, 8717, 11296, 10632, 12399], "avg_logprob": -0.34255951699756443, "compression_ratio": 1.7292576419213974, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 474.51, "end": 474.93, "word": "لازم", "probability": 0.7920735677083334}, {"start": 474.93, "end": 475.47, "word": " المسافة", "probability": 0.9681396484375}, {"start": 475.47, "end": 475.67, "word": " بين", "probability": 0.95751953125}, {"start": 475.67, "end": 475.83, "word": " الـ", "probability": 0.802001953125}, {"start": 475.83, "end": 476.15, "word": " sequence", "probability": 0.55322265625}, {"start": 476.15, "end": 476.35, "word": " هذه", "probability": 0.333740234375}, {"start": 476.35, "end": 476.61, "word": " وبين", "probability": 0.765869140625}, {"start": 476.61, "end": 476.79, "word": " أي", "probability": 0.8515625}, {"start": 476.79, "end": 477.13, "word": " element", "probability": 0.93310546875}, {"start": 477.13, "end": 477.57, "word": " هنا", "probability": 0.90380859375}, {"start": 477.57, "end": 478.29, "word": " يكون", "probability": 0.780029296875}, {"start": 478.29, "end": 478.49, "word": " إيش", "probability": 0.5538736979166666}, {"start": 478.49, "end": 479.21, "word": " مالوفاينات،", "probability": 0.4705287388392857}, {"start": 479.21, "end": 479.63, "word": " ماينفعش", "probability": 0.875439453125}, {"start": 479.63, "end": 479.75, "word": " اللي", "probability": 0.77001953125}, {"start": 479.75, "end": 479.91, "word": " هو", "probability": 0.9765625}, {"start": 479.91, "end": 481.37, "word": " يكبر،", "probability": 0.69097900390625}, {"start": 481.37, "end": 481.77, "word": " يروح", "probability": 0.7373046875}, {"start": 481.77, "end": 481.97, "word": " لما", "probability": 0.5787353515625}, {"start": 481.97, "end": 482.07, "word": " لا", "probability": 0.5966796875}, {"start": 482.07, "end": 482.97, "word": " نهاية،", "probability": 0.780029296875}, {"start": 482.97, "end": 483.21, "word": " لأن", "probability": 0.438232421875}, {"start": 483.21, "end": 483.39, "word": " لو", "probability": 0.9775390625}, {"start": 483.39, "end": 483.79, "word": " بدأ", "probability": 0.67041015625}, {"start": 483.79, "end": 485.27, "word": " أفترض،", "probability": 0.7607421875}, {"start": 485.27, "end": 485.53, "word": " لو", "probability": 0.703125}, {"start": 485.53, "end": 485.85, "word": " بدأ", "probability": 0.902587890625}, {"start": 485.85, "end": 486.35, "word": " أفترض", "probability": 0.9732666015625}, {"start": 486.35, "end": 486.85, "word": " الآن", "probability": 0.5985107421875}, {"start": 486.85, "end": 487.33, "word": " أن", "probability": 0.485107421875}, {"start": 487.33, "end": 487.75, "word": " M", "probability": 0.349365234375}, {"start": 487.75, "end": 488.09, "word": " is", "probability": 0.92822265625}, {"start": 488.09, "end": 488.43, "word": " not", "probability": 0.96044921875}, {"start": 488.43, "end": 489.25, "word": " bounded،", "probability": 0.6826171875}, {"start": 489.25, "end": 489.53, "word": " suppose", "probability": 0.71337890625}, {"start": 489.53, "end": 489.81, "word": " that", "probability": 0.91162109375}, {"start": 489.81, "end": 489.97, "word": " M", "probability": 0.94384765625}, {"start": 489.97, "end": 490.11, "word": " is", "probability": 0.962890625}, {"start": 490.11, "end": 490.29, "word": " not", "probability": 0.96240234375}, {"start": 490.29, "end": 491.09, "word": " bounded،", "probability": 0.9150390625}, {"start": 491.09, "end": 491.47, "word": " معناته", "probability": 0.921875}, {"start": 491.47, "end": 491.59, "word": " ال", "probability": 0.58837890625}, {"start": 491.59, "end": 491.93, "word": " supermom", "probability": 0.54052734375}, {"start": 491.93, "end": 492.13, "word": " هذا", "probability": 0.48583984375}, {"start": 492.13, "end": 492.39, "word": " بيروح", "probability": 0.93505859375}, {"start": 492.39, "end": 492.75, "word": " لمين؟", "probability": 0.76025390625}, {"start": 492.75, "end": 492.97, "word": " لما", "probability": 0.75390625}, {"start": 492.97, "end": 493.07, "word": " لا", "probability": 0.962890625}, {"start": 493.07, "end": 493.77, "word": " نهاية،", "probability": 0.906982421875}], "temperature": 1.0}, {"id": 23, "seek": 51358, "start": 493.96, "end": 513.58, "text": "معناته أكيد أكيد أكيد أكيد لازم ألاقي unbounded sequence YN بحيث أن المسافة بين YN و B تكون إيه شمالها أكبر من N لأنه لو مالجيتش معناته أنه حيصير إيش كل المسافات الصغيرة معناته سارة اللي هو إيه إيه إيش ال superman موجود معناته superman finite وانا بقول نفترض", "tokens": [2304, 3615, 8315, 47395, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5296, 31377, 2304, 5551, 15040, 38436, 517, 18767, 292, 8310, 398, 45, 4724, 5016, 1829, 12984, 14739, 9673, 3794, 31845, 3660, 49374, 398, 45, 4032, 363, 6055, 30544, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 5551, 4117, 26890, 9154, 426, 5296, 33456, 3224, 45164, 3714, 6027, 