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+{"segments": [{"id": 1, "seek": 4361, "start": 23.23, "end": 43.61, "text": "بسم الله الرحمن الرحيم في الساعة هذه طبعا هيكون فيانا مناقشة نشوف ال section الأخيرة في chapter تلاتة نبدأ section تلاتة ستة فيانكم أي سؤال في section تلاتة ستة؟", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 21136, 995, 27884, 29538, 23032, 3555, 3615, 995, 39896, 30544, 8978, 7649, 995, 3714, 8315, 4587, 8592, 3660, 8717, 8592, 38688, 2423, 3541, 16247, 9778, 48923, 8978, 7187, 6055, 1211, 9307, 3660, 8717, 44510, 10721, 3541, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 8978, 7649, 24793, 36632, 8608, 33604, 6027, 8978, 3541, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 22807], "avg_logprob": -0.18034771084785461, "compression_ratio": 1.6625, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 23.23, "end": 24.07, "word": "بسم", "probability": 0.930908203125}, {"start": 24.07, "end": 24.31, "word": " الله", "probability": 0.97021484375}, {"start": 24.31, "end": 24.73, 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واحد إلى n و ال bk هادي أكبر من أو يساوي a واحد على k ال a واحد ثابت بالنسبة ل k ده تمليش على k فبطلّه برا هاي a واحد ضرب", "tokens": [28814, 8848, 1863, 23758, 6225, 3555, 9640, 3660, 18871, 2423, 479, 14641, 2408, 24976, 2638, 12771, 272, 77, 6024, 48506, 18871, 16254, 272, 74, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 8032, 47302, 28811, 9154, 350, 4724, 3794, 995, 45865, 36764, 24401, 30731, 297, 4032, 2423, 272, 74, 8032, 995, 16254, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 257, 36764, 24401, 15844, 350, 2423, 257, 36764, 24401, 38637, 16758, 2655, 20666, 1863, 35457, 3660, 5296, 350, 11778, 3224, 46811, 20292, 8592, 15844, 350, 6156, 3555, 9566, 1211, 11703, 3224, 4724, 23557, 8032, 47302, 257, 36764, 24401, 48812, 25513], "avg_logprob": -0.28837985147550266, "compression_ratio": 1.7211538461538463, "no_speech_prob": 0.0, "words": [{"start": 365.92, "end": 366.26, "word": "إذن", "probability": 0.4267985026041667}, {"start": 366.26, "end": 366.5, 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"probability": 0.92333984375}, {"start": 385.64, "end": 386.68, "word": " ال", "probability": 0.67529296875}, {"start": 386.68, "end": 386.86, "word": " a", "probability": 0.95068359375}, {"start": 386.86, "end": 387.26, "word": " واحد", "probability": 0.98828125}, {"start": 387.26, "end": 387.78, "word": " ثابت", "probability": 0.9954427083333334}, {"start": 387.78, "end": 388.34, "word": " بالنسبة", "probability": 0.949462890625}, {"start": 388.34, "end": 388.5, "word": " ل", "probability": 0.88427734375}, {"start": 388.5, "end": 388.78, "word": " k", "probability": 0.53125}, {"start": 388.78, "end": 388.94, "word": " ده", "probability": 0.645263671875}, {"start": 388.94, "end": 389.48, "word": " تمليش", "probability": 0.6328125}, {"start": 389.48, "end": 389.64, "word": " على", "probability": 0.888671875}, {"start": 389.64, "end": 390.02, "word": " k", "probability": 0.91015625}, {"start": 390.02, "end": 391.56, "word": " فبطلّه", "probability": 0.8276774088541666}, {"start": 391.56, "end": 391.94, "word": " برا", "probability": 0.935546875}, {"start": 391.94, "end": 392.34, "word": " هاي", "probability": 0.86279296875}, {"start": 392.34, "end": 392.58, "word": " a", "probability": 0.9560546875}, {"start": 392.58, "end": 393.04, "word": " واحد", "probability": 0.98583984375}, {"start": 393.04, "end": 393.5, "word": " ضرب", "probability": 0.720703125}], "temperature": 1.0}, {"id": 14, "seek": 42338, "start": 394.68, "end": 423.38, "text": "Summation من K بيسار واحد إلى N لواحد على K واحنا أثبتنا قبل هيك أنه ال sequence of partial sums لل harmonic series is unbounded في كان مثال سابق بيقول إنه", "tokens": [50, 40879, 399, 9154, 591, 4724, 1829, 3794, 9640, 36764, 24401, 30731, 426, 5296, 14407, 24401, 15844, 591, 4032, 39319, 8315, 5551, 12984, 3555, 2655, 8315, 12174, 36150, 39896, 4117, 14739, 3224, 2423, 8310, 295, 14641, 34499, 24976, 32270, 2638, 307, 517, 18767, 292, 8978, 25961, 50113, 6027, 8608, 16758, 4587, 4724, 1829, 39648, 36145, 3224], "avg_logprob": -0.3588267543859649, "compression_ratio": 1.2982456140350878, "no_speech_prob": 0.0, "words": [{"start": 394.68, "end": 395.6, "word": "Summation", "probability": 0.5724894205729166}, {"start": 395.6, "end": 395.92, "word": " من", "probability": 0.8408203125}, {"start": 395.92, "end": 396.3, "word": " K", "probability": 0.5810546875}, {"start": 396.3, "end": 396.86, "word": " بيسار", "probability": 0.443572998046875}, {"start": 396.86, "end": 397.44, "word": " واحد", "probability": 0.935302734375}, {"start": 397.44, "end": 397.66, "word": " إلى", "probability": 0.51953125}, {"start": 397.66, "end": 398.12, "word": " N", "probability": 0.50341796875}, {"start": 398.12, "end": 399.98, "word": " لواحد", "probability": 0.7403157552083334}, {"start": 399.98, "end": 400.22, "word": " على", "probability": 0.83642578125}, {"start": 400.22, "end": 400.66, "word": " K", "probability": 0.92724609375}, {"start": 400.66, "end": 404.4, "word": " واحنا", "probability": 0.6434733072916666}, {"start": 404.4, "end": 405.04, "word": " أثبتنا", "probability": 0.9673828125}, {"start": 405.04, "end": 405.46, "word": " قبل", "probability": 0.7054443359375}, {"start": 405.46, "end": 405.92, "word": " هيك", "probability": 0.8251953125}, {"start": 405.92, "end": 406.66, "word": " أنه", "probability": 0.4967041015625}, {"start": 406.66, "end": 408.24, "word": " ال", "probability": 0.69580078125}, {"start": 408.24, "end": 408.64, "word": " sequence", "probability": 0.82861328125}, {"start": 408.64, "end": 409.0, "word": " of", "probability": 0.8544921875}, {"start": 409.0, "end": 409.46, "word": " partial", "probability": 0.92724609375}, {"start": 409.46, "end": 409.92, "word": " sums", "probability": 0.9794921875}, {"start": 409.92, "end": 410.14, "word": " لل", "probability": 0.69091796875}, {"start": 410.14, "end": 410.58, "word": " harmonic", "probability": 0.82666015625}, {"start": 410.58, "end": 411.18, "word": " series", "probability": 0.89453125}, {"start": 411.18, "end": 411.44, "word": " is", "probability": 0.9140625}, {"start": 411.44, "end": 417.62, "word": " unbounded", "probability": 0.9300130208333334}, {"start": 417.62, "end": 419.0, "word": " في", "probability": 0.177734375}, {"start": 419.0, "end": 419.46, "word": " كان", "probability": 0.96337890625}, {"start": 419.46, "end": 419.92, "word": " مثال", "probability": 0.973876953125}, {"start": 419.92, "end": 420.72, "word": " سابق", "probability": 0.8507486979166666}, {"start": 420.72, "end": 422.84, "word": " بيقول", "probability": 0.9212239583333334}, {"start": 422.84, "end": 423.38, "word": " إنه", "probability": 0.7117919921875}], "temperature": 1.0}, {"id": 15, "seek": 45535, "start": 427.39, "end": 455.35, "text": "إن الـ sequence هذه من n بساوي واحد to infinity is unbounded is unbounded حسب مثال سألت إذا لما أضربها ال sequence هذه لما أضرب حدودها أو أضربها في ثابت موجة تبقى unbounded", "tokens": [28814, 1863, 2423, 39184, 8310, 29538, 9154, 297, 4724, 3794, 995, 45865, 36764, 24401, 281, 13202, 307, 517, 18767, 292, 307, 517, 18767, 292, 11331, 35457, 50113, 6027, 8608, 10721, 1211, 2655, 11933, 15730, 5296, 15042, 5551, 11242, 25513, 11296, 2423, 8310, 29538, 5296, 15042, 5551, 11242, 25513, 11331, 3215, 23328, 11296, 34051, 5551, 11242, 25513, 11296, 8978, 38637, 16758, 2655, 3714, 29245, 3660, 6055, 3555, 4587, 7578, 517, 18767, 292], "avg_logprob": -0.2897135338021649, "compression_ratio": 1.5776397515527951, "no_speech_prob": 0.0, "words": [{"start": 427.39, "end": 427.73, "word": "إن", "probability": 0.52947998046875}, {"start": 427.73, "end": 427.95, "word": " الـ", "probability": 0.437255859375}, {"start": 427.95, "end": 428.49, "word": " sequence", "probability": 0.71484375}, {"start": 428.49, "end": 429.07, "word": " هذه", "probability": 0.72607421875}, {"start": 429.07, "end": 431.17, "word": " من", "probability": 0.7919921875}, {"start": 431.17, "end": 431.47, "word": " n", "probability": 0.401123046875}, {"start": 431.47, "end": 432.17, "word": " بساوي", "probability": 0.711181640625}, {"start": 432.17, "end": 432.73, "word": " واحد", "probability": 0.937744140625}, {"start": 432.73, "end": 432.87, "word": " to", "probability": 0.235107421875}, {"start": 432.87, "end": 433.45, "word": " infinity", "probability": 0.849609375}, {"start": 433.45, "end": 434.97, "word": " is", "probability": 0.74755859375}, {"start": 434.97, "end": 438.59, "word": " unbounded", "probability": 0.9488932291666666}, {"start": 438.59, "end": 439.07, "word": " is", "probability": 0.141845703125}, {"start": 439.07, "end": 441.27, "word": " unbounded", "probability": 0.9627278645833334}, {"start": 441.27, "end": 445.01, "word": " حسب", "probability": 0.91064453125}, {"start": 445.01, "end": 445.43, "word": " مثال", "probability": 0.966796875}, {"start": 445.43, "end": 446.93, "word": " سألت", "probability": 0.539642333984375}, {"start": 446.93, "end": 447.25, "word": " إذا", "probability": 0.3809814453125}, {"start": 447.25, "end": 447.45, "word": " لما", "probability": 0.856689453125}, {"start": 447.45, "end": 448.01, "word": " أضربها", "probability": 0.9049072265625}, {"start": 448.01, "end": 448.75, "word": " ال", "probability": 0.79541015625}, {"start": 448.75, "end": 449.09, "word": " sequence", "probability": 0.74853515625}, {"start": 449.09, "end": 449.67, "word": " هذه", "probability": 0.8603515625}, {"start": 449.67, "end": 450.63, "word": " لما", "probability": 0.9072265625}, {"start": 450.63, "end": 451.03, "word": " أضرب", "probability": 0.9650065104166666}, {"start": 451.03, "end": 451.83, "word": " حدودها", "probability": 0.99462890625}, {"start": 451.83, "end": 452.79, "word": " أو", "probability": 0.477294921875}, {"start": 452.79, "end": 453.13, "word": " أضربها", "probability": 0.9593505859375}, {"start": 453.13, "end": 453.31, "word": " في", "probability": 0.90869140625}, {"start": 453.31, "end": 453.75, "word": " ثابت", "probability": 0.99169921875}, {"start": 453.75, "end": 454.19, "word": " موجة", "probability": 0.9412434895833334}, {"start": 454.19, "end": 454.55, "word": " تبقى", "probability": 0.729736328125}, {"start": 454.55, "end": 455.35, "word": " unbounded", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 16, "seek": 48685, "start": 459.07, "end": 486.85, "text": "وبالتالي إذا SM هذا بيقدي ان ال sequence SM is unbounded therefore ال limit ل SM لما انتقل ل infinity does not exist", "tokens": [37746, 6027, 2655, 6027, 1829, 11933, 15730, 13115, 23758, 4724, 1829, 4587, 16254, 16472, 2423, 8310, 