{"segments": [{"id": 1, "seek": 2698, "start": 4.96, "end": 26.98, "text": "بسم الله الرحمن الرحيم هذه هي المحاضرة رقم 27 مساق تحليل حقيقي 2 طلاب طالبات الجامعة الإسلامية كلية العلوم قسم رياضيات اللي هنكمل اليوم ان شاء الله اللي بدناها المرة الماضية اللي هو tests for absolute convergence tests for absolute convergence", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 29538, 39896, 9673, 5016, 46958, 25720, 12602, 4587, 2304, 7634, 47524, 995, 4587, 6055, 5016, 20292, 1211, 11331, 38436, 38436, 568, 23032, 15040, 3555, 23032, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 28242, 10632, 18863, 1211, 20498, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 13672, 1829, 8032, 1863, 24793, 1211, 45595, 20498, 16472, 13412, 16606, 21984, 13672, 1829, 47525, 8315, 11296, 9673, 25720, 9673, 46958, 10632, 13672, 1829, 31439, 6921, 337, 8236, 32181, 6921, 337, 8236, 32181], "avg_logprob": -0.14149306234386233, "compression_ratio": 1.8009259259259258, "no_speech_prob": 1.1146068572998047e-05, "words": [{"start": 4.96, "end": 5.22, "word": "بسم", "probability": 0.799560546875}, {"start": 5.22, "end": 5.42, "word": " الله", "probability": 0.9482421875}, {"start": 5.42, "end": 5.8, "word": " الرحمن", "probability": 0.9724934895833334}, {"start": 5.8, "end": 6.38, "word": " الرحيم", "probability": 0.9938151041666666}, {"start": 6.38, "end": 7.16, "word": " هذه", "probability": 0.69775390625}, {"start": 7.16, "end": 7.32, "word": " هي", "probability": 0.69287109375}, {"start": 7.32, "end": 7.82, "word": " المحاضرة", "probability": 0.96728515625}, {"start": 7.82, "end": 8.14, "word": " رقم", "probability": 0.8114420572916666}, {"start": 8.14, "end": 8.84, "word": " 27", "probability": 0.8662109375}, {"start": 8.84, "end": 9.52, "word": " مساق", "probability": 0.6884765625}, {"start": 9.52, "end": 10.04, "word": " تحليل", "probability": 0.9798583984375}, {"start": 10.04, "end": 10.52, "word": " حقيقي", "probability": 0.7853190104166666}, {"start": 10.52, "end": 10.88, "word": " 2", "probability": 0.74462890625}, {"start": 10.88, "end": 11.78, "word": " طلاب", "probability": 0.93359375}, {"start": 11.78, "end": 12.38, "word": " طالبات", "probability": 0.9024658203125}, {"start": 12.38, "end": 12.76, "word": " الجامعة", "probability": 0.98876953125}, {"start": 12.76, "end": 13.52, "word": " الإسلامية", "probability": 0.97216796875}, {"start": 13.52, "end": 14.62, "word": " كلية", "probability": 0.740478515625}, {"start": 14.62, "end": 15.4, "word": " العلوم", "probability": 0.9378255208333334}, {"start": 15.4, "end": 16.5, "word": " قسم", "probability": 0.932373046875}, {"start": 16.5, "end": 17.2, "word": " رياضيات", "probability": 0.8900390625}, {"start": 17.2, "end": 17.84, "word": " اللي", "probability": 0.76318359375}, {"start": 17.84, "end": 18.44, "word": " هنكمل", "probability": 0.84521484375}, {"start": 18.44, "end": 19.0, "word": " اليوم", "probability": 0.889404296875}, {"start": 19.0, "end": 19.22, "word": " ان", "probability": 0.580078125}, {"start": 19.22, "end": 19.52, "word": " شاء", "probability": 0.9873046875}, {"start": 19.52, "end": 19.74, "word": " الله", "probability": 0.94140625}, {"start": 19.74, "end": 19.96, "word": " اللي", "probability": 0.967041015625}, {"start": 19.96, "end": 20.6, "word": " بدناها", "probability": 0.6231282552083334}, {"start": 20.6, "end": 20.88, "word": " المرة", "probability": 0.979248046875}, {"start": 20.88, "end": 21.58, "word": " الماضية", "probability": 0.994140625}, {"start": 21.58, "end": 22.04, "word": " اللي", "probability": 0.950927734375}, {"start": 22.04, "end": 22.26, "word": " هو", "probability": 0.974609375}, {"start": 22.26, "end": 22.82, "word": " tests", "probability": 0.8837890625}, {"start": 22.82, "end": 23.56, "word": " for", "probability": 0.96240234375}, {"start": 23.56, "end": 24.16, "word": " absolute", "probability": 0.8701171875}, {"start": 24.16, "end": 25.08, "word": " convergence", "probability": 0.96044921875}, {"start": 25.08, "end": 25.6, "word": " tests", "probability": 0.7626953125}, {"start": 25.6, "end": 25.9, "word": " for", "probability": 0.9716796875}, {"start": 25.9, "end": 26.4, "word": " absolute", "probability": 0.9150390625}, {"start": 26.4, "end": 26.98, "word": " convergence", "probability": 0.958984375}], "temperature": 1.0}, {"id": 2, "seek": 4503, "start": 27.57, "end": 45.03, "text": "حكينا المرة الماضية على الـ Comparison Test وقلنا إنه الـ Comparison Test بنيجي بنقارن اللي هو Series ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..", "tokens": [5016, 4117, 1829, 8315, 9673, 25720, 9673, 46958, 10632, 15844, 2423, 39184, 2432, 2181, 2770, 9279, 4032, 4587, 1211, 8315, 36145, 3224, 2423, 39184, 2432, 2181, 2770, 9279, 44945, 1829, 7435, 1829, 44945, 4587, 9640, 1863, 13672, 1829, 31439, 13934, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386], "avg_logprob": -0.11416666878594292, "compression_ratio": 7.161290322580645, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 27.57, "end": 28.17, "word": "حكينا", "probability": 0.895751953125}, {"start": 28.17, "end": 28.59, "word": " المرة", "probability": 0.927490234375}, {"start": 28.59, "end": 28.99, "word": " الماضية", "probability": 0.98486328125}, {"start": 28.99, "end": 29.13, "word": " على", "probability": 0.486083984375}, {"start": 29.13, "end": 29.25, "word": " الـ", "probability": 0.697021484375}, {"start": 29.25, "end": 29.77, "word": " Comparison", "probability": 0.8253580729166666}, {"start": 29.77, "end": 30.27, "word": " Test", "probability": 0.7373046875}, {"start": 30.27, "end": 31.23, "word": " وقلنا", "probability": 0.7274169921875}, {"start": 31.23, "end": 31.75, "word": " إنه", "probability": 0.531982421875}, {"start": 31.75, "end": 32.05, "word": " الـ", "probability": 0.867919921875}, {"start": 32.05, "end": 32.51, "word": " Comparison", "probability": 0.9431966145833334}, {"start": 32.51, "end": 32.83, "word": " Test", "probability": 0.91162109375}, {"start": 32.83, "end": 33.27, "word": " بنيجي", "probability": 0.7867431640625}, {"start": 33.27, "end": 33.87, "word": " بنقارن", "probability": 0.9722900390625}, {"start": 33.87, "end": 34.01, "word": " اللي", "probability": 0.9404296875}, {"start": 34.01, "end": 34.41, "word": " هو", "probability": 0.986328125}, {"start": 34.41, "end": 35.25, "word": " Series", "probability": 0.283935546875}, {"start": 35.25, "end": 35.49, "word": " ال", "probability": 0.73486328125}, {"start": 35.49, "end": 35.59, "word": " ..", "probability": 