7435, 36081, 8592, 20449, 8315, 47395, 14739, 3224, 11331, 1829, 9381, 13546, 11933, 1829, 8592, 28242, 9673, 3794, 31845, 9307, 31767, 17082, 48923, 20449, 8315, 47395, 8608, 9640, 3660, 13672, 1829, 31439, 11933, 1829, 3224, 11933, 1829, 3224, 11933, 1829, 8592, 2423, 1687, 1601, 3714, 29245, 23328, 20449, 8315, 47395, 1687, 1601, 19362, 4032, 7649, 995, 4724, 39648, 8717, 5172, 2655, 43042], "avg_logprob": -0.2448750066757202, "compression_ratio": 1.8076923076923077, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 493.96, "end": 494.44, "word": "معناته", "probability": 0.9212646484375}, {"start": 494.44, "end": 494.9, "word": " أكيد", "probability": 0.8474934895833334}, {"start": 494.9, "end": 495.4, "word": " أكيد", "probability": 0.8566080729166666}, {"start": 495.4, "end": 495.82, "word": " أكيد", "probability": 0.9697265625}, {"start": 495.82, "end": 496.28, "word": " أكيد", "probability": 0.9640299479166666}, {"start": 496.28, "end": 497.14, "word": " لازم", "probability": 0.9685872395833334}, {"start": 497.14, "end": 497.68, "word": " ألاقي", "probability": 0.8004557291666666}, {"start": 497.68, "end": 498.74, "word": " unbounded", "probability": 0.760009765625}, {"start": 498.74, "end": 499.22, "word": " sequence", "probability": 0.94580078125}, {"start": 499.22, "end": 499.78, "word": " YN", "probability": 0.2789306640625}, {"start": 499.78, "end": 500.78, "word": " بحيث", "probability": 0.7994384765625}, {"start": 500.78, "end": 500.92, "word": " أن", "probability": 0.65478515625}, {"start": 500.92, "end": 501.46, "word": " المسافة", "probability": 0.9334716796875}, {"start": 501.46, "end": 501.64, "word": " بين", "probability": 0.89306640625}, {"start": 501.64, "end": 502.08, "word": " YN", "probability": 0.95263671875}, {"start": 502.08, "end": 502.2, "word": " و", "probability": 0.92529296875}, {"start": 502.2, "end": 502.36, "word": " B", "probability": 0.4921875}, {"start": 502.36, "end": 502.68, "word": " تكون", "probability": 0.875}, {"start": 502.68, "end": 502.9, "word": " إيه", "probability": 0.8133138020833334}, {"start": 502.9, "end": 503.36, "word": " شمالها", "probability": 0.82159423828125}, {"start": 503.36, "end": 504.02, "word": " أكبر", "probability": 0.9143880208333334}, {"start": 504.02, "end": 504.2, "word": " من", "probability": 0.9833984375}, {"start": 504.2, "end": 504.42, "word": " N", "probability": 0.88427734375}, {"start": 504.42, "end": 505.4, "word": " لأنه", "probability": 0.79345703125}, {"start": 505.4, "end": 505.46, "word": " لو", "probability": 0.3291015625}, {"start": 505.46, "end": 505.9, "word": " مالجيتش", "probability": 0.805126953125}, {"start": 505.9, "end": 506.26, "word": " معناته", "probability": 0.9449869791666666}, {"start": 506.26, "end": 506.42, "word": " أنه", "probability": 0.796630859375}, {"start": 506.42, "end": 506.76, "word": " حيصير", "probability": 0.7991943359375}, {"start": 506.76, "end": 506.94, "word": " إيش", "probability": 0.6336263020833334}, {"start": 506.94, "end": 507.14, "word": " كل", "probability": 0.93408203125}, {"start": 507.14, "end": 507.66, "word": " المسافات", "probability": 0.9849853515625}, {"start": 507.66, "end": 507.94, "word": " الصغيرة", "probability": 0.9560546875}, {"start": 507.94, "end": 508.22, "word": " معناته", "probability": 0.8880208333333334}, {"start": 508.22, "end": 508.48, "word": " سارة", "probability": 0.498046875}, {"start": 508.48, "end": 509.0, "word": " اللي", "probability": 0.91357421875}, {"start": 509.0, "end": 509.16, "word": " هو", "probability": 0.98388671875}, {"start": 509.16, "end": 509.34, "word": " إيه", "probability": 0.7705078125}, {"start": 509.34, "end": 509.42, "word": " إيه", "probability": 0.6417643229166666}, {"start": 509.42, "end": 509.54, "word": " إيش", "probability": 0.6526692708333334}, {"start": 509.54, "end": 509.8, "word": " ال", "probability": 0.587890625}, {"start": 509.8, "end": 510.16, "word": " superman", "probability": 0.347442626953125}, {"start": 510.16, "end": 510.5, "word": " موجود", "probability": 0.9850260416666666}, {"start": 510.5, "end": 510.78, "word": " معناته", "probability": 0.8885091145833334}, {"start": 510.78, "end": 511.16, "word": " superman", "probability": 0.841552734375}, {"start": 511.16, "end": 511.5, "word": " finite", "probability": 0.984375}, {"start": 511.5, "end": 511.96, "word": " وانا", "probability": 0.6605631510416666}, {"start": 511.96, "end": 512.36, "word": " بقول", "probability": 0.991455078125}, {"start": 512.36, "end": 513.58, "word": " نفترض", "probability": 0.9825439453125}], "temperature": 1.0}, {"id": 24, "seek": 53512, "start": 513.96, "end": 535.12, "text": "إنه Unbounded يعني السبري ما معمله بيروح إلى ما لا نهاية معايا إذا لازم نلاقي subsequence أو unbounded sequence yn بحيث المسافة بين yn و b أكبر من اللي هو الان where b is any fixed element زي ما قلنا هنس yn إشمالها