{"segments": [{"id": 1, "seek": 4913, "start": 20.67, "end": 49.13, "text": "السلام عليكم اليوم ان شاء الله هنكمل section أربعة واحد اللي عرفنا فيه ال limits و ال functions أخدنا المرة الأولى تلتة تعريف epsilon delta ل limit of function وشوفنا أن هذا بكافة تعريف في neighborhood definition لlimit of function على النقطة", "tokens": [6027, 3794, 37440, 25894, 24793, 45595, 20498, 16472, 13412, 16606, 21984, 8032, 1863, 24793, 1211, 3541, 5551, 25513, 27884, 36764, 24401, 13672, 1829, 6225, 28480, 8315, 8978, 3224, 2423, 10406, 4032, 2423, 6828, 5551, 9778, 3215, 8315, 9673, 25720, 16247, 12610, 7578, 6055, 1211, 2655, 3660, 37279, 16572, 5172, 17889, 8289, 5296, 4948, 295, 2445, 4032, 8592, 38688, 8315, 14739, 23758, 4724, 4117, 31845, 3660, 37279, 16572, 5172, 8978, 7630, 7123, 5296, 4197, 270, 295, 2445, 15844, 28239, 47432, 3660], "avg_logprob": -0.23109568489922416, "compression_ratio": 1.6527777777777777, "no_speech_prob": 0.0, "words": [{"start": 20.67, "end": 21.01, "word": 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{"start": 367.34, "end": 367.74, "word": " الآن", "probability": 0.5594482421875}, {"start": 367.74, "end": 368.12, "word": " متى", "probability": 0.917724609375}, {"start": 368.12, "end": 368.5, "word": " بيكون", "probability": 0.9031575520833334}, {"start": 368.5, "end": 368.8, "word": " هذا", "probability": 0.97802734375}, {"start": 368.8, "end": 369.22, "word": " أصغر", "probability": 0.9879150390625}, {"start": 369.22, "end": 369.4, "word": " من", "probability": 0.99560546875}, {"start": 369.4, "end": 369.92, "word": " إبسرن", "probability": 0.669287109375}, {"start": 369.92, "end": 372.36, "word": " لما", "probability": 0.832763671875}, {"start": 372.36, "end": 372.98, "word": " دلتا", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 15, "seek": 40148, "start": 374.88, "end": 401.48, "text": "إذا كانت delta هذه أصغر من أوي ساوي epsilon على واحد زايد اتنين في absolute of c إذا هاي قيمة تانية ل delta هاي اندي delta بساوي واحد و delta أصغر من أوي ساوي epsilon على واحد زايد اتنين في absolute of c إذا باجي بقول", "tokens": [28814, 15730, 25961, 2655, 8289, 29538, 5551, 9381, 17082, 2288, 9154, 34051, 1829, 8608, 995, 45865, 17889, 15844, 36764, 24401, 30767, 995, 25708, 1975, 2655, 1863, 9957, 8978, 8236, 295, 269, 11933, 15730, 8032, 47302, 12174, 32640, 3660, 6055, 7649, 10632, 5296, 8289, 8032, 47302, 16472, 16254, 8289, 4724, 3794, 995, 45865, 36764, 24401, 4032, 8289, 5551, 9381, 17082, 2288, 9154, 34051, 1829, 8608, 995, 45865, 17889, 15844, 36764, 24401, 30767, 995, 25708, 1975, 2655, 1863, 9957, 8978, 8236, 295, 269, 11933, 15730, 4724, 26108, 1829, 4724, 39648], "avg_logprob": -0.2191011209166452, "compression_ratio": 2.0304878048780486, "no_speech_prob": 0.0, "words": [{"start": 374.88, "end": 375.26, "word": "إذا", "probability": 0.67822265625}, {"start": 375.26, "end": 375.74, "word": " كانت", "probability": 0.782958984375}, {"start": 375.74, "end": 376.04, "word": " delta", "probability": 0.34765625}, {"start": 376.04, "end": 376.64, "word": " 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{"start": 386.3, "end": 386.62, "word": " c", "probability": 0.544921875}, {"start": 386.62, "end": 388.02, "word": " إذا", "probability": 0.65283203125}, {"start": 388.02, "end": 388.28, "word": " هاي", "probability": 0.5875244140625}, {"start": 388.28, "end": 388.8, "word": " قيمة", "probability": 0.9529622395833334}, {"start": 388.8, "end": 389.1, "word": " تانية", "probability": 0.98486328125}, {"start": 389.1, "end": 389.24, "word": " ل", "probability": 0.90966796875}, {"start": 389.24, "end": 389.64, "word": " delta", "probability": 0.54150390625}, {"start": 389.64, "end": 389.96, "word": " هاي", "probability": 0.630126953125}, {"start": 389.96, "end": 390.22, "word": " اندي", "probability": 0.51556396484375}, {"start": 390.22, "end": 390.52, "word": " delta", "probability": 0.86669921875}, {"start": 390.52, "end": 391.1, "word": " بساوي", "probability": 0.8409423828125}, {"start": 391.1, "end": 391.66, "word": " واحد", "probability": 0.98681640625}, {"start": 391.66, "end": 393.96, "word": " و", "probability": 0.8427734375}, {"start": 393.96, "end": 394.28, "word": " delta", "probability": 0.8681640625}, {"start": 394.28, "end": 394.8, "word": " أصغر", "probability": 0.9820556640625}, {"start": 394.8, "end": 395.0, "word": " من", "probability": 0.98828125}, {"start": 395.0, "end": 395.28, "word": " أوي", "probability": 0.93701171875}, {"start": 395.28, "end": 395.66, "word": " ساوي", "probability": 0.9611002604166666}, {"start": 395.66, "end": 396.64, "word": " epsilon", "probability": 0.921875}, {"start": 396.64, "end": 397.04, "word": " على", "probability": 0.85205078125}, {"start": 397.04, "end": 397.46, "word": " واحد", "probability": 0.986572265625}, {"start": 397.46, "end": 397.78, "word": " زايد", "probability": 0.9791666666666666}, {"start": 397.78, "end": 398.06, "word": " اتنين", "probability": 0.97802734375}, {"start": 398.06, "end": 398.24, "word": " في", "probability": 0.72705078125}, {"start": 398.24, "end": 398.36, "word": " absolute", "probability": 0.97998046875}, {"start": 398.36, "end": 398.66, "word": " of", "probability": 0.97314453125}, {"start": 398.66, "end": 398.94, "word": " c", "probability": 0.939453125}, {"start": 398.94, "end": 399.76, "word": " إذا", "probability": 0.893798828125}, {"start": 399.76, "end": 401.06, "word": " باجي", "probability": 0.76611328125}, {"start": 401.06, "end": 401.48, "word": " بقول", "probability": 0.954345703125}], "temperature": 1.0}, {"id": 16, "seek": 43051, "start": 403.53, "end": 430.51, "text": "let epsilon أكبر من السفر be given a choose delta بتساوي ال minimum الأصغر بين القمتين واحد وepsilon على واحد زاد اتنين في absolute c ال delta هذه الآن عدد موجب ويعتمد على epsilon", "tokens": [2631, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 312, 2212, 257, 2826, 8289, 39894, 3794, 995, 45865, 2423, 7285, 16247, 9381, 17082, 2288, 49374, 25062, 2304, 2655, 9957, 36764, 24401, 4032, 10653, 15754, 15844, 36764, 24401, 30767, 18513, 1975, 2655, 1863, 9957, 8978, 8236, 269, 2423, 8289, 29538, 6024, 48506, 6225, 3215, 3215, 3714, 29245, 3555, 4032, 40228, 39237, 3215, 15844, 17889], "avg_logprob": -0.2427978494670242, "compression_ratio": 1.4745762711864407, "no_speech_prob": 0.0, "words": [{"start": 403.53, "end": 403.99, "word": "let", "probability": 0.2496337890625}, {"start": 403.99, "end": 404.83, "word": " epsilon", "probability": 0.62353515625}, {"start": 404.83, "end": 405.85, "word": " أكبر", "probability": 0.9381510416666666}, {"start": 405.85, "end": 406.05, "word": " من", "probability": 0.9951171875}, {"start": 406.05, "end": 406.71, "word": " السفر", "probability": 0.7809244791666666}, {"start": 406.71, "end": 408.71, "word": " be", "probability": 0.552734375}, {"start": 408.71, "end": 409.25, "word": " given", "probability": 0.89990234375}, {"start": 409.25, "end": 409.59, "word": " a", "probability": 0.4443359375}, {"start": 409.59, "end": 410.17, "word": " choose", "probability": 0.5791015625}, {"start": 410.17, "end": 413.05, "word": " delta", "probability": 0.495361328125}, {"start": 413.05, "end": 415.33, "word": " بتساوي", "probability": 0.89111328125}, {"start": 415.33, "end": 415.47, "word": " ال", "probability": 0.84228515625}, {"start": 415.47, "end": 415.87, "word": " minimum", "probability": 0.83251953125}, {"start": 415.87, "end": 416.69, "word": " الأصغر", "probability": 0.9876708984375}, {"start": 416.69, "end": 416.99, "word": " بين", "probability": 0.97119140625}, {"start": 416.99, "end": 417.69, "word": " القمتين", "probability": 0.8077392578125}, {"start": 417.69, "end": 418.37, "word": " واحد", "probability": 0.932373046875}, {"start": 418.37, "end": 420.53, "word": " وepsilon", "probability": 0.7410481770833334}, {"start": 420.53, "end": 420.95, "word": " على", "probability": 0.7421875}, {"start": 420.95, "end": 422.35, "word": " واحد", "probability": 0.971923828125}, {"start": 422.35, "end": 422.81, "word": " زاد", "probability": 0.7861328125}, {"start": 422.81, "end": 423.33, "word": " اتنين", "probability": 0.927734375}, {"start": 423.33, "end": 423.51, "word": " في", "probability": 0.9423828125}, {"start": 423.51, "end": 424.01, "word": " absolute", "probability": 0.51416015625}, {"start": 424.01, "end": 424.65, "word": " c", "probability": 0.189453125}, {"start": 424.65, "end": 427.05, "word": " ال", "probability": 0.7734375}, {"start": 427.05, "end": 427.35, "word": " delta", "probability": 0.560546875}, {"start": 427.35, "end": 427.75, "word": " هذه", "probability": 0.64208984375}, {"start": 427.75, "end": 428.11, "word": " الآن", "probability": 0.6845703125}, {"start": 428.11, "end": 428.53, "word": " عدد", "probability": 0.9856770833333334}, {"start": 428.53, "end": 429.15, "word": " موجب", "probability": 0.984375}, {"start": 429.15, "end": 429.85, "word": " ويعتمد", "probability": 0.9063720703125}, {"start": 429.85, "end": 430.07, "word": " على", "probability": 0.8916015625}, {"start": 430.07, "end": 430.51, "word": " epsilon", "probability": 0.60498046875}], "temperature": 1.0}, {"id": 17, "seek": 46162, "start": 432.74, "end": 461.62, "text": "إذا لهذه الـ Delta لو كان X ينتمي ل R اللي هو مجال الدالة و Absolute X minus C أكبر من صفر أصغر من Delta فهذا بيؤدي طبعا ال Delta هذه هي الأصغر من العددين هذوله وبالتالي أصغر من أو يساوي واحد وأصغر من أو يساوي كسر هذا", "tokens": [28814, 15730, 46740, 24192, 2423, 39184, 18183, 45164, 25961, 1783, 7251, 29399, 2304, 1829, 5296, 497, 13672, 1829, 31439, 3714, 7435, 6027, 32748, 6027, 3660, 4032, 43965, 1169, 1783, 3175, 383, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 5551, 9381, 17082, 2288, 9154, 18183, 6156, 3224, 15730, 4724, 1829, 33604, 16254, 23032, 3555, 3615, 995, 2423, 18183, 29538, 39896, 16247, 9381, 17082, 2288, 9154, 18863, 3215, 3215, 9957, 8032, 8848, 12610, 3224, 46599, 6027, 2655, 6027, 1829, 5551, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 36764, 24401, 36725, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 9122, 3794, 2288, 23758], "avg_logprob": 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هو", "probability": 0.95556640625}, {"start": 441.56, "end": 442.1, "word": " مجال", "probability": 0.9853515625}, {"start": 442.1, "end": 442.82, "word": " الدالة", "probability": 0.9571940104166666}, {"start": 442.82, "end": 444.14, "word": " و", "probability": 0.87451171875}, {"start": 444.14, "end": 445.2, "word": " Absolute", "probability": 0.762451171875}, {"start": 445.2, "end": 445.64, "word": " X", "probability": 0.9619140625}, {"start": 445.64, "end": 446.26, "word": " minus", "probability": 0.59130859375}, {"start": 446.26, "end": 446.78, "word": " C", "probability": 0.76123046875}, {"start": 446.78, "end": 447.38, "word": " أكبر", "probability": 0.9501953125}, {"start": 447.38, "end": 447.6, "word": " من", "probability": 0.99560546875}, {"start": 447.6, "end": 448.12, "word": " صفر", "probability": 0.71875}, {"start": 448.12, "end": 449.42, "word": " أصغر", "probability": 0.9031982421875}, {"start": 449.42, "end": 449.62, "word": " من", "probability": 0.99560546875}, {"start": 449.62, "end": 450.06, "word": " Delta", "probability": 0.76611328125}, {"start": 450.06, "end": 451.78, "word": " فهذا", "probability": 0.966796875}, {"start": 451.78, "end": 452.54, "word": " بيؤدي", "probability": 0.7513427734375}, {"start": 452.54, "end": 454.4, "word": " طبعا", "probability": 0.9134521484375}, {"start": 454.4, "end": 454.54, "word": " ال", "probability": 0.9443359375}, {"start": 454.54, "end": 454.82, "word": " Delta", "probability": 0.60888671875}, {"start": 454.82, "end": 455.22, "word": " هذه", "probability": 0.533203125}, {"start": 455.22, "end": 455.42, "word": " هي", "probability": 0.7958984375}, {"start": 455.42, "end": 455.86, "word": " الأصغر", "probability": 0.98828125}, {"start": 455.86, "end": 456.04, "word": " من", "probability": 0.99267578125}, {"start": 456.04, "end": 456.58, "word": " العددين", "probability": 0.947998046875}, {"start": 456.58, "end": 456.96, "word": " هذوله", "probability": 0.7967529296875}, {"start": 456.96, "end": 457.38, "word": " وبالتالي", "probability": 0.85673828125}, {"start": 457.38, "end": 457.88, "word": " أصغر", "probability": 0.978271484375}, {"start": 457.88, "end": 458.1, "word": " من", "probability": 0.986328125}, {"start": 458.1, "end": 458.26, "word": " أو", "probability": 0.7333984375}, {"start": 458.26, "end": 458.68, "word": " يساوي", "probability": 0.9217529296875}, {"start": 458.68, "end": 459.14, "word": " واحد", "probability": 0.8818359375}, {"start": 459.14, "end": 460.24, "word": " وأصغر", "probability": 0.8828125}, {"start": 460.24, "end": 460.4, "word": " من", "probability": 0.994140625}, {"start": 460.4, "end": 460.56, "word": " أو", "probability": 0.95849609375}, {"start": 460.56, "end": 460.92, "word": " يساوي", "probability": 0.988037109375}, {"start": 460.92, "end": 461.34, "word": " كسر", "probability": 0.8790690104166666}, {"start": 461.34, "end": 461.62, "word": " هذا", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 18, "seek": 48088, "start": 462.58, "end": 480.88, "text": "فالـ delta أكيد أصغر من أو يساوي الواحد، لما الـ delta أصغر من أو يساوي الواحد، هذا بيقدر أن absolute X أصغر من واحد زائد absolute C", "tokens": [5172, 6027, 39184, 8289, 5551, 4117, 25708, 5551, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 2423, 14407, 24401, 12399, 5296, 15042, 2423, 39184, 8289, 5551, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 2423, 14407, 24401, 12399, 23758, 4724, 1829, 4587, 3215, 2288, 14739, 8236, 1783, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 30767, 16373, 3215, 8236, 383], "avg_logprob": -0.17842742656507798, "compression_ratio": 1.6935483870967742, "no_speech_prob": 0.0, "words": [{"start": 462.58, "end": 463.36, "word": "فالـ", "probability": 0.74462890625}, {"start": 463.36, "end": 463.68, "word": " delta", "probability": 0.35693359375}, {"start": 463.68, "end": 464.54, "word": " أكيد", "probability": 0.9129231770833334}, {"start": 464.54, "end": 465.1, "word": " أصغر", "probability": 0.9859619140625}, {"start": 465.1, "end": 465.34, "word": " من", "probability": 0.9697265625}, {"start": 465.34, "end": 465.54, "word": " أو", "probability": 0.97509765625}, {"start": 465.54, "end": 465.96, "word": " يساوي", "probability": 0.9637451171875}, {"start": 465.96, "end": 466.82, "word": " الواحد،", "probability": 0.7508544921875}, {"start": 466.82, "end": 467.92, "word": " لما", "probability": 0.8984375}, {"start": 467.92, "end": 468.16, "word": " الـ", "probability": 0.70263671875}, {"start": 468.16, "end": 468.38, "word": " delta", "probability": 0.896484375}, {"start": 468.38, "end": 468.92, "word": " أصغر", "probability": 0.990966796875}, {"start": 468.92, "end": 469.14, "word": " من", "probability": 0.9951171875}, {"start": 469.14, "end": 469.36, "word": " أو", "probability": 0.98876953125}, {"start": 469.36, "end": 469.94, "word": " يساوي", "probability": 0.990966796875}, {"start": 469.94, "end": 470.88, "word": " الواحد،", "probability": 0.936279296875}, {"start": 470.88, "end": 471.1, "word": " هذا", "probability": 0.9169921875}, {"start": 471.1, "end": 472.36, "word": " بيقدر", "probability": 0.7427734375}, {"start": 472.36, "end": 472.84, "word": " أن", "probability": 0.64404296875}, {"start": 472.84, "end": 473.66, "word": " absolute", "probability": 0.20849609375}, {"start": 473.66, "end": 476.94, "word": " X", "probability": 0.58984375}, {"start": 476.94, "end": 478.26, "word": " أصغر", "probability": 0.9896240234375}, {"start": 478.26, "end": 478.58, "word": " من", "probability": 0.99658203125}, {"start": 478.58, "end": 479.16, "word": " واحد", "probability": 0.859130859375}, {"start": 479.16, "end": 479.76, "word": " زائد", "probability": 0.9085286458333334}, {"start": 479.76, "end": 480.3, "word": " absolute", "probability": 0.92041015625}, {"start": 480.3, "end": 480.88, "word": " C", "probability": 0.6318359375}], "temperature": 1.0}, {"id": 19, "seek": 51034, "start": 481.66, "end": 510.34, "text": "وكمان هذا بيقدي أنه absolute x تربية سالب c تربية أصغر من أوي ساوي absolute x زاد absolute c absolute x سالب c وبالتالي هذا أصغر من أوي ساوي واحد زاد اتنين absolute c", "tokens": [2407, 24793, 7649, 23758, 4724, 1829, 4587, 16254, 14739, 3224, 8236, 2031, 6055, 25513, 10632, 8608, 6027, 3555, 269, 6055, 25513, 10632, 5551, 9381, 17082, 2288, 9154, 34051, 1829, 8608, 995, 45865, 8236, 2031, 30767, 18513, 8236, 269, 8236, 2031, 8608, 6027, 3555, 269, 46599, 6027, 2655, 6027, 1829, 23758, 5551, 9381, 17082, 2288, 9154, 34051, 1829, 8608, 995, 45865, 36764, 24401, 30767, 18513, 1975, 2655, 1863, 9957, 8236, 269], "avg_logprob": -0.23063380743416262, "compression_ratio": 1.7872340425531914, "no_speech_prob": 0.0, "words": [{"start": 481.66, "end": 482.52, "word": "وكمان", "probability": 0.6615397135416666}, {"start": 482.52, "end": 482.88, "word": " هذا", "probability": 0.92041015625}, {"start": 482.88, "end": 483.52, "word": " بيقدي", "probability": 0.6495361328125}, {"start": 483.52, "end": 484.8, "word": " أنه", "probability": 0.42919921875}, {"start": 484.8, "end": 485.34, "word": " absolute", "probability": 0.61767578125}, {"start": 485.34, "end": 486.08, "word": " x", "probability": 0.68505859375}, {"start": 486.08, "end": 486.78, "word": " تربية", "probability": 0.7648111979166666}, {"start": 486.78, "end": 487.68, "word": " سالب", "probability": 0.7814127604166666}, {"start": 487.68, "end": 488.1, "word": " c", "probability": 0.75244140625}, {"start": 488.1, "end": 488.84, "word": " تربية", "probability": 0.9705403645833334}, {"start": 488.84, "end": 490.08, "word": " أصغر", "probability": 0.9501953125}, {"start": 490.08, "end": 490.28, "word": " من", "probability": 0.9208984375}, {"start": 490.28, "end": 490.56, "word": " أوي", "probability": 0.716064453125}, {"start": 490.56, "end": 491.0, "word": " ساوي", "probability": 0.8063151041666666}, {"start": 491.0, "end": 491.5, "word": " absolute", "probability": 0.865234375}, {"start": 491.5, "end": 492.4, "word": " x", "probability": 0.9755859375}, {"start": 492.4, "end": 493.68, "word": " زاد", "probability": 0.4869384765625}, {"start": 493.68, "end": 494.34, "word": " absolute", "probability": 0.9658203125}, {"start": 494.34, "end": 497.14, "word": " c", "probability": 0.7880859375}, {"start": 497.14, "end": 503.4, "word": " absolute", "probability": 0.105712890625}, {"start": 503.4, "end": 504.24, "word": " x", "probability": 0.99609375}, {"start": 504.24, "end": 504.64, "word": " سالب", "probability": 0.9441731770833334}, {"start": 504.64, "end": 504.9, "word": " c", "probability": 0.94580078125}, {"start": 504.9, "end": 505.5, "word": " وبالتالي", "probability": 0.865966796875}, {"start": 505.5, "end": 505.78, "word": " هذا", "probability": 0.9189453125}, {"start": 