0.356201171875}, {"start": 35.59, "end": 35.99, "word": " ال", "probability": 0.9658203125}, {"start": 35.99, "end": 35.99, "word": " ..", "probability": 0.95068359375}, {"start": 35.99, "end": 36.41, "word": " ال", "probability": 0.974609375}, {"start": 36.41, "end": 36.47, "word": " ..", "probability": 0.83349609375}, {"start": 36.47, "end": 36.49, "word": " ال", "probability": 0.51123046875}, {"start": 36.49, "end": 36.49, "word": " ..", "probability": 0.6064453125}, {"start": 36.49, "end": 36.53, "word": " ال", "probability": 0.6162109375}, {"start": 36.53, "end": 36.83, "word": " ..", "probability": 0.55029296875}, {"start": 36.83, "end": 37.03, "word": " ال", "probability": 0.74755859375}, {"start": 37.03, "end": 37.61, "word": " ..", "probability": 0.60986328125}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.8505859375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.72509765625}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.908203125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.8271484375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.93310546875}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.89404296875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9453125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.93017578125}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.95068359375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9482421875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.953125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9599609375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.95458984375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.966796875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9541015625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9716796875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.95361328125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.974609375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9541015625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9765625}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.95361328125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.97802734375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9521484375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9794921875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9521484375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.97998046875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9501953125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9814453125}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9501953125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98193359375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.94873046875}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98291015625}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.94775390625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98291015625}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.94775390625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98388671875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.947265625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.984375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.947265625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98486328125}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.94677734375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98486328125}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.947265625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98583984375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.947265625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98583984375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9482421875}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98583984375}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.94775390625}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98681640625}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9501953125}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.9873046875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.94921875}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98779296875}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.95068359375}, {"start": 37.61, "end": 37.61, "word": " ..", "probability": 0.98828125}, {"start": 37.61, "end": 37.61, "word": " ال", "probability": 0.9521484375}, {"start": 37.61, "end": 37.75, "word": " ..", "probability": 0.98828125}, {"start": 37.75, "end": 37.75, "word": " ال", "probability": 0.951171875}, {"start": 37.75, "end": 37.75, "word": " ..", "probability": 0.98876953125}, {"start": 37.75, "end": 37.75, "word": " ال", "probability": 0.95166015625}, {"start": 37.75, "end": 37.75, "word": " ..", "probability": 0.9892578125}, {"start": 37.75, "end": 37.75, "word": " ال", "probability": 0.95361328125}, {"start": 37.75, "end": 37.79, "word": " ..", "probability": 0.9892578125}, {"start": 37.79, "end": 37.79, "word": " ال", "probability": 0.9521484375}, {"start": 37.79, "end": 37.79, "word": " ..", "probability": 0.990234375}, {"start": 37.79, "end": 37.79, "word": " ال", "probability": 0.953125}, {"start": 37.79, "end": 37.79, "word": " ..", "probability": 0.990234375}, {"start": 37.79, "end": 37.79, "word": " ال", "probability": 0.953125}, {"start": 37.79, "end": 37.79, "word": " ..", "probability": 0.99072265625}, {"start": 37.79, "end": 37.79, "word": " ال", "probability": 0.95361328125}, {"start": 37.79, "end": 37.79, "word": " ..", "probability": 0.9912109375}, {"start": 37.79, "end": 37.79, "word": " ال", "probability": 0.95166015625}, {"start": 37.79, "end": 38.15, "word": " ..", "probability": 0.9912109375}, {"start": 38.15, "end": 39.23, "word": " ال", "probability": 0.951171875}, {"start": 39.23, "end": 39.23, "word": " ..", "probability": 0.9912109375}, {"start": 39.23, "end": 39.23, "word": " ال", "probability": 0.9521484375}, {"start": 39.23, "end": 39.23, "word": " ..", "probability": 0.9912109375}, {"start": 39.23, "end": 39.23, "word": " ال", "probability": 0.94970703125}, {"start": 39.23, "end": 39.23, "word": " ..", "probability": 0.99169921875}, {"start": 39.23, "end": 39.29, "word": " ال", "probability": 0.94873046875}, {"start": 39.29, "end": 39.29, "word": " ..", "probability": 0.99169921875}, {"start": 39.29, "end": 39.29, "word": " ال", "probability": 0.9482421875}, {"start": 39.29, "end": 39.29, "word": " ..", "probability": 