has not a bounded subsequence", "tokens": [28814, 1863, 3224, 1156, 18767, 292, 37495, 22653, 21136, 3555, 16572, 19446, 20449, 42213, 3224, 4724, 13546, 2407, 5016, 30731, 19446, 20193, 8717, 11296, 10632, 20449, 995, 25528, 11933, 15730, 5296, 31377, 2304, 8717, 15040, 38436, 13924, 655, 34051, 517, 18767, 292, 8310, 17861, 4724, 5016, 1829, 12984, 9673, 3794, 31845, 3660, 49374, 17861, 4032, 272, 5551, 4117, 26890, 9154, 13672, 1829, 31439, 2423, 7649, 689, 272, 307, 604, 6806, 4478, 30767, 1829, 19446, 12174, 1211, 8315, 8032, 1863, 3794, 17861, 11933, 8592, 2304, 6027, 11296, 575, 406, 257, 37498, 13924, 655], "avg_logprob": -0.289146509221805, "compression_ratio": 1.6009174311926606, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 513.96, "end": 514.46, "word": "إنه", "probability": 0.63409423828125}, {"start": 514.46, "end": 515.22, "word": " Unbounded", "probability": 0.7520345052083334}, {"start": 515.22, "end": 515.48, "word": " يعني", "probability": 0.882568359375}, {"start": 515.48, "end": 515.9, "word": " السبري", "probability": 0.6029459635416666}, {"start": 515.9, "end": 516.04, "word": " ما", "probability": 0.28369140625}, {"start": 516.04, "end": 516.5, "word": " معمله", "probability": 0.7259114583333334}, {"start": 516.5, "end": 516.76, "word": " بيروح", "probability": 0.7786865234375}, {"start": 516.76, "end": 516.92, "word": " إلى", "probability": 0.87890625}, {"start": 516.92, "end": 517.08, "word": " ما", "probability": 0.9296875}, {"start": 517.08, "end": 517.18, "word": " لا", "probability": 0.452392578125}, {"start": 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five سببه إن المسافات بين العناصر جدر التنين إذن المسافات بين العناصر اللي هنا", "tokens": [33, 2195, 36632, 13672, 1829, 31439, 2594, 15244, 4724, 10721, 1829, 8717, 9381, 16490, 9566, 2288, 13412, 26895, 3224, 9154, 11296, 18863, 1863, 9381, 2288, 23758, 6055, 47432, 5016, 11296, 20449, 2423, 376, 5296, 31377, 2304, 11933, 1829, 8592, 5296, 43761, 22807, 20193, 7251, 3794, 995, 45865, 1732, 5296, 7435, 2655, 23275, 2304, 13672, 1829, 31439, 8717, 9381, 16490, 9566, 2288, 36764, 24401, 4032, 8717, 9381, 4032, 12602, 3555, 3615, 28242, 4724, 25957, 1211, 36145, 3224, 363, 2195, 31439, 36764, 24401, 34051, 8717, 9381, 34051, 12602, 3555, 3615, 13412, 26895, 3224, 9154, 3224, 15244, 6055, 47432, 3615, 46740, 37893, 4724, 1829, 3794, 995, 45865, 1732, 8608, 3555, 3555, 3224, 36145, 9673, 3794, 31845, 9307, 49374, 18863, 1863, 33546, 2288, 10874, 3215, 2288, 16712, 1863, 9957, 11933, 8848, 1863, 9673, 3794, 31845, 9307, 49374, 18863, 1863, 33546, 2288, 13672, 1829, 34105], "avg_logprob": 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0.9859619140625}, {"start": 955.61, "end": 955.77, "word": " بين", "probability": 0.95849609375}, {"start": 955.77, "end": 956.35, "word": " العناصر", "probability": 0.9755859375}, {"start": 956.35, "end": 956.53, "word": " اللي", "probability": 0.9736328125}, {"start": 956.53, "end": 956.83, "word": " هنا", "probability": 0.931640625}], "temperature": 1.0}, {"id": 44, "seek": 97258, "start": 957.72, "end": 972.58, "text": "لو بدي اكون في عنصر من M اشمله لازم تاخد هذا اتنين او تلاتة او اربعة او خمسة فاهمين؟ طيب صار عندي الان hence any point in M can't be an accumulation point", "tokens": [1211, 2407, 4724, 16254, 1975, 30544, 8978, 18871, 9381, 2288, 9154, 376, 1975, 8592, 42213, 3224, 5296, 31377, 2304, 6055, 47283, 3215, 23758, 1975, 2655, 1863, 9957, 1975, 2407, 6055, 1211, 9307, 3660, 1975, 2407, 1975, 25513, 27884, 1975, 2407, 16490, 2304, 3794, 3660, 6156, 995, 16095, 9957, 22807, 23032, 1829, 3555, 20328, 9640, 18871, 16254, 2423, 7649, 16678, 604, 935, 294, 376, 393, 380, 312, 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هذا", "probability": 0.426513671875}, {"start": 963.36, "end": 964.38, "word": " اتنين", "probability": 0.79736328125}, {"start": 964.38, "end": 964.5, "word": " او", "probability": 0.947265625}, {"start": 964.5, "end": 964.92, "word": " تلاتة", "probability": 0.9207763671875}, {"start": 964.92, "end": 965.02, "word": " او", "probability": 0.962646484375}, {"start": 965.02, "end": 965.3, "word": " اربعة", "probability": 0.83154296875}, {"start": 965.3, "end": 965.42, "word": " او", "probability": 0.9521484375}, {"start": 965.42, "end": 965.94, "word": " خمسة", "probability": 0.9735107421875}, {"start": 965.94, "end": 967.22, "word": " فاهمين؟", "probability": 0.8138671875}, {"start": 967.22, "end": 967.54, "word": " طيب", "probability": 0.8854166666666666}, {"start": 967.54, "end": 968.06, "word": " صار", "probability": 0.862060546875}, {"start": 968.06, "end": 968.38, "word": " عندي", "probability": 0.762939453125}, {"start": 968.38, "end": 968.76, "word": " الان", "probability": 0.6710205078125}, {"start": 968.76, "end": 969.52, "word": " hence", "probability": 0.5498046875}, {"start": 969.52, "end": 