505.78, "end": 506.24, "word": " أصغر", "probability": 0.986083984375}, {"start": 506.24, "end": 506.38, "word": " من", "probability": 0.9794921875}, {"start": 506.38, "end": 506.6, "word": " أوي", "probability": 0.875244140625}, {"start": 506.6, "end": 506.96, "word": " ساوي", "probability": 0.9322916666666666}, {"start": 506.96, "end": 507.56, "word": " واحد", "probability": 0.925537109375}, {"start": 507.56, "end": 508.64, "word": " زاد", "probability": 0.87255859375}, {"start": 508.64, "end": 509.08, "word": " اتنين", "probability": 0.94140625}, {"start": 509.08, "end": 509.58, "word": " absolute", "probability": 0.8984375}, {"start": 509.58, "end": 510.34, "word": " c", "probability": 0.95703125}], "temperature": 1.0}, {"id": 20, "seek": 53860, "start": 511.78, "end": 538.6, "text": "و هذا اصغر من delta و الان ال delta هذه طبعا هذا اصغر من delta و ال delta قلنا اصغر منها و يساوي epsilon هاي واحد زي اتنين", "tokens": [2407, 23758, 1975, 9381, 17082, 2288, 9154, 8289, 4032, 2423, 7649, 2423, 8289, 29538, 23032, 3555, 3615, 995, 23758, 1975, 9381, 17082, 2288, 9154, 8289, 4032, 2423, 8289, 12174, 1211, 8315, 1975, 9381, 17082, 2288, 9154, 11296, 4032, 7251, 3794, 995, 45865, 17889, 8032, 47302, 36764, 24401, 30767, 1829, 1975, 2655, 1863, 9957], "avg_logprob": -0.21961805997071443, "compression_ratio": 1.596638655462185, "no_speech_prob": 0.0, "words": [{"start": 511.78, "end": 512.08, "word": "و", "probability": 0.86865234375}, {"start": 512.08, "end": 512.46, "word": " هذا", "probability": 0.51806640625}, {"start": 512.46, "end": 513.22, "word": " اصغر", "probability": 0.843505859375}, {"start": 513.22, "end": 513.5, "word": " من", "probability": 0.98828125}, {"start": 513.5, "end": 513.98, "word": " delta", "probability": 0.357177734375}, {"start": 513.98, "end": 519.84, "word": " و", "probability": 0.419677734375}, {"start": 519.84, "end": 520.64, "word": " الان", "probability": 0.714599609375}, {"start": 520.64, "end": 521.48, "word": " ال", "probability": 0.9208984375}, {"start": 521.48, "end": 522.38, "word": " delta", "probability": 0.88623046875}, {"start": 522.38, "end": 523.4, "word": " هذه", "probability": 0.73095703125}, {"start": 523.4, "end": 529.52, "word": " طبعا", "probability": 0.9178466796875}, {"start": 529.52, "end": 529.76, "word": " هذا", "probability": 0.84228515625}, {"start": 529.76, "end": 530.26, "word": " اصغر", "probability": 0.9715576171875}, {"start": 530.26, "end": 530.44, "word": " من", "probability": 0.99755859375}, {"start": 530.44, "end": 530.86, "word": " delta", "probability": 0.806640625}, {"start": 530.86, "end": 531.12, "word": " و", "probability": 0.70849609375}, {"start": 531.12, "end": 531.26, "word": " ال", "probability": 0.70654296875}, {"start": 531.26, "end": 531.6, "word": " delta", "probability": 0.95458984375}, {"start": 531.6, "end": 532.22, "word": " قلنا", "probability": 0.7952473958333334}, {"start": 532.22, "end": 534.94, "word": " اصغر", "probability": 0.974853515625}, {"start": 534.94, "end": 535.28, "word": " منها", "probability": 0.986572265625}, {"start": 535.28, "end": 535.42, "word": " و", "probability": 0.71826171875}, {"start": 535.42, "end": 536.06, "word": " يساوي", "probability": 0.9185791015625}, {"start": 536.06, "end": 536.7, "word": " epsilon", "probability": 0.61279296875}, {"start": 536.7, "end": 537.34, "word": " هاي", "probability": 0.5552978515625}, {"start": 537.34, "end": 537.7, "word": " واحد", "probability": 0.916259765625}, {"start": 537.7, "end": 537.98, "word": " زي", "probability": 0.6416015625}, {"start": 537.98, "end": 538.6, "word": " اتنين", "probability": 0.8594970703125}], "temperature": 1.0}, {"id": 21, "seek": 56754, "start": 559.77, "end": 567.55, "text": "بشكل صحيح بما أن ابسلون أكبر من السفر was arbitrary", "tokens": [3555, 8592, 28820, 20328, 5016, 1829, 5016, 4724, 15042, 14739, 1975, 3555, 3794, 1211, 11536, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 390, 23211], "avg_logprob": -0.67875, "compression_ratio": 1.0125, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 559.77, "end": 561.01, "word": "بشكل", "probability": 0.3597615559895833}, {"start": 561.01, "end": 562.25, "word": " صحيح", "probability": 0.776885986328125}, {"start": 562.25, "end": 562.79, "word": " بما", "probability": 0.602294921875}, {"start": 562.79, "end": 563.13, "word": " أن", "probability": 0.65771484375}, {"start": 563.13, "end": 564.83, "word": " ابسلون", "probability": 0.64014892578125}, {"start": 564.83, "end": 565.23, "word": " أكبر", "probability": 0.8154296875}, {"start": 565.23, "end": 565.43, "word": " من", "probability": 0.9765625}, {"start": 565.43, "end": 565.97, "word": " السفر", "probability": 0.7117919921875}, {"start": 565.97, "end": 566.67, "word": " was", "probability": 0.1939697265625}, {"start": 566.67, "end": 567.55, "word": " arbitrary", "probability": 0.6435546875}], "temperature": 1.0}, {"id": 22, "seek": 59697, "start": 571.81, "end": 596.97, "text": "إذاً هيك بنكون أثباتنا لكل epsilon أكبر من السفر يوجد delta تعتمد على epsilon عدد موجة ب half لكل x المسافة مختلفة عن ال c والمسافة بينها وبين ال c أصغر من delta بتطلع المسافة بين f of x وc تربيه أصغر من epsilon إذاً we have", "tokens": [28814, 15730, 14111, 39896, 4117, 44945, 30544, 5551, 12984, 3555, 9307, 8315, 5296, 28820, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 7251, 29245, 3215, 8289, 6055, 34268, 2304, 3215, 15844, 17889, 6225, 3215, 3215, 3714, 29245, 3660, 4724, 1922, 5296, 28820, 2031, 9673, 3794, 31845, 3660, 3714, 46456, 46538, 3660, 18871, 2423, 269, 4032, 45340, 3794, 31845, 3660, 49374, 11296, 46599, 9957, 2423, 269, 5551, 9381, 17082, 2288, 9154, 8289, 39894, 9566, 1211, 3615, 9673, 3794, 31845, 3660, 49374, 283, 295, 2031, 4032, 66, 6055, 2288, 21292, 3224, 5551, 9381, 17082, 2288, 9154, 17889, 11933, 15730, 14111, 321, 362], "avg_logprob": -0.2414913313223584, "compression_ratio": 1.7475247524752475, "no_speech_prob": 0.0, "words": [{"start": 571.81, "end": 572.27, "word": "إذاً", "probability": 0.435791015625}, {"start": 572.27, "end": 572.47, "word": " هيك", "probability": 0.57763671875}, {"start": 572.47, "end": 572.71, "word": " بنكون", "probability": 0.6895751953125}, {"start": 572.71, "end": 573.29, "word": " أثباتنا", "probability": 0.93857421875}, {"start": 573.29, "end": 573.75, "word": " لكل", "probability": 0.934814453125}, {"start": 573.75, "end": 574.23, "word": " epsilon", "probability": 0.2861328125}, {"start": 574.23, "end": 574.69, "word": " أكبر", "probability": 0.96923828125}, {"start": 574.69, "end": 574.87, "word": " من", "probability": 0.98681640625}, {"start": 574.87, "end": 575.41, "word": " السفر", "probability": 0.7567545572916666}, {"start": 575.41, "end": 576.41, "word": " يوجد", "probability": 0.9482421875}, {"start": 576.41, "end": 576.83, "word": " delta", "probability": 0.390380859375}, {"start": 576.83, "end": 577.53, "word": " تعتمد", "probability": 0.9595947265625}, {"start": 577.53, "end": 577.69, "word": " على", "probability": 0.8828125}, {"start": 577.69, "end": 578.01, "word": " epsilon", "probability": 0.861328125}, {"start": 578.01, "end": 578.43, "word": " عدد", "probability": 0.7664388020833334}, {"start": 578.43, "end": 578.91, "word": " موجة", "probability": 0.8317057291666666}, {"start": 578.91, "end": 579.15, "word": " ب", "probability": 0.61083984375}, {"start": 579.15, "end": 579.57, "word": " half", "probability": 0.3720703125}, {"start": 579.57, "end": 580.65, "word": " لكل", "probability": 0.96484375}, {"start": 580.65, "end": 581.15, "word": " x", "probability": 0.5712890625}, {"start": 581.15, "end": 582.95, "word": " المسافة", "probability": 0.9447021484375}, {"start": 582.95, "end": 583.69, "word": " مختلفة", "probability": 0.896484375}, {"start": 583.69, "end": 583.91, "word": " عن", "probability": 0.982421875}, {"start": 583.91, "end": 584.11, "word": " ال", "probability": 0.78271484375}, {"start": 584.11, "end": 584.35, "word": " c", "probability": 0.2054443359375}, {"start": 584.35, "end": 585.25, "word": " والمسافة", "probability": 0.80966796875}, {"start": 585.25, "end": 585.53, "word": " بينها", "probability": 0.951904296875}, {"start": 585.53, "end": 585.93, "word": " وبين", "probability": 0.798095703125}, {"start": 585.93, "end": 586.39, "word": " ال", "probability": 0.8515625}, {"start": 586.39, "end": 586.71, "word": " c", "probability": 0.89453125}, {"start": 586.71, "end": 587.45, "word": " أصغر", "probability": 0.9915771484375}, {"start": 587.45, "end": 587.73, "word": " من", "probability": 0.99462890625}, {"start": 587.73, "end": 588.19, "word": " delta", "probability": 0.69287109375}, {"start": 588.19, "end": 589.73, "word": " بتطلع", "probability": 0.71539306640625}, {"start": 589.73, "end": 590.35, "word": " المسافة", "probability": 0.9876708984375}, {"start": 590.35, "end": 590.59, "word": " بين", "probability": 0.89404296875}, {"start": 590.59, "end": 590.87, "word": " f", "probability": 0.759765625}, {"start": 590.87, "end": 591.05, "word": " of", "probability": 0.64794921875}, {"start": 591.05, "end": 591.43, "word": " x", "probability": 0.93017578125}, {"start": 591.43, "end": 592.03, "word": " وc", "probability": 0.771728515625}, {"start": 592.03, "end": 592.59, "word": " تربيه", "probability": 0.7581787109375}, {"start": 592.59, "end": 593.21, "word": " أصغر", "probability": 0.99072265625}, {"start": 593.21, "end": 593.39, "word": " من", "probability": 0.994140625}, {"start": 593.39, "end": 593.77, "word": " epsilon", "probability": 0.87646484375}, {"start": 593.77, "end": 596.15, "word": " إذاً", "probability": 0.7867838541666666}, {"start": 596.15, "end": 596.43, "word": " we", "probability": 0.73876953125}, {"start": 596.43, "end": 596.97, "word": " have", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 23, "seek": 62033, "start": 599.35, "end": 620.33, "text": "By definition إن ال limit ل X تربيه لما X تقول إلى C بساوي C تربيه وهو المطلوب، okay؟ إذن هذا هو برهان إن ال limit للدالة التربيهية عن C بساوي C تربيه", "tokens": [27690, 7123, 36145, 2423, 4948, 5296, 1783, 6055, 2288, 21292, 3224, 5296, 15042, 1783, 6055, 39648, 30731, 383, 4724, 3794, 995, 45865, 383, 6055, 2288, 21292, 3224, 37037, 2407, 9673, 9566, 1211, 37746, 12399, 1392, 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موجب then absolute x minus c اصغر من delta اللى هو بساوي", "tokens": [10721, 8315, 43242, 7578, 2423, 747, 42963, 12610, 747, 1975, 8315, 43242, 7578, 2423, 269, 6225, 3215, 3215, 3714, 29245, 3555, 747, 8289, 4724, 3794, 995, 45865, 269, 15844, 1975, 2655, 1863, 9957, 23758, 6225, 3215, 3215, 3714, 29245, 3555, 550, 8236, 2031, 3175, 269, 1975, 9381, 17082, 2288, 9154, 8289, 13672, 7578, 31439, 4724, 3794, 995, 45865], "avg_logprob": -0.22801906880685838, "compression_ratio": 1.5507246376811594, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 779.37, "end": 779.99, "word": "أنا", "probability": 0.64990234375}, {"start": 779.99, "end": 780.57, "word": " عندى", "probability": 0.483154296875}, {"start": 780.57, "end": 780.81, "word": " ال", "probability": 0.79150390625}, {"start": 780.81, "end": 782.87, "word": " take", "probability": 0.444091796875}, {"start": 782.87, "end": 783.73, "word": " الاول", "probability": 0.79541015625}, {"start": 783.73, "end": 784.45, "word": " 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"word": " على", "probability": 0.86962890625}, {"start": 838.7, "end": 838.92, "word": " C", "probability": 0.9677734375}, {"start": 838.92, "end": 839.28, "word": " بيطلع", "probability": 0.7779541015625}, {"start": 839.28, "end": 839.86, "word": " أصغر", "probability": 0.9853515625}, {"start": 839.86, "end": 840.8, "word": " من", "probability": 0.9775390625}, {"start": 840.8, "end": 841.22, "word": " 2", "probability": 0.95751953125}, {"start": 841.22, "end": 841.52, "word": " على", "probability": 0.849609375}, {"start": 841.52, "end": 841.9, "word": " C", "probability": 0.94287109375}, {"start": 841.9, "end": 842.58, "word": " تربيه", "probability": 0.67236328125}, {"start": 842.58, "end": 847.1, "word": " وبالتالي", "probability": 0.9150390625}, {"start": 847.1, "end": 847.44, "word": " هذا", "probability": 0.5966796875}, {"start": 847.44, "end": 848.74, "word": " العدد", "probability": 0.79248046875}, {"start": 848.74, "end": 849.32, "word": " هذا", "probability": 0.79150390625}, {"start": 849.32, "end": 849.72, "word": " هو", "probability": 0.958984375}, {"start": 849.72, "end": 850.02, "word": " ال", "probability": 0.8193359375}, {"start": 850.02, "end": 850.3, "word": " M", "probability": 0.5263671875}, {"start": 850.3, "end": 853.54, "word": " عدد", "probability": 0.78564453125}, {"start": 853.54, "end": 854.02, "word": " موجة", "probability": 0.6365559895833334}, {"start": 854.02, "end": 856.32, "word": " إذا", "probability": 0.732177734375}], "temperature": 1.0}, {"id": 33, "seek": 88529, "start": 858.67, "end": 885.29, "text": "في الحالة هذه في الحالة هذه بصير عندي هذا أصغر من اتنين على C تربية وطبعا هذا أصغر من Delta Absolute X minus C طبعا بيكون أصغر من Delta الآن عشان يكون هذا أصغر من أو ساوي Epsilon", "tokens": [41185, 21542, 6027, 3660, 29538, 8978, 21542, 6027, 3660, 29538, 4724, 9381, 13546, 18871, 16254, 23758, 5551, 9381, 17082, 2288, 9154, 1975, 2655, 1863, 9957, 15844, 383, 6055, 25513, 10632, 4032, 9566, 3555, 3615, 995, 23758, 5551, 9381, 17082, 2288, 9154, 18183, 43965, 1169, 1783, 3175, 383, 23032, 3555, 3615, 995, 4724, 1829, 30544, 5551, 9381, 17082, 2288, 9154, 18183, 6024, 48506, 6225, 8592, 7649, 7251, 30544, 23758, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 462, 16592], "avg_logprob": -0.18808594178408383, "compression_ratio": 1.7125748502994012, "no_speech_prob": 0.0, "words": [{"start": 858.67, "end": 859.53, "word": "في", "probability": 0.6201171875}, {"start": 859.53, "end": 859.99, "word": " الحالة", "probability": 0.9513346354166666}, {"start": 859.99, "end": 860.43, "word": " هذه", "probability": 0.83447265625}, {"start": 860.43, "end": 862.89, "word": " في", "probability": 0.50732421875}, {"start": 862.89, "end": 868.29, "word": " الحالة", "probability": 0.9793294270833334}, {"start": 868.29, "end": 868.55, "word": " هذه", "probability": 0.9072265625}, {"start": 868.55, "end": 868.97, "word": " بصير", "probability": 0.77783203125}, {"start": 868.97, "end": 869.33, "word": " عندي", "probability": 0.67919921875}, {"start": 869.33, "end": 869.63, "word": " هذا", "probability": 0.92919921875}, {"start": 869.63, "end": 870.29, "word": " أصغر", "probability": 0.89990234375}, {"start": 870.29, "end": 870.61, "word": " من", "probability": 0.98681640625}, {"start": 870.61, "end": 872.23, "word": " اتنين", "probability": 0.8431396484375}, {"start": 872.23, "end": 872.55, "word": " على", "probability": 0.693359375}, {"start": 872.55, "end": 873.13, "word": " C", "probability": 0.36279296875}, {"start": 873.13, "end": 873.79, "word": " تربية", "probability": 0.8759765625}, {"start": 873.79, "end": 874.91, "word": " وطبعا", "probability": 0.8685546875}, {"start": 874.91, "end": 875.19, "word": " هذا", "probability": 0.9521484375}, {"start": 875.19, "end": 875.79, "word": " أصغر", "probability": 0.935546875}, {"start": 875.79, "end": 876.05, "word": " من", "probability": 0.99609375}, {"start": 876.05, "end": 876.53, "word": " Delta", "probability": 0.498779296875}, {"start": 876.53, "end": 878.19, "word": " Absolute", "probability": 0.685302734375}, {"start": 878.19, "end": 878.39, "word": " X", "probability": 0.73583984375}, {"start": 878.39, "end": 878.67, "word": " minus", "probability": 0.7880859375}, {"start": 878.67, "end": 878.87, "word": " C", "probability": 0.84228515625}, {"start": 878.87, "end": 879.07, "word": " طبعا", "probability": 0.928466796875}, {"start": 879.07, "end": 879.43, "word": " بيكون", "probability": 0.7880859375}, {"start": 879.43, "end": 879.77, "word": " أصغر", "probability": 0.9676513671875}, {"start": 879.77, "end": 879.95, "word": " من", "probability": 0.99462890625}, {"start": 879.95, "end": 880.35, "word": " Delta", "probability": 0.921875}, {"start": 880.35, "end": 881.47, "word": " الآن", "probability": 0.6727294921875}, {"start": 881.47, "end": 881.99, "word": " عشان", "probability": 0.98291015625}, {"start": 881.99, "end": 882.47, "word": " يكون", "probability": 0.994873046875}, {"start": 882.47, "end": 882.85, "word": " هذا", "probability": 0.98779296875}, {"start": 882.85, "end": 883.53, "word": " أصغر", "probability": 0.9722900390625}, {"start": 883.53, "end": 883.79, "word": " من", "probability": 0.9912109375}, {"start": 883.79, "end": 883.99, "word": " أو", "probability": 0.86376953125}, {"start": 883.99, "end": 884.69, "word": " ساوي", "probability": 0.7649739583333334}, {"start": 884.69, "end": 885.29, "word": " Epsilon", "probability": 0.611572265625}], "temperature": 1.0}, {"id": 34, "seek": 90944, "start": 886.22, "end": 909.44, "text": "فنختار choose الـ delta أصغر من أو ساوي حل المتباينة هذه في الـ delta فالـ delta ستصبح أصغر من أو ساوي C تربيع على 2 تلصق فهي قيمة تانية لـ delta فبأخد الـ delta ال minimum للقيمة الأولى", "tokens": [5172, 1863, 46456, 9640, 2826, 2423, 39184, 8289, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 11331, 1211, 9673, 2655, 3555, 995, 9957, 3660, 29538, 8978, 2423, 39184, 8289, 6156, 6027, 39184, 8289, 8608, 2655, 9381, 49628, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 383, 6055, 2288, 21292, 3615, 15844, 568, 6055, 1211, 9381, 4587, 6156, 3224, 1829, 12174, 32640, 3660, 6055, 7649, 10632, 5296, 39184, 8289, 6156, 3555, 10721, 9778, 3215, 2423, 39184, 8289, 2423, 7285, 24976, 4587, 32640, 3660, 16247, 12610, 7578], "avg_logprob": -0.35440342365340755, "compression_ratio": 1.6857142857142857, "no_speech_prob": 0.0, "words": [{"start": 886.22, "end": 887.08, "word": "فنختار", "probability": 0.621124267578125}, {"start": 887.08, "end": 887.8, "word": " choose", "probability": 0.339599609375}, {"start": 887.8, "end": 888.24, "word": " الـ", "probability": 0.6513671875}, {"start": 888.24, "end": 888.62, "word": " delta", "probability": 0.48291015625}, {"start": 888.62, "end": 890.32, "word": " أصغر", "probability": 0.9464111328125}, {"start": 890.32, "end": 890.54, "word": " من", "probability": 0.9736328125}, {"start": 890.54, "end": 890.78, "word": " أو", "probability": 0.9697265625}, {"start": 890.78, "end": 891.44, "word": " ساوي", "probability": 0.931640625}, {"start": 891.44, "end": 892.82, "word": " حل", "probability": 0.6385498046875}, {"start": 892.82, "end": 893.6, "word": " المتباينة", "probability": 0.7508951822916666}, {"start": 893.6, "end": 893.82, "word": " هذه", "probability": 0.271240234375}, {"start": 893.82, "end": 893.98, "word": " في", "probability": 0.7470703125}, {"start": 893.98, "end": 894.08, "word": " الـ", "probability": 0.573486328125}, {"start": 894.08, "end": 894.34, "word": " delta", "probability": 0.69140625}, {"start": 894.34, "end": 