13115, 307, 517, 18767, 292, 4412, 2423, 4948, 5296, 13115, 5296, 15042, 16472, 2655, 4587, 1211, 5296, 13202, 775, 406, 2514], "avg_logprob": -0.46546053180569097, "compression_ratio": 1.188976377952756, "no_speech_prob": 0.0, "words": [{"start": 459.07, "end": 460.23, "word": "وبالتالي", "probability": 0.880517578125}, {"start": 460.23, "end": 460.51, "word": " إذا", "probability": 0.53179931640625}, {"start": 460.51, "end": 461.19, "word": " SM", "probability": 0.07830810546875}, {"start": 461.19, "end": 462.71, "word": " هذا", "probability": 0.56640625}, {"start": 462.71, "end": 463.31, "word": " بيقدي", "probability": 0.7235107421875}, {"start": 463.31, "end": 463.61, "word": " ان", "probability": 0.477294921875}, {"start": 463.61, "end": 463.93, "word": " ال", "probability": 0.4501953125}, {"start": 463.93, "end": 464.53, "word": " sequence", "probability": 0.83203125}, {"start": 464.53, "end": 465.31, "word": " SM", "probability": 0.8232421875}, {"start": 465.31, "end": 468.77, "word": " is", "probability": 0.89794921875}, {"start": 468.77, "end": 472.61, "word": " unbounded", "probability": 0.9422200520833334}, {"start": 472.61, "end": 474.83, "word": " therefore", "probability": 0.324951171875}, {"start": 474.83, "end": 479.87, "word": " ال", "probability": 0.5859375}, {"start": 479.87, "end": 480.29, "word": " limit", "probability": 0.9541015625}, {"start": 480.29, "end": 481.89, "word": " ل", "probability": 0.95556640625}, {"start": 481.89, "end": 482.51, "word": " SM", "probability": 0.5888671875}, {"start": 482.51, "end": 482.87, "word": " لما", "probability": 0.3265380859375}, {"start": 482.87, "end": 483.51, "word": " انتقل", "probability": 0.63372802734375}, {"start": 483.51, "end": 483.65, "word": " ل", "probability": 0.72705078125}, {"start": 483.65, "end": 484.19, "word": " infinity", "probability": 0.71484375}, {"start": 484.19, "end": 486.09, "word": " does", "probability": 0.50048828125}, {"start": 486.09, "end": 486.33, "word": " not", "probability": 0.9619140625}, {"start": 486.33, "end": 486.85, "word": " exist", "probability": 0.953125}], "temperature": 1.0}, {"id": 17, "seek": 51573, "start": 488.55, "end": 515.73, "text": "and therefore the series sigma dn diverges لان احنا قلنا قبلك ان اي infinite series بتكون convergent if and only if the sequence of partial sums is convergent لان هذا هو الحل okay تمام في أي أسئلة تانية في section تلاتة سبعة", "tokens": [474, 4412, 264, 2638, 12771, 274, 77, 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"end": 494.39, "word": " diverges", "probability": 0.788330078125}, {"start": 494.39, "end": 496.33, "word": " لان", "probability": 0.3184814453125}, {"start": 496.33, "end": 496.51, "word": " احنا", "probability": 0.83984375}, {"start": 496.51, "end": 496.77, "word": " قلنا", "probability": 0.9013671875}, {"start": 496.77, "end": 497.25, "word": " قبلك", "probability": 0.7548014322916666}, {"start": 497.25, "end": 497.43, "word": " ان", "probability": 0.7880859375}, {"start": 497.43, "end": 498.13, "word": " اي", "probability": 0.5721435546875}, {"start": 498.13, "end": 498.45, "word": " infinite", "probability": 0.468505859375}, {"start": 498.45, "end": 498.83, "word": " series", "probability": 0.8916015625}, {"start": 498.83, "end": 499.17, "word": " بتكون", "probability": 0.9521484375}, {"start": 499.17, "end": 499.97, "word": " convergent", "probability": 0.853759765625}, {"start": 499.97, "end": 501.01, "word": " if", "probability": 0.720703125}, {"start": 501.01, "end": 501.23, "word": " and", "probability": 0.83642578125}, {"start": 501.23, "end": 501.55, "word": " only", "probability": 0.92822265625}, {"start": 501.55, "end": 501.97, "word": " if", "probability": 0.96728515625}, {"start": 501.97, "end": 502.95, "word": " the", "probability": 0.77978515625}, {"start": 502.95, "end": 503.45, "word": " sequence", "probability": 0.9541015625}, {"start": 503.45, "end": 503.67, "word": " of", "probability": 0.97265625}, {"start": 503.67, "end": 504.01, "word": " partial", "probability": 0.93603515625}, {"start": 504.01, "end": 504.37, "word": " sums", "probability": 0.96630859375}, {"start": 504.37, "end": 504.57, "word": " is", "probability": 0.90673828125}, {"start": 504.57, "end": 505.25, "word": " convergent", "probability": 0.983154296875}, {"start": 505.25, "end": 507.09, "word": " لان", "probability": 0.800537109375}, {"start": 507.09, "end": 507.35, "word": " هذا", "probability": 0.720703125}, {"start": 507.35, "end": 507.65, "word": " هو", "probability": 0.98974609375}, {"start": 507.65, "end": 508.33, "word": " الحل", "probability": 0.96728515625}, {"start": 508.33, "end": 508.89, "word": " okay", "probability": 0.248779296875}, {"start": 508.89, "end": 509.69, "word": " تمام", "probability": 0.946044921875}, {"start": 509.69, "end": 512.87, "word": " في", "probability": 0.441162109375}, {"start": 512.87, "end": 513.07, "word": " أي", "probability": 0.38427734375}, {"start": 513.07, "end": 513.47, "word": " أسئلة", "probability": 0.885986328125}, {"start": 513.47, "end": 514.03, "word": " تانية", "probability": 0.9959309895833334}, {"start": 514.03, "end": 514.41, "word": " في", "probability": 0.8349609375}, {"start": 514.41, "end": 514.83, "word": " section", "probability": 0.79296875}, {"start": 514.83, "end": 515.33, "word": " تلاتة", "probability": 0.9027099609375}, {"start": 515.33, "end": 515.73, "word": " سبعة", "probability": 0.9195963541666666}], "temperature": 1.0}, {"id": 18, "seek": 55436, "start": 533.34, "end": 554.36, "text": "مفهوم الحل؟ في أسئلة تانية في ال section هذا أو أي section سابق؟ فسؤال سبعة هذا المماثل بيشبه مثال تلاتة سبعة ستة", "tokens": [2304, 5172, 3224, 20498, 21542, 1211, 22807, 8978, 5551, 3794, 19986, 37977, 6055, 7649, 10632, 8978, 2423, 3541, 23758, 34051, 36632, 3541, 8608, 16758, 4587, 22807, 6156, 3794, 33604, 6027, 8608, 3555, 27884, 23758, 9673, 2304, 5718, 104, 1211, 4724, 1829, 8592, 3555, 3224, 50113, 6027, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 8608, 2655, 3660], "avg_logprob": -0.19983553258996262, "compression_ratio": 1.446969696969697, "no_speech_prob": 0.0, "words": [{"start": 533.34, "end": 534.22, "word": "مفهوم", "probability": 0.9595947265625}, {"start": 534.22, "end": 535.1, "word": " الحل؟", "probability": 0.8924153645833334}, {"start": 535.1, "end": 538.32, "word": " في", "probability": 0.74169921875}, {"start": 538.32, "end": 538.74, "word": " أسئلة", "probability": 0.8824462890625}, {"start": 538.74, "end": 539.22, "word": " تانية", "probability": 0.99609375}, {"start": 539.22, "end": 539.42, "word": " في", "probability": 0.91015625}, {"start": 539.42, "end": 539.52, "word": " ال", "probability": 0.794921875}, {"start": 539.52, "end": 539.84, "word": " section", "probability": 0.927734375}, {"start": 539.84, "end": 540.22, "word": " هذا", "probability": 0.42626953125}, {"start": 540.22, "end": 540.58, "word": " أو", "probability": 0.767578125}, {"start": 540.58, "end": 540.78, "word": " أي", "probability": 0.58251953125}, {"start": 540.78, "end": 541.2, "word": " section", "probability": 0.8896484375}, {"start": 541.2, "end": 543.8, "word": " سابق؟", "probability": 0.8787841796875}, {"start": 543.8, "end": 544.22, "word": " فسؤال", "probability": 0.67156982421875}, {"start": 544.22, "end": 544.62, "word": " سبعة", "probability": 0.83447265625}, {"start": 544.62, "end": 551.18, "word": " هذا", "probability": 0.8623046875}, {"start": 551.18, "end": 552.06, "word": " المماثل", "probability": 0.8349609375}, {"start": 552.06, "end": 552.66, "word": " بيشبه", "probability": 0.8447265625}, {"start": 552.66, "end": 553.12, "word": " مثال", "probability": 0.67333984375}, {"start": 553.12, "end": 553.58, "word": " تلاتة", "probability": 0.841796875}, {"start": 553.58, "end": 553.88, "word": " سبعة", "probability": 0.857421875}, {"start": 553.88, "end": 554.36, "word": " ستة", "probability": 0.9544270833333334}], "temperature": 1.0}, {"id": 19, "seek": 57716, "start": 555.15, "end": 577.17, "text": "فاقرأي المثال حاولي تطبقي نفس الطريقة مشروحليك مثال فحاولي اتجلدي المثال في اي اسئلة تانية؟ مان لديها سؤال؟", "tokens": [5172, 995, 4587, 2288, 10721, 1829, 9673, 12984, 6027, 11331, 995, 12610, 1829, 6055, 9566, 3555, 38436, 8717, 36178, 41950, 16572, 28671, 37893, 32887, 5016, 20292, 4117, 50113, 6027, 6156, 5016, 995, 12610, 1829, 1975, 2655, 7435, 1211, 16254, 9673, 12984, 6027, 8978, 1975, 1829, 24525, 19986, 37977, 6055, 7649, 10632, 22807, 3714, 7649, 5296, 16254, 11296, 8608, 33604, 6027, 22807], "avg_logprob": -0.2384072597469053, "compression_ratio": 1.6147540983606556, "no_speech_prob": 0.0, "words": [{"start": 555.15, "end": 555.75, "word": "فاقرأي", "probability": 0.69140625}, {"start": 555.75, "end": 556.21, "word": " المثال", "probability": 0.9763997395833334}, {"start": 556.21, "end": 556.85, "word": " حاولي", "probability": 0.86328125}, {"start": 556.85, "end": 557.85, "word": " تطبقي", "probability": 0.65576171875}, {"start": 557.85, "end": 558.97, "word": " نفس", "probability": 0.9873046875}, {"start": 558.97, "end": 559.59, "word": " الطريقة", "probability": 0.9876302083333334}, {"start": 559.59, "end": 560.31, "word": " مشروحليك", "probability": 0.5947509765625}, {"start": 560.31, "end": 560.75, "word": " مثال", "probability": 0.984130859375}, {"start": 560.75, "end": 562.33, "word": " فحاولي", "probability": 0.94287109375}, {"start": 562.33, "end": 562.71, "word": " اتجلدي", "probability": 0.8369140625}, {"start": 562.71, "end": 563.47, "word": " المثال", "probability": 0.9871419270833334}, {"start": 563.47, "end": 564.95, "word": " في", "probability": 0.6748046875}, {"start": 564.95, "end": 565.09, "word": " اي", "probability": 0.752685546875}, {"start": 565.09, "end": 565.45, "word": " اسئلة", "probability": 0.7772623697916666}, {"start": 565.45, "end": 568.71, "word": " تانية؟", "probability": 0.9117431640625}, {"start": 568.71, "end": 575.95, "word": " مان", "probability": 0.73974609375}, {"start": 575.95, "end": 576.43, "word": " لديها", "probability": 0.9423828125}, {"start": 576.43, "end": 577.17, "word": " سؤال؟", "probability": 0.96484375}], "temperature": 1.0}, {"id": 20, "seek": 62139, "start": 596.85, "end": 621.39, "text": "في عندكم أسرة طيب لما تفكروا في أسرة بدي أنا بارهنكم koshi condensation set test لأن هذا في عليه أسرة ومهم", "tokens": [41185, 43242, 24793, 5551, 3794, 25720, 23032, 1829, 3555, 5296, 15042, 6055, 5172, 37983, 14407, 8978, 5551, 3794, 25720, 4724, 16254, 41850, 4724, 9640, 3224, 1863, 24793, 350, 17392, 2224, 35292, 992, 1500, 5296, 33456, 23758, 8978, 47356, 5551, 3794, 25720, 4032, 2304, 