0.99169921875}, {"start": 39.29, "end": 39.29, "word": " ال", "probability": 0.94677734375}, {"start": 39.29, "end": 39.65, "word": " ..", "probability": 0.9921875}, {"start": 39.65, "end": 39.83, "word": " ال", "probability": 0.94580078125}, {"start": 39.83, "end": 39.83, "word": " ..", "probability": 0.99169921875}, {"start": 39.83, "end": 39.83, "word": " ال", "probability": 0.94287109375}, {"start": 39.83, "end": 39.83, "word": " ..", "probability": 0.9921875}, {"start": 39.83, "end": 39.83, "word": " ال", "probability": 0.9404296875}, {"start": 39.83, "end": 39.83, "word": " ..", "probability": 0.9921875}, {"start": 39.83, "end": 39.83, "word": " ال", "probability": 0.94140625}, {"start": 39.83, "end": 39.83, "word": " ..", "probability": 0.9921875}, {"start": 39.83, "end": 39.83, "word": " ال", "probability": 0.93798828125}, {"start": 39.83, "end": 39.83, "word": " ..", "probability": 0.9921875}, {"start": 39.83, "end": 39.89, "word": " ال", "probability": 0.9345703125}, {"start": 39.89, "end": 39.89, "word": " ..", "probability": 0.9921875}, {"start": 39.89, "end": 39.89, "word": " ال", "probability": 0.9306640625}, {"start": 39.89, "end": 39.89, "word": " ..", "probability": 0.9921875}, {"start": 39.89, "end": 39.89, "word": " ال", "probability": 0.9287109375}, {"start": 39.89, "end": 39.89, "word": " ..", "probability": 0.99267578125}, {"start": 39.89, "end": 39.89, "word": " ال", "probability": 0.9306640625}, {"start": 39.89, "end": 39.89, "word": " ..", "probability": 0.99267578125}, {"start": 39.89, "end": 39.89, "word": " ال", "probability": 0.92333984375}, {"start": 39.89, "end": 39.89, "word": " ..", "probability": 0.99267578125}, {"start": 39.89, "end": 39.89, "word": " ال", "probability": 0.92138671875}, {"start": 39.89, "end": 39.89, "word": " ..", "probability": 0.99267578125}, {"start": 39.89, "end": 39.91, "word": " ال", "probability": 0.91943359375}, {"start": 39.91, "end": 39.91, "word": " ..", "probability": 0.99267578125}, {"start": 39.91, "end": 39.93, "word": " ال", "probability": 0.91748046875}, {"start": 39.93, "end": 40.25, "word": " ..", "probability": 0.9931640625}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.9111328125}, {"start": 40.25, "end": 40.25, "word": " ..", "probability": 0.9931640625}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.9111328125}, {"start": 40.25, "end": 40.25, "word": " ..", "probability": 0.9931640625}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.90234375}, {"start": 40.25, "end": 40.25, "word": " ..", "probability": 0.9931640625}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.8974609375}, {"start": 40.25, "end": 40.25, "word": " ..", "probability": 0.9931640625}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.89599609375}, {"start": 40.25, "end": 40.25, "word": " ..", "probability": 0.9931640625}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.8916015625}, {"start": 40.25, "end": 40.25, "word": " ..", "probability": 0.99365234375}, {"start": 40.25, "end": 40.25, "word": " ال", "probability": 0.8876953125}, {"start": 40.25, "end": 40.47, "word": " ..", "probability": 0.99365234375}, {"start": 40.47, "end": 40.57, "word": " ال", "probability": 0.876953125}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.99365234375}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.873046875}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.99365234375}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.86865234375}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.994140625}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.86474609375}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.99365234375}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.85107421875}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.99365234375}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.84326171875}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.99365234375}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.841796875}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.994140625}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.82763671875}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.994140625}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.8173828125}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.994140625}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.818359375}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.994140625}, {"start": 40.57, "end": 40.57, "word": " ال", "probability": 0.7919921875}, {"start": 40.57, "end": 40.57, "word": " ..", "probability": 0.994140625}, {"start": 40.57, "end": 40.67, "word": " ال", "probability": 0.79443359375}, {"start": 40.67, "end": 40.97, "word": " ..", "probability": 0.994140625}, {"start": 40.97, "end": 41.53, "word": " ال", "probability": 0.783203125}, {"start": 41.53, "end": 42.55, "word": " ..", "probability": 0.994140625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.755859375}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.994140625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.71875}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.99462890625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.70263671875}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.99462890625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.6826171875}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.99462890625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.66455078125}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.99462890625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.6357421875}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.99462890625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.6181640625}, {"start": 42.55, "end": 42.55, "word": " ..", "probability": 0.99462890625}, {"start": 42.55, "end": 42.55, "word": " ال", "probability": 0.6142578125}, {"start": 42.55, "end": 44.93, "word": " ..", "probability": 0.99462890625}, {"start": 44.93, "end": 44.93, "word": " ال", "probability": 0.57568359375}, {"start": 44.93, "end": 44.93, "word": " ..", "probability": 0.9951171875}, {"start": 44.93, "end": 44.93, "word": " ال", "probability": 0.51318359375}, {"start": 44.93, "end": 45.03, "word": " ..", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 3, "seek": 7193, "start": 46.09, "end": 71.93, "text": "converges ولو كانت اللي هي الصغيرة diverse من باب أولى هتكون اللي أكبير عايش diverse هذا ال comparison test