896.12, "word": " فالـ", "probability": 0.5623372395833334}, {"start": 896.12, "end": 896.32, "word": " delta", "probability": 0.92236328125}, {"start": 896.32, "end": 896.72, "word": " ستصبح", "probability": 0.69683837890625}, {"start": 896.72, "end": 897.14, "word": " أصغر", "probability": 0.9884033203125}, {"start": 897.14, "end": 897.28, "word": " من", "probability": 0.98388671875}, {"start": 897.28, "end": 897.5, "word": " أو", "probability": 0.97900390625}, {"start": 897.5, "end": 898.22, "word": " ساوي", "probability": 0.9684244791666666}, {"start": 898.22, "end": 899.4, "word": " C", "probability": 0.400146484375}, {"start": 899.4, "end": 900.3, "word": " تربيع", "probability": 0.672119140625}, {"start": 900.3, "end": 900.54, "word": " على", "probability": 0.81005859375}, {"start": 900.54, "end": 901.08, "word": " 2", "probability": 0.728515625}, {"start": 901.08, "end": 901.94, "word": " تلصق", "probability": 0.3410186767578125}, {"start": 901.94, "end": 903.4, "word": " فهي", "probability": 0.4742228190104167}, {"start": 903.4, "end": 903.92, "word": " قيمة", "probability": 0.9736328125}, {"start": 903.92, "end": 904.28, "word": " تانية", "probability": 0.9864908854166666}, {"start": 904.28, "end": 904.54, "word": " لـ", "probability": 0.781005859375}, {"start": 904.54, "end": 904.78, "word": " delta", "probability": 0.7890625}, {"start": 904.78, "end": 906.42, "word": " فبأخد", "probability": 0.672265625}, {"start": 906.42, "end": 906.54, "word": " الـ", "probability": 0.62646484375}, {"start": 906.54, "end": 906.78, "word": " delta", "probability": 0.94189453125}, {"start": 906.78, "end": 906.94, "word": " ال", "probability": 0.67138671875}, {"start": 906.94, "end": 907.42, "word": " minimum", "probability": 0.8046875}, {"start": 907.42, "end": 908.84, "word": " للقيمة", "probability": 0.9083251953125}, {"start": 908.84, "end": 909.44, "word": " الأولى", "probability": 0.9837239583333334}], "temperature": 1.0}, {"id": 35, "seek": 93716, "start": 910.56, "end": 937.16, "text": "والقيمة التانية هذا هيخلي انه لكل x المسافة بين او بين c اصغر من delta هتخلي المسافة بين f of x واحد على c اصغر من ال given epsilon نكتب الكلام هذا let epsilon be given choose delta بالساوي ال minimum نختار delta ال minimum", "tokens": [2407, 6027, 4587, 32640, 3660, 16712, 7649, 10632, 23758, 39896, 9778, 20292, 16472, 3224, 5296, 28820, 2031, 9673, 3794, 31845, 3660, 49374, 1975, 2407, 49374, 269, 1975, 9381, 17082, 2288, 9154, 8289, 8032, 2655, 9778, 20292, 9673, 3794, 31845, 3660, 49374, 283, 295, 2031, 36764, 24401, 15844, 269, 1975, 9381, 17082, 2288, 9154, 2423, 2212, 17889, 8717, 4117, 2655, 3555, 2423, 28820, 10943, 23758, 718, 17889, 312, 2212, 2826, 8289, 20666, 3794, 995, 2407, 1829, 2423, 7285, 8717, 46456, 9640, 8289, 2423, 7285], "avg_logprob": -0.21112351243694624, "compression_ratio": 1.7421052631578948, "no_speech_prob": 0.0, "words": [{"start": 910.56, "end": 911.28, "word": "والقيمة", "probability": 0.79296875}, {"start": 911.28, "end": 911.76, "word": " التانية", "probability": 0.96142578125}, {"start": 911.76, "end": 912.6, "word": " هذا", "probability": 0.43212890625}, {"start": 912.6, "end": 913.34, "word": " هيخلي", "probability": 0.604248046875}, {"start": 913.34, "end": 914.3, "word": " انه", "probability": 0.642822265625}, {"start": 914.3, "end": 914.72, "word": " لكل", "probability": 0.974365234375}, {"start": 914.72, "end": 915.1, "word": " x", "probability": 0.5458984375}, {"start": 915.1, "end": 915.7, "word": " المسافة", "probability": 0.956787109375}, {"start": 915.7, "end": 915.88, "word": " بين", "probability": 0.9677734375}, {"start": 915.88, "end": 916.04, "word": " او", "probability": 0.656982421875}, {"start": 916.04, "end": 916.3, "word": " بين", "probability": 0.634765625}, {"start": 916.3, "end": 916.44, "word": " c", "probability": 0.7392578125}, {"start": 916.44, "end": 916.8, "word": " اصغر", "probability": 0.8704833984375}, {"start": 916.8, "end": 916.98, "word": " من", "probability": 0.990234375}, {"start": 916.98, "end": 917.3, "word": " delta", "probability": 0.391845703125}, {"start": 917.3, "end": 918.5, "word": " هتخلي", "probability": 0.7933349609375}, {"start": 918.5, "end": 919.12, "word": " المسافة", "probability": 0.9908447265625}, {"start": 919.12, "end": 919.32, "word": " بين", "probability": 0.78271484375}, {"start": 919.32, "end": 919.54, "word": " f", "probability": 0.82177734375}, {"start": 919.54, "end": 919.72, "word": " of", "probability": 0.70556640625}, {"start": 919.72, "end": 919.9, "word": " x", "probability": 0.96142578125}, {"start": 919.9, "end": 920.32, "word": " واحد", "probability": 0.7105712890625}, {"start": 920.32, "end": 920.48, "word": " على", "probability": 0.5859375}, {"start": 920.48, "end": 920.8, "word": " c", "probability": 0.95458984375}, {"start": 920.8, "end": 921.44, "word": " اصغر", "probability": 0.9639892578125}, {"start": 921.44, "end": 921.74, "word": " من", "probability": 0.99267578125}, {"start": 921.74, "end": 922.48, "word": " ال", "probability": 0.69580078125}, {"start": 922.48, "end": 922.8, "word": " given", "probability": 0.85498046875}, {"start": 922.8, "end": 923.32, "word": " epsilon", "probability": 0.87451171875}, {"start": 923.32, "end": 925.26, "word": " نكتب", "probability": 0.9781494140625}, {"start": 925.26, "end": 925.68, "word": " الكلام", "probability": 0.9415690104166666}, {"start": 925.68, "end": 926.06, "word": " هذا", "probability": 0.921875}, {"start": 926.06, "end": 926.28, "word": " let", "probability": 0.8779296875}, {"start": 926.28, "end": 926.72, "word": " epsilon", "probability": 0.96484375}, {"start": 926.72, "end": 926.94, "word": " be", "probability": 0.87548828125}, {"start": 926.94, "end": 927.3, "word": " given", "probability": 0.89697265625}, {"start": 927.3, "end": 927.72, "word": " choose", "probability": 0.70751953125}, {"start": 927.72, "end": 928.08, "word": " delta", "probability": 0.91259765625}, {"start": 928.08, "end": 928.68, "word": " بالساوي", "probability": 0.74384765625}, {"start": 928.68, "end": 928.78, "word": " ال", "probability": 0.54345703125}, {"start": 928.78, "end": 929.24, "word": " minimum", "probability": 0.9697265625}, {"start": 929.24, "end": 936.26, "word": " نختار", "probability": 0.9775390625}, {"start": 936.26, "end": 936.58, "word": " delta", "probability": 0.50830078125}, {"start": 936.58, "end": 936.82, "word": " ال", "probability": 0.8681640625}, {"start": 936.82, "end": 937.16, "word": " minimum", "probability": 0.986328125}], "temperature": 1.0}, {"id": 36, "seek": 94661, "start": 938.87, "end": 946.61, "text": "للعدد الموجة بـ c ع 2، والعدد التاني ده هو c تربيه ع 2 في epsilon", "tokens": [1211, 1211, 22488, 3215, 9673, 29245, 3660, 4724, 39184, 269, 6225, 568, 12399, 16070, 22488, 3215, 16712, 7649, 1829, 11778, 3224, 31439, 269, 6055, 2288, 21292, 3224, 6225, 568, 8978, 17889], "avg_logprob": -0.4846191331744194, "compression_ratio": 1.1428571428571428, "no_speech_prob": 0.0, "words": [{"start": 938.87, "end": 939.65, "word": "للعدد", "probability": 0.656768798828125}, {"start": 939.65, "end": 940.19, "word": " الموجة", "probability": 0.8050130208333334}, {"start": 940.19, "end": 940.37, "word": " بـ", "probability": 0.480712890625}, {"start": 940.37, "end": 940.53, "word": " c", "probability": 0.3017578125}, {"start": 940.53, "end": 940.65, "word": " ع", "probability": 0.2315673828125}, {"start": 940.65, "end": 941.27, "word": " 2،", "probability": 0.35205078125}, {"start": 941.27, "end": 942.03, "word": " والعدد", "probability": 0.8055013020833334}, {"start": 942.03, "end": 942.49, "word": " التاني", "probability": 0.9251302083333334}, {"start": 942.49, "end": 942.73, "word": " ده", "probability": 0.56048583984375}, {"start": 942.73, "end": 943.09, "word": " هو", "probability": 0.8623046875}, {"start": 943.09, "end": 944.65, "word": " c", "probability": 0.70654296875}, {"start": 944.65, "end": 945.27, "word": " تربيه", "probability": 0.68975830078125}, {"start": 945.27, "end": 945.39, "word": " ع", "probability": 0.7275390625}, {"start": 945.39, "end": 945.89, "word": " 2", "probability": 0.97607421875}, {"start": 945.89, "end": 946.23, "word": " في", "probability": 0.73974609375}, {"start": 946.23, "end": 946.61, "word": " epsilon", "probability": 0.294189453125}], "temperature": 1.0}, {"id": 37, "seek": 97574, "start": 947.9, "end": 975.74, "text": "طبعا هذا عدد أكيد عدد موجب لأن 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"word": " التعريف", "probability": 0.9593505859375}, {"start": 1142.61, "end": 1149.57, "word": " sequential", "probability": 0.8916015625}, {"start": 1149.57, "end": 1152.75, "word": " criterion", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 45, "seek": 118886, "start": 1185.93, "end": 1188.87, "text": "العبارات التالية متكافعة", "tokens": [6027, 3615, 3555, 9640, 9307, 16712, 6027, 10632, 44650, 4117, 31845, 27884], "avg_logprob": -0.22866586996958807, "compression_ratio": 0.9583333333333334, "no_speech_prob": 0.0, "words": [{"start": 1185.9299999999998, "end": 1187.33, "word": "العبارات", "probability": 0.80751953125}, {"start": 1187.33, "end": 1187.89, "word": " التالية", "probability": 0.8312174479166666}, {"start": 1187.89, "end": 1188.87, "word": " متكافعة", "probability": 0.8697509765625}], "temperature": 1.0}, {"id": 46, "seek": 120329, "start": 1190.31, "end": 1203.29, "text": "Limit f of x as x tends to c بساوي عدد L بغند عدد حقيقي اتنين for every", "tokens": 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have limit الـimage لسيكوينس xn as n tends to infinity بالساوي العدد القليل", "tokens": [2994, 633, 8310, 2031, 77, 16212, 294, 316, 4032, 24401, 23328, 11296, 3714, 46456, 46538, 3660, 18871, 2423, 39184, 34, 1270, 300, 4948, 2031, 77, 20666, 3794, 995, 45865, 383, 321, 362, 4948, 2423, 39184, 26624, 5296, 3794, 1829, 4117, 2407, 9957, 3794, 2031, 77, 382, 297, 12258, 281, 13202, 20666, 3794, 995, 45865, 18863, 3215, 3215, 25062, 20292, 1211], "avg_logprob": -0.3058401580716743, "compression_ratio": 1.3233532934131738, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1206.41, "end": 1206.83, "word": "for", "probability": 0.052642822265625}, {"start": 1206.83, "end": 1207.51, "word": " every", "probability": 0.77880859375}, {"start": 1207.51, "end": 1208.43, "word": " sequence", "probability": 0.96337890625}, {"start": 1208.43, "end": 1209.39, "word": " xn", "probability": 0.56005859375}, {"start": 1209.39, "end": 1211.35, "word": " contained", "probability": 0.763671875}, 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1975, 2655, 1863, 9957, 6225, 8592, 7649, 8717, 12984, 3555, 2655, 1975, 2655, 1863, 9957, 20328, 5016, 1829, 5016, 281, 7081, 732, 8118], "avg_logprob": -0.22743055129808093, "compression_ratio": 1.3953488372093024, "no_speech_prob": 0.0, "words": [{"start": 1290.95, "end": 1291.33, "word": "الـ", "probability": 0.2850341796875}, {"start": 1291.33, "end": 1291.71, "word": " limit", "probability": 0.794921875}, {"start": 1291.71, "end": 1293.87, "word": " لأخب", "probability": 0.5859375}, {"start": 1293.87, "end": 1294.27, "word": " X", "probability": 0.65185546875}, {"start": 1294.27, "end": 1294.61, "word": " لما", "probability": 0.77392578125}, {"start": 1294.61, "end": 1295.01, "word": " X", "probability": 0.9404296875}, {"start": 1295.01, "end": 1295.49, "word": " تقول", "probability": 0.83349609375}, {"start": 1295.49, "end": 1295.79, "word": " لـ", "probability": 0.56982421875}, {"start": 1295.79, "end": 1296.03, "word": " C", "probability": 0.43212890625}, {"start": 1296.03, "end": 1296.69, "word": " بساوي", "probability": 0.84033203125}, {"start": 1296.69, "end": 1297.09, "word": " العدد", "probability": 0.9568684895833334}, {"start": 1297.09, "end": 1297.47, "word": " M", "probability": 0.10577392578125}, {"start": 1297.47, "end": 1304.07, "word": " عايزين", "probability": 0.9656982421875}, {"start": 1304.07, "end": 1305.01, "word": " نثبت", "probability": 0.9658203125}, {"start": 1305.01, "end": 1308.45, "word": " عشان", "probability": 0.912109375}, {"start": 1308.45, "end": 1308.87, "word": " نثبت", "probability": 0.994384765625}, {"start": 1308.87, "end": 1309.41, "word": " اتنين", "probability": 0.9097900390625}, {"start": 1309.41, "end": 1310.73, "word": " عشان", "probability": 0.8033040364583334}, {"start": 1310.73, "end": 1311.07, "word": " نثبت", "probability": 0.994384765625}, {"start": 1311.07, "end": 1311.39, "word": " اتنين", "probability": 0.9892578125}, {"start": 1311.39, "end": 1312.15, "word": " صحيح", "probability": 0.9970703125}, {"start": 1312.15, "end": 1315.25, "word": " to", "probability": 0.73583984375}, {"start": 1315.25, "end": 1315.85, "word": " prove", "probability": 0.96435546875}, {"start": 1315.85, "end": 1317.61, "word": " two", "probability": 0.91162109375}, {"start": 1317.61, "end": 1318.19, "word": " holes", "probability": 0.5546875}], "temperature": 1.0}, {"id": 51, "seek": 134696, "start": 1320.72, "end": 1346.96, "text": "to prove two holds let Xn be a sequence in A هدودها مختلفة عن الـC such that limit Xn بالساوي C we claim", "tokens": [1353, 7081, 732, 9190, 718, 1783, 77, 312, 257, 8310, 294, 316, 8032, 3215, 23328, 11296, 3714, 46456, 46538, 3660, 18871, 2423, 39184, 34, 1270, 300, 4948, 1783, 77, 20666, 3794, 995, 45865, 383, 321, 3932], "avg_logprob": -0.26583614220490326, "compression_ratio": 1.032258064516129, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1320.72, "end": 1320.94, "word": "to", "probability": 0.06817626953125}, {"start": 1320.94, "end": 1321.4, "word": " prove", "probability": 0.94384765625}, {"start": 1321.4, "end": 1321.76, "word": " two", "probability": 0.90625}, {"start": 1321.76, "end": 1322.46, "word": " holds", "probability": 0.58740234375}, {"start": 1322.46, "end": 1325.5, "word": " let", "probability": 0.6103515625}, {"start": 1325.5, "end": 1327.92, "word": " Xn", "probability": 0.494140625}, {"start": 1327.92, "end": 1329.42, "word": " be", "probability": 0.69970703125}, {"start": 1329.42, "end": 1329.84, "word": " a", "probability": 0.92529296875}, {"start": 1329.84, "end": 1330.48, "word": " sequence", "probability": 0.97412109375}, {"start": 1330.48, "end": 1333.06, "word": " in", "probability": 0.83984375}, {"start": 1333.06, "end": 1333.66, "word": " A", "probability": 0.91796875}, {"start": 1333.66, "end": 1334.76, "word": " هدودها", "probability": 0.8714599609375}, {"start": 1334.76, "end": 1335.84, "word": " مختلفة", "probability": 0.981689453125}, {"start": 1335.84, "end": 1336.48, "word": " عن", "probability": 0.98291015625}, {"start": 1336.48, "end": 1336.92, "word": " الـC", "probability": 0.73779296875}, {"start": 1336.92, "end": 1337.38, "word": " such", "probability": 0.89697265625}, {"start": 1337.38, "end": 1337.92, "word": " that", "probability": 0.95654296875}, {"start": 1337.92, "end": 1339.3, "word": " limit", "probability": 0.95703125}, {"start": 1339.3, "end": 1340.46, "word": " Xn", "probability": 0.892333984375}, {"start": 1340.46, "end": 1341.4, "word": " بالساوي", "probability": 0.704345703125}, {"start": 1341.4, "end": 1341.88, "word": " C", "probability": 0.8515625}, {"start": 1341.88, "end": 1344.64, "word": " we", "probability": 0.4716796875}, {"start": 1344.64, "end": 1346.96, "word": " claim", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 52, "seek": 137702, "start": 1350.36, "end": 1377.02, "text": "بت ال limit ل f of x ل f of x n لما n تقول ل infinity دي ساوي L لبرهان ذلك let epsilon أكبر من السفر be given", "tokens": [3555, 2655, 2423, 4948, 5296, 283, 295, 2031, 5296, 283, 295, 2031, 297, 5296, 15042, 297, 6055, 39648, 5296, 13202, 11778, 1829, 8608, 995, 45865, 441, 5296, 26890, 3224, 7649, 29910, 23275, 718, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 312, 2212], "avg_logprob": -0.3707386383956129, "compression_ratio": 1.192, "no_speech_prob": 0.0, "words": [{"start": 1350.36, "end": 1351.36, "word": "بت", "probability": 0.167327880859375}, {"start": 1351.36, "end": 1352.36, "word": " ال", "probability": 0.430908203125}, {"start": 1352.36, "end": 1352.82, "word": " limit", "probability": 0.814453125}, {"start": 1352.82, "end": 1354.92, "word": " ل", "probability": 0.90869140625}, {"start": 1354.92, "end": 1355.48, "word": " f", "probability": 0.35595703125}, {"start": 1355.48, "end": 1355.76, "word": " of", "probability": 0.5166015625}, {"start": 1355.76, "end": 1356.2, "word": " x", "probability": 0.93603515625}, {"start": 1356.2, "end": 1356.48, "word": " ل", "probability": 0.297607421875}, {"start": 1356.48, "end": 1357.3, "word": " f", "probability": 0.7216796875}, {"start": 1357.3, "end": 1357.8, "word": " of", "probability": 0.95654296875}, {"start": 1357.8, "end": 1358.22, "word": " x", "probability": 0.9853515625}, {"start": 1358.22, "end": 1358.68, "word": " n", "probability": 0.1898193359375}, {"start": 1358.68, "end": 1365.32, "word": " لما", "probability": 0.9189453125}, {"start": 1365.32, "end": 1365.72, "word": " n", "probability": 0.66552734375}, {"start": 1365.72, "end": 1366.14, "word": " تقول", "probability": 0.7568359375}, {"start": 1366.14, "end": 1366.34, "word": " ل", "probability": 0.22509765625}, {"start": 1366.34, "end": 1366.8, "word": " infinity", "probability": 0.77783203125}, {"start": 1366.8, "end": 1367.24, "word": " دي", "probability": 0.6268310546875}, {"start": 1367.24, "end": 1367.76, "word": " ساوي", "probability": 0.9016927083333334}, {"start": 1367.76, "end": 1368.12, "word": " L", "probability": 0.6435546875}, {"start": 1368.12, "end": 1369.48, "word": " لبرهان", "probability": 0.87939453125}, {"start": 1369.48, "end": 1370.02, "word": " ذلك", "probability": 0.986083984375}, {"start": 1370.02, "end": 1371.62, "word": " let", "probability": 0.72119140625}, {"start": 1371.62, "end": 1372.34, "word": " epsilon", "probability": 0.80615234375}, {"start": 1372.34, "end": 1375.4, "word": " أكبر", "probability": 0.9098307291666666}, {"start": 1375.4, "end": 1375.62, "word": " من", "probability": 0.99609375}, {"start": 1375.62, "end": 1376.14, "word": " السفر", "probability": 0.8115234375}, {"start": 1376.14, "end": 1376.42, "word": " be", "probability": 0.9052734375}, {"start": 1376.42, "end": 1377.02, "word": " given", "probability": 0.86865234375}], "temperature": 1.0}, {"id": 53, "seek": 138844, "start": 1382.18, "end": 1388.44, "text": "سنس اكس اكس اكس اكس", "tokens": [3794, 1863, 3794, 1975, 4117, 3794, 1975, 4117, 3794, 1975, 4117, 3794, 1975, 4117, 3794], "avg_logprob": -0.7822265848517418, "compression_ratio": 1.5454545454545454, "no_speech_prob": 0.0, "words": [{"start": 1382.1799999999998, "end": 1383.58, "word": "سنس", "probability": 0.4384358723958333}, {"start": 1383.58, "end": 1384.98, "word": " اكس", "probability": 0.6590169270833334}, {"start": 1384.98, "end": 1387.26, "word": " اكس", "probability": 0.6241455078125}, {"start": 