16095], "avg_logprob": -0.2944444550408257, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 596.85, "end": 597.09, "word": "في", "probability": 0.53857421875}, {"start": 597.09, "end": 597.67, "word": " عندكم", "probability": 0.934814453125}, {"start": 597.67, "end": 598.25, "word": " أسرة", "probability": 0.705322265625}, {"start": 598.25, "end": 611.85, "word": " طيب", "probability": 0.9239908854166666}, {"start": 611.85, "end": 612.13, "word": " لما", "probability": 0.60211181640625}, {"start": 612.13, "end": 612.73, "word": " تفكروا", "probability": 0.9539794921875}, {"start": 612.73, "end": 612.81, "word": " في", "probability": 0.94970703125}, {"start": 612.81, "end": 613.23, "word": " أسرة", "probability": 0.982421875}, {"start": 613.23, "end": 613.53, "word": " بدي", "probability": 0.5499267578125}, {"start": 613.53, "end": 613.75, "word": " أنا", "probability": 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"سؤال اتماشي section تلاتة .. سابعة قوشيز condensation test", "tokens": [3794, 33604, 6027, 1975, 2655, 2304, 33599, 1829, 3541, 6055, 1211, 9307, 3660, 4386, 8608, 16758, 27884, 12174, 2407, 8592, 1829, 11622, 2224, 35292, 1500], "avg_logprob": -0.5012019322468684, "compression_ratio": 1.0121951219512195, "no_speech_prob": 0.0, "words": [{"start": 638.68, "end": 639.78, "word": "سؤال", "probability": 0.6831461588541666}, {"start": 639.78, "end": 641.3, "word": " اتماشي", "probability": 0.596484375}, {"start": 641.3, "end": 642.24, "word": " section", "probability": 0.319091796875}, {"start": 642.24, "end": 644.38, "word": " تلاتة", "probability": 0.8851318359375}, {"start": 644.38, "end": 644.52, "word": " ..", "probability": 0.347900390625}, {"start": 644.52, "end": 645.9, "word": " سابعة", "probability": 0.75927734375}, {"start": 645.9, "end": 656.66, "word": " قوشيز", "probability": 0.76435546875}, {"start": 656.66, "end": 660.76, "word": " condensation", "probability": 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1211, 11703, 9957, 995, 8717, 15040, 5016, 19913], "avg_logprob": -0.2947265565395355, "compression_ratio": 0.9642857142857143, "no_speech_prob": 0.0, "words": [{"start": 762.9300000000001, "end": 764.33, "word": "وهي", "probability": 0.5103759765625}, {"start": 764.33, "end": 765.17, "word": " البرهان", "probability": 0.883544921875}, {"start": 765.17, "end": 768.63, "word": " اولا", "probability": 0.748779296875}, {"start": 768.63, "end": 771.19, "word": " خلّينا", "probability": 0.74892578125}, {"start": 771.19, "end": 771.89, "word": " نلاحظ", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 25, "seek": 80083, "start": 773.11, "end": 800.83, "text": "note that لاحظي انه لو أخدت نص في summation من k بساوي zero to infinity ل two أُس k في a two to k هذا بيطلع بساوي نص", "tokens": [2247, 68, 300, 20193, 5016, 19913, 1829, 16472, 3224, 45164, 5551, 9778, 3215, 2655, 8717, 9381, 8978, 28811, 9154, 350, 4724, 3794, 995, 45865, 4018, 281, 13202, 5296, 732, 5551, 10859, 3794, 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0.490966796875}, {"start": 1056.01, "end": 1058.91, "word": " belonging", "probability": 0.393798828125}, {"start": 1058.91, "end": 1059.35, "word": " to", "probability": 0.98388671875}, {"start": 1059.35, "end": 1059.65, "word": " N", "probability": 0.52880859375}], "temperature": 1.0}, {"id": 35, "seek": 108568, "start": 1064.36, "end": 1085.68, "text": "بنسمي ال quality هذه واحد طيب now next", "tokens": [3555, 1863, 38251, 1829, 2423, 3125, 29538, 36764, 24401, 23032, 1829, 3555, 586, 958], "avg_logprob": -0.3888020952542623, "compression_ratio": 0.8333333333333334, "no_speech_prob": 0.0, "words": [{"start": 1064.36, "end": 1065.14, "word": "بنسمي", "probability": 0.675689697265625}, {"start": 1065.14, "end": 1065.3, "word": " ال", "probability": 0.8046875}, {"start": 1065.3, "end": 1065.8, "word": " quality", "probability": 0.466552734375}, {"start": 1065.8, "end": 1066.2, "word": " هذه", "probability": 0.69140625}, {"start": 1066.2, "end": 1066.78, "word": " واحد", "probability": 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{"start": 1093.91, "end": 1094.57, "word": " أكبر", "probability": 0.8595377604166666}, {"start": 1094.57, "end": 1094.81, "word": " من", "probability": 0.96337890625}, {"start": 1094.81, "end": 1095.05, "word": " أو", "probability": 0.8447265625}, {"start": 1095.05, "end": 1095.55, "word": " سوى", "probability": 0.7894694010416666}, {"start": 1095.55, "end": 1096.23, "word": " الواحد", "probability": 0.7906087239583334}, {"start": 1096.23, "end": 1097.93, "word": " choose", "probability": 0.350830078125}, {"start": 1097.93, "end": 1101.35, "word": " using", "probability": 0.89208984375}, {"start": 1101.35, "end": 1102.23, "word": " Archimedean", "probability": 0.9326171875}, {"start": 1102.23, "end": 1103.07, "word": " property", "probability": 0.93994140625}, {"start": 1103.07, "end": 1114.05, "word": " choose", "probability": 0.26416015625}, {"start": 1114.05, "end": 1115.39, "word": " k", "probability": 0.5078125}, {"start": 1115.39, "end": 1116.17, "word": " بحيث", "probability": 0.84765625}, {"start": 1116.17, "end": 1116.69, "word": " أنه", "probability": 0.776611328125}], "temperature": 1.0}, {"id": 37, "seek": 114249, "start": 1117.53, "end": 1142.49, "text": "two to K أكبر من M لأي عدد طبيعي ممكن ألاقي عدد طبيعي بحياتي two to K أكبر من M then ال summation from N equals zero to M", "tokens": [20534, 281, 591, 5551, 4117, 26890, 9154, 376, 5296, 10721, 1829, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 3714, 43020, 5551, 15040, 38436, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 4724, 5016, 1829, 9307, 1829, 732, 281, 591, 5551, 4117, 26890, 9154, 376, 550, 2423, 28811, 490, 426, 6915, 4018, 281, 376], "avg_logprob": -0.29540092990083516, "compression_ratio": 1.3852459016393444, "no_speech_prob": 0.0, "words": [{"start": 1117.53, "end": 1117.91, "word": "two", "probability": 0.04144287109375}, {"start": 1117.91, "end": 1118.27, "word": " to", "probability": 0.85107421875}, {"start": 1118.27, "end": 1118.75, "word": " K", "probability": 0.4306640625}, {"start": 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1128.49, "end": 1128.73, "word": " to", "probability": 0.966796875}, {"start": 1128.73, "end": 1128.97, "word": " K", "probability": 0.890625}, {"start": 1128.97, "end": 1129.47, "word": " أكبر", "probability": 0.9694010416666666}, {"start": 1129.47, "end": 1129.71, "word": " من", "probability": 0.9931640625}, {"start": 1129.71, "end": 1130.01, "word": " M", "probability": 0.984375}, {"start": 1130.01, "end": 1132.05, "word": " then", "probability": 0.278564453125}, {"start": 1132.05, "end": 1138.53, "word": " ال", "probability": 0.66845703125}, {"start": 1138.53, "end": 1139.15, "word": " summation", "probability": 0.6435546875}, {"start": 1139.15, "end": 1139.99, "word": " from", "probability": 0.845703125}, {"start": 1139.99, "end": 1140.57, "word": " N", "probability": 0.50390625}, {"start": 1140.57, "end": 1141.17, "word": " equals", "probability": 0.43701171875}, {"start": 1141.17, "end": 1141.73, "word": " zero", "probability": 0.69384765625}, {"start": 1141.73, "end": 1142.09, "word": " to", "probability": 0.966796875}, {"start": 1142.09, "end": 1142.49, "word": " M", "probability": 0.98193359375}], "temperature": 1.0}, {"id": 38, "seek": 117115, "start": 1143.87, "end": 1171.15, "text": "لان هذا بيطلع أصغر من a0 زائد a1 زائد a2 زائد a3 زائد a4 زائد a5 زائد a6 زائد a7 زائد a8", "tokens": [1211, 7649, 23758, 4724, 1829, 9566, 1211, 3615, 5551, 9381, 17082, 2288, 9154, 257, 15, 30767, 16373, 3215, 257, 16, 30767, 16373, 3215, 257, 17, 30767, 16373, 3215, 257, 18, 30767, 16373, 3215, 257, 19, 30767, 16373, 3215, 257, 20, 30767, 16373, 3215, 257, 21, 30767, 16373, 3215, 257, 22, 30767, 16373, 3215, 257, 23], "avg_logprob": -0.14620536406125342, "compression_ratio": 1.7125, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1143.87, "end": 1145.01, "word": "لان", "probability": 0.4478759765625}, {"start": 1145.01, "end": 1146.17, "word": " هذا", "probability": 0.80419921875}, {"start": 1146.17, "end": 1146.69, "word": " بيطلع", "probability": 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"probability": 0.9597981770833334}, {"start": 1165.53, "end": 1166.33, "word": " a5", "probability": 0.992919921875}, {"start": 1166.33, "end": 1167.11, "word": " زائد", "probability": 0.9724934895833334}, {"start": 1167.11, "end": 1167.93, "word": " a6", "probability": 0.995849609375}, {"start": 1167.93, "end": 1168.73, "word": " زائد", "probability": 0.9772135416666666}, {"start": 1168.73, "end": 1169.65, "word": " a7", "probability": 0.9970703125}, {"start": 1169.65, "end": 1170.41, "word": " زائد", "probability": 0.9842122395833334}, {"start": 1170.41, "end": 1171.15, "word": " a8", "probability": 0.98046875}], "temperature": 1.0}, {"id": 39, "seek": 120395, "start": 1175.39, "end": 1203.95, "text": "مع بعض زائد و هكذا إلى اتنين أسكت زائد اتنين أسكت زائد واحد زائد و هكذا إلى اتنين أسكت زائد واحد سالب واحد", "tokens": [2304, 3615, 45030, 11242, 30767, 16373, 3215, 4032, 8032, 4117, 15730, 30731, 1975, 2655, 1863, 9957, 5551, 3794, 4117, 2655, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 5551, 3794, 4117, 2655, 30767, 16373, 3215, 36764, 24401, 30767, 16373, 3215, 4032, 8032, 4117, 15730, 30731, 1975, 2655, 1863, 9957, 5551, 3794, 4117, 2655, 30767, 16373, 3215, 36764, 24401, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.10869295351088994, "compression_ratio": 2.2093023255813953, "no_speech_prob": 0.0, "words": [{"start": 1175.39, "end": 1175.83, "word": "مع", "probability": 0.884033203125}, {"start": 1175.83, "end": 1176.37, "word": " بعض", "probability": 0.99365234375}, {"start": 1176.37, "end": 1179.05, "word": " زائد", "probability": 0.7090657552083334}, {"start": 1179.05, "end": 1179.23, "word": " و", "probability": 0.61328125}, {"start": 1179.23, "end": 1179.97, "word": " هكذا", "probability": 0.8435872395833334}, {"start": 1179.97, "end": 1180.93, "word": " إلى", "probability": 0.64990234375}, {"start": 1180.93, "end": 1187.67, "word": " اتنين", "probability": 0.791015625}, {"start": 1187.67, "end": 1188.47, "word": " أسكت", "probability": 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زائد", "probability": 0.98095703125}, {"start": 1202.39, "end": 1202.93, "word": " واحد", "probability": 0.98974609375}, {"start": 1202.93, "end": 1203.53, "word": " سالب", "probability": 0.90625}, {"start": 1203.53, "end": 1203.95, "word": " واحد", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 40, "seek": 123578, "start": 1212.5, "end": 1235.78, "text": "أنا عند ال M هذا ال M أصغر من اتنين أس كي في آخر