و بعدين أخدنا ال limit comparison test اللي هو اللي بيقارن بين اللي هو limit XN على YN لو كان عندي لا يساوي سفر معناته يتقل هي ال then اللي هو summation لل XN converts FN دول ال summation converts يعني التنتين يعني converts التنتين diverse", "tokens": [1671, 331, 2880, 4032, 1211, 2407, 25961, 2655, 13672, 1829, 39896, 31767, 17082, 48923, 9521, 9154, 4724, 16758, 5551, 12610, 7578, 8032, 2655, 30544, 13672, 1829, 5551, 4117, 3555, 13546, 6225, 47302, 8592, 9521, 23758, 2423, 9660, 1500, 4032, 39182, 9957, 5551, 9778, 3215, 8315, 2423, 4948, 9660, 1500, 13672, 1829, 31439, 13672, 1829, 4724, 1829, 4587, 9640, 1863, 49374, 13672, 1829, 31439, 4948, 1783, 45, 15844, 398, 45, 45164, 25961, 18871, 16254, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288, 20449, 8315, 47395, 7251, 2655, 4587, 1211, 39896, 2423, 550, 13672, 1829, 31439, 28811, 24976, 1783, 45, 38874, 479, 45, 11778, 12610, 2423, 28811, 38874, 37495, 22653, 16712, 29399, 9957, 37495, 22653, 38874, 16712, 29399, 9957, 9521], "avg_logprob": -0.29385505604142903, "compression_ratio": 1.9097744360902256, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 46.09, "end": 46.85, "word": "converges", "probability": 0.5926106770833334}, {"start": 46.85, "end": 47.15, "word": " ولو", "probability": 0.610107421875}, {"start": 47.15, "end": 47.57, "word": " كانت", "probability": 0.978271484375}, {"start": 47.57, "end": 47.71, "word": " اللي", "probability": 0.802001953125}, {"start": 47.71, "end": 47.87, "word": " هي", "probability": 0.814453125}, {"start": 47.87, "end": 48.39, "word": " الصغيرة", "probability": 0.9269205729166666}, {"start": 48.39, "end": 49.03, "word": " diverse", "probability": 0.426025390625}, {"start": 49.03, "end": 49.27, "word": " من", "probability": 0.96142578125}, {"start": 49.27, "end": 49.57, "word": " باب", "probability": 0.968994140625}, {"start": 49.57, "end": 49.87, "word": " أولى", "probability": 0.7958170572916666}, {"start": 49.87, "end": 50.23, "word": " هتكون", "probability": 0.80810546875}, {"start": 50.23, "end": 50.37, "word": " اللي", "probability": 0.823486328125}, {"start": 50.37, "end": 50.77, "word": " أكبير", "probability": 0.627716064453125}, {"start": 50.77, "end": 51.29, "word": " عايش", "probability": 0.5958658854166666}, {"start": 51.29, "end": 51.83, "word": " diverse", "probability": 0.599609375}, {"start": 51.83, "end": 52.51, "word": " هذا", "probability": 0.87548828125}, {"start": 52.51, "end": 52.69, "word": " ال", "probability": 0.94677734375}, {"start": 52.69, "end": 53.09, "word": " comparison", "probability": 0.634765625}, {"start": 53.09, "end": 53.51, "word": " test", "probability": 0.95751953125}, {"start": 53.51, "end": 53.61, "word": " و", "probability": 0.50341796875}, {"start": 53.61, "end": 53.91, "word": " بعدين", "probability": 0.876708984375}, {"start": 53.91, "end": 54.29, "word": " أخدنا", "probability": 0.9669189453125}, {"start": 54.29, "end": 54.43, "word": " ال", "probability": 0.425537109375}, {"start": 54.43, "end": 54.65, "word": " limit", "probability": 0.90576171875}, {"start": 54.65, "end": 55.25, "word": " comparison", "probability": 0.91162109375}, {"start": 55.25, "end": 55.63, "word": " test", "probability": 0.9560546875}, {"start": 55.63, "end": 55.81, "word": " اللي", "probability": 0.975341796875}, {"start": 55.81, "end": 56.11, "word": " هو", "probability": 0.95751953125}, {"start": 56.11, "end": 56.77, "word": " اللي", "probability": 0.9521484375}, {"start": 56.77, "end": 57.49, "word": " بيقارن", "probability": 0.96337890625}, {"start": 57.49, "end": 57.79, "word": " بين", "probability": 0.98095703125}, {"start": 57.79, "end": 58.03, "word": " اللي", "probability": 0.97509765625}, {"start": 58.03, "end": 58.31, "word": " هو", "probability": 0.97216796875}, {"start": 58.31, "end": 58.77, "word": " limit", "probability": 0.98486328125}, {"start": 58.77, "end": 59.33, "word": " XN", "probability": 0.321044921875}, {"start": 59.33, "end": 59.57, "word": " على", "probability": 0.73095703125}, {"start": 59.57, "end": 60.19, "word": " YN", "probability": 0.95947265625}, {"start": 60.19, "end": 60.75, "word": " لو", "probability": 0.96728515625}, {"start": 60.75, "end": 61.05, "word": " كان", "probability": 0.98828125}, {"start": 61.05, "end": 61.45, "word": " عندي", "probability": 0.870361328125}, {"start": 61.45, "end": 61.59, "word": " لا", "probability": 0.84814453125}, {"start": 61.59, "end": 62.05, "word": " يساوي", "probability": 0.899658203125}, {"start": 62.05, "end": 62.43, "word": " سفر", "probability": 0.85302734375}, {"start": 62.43, "end": 62.89, "word": " معناته", "probability": 0.96875}, {"start": 62.89, "end": 63.41, "word": " يتقل", "probability": 0.68463134765625}, {"start": 63.41, "end": 64.23, "word": " هي", "probability": 0.72119140625}, {"start": 64.23, "end": 64.45, "word": " ال", "probability": 0.751953125}, {"start": 64.45, "end": 65.07, "word": " then", "probability": 0.1177978515625}, {"start": 65.07, "end": 65.27, "word": " اللي", "probability": 0.869140625}, {"start": 65.27, "end": 65.47, "word": " هو", "probability": 0.95361328125}, {"start": 65.47, "end": 65.89, "word": " summation", "probability": 0.5888671875}, {"start": 65.89, "end": 66.23, "word": " لل", "probability": 0.505859375}, {"start": 66.23, "end": 66.67, "word": " XN", "probability": 0.794677734375}, {"start": 66.67, "end": 67.13, "word": " converts", "probability": 0.342041015625}, {"start": 67.13, "end": 67.51, "word": " FN", "probability": 0.769775390625}, {"start": 67.51, "end": 67.73, "word": " دول", "probability": 0.8857421875}, {"start": 67.73, "end": 67.93, "word": " ال", "probability": 0.44580078125}, {"start": 67.93, "end": 68.35, "word": " summation", "probability": 0.9365234375}, {"start": 68.35, "end": 69.21, "word": " converts", "probability": 0.72802734375}, {"start": 69.21, "end": 69.45, "word": " يعني", "probability": 0.837646484375}, {"start": 69.45, "end": 69.91, "word": " التنتين", "probability": 0.8751627604166666}, {"start": 69.91, "end": 70.03, "word": " يعني", "probability": 0.24285888671875}, {"start": 70.03, "end": 70.45, "word": " converts", "probability": 0.40283203125}, {"start": 70.45, "end": 71.21, "word": " التنتين", "probability": 0.79736328125}, {"start": 71.21, "end": 71.93, "word": " diverse", "probability": 0.74072265625}], "temperature": 1.0}, {"id": 4, "seek": 8784, "start": 72.36, "end": 87.84, "text": "لكن الـ N لو كان ال limit في ال .. في ال .. في ال .. في ال limit XN على