1387.26, "end": 1387.32, "word": " اكس", "probability": 0.7301432291666666}, {"start": 1387.32, "end": 1388.44, "word": " اكس", "probability": 0.8541666666666666}], "temperature": 1.0}, {"id": 54, "seek": 141373, "start": 1390.77, "end": 1413.73, "text": "بما أننا فرضين limit f of x لما x تقوله c بالساوي L من تعريف epsilon دلتا لل limit إذا يوجد دلتا تعتمد على epsilon عدد موجب بحيث أنه لكل x ينتمي إلى a وabsolute x minus c أكبر من صفر أصغر من دلتا", "tokens": [3555, 15042, 14739, 8315, 6156, 43042, 9957, 4948, 283, 295, 2031, 5296, 15042, 2031, 6055, 39648, 3224, 269, 20666, 3794, 995, 45865, 441, 9154, 37279, 16572, 5172, 17889, 11778, 1211, 2655, 995, 24976, 4948, 11933, 15730, 7251, 29245, 3215, 11778, 1211, 2655, 995, 6055, 34268, 2304, 3215, 15844, 17889, 6225, 3215, 3215, 3714, 29245, 3555, 4724, 5016, 1829, 12984, 14739, 3224, 5296, 28820, 2031, 7251, 29399, 2304, 1829, 30731, 257, 4032, 17243, 401, 1169, 2031, 3175, 269, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 5551, 9381, 17082, 2288, 9154, 11778, 1211, 2655, 995], "avg_logprob": -0.3036901500630886, "compression_ratio": 1.517766497461929, "no_speech_prob": 0.10906982421875, "words": [{"start": 1390.77, "end": 1391.41, "word": "بما", "probability": 0.2926025390625}, {"start": 1391.41, "end": 1391.63, "word": " أننا", "probability": 0.652587890625}, {"start": 1391.63, "end": 1392.23, "word": " فرضين", "probability": 0.68798828125}, {"start": 1392.23, "end": 1392.53, "word": " limit", "probability": 0.3076171875}, {"start": 1392.53, "end": 1392.85, "word": " f", "probability": 0.6328125}, {"start": 1392.85, "end": 1393.11, "word": " of", "probability": 0.1978759765625}, {"start": 1393.11, "end": 1393.45, "word": " x", "probability": 0.85693359375}, {"start": 1393.45, "end": 1394.49, "word": " لما", "probability": 0.6160888671875}, {"start": 1394.49, "end": 1394.77, "word": " x", "probability": 0.78076171875}, {"start": 1394.77, "end": 1395.35, "word": " تقوله", "probability": 0.4869384765625}, {"start": 1395.35, "end": 1395.61, "word": " c", "probability": 0.64453125}, {"start": 1395.61, "end": 1396.49, "word": " بالساوي", "probability": 0.65411376953125}, {"start": 1396.49, "end": 1396.91, "word": " L", "probability": 0.55712890625}, {"start": 1396.91, "end": 1397.79, "word": " من", "probability": 0.93408203125}, {"start": 1397.79, "end": 1398.23, "word": " تعريف", "probability": 0.98974609375}, {"start": 1398.23, "end": 1398.61, "word": " epsilon", "probability": 0.55517578125}, {"start": 1398.61, "end": 1399.03, "word": " دلتا", "probability": 0.66650390625}, {"start": 1399.03, "end": 1399.19, "word": " لل", "probability": 0.7890625}, {"start": 1399.19, "end": 1399.57, "word": " limit", "probability": 0.751953125}, {"start": 1399.57, "end": 1400.39, "word": " إذا", "probability": 0.58984375}, {"start": 1400.39, "end": 1400.95, "word": " يوجد", "probability": 0.9365234375}, {"start": 1400.95, "end": 1401.45, "word": " دلتا", "probability": 0.7928466796875}, {"start": 1401.45, "end": 1402.19, "word": " تعتمد", "probability": 0.9664306640625}, {"start": 1402.19, "end": 1402.45, "word": " على", "probability": 0.8828125}, {"start": 1402.45, "end": 1403.07, "word": " epsilon", "probability": 0.79736328125}, {"start": 1403.07, "end": 1403.79, "word": " عدد", "probability": 0.9775390625}, {"start": 1403.79, "end": 1404.41, "word": " موجب", "probability": 0.8723958333333334}, {"start": 1404.41, "end": 1405.25, "word": " بحيث", "probability": 0.935546875}, {"start": 1405.25, "end": 1405.79, "word": " أنه", "probability": 0.71630859375}, {"start": 1405.79, "end": 1406.75, "word": " لكل", "probability": 0.976318359375}, {"start": 1406.75, "end": 1407.09, "word": " x", "probability": 0.9150390625}, {"start": 1407.09, "end": 1407.77, "word": " ينتمي", "probability": 0.97802734375}, {"start": 1407.77, "end": 1408.09, "word": " إلى", "probability": 0.9443359375}, {"start": 1408.09, "end": 1408.61, "word": " a", "probability": 0.63330078125}, {"start": 1408.61, "end": 1410.01, "word": " وabsolute", "probability": 0.74432373046875}, {"start": 1410.01, "end": 1410.39, "word": " x", "probability": 0.90673828125}, {"start": 1410.39, "end": 1410.91, "word": " minus", "probability": 0.900390625}, {"start": 1410.91, "end": 1411.31, "word": " c", "probability": 0.9287109375}, {"start": 1411.31, "end": 1411.83, "word": " أكبر", "probability": 0.9583333333333334}, {"start": 1411.83, "end": 1412.07, "word": " من", "probability": 0.99072265625}, {"start": 1412.07, "end": 1412.45, "word": " صفر", "probability": 0.6932779947916666}, {"start": 1412.45, "end": 1412.93, "word": " أصغر", "probability": 0.98046875}, {"start": 1412.93, "end": 1413.13, "word": " من", "probability": 0.99169921875}, {"start": 1413.13, "end": 1413.73, "word": " دلتا", "probability": 0.8260498046875}], "temperature": 1.0}, {"id": 55, "seek": 143376, "start": 1422.74, "end": 1433.76, "text": "أبسلون دلتا للنهايات نسمي ال implication هذه star", "tokens": [10721, 3555, 3794, 1211, 11536, 11778, 1211, 2655, 995, 24976, 1863, 11296, 1829, 9307, 8717, 38251, 1829, 2423, 37814, 29538, 3543], "avg_logprob": -0.5454545698382638, "compression_ratio": 0.95, "no_speech_prob": 0.0, "words": [{"start": 1422.74, "end": 1423.84, "word": "أبسلون", "probability": 0.506982421875}, {"start": 1423.84, "end": 1424.3, "word": " دلتا", "probability": 0.8829345703125}, {"start": 1424.3, "end": 1425.6, "word": " للنهايات", "probability": 0.7875732421875}, {"start": 1425.6, "end": 1432.08, "word": " نسمي", "probability": 0.6534830729166666}, {"start": 1432.08, "end": 1432.14, "word": " ال", "probability": 0.90234375}, {"start": 1432.14, "end": 1432.72, "word": " implication", "probability": 0.71923828125}, {"start": 1432.72, "end": 1433.24, "word": " هذه", "probability": 0.64794921875}, {"start": 1433.24, "end": 1433.76, "word": " star", "probability": 0.5322265625}], "temperature": 1.0}, {"id": 56, "seek": 145908, "start": 1441.58, "end": 1459.08, "text": "And the limit xn بالساوي سي احنا فرضين ان في انديو سيكوينس xn ونهايتها c then for the above", "tokens": [5289, 264, 4948, 2031, 77, 20666, 3794, 995, 45865, 8608, 1829, 1975, 5016, 8315, 6156, 43042, 9957, 16472, 8978, 16472, 16254, 2407, 8608, 1829, 4117, 2407, 9957, 3794, 2031, 77, 4032, 1863, 11296, 36081, 11296, 269, 550, 337, 264, 3673], "avg_logprob": -0.5415396574066906, "compression_ratio": 1.1666666666666667, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1441.58, "end": 1442.04, "word": "And", "probability": 0.056304931640625}, {"start": 1442.04, "end": 1442.26, "word": " the", "probability": 0.264404296875}, {"start": 1442.26, "end": 1442.72, "word": " limit", "probability": 0.87548828125}, {"start": 1442.72, "end": 1444.84, "word": " xn", "probability": 0.327880859375}, {"start": 1444.84, "end": 1445.64, "word": " بالساوي", "probability": 0.609527587890625}, {"start": 1445.64, "end": 1446.02, "word": " سي", "probability": 0.49957275390625}, {"start": 1446.02, "end": 1446.24, "word": " احنا", "probability": 0.7256266276041666}, {"start": 1446.24, "end": 1446.68, "word": " فرضين", "probability": 0.8702799479166666}, {"start": 1446.68, "end": 1446.78, "word": " ان", "probability": 0.7822265625}, {"start": 1446.78, "end": 1446.94, "word": " في", "probability": 0.80908203125}, {"start": 1446.94, "end": 1447.3, "word": " انديو", "probability": 0.5768636067708334}, {"start": 1447.3, "end": 1447.98, "word": " سيكوينس", "probability": 0.7060139973958334}, {"start": 1447.98, "end": 1449.46, "word": " xn", "probability": 0.643310546875}, {"start": 1449.46, "end": 1450.46, "word": " ونهايتها", "probability": 0.87041015625}, {"start": 1450.46, "end": 1450.82, "word": " c", "probability": 0.2373046875}, {"start": 1450.82, "end": 1454.84, "word": " then", "probability": 0.463623046875}, {"start": 1454.84, "end": 1455.48, "word": " for", "probability": 0.9326171875}, {"start": 1455.48, "end": 1458.46, "word": " the", "probability": 0.796875}, {"start": 1458.46, "end": 1459.08, "word": " above", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 57, "seek": 147867, "start": 1461.37, "end": 1478.67, "text": "دلتا الموجبة يوجد دلتا موجبة خدت دلتا هذه الموجبة وطبق تعريف epsilon capital N لlimit of sequence فبما ان ال sequence هذه نهايتها C إذا لأي دلتا أو epsilon عدد موجب", "tokens": [3215, 1211, 2655, 995, 9673, 29245, 49401, 7251, 29245, 3215, 11778, 1211, 2655, 995, 3714, 29245, 49401, 16490, 3215, 2655, 11778, 1211, 2655, 995, 29538, 9673, 29245, 49401, 4032, 9566, 3555, 4587, 37279, 16572, 5172, 17889, 4238, 426, 5296, 4197, 270, 295, 8310, 6156, 3555, 15042, 16472, 2423, 8310, 29538, 8717, 11296, 36081, 11296, 383, 11933, 15730, 5296, 10721, 1829, 11778, 1211, 2655, 995, 34051, 17889, 6225, 3215, 3215, 3714, 29245, 3555], "avg_logprob": -0.3529537801873194, "compression_ratio": 1.575, "no_speech_prob": 0.0, "words": [{"start": 1461.37, "end": 1462.09, "word": "دلتا", "probability": 0.6180267333984375}, {"start": 1462.09, "end": 1462.83, "word": " الموجبة", "probability": 0.9220377604166666}, {"start": 1462.83, "end": 1464.89, "word": " يوجد", "probability": 0.6710408528645834}, {"start": 1464.89, "end": 1465.27, "word": " دلتا", "probability": 0.80853271484375}, {"start": 1465.27, "end": 1465.79, "word": " موجبة", "probability": 0.9557291666666666}, {"start": 1465.79, "end": 1466.51, "word": " خدت", "probability": 0.54541015625}, {"start": 1466.51, "end": 1466.91, "word": " دلتا", "probability": 0.9537353515625}, {"start": 1466.91, "end": 1467.09, "word": " هذه", "probability": 0.1302490234375}, {"start": 1467.09, "end": 1467.67, "word": " الموجبة", "probability": 0.9873046875}, {"start": 1467.67, "end": 1469.49, "word": " وطبق", "probability": 0.8231201171875}, {"start": 1469.49, "end": 1470.01, "word": " تعريف", "probability": 0.9913736979166666}, {"start": 1470.01, "end": 1470.43, "word": " epsilon", "probability": 0.2548828125}, {"start": 1470.43, "end": 1470.91, "word": " capital", "probability": 0.2939453125}, {"start": 1470.91, "end": 1471.23, "word": " N", "probability": 0.685546875}, {"start": 1471.23, "end": 1471.77, "word": " لlimit", "probability": 0.6298828125}, {"start": 1471.77, "end": 1471.91, "word": " of", "probability": 0.94482421875}, {"start": 1471.91, "end": 1472.49, "word": " sequence", "probability": 0.91650390625}, {"start": 1472.49, "end": 1473.99, "word": " فبما", "probability": 0.71826171875}, {"start": 1473.99, "end": 1474.17, "word": " ان", "probability": 0.53076171875}, {"start": 1474.17, "end": 1474.29, "word": " ال", "probability": 0.84521484375}, {"start": 1474.29, "end": 1474.65, "word": " sequence", "probability": 0.92041015625}, {"start": 1474.65, "end": 1474.97, "word": " هذه", "probability": 0.794921875}, {"start": 1474.97, "end": 1475.57, "word": " نهايتها", "probability": 0.827392578125}, {"start": 1475.57, "end": 1475.81, "word": " C", "probability": 0.517578125}, {"start": 1475.81, "end": 1476.19, "word": " إذا", "probability": 0.43359375}, {"start": 1476.19, "end": 1476.59, "word": " لأي", "probability": 0.8831380208333334}, {"start": 1476.59, "end": 1477.09, "word": " دلتا", "probability": 0.9027099609375}, {"start": 1477.09, "end": 1477.29, "word": " أو", "probability": 0.57373046875}, {"start": 1477.29, "end": 1477.73, "word": " epsilon", "probability": 0.51904296875}, {"start": 1477.73, "end": 1478.11, "word": " عدد", "probability": 0.9583333333333334}, {"start": 1478.11, "end": 1478.67, "word": " موجب", "probability": 0.982421875}], "temperature": 1.0}, {"id": 58, "seek": 150399, "start": 1480.31, "end": 1503.99, "text": "There exists capital N يعتمد على الـ Delta طبعا الـ Delta تعتمد على إبسلون، إذا الـ N هذه يعتمد على إبسلون عدد طبيعي، بحيث أنه لكل N أكبر من أو ساوي capital N، تطلع عندي absolute X N minus C أصغر من Delta، نسمي ال implication هذه double star", "tokens": [51, 6703, 8198, 4238, 426, 7251, 34268, 2304, 3215, 15844, 2423, 39184, 18183, 23032, 3555, 3615, 995, 2423, 39184, 18183, 6055, 34268, 2304, 3215, 15844, 11933, 3555, 3794, 1211, 11536, 12399, 11933, 15730, 2423, 39184, 426, 29538, 7251, 34268, 2304, 3215, 15844, 11933, 3555, 3794, 1211, 11536, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 12399, 4724, 5016, 1829, 12984, 14739, 3224, 5296, 28820, 426, 5551, 4117, 26890, 9154, 34051, 8608, 995, 2407, 1829, 4238, 426, 12399, 6055, 9566, 1211, 3615, 18871, 16254, 8236, 1783, 426, 3175, 383, 5551, 9381, 17082, 2288, 9154, 18183, 12399, 8717, 38251, 1829, 2423, 37814, 29538, 3834, 3543], "avg_logprob": -0.3041565458751419, "compression_ratio": 1.59009009009009, "no_speech_prob": 0.0, "words": [{"start": 1480.31, "end": 1480.71, "word": "There", "probability": 0.38433837890625}, {"start": 1480.71, 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1493.05, "word": " لكل", "probability": 0.97998046875}, {"start": 1493.05, "end": 1493.41, "word": " N", "probability": 0.84765625}, {"start": 1493.41, "end": 1493.97, "word": " أكبر", "probability": 0.9654947916666666}, {"start": 1493.97, "end": 1494.19, "word": " من", "probability": 0.923828125}, {"start": 1494.19, "end": 1494.41, "word": " أو", "probability": 0.939453125}, {"start": 1494.41, "end": 1494.87, "word": " ساوي", "probability": 0.7515869140625}, {"start": 1494.87, "end": 1495.29, "word": " capital", "probability": 0.61669921875}, {"start": 1495.29, "end": 1496.23, "word": " N،", "probability": 0.7724609375}, {"start": 1496.23, "end": 1496.65, "word": " تطلع", "probability": 0.65423583984375}, {"start": 1496.65, "end": 1496.93, "word": " عندي", "probability": 0.8642578125}, {"start": 1496.93, "end": 1497.41, "word": " absolute", "probability": 0.54443359375}, {"start": 1497.41, "end": 1497.99, "word": " X", "probability": 0.5947265625}, {"start": 1497.99, "end": 1498.29, "word": " N", "probability": 0.256103515625}, {"start": 1498.29, "end": 1498.81, "word": " minus", "probability": 0.81787109375}, {"start": 1498.81, "end": 1499.11, "word": " C", "probability": 0.55029296875}, {"start": 1499.11, "end": 1499.59, "word": " أصغر", "probability": 0.990478515625}, {"start": 1499.59, "end": 1499.77, "word": " من", "probability": 0.99560546875}, {"start": 1499.77, "end": 1501.49, "word": " Delta،", "probability": 0.641845703125}, {"start": 1501.49, "end": 1502.03, "word": " نسمي", "probability": 0.7428385416666666}, {"start": 1502.03, "end": 1502.13, "word": " ال", "probability": 0.96240234375}, {"start": 1502.13, "end": 1502.57, "word": " implication", "probability": 0.69091796875}, {"start": 1502.57, "end": 1503.19, "word": " هذه", "probability": 0.32421875}, {"start": 1503.19, "end": 1503.47, "word": " double", "probability": 0.476318359375}, {"start": 1503.47, "end": 1503.99, "word": " star", "probability": 0.69921875}], "temperature": 1.0}, {"id": 59, "seek": 153644, "start": 1507.58, "end": 1536.44, "text": "now star and double star بيؤدوا إلى ما يلي لو كان M أكبر من أو ساوي capital M هذا بيؤدي انه absolute XM minus C أصغر من دلتا هذا باستخدام double star صح؟", "tokens": [3785, 3543, 293, 3834, 3543, 4724, 1829, 33604, 3215, 14407, 30731, 19446, 7251, 20292, 45164, 25961, 376, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 4238, 376, 23758, 4724, 1829, 33604, 16254, 16472, 3224, 8236, 1783, 44, 3175, 383, 5551, 9381, 17082, 2288, 9154, 11778, 1211, 2655, 995, 23758, 4724, 995, 14851, 9778, 3215, 10943, 3834, 3543, 20328, 5016, 22807], "avg_logprob": -0.25435449647121744, "compression_ratio": 1.343558282208589, "no_speech_prob": 0.0, "words": [{"start": 1507.58, "end": 1508.02, "word": "now", "probability": 0.307373046875}, {"start": 1508.02, "end": 1508.7, "word": " star", "probability": 0.452392578125}, {"start": 1508.7, "end": 1509.22, "word": " and", "probability": 0.91650390625}, {"start": 1509.22, "end": 1509.62, "word": " double", "probability": 0.951171875}, {"start": 1509.62, "end": 1510.2, "word": " star", "probability": 0.93994140625}, {"start": 1510.2, "end": 1512.84, "word": " بيؤدوا", "probability": 0.617626953125}, {"start": 1512.84, "end": 1513.74, "word": " إلى", "probability": 0.697265625}, {"start": 1513.74, "end": 1514.1, "word": " ما", "probability": 0.95458984375}, {"start": 1514.1, "end": 1514.42, "word": " يلي", "probability": 0.864990234375}, {"start": 1514.42, "end": 1515.76, "word": " لو", "probability": 0.517578125}, {"start": 1515.76, "end": 1516.3, "word": " كان", "probability": 0.97998046875}, {"start": 1516.3, "end": 1516.66, "word": " M", "probability": 0.3828125}, {"start": 1516.66, "end": 1517.2, "word": " أكبر", "probability": 0.92724609375}, {"start": 1517.2, "end": 1517.4, "word": " من", "probability": 0.8408203125}, {"start": 1517.4, "end": 1517.6, "word": " أو", "probability": 0.79736328125}, {"start": 1517.6, "end": 1518.1, "word": " ساوي", "probability": 0.9108072916666666}, {"start": 1518.1, "end": 1518.6, "word": " capital", "probability": 0.453125}, {"start": 1518.6, "end": 1519.08, "word": " M", "probability": 0.9306640625}, {"start": 1519.08, "end": 1520.26, "word": " هذا", "probability": 0.8076171875}, {"start": 1520.26, "end": 1520.9, "word": " بيؤدي", "probability": 0.91748046875}, {"start": 1520.9, "end": 1522.68, "word": " انه", "probability": 0.58984375}, {"start": 1522.68, "end": 1523.34, "word": " absolute", "probability": 0.88720703125}, {"start": 1523.34, "end": 1527.74, "word": " XM", "probability": 0.37939453125}, {"start": 1527.74, "end": 1529.26, "word": " minus", "probability": 0.75439453125}, {"start": 1529.26, "end": 1529.72, "word": " C", "probability": 0.853515625}, {"start": 1529.72, "end": 1530.34, "word": " أصغر", "probability": 0.9619140625}, {"start": 1530.34, "end": 1530.56, "word": " من", "probability": 0.99462890625}, {"start": 1530.56, "end": 1531.12, "word": " دلتا", "probability": 0.7376708984375}, {"start": 1531.12, "end": 1531.88, "word": " هذا", "probability": 0.89111328125}, {"start": 1531.88, "end": 1532.8, "word": " باستخدام", "probability": 0.9834798177083334}, {"start": 1532.8, "end": 1534.5, "word": " double", "probability": 0.876953125}, {"start": 1534.5, "end": 1535.08, "word": " star", "probability": 0.92822265625}, {"start": 1535.08, "end": 1536.44, "word": " صح؟", "probability": 0.8961588541666666}], "temperature": 1.0}, {"id": 60, "seek": 155981, "start": 1539.75, "end": 1559.81, "text": "لو كانت n أكبر من أو ساوي capital N فبطلع absolute xn minus c أصغر من delta و من ال star لو كان عندى xn طبعا xn هذا موجود في a ال xn موجود في a مختلف عن ال c", "tokens": [1211, 2407, 25961, 2655, 297, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 4238, 426, 6156, 3555, 9566, 1211, 3615, 8236, 2031, 77, 3175, 269, 5551, 9381, 17082, 2288, 9154, 8289, 4032, 9154, 2423, 3543, 45164, 25961, 43242, 7578, 2031, 77, 23032, 3555, 3615, 995, 2031, 77, 23758, 3714, 29245, 23328, 8978, 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"word": " فبطلع", "probability": 0.645703125}, {"start": 1543.79, "end": 