970.16, "word": " any", "probability": 0.73046875}, {"start": 970.16, "end": 970.56, "word": " point", "probability": 0.9921875}, {"start": 970.56, "end": 970.74, "word": " in", "probability": 0.91796875}, {"start": 970.74, "end": 971.0, "word": " M", "probability": 0.9697265625}, {"start": 971.0, "end": 971.42, "word": " can't", "probability": 0.890380859375}, {"start": 971.42, "end": 971.58, "word": " be", "probability": 0.9677734375}, {"start": 971.58, "end": 971.72, "word": " an", "probability": 0.7626953125}, {"start": 971.72, "end": 972.08, "word": " accumulation", "probability": 0.990234375}, {"start": 972.08, "end": 972.58, "word": " point", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 45, "seek": 99788, "start": 973.4, "end": 997.88, "text": "second اللي ضال we show that any point in M complement يعني براة الـ M في الـ L2 بس مش في الـ M complement can't be an accumulation point ماشي في سؤال اللي هو 13 Problem 6 كان بيقولنا إذا كانت النقطة accumulation point بدي يكون أي neighborhood حوالين النقطة تقاطع مع الـ M هيكون infinite number of dots", "tokens": [27375, 13672, 1829, 48812, 6027, 321, 855, 300, 604, 935, 294, 376, 17103, 37495, 22653, 4724, 23557, 3660, 2423, 39184, 376, 8978, 2423, 39184, 441, 17, 4724, 3794, 37893, 8978, 2423, 39184, 376, 17103, 393, 380, 312, 364, 35647, 935, 3714, 33599, 1829, 8978, 8608, 33604, 6027, 13672, 1829, 31439, 3705, 11676, 1386, 25961, 4724, 1829, 39648, 8315, 11933, 15730, 25961, 2655, 28239, 47432, 3660, 35647, 935, 4724, 16254, 7251, 30544, 36632, 7630, 11331, 2407, 6027, 9957, 28239, 47432, 3660, 6055, 4587, 41193, 3615, 20449, 2423, 39184, 376, 39896, 30544, 13785, 1230, 295, 15026], "avg_logprob": -0.21513157173206932, "compression_ratio": 1.579150579150579, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 973.4000000000001, "end": 974.08, "word": "second", "probability": 0.10638427734375}, {"start": 974.08, "end": 974.76, "word": " اللي", "probability": 0.895263671875}, {"start": 974.76, "end": 975.08, "word": " ضال", "probability": 0.7049560546875}, {"start": 975.08, "end": 975.54, "word": " we", "probability": 0.301513671875}, {"start": 975.54, "end": 975.8, "word": " show", "probability": 0.92138671875}, {"start": 975.8, "end": 976.1, "word": " that", "probability": 0.94384765625}, {"start": 976.1, "end": 976.34, "word": " any", "probability": 0.83154296875}, {"start": 976.34, "end": 976.74, "word": " point", "probability": 0.98779296875}, {"start": 976.74, "end": 977.02, "word": " in", "probability": 0.94775390625}, {"start": 977.02, "end": 977.18, "word": " M", "probability": 0.77490234375}, {"start": 977.18, "end": 977.66, "word": " complement", "probability": 0.671875}, {"start": 977.66, "end": 978.0, "word": " يعني", "probability": 0.864013671875}, {"start": 978.0, "end": 978.36, "word": " براة", "probability": 0.77294921875}, {"start": 978.36, "end": 978.52, "word": " الـ", "probability": 0.768310546875}, {"start": 978.52, "end": 978.6, "word": " M", "probability": 0.55615234375}, {"start": 978.6, "end": 978.72, "word": " في", "probability": 0.57568359375}, {"start": 978.72, "end": 978.84, "word": " الـ", "probability": 0.74658203125}, {"start": 978.84, "end": 979.0, "word": " L2", "probability": 0.798828125}, {"start": 979.0, "end": 979.18, "word": " بس", "probability": 0.968505859375}, {"start": 979.18, "end": 979.28, "word": " مش", "probability": 0.98291015625}, {"start": 979.28, "end": 979.38, "word": " في", "probability": 0.8291015625}, {"start": 979.38, "end": 979.48, "word": " الـ", "probability": 0.92041015625}, {"start": 979.48, "end": 979.56, "word": " M", "probability": 0.8955078125}, {"start": 979.56, "end": 980.08, "word": " complement", "probability": 0.853515625}, {"start": 980.08, "end": 980.92, "word": " can't", "probability": 0.82373046875}, {"start": 980.92, "end": 981.16, "word": " be", "probability": 0.9697265625}, {"start": 981.16, "end": 981.4, "word": " an", "probability": 0.61279296875}, {"start": 981.4, "end": 981.74, "word": " accumulation", "probability": 0.9873046875}, {"start": 981.74, "end": 982.36, "word": " point", "probability": 0.9853515625}, {"start": 982.36, "end": 983.1, "word": " ماشي", "probability": 0.769287109375}, {"start": 983.1, "end": 983.86, "word": " في", "probability": 0.404541015625}, {"start": 983.86, "end": 984.8, "word": " سؤال", "probability": 0.9915364583333334}, {"start": 984.8, "end": 985.44, "word": " اللي", "probability": 0.927978515625}, {"start": 985.44, "end": 985.6, "word": " هو", "probability": 0.98876953125}, {"start": 985.6, "end": 986.0, "word": " 13", "probability": 0.7490234375}, {"start": 986.0, "end": 986.54, "word": " Problem", "probability": 0.31591796875}, {"start": 986.54, "end": 987.06, "word": " 6", "probability": 0.94775390625}, {"start": 987.06, "end": 987.86, "word": " كان", "probability": 0.9619140625}, {"start": 