حد اللي هو AM هيكون أصغر من A رقم اتنين أس كي أو أصغر من أو ساوي اتنين رقم A أس اتنين كي زي واحد minus واحد", "tokens": [10721, 8315, 43242, 2423, 376, 23758, 2423, 376, 5551, 9381, 17082, 2288, 9154, 1975, 2655, 1863, 9957, 5551, 3794, 9122, 1829, 8978, 19753, 34740, 11331, 3215, 13672, 1829, 31439, 6475, 8032, 1829, 30544, 5551, 9381, 17082, 2288, 9154, 316, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 5551, 3794, 9122, 1829, 34051, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 1975, 2655, 1863, 9957, 12602, 4587, 2304, 316, 5551, 3794, 1975, 2655, 1863, 9957, 9122, 1829, 30767, 1829, 36764, 24401, 3175, 36764, 24401], "avg_logprob": -0.22228423044795081, "compression_ratio": 1.7755102040816326, "no_speech_prob": 0.0, "words": [{"start": 1212.5, "end": 1212.82, "word": "أنا", "probability": 0.6357421875}, {"start": 1212.82, "end": 1213.1, "word": " عند", "probability": 0.7646484375}, {"start": 1213.1, "end": 1213.32, "word": " ال", "probability": 0.8955078125}, {"start": 1213.32, "end": 1213.6, "word": " M", "probability": 0.298828125}, {"start": 1213.6, "end": 1214.08, "word": " هذا", "probability": 0.81689453125}, {"start": 1214.08, "end": 1214.38, "word": " ال", "probability": 0.6064453125}, {"start": 1214.38, "end": 1214.76, "word": " M", "probability": 0.91357421875}, {"start": 1214.76, "end": 1216.06, "word": " أصغر", "probability": 0.96826171875}, {"start": 1216.06, "end": 1216.26, "word": " من", "probability": 0.9951171875}, {"start": 1216.26, "end": 1216.7, "word": " اتنين", "probability": 0.857666015625}, {"start": 1216.7, "end": 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1494.87, "text": "by monotone convergence theorem السيريز هذي convergence ومجموعة بساول limit ل sequence of partial sums اللي هي أصغر من أو ساول عددها okay إذا نسمي المتباينة هذه اتنين إذا من المتباينة واحد واتنين", "tokens": [2322, 1108, 310, 546, 32181, 20904, 21136, 13546, 1829, 11622, 8032, 8848, 1829, 32181, 4032, 2304, 7435, 2304, 2407, 27884, 4724, 3794, 995, 12610, 4948, 5296, 8310, 295, 14641, 34499, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 12610, 6225, 3215, 3215, 11296, 1392, 11933, 15730, 8717, 38251, 1829, 9673, 2655, 3555, 995, 9957, 3660, 29538, 1975, 2655, 1863, 9957, 11933, 15730, 9154, 9673, 2655, 3555, 995, 9957, 3660, 36764, 24401, 4032, 9307, 1863, 9957], "avg_logprob": -0.25573576402060594, "compression_ratio": 1.5210526315789474, "no_speech_prob": 0.0, "words": [{"start": 1468.87, "end": 1469.19, "word": "by", "probability": 0.2020263671875}, {"start": 1469.19, "end": 1469.73, "word": " monotone", "probability": 0.79052734375}, {"start": 1469.73, "end": 1470.39, "word": " convergence", "probability": 0.93408203125}, {"start": 1470.39, "end": 1470.87, "word": " theorem", "probability": 0.896484375}, {"start": 1470.87, "end": 1474.29, "word": " السيريز", "probability": 0.71240234375}, {"start": 1474.29, "end": 1474.91, "word": " هذي", "probability": 0.6536458333333334}, {"start": 1474.91, "end": 1476.25, "word": " convergence", "probability": 0.380859375}, {"start": 1476.25, "end": 1477.95, "word": " ومجموعة", "probability": 0.9236653645833334}, {"start": 1477.95, "end": 1478.41, "word": " بساول", "probability": 0.6353759765625}, {"start": 1478.41, "end": 1478.75, "word": " limit", "probability": 0.75341796875}, {"start": 1478.75, "end": 1478.95, "word": " ل", "probability": 0.677734375}, {"start": 1478.95, "end": 1479.23, "word": " sequence", "probability": 0.252197265625}, {"start": 1479.23, "end": 1479.61, "word": " of", "probability": 0.93505859375}, {"start": 1479.61, "end": 1479.93, "word": " partial", "probability": 0.91845703125}, {"start": 1479.93, "end": 1480.33, "word": " sums", "probability": 0.97314453125}, {"start": 1480.33, "end": 1480.53, "word": " اللي", "probability": 0.779052734375}, {"start": 1480.53, "end": 1480.97, "word": " هي", "probability": 0.8046875}, {"start": 1480.97, "end": 1482.51, "word": " أصغر", "probability": 0.9478759765625}, {"start": 1482.51, "end": 1482.67, "word": " من", "probability": 0.90966796875}, {"start": 1482.67, "end": 1482.87, "word": " أو", "probability": 0.5126953125}, {"start": 1482.87, "end": 1483.27, "word": " ساول", "probability": 0.9055989583333334}, {"start": 1483.27, "end": 1483.87, "word": " عددها", "probability": 0.9385986328125}, {"start": 1483.87, "end": 1484.71, "word": " okay", "probability": 0.42626953125}, {"start": 1484.71, "end": 1485.77, "word": " إذا", "probability": 0.713623046875}, {"start": 1485.77, "end": 1486.83, "word": " نسمي", "probability": 0.8668619791666666}, {"start": 1486.83, "end": 1487.67, "word": " المتباينة", "probability": 0.9466145833333334}, {"start": 1487.67, "end": 1488.15, "word": " هذه", "probability": 0.4130859375}, {"start": 1488.15, "end": 1488.87, "word": " اتنين", "probability": 0.8319091796875}, {"start": 1488.87, "end": 1490.97, "word": " إذا", "probability": 0.630859375}, {"start": 1490.97, "end": 1491.71, "word": " من", "probability": 0.98828125}, {"start": 1491.71, "end": 1493.03, "word": " المتباينة", "probability": 0.98828125}, {"start": 1493.03, "end": 1494.17, "word": " واحد", "probability": 0.972900390625}, {"start": 1494.17, "end": 1494.87, "word": " واتنين", "probability": 0.837890625}], "temperature": 1.0}, {"id": 50, "seek": 152495, "start": 1511.87, "end": 1524.95, "text": "الان بمقارنة مباشرة الاختلافات المتباينات واحدة و اتنين بيقدوا", "tokens": [6027, 7649, 4724, 2304, 4587, 9640, 1863, 3660, 3714, 3555, 33599, 25720, 2423, 47283, 2655, 15040, 5172, 9307, 9673, 2655, 3555, 995, 9957, 9307, 36764, 24401, 3660, 4032, 1975, 2655, 1863, 9957, 4724, 1829, 28543, 14407], "avg_logprob": -0.506334485234441, "compression_ratio": 1.380952380952381, "no_speech_prob": 0.0, "words": [{"start": 1511.87, "end": 1513.27, "word": "الان", "probability": 0.656494140625}, {"start": 1513.27, "end": 1514.67, "word": " بمقارنة", "probability": 0.5627034505208334}, {"start": 1514.67, "end": 1514.67, "word": " مباشرة", "probability": 0.6322021484375}, {"start": 1514.67, "end": 1519.13, "word": " الاختلافات", "probability": 0.6164449055989584}, {"start": 1519.13, "end": 1521.33, "word": " المتباينات", "probability": 0.8240559895833334}, {"start": 1521.33, "end": 1522.03, "word": " واحدة", "probability": 0.6936848958333334}, {"start": 1522.03, "end": 1522.45, "word": " و", "probability": 0.74951171875}, {"start": 1522.45, "end": 1524.19, "word": " اتنين", "probability": 0.7679443359375}, {"start": 1524.19, "end": 1524.95, "word": " بيقدوا", "probability": 0.65521240234375}], "temperature": 1.0}, {"id": 51, "seek": 155578, "start": 1526.92, "end": 1555.78, "text": "السيريز sigma a n converges if and only if السيريز sigma اثنين اثنين a اثنين اثنين converges تعالى نشوف لو كانت السيريز هذه convergent فالسيريز هذه convergent", "tokens": [6027, 3794, 13546, 1829, 11622, 12771, 257, 297, 9652, 2880, 498, 293, 787, 498, 2423, 3794, 13546, 1829, 11622, 12771, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 257, 1975, 12984, 1863, 9957, 1975, 12984, 1863, 9957, 9652, 2880, 37279, 6027, 7578, 8717, 8592, 38688, 45164, 25961, 2655, 21136, 13546, 1829, 11622, 29538, 9652, 6930, 6156, 6027, 3794, 13546, 1829, 11622, 29538, 9652, 6930], "avg_logprob": -0.28870192307692305, "compression_ratio": 1.8688524590163935, "no_speech_prob": 0.0, "words": [{"start": 1526.9199999999998, "end": 1528.32, "word": "السيريز", "probability": 0.645556640625}, {"start": 1528.32, "end": 1529.72, "word": " sigma", "probability": 0.260986328125}, {"start": 1529.72, "end": 1530.14, "word": " a", "probability": 0.350341796875}, {"start": 1530.14, "end": 1530.64, "word": " n", "probability": 0.5537109375}, {"start": 1530.64, "end": 1531.98, "word": " converges", "probability": 0.60595703125}, {"start": 1531.98, "end": 1533.48, "word": " if", "probability": 0.51904296875}, {"start": 1533.48, "end": 1533.78, "word": " and", "probability": 0.92333984375}, {"start": 1533.78, "end": 1534.1, "word": " only", "probability": 0.896484375}, {"start": 1534.1, "end": 1534.54, "word": " if", "probability": 0.9814453125}, {"start": 1534.54, "end": 1536.16, "word": " السيريز", "probability": 0.824609375}, {"start": 1536.16, "end": 1536.78, "word": " sigma", "probability": 0.8642578125}, {"start": 1536.78, "end": 1538.92, "word": " اثنين", "probability": 0.7100830078125}, {"start": 1538.92, "end": 1539.72, "word": " اثنين", "probability": 0.61279296875}, {"start": 1539.72, "end": 1540.06, "word": " a", "probability": 0.658203125}, {"start": 1540.06, "end": 1540.76, "word": " اثنين", "probability": 0.9112548828125}, {"start": 1540.76, "end": 1542.26, "word": " اثنين", "probability": 0.9473876953125}, {"start": 1542.26, "end": 1544.18, "word": " converges", "probability": 0.6865234375}, {"start": 1544.18, "end": 1547.82, "word": " تعالى", "probability": 0.8474934895833334}, {"start": 1547.82, "end": 1548.22, "word": " نشوف", "probability": 0.9943033854166666}, {"start": 1548.22, "end": 1548.42, "word": " لو", "probability": 0.8203125}, {"start": 1548.42, "end": 1548.86, "word": " كانت", "probability": 0.973388671875}, {"start": 1548.86, "end": 1549.48, "word": " السيريز", "probability": 0.961181640625}, {"start": 1549.48, "end": 1549.78, "word": " هذه", "probability": 0.31005859375}, {"start": 1549.78, "end": 1550.6, "word": " convergent", "probability": 0.88134765625}, {"start": 1550.6, "end": 1554.68, "word": " فالسيريز", "probability": 0.9308268229166666}, {"start": 1554.68, "end": 1554.96, "word": " هذه", "probability": 0.80859375}, {"start": 1554.96, "end": 1555.78, "word": " convergent", "probability": 0.904296875}], "temperature": 1.0}, {"id": 52, "seek": 158444, "start": 1558.08, "end": 1584.44, "text": "وبالتالي طبعا أن هذا صحيح لكل M بالمناسبة بقدر أن هذه أيضا sequence of partial sums هذه ال limit تبعتها exist وبالتالي ال infinite series هذه إذا أن ال ممكن نقول أن هذا الكلام صحيح", "tokens": [37746, 6027, 2655, 6027, 1829, 23032, 3555, 3615, 995, 14739, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 376, 20666, 2304, 8315, 35457, 3660, 4724, 28543, 2288, 14739, 29538, 36632, 11242, 995, 8310, 295, 14641, 34499, 29538, 2423, 4948, 6055, 3555, 34268, 11296, 2514, 46599, 6027, 2655, 6027, 1829, 2423, 13785, 2638, 29538, 11933, 15730, 14739, 2423, 3714, 43020, 8717, 39648, 14739, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016], "avg_logprob": -0.27611606802259175, "compression_ratio": 1.5730337078651686, "no_speech_prob": 0.0, "words": [{"start": 1558.08, "end": 1558.84, "word": "وبالتالي", "probability": 0.836767578125}, {"start": 1558.84, "end": 1559.24, "word": " طبعا", "probability": 0.9171142578125}, {"start": 