1544.23, "word": " absolute", "probability": 0.71875}, {"start": 1544.23, "end": 1544.73, "word": " xn", "probability": 0.62353515625}, {"start": 1544.73, "end": 1545.15, "word": " minus", "probability": 0.6474609375}, {"start": 1545.15, "end": 1545.39, "word": " c", "probability": 0.787109375}, {"start": 1545.39, "end": 1545.77, "word": " أصغر", "probability": 0.975830078125}, {"start": 1545.77, "end": 1545.93, "word": " من", "probability": 0.994140625}, {"start": 1545.93, "end": 1546.31, "word": " delta", "probability": 0.452880859375}, {"start": 1546.31, "end": 1547.53, "word": " و", "probability": 0.775390625}, {"start": 1547.53, "end": 1548.05, "word": " من", "probability": 0.497314453125}, {"start": 1548.05, "end": 1548.45, "word": " ال", "probability": 0.57373046875}, {"start": 1548.45, "end": 1548.85, "word": " star", "probability": 0.5205078125}, {"start": 1548.85, "end": 1551.45, "word": " لو", "probability": 0.67529296875}, {"start": 1551.45, "end": 1551.71, "word": " كان", "probability": 0.98388671875}, {"start": 1551.71, "end": 1552.05, "word": " عندى", "probability": 0.5511474609375}, {"start": 1552.05, "end": 1552.57, "word": " xn", "probability": 0.930908203125}, {"start": 1552.57, "end": 1552.95, "word": " طبعا", "probability": 0.8712158203125}, {"start": 1552.95, "end": 1553.41, "word": " xn", "probability": 0.646484375}, {"start": 1553.41, "end": 1553.61, "word": " هذا", "probability": 0.611328125}, {"start": 1553.61, "end": 1554.13, "word": " موجود", "probability": 0.9798177083333334}, {"start": 1554.13, "end": 1554.37, "word": " في", "probability": 0.96337890625}, {"start": 1554.37, "end": 1554.67, "word": " a", "probability": 0.64306640625}, {"start": 1554.67, "end": 1556.27, "word": " ال", "probability": 0.374267578125}, {"start": 1556.27, "end": 1556.93, "word": " xn", "probability": 0.91015625}, {"start": 1556.93, "end": 1557.73, "word": " موجود", "probability": 0.984375}, {"start": 1557.73, "end": 1558.25, "word": " في", "probability": 0.9658203125}, {"start": 1558.25, "end": 1558.55, "word": " a", "probability": 0.97509765625}, {"start": 1558.55, "end": 1559.13, "word": " مختلف", "probability": 0.84228515625}, {"start": 1559.13, "end": 1559.33, "word": " عن", "probability": 0.95703125}, {"start": 1559.33, "end": 1559.55, "word": " ال", "probability": 0.80078125}, {"start": 1559.55, "end": 1559.81, "word": " c", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 61, "seek": 158827, "start": 1562.83, "end": 1588.27, "text": "فلو كان absolute of xn minus c badly except xn أصغر من delta فحسب الstar هذا بقدر absolute of f of xn minus L أصغر من إبسلون الان بما أن هذا صحيح بما أن since إبسلون أكبر من الصفر was arbitrary", "tokens": [5172, 1211, 2407, 25961, 8236, 295, 2031, 77, 3175, 269, 13425, 3993, 2031, 77, 5551, 9381, 17082, 2288, 9154, 8289, 6156, 5016, 35457, 2423, 9710, 23758, 4724, 28543, 2288, 8236, 295, 283, 295, 2031, 77, 3175, 441, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 2423, 7649, 4724, 15042, 14739, 23758, 20328, 5016, 1829, 5016, 4724, 15042, 14739, 1670, 11933, 3555, 3794, 1211, 11536, 5551, 4117, 26890, 9154, 31767, 5172, 2288, 390, 23211], "avg_logprob": -0.3497121757582614, "compression_ratio": 1.5491329479768785, "no_speech_prob": 0.0, "words": [{"start": 1562.83, "end": 1563.21, "word": "فلو", "probability": 0.6373697916666666}, {"start": 1563.21, "end": 1563.49, "word": " كان", "probability": 0.9873046875}, {"start": 1563.49, "end": 1564.05, "word": " absolute", "probability": 0.5205078125}, {"start": 1564.05, "end": 1564.33, "word": " of", "probability": 0.1527099609375}, {"start": 1564.33, "end": 1564.91, "word": " xn", "probability": 0.649169921875}, {"start": 1564.91, "end": 1565.47, "word": " minus", "probability": 0.486572265625}, {"start": 1565.47, "end": 1566.01, "word": " c", "probability": 0.7265625}, {"start": 1566.01, "end": 1566.85, "word": " badly", "probability": 0.157470703125}, {"start": 1566.85, "end": 1567.23, "word": " except", "probability": 0.8388671875}, {"start": 1567.23, "end": 1567.75, "word": " xn", "probability": 0.885498046875}, {"start": 1567.75, "end": 1568.43, "word": " أصغر", "probability": 0.8475341796875}, {"start": 1568.43, "end": 1568.59, "word": " من", "probability": 0.9892578125}, {"start": 1568.59, "end": 1568.95, "word": " delta", "probability": 0.480224609375}, {"start": 1568.95, "end": 1570.29, "word": " فحسب", "probability": 0.8196614583333334}, {"start": 1570.29, "end": 1570.77, "word": " الstar", "probability": 0.43408203125}, {"start": 1570.77, "end": 1571.05, "word": " هذا", "probability": 0.7646484375}, {"start": 1571.05, "end": 1571.51, "word": " بقدر", "probability": 0.7884114583333334}, {"start": 1571.51, "end": 1572.45, "word": " absolute", "probability": 0.451171875}, {"start": 1572.45, "end": 1573.69, "word": " of", "probability": 0.41748046875}, {"start": 1573.69, "end": 1573.85, "word": " f", "probability": 0.59033203125}, {"start": 1573.85, "end": 1574.13, "word": " of", "probability": 0.393798828125}, {"start": 1574.13, "end": 1575.05, "word": " xn", "probability": 0.949462890625}, {"start": 1575.05, "end": 1575.83, "word": " minus", "probability": 0.96142578125}, {"start": 1575.83, "end": 1576.43, "word": " L", "probability": 0.5546875}, {"start": 1576.43, "end": 1578.33, "word": " أصغر", "probability": 0.9793701171875}, {"start": 1578.33, "end": 1578.53, "word": " من", "probability": 0.994140625}, {"start": 1578.53, "end": 1579.19, "word": " إبسلون", "probability": 0.6742919921875}, {"start": 1579.19, "end": 1581.19, "word": " الان", "probability": 0.51416015625}, {"start": 1581.19, "end": 1581.49, "word": " بما", "probability": 0.832763671875}, {"start": 1581.49, "end": 1581.61, "word": " أن", "probability": 0.75927734375}, {"start": 1581.61, "end": 1581.93, "word": " هذا", "probability": 0.9306640625}, {"start": 1581.93, "end": 1582.59, "word": " صحيح", "probability": 0.99267578125}, {"start": 1582.59, "end": 1583.59, "word": " بما", "probability": 0.77978515625}, {"start": 1583.59, "end": 1583.77, "word": " أن", "probability": 0.822265625}, {"start": 1583.77, "end": 1584.33, "word": " since", "probability": 0.327880859375}, {"start": 1584.33, "end": 1585.63, "word": " إبسلون", "probability": 0.883203125}, {"start": 1585.63, "end": 1586.07, "word": " أكبر", "probability": 0.97607421875}, {"start": 1586.07, "end": 1586.29, "word": " من", "probability": 0.9912109375}, {"start": 1586.29, "end": 1586.87, "word": " الصفر", "probability": 0.795166015625}, {"start": 1586.87, "end": 1587.47, "word": " was", "probability": 0.87841796875}, {"start": 1587.47, "end": 1588.27, "word": " arbitrary", "probability": 0.734375}], "temperature": 1.0}, {"id": 62, "seek": 160754, "start": 1590.74, "end": 1607.54, "text": "إن إحنا أثبتنا هيك لكل إبسلون يوجد capital N يعتمد على إبسلون عدد طبيعي", "tokens": [28814, 1863, 11933, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 39896, 4117, 5296, 28820, 11933, 3555, 3794, 1211, 11536, 7251, 29245, 3215, 4238, 426, 7251, 34268, 2304, 3215, 15844, 11933, 3555, 3794, 1211, 11536, 6225, 3215, 3215, 23032, 21292, 3615, 1829], "avg_logprob": -0.27566965633914586, "compression_ratio": 1.21, "no_speech_prob": 0.0, "words": [{"start": 1590.74, "end": 1591.06, "word": "إن", "probability": 0.5296630859375}, {"start": 1591.06, "end": 1591.34, "word": " إحنا", "probability": 0.6636555989583334}, {"start": 1591.34, "end": 1591.92, "word": " أثبتنا", "probability": 0.9474609375}, {"start": 1591.92, "end": 1592.34, "word": " هيك", "probability": 0.6173095703125}, {"start": 1592.34, "end": 1593.0, "word": " لكل", "probability": 0.943359375}, {"start": 1593.0, "end": 1593.66, "word": " إبسلون", "probability": 0.793701171875}, {"start": 1593.66, "end": 1602.38, "word": " يوجد", "probability": 0.6844889322916666}, {"start": 1602.38, "end": 1602.78, "word": " capital", "probability": 0.377685546875}, {"start": 1602.78, "end": 1603.28, "word": " N", "probability": 0.75927734375}, {"start": 1603.28, "end": 1605.4, "word": " يعتمد", "probability": 0.9285888671875}, {"start": 1605.4, "end": 1605.72, "word": " على", "probability": 0.869140625}, {"start": 1605.72, "end": 1606.54, "word": " إبسلون", "probability": 0.966015625}, {"start": 1606.54, "end": 1606.94, "word": " عدد", "probability": 0.9586588541666666}, {"start": 1606.94, "end": 1607.54, "word": " طبيعي", "probability": 0.9698486328125}], "temperature": 1.0}, {"id": 63, "seek": 163735, "start": 1608.69, "end": 1637.35, "text": "بكل n أكبر من أوي سوى capital N absolute f of xn minus L أصغر من إبسلون إذا by إبسلون capital N definition لل limit of sequence بطلع عندي limit لsequence f of xn as n tends to infinity بساوية L وبالتالي هيك بيكون إذا two holes", "tokens": [3555, 28820, 297, 5551, 4117, 26890, 9154, 34051, 1829, 8608, 2407, 7578, 4238, 426, 8236, 283, 295, 2031, 77, 3175, 441, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 11933, 15730, 538, 11933, 3555, 3794, 1211, 11536, 4238, 426, 7123, 24976, 4948, 295, 8310, 4724, 9566, 1211, 3615, 18871, 16254, 4948, 5296, 11834, 655, 283, 295, 2031, 77, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 2407, 10632, 441, 46599, 6027, 2655, 6027, 1829, 39896, 4117, 4724, 1829, 30544, 11933, 15730, 732, 8118], "avg_logprob": -0.3840843033651973, "compression_ratio": 1.505050505050505, "no_speech_prob": 0.0, "words": [{"start": 1608.69, "end": 1609.31, "word": "بكل", "probability": 0.4063720703125}, {"start": 1609.31, "end": 1609.63, "word": " n", "probability": 0.286865234375}, {"start": 1609.63, "end": 1610.09, "word": " أكبر", "probability": 0.9127604166666666}, {"start": 1610.09, "end": 1610.25, "word": " من", "probability": 0.5419921875}, {"start": 1610.25, "end": 1610.51, "word": " أوي", "probability": 0.628173828125}, {"start": 1610.51, "end": 1610.77, "word": " سوى", "probability": 0.5585123697916666}, {"start": 1610.77, "end": 1611.15, "word": " capital", "probability": 0.283447265625}, {"start": 1611.15, "end": 1611.47, "word": " N", "probability": 0.71484375}, {"start": 1611.47, "end": 1612.65, "word": " absolute", "probability": 0.495361328125}, {"start": 1612.65, "end": 1613.19, "word": " f", "probability": 0.56298828125}, {"start": 1613.19, "end": 1613.41, "word": " of", "probability": 0.53271484375}, {"start": 1613.41, "end": 1613.87, "word": " xn", "probability": 0.678955078125}, {"start": 1613.87, "end": 1614.27, "word": " minus", "probability": 0.82275390625}, {"start": 1614.27, "end": 1614.57, "word": " L", "probability": 0.5244140625}, {"start": 1614.57, "end": 1615.11, "word": " أصغر", "probability": 0.975830078125}, {"start": 1615.11, "end": 1615.31, "word": " من", "probability": 0.9931640625}, {"start": 1615.31, "end": 1615.79, "word": " إبسلون", "probability": 0.7566162109375}, {"start": 1615.79, "end": 1616.93, "word": " إذا", "probability": 0.45367431640625}, {"start": 1616.93, "end": 1617.45, "word": " by", "probability": 0.51318359375}, {"start": 1617.45, "end": 1618.03, "word": " إبسلون", "probability": 0.8265625}, {"start": 1618.03, "end": 1618.41, "word": " capital", "probability": 0.51708984375}, {"start": 1618.41, "end": 1618.73, "word": " N", "probability": 0.9228515625}, {"start": 1618.73, "end": 1619.27, "word": " definition", "probability": 0.91357421875}, {"start": 1619.27, "end": 1619.85, "word": " لل", "probability": 0.72119140625}, {"start": 1619.85, "end": 1620.15, "word": " limit", "probability": 0.6630859375}, {"start": 1620.15, "end": 1620.33, "word": " of", "probability": 0.96044921875}, {"start": 1620.33, "end": 1620.95, "word": " sequence", "probability": 0.87451171875}, {"start": 1620.95, "end": 1622.01, "word": " بطلع", "probability": 0.6400146484375}, {"start": 1622.01, "end": 1622.31, "word": " عندي", "probability": 0.820068359375}, {"start": 1622.31, "end": 1622.79, "word": " limit", "probability": 0.50341796875}, {"start": 1622.79, "end": 1626.05, "word": " لsequence", "probability": 0.611083984375}, {"start": 1626.05, "end": 1626.37, "word": " f", "probability": 0.9091796875}, {"start": 1626.37, "end": 1626.65, "word": " of", "probability": 0.86669921875}, {"start": 1626.65, "end": 1627.51, "word": " xn", "probability": 0.960205078125}, {"start": 1627.51, "end": 1628.65, "word": " as", "probability": 0.875}, {"start": 1628.65, "end": 1628.97, "word": " n", "probability": 0.5166015625}, {"start": 1628.97, "end": 1629.25, "word": " tends", "probability": 0.53076171875}, {"start": 1629.25, "end": 1629.37, "word": " to", "probability": 0.9326171875}, {"start": 1629.37, "end": 1629.91, "word": " infinity", "probability": 0.85009765625}, {"start": 1629.91, "end": 1630.73, "word": " بساوية", "probability": 0.647607421875}, {"start": 1630.73, "end": 1631.01, "word": " L", "probability": 0.348876953125}, {"start": 1631.01, "end": 1632.91, "word": " وبالتالي", "probability": 0.94990234375}, {"start": 1632.91, "end": 1633.19, "word": " هيك", "probability": 0.8837890625}, {"start": 1633.19, "end": 1633.69, "word": " بيكون", "probability": 0.8396809895833334}, {"start": 1633.69, "end": 1634.73, "word": " إذا", "probability": 0.6038818359375}, {"start": 1634.73, "end": 1636.71, "word": " two", "probability": 0.84765625}, {"start": 1636.71, "end": 1637.35, "word": " holes", "probability": 0.483642578125}], "temperature": 1.0}, {"id": 64, "seek": 165771, "start": 1639.59, "end": 1657.71, "text": "هكذا أثبتنا أن واحد يؤدي إلى اتنين اتنين بيقول for every sequence فهي اللي أخدت arbitrary sequence في a minus c وبشرط بحيث ان ال sequence هي اللي نهيتها c", "tokens": [3224, 4117, 15730, 5551, 12984, 3555, 2655, 8315, 14739, 36764, 24401, 7251, 33604, 16254, 30731, 1975, 2655, 1863, 9957, 1975, 2655, 1863, 9957, 4724, 1829, 39648, 337, 633, 8310, 6156, 3224, 1829, 13672, 1829, 5551, 9778, 3215, 2655, 23211, 8310, 8978, 257, 3175, 269, 46599, 46309, 9566, 4724, 5016, 1829, 12984, 16472, 2423, 8310, 39896, 13672, 1829, 8717, 3224, 36081, 11296, 269], "avg_logprob": -0.4419642894987076, "compression_ratio": 1.4556962025316456, "no_speech_prob": 0.0, "words": [{"start": 1639.59, "end": 1640.07, "word": "هكذا", "probability": 0.4020589192708333}, {"start": 1640.07, "end": 1640.63, "word": " أثبتنا", "probability": 0.8767578125}, {"start": 1640.63, "end": 1640.91, "word": " أن", "probability": 0.505859375}, {"start": 1640.91, "end": 1641.37, "word": " واحد", "probability": 0.755615234375}, {"start": 1641.37, "end": 1641.85, "word": " يؤدي", "probability": 0.6290283203125}, {"start": 1641.85, "end": 1642.03, "word": " إلى", "probability": 0.70068359375}, {"start": 1642.03, "end": 1642.43, "word": " اتنين", "probability": 0.87060546875}, {"start": 1642.43, "end": 1646.61, "word": " اتنين", "probability": 0.7364044189453125}, {"start": 1646.61, "end": 1647.11, "word": " بيقول", "probability": 0.481689453125}, {"start": 1647.11, "end": 1647.53, "word": " for", "probability": 0.72314453125}, {"start": 1647.53, "end": 1647.93, "word": " every", "probability": 0.74072265625}, {"start": 1647.93, "end": 1648.55, "word": " sequence", "probability": 0.9697265625}, {"start": 1648.55, "end": 1649.29, "word": " فهي", "probability": 0.66845703125}, {"start": 1649.29, "end": 1649.39, "word": " اللي", "probability": 0.6485595703125}, {"start": 1649.39, "end": 1649.87, "word": " أخدت", "probability": 0.92578125}, {"start": 1649.87, "end": 1650.27, "word": " arbitrary", "probability": 0.470947265625}, {"start": 1650.27, "end": 1651.03, "word": " sequence", "probability": 0.98046875}, {"start": 1651.03, "end": 1652.37, "word": " في", "probability": 0.6357421875}, {"start": 1652.37, "end": 1652.61, "word": " a", "probability": 0.420654296875}, {"start": 1652.61, "end": 1652.95, "word": " minus", "probability": 0.434814453125}, {"start": 1652.95, "end": 1653.43, "word": " c", "probability": 0.93994140625}, {"start": 1653.43, "end": 1655.13, "word": " وبشرط", "probability": 0.63671875}, {"start": 1655.13, "end": 1655.93, "word": " بحيث", "probability": 0.876708984375}, {"start": 1655.93, "end": 1656.11, "word": " ان", "probability": 0.52978515625}, {"start": 1656.11, "end": 1656.25, "word": " ال", "probability": 0.826171875}, {"start": 1656.25, "end": 1656.61, "word": " sequence", "probability": 0.95849609375}, {"start": 1656.61, "end": 1656.81, "word": " هي", "probability": 0.615234375}, {"start": 1656.81, "end": 1656.95, "word": " اللي", "probability": 0.54461669921875}, {"start": 1656.95, "end": 1657.43, "word": " نهيتها", "probability": 0.8863525390625}, {"start": 1657.43, "end": 1657.71, "word": " c", "probability": 0.751953125}], "temperature": 1.0}, {"id": 65, "seek": 168251, "start": 1662.35, "end": 1682.51, "text": "و اثبتنا ان ال limit لل image لل sequence بساوي L هذا بالظبط اللي هو الابارة اتنين لان هيك يكون اثبتنا واحد بيقدي لاتنين واضح مفهوم اللي هو نثبت العكس نثبت ان اتنين بيقدي لواحد", "tokens": [2407, 1975, 12984, 3555, 2655, 8315, 16472, 2423, 4948, 24976, 3256, 24976, 8310, 4724, 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"probability": 0.92919921875}, {"start": 1851.48, "end": 1851.74, "word": " ال", "probability": 0.56787109375}, {"start": 1851.74, "end": 1852.76, "word": " contrapositive", "probability": 0.749267578125}, {"start": 1852.76, "end": 1853.76, "word": " we", "probability": 0.71923828125}, {"start": 1853.76, "end": 1854.36, "word": " prove", "probability": 0.94384765625}, {"start": 1854.36, "end": 1855.1, "word": " not", "probability": 0.89453125}, {"start": 1855.1, "end": 1855.98, "word": " واحد", "probability": 0.961669921875}, {"start": 1855.98, "end": 1857.72, "word": " implies", "probability": 0.7216796875}, {"start": 1857.72, "end": 1858.26, "word": " not", "probability": 0.9482421875}, {"start": 1858.26, "end": 1859.12, "word": " two", "probability": 0.85693359375}], "temperature": 1.0}, {"id": 72, "seek": 188719, "start": 1861.07, "end": 1887.19, "text": "هذا هو ال contrapositive للعبارة لل implication هذه فإذا assume .. assume not one ف not one معناته ال limit ل F of X لما X تقول ل C لا تساوي L", "tokens": [3224, 15730, 31439, 2423, 660, 4007, 329, 2187, 24976, 3615, 3555, 9640, 3660, 24976, 37814, 29538, 6156, 28814, 15730, 6552, 4386, 6552, 406, 472, 6156, 406, 472, 20449, 8315, 47395, 2423, 4948, 5296, 479, 295, 1783, 5296, 15042, 1783, 6055, 39648, 5296, 383, 20193, 6055, 3794, 995, 45865, 441], "avg_logprob": -0.2468750137090683, "compression_ratio": 1.2418300653594772, "no_speech_prob": 0.0, "words": [{"start": 1861.07, "end": 1861.45, "word": "هذا", "probability": 0.841064453125}, {"start": 1861.45, "end": 1861.63, "word": " هو", "probability": 0.947265625}, {"start": 1861.63, "end": 1861.77, "word": " ال", "probability": 0.65087890625}, {"start": 1861.77, "end": 1862.59, "word": " contrapositive", "probability": 0.750244140625}, {"start": 1862.59, "end": 1863.45, "word": " للعبارة", "probability": 0.9525390625}, {"start": 1863.45, "end": 1864.13, "word": " لل", "probability": 0.5908203125}, {"start": 