987.86, "end": 988.32, "word": " بيقولنا", "probability": 0.973876953125}, {"start": 988.32, "end": 988.52, "word": " إذا", "probability": 0.903076171875}, {"start": 988.52, "end": 988.84, "word": " كانت", "probability": 0.98388671875}, {"start": 988.84, "end": 989.14, "word": " النقطة", "probability": 0.9597981770833334}, {"start": 989.14, "end": 989.52, "word": " accumulation", "probability": 0.98828125}, {"start": 989.52, "end": 990.22, "word": " point", "probability": 0.9873046875}, {"start": 990.22, "end": 990.98, "word": " بدي", "probability": 0.70703125}, {"start": 990.98, "end": 991.26, "word": " يكون", "probability": 0.75390625}, {"start": 991.26, "end": 991.62, "word": " أي", "probability": 0.7255859375}, {"start": 991.62, "end": 992.32, "word": " neighborhood", "probability": 0.625}, {"start": 992.32, "end": 993.94, "word": " حوالين", "probability": 0.928466796875}, {"start": 993.94, "end": 995.0, "word": " النقطة", "probability": 0.9913736979166666}, {"start": 995.0, "end": 995.74, "word": " تقاطع", "probability": 0.78302001953125}, {"start": 995.74, "end": 995.86, "word": " مع", "probability": 0.89208984375}, {"start": 995.86, "end": 996.12, "word": " الـ", "probability": 0.894775390625}, {"start": 996.12, "end": 996.24, "word": " M", "probability": 0.84912109375}, {"start": 996.24, "end": 996.66, "word": " هيكون", "probability": 0.876953125}, {"start": 996.66, "end": 997.02, "word": " infinite", "probability": 0.87841796875}, {"start": 997.02, "end": 997.38, "word": " number", "probability": 0.98779296875}, {"start": 997.38, "end": 997.58, "word": " of", "probability": 0.98681640625}, {"start": 997.58, "end": 997.88, "word": " dots", "probability": 0.4267578125}], "temperature": 1.0}, {"id": 46, "seek": 102565, "start": 998.71, "end": 1025.65, "text": "مش هيكون نقطة في infinite number of points هذا اللي هو سؤال ستة في problem 138 مش صعب عموما طيب شوفوا صلى الله على النبي عز وجل انا بدي استعينيه الان بدي اخد اي نقطة في ال M complement و اثبتلكم انه لا يمكن انها تكون accumulation point او limit point لل M شوف كيف let X be any fixed point in M complement خدوا الان ال ball ال نص خطرها اللي هو نص و مركزها ال X هذه", "tokens": [2304, 8592, 39896, 30544, 8717, 47432, 3660, 8978, 13785, 1230, 295, 2793, 23758, 13672, 1829, 31439, 8608, 33604, 6027, 8608, 2655, 3660, 8978, 1154, 3705, 23, 37893, 20328, 3615, 3555, 6225, 2304, 2407, 15042, 23032, 1829, 3555, 13412, 38688, 14407, 20328, 23942, 21984, 15844, 28239, 21292, 6225, 11622, 49610, 1211, 1975, 8315, 4724, 16254, 44713, 3615, 9957, 1829, 3224, 2423, 7649, 4724, 16254, 1975, 9778, 3215, 1975, 1829, 8717, 47432, 3660, 8978, 2423, 376, 17103, 4032, 1975, 12984, 3555, 2655, 23275, 2304, 16472, 3224, 20193, 7251, 43020, 16472, 11296, 6055, 30544, 35647, 935, 1975, 2407, 4948, 935, 24976, 376, 13412, 38688, 9122, 33911, 718, 1783, 312, 604, 6806, 935, 294, 376, 17103, 16490, 3215, 14407, 2423, 7649, 2423, 2594, 2423, 8717, 9381, 16490, 9566, 2288, 11296, 13672, 1829, 31439, 8717, 9381, 4032, 3714, 31747, 11622, 11296, 2423, 1783, 29538], "avg_logprob": -0.2749999861632075, "compression_ratio": 1.7419354838709677, "no_speech_prob": 1.3709068298339844e-05, "words": [{"start": 998.71, "end": 998.97, "word": "مش", "probability": 0.77734375}, {"start": 998.97, "end": 999.25, "word": " هيكون", "probability": 0.877685546875}, {"start": 999.25, "end": 999.55, "word": " نقطة", "probability": 0.9674479166666666}, {"start": 999.55, "end": 999.61, "word": " في", "probability": 0.8427734375}, {"start": 999.61, "end": 999.89, "word": " infinite", "probability": 0.30712890625}, {"start": 999.89, "end": 1000.23, "word": " number", "probability": 0.97314453125}, {"start": 1000.23, "end": 1000.37, "word": " of", "probability": 0.96435546875}, {"start": 1000.37, "end": 1000.61, "word": " points", "probability": 0.83984375}, {"start": 1000.61, "end": 1001.41, "word": " هذا", "probability": 0.81298828125}, {"start": 1001.41, "end": 1001.53, "word": " اللي", "probability": 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{"start": 1005.77, "end": 1005.93, "word": " الله", "probability": 0.375}, {"start": 1005.93, "end": 1006.01, "word": " على", "probability": 0.51025390625}, {"start": 1006.01, "end": 1006.23, "word": " النبي", "probability": 0.9580078125}, {"start": 1006.23, "end": 1006.43, "word": " عز", "probability": 0.23712158203125}, {"start": 1006.43, "end": 1006.49, "word": " وجل", "probability": 0.60302734375}, {"start": 1006.49, "end": 1006.67, "word": " انا", "probability": 0.49517822265625}, {"start": 1006.67, "end": 1006.79, "word": " بدي", "probability": 0.43768310546875}, {"start": 1006.79, "end": 1007.33, "word": " استعينيه", "probability": 0.692236328125}, {"start": 1007.33, "end": 1008.53, "word": " الان", "probability": 0.6187744140625}, {"start": 1008.53, "end": 1008.83, "word": " بدي", "probability": 0.85302734375}, {"start": 