1559.24, "end": 1559.38, "word": " أن", "probability": 0.11846923828125}, {"start": 1559.38, "end": 1559.56, "word": " هذا", "probability": 0.90087890625}, {"start": 1559.56, "end": 1559.98, "word": " صحيح", "probability": 0.990478515625}, {"start": 1559.98, "end": 1560.52, "word": " لكل", "probability": 0.967041015625}, {"start": 1560.52, "end": 1560.78, "word": " M", "probability": 0.58349609375}, {"start": 1560.78, "end": 1562.6, "word": " بالمناسبة", "probability": 0.916015625}, {"start": 1562.6, "end": 1563.32, "word": " بقدر", "probability": 0.6993815104166666}, {"start": 1563.32, "end": 1563.5, "word": " أن", "probability": 0.383544921875}, {"start": 1563.5, "end": 1564.08, "word": " هذه", "probability": 0.64208984375}, {"start": 1564.08, "end": 1566.5, "word": " أيضا", "probability": 0.810546875}, {"start": 1566.5, "end": 1567.24, "word": " sequence", "probability": 0.30029296875}, {"start": 1567.24, "end": 1567.66, "word": " of", "probability": 0.9052734375}, {"start": 1567.66, "end": 1567.98, "word": " partial", "probability": 0.96826171875}, {"start": 1567.98, "end": 1568.36, "word": " sums", "probability": 0.935546875}, {"start": 1568.36, "end": 1568.58, "word": " هذه", "probability": 0.6533203125}, {"start": 1568.58, "end": 1568.68, "word": " ال", "probability": 0.33837890625}, {"start": 1568.68, "end": 1568.88, "word": " limit", "probability": 0.64013671875}, {"start": 1568.88, "end": 1569.58, "word": " تبعتها", "probability": 0.859619140625}, {"start": 1569.58, "end": 1570.24, "word": " exist", "probability": 0.69140625}, {"start": 1570.24, "end": 1571.36, "word": " وبالتالي", "probability": 0.8859375}, {"start": 1571.36, "end": 1571.64, "word": " ال", "probability": 0.8095703125}, {"start": 1571.64, "end": 1571.9, "word": " infinite", "probability": 0.399658203125}, {"start": 1571.9, "end": 1572.36, "word": " series", "probability": 0.9306640625}, {"start": 1572.36, "end": 1573.16, "word": " هذه", "probability": 0.8857421875}, {"start": 1573.16, "end": 1579.46, "word": " إذا", "probability": 0.5277099609375}, {"start": 1579.46, "end": 1579.76, "word": " أن", "probability": 0.5107421875}, {"start": 1579.76, "end": 1580.06, "word": " ال", "probability": 0.71533203125}, {"start": 1580.06, "end": 1582.78, "word": " ممكن", "probability": 0.7154541015625}, {"start": 1582.78, "end": 1583.08, "word": " نقول", "probability": 0.947509765625}, {"start": 1583.08, "end": 1583.24, "word": " أن", "probability": 0.57568359375}, {"start": 1583.24, "end": 1583.48, "word": " هذا", "probability": 0.96142578125}, {"start": 1583.48, "end": 1583.88, "word": " الكلام", "probability": 0.9075520833333334}, {"start": 1583.88, "end": 1584.44, "word": " صحيح", "probability": 0.9949951171875}], "temperature": 1.0}, {"id": 53, "seek": 160167, "start": 1585.69, "end": 1601.67, "text": "الان لو كانت ال series هادي convergent فنضربها في ثابت اتنين تطلع convergent وبالتالي ال series هادي convergent by direct comparison test العكس لو كانت ال series هادي convergent", "tokens": [6027, 7649, 45164, 25961, 2655, 2423, 2638, 8032, 995, 16254, 9652, 6930, 6156, 1863, 11242, 25513, 11296, 8978, 38637, 16758, 2655, 1975, 2655, 1863, 9957, 6055, 9566, 1211, 3615, 9652, 6930, 46599, 6027, 2655, 6027, 1829, 2423, 2638, 8032, 995, 16254, 9652, 6930, 538, 2047, 9660, 1500, 18863, 4117, 3794, 45164, 25961, 2655, 2423, 2638, 8032, 995, 16254, 9652, 6930], "avg_logprob": -0.1900614773640867, "compression_ratio": 1.7571428571428571, "no_speech_prob": 0.0, "words": [{"start": 1585.69, "end": 1586.53, "word": "الان", "probability": 0.6207275390625}, {"start": 1586.53, "end": 1586.73, "word": " لو", "probability": 0.8671875}, {"start": 1586.73, "end": 1587.11, "word": " كانت", "probability": 0.97314453125}, {"start": 1587.11, "end": 1587.25, "word": " ال", "probability": 0.78955078125}, {"start": 1587.25, "end": 1587.57, "word": " series", "probability": 0.83154296875}, {"start": 1587.57, "end": 1587.87, "word": " هادي", "probability": 0.720947265625}, {"start": 1587.87, "end": 1588.81, "word": " convergent", "probability": 0.692626953125}, {"start": 1588.81, "end": 1590.23, "word": " فنضربها", "probability": 0.6744140625}, {"start": 1590.23, "end": 1590.37, "word": " في", "probability": 0.77685546875}, {"start": 1590.37, "end": 1590.79, "word": " ثابت", "probability": 0.9899088541666666}, {"start": 1590.79, "end": 1591.05, "word": " اتنين", "probability": 0.8258056640625}, {"start": 1591.05, "end": 1591.43, "word": " تطلع", "probability": 0.93603515625}, {"start": 1591.43, "end": 1592.25, "word": " convergent", "probability": 0.766357421875}, {"start": 1592.25, "end": 1593.63, "word": " وبالتالي", "probability": 0.9142578125}, {"start": 1593.63, "end": 1593.77, "word": " ال", "probability": 0.92041015625}, {"start": 1593.77, "end": 1594.07, "word": " series", "probability": 0.94970703125}, {"start": 1594.07, "end": 1594.35, "word": " هادي", "probability": 0.9119466145833334}, {"start": 1594.35, "end": 1595.01, "word": " convergent", "probability": 0.856689453125}, {"start": 1595.01, "end": 1595.27, "word": " by", "probability": 0.8369140625}, {"start": 1595.27, "end": 1595.67, "word": " direct", "probability": 0.89599609375}, {"start": 1595.67, "end": 1596.23, "word": " comparison", "probability": 0.92626953125}, {"start": 1596.23, "end": 1596.77, "word": " test", "probability": 0.94580078125}, {"start": 1596.77, "end": 1598.17, "word": " العكس", "probability": 0.9080403645833334}, {"start": 1598.17, "end": 1598.91, "word": " لو", "probability": 0.79541015625}, {"start": 1598.91, "end": 1599.47, "word": " كانت", "probability": 0.9931640625}, {"start": 1599.47, "end": 1599.65, "word": " ال", "probability": 0.97412109375}, {"start": 1599.65, "end": 1600.17, "word": " series", "probability": 0.9521484375}, {"start": 1600.17, "end": 1600.87, "word": " هادي", "probability": 0.955078125}, {"start": 1600.87, "end": 1601.67, "word": " convergent", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 54, "seek": 163380, "start": 1604.46, "end": 1633.8, "text": "فلما أضفلها حد عدد موجب بيبقى conversion وبالتالي by direct comparison test ال series الأصغر بتطلع conversion okay تمام؟ لأن هذا بثبت koshi condensation test هذا ال test قوي كتير ويله فوائد كتيرة فمن الفوائد تبعته يعني هذه مثال", "tokens": [5172, 1211, 15042, 5551, 11242, 5172, 1211, 11296, 11331, 3215, 6225, 3215, 3215, 3714, 29245, 3555, 4724, 1829, 3555, 4587, 7578, 14298, 46599, 6027, 2655, 6027, 1829, 538, 2047, 9660, 1500, 2423, 2638, 16247, 9381, 17082, 2288, 39894, 9566, 1211, 3615, 14298, 1392, 46811, 10943, 22807, 5296, 33456, 23758, 4724, 12984, 3555, 2655, 350, 17392, 2224, 35292, 1500, 23758, 2423, 1500, 12174, 45865, 9122, 2655, 13546, 4032, 26895, 3224, 6156, 2407, 16373, 3215, 9122, 2655, 48923, 6156, 27842, 27188, 2407, 16373, 3215, 6055, 3555, 34268, 3224, 37495, 22653, 29538, 50113, 6027], "avg_logprob": -0.27972147743339126, "compression_ratio": 1.527027027027027, "no_speech_prob": 0.0, "words": 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"start": 1673.04, "end": 1701.68, "text": "تعملين تلتاش سيكشن تلاتة سبعة ايش بيقول هذا if if P أكبر من السفر is a real number discuss the convergence", "tokens": [2655, 25957, 1211, 9957, 6055, 1211, 2655, 33599, 8608, 1829, 4117, 8592, 1863, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 1975, 1829, 8592, 4724, 1829, 39648, 23758, 498, 498, 430, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 307, 257, 957, 1230, 2248, 264, 32181], "avg_logprob": -0.310416669315762, "compression_ratio": 1.16793893129771, "no_speech_prob": 0.0, "words": [{"start": 1673.04, "end": 1673.76, "word": "تعملين", "probability": 0.672454833984375}, {"start": 1673.76, "end": 1674.5, "word": " تلتاش", "probability": 0.72479248046875}, {"start": 1674.5, "end": 1675.06, "word": " سيكشن", "probability": 0.67041015625}, {"start": 1675.06, "end": 1675.68, "word": " تلاتة", "probability": 0.8145751953125}, {"start": 1675.68, "end": 1676.22, "word": " سبعة", "probability": 0.94189453125}, {"start": 1676.22, "end": 1678.54, 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0.8857421875}, {"start": 1824.82, "end": 1827.02, "word": " series", "probability": 0.93310546875}, {"start": 1827.02, "end": 1833.68, "word": " وبالتالي", "probability": 0.8724609375}, {"start": 1833.68, "end": 1834.88, "word": " مظبوط", "probability": 0.78896484375}, {"start": 1834.88, "end": 1835.96, "word": " هذا", "probability": 0.483154296875}, {"start": 1835.96, "end": 1836.24, "word": " عبارة", "probability": 0.85992431640625}, {"start": 1836.24, "end": 1836.42, "word": " عن", "probability": 0.990234375}, {"start": 1836.42, "end": 1836.8, "word": " geometric", "probability": 0.744140625}, {"start": 1836.8, "end": 1837.34, "word": " series", "probability": 0.92822265625}, {"start": 1837.34, "end": 1837.54, "word": " لو", "probability": 0.86328125}, {"start": 1837.54, "end": 1837.82, "word": " بدى", "probability": 0.56591796875}, {"start": 1837.82, "end": 1838.32, "word": " أكتب", "probability": 0.889892578125}, {"start": 1838.32, "end": 1839.92, "word": " حدود", "probability": 0.9420572916666666}, {"start": 1839.92, "end": 1840.62, "word": " تبعتها", "probability": 0.930419921875}], "temperature": 1.0}, {"id": 62, "seek": 186998, "start": 1843.1, "end": 1869.98, "text": "فاول حد عبارة عن اتنين اص واحد minus P الحد التاني اتنين اص واحد minus P الكل تربية و هكذا فالحد الاول اتنين اص واحد minus P الحد التاني اتنين اص واحد minus P و هكذا with ratio", "tokens": [5172, 995, 12610, 11331, 3215, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 1975, 9381, 36764, 24401, 3175, 430, 21542, 3215, 16712, 7649, 1829, 1975, 2655, 1863, 9957, 1975, 9381, 36764, 24401, 3175, 430, 2423, 28820, 6055, 25513, 10632, 4032, 8032, 4117, 15730, 6156, 6027, 24401, 42963, 12610, 1975, 2655, 1863, 9957, 1975, 9381, 36764, 24401, 3175, 430, 21542, 3215, 16712, 7649, 1829, 1975, 2655, 1863, 9957, 1975, 9381, 36764, 24401, 3175, 430, 4032, 8032, 4117, 15730, 365, 8509], "avg_logprob": -0.17746913580246915, "compression_ratio": 2.256, "no_speech_prob": 0.0, "words": [{"start": 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1854.1, "end": 1854.44, "word": " اص", "probability": 0.97314453125}, {"start": 1854.44, "end": 1854.84, "word": " واحد", "probability": 0.993896484375}, {"start": 1854.84, "end": 1855.24, "word": " minus", "probability": 0.9873046875}, {"start": 1855.24, "end": 1855.92, "word": " P", "probability": 0.9853515625}, {"start": 1855.92, "end": 1857.72, "word": " الكل", "probability": 0.5699462890625}, {"start": 1857.72, "end": 1858.4, "word": " تربية", "probability": 0.8349609375}, {"start": 