1864.13, "end": 1864.73, "word": " implication", 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neighborhood ل L يوجد delta neighborhood لل C بحيث لكل x في ال delta neighborhood", "tokens": [6027, 7649, 8717, 47341, 3615, 5296, 2655, 3615, 16572, 5172, 2423, 4948, 34051, 2423, 2445, 13412, 38688, 8315, 9673, 25720, 21136, 18513, 3794, 3660, 8978, 37279, 16572, 5172, 9957, 8978, 17889, 8289, 7123, 4032, 8978, 7630, 7123, 2423, 7630, 7123, 4724, 1829, 39648, 1975, 15730, 25961, 6225, 8592, 7649, 6055, 30544, 4948, 5296, 283, 295, 2031, 9154, 2031, 1975, 2407, 5296, 269, 20666, 3794, 995, 45865, 6225, 3215, 3215, 441, 23758, 4724, 1829, 4117, 31845, 19986, 16472, 3224, 5296, 28820, 17889, 7630, 5296, 441, 7251, 29245, 3215, 8289, 7630, 24976, 383, 4724, 5016, 1829, 12984, 5296, 28820, 2031, 8978, 2423, 8289, 7630], "avg_logprob": -0.28170510750372435, "compression_ratio": 1.8218623481781377, "no_speech_prob": 0.0, "words": [{"start": 1895.09, "end": 1895.51, "word": "الان", "probability": 0.721435546875}, {"start": 1895.51, "end": 1895.93, "word": " نرجع", "probability": 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"probability": 0.8681640625}, {"start": 1980.6, "end": 1981.1, "word": " Delta", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 77, "seek": 201254, "start": 1985.36, "end": 2012.54, "text": "لا تنتمي للإبسلون zero neighborhood ل LL طيب لو أخدنا take لكل N في N take delta بساوي واحد على N then they exist", "tokens": [15040, 6055, 29399, 2304, 1829, 24976, 28814, 3555, 3794, 1211, 11536, 4018, 7630, 5296, 441, 43, 23032, 1829, 3555, 45164, 5551, 9778, 3215, 8315, 747, 5296, 28820, 426, 8978, 426, 747, 8289, 4724, 3794, 995, 45865, 36764, 24401, 15844, 426, 550, 436, 2514], "avg_logprob": -0.28568892925977707, "compression_ratio": 1.1470588235294117, "no_speech_prob": 0.0, "words": [{"start": 1985.36, "end": 1985.74, "word": "لا", "probability": 0.46728515625}, {"start": 1985.74, "end": 1986.68, "word": " تنتمي", "probability": 0.954345703125}, {"start": 1986.68, "end": 1988.06, "word": " للإبسلون", "probability": 0.7964274088541666}, {"start": 1988.06, "end": 1989.62, "word": " zero", "probability": 0.1671142578125}, {"start": 1989.62, "end": 1990.36, "word": " neighborhood", "probability": 0.53271484375}, {"start": 1990.36, "end": 1990.96, "word": " ل", "probability": 0.8310546875}, {"start": 1990.96, "end": 1991.9, "word": " LL", "probability": 0.530517578125}, {"start": 1991.9, "end": 1996.38, "word": " طيب", "probability": 0.8912760416666666}, {"start": 1996.38, "end": 1996.58, "word": " لو", "probability": 0.9345703125}, {"start": 1996.58, "end": 1997.1, "word": " أخدنا", "probability": 0.946044921875}, {"start": 1997.1, "end": 1997.56, "word": " take", "probability": 0.84326171875}, {"start": 1997.56, "end": 2000.52, "word": " لكل", "probability": 0.9443359375}, {"start": 2000.52, "end": 2001.0, "word": " N", "probability": 0.59619140625}, {"start": 2001.0, "end": 2001.3, "word": " في", "probability": 0.9580078125}, {"start": 2001.3, "end": 2001.8, "word": " N", "probability": 0.72802734375}, {"start": 2001.8, "end": 2003.62, "word": " take", "probability": 0.73095703125}, {"start": 2003.62, "end": 2004.26, "word": " delta", "probability": 0.323486328125}, {"start": 2004.26, "end": 2005.34, "word": " بساوي", "probability": 0.7449951171875}, {"start": 2005.34, "end": 2005.9, "word": " واحد", "probability": 0.85205078125}, {"start": 2005.9, "end": 2006.14, "word": " على", "probability": 0.67626953125}, {"start": 2006.14, "end": 2006.52, "word": " N", "probability": 0.8994140625}, {"start": 2006.52, "end": 2011.6, "word": " then", "probability": 0.82861328125}, {"start": 2011.6, "end": 2011.92, "word": " they", "probability": 0.71142578125}, {"start": 2011.92, "end": 2012.54, "word": " exist", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 78, "seek": 203762, "start": 2017.52, "end": 2037.62, "text": "دلتا تعتمد على n دلتا تعتمد على n دلتا تعتمد على n دلتا تعتمد على", "tokens": [3215, 1211, 2655, 995, 6055, 34268, 2304, 3215, 15844, 297, 11778, 1211, 2655, 995, 6055, 34268, 2304, 3215, 15844, 297, 11778, 1211, 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2026.76, "word": " تعتمد", "probability": 0.955078125}, {"start": 2026.76, "end": 2026.88, "word": " على", "probability": 0.9365234375}, {"start": 2026.88, "end": 2027.1, "word": " n", "probability": 0.8837890625}, {"start": 2027.1, "end": 2030.36, "word": " دلتا", "probability": 0.85986328125}, {"start": 2030.36, "end": 2036.52, "word": " تعتمد", "probability": 0.98486328125}, {"start": 2036.52, "end": 2037.62, "word": " على", "probability": 0.92578125}], "temperature": 1.0}, {"id": 79, "seek": 205830, "start": 2040.88, "end": 2058.3, "text": "و بحيث ان F ل Xm لا ينتمي لإبسلون Zero neighborhood ل L طب ما هذا الأخير معناه أو بيقدّي", "tokens": [2407, 4724, 5016, 1829, 12984, 16472, 479, 5296, 1783, 76, 20193, 7251, 29399, 2304, 1829, 5296, 28814, 3555, 3794, 1211, 11536, 17182, 7630, 5296, 441, 23032, 3555, 19446, 23758, 16247, 9778, 13546, 20449, 8315, 3224, 34051, 4724, 1829, 28543, 11703, 1829], "avg_logprob": -0.41741072351024266, "compression_ratio": 1.0873015873015872, 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"probability": 0.935546875}, {"start": 2052.7, "end": 2053.02, "word": " L", "probability": 0.61865234375}, {"start": 2053.02, "end": 2055.38, "word": " طب", "probability": 0.771484375}, {"start": 2055.38, "end": 2055.52, "word": " ما", "probability": 0.2607421875}, {"start": 2055.52, "end": 2055.72, "word": " هذا", "probability": 0.8427734375}, {"start": 2055.72, "end": 2056.26, "word": " الأخير", "probability": 0.9140625}, {"start": 2056.26, "end": 2057.36, "word": " معناه", "probability": 0.7964680989583334}, {"start": 2057.36, "end": 2057.62, "word": " أو", "probability": 0.5830078125}, {"start": 2057.62, "end": 2058.3, "word": " بيقدّي", "probability": 0.7017578125}], "temperature": 1.0}, {"id": 80, "seek": 208907, "start": 2066.33, "end": 2089.07, "text": "this implies هذا بيقدّي نكون أثبتنا ان لكل n يوجد xn في a إذا يوجد sequence xn موجودة في ال set A حدودها مختلفة عن ال C كل ال xn مختلفة عن ال C وموجودة في", "tokens": [11176, 18779, 23758, 4724, 1829, 28543, 11703, 1829, 8717, 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0.9805908203125}, {"start": 2081.63, "end": 2081.75, "word": " في", "probability": 0.96923828125}, {"start": 2081.75, "end": 2081.93, "word": " ال", "probability": 0.373779296875}, {"start": 2081.93, "end": 2082.19, "word": " set", "probability": 0.66064453125}, {"start": 2082.19, "end": 2082.49, "word": " A", "probability": 0.6416015625}, {"start": 2082.49, "end": 2083.25, "word": " حدودها", "probability": 0.9886474609375}, {"start": 2083.25, "end": 2084.09, "word": " مختلفة", "probability": 0.9788818359375}, {"start": 2084.09, "end": 2084.31, "word": " عن", "probability": 0.97314453125}, {"start": 2084.31, "end": 2084.51, "word": " ال", "probability": 0.90673828125}, {"start": 2084.51, "end": 2084.77, "word": " C", "probability": 0.5927734375}, {"start": 2084.77, "end": 2085.53, "word": " كل", "probability": 0.56982421875}, {"start": 2085.53, "end": 2085.69, "word": " ال", "probability": 0.9501953125}, {"start": 2085.69, "end": 2086.09, "word": " xn", "probability": 0.92919921875}, {"start": 2086.09, "end": 2086.65, "word": " مختلفة", "probability": 0.9759521484375}, {"start": 2086.65, "end": 2086.77, "word": " عن", "probability": 0.984375}, {"start": 2086.77, "end": 2086.95, "word": " ال", "probability": 0.943359375}, {"start": 2086.95, "end": 2087.17, "word": " C", "probability": 0.89306640625}, {"start": 2087.17, "end": 2088.73, "word": " وموجودة", "probability": 0.925390625}, {"start": 2088.73, "end": 2089.07, "word": " في", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 81, "seek": 211817, "start": 2091.24, "end": 2118.18, "text": "v1 على n of c بحيث ان f ل xn لا تنتمي ل v epsilon zero ل n لكل n هذا معناه ان يوجد sequence xn contained in a minus c بحيث ان", "tokens": [85, 16, 15844, 297, 295, 269, 4724, 5016, 1829, 12984, 16472, 283, 5296, 2031, 77, 20193, 6055, 29399, 2304, 1829, 5296, 371, 17889, 4018, 5296, 297, 5296, 28820, 297, 23758, 20449, 8315, 3224, 16472, 7251, 29245, 3215, 8310, 2031, 77, 16212, 294, 257, 3175, 269, 4724, 5016, 1829, 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ال limit ل f of xn بيساوي العدد L، المفروض ال absolute value للفرق ده تكون أصغر من أي epsilon zero لكل N من capital N و انت طالع، لكن هذا الكلام مش صحيح", "tokens": [6027, 39184, 4948, 5296, 39184, 8310, 283, 295, 2031, 77, 5296, 15042, 297, 6055, 39648, 2423, 39184, 13202, 37893, 3714, 43020, 6055, 3794, 995, 45865, 18863, 3215, 3215, 441, 5296, 33456, 45164, 2423, 4948, 5296, 283, 295, 2031, 77, 4724, 1829, 3794, 995, 45865, 18863, 3215, 3215, 441, 12399, 9673, 5172, 32887, 11242, 2423, 8236, 2158, 24976, 5172, 2288, 4587, 11778, 3224, 6055, 30544, 5551, 9381, 17082, 2288, 9154, 36632, 17889, 4018, 5296, 28820, 426, 9154, 4238, 426, 4032, 16472, 2655, 23032, 6027, 3615, 12399, 44381, 23758, 2423, 28820, 10943, 37893, 20328, 5016, 1829, 5016], "avg_logprob": -0.24055989536767206, "compression_ratio": 1.5377777777777777, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2232.6400000000003, "end": 2233.32, "word": "الـ", "probability": 0.34521484375}, {"start": 2233.32, 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" أي", "probability": 0.8984375}, {"start": 2251.42, "end": 2251.84, "word": " epsilon", "probability": 0.46435546875}, {"start": 2251.84, "end": 2252.34, "word": " zero", "probability": 0.583984375}, {"start": 2252.34, "end": 2254.38, "word": " لكل", "probability": 0.9560546875}, {"start": 2254.38, "end": 2254.74, "word": " N", "probability": 0.59765625}, {"start": 2254.74, "end": 2255.8, "word": " من", "probability": 0.955078125}, {"start": 2255.8, "end": 2256.12, "word": " capital", "probability": 0.72900390625}, {"start": 2256.12, "end": 2256.38, "word": " N", "probability": 0.95166015625}, {"start": 2256.38, "end": 2256.48, "word": " و", "probability": 0.89501953125}, {"start": 2256.48, "end": 2256.66, "word": " انت", "probability": 0.80224609375}, {"start": 2256.66, "end": 2256.98, "word": " طالع،", "probability": 0.9254150390625}, {"start": 2256.98, "end": 2257.22, "word": " لكن", "probability": 0.9658203125}, {"start": 2257.22, "end": 2257.46, "word": " هذا", "probability": 0.95361328125}, {"start": 2257.46, "end": 2257.84, "word": " الكلام", "probability": 0.9651692708333334}, {"start": 2257.84, "end": 2258.1, "word": " مش", "probability": 0.96875}, {"start": 2258.1, "end": 2258.5, "word": " صحيح", "probability": 0.9957275390625}], "temperature": 1.0}, {"id": 87, "seek": 228125, "start": 2259.39, "end": 2281.25, "text": "Okay إن هذا بالظبط العبارة الأخيرة which which is نفي العبارة اتنين هذه العبارة الأخيرة هي نفي العبارة اتنين هذه العبارة اتنين ال statement اتنين", "tokens": [8297, 36145, 23758, 20666, 19913, 3555, 9566, 18863, 3555, 9640, 3660, 16247, 9778, 48923, 597, 597, 307, 8717, 41185, 18863, 3555, 9640, 3660, 1975, 2655, 1863, 9957, 29538, 18863, 3555, 9640, 3660, 16247, 9778, 48923, 39896, 8717, 41185, 18863, 3555, 9640, 3660, 1975, 2655, 1863, 9957, 29538, 18863, 3555, 9640, 3660, 1975, 2655, 1863, 9957, 2423, 5629, 1975, 2655, 1863, 9957], "avg_logprob": -0.1372227817773819, "compression_ratio": 2.2110091743119265, "no_speech_prob": 0.0, "words": [{"start": 2259.39, "end": 2259.81, "word": "Okay", "probability": 0.439208984375}, {"start": 2259.81, "end": 2260.05, "word": " إن", "probability": 0.265869140625}, {"start": 2260.05, "end": 2260.33, "word": " هذا", "probability": 0.7236328125}, {"start": 2260.33, "end": 2260.93, "word": " بالظبط", "probability": 0.9710693359375}, {"start": 2260.93, "end": 2261.35, "word": " العبارة", "probability": 0.968017578125}, {"start": 2261.35, "end": 2261.89, "word": " الأخيرة", "probability": 0.9671223958333334}, {"start": 2261.89, "end": 2263.31, "word": " which", "probability": 0.6025390625}, {"start": 2263.31, "end": 2268.21, "word": " which", "probability": 0.2320556640625}, {"start": 2268.21, "end": 2268.65, "word": " is", "probability": 0.96435546875}, {"start": 2268.65, "end": 2269.17, "word": " نفي", "probability": 0.97021484375}, {"start": 2269.17, "end": 2270.65, "word": " العبارة", "probability": 0.9913330078125}, {"start": 2270.65, "end": 2272.19, "word": " اتنين", 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1.0}, {"id": 94, "seek": 246267, "start": 2434.61, "end": 2462.67, "text": "هذا بكافئ أن هناك سيكوانس Xn محتوى A حدودها مختلفة عن C بحيث أن نهايتها بساوي C بط نهاية صورتها لا توجد في R", "tokens": [3224, 15730, 4724, 4117, 31845, 19986, 14739, 34105, 4117, 8608, 1829, 4117, 2407, 7649, 3794, 1783, 77, 3714, 33753, 2407, 7578, 316, 11331, 3215, 23328, 11296, 3714, 46456, 46538, 3660, 18871, 383, 4724, 5016, 1829, 12984, 14739, 8717, 11296, 36081, 11296, 4724, 3794, 995, 45865, 383, 4724, 9566, 8717, 11296, 10632, 20328, 13063, 2655, 11296, 20193, 6055, 29245, 3215, 8978, 497], "avg_logprob": -0.3109878916894236, "compression_ratio": 1.4166666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2434.61, "end": 2435.13, "word": "هذا", "probability": 0.815185546875}, {"start": 2435.13, "end": 2435.91, "word": " بكافئ", "probability": 0.83251953125}, {"start": 2435.91, "end": 2436.29, "word": " أن", "probability": 0.24853515625}, {"start": 2436.29, "end": 2437.35, "word": 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2450.87, "word": " بساوي", "probability": 0.63031005859375}, {"start": 2450.87, "end": 2451.33, "word": " C", "probability": 0.76708984375}, {"start": 2451.33, "end": 2451.93, "word": " بط", "probability": 0.693603515625}, {"start": 2451.93, "end": 2453.93, "word": " نهاية", "probability": 0.8043619791666666}, {"start": 2453.93, "end": 2455.29, "word": " صورتها", "probability": 0.986328125}, {"start": 2455.29, "end": 2460.31, "word": " لا", "probability": 0.53564453125}, {"start": 2460.31, "end": 2461.29, "word": " توجد", "probability": 0.7701009114583334}, {"start": 2461.29, "end": 2462.17, "word": " في", "probability": 0.8427734375}, {"start": 2462.17, "end": 2462.67, "word": " R", "probability": 0.876953125}], "temperature": 1.0}, {"id": 95, "seek": 249113, "start": 2476.23, "end": 2491.13, "text": "كمان النظرية هذه مرهانها ينتج مباشرة من النظرية اللي فوق مثلا هي عندي لإثبات ال band الأول عشان أثبت limit f of x مستويش L and C", "tokens": [24793, 7649, 28239, 19913, 2288, 10632, 29538, 3714, 2288, 3224, 7649, 11296, 7251, 29399, 7435, 3714, 3555, 33599, 25720, 9154, 28239, 19913, 2288, 10632, 13672, 1829, 6156, 30543, 50113, 15040, 39896, 18871, 16254, 5296, 28814, 12984, 3555, 9307, 2423, 4116, 16247, 12610, 6225, 8592, 7649, 5551, 12984, 3555, 2655, 4948, 283, 295, 2031, 3714, 14851, 45865, 8592, 441, 293, 383], "avg_logprob": -0.2256659845836827, "compression_ratio": 1.4228187919463087, "no_speech_prob": 0.0, "words": [{"start": 2476.2299999999996, "end": 2477.1099999999997, "word": "كمان", "probability": 0.519195556640625}, {"start": 2477.1099999999997, "end": 2477.99, "word": " النظرية", "probability": 0.84698486328125}, {"start": 2477.99, "end": 2478.47, "word": " هذه", "probability": 0.76318359375}, {"start": 2478.47, "end": 2479.45, "word": " مرهانها", "probability": 0.72578125}, {"start": 2479.45, "end": 2479.97, "word": " ينتج", "probability": 0.9625651041666666}, {"start": 2479.97, "end": 2480.61, "word": " مباشرة", "probability": 0.9825439453125}, {"start": 2480.61, "end": 2480.83, "word": " من", "probability": 0.97802734375}, {"start": 2480.83, "end": 2481.25, "word": " النظرية", "probability": 0.8690185546875}, {"start": 2481.25, "end": 2481.43, "word": " اللي", "probability": 0.716064453125}, {"start": 2481.43, "end": 2482.25, "word": " فوق", "probability": 0.966064453125}, {"start": 2482.25, "end": 2483.79, "word": " مثلا", "probability": 0.949462890625}, {"start": 2483.79, "end": 2484.09, "word": " هي", "probability": 0.451904296875}, {"start": 2484.09, "end": 2484.53, "word": " عندي", "probability": 0.92822265625}, {"start": 2484.53, "end": 2485.65, "word": " لإثبات", "probability": 0.90654296875}, {"start": 2485.65, "end": 2485.81, "word": " ال", "probability": 0.80859375}, {"start": 2485.81, "end": 2486.01, "word": " band", "probability": 0.50341796875}, {"start": 2486.01, "end": 2486.53, "word": " الأول", "probability": 0.95166015625}, {"start": 2486.53, "end": 2487.99, "word": " عشان", "probability": 0.9723307291666666}, {"start": 2487.99, "end": 2488.35, "word": " أثبت", "probability": 0.93994140625}, {"start": 2488.35, "end": 2488.59, "word": " limit", "probability": 0.970703125}, {"start": 2488.59, "end": 2488.83, "word": " f", "probability": 0.72607421875}, {"start": 2488.83, "end": 2489.01, "word": " of", "probability": 0.55810546875}, {"start": 2489.01, "end": 2489.31, "word": " x", "probability": 0.87890625}, {"start": 2489.31, "end": 2490.03, "word": " مستويش", "probability": 0.6844482421875}, {"start": 2490.03, "end": 2490.35, "word": " L", "probability": 0.619140625}, {"start": 2490.35, "end": 2490.81, "word": " and", "probability": 0.7919921875}, {"start": 2490.81, "end": 2491.13, "word": " C", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 96, "seek": 252038, "start": 2494.38, "end": 2520.38, "text": "يعني كإني بقول نفي العبارة واحد هذا هو نفي العبارة واحد طب احنا لسه بثبتين ان واحد بكافي اتنين وبالتالي نفي العبارة واحد بكافي نفي الاتنين فنفي الاتنين هذا هو يوجد a sequence تتقارب ل C لكن صورة تلاتة تتقارب لL إذا برهان الجزء الأول نتيجة مباشرة على مضارية ال form والجزء التاني زيه بدل هنا", "tokens": [40228, 22653, 9122, 28814, 22653, 4724, 39648, 8717, 41185, 18863, 3555, 9640, 3660, 36764, 24401, 23758, 31439, 8717, 41185, 18863, 3555, 9640, 3660, 36764, 24401, 23032, 3555, 1975, 5016, 8315, 5296, 3794, 3224, 4724, 12984, 3555, 2655, 9957, 16472, 36764, 24401, 4724, 4117, 31845, 1829, 1975, 2655, 1863, 9957, 46599, 6027, 2655, 6027, 1829, 8717, 41185, 18863, 3555, 9640, 3660, 36764, 24401, 4724, 4117, 31845, 1829, 8717, 41185, 2423, 9307, 1863, 9957, 6156, 1863, 41185, 2423, 9307, 1863, 9957, 23758, 31439, 7251, 29245, 3215, 257, 8310, 6055, 2655, 4587, 9640, 3555, 5296, 383, 44381, 20328, 13063, 3660, 6055, 1211, 9307, 3660, 6055, 2655, 4587, 9640, 3555, 5296, 43, 11933, 15730, 4724, 2288, 3224, 7649, 25724, 11622, 38207, 16247, 12610, 8717, 31371, 7435, 3660, 3714, 3555, 33599, 25720, 15844, 3714, 11242, 9640, 10632, 2423, 1254, 16070, 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exist يعني لو اخدت اي عدد L فال limit هنا لا تساوي L معناته انه في sequence و الكلام هذا ال limit هذه ماسويش اي L اي عدد حقيقي اذا النظرية هذه نتيجة مباشرة على النظرية sequential criterion النظرية التي سبقتها", "tokens": [3615, 8592, 7649, 1975, 39648, 16472, 2423, 4948, 29538, 775, 406, 2514, 37495, 22653, 45164, 1975, 9778, 3215, 2655, 1975, 1829, 6225, 3215, 