YN بيساوى 0 لو ساوى 0 و كانت اللي هي اللي تحت اللي هي is convergent أكيد اللي هي اللي فوق هتكون is convergent", "tokens": [1211, 19452, 2423, 39184, 426, 45164, 25961, 2423, 4948, 8978, 2423, 4386, 8978, 2423, 4386, 8978, 2423, 4386, 8978, 2423, 4948, 1783, 45, 15844, 398, 45, 4724, 1829, 3794, 995, 2407, 7578, 1958, 45164, 8608, 995, 2407, 7578, 1958, 4032, 25961, 2655, 13672, 1829, 39896, 13672, 1829, 6055, 33753, 13672, 1829, 39896, 307, 9652, 6930, 5551, 4117, 25708, 13672, 1829, 39896, 13672, 1829, 6156, 30543, 8032, 2655, 30544, 307, 9652, 6930], "avg_logprob": -0.2595486028326882, "compression_ratio": 1.8819444444444444, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 72.36, "end": 72.98, "word": "لكن", "probability": 0.77490234375}, {"start": 72.98, "end": 73.2, "word": " الـ", "probability": 0.485107421875}, {"start": 73.2, "end": 73.54, "word": " N", "probability": 0.1522216796875}, {"start": 73.54, "end": 73.88, "word": " لو", "probability": 0.7451171875}, {"start": 73.88, "end": 74.16, "word": " كان", "probability": 0.9833984375}, {"start": 74.16, "end": 74.28, "word": " ال", "probability": 0.40771484375}, {"start": 74.28, "end": 74.56, "word": " limit", "probability": 0.419921875}, {"start": 74.56, "end": 74.8, "word": " في", "probability": 0.28076171875}, {"start": 74.8, "end": 74.98, "word": " ال", "probability": 0.77783203125}, {"start": 74.98, "end": 74.98, "word": " ..", "probability": 0.403564453125}, {"start": 74.98, "end": 75.14, "word": " في", "probability": 0.85107421875}, {"start": 75.14, "end": 75.34, "word": " ال", "probability": 0.94775390625}, {"start": 75.34, "end": 75.34, "word": " ..", "probability": 0.962890625}, {"start": 75.34, "end": 75.48, "word": " في", "probability": 0.91943359375}, {"start": 75.48, "end": 76.0, "word": " ال", "probability": 0.9345703125}, {"start": 76.0, "end": 76.0, "word": " ..", "probability": 0.84326171875}, {"start": 76.0, "end": 76.34, "word": " في", "probability": 0.87255859375}, {"start": 76.34, "end": 76.44, "word": " ال", "probability": 0.8291015625}, {"start": 76.44, "end": 76.64, "word": " limit", "probability": 0.7470703125}, {"start": 76.64, "end": 77.02, "word": " XN", "probability": 0.576904296875}, {"start": 77.02, "end": 77.18, "word": " على", "probability": 0.6708984375}, {"start": 77.18, "end": 77.7, "word": " YN", "probability": 0.9755859375}, {"start": 77.7, "end": 79.56, "word": " بيساوى", "probability": 0.6491292317708334}, {"start": 79.56, "end": 79.86, "word": " 0", "probability": 0.66064453125}, {"start": 79.86, "end": 80.1, "word": " لو", "probability": 0.6044921875}, {"start": 80.1, "end": 80.46, "word": " ساوى", "probability": 0.9130859375}, {"start": 80.46, "end": 80.82, "word": " 0", "probability": 0.9404296875}, {"start": 80.82, "end": 81.3, "word": " و", "probability": 0.93359375}, {"start": 81.3, "end": 81.7, "word": " كانت", "probability": 0.79736328125}, {"start": 81.7, "end": 81.8, "word": " اللي", "probability": 0.953369140625}, {"start": 81.8, "end": 82.06, "word": " هي", "probability": 0.59619140625}, {"start": 82.06, "end": 82.38, "word": " اللي", "probability": 0.889404296875}, {"start": 82.38, "end": 82.84, "word": " تحت", "probability": 0.987060546875}, {"start": 82.84, "end": 83.1, "word": " اللي", "probability": 0.9365234375}, {"start": 83.1, "end": 83.5, "word": " هي", "probability": 0.947265625}, {"start": 83.5, "end": 84.04, "word": " is", "probability": 0.6552734375}, {"start": 84.04, "end": 84.72, "word": " convergent", "probability": 0.960693359375}, {"start": 84.72, "end": 85.2, "word": " أكيد", "probability": 0.8896484375}, {"start": 85.2, "end": 85.4, "word": " اللي", "probability": 0.989013671875}, {"start": 85.4, "end": 85.58, "word": " هي", "probability": 0.8427734375}, {"start": 85.58, "end": 85.74, "word": " اللي", "probability": 0.912841796875}, {"start": 85.74, "end": 85.98, "word": " فوق", "probability": 0.970703125}, {"start": 85.98, "end": 86.52, "word": " هتكون", "probability": 0.86572265625}, {"start": 86.52, "end": 86.98, "word": " is", "probability": 0.94873046875}, {"start": 86.98, "end": 87.84, "word": " convergent", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 5, "seek": 11187, "start": 88.75, "end": 111.87, "text": "الان اللي هو بعد هيك أخدنا اللي هو الـ Root and Ratio Test الـ Root and Ratio Test قلنا اللي هو اللي بنيجي بنفحص اللي هو Absolute Value لـ X N أصغر و واحدة لـ N لو من عند N أكبر سو K طالع اللي هي عندي X N أصغر و واحدة ل N أصغر سو R الآن ال Series اللي عندي هذه بتكون أشملها Absolutely Convergent لما تكون الـ R أصغر من 1", "tokens": [6027, 7649, 13672, 1829, 31439, 39182, 39896, 4117, 5551, 9778, 3215, 8315, 13672, 1829, 31439, 2423, 39184, 3101, 310, 293, 24269, 1004, 9279, 2423, 39184, 3101, 310, 293, 24269, 1004, 9279, 12174, 1211, 8315, 13672, 1829, 31439, 13672, 1829, 44945, 1829, 7435, 1829, 44945, 5172, 5016, 9381, 13672, 1829, 31439, 43965, 1169, 39352, 5296, 39184, 1783, 426, 5551, 9381, 17082, 2288, 4032, 36764, 24401, 3660, 5296, 39184, 426, 45164, 9154, 43242, 426, 5551, 4117, 26890, 8608, 2407, 591, 23032, 6027, 3615, 13672, 1829, 39896, 18871, 16254, 1783, 426, 5551, 9381, 17082, 2288, 4032, 36764, 24401, 3660, 5296, 426, 5551, 9381, 17082, 2288, 8608, 2407, 497, 6024, 48506, 2423, 13934, 13672, 1829, 18871, 16254, 29538, 39894, 30544, 5551, 8592, 42213, 11296, 7021, 2656, 331, 6930, 5296, 15042, 6055, 30544, 2423, 39184, 497, 5551, 9381, 17082, 2288, 9154, 502], "avg_logprob": -0.2717391215804694, "compression_ratio": 1.9246031746031746, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 88.75, "end": 89.31, "word": "الان", "probability": 0.65234375}, {"start": 89.31, "end": 89.65, "word": " اللي", "probability": 0.59326171875}, {"start": 89.65, "end": 89.87, "word": " هو", "probability": 0.9404296875}, {"start": 89.87, "end": 90.15, "word": " بعد", "probability": 0.79736328125}, {"start": 90.15, "end": 90.43, "word": " هيك", "probability": 0.43310546875}, {"start": 90.43, "end": 90.93, "word": " أخدنا", "probability": 0.8486328125}, {"start": 90.93, "end": 91.07, "word": " اللي", "probability": 0.9228515625}, {"start": 91.07, "end": 91.31, "word": " هو", "probability": 0.9853515625}, {"start": 91.31, "end": 91.95, "word": " الـ", "probability": 0.75390625}, {"start": 91.95, "end": 92.21, "word": " Root", "probability": 0.627197265625}, {"start": 92.21, "end": 92.47, "word": " and", "probability": 0.71142578125}, {"start": 92.47, "end": 92.93, "word": " Ratio", "probability": 