1858.4, "end": 1859.16, "word": " و", "probability": 0.7412109375}, {"start": 1859.16, "end": 1859.76, "word": " هكذا", "probability": 0.783447265625}, {"start": 1859.76, "end": 1860.94, "word": " فالحد", "probability": 0.8219401041666666}, {"start": 1860.94, "end": 1861.38, "word": " الاول", "probability": 0.8291015625}, {"start": 1861.38, "end": 1861.82, "word": " اتنين", "probability": 0.985107421875}, {"start": 1861.82, "end": 1862.06, "word": " اص", "probability": 0.96875}, {"start": 1862.06, "end": 1862.36, "word": " واحد", "probability": 0.9951171875}, {"start": 1862.36, "end": 1862.7, "word": " minus", "probability": 0.99267578125}, {"start": 1862.7, "end": 1863.18, "word": " P", "probability": 0.9853515625}, {"start": 1863.18, "end": 1864.48, "word": " الحد", "probability": 0.947509765625}, {"start": 1864.48, "end": 1864.88, "word": " التاني", "probability": 0.98876953125}, {"start": 1864.88, "end": 1865.22, "word": " اتنين", "probability": 0.9910888671875}, {"start": 1865.22, "end": 1865.48, "word": " اص", "probability": 0.976318359375}, {"start": 1865.48, "end": 1865.74, "word": " واحد", "probability": 0.99755859375}, {"start": 1865.74, "end": 1866.12, "word": " minus", "probability": 0.99365234375}, {"start": 1866.12, "end": 1866.46, "word": " P", "probability": 0.98876953125}, {"start": 1866.46, "end": 1866.62, "word": " و", "probability": 0.8779296875}, {"start": 1866.62, "end": 1867.1, "word": " هكذا", "probability": 0.9475911458333334}, {"start": 1867.1, "end": 1868.4, "word": " with", "probability": 0.48486328125}, {"start": 1868.4, "end": 1869.98, "word": " ratio", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 63, "seek": 190179, "start": 1874.09, "end": 1901.79, "text": "with ratio with ratio R بساوي اتنين اص واحد minus P", "tokens": [11820, 8509, 365, 8509, 497, 4724, 3794, 995, 45865, 1975, 2655, 1863, 9957, 1975, 9381, 36764, 24401, 3175, 430], "avg_logprob": -0.2781249865889549, "compression_ratio": 1.0307692307692307, "no_speech_prob": 0.0, "words": [{"start": 1874.09, "end": 1875.49, "word": "with", "probability": 0.65625}, {"start": 1875.49, "end": 1876.89, "word": " ratio", "probability": 0.97265625}, {"start": 1876.89, "end": 1888.71, "word": " with", "probability": 0.58642578125}, {"start": 1888.71, "end": 1889.61, "word": " ratio", "probability": 0.98193359375}, {"start": 1889.61, "end": 1894.83, "word": " R", "probability": 0.296630859375}, {"start": 1894.83, "end": 1895.83, "word": " بساوي", "probability": 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1919.39, "end": 1919.75, "word": " if", "probability": 0.9619140625}, {"start": 1919.75, "end": 1920.47, "word": " absolute", "probability": 0.78564453125}, {"start": 1920.47, "end": 1921.35, "word": " R", "probability": 0.52001953125}, {"start": 1921.35, "end": 1922.45, "word": " بيساوي", "probability": 0.67493896484375}, {"start": 1922.45, "end": 1924.65, "word": " اتنين", "probability": 0.73956298828125}, {"start": 1924.65, "end": 1925.05, "word": " أس", "probability": 0.439453125}, {"start": 1925.05, "end": 1925.57, "word": " واحد", "probability": 0.956787109375}, {"start": 1925.57, "end": 1925.95, "word": " minus", "probability": 0.91845703125}, {"start": 1925.95, "end": 1926.45, "word": " P", "probability": 0.91845703125}, {"start": 1926.45, "end": 1928.55, "word": " أصغر", "probability": 0.9307861328125}, {"start": 1928.55, "end": 1928.75, "word": " من", "probability": 0.9951171875}, {"start": 1928.75, "end": 1929.23, "word": " واحد", "probability": 0.98388671875}, {"start": 1929.23, "end": 1932.11, "word": " وهذا", "probability": 0.7119140625}, {"start": 1932.11, "end": 1933.11, "word": " بتحقق", "probability": 0.81072998046875}, {"start": 1933.11, "end": 1934.57, "word": " اتنين", "probability": 0.9378662109375}, {"start": 1934.57, "end": 1934.85, "word": " أس", "probability": 0.911865234375}, {"start": 1934.85, "end": 1935.25, "word": " واحد", "probability": 0.985107421875}, {"start": 1935.25, "end": 1935.65, "word": " minus", "probability": 0.990234375}, {"start": 1935.65, "end": 1936.09, "word": " P", "probability": 0.984375}, {"start": 1936.09, "end": 1936.67, "word": " أصغر", "probability": 0.964111328125}, {"start": 1936.67, "end": 1936.83, "word": " من", "probability": 0.99658203125}, {"start": 1936.83, "end": 1937.29, "word": " واحد", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 65, "seek": 196275, "start": 1938.67, "end": 1962.75, "text": "فنقول if واحد minus P اذا كان واحد minus P أصغر من السفر سالم لأن لو كان واحد minus P موجب فاتنين أس أي عدد موجب عمره ما بيكون أصغر من واحد", "tokens": [5172, 1863, 39648, 498, 36764, 24401, 3175, 430, 1975, 15730, 25961, 36764, 24401, 3175, 430, 5551, 9381, 17082, 2288, 9154, 21136, 5172, 2288, 8608, 45340, 5296, 33456, 45164, 25961, 36764, 24401, 3175, 430, 3714, 29245, 3555, 6156, 9307, 1863, 9957, 5551, 3794, 36632, 6225, 3215, 3215, 3714, 29245, 3555, 6225, 29973, 3224, 19446, 4724, 1829, 30544, 5551, 9381, 17082, 2288, 9154, 36764, 24401], "avg_logprob": -0.23449707054533064, "compression_ratio": 1.6330935251798562, "no_speech_prob": 0.0, "words": [{"start": 1938.67, "end": 1939.53, "word": "فنقول", "probability": 0.6533203125}, {"start": 1939.53, "end": 1939.87, "word": " if", "probability": 0.11798095703125}, {"start": 1939.87, "end": 1940.49, "word": " واحد", "probability": 0.580078125}, {"start": 1940.49, "end": 1940.93, "word": " minus", "probability": 0.85546875}, {"start": 1940.93, "end": 1941.49, "word": " P", "probability": 0.6201171875}, {"start": 1941.49, 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0.858642578125}, {"start": 2073.65, "end": 2074.05, "word": " السؤال", "probability": 0.826904296875}, {"start": 2074.05, "end": 2074.85, "word": " 14", "probability": 0.34912109375}, {"start": 2074.85, "end": 2076.23, "word": " و15", "probability": 0.766845703125}, {"start": 2076.23, "end": 2077.13, "word": " صح؟", "probability": 0.9459635416666666}], "temperature": 1.0}, {"id": 70, "seek": 209817, "start": 2078.04, "end": 2098.18, "text": "ففي أي شيء في الأسئلة دي أو أسئلة تانية؟ في عندكم أي أسئلة؟", "tokens": [5172, 41185, 36632, 44049, 38207, 8978, 16247, 3794, 19986, 37977, 11778, 1829, 34051, 5551, 3794, 19986, 37977, 6055, 7649, 10632, 22807, 8978, 43242, 24793, 36632, 5551, 3794, 19986, 37977, 22807], "avg_logprob": -0.14629536578732152, "compression_ratio": 1.394736842105263, "no_speech_prob": 0.0, "words": [{"start": 2078.04, "end": 2078.54, "word": "ففي", "probability": 0.712646484375}, {"start": 2078.54, "end": 2078.78, "word": " أي", "probability": 0.78955078125}, {"start": 2078.78, "end": 2079.18, "word": " شيء", "probability": 0.90966796875}, {"start": 2079.18, "end": 2079.28, "word": " في", "probability": 0.9462890625}, {"start": 2079.28, "end": 2079.64, "word": " الأسئلة", "probability": 0.9814453125}, {"start": 2079.64, "end": 2080.28, "word": " دي", "probability": 0.60009765625}, {"start": 2080.28, "end": 2081.34, "word": " أو", "probability": 0.5703125}, {"start": 2081.34, "end": 2081.78, "word": " أسئلة", "probability": 0.9649658203125}, {"start": 2081.78, "end": 2087.16, "word": " تانية؟", "probability": 0.8970947265625}, {"start": 2087.16, "end": 2096.5, "word": " في", "probability": 0.56787109375}, {"start": 2096.5, "end": 2096.88, "word": " عندكم", "probability": 0.9541015625}, {"start": 2096.88, "end": 2097.18, "word": " أي", "probability": 0.8623046875}, {"start": 2097.18, "end": 2098.18, "word": " أسئلة؟", "probability": 0.9826171875}], "temperature": 1.0}, {"id": 71, "seek": 213556, "start": 2113.0, "end": 2135.56, "text": "إذا سيكشن واحد تلاتة سبعة في أي سؤال تاني عندكم في الأسئلة هذه أو السيكاشن السابقة أو سيكشن أربعة واحد إذا بتحبه سيكشن أربعة واحد", "tokens": [28814, 15730, 8608, 1829, 4117, 8592, 1863, 36764, 24401, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 8978, 36632, 8608, 33604, 6027, 6055, 7649, 1829, 43242, 24793, 8978, 16247, 3794, 19986, 37977, 29538, 34051, 21136, 1829, 4117, 33599, 1863, 21136, 16758, 28671, 34051, 8608, 1829, 4117, 8592, 1863, 5551, 25513, 27884, 36764, 24401, 11933, 15730, 39894, 5016, 3555, 3224, 8608, 1829, 4117, 8592, 1863, 5551, 25513, 27884, 36764, 24401], "avg_logprob": -0.21229620169902194, "compression_ratio": 1.8425196850393701, "no_speech_prob": 0.0, "words": [{"start": 2113.0, "end": 2113.44, "word": "إذا", "probability": 0.51287841796875}, {"start": 2113.44, "end": 2114.58, "word": " سيكشن", "probability": 0.68984375}, {"start": 2114.58, "end": 2115.5, "word": " واحد", "probability": 0.6873779296875}, {"start": 2115.5, "end": 2115.98, "word": " تلاتة", "probability": 0.8577880859375}, {"start": 2115.98, "end": 2116.36, "word": " سبعة", "probability": 0.82666015625}, {"start": 2116.36, "end": 2116.56, "word": " في", "probability": 0.410400390625}, {"start": 2116.56, "end": 2116.8, "word": " أي", "probability": 0.7578125}, {"start": 2116.8, "end": 2117.34, "word": " سؤال", "probability": 0.9755859375}, {"start": 2117.34, "end": 2118.9, "word": " تاني", "probability": 0.853515625}, {"start": 2118.9, "end": 2119.4, "word": " عندكم", "probability": 0.94580078125}, {"start": 2119.4, "end": 2119.56, "word": " في", "probability": 0.95263671875}, {"start": 2119.56, "end": 2119.98, "word": " الأسئلة", "probability": 0.786865234375}, {"start": 2119.98, "end": 2120.38, "word": " هذه", "probability": 0.78662109375}, {"start": 2120.38, "end": 2125.54, "word": " أو", "probability": 0.77734375}, {"start": 2125.54, "end": 2126.2, "word": " السيكاشن", "probability": 0.742578125}, {"start": 2126.2, "end": 2126.94, "word": " السابقة", "probability": 0.9596354166666666}, {"start": 2126.94, "end": 2128.72, "word": " أو", "probability": 0.859375}, {"start": 2128.72, "end": 2129.26, "word": " سيكشن", "probability": 0.975}, {"start": 2129.26, "end": 2129.68, "word": " أربعة", "probability": 0.7706705729166666}, {"start": 2129.68, "end": 2130.2, "word": " واحد", "probability": 0.94775390625}, {"start": 2130.2, "end": 2130.44, "word": " إذا", "probability": 0.88134765625}, {"start": 2130.44, "end": 2131.86, "word": " بتحبه", "probability": 0.8939208984375}, {"start": 2131.86, "end": 2134.74, "word": " سيكشن", "probability": 0.9798828125}, {"start": 2134.74, "end": 2135.1, "word": " أربعة", "probability": 0.9352213541666666}, {"start": 2135.1, "end": 2135.56, "word": " واحد", "probability": 0.988525390625}], "temperature": 1.0}, {"id": 72, "seek": 217748, "start": 2166.09, "end": 2177.49, "text": "مافيش أسئلة؟ طيب ال .. مدان مافيش أسئلة نواصل .. نكمل المحاضرة في السابقة", "tokens": [15042, 41185, 8592, 5551, 3794, 19986, 37977, 22807, 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"end": 2172.95, "word": " نواصل", "probability": 0.8997802734375}, {"start": 2172.95, "end": 2173.07, "word": " ..", "probability": 0.59912109375}, {"start": 2173.07, "end": 2176.19, "word": " نكمل", "probability": 0.99462890625}, {"start": 2176.19, "end": 2176.75, "word": " المحاضرة", "probability": 0.8189697265625}, {"start": 2176.75, "end": 2176.95, "word": " في", "probability": 0.4658203125}, {"start": 2176.95, "end": 2177.49, "word": " السابقة", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 73, "seek": 222767, "start": 2209.09, "end": 2227.67, "text": "المرة الأخرى اتحدثنا عن ال two-sided limits و عن ال one-sided limits و أخدنا بعض النظريات و قلنا إن جميع النظريات اللي برهنناها هو one-sided limit صحيحة لل two-sided limits", "tokens": [45340, 25720, 16247, 34740, 7578, 1975, 2655, 24401, 12984, 8315, 18871, 2423, 732, 12, 30941, 10406, 4032, 18871, 2423, 472, 12, 30941, 10406, 4032, 5551, 9778, 3215, 8315, 45030, 11242, 28239, 19913, 16572, 9307, 4032, 12174, 1211, 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"end": 2213.03, "word": " و", "probability": 0.97509765625}, {"start": 2213.03, "end": 2213.25, "word": " عن", "probability": 0.796875}, {"start": 2213.25, "end": 2213.47, "word": " ال", "probability": 0.99169921875}, {"start": 2213.47, "end": 2213.65, "word": " one", "probability": 0.96826171875}, {"start": 2213.65, "end": 2214.01, "word": "-sided", "probability": 0.9501953125}, {"start": 2214.01, "end": 2214.61, "word": " limits", "probability": 0.97802734375}, {"start": 2214.61, "end": 2215.93, "word": " و", "probability": 0.76025390625}, {"start": 2215.93, "end": 2216.65, "word": " أخدنا", "probability": 0.91455078125}, {"start": 2216.65, "end": 2217.01, "word": " بعض", "probability": 0.9873046875}, {"start": 2217.01, "end": 2217.85, "word": " النظريات", "probability": 0.97265625}, {"start": 2217.85, "end": 2219.81, "word": " و", "probability": 0.689453125}, {"start": 2219.81, "end": 2220.13, "word": " قلنا", "probability": 0.8375651041666666}, {"start": 2220.13, "end": 2220.35, 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"end": 2396.07, "word": " عندي", "probability": 0.94775390625}, {"start": 2396.07, "end": 2396.39, "word": " ال", "probability": 0.564453125}, {"start": 2396.39, "end": 2396.77, "word": " limit", "probability": 0.9833984375}, {"start": 2396.77, "end": 2397.47, "word": " او", "probability": 0.7080078125}, {"start": 2397.47, "end": 2397.61, "word": " ال", "probability": 0.736328125}, {"start": 2397.61, "end": 2397.79, "word": " two", "probability": 0.919921875}, {"start": 2397.79, "end": 2398.19, "word": " sided", "probability": 0.72900390625}, {"start": 2398.19, "end": 2398.65, "word": " limit", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 80, "seek": 242992, "start": 2400.4, "end": 2429.92, "text": "للـ signal function لما x تقول السفر does not exist تمام؟ طيب خلّيني انا اخد show that ال limit لل function e والواحد على x", "tokens": [1211, 1211, 39184, 6358, 2445, 5296, 15042, 2031, 6055, 39648, 21136, 5172, 2288, 775, 406, 2514, 46811, 10943, 22807, 23032, 1829, 3555, 16490, 1211, 11703, 9957, 1829, 1975, 8315, 1975, 9778, 3215, 855, 300, 2423, 4948, 24976, 2445, 308, 16070, 14407, 24401, 15844, 2031], "avg_logprob": -0.44270832273695204, "compression_ratio": 1.2112676056338028, "no_speech_prob": 0.0, "words": [{"start": 2400.4, "end": 2400.78, "word": "للـ", "probability": 0.5323079427083334}, {"start": 2400.78, "end": 2401.08, "word": " signal", "probability": 0.5146484375}, {"start": 2401.08, "end": 2401.72, "word": " function", "probability": 0.82373046875}, {"start": 2401.72, "end": 2402.08, "word": " لما", "probability": 0.72265625}, {"start": 2402.08, "end": 2402.32, "word": " x", "probability": 0.52685546875}, {"start": 2402.32, "end": 2402.64, "word": " تقول", "probability": 0.708984375}, {"start": 2402.64, "end": 2403.28, "word": " السفر", "probability": 0.7350260416666666}, {"start": 2403.28, "end": 2404.1, "word": " does", "probability": 0.168701171875}, {"start": 2404.1, "end": 2404.46, "word": " not", "probability": 0.96435546875}, {"start": 2404.46, "end": 2405.04, "word": " exist", "probability": 0.974609375}, {"start": 2405.04, "end": 2409.56, "word": " تمام؟", "probability": 0.577392578125}, {"start": 2409.56, "end": 2411.7, "word": " طيب", "probability": 0.88232421875}, {"start": 2411.7, "end": 2412.1, "word": " خلّيني", "probability": 0.7275390625}, {"start": 2412.1, "end": 2412.26, "word": " انا", "probability": 0.5521240234375}, {"start": 2412.26, "end": 2414.06, "word": " اخد", "probability": 0.8170572916666666}, {"start": 2414.06, "end": 2422.28, "word": " show", "probability": 0.87109375}, {"start": 2422.28, "end": 2423.0, "word": " that", "probability": 0.8955078125}, {"start": 2423.0, "end": 2427.38, "word": " ال", "probability": 0.64208984375}, {"start": 2427.38, "end": 2427.64, "word": " limit", "probability": 0.865234375}, {"start": 2427.64, "end": 2427.92, "word": " لل", "probability": 0.68017578125}, {"start": 2427.92, "end": 2428.38, "word": " function", "probability": 0.80419921875}, {"start": 2428.38, "end": 2428.78, "word": " e", "probability": 0.3173828125}, {"start": 2428.78, "end": 2429.3, "word": " والواحد", "probability": 0.508697509765625}, {"start": 2429.3, "end": 2429.52, "word": " على", "probability": 0.70361328125}, {"start": 2429.52, "end": 2429.92, "word": " x", "probability": 0.93359375}], "temperature": 1.0}, {"id": 81, "seek": 245871, "start": 2430.91, "end": 2458.71, "text": "لما x تقول إلى سفر من اليمين does not exist and من ال limit لنفس ال function e to واحد على x لما x تقول إلى سفر من اليسار تطلع موجودة و بساوي سفر", "tokens": [1211, 15042, 2031, 6055, 39648, 30731, 8608, 5172, 2288, 9154, 2423, 32640, 9957, 775, 406, 2514, 293, 9154, 2423, 4948, 5296, 1863, 36178, 2423, 2445, 308, 281, 36764, 24401, 15844, 2031, 5296, 15042, 2031, 6055, 39648, 30731, 8608, 5172, 2288, 9154, 45595, 3794, 9640, 6055, 9566, 1211, 3615, 3714, 29245, 23328, 3660, 4032, 4724, 3794, 995, 45865, 8608, 5172, 2288], "avg_logprob": -0.27049180914144044, "compression_ratio": 1.5273972602739727, "no_speech_prob": 0.0, "words": [{"start": 2430.91, "end": 2431.33, "word": "لما", "probability": 0.6593017578125}, {"start": 2431.33, "end": 2431.63, "word": " x", "probability": 0.57568359375}, {"start": 2431.63, "end": 2432.05, "word": " تقول", "probability": 0.825927734375}, {"start": 2432.05, "end": 2432.35, "word": " إلى", "probability": 0.44873046875}, {"start": 2432.35, "end": 2432.91, "word": " سفر", "probability": 0.7486165364583334}, {"start": 2432.91, "end": 2434.37, "word": " من", "probability": 0.84521484375}, {"start": 2434.37, "end": 2435.09, "word": " اليمين", "probability": 0.826171875}, {"start": 2435.09, "end": 2435.41, "word": " does", "probability": 0.13818359375}, {"start": 2435.41, "end": 2435.77, "word": " not", "probability": 0.9658203125}, {"start": 2435.77, "end": 2436.49, "word": " exist", "probability": 0.9658203125}, {"start": 2436.49, "end": 2440.55, "word": " and", "probability": 0.7099609375}, {"start": 2440.55, "end": 2443.91, "word": " من", "probability": 0.11248779296875}, {"start": 2443.91, "end": 2444.27, "word": " ال", "probability": 0.69921875}, {"start": 2444.27, "end": 2446.95, "word": " limit", "probability": 0.78857421875}, {"start": 2446.95, "end": 2447.75, "word": " لنفس", "probability": 0.7306315104166666}, {"start": 2447.75, "end": 2447.91, "word": " ال", "probability": 0.9619140625}, {"start": 2447.91, "end": 2448.33, "word": " function", "probability": 0.90869140625}, {"start": 2448.33, "end": 2448.63, "word": " e", "probability": 0.5126953125}, {"start": 2448.63, "end": 2448.83, "word": " to", "probability": 0.473388671875}, {"start": 2448.83, "end": 2449.23, "word": " واحد", "probability": 0.773681640625}, {"start": 2449.23, "end": 2449.41, "word": " على", "probability": 0.802734375}, {"start": 2449.41, "end": 2449.79, "word": " x", "probability": 0.953125}, {"start": 2449.79, "end": 2450.89, "word": " لما", "probability": 0.9609375}, {"start": 2450.89, "end": 2451.17, "word": " x", "probability": 0.970703125}, {"start": 2451.17, "end": 2451.45, "word": " تقول", "probability": 0.985107421875}, {"start": 2451.45, "end": 2451.69, "word": " إلى", "probability": 0.5078125}, {"start": 2451.69, "end": 2452.09, "word": " سفر", "probability": 0.9803059895833334}, {"start": 2452.09, "end": 2452.33, "word": " من", "probability": 0.98974609375}, {"start": 2452.33, "end": 2453.05, "word": " اليسار", "probability": 0.9923502604166666}, {"start": 2453.05, "end": 2454.37, "word": " تطلع", "probability": 0.9468994140625}, {"start": 2454.37, "end": 2456.91, "word": " موجودة", "probability": 0.9896240234375}, {"start": 2456.91, "end": 2457.43, "word": " و", "probability": 0.65283203125}, {"start": 2457.43, "end": 2458.19, "word": " بساوي", "probability": 0.727783203125}, {"start": 2458.19, "end": 2458.71, "word": " سفر", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 82, "seek": 249405, "start": 2483.83, "end": 2494.05, "text": "طيب ال .. نحاول نبرهن الجزء الأول", "tokens": [9566, 1829, 3555, 2423, 4386, 8717, 5016, 995, 12610, 8717, 26890, 3224, 1863, 25724, 11622, 38207, 16247, 12610], "avg_logprob": -0.10444078633659765, "compression_ratio": 1.0545454545454545, "no_speech_prob": 0.0, "words": [{"start": 2483.83, "end": 2484.41, "word": "طيب", "probability": 0.9599609375}, {"start": 2484.41, "end": 2484.77, "word": " ال", "probability": 0.70361328125}, {"start": 2484.77, "end": 2491.01, "word": " ..", "probability": 0.81396484375}, {"start": 2491.01, "end": 2492.33, "word": " نحاول", "probability": 0.8768310546875}, {"start": 2492.33, "end": 2493.19, "word": " نبرهن", "probability": 0.8931884765625}, {"start": 2493.19, "end": 2493.61, "word": " الجزء", "probability": 0.9847005208333334}, {"start": 2493.61, "end": 2494.05, "word": " الأول", "probability": 0.970947265625}], "temperature": 1.0}, {"id": 83, "seek": 254326, "start": 2516.42, "end": 2543.26, "text": "بناخد الجزء الأول let z of x بساوي e to 1 على x حفة x لا تساوي 0 وبدنا نثبت to show ان ال limit", "tokens": [3555, 1863, 47283, 3215, 25724, 11622, 38207, 16247, 12610, 718, 710, 295, 2031, 4724, 3794, 995, 45865, 308, 281, 502, 15844, 2031, 11331, 5172, 3660, 2031, 20193, 6055, 3794, 995, 45865, 1958, 4032, 44510, 8315, 8717, 12984, 3555, 2655, 281, 855, 16472, 2423, 4948], "avg_logprob": -0.38958333333333334, "compression_ratio": 1.165289256198347, "no_speech_prob": 0.0, "words": [{"start": 2516.42, "end": 2517.06, "word": "بناخد", "probability": 0.74871826171875}, {"start": 2517.06, "end": 2517.48, "word": " الجزء", "probability": 