1008.83, "end": 1009.21, "word": " اخد", "probability": 0.9093424479166666}, {"start": 1009.21, "end": 1009.47, "word": " اي", "probability": 0.9208984375}, 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"probability": 0.69287109375}, {"start": 1085.81, "end": 1086.19, "word": " problem", "probability": 0.7763671875}, {"start": 1086.19, "end": 1086.61, "word": " واحدة", "probability": 0.53106689453125}, {"start": 1086.61, "end": 1086.91, "word": " ستة", "probability": 0.9514973958333334}, {"start": 1086.91, "end": 1086.97, "word": " اللي", "probability": 0.7353515625}, {"start": 1086.97, "end": 1087.05, "word": " هي", "probability": 0.8330078125}, {"start": 1087.05, "end": 1087.29, "word": " واحدة", "probability": 0.888671875}, {"start": 1087.29, "end": 1087.53, "word": " تلاتة", "probability": 0.8837890625}, {"start": 1087.53, "end": 1087.95, "word": " بنقول", "probability": 0.8466796875}, {"start": 1087.95, "end": 1088.21, "word": " إنه", "probability": 0.476806640625}, {"start": 1088.21, "end": 1088.31, "word": " لو", "probability": 0.97119140625}, {"start": 1088.31, "end": 1088.63, "word": " كانت", "probability": 0.974609375}, {"start": 1088.63, "end": 1088.99, "word": " 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{"start": 1373.25, "end": 1373.53, "word": " C", "probability": 0.8974609375}, {"start": 1373.53, "end": 1373.83, "word": " أكبر", "probability": 0.9602864583333334}, {"start": 1373.83, "end": 1374.01, "word": " من", "probability": 0.98828125}, {"start": 1374.01, "end": 1374.23, "word": " صفر", "probability": 0.6981608072916666}, {"start": 1374.23, "end": 1374.47, "word": " such", "probability": 0.767578125}, {"start": 1374.47, "end": 1374.81, "word": " that", "probability": 0.9404296875}, {"start": 1374.81, "end": 1375.45, "word": " K", "probability": 0.89013671875}, {"start": 1375.45, "end": 1375.87, "word": " أكبر", "probability": 0.9645182291666666}, {"start": 1375.87, "end": 1376.01, "word": " أو", "probability": 0.91552734375}, {"start": 1376.01, "end": 1376.49, "word": " شويه", "probability": 0.9215494791666666}, {"start": 1376.49, "end": 1376.79, "word": " اللي", "probability": 0.960693359375}, {"start": 1376.79, "end": 1377.03, "word": " هو", "probability": 0.99462890625}, {"start": 1377.03, "end": 1377.33, "word": " ال", "probability": 0.85986328125}, {"start": 1377.33, "end": 1377.99, "word": " norm", "probability": 0.837890625}, {"start": 1377.99, "end": 1379.15, "word": " هذا", "probability": 0.8916015625}, {"start": 1379.15, "end": 1380.09, "word": " اللي", "probability": 0.97119140625}, {"start": 1380.09, "end": 1380.39, "word": " هو", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 62, "seek": 140601, "start": 1381.79, "end": 1406.01, "text": "هيها من هنا ال K أكبر سواء norm XM وال XM هيها هيها ال XM اللي هي هذه أه بس كتر ده في ال summation إذا ال normal X ال K أكبر سواء norm XM اللي هو هذا و هذا من اللمّة اللي قبل بشوية باللاجة C بحيث أنه هي أكبر سواء C في mean في ال summation طيب اللي هنطلع لفوق", "tokens": [3224, 1829, 11296, 9154, 34105, 2423, 591, 5551, 4117, 26890, 8608, 2407, 16606, 2026, 1783, 44, 16070, 1783, 44, 39896, 11296, 39896, 11296, 2423, 1783, 44, 13672, 1829, 39896, 29538, 5551, 3224, 4724, 3794, 9122, 2655, 2288, 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"probability": 0.78857421875}, {"start": 1386.97, "end": 1387.29, "word": " هذه", "probability": 0.6640625}, {"start": 1387.29, "end": 1388.31, "word": " أه", "probability": 0.6251220703125}, {"start": 1388.31, "end": 1388.45, "word": " بس", "probability": 0.92578125}, {"start": 1388.45, "end": 1388.63, "word": " كتر", "probability": 0.57373046875}, {"start": 1388.63, "end": 1388.73, "word": " ده", "probability": 0.6865234375}, {"start": 1388.73, "end": 1388.85, "word": " في", "probability": 0.90771484375}, {"start": 1388.85, "end": 1388.89, "word": " ال", "probability": 0.72900390625}, {"start": 1388.89, "end": 1389.31, "word": " summation", "probability": 0.853515625}, {"start": 1389.31, "end": 1389.99, "word": " إذا", "probability": 0.907470703125}, {"start": 1389.99, "end": 1390.13, "word": " ال", "probability": 0.434326171875}, {"start": 1390.13, "end": 1390.39, "word": " normal", "probability": 0.45458984375}, {"start": 1390.39, "end": 1390.91, "word": " X", "probability": 0.974609375}, {"start": 1390.91, "end": 1391.83, "word": " ال", "probability": 0.71728515625}, {"start": 1391.83, "end": 1392.17, "word": " K", "probability": 0.9814453125}, {"start": 1392.17, "end": 1392.87, "word": " أكبر", "probability": 0.9812825520833334}, {"start": 1392.87, "end": 1393.05, "word": " سواء", "probability": 0.9768880208333334}, {"start": 1393.05, "end": 1393.27, "word": " norm", "probability": 0.496337890625}, {"start": 1393.27, "end": 1393.79, "word": " XM", "probability": 0.908447265625}, {"start": 1393.79, "end": 