0.946533203125}, {"start": 92.93, "end": 93.31, "word": " Test", "probability": 0.8203125}, {"start": 93.31, "end": 93.95, "word": " الـ", "probability": 0.739501953125}, {"start": 93.95, "end": 94.13, "word": " Root", "probability": 0.835693359375}, {"start": 94.13, "end": 94.35, "word": " and", "probability": 0.94775390625}, {"start": 94.35, "end": 94.67, "word": " Ratio", "probability": 0.987060546875}, {"start": 94.67, "end": 94.91, "word": " Test", "probability": 0.9189453125}, {"start": 94.91, "end": 95.35, "word": " قلنا", "probability": 0.8302408854166666}, {"start": 95.35, "end": 95.61, "word": " اللي", "probability": 0.950927734375}, {"start": 95.61, "end": 95.85, "word": " هو", "probability": 0.908203125}, {"start": 95.85, "end": 96.25, "word": " اللي", "probability": 0.7359619140625}, {"start": 96.25, "end": 96.59, "word": " بنيجي", "probability": 0.8487548828125}, {"start": 96.59, "end": 97.17, "word": " بنفحص", "probability": 0.872314453125}, {"start": 97.17, "end": 97.37, "word": " اللي", "probability": 0.971923828125}, {"start": 97.37, "end": 97.57, "word": " هو", "probability": 0.60205078125}, {"start": 97.57, "end": 98.05, "word": " Absolute", "probability": 0.7274169921875}, {"start": 98.05, "end": 98.31, "word": " Value", "probability": 0.79248046875}, {"start": 98.31, "end": 98.47, "word": " لـ", "probability": 0.72314453125}, {"start": 98.47, "end": 98.59, "word": " X", "probability": 0.82080078125}, {"start": 98.59, "end": 98.77, "word": " N", "probability": 0.24462890625}, {"start": 98.77, "end": 98.93, "word": " أصغر", "probability": 0.69879150390625}, {"start": 98.93, "end": 98.99, "word": " و", "probability": 0.52685546875}, {"start": 98.99, "end": 99.29, "word": " واحدة", "probability": 0.6981201171875}, {"start": 99.29, "end": 99.43, "word": " لـ", "probability": 0.462890625}, {"start": 99.43, "end": 99.53, "word": " N", "probability": 0.869140625}, {"start": 99.53, "end": 100.09, "word": " لو", "probability": 0.76611328125}, {"start": 100.09, "end": 100.23, "word": " من", "probability": 0.97216796875}, {"start": 100.23, "end": 100.51, "word": " عند", "probability": 0.95947265625}, {"start": 100.51, "end": 100.73, "word": " N", "probability": 0.91259765625}, {"start": 100.73, "end": 101.09, "word": " أكبر", "probability": 0.9833984375}, {"start": 101.09, "end": 101.35, "word": " سو", "probability": 0.505645751953125}, {"start": 101.35, "end": 101.53, "word": " K", "probability": 0.7275390625}, {"start": 101.53, "end": 102.03, "word": " طالع", "probability": 0.9073893229166666}, {"start": 102.03, "end": 102.53, "word": " اللي", "probability": 0.6802978515625}, {"start": 102.53, "end": 102.71, "word": " هي", "probability": 0.80322265625}, {"start": 102.71, "end": 103.07, "word": " عندي", "probability": 0.680908203125}, {"start": 103.07, "end": 103.25, "word": " X", "probability": 0.962890625}, {"start": 103.25, "end": 103.39, "word": " N", "probability": 0.8056640625}, {"start": 103.39, "end": 103.67, "word": " أصغر", "probability": 0.951171875}, {"start": 103.67, "end": 103.67, "word": " و", "probability": 0.459228515625}, {"start": 103.67, "end": 103.75, "word": " واحدة", "probability": 0.9671223958333334}, {"start": 103.75, "end": 103.83, "word": " ل", "probability": 0.9365234375}, {"start": 103.83, "end": 103.93, "word": " N", "probability": 0.32763671875}, {"start": 103.93, "end": 104.19, "word": " أصغر", "probability": 0.928955078125}, {"start": 104.19, "end": 104.47, "word": " سو", "probability": 0.72900390625}, {"start": 104.47, "end": 104.81, "word": " R", "probability": 0.97119140625}, {"start": 104.81, "end": 105.65, "word": " الآن", "probability": 0.5753173828125}, {"start": 105.65, "end": 105.97, "word": " ال", "probability": 0.86279296875}, {"start": 105.97, "end": 106.43, "word": " Series", "probability": 0.477294921875}, {"start": 106.43, "end": 106.63, "word": " اللي", "probability": 0.987548828125}, {"start": 106.63, "end": 106.91, "word": " عندي", "probability": 0.849853515625}, {"start": 106.91, "end": 107.15, "word": " هذه", "probability": 0.64599609375}, {"start": 107.15, "end": 107.67, "word": " بتكون", "probability": 0.782470703125}, {"start": 107.67, "end": 108.29, "word": " أشملها", "probability": 0.64141845703125}, {"start": 108.29, "end": 108.91, "word": " Absolutely", "probability": 0.486572265625}, {"start": 108.91, "end": 109.69, "word": " Convergent", "probability": 0.9518229166666666}, {"start": 109.69, "end": 109.97, "word": " لما", "probability": 0.915771484375}, {"start": 109.97, "end": 110.31, "word": " تكون", "probability": 0.99169921875}, {"start": 110.31, "end": 110.51, "word": " الـ", "probability": 0.794921875}, {"start": 110.51, "end": 110.69, "word": " R", "probability": 0.78857421875}, {"start": 110.69, "end": 111.35, "word": " أصغر", "probability": 0.996337890625}, {"start": 111.35, "end": 111.57, "word": " من", "probability": 0.9951171875}, {"start": 111.57, "end": 111.87, "word": " 1", "probability": 0.83056640625}], "temperature": 1.0}, {"id": 6, "seek": 14129, "start": 112.45, "end": 141.29, "text": "لو كان اللي هو طلع عندى الـ Xn-1 لأن أكبر أو يساوي 1 لكل n أكبر يساوي k بيكون ال series اللي هي summation Xn يشملها is divergent أخدنا كورولري عليها اللي هو بدل ما على ال terms أخدنا ال limit لل Xn-1 لأن اللي هو لو لجناها بتساوي R بيكون ال summation absolutely convergent لما R أصغر من 1 و undivergent لما R أكبر من 1", "tokens": [1211, 2407, 25961, 13672, 1829, 31439, 23032, 1211, 3615, 43242, 7578, 2423, 39184, 1783, 77, 12, 16, 5296, 33456, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 502, 5296, 28820, 297, 5551, 4117, 26890, 7251, 3794, 995, 45865, 350, 4724, 1829, 30544, 2423, 2638, 13672, 1829, 39896, 28811, 1783, 77, 7251, 8592, 42213, 11296, 307, 18558, 6930, 5551, 9778, 3215, 8315, 9122, 13063, 12610, 16572, 25894, 11296, 13672, 1829, 31439, 47525, 1211, 19446, 15844, 2423, 2115, 5551, 9778, 3215, 8315, 2423, 4948, 24976, 1783, 77, 12, 16, 5296, 33456, 13672, 1829, 31439, 45164, 5296, 7435, 8315, 11296, 39894, 3794, 995, 45865, 497, 4724, 1829, 30544, 2423, 28811, 3122, 9652, 6930, 5296, 15042, 497, 5551, 9381, 17082, 2288, 9154, 502, 4032, 674, 1837, 6930, 5296, 15042, 497, 5551, 4117, 26890, 9154, 502], "avg_logprob": -0.22549715638160706, "compression_ratio": 1.8588235294117648, "no_speech_prob": 5.125999450683594e-06, "words": [{"start": 112.45, "end": 112.79, "word": "لو", "probability": 0.950927734375}, {"start": 112.79, "end": 113.11, "word": " كان", "probability": 