0.9285481770833334}, {"start": 2517.48, "end": 2518.08, "word": " الأول", "probability": 0.940185546875}, {"start": 2518.08, "end": 2523.38, "word": " let", "probability": 0.275634765625}, {"start": 2523.38, "end": 2525.16, "word": " z", "probability": 0.3125}, {"start": 2525.16, "end": 2525.4, "word": " of", "probability": 0.576171875}, {"start": 2525.4, "end": 2525.78, "word": " x", "probability": 0.951171875}, {"start": 2525.78, "end": 2526.52, "word": " بساوي", "probability": 0.7236328125}, {"start": 2526.52, "end": 2526.9, "word": " e", "probability": 0.388427734375}, {"start": 2526.9, "end": 2527.1, "word": " to", "probability": 0.254150390625}, {"start": 2527.1, "end": 2527.46, "word": " 1", "probability": 0.37841796875}, {"start": 2527.46, "end": 2527.72, "word": " على", "probability": 0.646484375}, {"start": 2527.72, "end": 2528.16, "word": " x", "probability": 0.91015625}, {"start": 2528.16, "end": 2529.44, "word": " حفة", "probability": 0.3765869140625}, {"start": 2529.44, "end": 2529.7, "word": " x", "probability": 0.84912109375}, {"start": 2529.7, "end": 2529.94, "word": " لا", "probability": 0.55224609375}, {"start": 2529.94, "end": 2530.52, "word": " تساوي", "probability": 0.9566650390625}, {"start": 2530.52, "end": 2530.88, "word": " 0", "probability": 0.52685546875}, {"start": 2530.88, "end": 2533.54, "word": " وبدنا", "probability": 0.5719401041666666}, {"start": 2533.54, "end": 2535.56, "word": " نثبت", "probability": 0.992919921875}, {"start": 2535.56, "end": 2539.26, "word": " to", "probability": 0.7880859375}, {"start": 2539.26, "end": 2540.02, "word": " show", "probability": 0.974609375}, {"start": 2540.02, "end": 2542.7, "word": " ان", "probability": 0.46044921875}, {"start": 2542.7, "end": 2542.88, "word": " ال", "probability": 0.8017578125}, {"start": 2542.88, "end": 2543.26, "word": " limit", "probability": 0.919921875}], "temperature": 1.0}, {"id": 84, "seek": 257265, "start": 2544.65, "end": 2572.65, "text": "لـ g of x لما x تقول لصفر من اليمين does not exist it suffices to show يكفي اثبات ان ال function g of x is not bounded on", "tokens": [1211, 39184, 290, 295, 2031, 5296, 15042, 2031, 6055, 39648, 5296, 9381, 5172, 2288, 9154, 2423, 32640, 9957, 775, 406, 2514, 309, 3889, 1473, 281, 855, 7251, 4117, 41185, 1975, 12984, 3555, 9307, 16472, 2423, 2445, 290, 295, 2031, 307, 406, 37498, 322], "avg_logprob": -0.2356179045005278, "compression_ratio": 1.2301587301587302, 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"probability": 0.96923828125}, {"start": 2551.43, "end": 2552.13, "word": " exist", "probability": 0.962890625}, {"start": 2552.13, "end": 2554.33, "word": " it", "probability": 0.890625}, {"start": 2554.33, "end": 2555.47, "word": " suffices", "probability": 0.9169921875}, {"start": 2555.47, "end": 2558.75, "word": " to", "probability": 0.92822265625}, {"start": 2558.75, "end": 2559.37, "word": " show", "probability": 0.95263671875}, {"start": 2559.37, "end": 2562.71, "word": " يكفي", "probability": 0.8819986979166666}, {"start": 2562.71, "end": 2563.27, "word": " اثبات", "probability": 0.89013671875}, {"start": 2563.27, "end": 2563.49, "word": " ان", "probability": 0.60205078125}, {"start": 2563.49, "end": 2563.67, "word": " ال", "probability": 0.86865234375}, {"start": 2563.67, "end": 2564.07, "word": " function", "probability": 0.7236328125}, {"start": 2564.07, "end": 2564.55, "word": " g", "probability": 0.88671875}, {"start": 2564.55, "end": 2564.77, "word": " of", "probability": 0.85302734375}, {"start": 2564.77, "end": 2565.17, "word": " x", "probability": 0.99072265625}, {"start": 2565.17, "end": 2566.41, "word": " is", "probability": 0.95458984375}, {"start": 2566.41, "end": 2566.93, "word": " not", "probability": 0.96630859375}, {"start": 2566.93, "end": 2569.01, "word": " bounded", "probability": 0.93115234375}, {"start": 2569.01, "end": 2572.65, "word": " on", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 85, "seek": 259523, "start": 2576.17, "end": 2595.23, "text": "on a right .. on a right neighborhood .. on a right neighborhood اللي هو سفر دلتا of zero", "tokens": [266, 257, 558, 4386, 322, 257, 558, 7630, 4386, 322, 257, 558, 7630, 13672, 1829, 31439, 8608, 5172, 2288, 11778, 1211, 2655, 995, 295, 4018], "avg_logprob": -0.14227764824262032, "compression_ratio": 1.36, "no_speech_prob": 0.0, "words": [{"start": 2576.17, "end": 2576.67, "word": "on", "probability": 0.8388671875}, {"start": 2576.67, "end": 2577.33, "word": " a", "probability": 0.97998046875}, {"start": 2577.33, "end": 2578.37, "word": " right", "probability": 0.916015625}, {"start": 2578.37, "end": 2578.53, "word": " ..", "probability": 0.64501953125}, {"start": 2578.53, "end": 2581.03, "word": " on", "probability": 0.90234375}, {"start": 2581.03, "end": 2581.35, "word": " a", "probability": 0.99462890625}, {"start": 2581.35, "end": 2581.85, "word": " right", "probability": 0.93701171875}, {"start": 2581.85, "end": 2585.85, "word": " neighborhood", "probability": 0.49560546875}, {"start": 2585.85, "end": 2587.81, "word": " ..", "probability": 0.578125}, {"start": 2587.81, "end": 2588.07, "word": " on", "probability": 0.9130859375}, {"start": 2588.07, "end": 2588.25, "word": " a", "probability": 0.9873046875}, {"start": 2588.25, "end": 2588.53, "word": " right", "probability": 0.9296875}, {"start": 2588.53, "end": 2589.29, "word": " neighborhood", "probability": 0.8740234375}, {"start": 2589.29, "end": 2590.29, "word": " اللي", "probability": 0.970703125}, {"start": 2590.29, "end": 2590.45, "word": " هو", "probability": 0.98876953125}, {"start": 2590.45, "end": 2591.07, "word": " سفر", "probability": 0.9112955729166666}, {"start": 2591.07, "end": 2592.29, "word": " دلتا", "probability": 0.862548828125}, {"start": 2592.29, "end": 2593.67, "word": " of", "probability": 0.943359375}, {"start": 2593.67, "end": 2595.23, "word": " zero", "probability": 0.82666015625}], "temperature": 1.0}, {"id": 86, "seek": 263421, "start": 2605.23, "end": 2634.21, "text": "أخذنا قبل ذلك نظرية بتقول إيه ده عشان أثبت أنه ال limit ل function عن نقطة معينة مش موجودة يكفي أثبت أنه أنه الدالة unbounded عند أي unbounded عند أي neighborhood للنقطة الآن بالنسبة لل one-sided limit", "tokens": [10721, 9778, 8848, 8315, 12174, 36150, 29910, 23275, 8717, 19913, 2288, 10632, 39894, 39648, 11933, 1829, 3224, 11778, 3224, 6225, 8592, 7649, 5551, 12984, 3555, 2655, 14739, 3224, 2423, 4948, 5296, 2445, 18871, 8717, 47432, 3660, 20449, 9957, 3660, 37893, 3714, 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"word": " عشان", "probability": 0.82470703125}, {"start": 2608.01, "end": 2608.33, "word": " أثبت", "probability": 0.87054443359375}, {"start": 2608.33, "end": 2608.61, "word": " أنه", "probability": 0.39794921875}, {"start": 2608.61, "end": 2608.67, "word": " ال", "probability": 0.5625}, {"start": 2608.67, "end": 2609.01, "word": " limit", "probability": 0.78466796875}, {"start": 2609.01, "end": 2610.09, "word": " ل", "probability": 0.80810546875}, {"start": 2610.09, "end": 2610.69, "word": " function", "probability": 0.62646484375}, {"start": 2610.69, "end": 2610.95, "word": " عن", "probability": 0.486083984375}, {"start": 2610.95, "end": 2611.41, "word": " نقطة", "probability": 0.9762369791666666}, {"start": 2611.41, "end": 2612.23, "word": " معينة", "probability": 0.9928385416666666}, {"start": 2612.23, "end": 2613.71, "word": " مش", "probability": 0.93310546875}, {"start": 2613.71, "end": 2614.47, "word": " موجودة", "probability": 0.989501953125}, {"start": 2614.47, "end": 2615.07, "word": " يكفي", "probability": 0.9207356770833334}, {"start": 2615.07, "end": 2615.71, "word": " أثبت", "probability": 0.9781494140625}, {"start": 2615.71, "end": 2616.27, "word": " أنه", "probability": 0.842041015625}, {"start": 2616.27, "end": 2617.61, "word": " أنه", "probability": 0.67822265625}, {"start": 2617.61, "end": 2618.21, "word": " الدالة", "probability": 0.8370768229166666}, {"start": 2618.21, "end": 2619.43, "word": " unbounded", "probability": 0.8883463541666666}, {"start": 2619.43, "end": 2619.75, "word": " عند", "probability": 0.87744140625}, {"start": 2619.75, "end": 2620.29, "word": " أي", "probability": 0.92236328125}, {"start": 2620.29, "end": 2623.91, "word": " unbounded", "probability": 0.6698811848958334}, {"start": 2623.91, "end": 2624.15, "word": " عند", "probability": 0.95263671875}, {"start": 2624.15, "end": 2624.65, "word": " أي", "probability": 0.923828125}, {"start": 2624.65, "end": 2628.65, "word": " neighborhood", "probability": 0.732421875}, {"start": 2628.65, "end": 2629.93, "word": " للنقطة", "probability": 0.85406494140625}, {"start": 2629.93, "end": 2631.69, "word": " الآن", "probability": 0.6390380859375}, {"start": 2631.69, "end": 2632.33, "word": " بالنسبة", "probability": 0.9945068359375}, {"start": 2632.33, "end": 2632.71, "word": " لل", "probability": 0.88916015625}, {"start": 2632.71, "end": 2633.33, "word": " one", "probability": 0.609375}, {"start": 2633.33, "end": 2633.75, "word": "-sided", "probability": 0.725830078125}, {"start": 2633.75, "end": 2634.21, "word": " limit", "probability": 0.97509765625}], "temperature": 1.0}, {"id": 87, "seek": 266387, "start": 2635.05, "end": 2663.87, "text": "عشان أقول إن ال limit ل function زي هذه g of x لما x تقول إلى سفر من اليمين does not exist فهي السفر و ال x تقول لسفر من اليمين فبدل ما أخد delta neighborhood للسفر فباخد right neighborhood", "tokens": [3615, 8592, 7649, 5551, 39648, 36145, 2423, 4948, 5296, 2445, 30767, 1829, 29538, 290, 295, 2031, 5296, 15042, 2031, 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انا بتعامل مع نهاية من اليمين لكن لما كنت اتعامل مع نهاية من الطرفين فكنت ااخد delta neighborhood كامل", "tokens": [1938, 7630, 24976, 3794, 5172, 2288, 6156, 1829, 4117, 41185, 16472, 2423, 2445, 29538, 19446, 3224, 1829, 33599, 37498, 18871, 28242, 558, 7630, 37495, 22653, 10874, 2407, 9640, 9154, 2423, 32640, 9957, 24976, 3794, 5172, 2288, 5296, 7649, 1975, 8315, 39894, 3615, 10943, 1211, 20449, 8717, 11296, 10632, 9154, 2423, 32640, 9957, 44381, 5296, 15042, 9122, 29399, 1975, 2655, 3615, 10943, 1211, 20449, 8717, 11296, 10632, 9154, 41950, 28480, 9957, 6156, 19452, 2655, 1975, 47283, 3215, 8289, 7630, 9122, 10943, 1211], "avg_logprob": -0.25342989258649873, "compression_ratio": 1.8579234972677596, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2666.1, "end": 2666.6, "word": "right", "probability": 0.4599609375}, {"start": 2666.6, "end": 2667.42, "word": " neighborhood", "probability": 0.64208984375}, {"start": 2667.42, "end": 2669.96, "word": " للسفر", "probability": 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