3215, 441, 6156, 6027, 4948, 34105, 20193, 6055, 3794, 995, 45865, 441, 20449, 8315, 47395, 16472, 3224, 8978, 8310, 4032, 2423, 28820, 10943, 23758, 2423, 4948, 29538, 19446, 3794, 45865, 8592, 1975, 1829, 441, 1975, 1829, 6225, 3215, 3215, 11331, 38436, 38436, 1975, 15730, 28239, 19913, 2288, 10632, 29538, 8717, 31371, 7435, 3660, 3714, 3555, 33599, 25720, 15844, 28239, 19913, 2288, 10632, 42881, 46691, 28239, 19913, 2288, 10632, 38392, 8608, 3555, 38149, 11296], "avg_logprob": -0.22132731958762886, "compression_ratio": 1.7638888888888888, "no_speech_prob": 0.0, "words": [{"start": 2521.71, "end": 2522.13, "word": "عشان", 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" واحد", "probability": 0.8076171875}, {"start": 2641.26, "end": 2641.44, "word": " على", "probability": 0.6923828125}, {"start": 2641.44, "end": 2641.74, "word": " n", "probability": 0.6357421875}, {"start": 2641.74, "end": 2642.42, "word": " لكل", "probability": 0.846435546875}, {"start": 2642.42, "end": 2642.8, "word": " n", "probability": 0.76953125}, {"start": 2642.8, "end": 2643.04, "word": " في", "probability": 0.939453125}, {"start": 2643.04, "end": 2643.4, "word": " n", "probability": 0.31494140625}, {"start": 2643.4, "end": 2645.8, "word": " فواضح", "probability": 0.9049072265625}, {"start": 2645.8, "end": 2646.08, "word": " أنه", "probability": 0.517822265625}, {"start": 2646.08, "end": 2646.4, "word": " limit", "probability": 0.96240234375}, {"start": 2646.4, "end": 2648.36, "word": " xn", "probability": 0.9384765625}, {"start": 2648.36, "end": 2650.44, "word": " بالساوي", "probability": 0.8885498046875}, {"start": 2650.44, "end": 2650.88, "word": " limit", "probability": 0.9150390625}, {"start": 2650.88, "end": 2651.96, "word": " واحد", "probability": 0.9443359375}, {"start": 2651.96, "end": 2652.14, "word": " على", "probability": 0.91943359375}, {"start": 2652.14, "end": 2652.56, "word": " n", "probability": 0.96337890625}, {"start": 2652.56, "end": 2653.68, "word": " بتساوي", "probability": 0.8863525390625}, {"start": 2653.68, "end": 2654.12, "word": " سفر", "probability": 0.8517252604166666}, {"start": 2654.12, "end": 2656.46, "word": " وواضح", "probability": 0.903564453125}, {"start": 2656.46, "end": 2656.72, "word": " أنه", "probability": 0.657958984375}, {"start": 2656.72, "end": 2657.48, "word": " xn", "probability": 0.941162109375}, {"start": 2657.48, "end": 2659.06, "word": " contained", "probability": 0.7607421875}, {"start": 2659.06, "end": 2659.48, "word": " in", "probability": 0.95458984375}, {"start": 2659.48, "end": 2659.78, "word": " a", "probability": 0.5087890625}, {"start": 2659.78, "end": 2659.98, "word": " اللي", "probability": 0.93310546875}, {"start": 2659.98, "end": 2660.1, "word": " هي", "probability": 0.77783203125}, {"start": 2660.1, "end": 2660.58, "word": " الفترة", "probability": 0.99169921875}, {"start": 2660.58, "end": 2661.08, "word": " هذه", "probability": 0.7724609375}, {"start": 2661.08, "end": 2662.24, "word": " معدى", "probability": 0.6359049479166666}, {"start": 2662.24, "end": 2662.8, "word": " السفر", "probability": 0.9327799479166666}, {"start": 2662.8, "end": 2663.7, "word": " صح؟", "probability": 0.8728841145833334}], "temperature": 1.0}, {"id": 102, "seek": 269031, "start": 2665.27, "end": 2690.31, "text": "وعندي ال limit لل image لل sequence xn بساوي ال limit ل 1 على xn لما n تقوى ل infinity بساوي ال limit ل n لما n تقوى ل infinity بساوي infinity وهذه طبعا ال infinity does not exist in R ليست عدد حقيقي", "tokens": [2407, 3615, 1863, 16254, 2423, 4948, 24976, 3256, 24976, 8310, 2031, 77, 4724, 3794, 995, 45865, 2423, 4948, 5296, 502, 15844, 2031, 77, 5296, 15042, 297, 6055, 4587, 2407, 7578, 5296, 13202, 4724, 3794, 995, 45865, 2423, 4948, 5296, 297, 5296, 15042, 297, 6055, 4587, 2407, 7578, 5296, 13202, 4724, 3794, 995, 45865, 13202, 37037, 24192, 23032, 3555, 3615, 995, 2423, 13202, 775, 406, 2514, 294, 497, 32239, 14851, 6225, 3215, 3215, 11331, 38436, 38436], "avg_logprob": -0.20775082276055687, "compression_ratio": 1.7435897435897436, "no_speech_prob": 0.0, "words": [{"start": 2665.27, "end": 2666.19, "word": "وعندي", "probability": 0.7564697265625}, {"start": 2666.19, "end": 2666.49, "word": " ال", "probability": 0.46435546875}, {"start": 2666.49, "end": 2666.89, "word": " limit", "probability": 0.89208984375}, {"start": 2666.89, "end": 2668.67, "word": " لل", "probability": 0.78564453125}, {"start": 2668.67, "end": 2669.13, "word": " image", "probability": 0.76513671875}, {"start": 2669.13, "end": 2669.39, "word": " لل", "probability": 0.6376953125}, {"start": 2669.39, "end": 2669.89, "word": " sequence", "probability": 0.931640625}, {"start": 2669.89, "end": 2670.53, "word": " xn", "probability": 0.488037109375}, {"start": 2670.53, "end": 2671.17, "word": " بساوي", "probability": 0.83203125}, {"start": 2671.17, "end": 2671.31, "word": " ال", "probability": 0.439697265625}, {"start": 2671.31, "end": 2671.67, "word": " limit", "probability": 0.95703125}, {"start": 2671.67, "end": 2673.91, "word": " ل", "probability": 0.8828125}, {"start": 2673.91, "end": 2674.37, "word": " 1", "probability": 0.434326171875}, {"start": 2674.37, "end": 2674.79, "word": " على", "probability": 0.56396484375}, {"start": 2674.79, "end": 2675.71, "word": " xn", "probability": 0.957275390625}, {"start": 2675.71, "end": 2676.21, "word": " لما", "probability": 0.880615234375}, {"start": 2676.21, "end": 2676.49, "word": " n", "probability": 0.5380859375}, {"start": 2676.49, "end": 2676.83, "word": " تقوى", "probability": 0.7401123046875}, {"start": 2676.83, "end": 2676.95, "word": " ل", "probability": 0.814453125}, {"start": 2676.95, "end": 2677.47, "word": " infinity", "probability": 0.6494140625}, {"start": 2677.47, "end": 2678.11, "word": " بساوي", "probability": 0.9368896484375}, {"start": 2678.11, "end": 2678.25, "word": " ال", "probability": 0.673828125}, {"start": 2678.25, "end": 2678.59, "word": " limit", "probability": 0.9833984375}, {"start": 2678.59, "end": 2680.13, "word": " ل", "probability": 0.9814453125}, {"start": 2680.13, "end": 2680.43, "word": " n", "probability": 0.7041015625}, {"start": 2680.43, "end": 2680.73, "word": " لما", "probability": 0.97216796875}, {"start": 2680.73, "end": 2681.03, "word": " n", "probability": 0.83544921875}, {"start": 2681.03, "end": 2681.35, "word": " تقوى", "probability": 0.9820556640625}, {"start": 2681.35, "end": 2681.49, "word": " ل", "probability": 0.9716796875}, {"start": 2681.49, "end": 2682.01, "word": " infinity", "probability": 0.92822265625}, {"start": 2682.01, "end": 2682.77, "word": " بساوي", "probability": 0.9522705078125}, {"start": 2682.77, "end": 2683.41, "word": " infinity", "probability": 0.79833984375}, {"start": 2683.41, "end": 2684.61, "word": " وهذه", "probability": 0.64404296875}, {"start": 2684.61, "end": 2685.01, "word": " طبعا", "probability": 0.850341796875}, {"start": 2685.01, "end": 2685.13, "word": " ال", "probability": 0.9423828125}, {"start": 2685.13, "end": 2685.59, "word": " infinity", "probability": 0.92578125}, {"start": 2685.59, "end": 2686.25, "word": " does", "probability": 0.5576171875}, {"start": 2686.25, "end": 2686.63, "word": " not", "probability": 0.958984375}, {"start": 2686.63, "end": 2687.33, "word": " exist", "probability": 0.94921875}, {"start": 2687.33, "end": 2687.75, "word": " in", "probability": 0.8408203125}, {"start": 2687.75, "end": 2688.01, "word": " R", "probability": 0.9345703125}, {"start": 2688.01, "end": 2688.65, "word": " ليست", "probability": 0.8125}, {"start": 2688.65, "end": 2689.73, "word": " عدد", "probability": 0.9775390625}, {"start": 2689.73, "end": 2690.31, "word": " حقيقي", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 103, "seek": 271810, "start": 2691.92, "end": 2718.1, "text": "النهاية نجحت في إيجاد sequence موجودة في A وحدودها مختلفة عن السفر ونهايتها سفر لكن نهاية صورتها مش موجودة في R وبالتالي therefore by divergence criterion limit ل F of X أو واحد على X", "tokens": [6027, 1863, 11296, 10632, 8717, 7435, 33753, 8978, 11933, 1829, 7435, 18513, 8310, 3714, 29245, 23328, 3660, 8978, 316, 4032, 24401, 23328, 11296, 3714, 46456, 46538, 3660, 18871, 21136, 5172, 2288, 4032, 1863, 11296, 36081, 11296, 8608, 5172, 2288, 44381, 8717, 11296, 10632, 20328, 13063, 2655, 11296, 37893, 3714, 29245, 23328, 3660, 8978, 497, 46599, 6027, 2655, 6027, 1829, 4412, 538, 47387, 46691, 4948, 5296, 479, 295, 1783, 34051, 36764, 24401, 15844, 1783], "avg_logprob": -0.1667018542821343, "compression_ratio": 1.46875, "no_speech_prob": 0.0, "words": [{"start": 2691.92, "end": 2692.44, "word": "النهاية", "probability": 0.72894287109375}, {"start": 2692.44, "end": 2692.98, "word": " نجحت", "probability": 0.9207356770833334}, {"start": 2692.98, "end": 2693.32, "word": " في", "probability": 0.8896484375}, {"start": 2693.32, "end": 2693.86, "word": " إيجاد", "probability": 0.9671630859375}, {"start": 2693.86, "end": 2694.5, "word": " sequence", "probability": 0.744140625}, {"start": 2694.5, "end": 2695.5, "word": " موجودة", "probability": 0.9737548828125}, {"start": 2695.5, "end": 2695.7, "word": " في", "probability": 0.95849609375}, {"start": 2695.7, "end": 2695.98, "word": " A", "probability": 0.413818359375}, {"start": 2695.98, "end": 2696.62, "word": " وحدودها", "probability": 0.80340576171875}, {"start": 2696.62, "end": 2697.14, "word": " مختلفة", "probability": 0.970947265625}, {"start": 2697.14, "end": 2697.28, "word": " عن", "probability": 0.986328125}, {"start": 2697.28, "end": 2697.68, "word": " السفر", "probability": 0.8636067708333334}, {"start": 2697.68, "end": 2698.94, "word": " ونهايتها", "probability": 0.806640625}, {"start": 2698.94, "end": 2699.44, "word": " سفر", "probability": 0.9617513020833334}, {"start": 2699.44, "end": 2700.34, "word": " لكن", "probability": 0.849609375}, {"start": 2700.34, "end": 2700.84, "word": " نهاية", "probability": 0.9230143229166666}, {"start": 2700.84, "end": 2701.42, "word": " صورتها", "probability": 0.9908447265625}, {"start": 2701.42, "end": 2702.58, "word": " مش", "probability": 0.93212890625}, {"start": 2702.58, "end": 2704.16, "word": " موجودة", "probability": 0.9788818359375}, {"start": 2704.16, "end": 2704.4, "word": " في", "probability": 0.96875}, {"start": 2704.4, "end": 2704.72, "word": " R", "probability": 0.947265625}, {"start": 2704.72, "end": 2705.96, "word": " وبالتالي", "probability": 0.877734375}, {"start": 2705.96, "end": 2706.44, "word": " therefore", "probability": 0.376708984375}, {"start": 2706.44, "end": 2706.96, "word": " by", "probability": 0.912109375}, {"start": 2706.96, "end": 2708.78, "word": " divergence", "probability": 0.95166015625}, {"start": 2708.78, "end": 2709.9, "word": " criterion", "probability": 0.96435546875}, {"start": 2709.9, "end": 2714.02, "word": " limit", "probability": 0.46337890625}, {"start": 2714.02, "end": 2715.74, "word": " ل", "probability": 0.7314453125}, {"start": 2715.74, "end": 2716.1, "word": " F", "probability": 0.296142578125}, {"start": 2716.1, "end": 2716.32, "word": " of", "probability": 0.6611328125}, {"start": 2716.32, "end": 2716.68, "word": " X", "probability": 0.93896484375}, {"start": 2716.68, "end": 2717.0, "word": " أو", "probability": 0.5419921875}, {"start": 2717.0, "end": 2717.42, "word": " واحد", "probability": 0.846435546875}, {"start": 2717.42, "end": 2717.64, "word": " على", "probability": 0.71337890625}, {"start": 2717.64, "end": 2718.1, "word": " X", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 104, "seek": 274542, "start": 2719.84, "end": 2745.42, "text": "لما x سقول إلى 0 does not exist in R وفي حقيقة الأمر اثبتنا ان limit 1 على x لما x سقول إلى 0 من اليمين غير موجودة لان اخذنا المجال كل الاعداد الموجودة بالمثل ممكن اثبات ان limit ل1 على x", "tokens": [1211, 15042, 2031, 8608, 39648, 30731, 1958, 775, 406, 2514, 294, 497, 4032, 41185, 11331, 38436, 28671, 16247, 29973, 1975, 12984, 3555, 2655, 8315, 16472, 4948, 502, 15844, 2031, 5296, 15042, 2031, 8608, 39648, 30731, 1958, 9154, 2423, 32640, 9957, 32771, 13546, 3714, 29245, 23328, 3660, 5296, 7649, 1975, 9778, 8848, 8315, 9673, 7435, 6027, 28242, 42963, 22488, 18513, 9673, 29245, 23328, 3660, 20666, 2304, 12984, 1211, 3714, 43020, 1975, 12984, 3555, 9307, 16472, 4948, 5296, 16, 15844, 2031], "avg_logprob": -0.2597656320780516, "compression_ratio": 1.6483516483516483, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2719.84, "end": 2720.28, "word": "لما", "probability": 0.650146484375}, {"start": 2720.28, "end": 2720.5, "word": " x", "probability": 0.453369140625}, {"start": 2720.5, "end": 2720.94, "word": " سقول", "probability": 0.29278564453125}, {"start": 2720.94, "end": 2721.22, "word": " إلى", "probability": 0.771484375}, {"start": 2721.22, "end": 2721.66, "word": " 0", "probability": 0.384033203125}, {"start": 2721.66, "end": 2722.9, "word": " does", "probability": 0.30029296875}, {"start": 2722.9, "end": 2723.24, "word": " not", "probability": 0.96240234375}, {"start": 2723.24, "end": 2723.88, "word": " exist", "probability": 0.96826171875}, {"start": 2723.88, "end": 2724.36, "word": " in", "probability": 0.8427734375}, {"start": 2724.36, "end": 2724.78, "word": " R", "probability": 0.9462890625}, {"start": 2724.78, "end": 2726.18, "word": " وفي", "probability": 0.669677734375}, {"start": 2726.18, "end": 2726.62, "word": " حقيقة", "probability": 0.990234375}, {"start": 2726.62, "end": 2726.9, "word": " الأمر", "probability": 0.869873046875}, {"start": 2726.9, "end": 2727.76, "word": " اثبتنا", "probability": 0.82255859375}, {"start": 2727.76, "end": 2727.9, "word": " ان", "probability": 0.67333984375}, {"start": 2727.9, "end": 2728.12, "word": " limit", "probability": 0.63525390625}, {"start": 2728.12, "end": 2728.36, "word": " 1", "probability": 0.8173828125}, {"start": 2728.36, "end": 2728.6, "word": " على", "probability": 0.66748046875}, {"start": 2728.6, "end": 2728.86, "word": " x", "probability": 0.90673828125}, {"start": 2728.86, "end": 2729.58, "word": " لما", "probability": 0.929443359375}, {"start": 2729.58, "end": 2729.82, "word": " x", "probability": 0.96337890625}, {"start": 2729.82, "end": 2730.16, "word": " سقول", "probability": 0.90234375}, {"start": 2730.16, "end": 2730.38, "word": " إلى", "probability": 0.93798828125}, {"start": 2730.38, "end": 2730.7, "word": " 0", "probability": 0.822265625}, {"start": 2730.7, "end": 2731.04, "word": " من", "probability": 0.9677734375}, {"start": 2731.04, "end": 2731.66, "word": " اليمين", "probability": 0.8429361979166666}, {"start": 2731.66, "end": 2732.86, "word": " غير", "probability": 0.875244140625}, {"start": 2732.86, "end": 2733.44, "word": " موجودة", "probability": 0.849609375}, {"start": 2733.44, "end": 2733.64, "word": " لان", "probability": 0.7161865234375}, {"start": 2733.64, "end": 2734.18, "word": " اخذنا", "probability": 0.791015625}, {"start": 2734.18, "end": 2734.72, "word": " المجال", "probability": 0.97265625}, {"start": 2734.72, "end": 2735.5, "word": " كل", "probability": 0.6015625}, {"start": 2735.5, "end": 2735.92, "word": " الاعداد", "probability": 0.7578125}, {"start": 2735.92, "end": 2736.82, "word": " الموجودة", "probability": 0.9581298828125}, {"start": 2736.82, "end": 2738.52, "word": " بالمثل", "probability": 0.9801025390625}, {"start": 2738.52, "end": 2739.76, "word": " ممكن", "probability": 0.6519775390625}, {"start": 2739.76, "end": 2740.42, "word": " اثبات", "probability": 0.8935546875}, {"start": 2740.42, "end": 2742.62, "word": " ان", "probability": 0.57958984375}, {"start": 2742.62, "end": 2743.16, "word": " limit", "probability": 0.59716796875}, {"start": 2743.16, "end": 2744.72, "word": " ل1", "probability": 0.5087890625}, {"start": 2744.72, "end": 2745.02, "word": " على", "probability": 0.8310546875}, {"start": 2745.02, "end": 2745.42, "word": " x", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 105, "seek": 275125, "start": 2746.71, "end": 2751.25, "text": "لمّا X تقول إلى سفر من اليسار does not exist", "tokens": [19528, 11703, 995, 1783, 6055, 39648, 30731, 8608, 5172, 2288, 9154, 45595, 3794, 9640, 775, 406, 2514], "avg_logprob": -0.18446180555555555, "compression_ratio": 0.8918918918918919, "no_speech_prob": 0.0, "words": [{"start": 2746.71, "end": 2747.19, "word": "لمّا", "probability": 0.7889811197916666}, {"start": 2747.19, "end": 2747.39, "word": " X", "probability": 0.5390625}, {"start": 2747.39, "end": 2747.81, "word": " تقول", "probability": 0.93017578125}, {"start": 2747.81, "end": 2748.09, "word": " إلى", "probability": 0.9052734375}, {"start": 2748.09, "end": 2748.61, "word": " سفر", "probability": 0.7569986979166666}, {"start": 2748.61, "end": 2748.83, "word": " من", "probability": 0.994140625}, {"start": 2748.83, "end": 2749.49, "word": " اليسار", "probability": 0.9938151041666666}, {"start": 2749.49, "end": 2750.39, "word": " does", "probability": 0.541015625}, {"start": 2750.39, "end": 2750.71, "word": " not", "probability": 0.96923828125}, {"start": 2750.71, "end": 2751.25, "word": " exist", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 106, "seek": 278144, "start": 2752.6, "end": 2781.44, "text": "ان انا اخد المرة هذه ال X هنا في الدالة هذه ال domain تبعها الفترة من سالب ماله نهاية الى سفر و اقول ان ال X هنا أصغر من سفر و نفس البرهان هيطلع عندى ال limit لما X تقوله سفر من اليسار does not exist وبالتالي ال limit عند ال X من الجهتين does not exist تمام okay هذا مثال مثال تاني واضح فيه اي سفصار فيه اي سؤال", "tokens": [7649, 1975, 8315, 1975, 9778, 3215, 9673, 25720, 29538, 2423, 1783, 34105, 8978, 32748, 6027, 3660, 29538, 2423, 9274, 6055, 3555, 3615, 11296, 27188, 2655, 25720, 9154, 8608, 6027, 3555, 3714, 6027, 3224, 8717, 11296, 10632, 2423, 7578, 8608, 5172, 2288, 4032, 1975, 39648, 16472, 2423, 1783, 34105, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 4032, 8717, 36178, 2423, 26890, 3224, 7649, 39896, 9566, 1211, 3615, 43242, 7578, 2423, 4948, 5296, 15042, 1783, 6055, 39648, 3224, 8608, 5172, 2288, 9154, 45595, 3794, 9640, 775, 406, 2514, 46599, 6027, 2655, 6027, 1829, 2423, 4948, 43242, 2423, 1783, 9154, 25724, 3224, 2655, 9957, 775, 406, 2514, 46811, 10943, 1392, 23758, 50113, 6027, 50113, 6027, 6055, 7649, 1829, 4032, 46958, 5016, 8978, 3224, 1975, 1829, 8608, 5172, 9381, 9640, 8978, 3224, 1975, 1829, 8608, 33604, 6027], "avg_logprob": -0.2162036970809654, "compression_ratio": 1.9423076923076923, "no_speech_prob": 0.0, "words": [{"start": 2752.6, "end": 2752.88, "word": "ان", "probability": 0.1881103515625}, {"start": 2752.88, "end": 2753.02, "word": " انا", "probability": 0.82177734375}, {"start": 2753.02, "end": 2753.3, "word": " اخد", "probability": 0.7320149739583334}, {"start": 2753.3, "end": 2753.66, "word": " المرة", "probability": 0.741455078125}, {"start": 2753.66, "end": 2754.06, "word": " هذه", "probability": 0.49560546875}, {"start": 2754.06, "end": 2754.36, "word": " ال", "probability": 0.87841796875}, {"start": 