0.9716796875}, {"start": 113.11, "end": 113.29, "word": " اللي", "probability": 0.866455078125}, {"start": 113.29, "end": 113.61, "word": " هو", "probability": 0.94384765625}, {"start": 113.61, "end": 114.07, "word": " طلع", "probability": 0.8621419270833334}, {"start": 114.07, "end": 114.41, "word": " عندى", "probability": 0.661376953125}, {"start": 114.41, "end": 114.55, "word": " الـ", "probability": 0.515625}, {"start": 114.55, "end": 114.91, "word": " Xn", "probability": 0.29443359375}, {"start": 114.91, "end": 115.43, "word": "-1", "probability": 0.519683837890625}, {"start": 115.43, "end": 115.73, "word": " لأن", "probability": 0.2435302734375}, {"start": 115.73, "end": 116.25, "word": " أكبر", "probability": 0.9679361979166666}, {"start": 116.25, "end": 116.49, "word": " أو", "probability": 0.9248046875}, {"start": 116.49, "end": 117.03, "word": " يساوي", "probability": 0.9365234375}, {"start": 117.03, "end": 117.47, "word": " 1", "probability": 0.48095703125}, {"start": 117.47, "end": 118.39, "word": " لكل", "probability": 0.971435546875}, {"start": 118.39, "end": 118.59, "word": " n", "probability": 0.424072265625}, {"start": 118.59, "end": 118.87, "word": " أكبر", "probability": 0.9747721354166666}, {"start": 118.87, "end": 119.23, "word": " يساوي", "probability": 0.867919921875}, {"start": 119.23, "end": 119.51, "word": " k", "probability": 0.45703125}, {"start": 119.51, "end": 119.87, "word": " بيكون", "probability": 0.7838541666666666}, {"start": 119.87, "end": 120.01, "word": " ال", "probability": 0.8349609375}, {"start": 120.01, "end": 120.35, "word": " series", "probability": 0.693359375}, {"start": 120.35, "end": 120.59, "word": " اللي", "probability": 0.833740234375}, {"start": 120.59, "end": 120.75, "word": " هي", "probability": 0.9228515625}, {"start": 120.75, "end": 121.05, "word": " summation", "probability": 0.7783203125}, {"start": 121.05, "end": 121.63, "word": " Xn", "probability": 0.837890625}, {"start": 121.63, "end": 122.33, "word": " يشملها", "probability": 0.685546875}, {"start": 122.33, "end": 122.71, "word": " is", "probability": 0.79052734375}, {"start": 122.71, "end": 123.55, "word": " divergent", "probability": 0.858154296875}, {"start": 123.55, "end": 124.43, "word": " أخدنا", "probability": 0.96484375}, {"start": 124.43, "end": 124.97, "word": " كورولري", "probability": 0.61083984375}, {"start": 124.97, "end": 125.49, "word": " عليها", "probability": 0.984130859375}, {"start": 125.49, "end": 125.75, "word": " اللي", "probability": 0.97021484375}, {"start": 125.75, "end": 126.03, "word": " هو", "probability": 0.98876953125}, {"start": 126.03, "end": 127.19, "word": " بدل", "probability": 0.681640625}, {"start": 127.19, "end": 127.29, "word": " ما", "probability": 0.92724609375}, {"start": 127.29, "end": 127.53, "word": " على", "probability": 0.837890625}, {"start": 127.53, "end": 127.67, "word": " ال", "probability": 0.9453125}, {"start": 127.67, "end": 128.01, "word": " terms", "probability": 0.91015625}, {"start": 128.01, "end": 128.49, "word": " أخدنا", "probability": 0.9735107421875}, {"start": 128.49, "end": 128.61, "word": " ال", "probability": 0.435302734375}, {"start": 128.61, "end": 128.83, "word": " limit", "probability": 0.91943359375}, {"start": 128.83, "end": 129.01, "word": " لل", "probability": 0.79736328125}, {"start": 129.01, "end": 129.39, "word": " Xn", "probability": 0.872314453125}, {"start": 129.39, "end": 129.81, "word": "-1", "probability": 0.753173828125}, {"start": 129.81, "end": 130.15, "word": " لأن", "probability": 0.784423828125}, {"start": 130.15, "end": 130.75, "word": " اللي", "probability": 0.888671875}, {"start": 130.75, "end": 130.91, "word": " هو", "probability": 0.98291015625}, {"start": 130.91, "end": 131.11, "word": " لو", "probability": 0.95458984375}, {"start": 131.11, "end": 131.53, "word": " لجناها", "probability": 0.8529052734375}, {"start": 131.53, "end": 132.03, "word": " بتساوي", "probability": 0.9322509765625}, {"start": 132.03, "end": 132.31, "word": " R", "probability": 0.763671875}, {"start": 132.31, "end": 132.71, "word": " بيكون", "probability": 0.9454752604166666}, {"start": 132.71, "end": 132.85, "word": " ال", "probability": 0.865234375}, {"start": 132.85, "end": 133.27, "word": " summation", "probability": 0.943359375}, {"start": 133.27, "end": 133.95, "word": " absolutely", "probability": 0.59423828125}, {"start": 133.95, "end": 134.71, "word": " convergent", "probability": 0.97265625}, {"start": 134.71, "end": 135.33, "word": " لما", "probability": 0.928955078125}, {"start": 135.33, "end": 135.61, "word": " R", "probability": 0.93408203125}, {"start": 135.61, "end": 135.93, "word": " أصغر", "probability": 0.9903564453125}, {"start": 135.93, "end": 136.07, "word": " من", "probability": 0.99560546875}, {"start": 136.07, "end": 136.37, "word": " 1", "probability": 0.8310546875}, {"start": 136.37, "end": 136.77, "word": " و", "probability": 0.9697265625}, {"start": 136.77, "end": 138.29, "word": " undivergent", "probability": 0.7398274739583334}, {"start": 138.29, "end": 138.61, "word": " لما", "probability": 0.984130859375}, {"start": 138.61, "end": 138.97, "word": " R", "probability": 0.74951171875}, {"start": 138.97, "end": 139.53, "word": " أكبر", "probability": 0.984375}, {"start": 139.53, "end": 140.17, "word": " من", "probability": 0.9951171875}, {"start": 140.17, "end": 141.29, "word": " 1", "probability": 0.57763671875}], "temperature": 1.0}, {"id": 7, "seek": 16026, "start": 142.44, "end": 160.26, "text": "أو لما الـ R بتساوي واحد No conclusion بعدين اجينا أخدنا ال ratio test ال ratio test اللي هو مقارنة في داخل ال series نفسها يعني ال XN زائد واحد على XN اللي هو أصغر سوى R لجناه لكل N أكبر سوى K", "tokens": [10721, 2407, 5296, 15042, 2423, 39184, 497, 39894, 3794, 995, 45865, 36764, 24401, 883, 10063, 39182, 9957, 1975, 7435, 1829, 8315, 5551, 9778, 3215, 8315, 2423, 8509, 1500, 2423, 8509, 1500, 13672, 1829, 31439, 3714, 4587, 9640, 1863, 3660, 8978, 11778, 47283, 1211, 2423, 2638, 8717, 36178, 11296, 37495, 22653, 2423, 1783, 45, 30767, 16373, 3215, 36764, 24401, 15844, 1783, 45, 13672, 1829, 31439, 5551, 9381, 17082, 2288, 8608, 2407, 7578, 497, 5296, 7435, 8315, 3224, 5296, 28820, 426, 5551, 4117, 26890, 8608, 2407, 7578, 591], "avg_logprob": -0.27280890187997925, "compression_ratio": 1.530612244897959, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 142.44, "end": 142.68, "word": "أو", "probability": 0.61077880859375}, {"start": 142.68, "end": 