1394.21, "word": " اللي", "probability": 0.98583984375}, {"start": 1394.21, "end": 1394.47, "word": " هو", "probability": 0.9931640625}, {"start": 1394.47, "end": 1394.95, "word": " هذا", "probability": 0.95849609375}, {"start": 1394.95, "end": 1395.79, "word": " و", "probability": 0.490234375}, {"start": 1395.79, "end": 1396.09, "word": " هذا", "probability": 0.82373046875}, {"start": 1396.09, "end": 1396.33, "word": " من", "probability": 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"probability": 0.90869140625}, {"start": 1401.73, "end": 1401.95, "word": " في", "probability": 0.9541015625}, {"start": 1401.95, "end": 1402.23, "word": " mean", "probability": 0.31591796875}, {"start": 1402.23, "end": 1402.79, "word": " في", "probability": 0.96533203125}, {"start": 1402.79, "end": 1402.93, "word": " ال", "probability": 0.93310546875}, {"start": 1402.93, "end": 1403.39, "word": " summation", "probability": 0.93212890625}, {"start": 1403.39, "end": 1404.39, "word": " طيب", "probability": 0.9645182291666666}, {"start": 1404.39, "end": 1405.21, "word": " اللي", "probability": 0.88671875}, {"start": 1405.21, "end": 1405.57, "word": " هنطلع", "probability": 0.782666015625}, {"start": 1405.57, "end": 1406.01, "word": " لفوق", "probability": 0.7412109375}], "temperature": 1.0}, {"id": 63, "seek": 142366, "start": 1408.18, "end": 1423.66, "text": "Hence, for any fixed I من 1 إلى N in the sequence Xim is a bounded sequence of numbers أكيد الـ Xim bounded sequence ليه؟ لأنه صار الـ summation هذا", "tokens": [39, 655, 11, 337, 604, 6806, 286, 9154, 502, 30731, 426, 294, 264, 8310, 1783, 332, 307, 257, 37498, 8310, 295, 3547, 5551, 4117, 25708, 2423, 39184, 1783, 332, 37498, 8310, 32239, 3224, 22807, 5296, 33456, 3224, 20328, 9640, 2423, 39184, 28811, 23758], "avg_logprob": -0.4772727218541232, "compression_ratio": 1.2377622377622377, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1408.18, "end": 1408.64, "word": "Hence,", "probability": 0.405853271484375}, {"start": 1408.82, "end": 1408.94, "word": " for", "probability": 0.9228515625}, {"start": 1408.94, "end": 1409.28, "word": " any", "probability": 0.91796875}, {"start": 1409.28, "end": 1409.68, "word": " fixed", "probability": 0.8564453125}, {"start": 1409.68, "end": 1410.08, "word": " I", "probability": 0.470458984375}, {"start": 1410.08, "end": 1412.0, "word": " من", "probability": 0.34716796875}, {"start": 1412.0, "end": 1412.26, "word": " 1", "probability": 0.5634765625}, {"start": 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أو ساوي هذا على C كل واحدة من اندولا Cy M هتكون أصغر أو تساوي K على C يعني صارت ال sequence هذي bounded sequence اذا صارت عندي bounded sequence of مين؟ of numbers باشر و دوين على ال R أو على ال C اللي ضامن انه انه في مدام اللي هو sequence of numbers و بولزانو بتقول every sequence bounded sequence هذا convergence subsequence", "tokens": [10721, 4117, 26890, 34051, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 23758, 15844, 383, 28242, 36764, 24401, 3660, 9154, 16472, 3215, 12610, 995, 10295, 376, 8032, 2655, 30544, 5551, 9381, 17082, 2288, 34051, 6055, 3794, 995, 45865, 591, 15844, 383, 37495, 22653, 20328, 9640, 2655, 2423, 8310, 8032, 8848, 1829, 37498, 8310, 1975, 15730, 20328, 9640, 2655, 18871, 16254, 37498, 8310, 295, 3714, 9957, 22807, 295, 3547, 4724, 33599, 2288, 4032, 11778, 2407, 9957, 15844, 2423, 497, 34051, 15844, 2423, 383, 13672, 1829, 48812, 10943, 1863, 16472, 3224, 16472, 3224, 8978, 3714, 3215, 10943, 13672, 1829, 31439, 8310, 295, 3547, 4032, 4724, 12610, 11622, 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0.95703125}, {"start": 1441.23, "end": 1441.49, "word": " C", "probability": 0.9453125}, {"start": 1441.49, "end": 1442.19, "word": " اللي", "probability": 0.96240234375}, {"start": 1442.19, "end": 1442.79, "word": " ضامن", "probability": 0.900390625}, {"start": 1442.79, "end": 1443.23, "word": " انه", "probability": 0.836669921875}, {"start": 1443.23, "end": 1443.69, "word": " انه", "probability": 0.712890625}, {"start": 1443.69, "end": 1444.03, "word": " في", "probability": 0.9306640625}, {"start": 1444.03, "end": 1445.11, "word": " مدام", "probability": 0.8287760416666666}, {"start": 1445.11, "end": 1445.25, "word": " اللي", "probability": 0.853515625}, {"start": 1445.25, "end": 1445.43, "word": " هو", "probability": 0.98095703125}, {"start": 1445.43, "end": 1445.91, "word": " sequence", "probability": 0.96875}, {"start": 1445.91, "end": 1446.15, "word": " of", "probability": 0.98046875}, {"start": 1446.15, "end": 1446.71, "word": " numbers", "probability": 0.9150390625}, {"start": 1446.71, "end": 1447.17, "word": " و", "probability": 0.72607421875}, {"start": 1447.17, "end": 1447.67, "word": " بولزانو", "probability": 0.790625}, {"start": 1447.67, "end": 1448.09, "word": " بتقول", "probability": 0.96142578125}, {"start": 1448.09, "end": 1448.47, "word": " every", "probability": 