2754.36, "end": 2754.62, "word": " X", "probability": 0.443359375}, {"start": 2754.62, "end": 2754.92, "word": " هنا", "probability": 0.947265625}, {"start": 2754.92, "end": 2755.1, "word": " في", "probability": 0.85693359375}, {"start": 2755.1, "end": 2755.54, "word": " الدالة", "probability": 0.9287109375}, {"start": 2755.54, "end": 2755.9, "word": " هذه", "probability": 0.849609375}, {"start": 2755.9, "end": 2756.56, "word": " ال", "probability": 0.8076171875}, {"start": 2756.56, "end": 2756.86, "word": " domain", "probability": 0.98291015625}, {"start": 2756.86, "end": 2757.5, "word": " تبعها", "probability": 0.9544677734375}, {"start": 2757.5, "end": 2758.68, "word": " الفترة", "probability": 0.9334309895833334}, {"start": 2758.68, "end": 2758.86, "word": " من", "probability": 0.990234375}, {"start": 2758.86, "end": 2759.38, "word": " سالب", "probability": 0.84375}, {"start": 2759.38, "end": 2759.64, "word": " ماله", "probability": 0.5052083333333334}, {"start": 2759.64, "end": 2760.22, "word": " نهاية", "probability": 0.73291015625}, {"start": 2760.22, "end": 2760.56, "word": " الى", "probability": 0.72607421875}, {"start": 2760.56, "end": 2761.12, "word": " سفر", "probability": 0.8011067708333334}, {"start": 2761.12, "end": 2761.98, "word": " و", "probability": 0.56787109375}, {"start": 2761.98, "end": 2762.26, "word": " اقول", "probability": 0.866943359375}, {"start": 2762.26, "end": 2762.46, "word": " ان", "probability": 0.9033203125}, {"start": 2762.46, "end": 2762.62, "word": " ال", "probability": 0.666015625}, {"start": 2762.62, "end": 2762.84, "word": " X", "probability": 0.9736328125}, {"start": 2762.84, "end": 2763.1, "word": " هنا", "probability": 0.98291015625}, {"start": 2763.1, "end": 2763.64, "word": " أصغر", "probability": 0.72296142578125}, {"start": 2763.64, "end": 2763.8, "word": " من", "probability": 0.99365234375}, {"start": 2763.8, "end": 2764.26, "word": " سفر", "probability": 0.9638671875}, {"start": 2764.26, "end": 2764.92, "word": " و", "probability": 0.93701171875}, {"start": 2764.92, "end": 2765.14, "word": " نفس", "probability": 0.978271484375}, {"start": 2765.14, "end": 2765.72, "word": " البرهان", "probability": 0.895751953125}, {"start": 2765.72, "end": 2766.16, "word": " هيطلع", "probability": 0.8829345703125}, {"start": 2766.16, "end": 2766.62, "word": " عندى", "probability": 0.870849609375}, {"start": 2766.62, "end": 2767.3, "word": " ال", "probability": 0.623046875}, {"start": 2767.3, "end": 2767.62, "word": " limit", "probability": 0.96533203125}, {"start": 2767.62, "end": 2767.94, "word": " لما", "probability": 0.83154296875}, {"start": 2767.94, "end": 2768.2, "word": " X", "probability": 0.92138671875}, {"start": 2768.2, "end": 2768.58, "word": " تقوله", "probability": 0.6529134114583334}, {"start": 2768.58, "end": 2768.88, "word": " سفر", "probability": 0.9054361979166666}, {"start": 2768.88, "end": 2769.08, "word": " من", "probability": 0.96826171875}, {"start": 2769.08, "end": 2769.6, "word": " اليسار", "probability": 0.9905598958333334}, {"start": 2769.6, "end": 2769.82, "word": " does", "probability": 0.57666015625}, {"start": 2769.82, "end": 2770.04, "word": " not", "probability": 0.9677734375}, {"start": 2770.04, "end": 2770.52, "word": " exist", "probability": 0.97119140625}, {"start": 2770.52, "end": 2771.54, "word": " وبالتالي", "probability": 0.8728515625}, {"start": 2771.54, "end": 2771.7, "word": " ال", "probability": 0.7421875}, {"start": 2771.7, "end": 2772.0, "word": " limit", "probability": 0.9833984375}, {"start": 2772.0, "end": 2772.32, "word": " عند", "probability": 0.98828125}, {"start": 2772.32, "end": 2772.5, "word": " ال", "probability": 0.7265625}, {"start": 2772.5, "end": 2772.72, "word": " X", "probability": 0.98486328125}, {"start": 2772.72, "end": 2772.92, "word": " من", "probability": 0.99462890625}, {"start": 2772.92, "end": 2773.5, "word": " الجهتين", "probability": 0.9727783203125}, {"start": 2773.5, "end": 2773.74, "word": " does", "probability": 0.89453125}, {"start": 2773.74, "end": 2773.96, "word": " not", "probability": 0.96728515625}, {"start": 2773.96, "end": 2774.5, "word": " exist", "probability": 0.97509765625}, {"start": 2774.5, "end": 2775.5, "word": " تمام", "probability": 0.814208984375}, {"start": 2775.5, "end": 2776.24, "word": " okay", "probability": 0.3017578125}, {"start": 2776.24, "end": 2777.16, "word": " هذا", "probability": 0.6435546875}, {"start": 2777.16, "end": 2777.66, "word": " مثال", "probability": 0.960205078125}, {"start": 2777.66, "end": 2778.86, "word": " مثال", "probability": 0.89501953125}, {"start": 2778.86, "end": 2779.32, "word": " تاني", "probability": 0.8103841145833334}, {"start": 2779.32, "end": 2779.82, "word": " واضح", "probability": 0.9825846354166666}, {"start": 2779.82, "end": 2780.04, "word": " فيه", "probability": 0.7998046875}, {"start": 2780.04, "end": 2780.16, "word": " اي", "probability": 0.742919921875}, {"start": 2780.16, "end": 2780.68, "word": " سفصار", "probability": 0.63177490234375}, {"start": 2780.68, "end": 2780.96, "word": " فيه", "probability": 0.5916748046875}, {"start": 2780.96, "end": 2781.08, "word": " اي", "probability": 0.904296875}, {"start": 2781.08, "end": 2781.44, "word": " سؤال", "probability": 0.9952799479166666}], "temperature": 1.0}, {"id": 107, "seek": 281245, "start": 2785.39, "end": 2812.45, "text": "ناخد مثال تاني show that limit للـ signum function signum x لما x تقول إلى سفر does not exist where حيث و ال signum function where", "tokens": [1863, 47283, 3215, 50113, 6027, 6055, 7649, 1829, 855, 300, 4948, 24976, 39184, 1465, 449, 2445, 1465, 449, 2031, 5296, 15042, 2031, 6055, 39648, 30731, 8608, 5172, 2288, 775, 406, 2514, 689, 11331, 1829, 12984, 4032, 2423, 1465, 449, 2445, 689], "avg_logprob": -0.31975447209108443, "compression_ratio": 1.2713178294573644, "no_speech_prob": 0.0, "words": [{"start": 2785.39, "end": 2785.89, "word": "ناخد", "probability": 0.7127278645833334}, {"start": 2785.89, "end": 2786.31, "word": " مثال", "probability": 0.9462890625}, {"start": 2786.31, "end": 2787.29, "word": " تاني", "probability": 0.8855794270833334}, {"start": 2787.29, "end": 2795.81, "word": " show", "probability": 0.3740234375}, {"start": 2795.81, "end": 2796.23, "word": " that", "probability": 0.9072265625}, {"start": 2796.23, "end": 2796.85, "word": " limit", "probability": 0.5810546875}, {"start": 2796.85, "end": 2799.53, "word": " للـ", "probability": 0.28485107421875}, {"start": 2799.53, "end": 2799.91, "word": " signum", "probability": 0.7568359375}, {"start": 2799.91, "end": 2800.45, "word": " function", "probability": 0.9189453125}, {"start": 2800.45, "end": 2801.09, "word": " signum", "probability": 0.785888671875}, {"start": 2801.09, "end": 2801.47, "word": " x", "probability": 0.703125}, {"start": 2801.47, "end": 2801.83, "word": " لما", "probability": 0.846923828125}, {"start": 2801.83, "end": 2802.07, "word": " x", "probability": 0.90185546875}, {"start": 2802.07, "end": 2802.59, "word": " تقول", "probability": 0.90283203125}, {"start": 2802.59, "end": 2802.93, "word": " إلى", "probability": 0.560546875}, {"start": 2802.93, "end": 2803.41, "word": " سفر", "probability": 0.750732421875}, {"start": 2803.41, "end": 2804.37, "word": " does", "probability": 0.8115234375}, {"start": 2804.37, "end": 2804.67, "word": " not", "probability": 0.96728515625}, {"start": 2804.67, "end": 2805.21, "word": " exist", "probability": 0.970703125}, {"start": 2805.21, "end": 2807.81, "word": " where", "probability": 0.8857421875}, {"start": 2807.81, "end": 2808.33, "word": " حيث", "probability": 0.9480794270833334}, {"start": 2808.33, "end": 2808.49, "word": " و", "probability": 0.30322265625}, {"start": 2808.49, "end": 2808.51, "word": " ال", "probability": 0.2137451171875}, {"start": 2808.51, "end": 2808.93, "word": " signum", "probability": 0.881591796875}, {"start": 2808.93, "end": 2809.49, "word": " function", "probability": 0.97607421875}, {"start": 2809.49, "end": 2812.45, "word": " where", "probability": 0.9169921875}], "temperature": 1.0}, {"id": 108, "seek": 283336, "start": 2817.58, "end": 2833.36, "text": "where signum x هي عبارة عن function في x بنعرفها على أنها واحد إذا كان x أكبر من سفر سفر إذا كان x بساول سفر سالب واحد إذا كان x أصغر من سفر وهي الرسمة تبعتها", "tokens": [86, 511, 68, 1465, 449, 2031, 39896, 6225, 3555, 9640, 3660, 18871, 2445, 8978, 2031, 44945, 3615, 28480, 11296, 15844, 14739, 11296, 36764, 24401, 11933, 15730, 25961, 2031, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 8608, 5172, 2288, 11933, 15730, 25961, 2031, 4724, 3794, 995, 12610, 8608, 5172, 2288, 8608, 6027, 3555, 36764, 24401, 11933, 15730, 25961, 2031, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 37037, 1829, 34892, 38251, 3660, 6055, 3555, 34268, 11296], "avg_logprob": -0.2473273167484685, "compression_ratio": 1.6474358974358974, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2817.5800000000004, "end": 2818.28, "word": "where", "probability": 0.5393269856770834}, {"start": 2818.28, "end": 2818.94, "word": " signum", "probability": 0.54205322265625}, {"start": 2818.94, "end": 2819.28, "word": " x", "probability": 0.69970703125}, {"start": 2819.28, "end": 2819.54, "word": " هي", "probability": 0.65478515625}, {"start": 2819.54, "end": 2819.88, "word": " عبارة", "probability": 0.9229736328125}, {"start": 2819.88, "end": 2820.04, "word": " عن", "probability": 0.998046875}, {"start": 2820.04, "end": 2820.46, "word": " function", "probability": 0.79296875}, {"start": 2820.46, "end": 2820.76, "word": " في", "probability": 0.81298828125}, {"start": 2820.76, "end": 2821.08, "word": " x", "probability": 0.76708984375}, {"start": 2821.08, "end": 2822.46, "word": " بنعرفها", "probability": 0.766204833984375}, {"start": 2822.46, "end": 2822.58, "word": " على", "probability": 0.5947265625}, {"start": 2822.58, "end": 2822.82, "word": " أنها", "probability": 0.73046875}, {"start": 2822.82, "end": 2823.24, "word": " واحد", "probability": 0.906982421875}, {"start": 2823.24, "end": 2823.44, "word": " إذا", "probability": 0.780029296875}, {"start": 2823.44, "end": 2823.74, "word": " كان", "probability": 0.99169921875}, {"start": 2823.74, "end": 2824.04, "word": " x", "probability": 0.92431640625}, {"start": 2824.04, "end": 2824.42, "word": " أكبر", "probability": 0.95068359375}, {"start": 2824.42, "end": 2824.6, "word": " من", "probability": 0.99365234375}, {"start": 2824.6, "end": 2824.96, "word": " سفر", "probability": 0.7242024739583334}, {"start": 2824.96, "end": 2825.5, "word": " سفر", "probability": 0.8391927083333334}, {"start": 2825.5, "end": 2826.48, "word": " إذا", "probability": 0.8388671875}, {"start": 2826.48, "end": 2826.78, "word": " كان", "probability": 0.99169921875}, {"start": 2826.78, "end": 2827.0, "word": " x", "probability": 0.9541015625}, {"start": 2827.0, "end": 2827.42, "word": " بساول", "probability": 0.5777587890625}, {"start": 2827.42, "end": 2827.94, "word": " سفر", "probability": 0.88720703125}, {"start": 2827.94, "end": 2828.52, "word": " سالب", "probability": 0.9230143229166666}, {"start": 2828.52, "end": 2829.06, "word": " واحد", "probability": 0.97265625}, {"start": 2829.06, "end": 2830.28, "word": " إذا", "probability": 0.910400390625}, {"start": 2830.28, "end": 2830.6, "word": " كان", "probability": 0.99462890625}, {"start": 2830.6, "end": 2830.9, "word": " x", "probability": 0.96826171875}, {"start": 2830.9, "end": 2831.38, "word": " أصغر", "probability": 0.9893798828125}, {"start": 2831.38, "end": 2831.54, "word": " من", "probability": 0.99560546875}, {"start": 2831.54, "end": 2831.98, "word": " سفر", "probability": 0.9825846354166666}, {"start": 2831.98, "end": 2832.3, "word": " وهي", "probability": 0.532958984375}, {"start": 2832.3, "end": 2832.82, "word": " الرسمة", "probability": 0.9269205729166666}, {"start": 2832.82, "end": 2833.36, "word": " تبعتها", "probability": 0.8223876953125}], "temperature": 1.0}, {"id": 109, "seek": 287212, "start": 2844.68, "end": 2872.12, "text": "فالدالة لما x أكبر من صفر بيستوي ثابت واحد عند الصفر بيستوي صفر و لما x أصغر من واحد بيستوي سالب واحد طيب note that لاحظوا أن الدالة هذه sigma of x بتساوي x على absolute x fx", "tokens": [5172, 6027, 3215, 6027, 3660, 5296, 15042, 2031, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 4724, 1829, 14851, 45865, 38637, 16758, 2655, 36764, 24401, 43242, 31767, 5172, 2288, 4724, 1829, 14851, 45865, 20328, 5172, 2288, 4032, 5296, 15042, 2031, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 4724, 1829, 14851, 45865, 8608, 6027, 3555, 36764, 24401, 23032, 1829, 3555, 3637, 300, 5296, 39319, 19913, 14407, 14739, 32748, 6027, 3660, 29538, 12771, 295, 2031, 39894, 3794, 995, 45865, 2031, 15844, 8236, 2031, 283, 87], "avg_logprob": -0.25922439328159197, "compression_ratio": 1.6726190476190477, "no_speech_prob": 0.0, "words": [{"start": 2844.68, "end": 2845.52, "word": "فالدالة", "probability": 0.67559814453125}, {"start": 2845.52, "end": 2845.74, "word": " لما", "probability": 0.706787109375}, {"start": 2845.74, "end": 2845.98, "word": " x", "probability": 0.480712890625}, {"start": 2845.98, "end": 2846.3, "word": " أكبر", "probability": 0.931640625}, {"start": 2846.3, "end": 2846.48, "word": " من", "probability": 0.9931640625}, {"start": 2846.48, "end": 2846.76, "word": " صفر", "probability": 0.7328287760416666}, {"start": 2846.76, "end": 2847.14, "word": " بيستوي", "probability": 0.47802734375}, {"start": 2847.14, "end": 2847.54, "word": " ثابت", "probability": 0.9847005208333334}, {"start": 2847.54, "end": 2848.0, "word": " واحد", "probability": 0.97607421875}, {"start": 2848.0, "end": 2848.92, "word": " عند", "probability": 0.88134765625}, {"start": 2848.92, "end": 2849.52, "word": " الصفر", "probability": 0.92236328125}, {"start": 2849.52, "end": 2850.18, "word": " بيستوي", "probability": 0.92431640625}, {"start": 2850.18, "end": 2850.76, "word": " صفر", "probability": 0.9212239583333334}, {"start": 2850.76, "end": 2851.8, "word": " و", "probability": 0.748046875}, {"start": 2851.8, "end": 2852.1, "word": " لما", "probability": 0.827392578125}, {"start": 2852.1, "end": 2852.34, "word": " x", "probability": 0.94970703125}, {"start": 2852.34, "end": 2852.78, "word": " أصغر", "probability": 0.979736328125}, {"start": 2852.78, "end": 2852.96, "word": " من", "probability": 0.99560546875}, {"start": 2852.96, "end": 2853.44, "word": " واحد", "probability": 0.993896484375}, {"start": 2853.44, "end": 2853.98, "word": " بيستوي", "probability": 0.9671630859375}, {"start": 2853.98, "end": 2854.4, "word": " سالب", "probability": 0.92529296875}, {"start": 2854.4, "end": 2854.78, "word": " واحد", "probability": 0.994140625}, {"start": 2854.78, "end": 2858.04, "word": " طيب", "probability": 0.93798828125}, {"start": 2858.04, "end": 2858.48, "word": " note", "probability": 0.681640625}, {"start": 2858.48, "end": 2859.04, "word": " that", "probability": 0.8779296875}, {"start": 2859.04, "end": 2860.24, "word": " لاحظوا", "probability": 0.6932373046875}, {"start": 2860.24, "end": 2862.24, "word": " أن", "probability": 0.41357421875}, {"start": 2862.24, "end": 2862.86, "word": " الدالة", "probability": 0.9853515625}, {"start": 2862.86, "end": 2863.3, "word": " هذه", "probability": 0.461669921875}, {"start": 2863.3, "end": 2863.72, "word": " sigma", "probability": 0.437255859375}, {"start": 2863.72, "end": 2863.94, "word": " of", "probability": 0.475341796875}, {"start": 2863.94, "end": 2864.34, "word": " x", "probability": 0.87744140625}, {"start": 2864.34, "end": 2868.36, "word": " بتساوي", "probability": 0.796142578125}, {"start": 2868.36, "end": 2868.82, "word": " x", "probability": 0.9501953125}, {"start": 2868.82, "end": 2869.08, "word": " على", "probability": 0.70068359375}, {"start": 2869.08, "end": 2869.6, "word": " absolute", "probability": 0.92236328125}, {"start": 2869.6, "end": 2870.38, "word": " x", "probability": 0.859375}, {"start": 2870.38, "end": 2872.12, "word": " fx", "probability": 0.33056640625}], "temperature": 1.0}, {"id": 110, "seek": 288220, "start": 2873.9, "end": 2882.2, "text": "لا تساوي سفر إذا كان x بساوي سفر فدالة sigma بها نفس x على absolute x", "tokens": [15040, 6055, 3794, 995, 45865, 8608, 5172, 2288, 11933, 15730, 25961, 2031, 4724, 3794, 995, 45865, 8608, 5172, 2288, 6156, 3215, 6027, 3660, 12771, 4724, 11296, 8717, 36178, 2031, 15844, 8236, 2031], "avg_logprob": -0.3527462121212121, "compression_ratio": 1.1382978723404256, "no_speech_prob": 0.0, "words": [{"start": 2873.9, "end": 2874.26, "word": "لا", "probability": 0.177978515625}, {"start": 2874.26, "end": 2875.12, "word": " تساوي", "probability": 0.9561767578125}, {"start": 2875.12, "end": 2875.68, "word": " سفر", "probability": 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"probability": 0.8388671875}, {"start": 2881.72, "end": 2882.2, "word": " x", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 111, "seek": 291134, "start": 2883.48, "end": 2911.34, "text": "نفس .. نفس الحاجة طيب الان اثبات ان ال limit لدالها جاند سفر مش موجودة طبعا في تفاضل ألف في برهان في تفاضل ألف بيقول ان هى الدالة لما X اولا سفر من اليمين ال limit لها واحد لما X اولا سفر من اليمين نهيتها سالب واحد ال limit من اليمين مستويش ال limit من اليسار اذا ال limit لدالها جاند سفر does not exist برهان", "tokens": [1863, 36178, 4386, 8717, 36178, 21542, 26108, 3660, 23032, 1829, 3555, 2423, 7649, 1975, 12984, 3555, 9307, 16472, 2423, 4948, 5296, 3215, 6027, 11296, 10874, 7649, 3215, 8608, 5172, 2288, 37893, 3714, 29245, 23328, 3660, 23032, 3555, 3615, 995, 8978, 6055, 5172, 46958, 1211, 5551, 46538, 8978, 4724, 2288, 3224, 7649, 8978, 6055, 5172, 46958, 1211, 5551, 46538, 4724, 1829, 39648, 16472, 8032, 7578, 32748, 6027, 3660, 5296, 15042, 1783, 1975, 12610, 995, 8608, 5172, 2288, 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برهان", "probability": 0.9732666015625}], "temperature": 1.0}, {"id": 112, "seek": 293141, "start": 2912.01, "end": 2931.41, "text": "accurate صحيح مية المية مافي مشكلة لكن لو بدنا نعطي برهان باستخدام ال divergence criterion فالبرهان هيكون كالتالي consider بدنا نجيب sequence xn", "tokens": [8476, 33144, 20328, 5016, 1829, 5016, 3714, 10632, 9673, 10632, 19446, 41185, 37893, 28820, 3660, 44381, 45164, 47525, 8315, 8717, 3615, 9566, 1829, 4724, 2288, 3224, 7649, 4724, 995, 14851, 9778, 3215, 10943, 2423, 47387, 46691, 6156, 6027, 26890, 3224, 7649, 39896, 30544, 9122, 6027, 2655, 6027, 1829, 1949, 47525, 8315, 8717, 7435, 1829, 3555, 8310, 2031, 77], "avg_logprob": -0.1490995798070552, "compression_ratio": 1.4076433121019107, "no_speech_prob": 0.0, "words": [{"start": 2912.01, "end": 2912.77, "word": "accurate", "probability": 0.6295166015625}, {"start": 2912.77, "end": 2913.69, "word": " صحيح", "probability": 0.947021484375}, {"start": 2913.69, "end": 2913.97, "word": " مية", 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