0.74267578125}, {"start": 1448.47, "end": 1449.01, "word": " sequence", "probability": 0.82763671875}, {"start": 1449.01, "end": 1449.39, "word": " bounded", "probability": 0.60791015625}, {"start": 1449.39, "end": 1449.91, "word": " sequence", "probability": 0.9755859375}, {"start": 1449.91, "end": 1450.13, "word": " هذا", "probability": 0.63525390625}, {"start": 1450.13, "end": 1450.67, "word": " convergence", "probability": 0.671875}, {"start": 1450.67, "end": 1451.45, "word": " subsequence", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 65, "seek": 147259, "start": 1451.85, "end": 1472.59, "text": "إذا لازم it has a convergent subsequence say that it converges to mean to Xi I إذا ال subsequence من هذه converges to mean لXi I بالظبط بديش أقول عيد اللي قلناه قبل و شوية then as in the proof of لبمة 2 4 5 we show that XM A شمالها has", "tokens": [28814, 15730, 5296, 31377, 2304, 309, 575, 257, 9652, 6930, 13924, 655, 584, 300, 309, 9652, 2880, 281, 914, 281, 15712, 286, 11933, 15730, 2423, 13924, 655, 9154, 29538, 9652, 2880, 281, 914, 5296, 41577, 286, 20666, 19913, 3555, 9566, 4724, 16254, 8592, 5551, 39648, 6225, 25708, 13672, 1829, 12174, 1211, 8315, 3224, 12174, 36150, 4032, 13412, 2407, 10632, 550, 382, 294, 264, 8177, 295, 5296, 3555, 46007, 568, 1017, 1025, 321, 855, 300, 1783, 44, 316, 13412, 2304, 6027, 11296, 575], "avg_logprob": -0.3224774038935282, "compression_ratio": 1.4210526315789473, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1451.85, "end": 1452.21, "word": "إذا", "probability": 0.510009765625}, {"start": 1452.21, "end": 1453.53, "word": " لازم", "probability": 0.8883463541666666}, {"start": 1453.53, "end": 1453.85, 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"probability": 0.63818359375}, {"start": 2851.44, "end": 2851.48, "word": " هي", "probability": 0.1461181640625}, {"start": 2851.48, "end": 2852.0, "word": " موجود", "probability": 0.9358723958333334}, {"start": 2852.0, "end": 2852.46, "word": " في", "probability": 0.89892578125}, {"start": 2852.46, "end": 2852.8, "word": " الار", "probability": 0.67626953125}, {"start": 2852.8, "end": 2853.48, "word": " موضوع", "probability": 0.87548828125}, {"start": 2853.48, "end": 2853.92, "word": " سهل", "probability": 0.9970703125}, {"start": 2853.92, "end": 2854.24, "word": " اطلع", "probability": 0.9410400390625}, {"start": 2854.24, "end": 2855.28, "word": " لفوق", "probability": 0.7357584635416666}, {"start": 2855.28, "end": 2856.24, "word": " اطلع", "probability": 0.9725341796875}], "temperature": 1.0}, {"id": 126, "seek": 288439, "start": 2857.05, "end": 2884.39, "text": "أخر إشي هدى By theorem 2.56 اللي قبل شوية هتطلع الـ T M subset من R و Combact ماشي مادام Combact إذا ن close و إيه إيش؟ Abounded ما هو ال Combact الست إيش معناه؟ Closed و Abounded طيب الآن مادام Closed و Abounded إذا صار عندي الـ infimum للـ T of M موجود وين؟ في الـ T of M Closed", "tokens": [10721, 34740, 11933, 8592, 1829, 8032, 3215, 7578, 3146, 20904, 568, 13, 18317, 13672, 1829, 12174, 36150, 13412, 2407, 10632, 8032, 2655, 9566, 1211, 3615, 2423, 39184, 314, 376, 25993, 9154, 497, 4032, 25939, 578, 3714, 33599, 1829, 3714, 18513, 10943, 25939, 578, 11933, 15730, 8717, 1998, 4032, 11933, 1829, 3224, 11933, 1829, 8592, 22807, 2847, 37706, 19446, 31439, 2423, 25939, 578, 2423, 14851, 11933, 1829, 8592, 20449, 8315, 3224, 22807, 2033, 1744, 4032, 2847, 37706, 23032, 1829, 3555, 6024, 48506, 3714, 18513, 10943, 2033, 1744, 4032, 2847, 37706, 11933, 15730, 20328, 9640, 18871, 16254, 2423, 39184, 1536, 332, 449, 24976, 39184, 314, 295, 376, 3714, 29245, 23328, 4032, 9957, 22807, 8978, 2423, 39184, 314, 295, 376, 2033, 1744], "avg_logprob": -0.4223958266278108, "compression_ratio": 1.58, "no_speech_prob": 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موجود في الـ T of M؟ يعني هذا عبارة على صورة عنصر اسمه TX موجود في الـ T of M إذاً هذا الـ X وين موجود؟", "tokens": [28814, 15730, 14111, 550, 264, 17340, 3256, 295, 732, 2793, 14689, 295, 2793, 295, 914, 295, 376, 2423, 39184, 1536, 332, 449, 46740, 16254, 4032, 9673, 5016, 1829, 30544, 8978, 2423, 39184, 314, 295, 376, 37495, 22653, 11933, 1829, 8592, 20449, 8315, 3660, 2423, 39184, 1536, 332, 449, 4386, 16490, 1211, 11703, 9957, 1829, 5551, 9778, 3215, 36764, 24401, 3660, 4032, 6055, 7649, 10632, 30767, 1829, 11296, 2423, 39184, 1536, 332, 449, 24976, 39184, 314, 295, 376, 11933, 1829, 8592, 20449, 8315, 47395, 3714, 29245, 23328, 8978, 2423, 39184, 314, 295, 376, 22807, 37495, 22653, 23758, 6225, 3555, 9640, 3660, 15844, 20328, 13063, 3660, 18871, 9381, 2288, 24525, 2304, 3224, 314, 55, 3714, 29245, 23328, 8978, 2423, 39184, 314, 295, 376, 11933, 15730, 14111, 23758, 2423, 39184, 1783, 4032, 9957, 3714, 29245, 23328, 22807], "avg_logprob": -0.22743055158191258, "compression_ratio": 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