142.92, "word": " لما", "probability": 0.55743408203125}, {"start": 142.92, "end": 143.48, "word": " الـ", "probability": 0.66845703125}, {"start": 143.48, "end": 143.6, "word": " R", "probability": 0.49267578125}, {"start": 143.6, "end": 144.02, "word": " بتساوي", "probability": 0.6934814453125}, {"start": 144.02, "end": 144.44, "word": " واحد", "probability": 0.82568359375}, {"start": 144.44, "end": 144.8, "word": " No", "probability": 0.0810546875}, {"start": 144.8, "end": 145.84, "word": " conclusion", "probability": 0.5654296875}, {"start": 145.84, "end": 146.96, "word": " بعدين", "probability": 0.7327880859375}, {"start": 146.96, "end": 147.26, "word": " اجينا", "probability": 0.6317138671875}, {"start": 147.26, "end": 147.64, "word": " أخدنا", "probability": 0.83203125}, {"start": 147.64, "end": 147.72, "word": " ال", "probability": 0.9560546875}, {"start": 147.72, "end": 147.96, "word": " ratio", "probability": 0.81396484375}, {"start": 147.96, "end": 148.36, "word": " test", "probability": 0.9150390625}, {"start": 148.36, "end": 148.54, "word": " ال", "probability": 0.8447265625}, {"start": 148.54, "end": 148.76, "word": " ratio", "probability": 0.9775390625}, {"start": 148.76, "end": 149.18, "word": " test", "probability": 0.9599609375}, {"start": 149.18, "end": 149.34, "word": " اللي", "probability": 0.888427734375}, {"start": 149.34, "end": 149.64, "word": " هو", "probability": 0.818359375}, {"start": 149.64, "end": 150.74, "word": " مقارنة", "probability": 0.7670654296875}, {"start": 150.74, "end": 151.0, "word": " في", "probability": 0.80615234375}, {"start": 151.0, "end": 151.48, "word": " داخل", "probability": 0.94189453125}, {"start": 151.48, "end": 151.8, "word": " ال", "probability": 0.92626953125}, {"start": 151.8, "end": 152.5, "word": " series", "probability": 0.40869140625}, {"start": 152.5, "end": 153.24, "word": " نفسها", "probability": 0.99560546875}, {"start": 153.24, "end": 153.8, "word": " يعني", "probability": 0.952392578125}, {"start": 153.8, "end": 153.98, "word": " ال", "probability": 0.8193359375}, {"start": 153.98, "end": 154.3, "word": " XN", "probability": 0.656494140625}, {"start": 154.3, "end": 154.58, "word": " زائد", "probability": 0.8387044270833334}, {"start": 154.58, "end": 154.88, "word": " واحد", "probability": 0.94482421875}, {"start": 154.88, "end": 155.02, "word": " على", "probability": 0.496337890625}, {"start": 155.02, "end": 155.48, "word": " XN", "probability": 0.92333984375}, {"start": 155.48, "end": 156.1, "word": " اللي", "probability": 0.983642578125}, {"start": 156.1, "end": 156.32, "word": " هو", "probability": 0.9794921875}, {"start": 156.32, "end": 156.74, "word": " أصغر", "probability": 0.963134765625}, {"start": 156.74, "end": 157.06, "word": " سوى", "probability": 0.61328125}, {"start": 157.06, "end": 157.28, "word": " R", "probability": 0.9384765625}, {"start": 157.28, "end": 157.96, "word": " لجناه", "probability": 0.852783203125}, {"start": 157.96, "end": 158.5, "word": " لكل", "probability": 0.898681640625}, {"start": 158.5, "end": 158.72, "word": " N", "probability": 0.7763671875}, {"start": 158.72, "end": 159.06, "word": " أكبر", "probability": 0.9747721354166666}, {"start": 159.06, "end": 159.68, "word": " سوى", "probability": 0.8767903645833334}, {"start": 159.68, "end": 160.26, "word": " K", "probability": 0.73974609375}], "temperature": 1.0}, {"id": 8, "seek": 17311, "start": 161.47, "end": 173.11, "text": "ولاقينا الار هنا أصغر من واحد فبصير ال submission للإكسان is absolutely convergent لو كانت اللي طلعت عندي هذه أكبر أو يساوى واحد بتكون ال series is divergent", "tokens": [2407, 15040, 38436, 8315, 2423, 9640, 34105, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 6156, 3555, 9381, 13546, 2423, 23689, 24976, 28814, 4117, 3794, 7649, 307, 3122, 9652, 6930, 45164, 25961, 2655, 13672, 1829, 23032, 1211, 34268, 43242, 1829, 29538, 5551, 4117, 26890, 34051, 7251, 3794, 995, 2407, 7578, 36764, 24401, 39894, 30544, 2423, 2638, 307, 18558, 6930], "avg_logprob": -0.2694650534856117, "compression_ratio": 1.4082840236686391, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 161.47, "end": 162.25, "word": "ولاقينا", "probability": 0.561859130859375}, {"start": 162.25, "end": 162.55, "word": " الار", "probability": 0.5269775390625}, {"start": 162.55, "end": 162.83, "word": " هنا", "probability": 0.80810546875}, {"start": 162.83, "end": 163.31, "word": " أصغر", "probability": 0.9510498046875}, {"start": 163.31, "end": 163.47, "word": " من", "probability": 0.9892578125}, {"start": 163.47, "end": 163.85, "word": " واحد", "probability": 0.9287109375}, {"start": 163.85, "end": 164.39, "word": " فبصير", "probability": 0.7969970703125}, {"start": 164.39, "end": 164.51, "word": " ال", "probability": 0.7783203125}, {"start": 164.51, "end": 164.85, "word": " submission", "probability": 0.285888671875}, {"start": 164.85, "end": 165.43, "word": " للإكسان", "probability": 0.8474609375}, {"start": 165.43, "end": 165.63, "word": " is", "probability": 0.44921875}, {"start": 165.63, "end": 166.29, "word": " absolutely", "probability": 0.64208984375}, {"start": 166.29, "end": 167.43, "word": " convergent", "probability": 0.94921875}, {"start": 167.43, "end": 167.95, "word": " لو", "probability": 0.86767578125}, {"start": 167.95, "end": 168.37, "word": " كانت", "probability": 0.972412109375}, {"start": 168.37, "end": 168.49, "word": " اللي", "probability": 0.906005859375}, {"start": 168.49, "end": 168.89, "word": " طلعت", "probability": 0.9871419270833334}, {"start": 168.89, "end": 169.23, "word": " عندي", "probability": 0.54443359375}, {"start": 169.23, "end": 169.45, "word": " هذه", "probability": 0.7724609375}, {"start": 169.45, "end": 169.87, "word": " أكبر", "probability": 0.9625651041666666}, {"start": 169.87, "end": 170.03, "word": " أو", "probability": 0.828125}, {"start": 170.03, "end": 170.47, "word": " يساوى", "probability": 0.76943359375}, {"start": 170.47, "end": 170.71, "word": " واحد", "probability": 0.914306640625}, {"start": 170.71, "end": 171.05, "word": " بتكون", "probability": 0.6336669921875}, {"start": 171.05, "end": 171.17, "word": " ال", "probability": 0.921875}, {"start": 171.17, "end": 171.67, "word": " series", "probability": 0.91455078125}, {"start": 171.67, "end": 172.41, "word": " is", "probability": 0.94189453125}, {"start": 172.41, "end": 173.11, "word": " divergent", "probability": 0.9140625}], "temperature": 1.0}, {"id": 9, "seek": 19183, "start": 173.95, "end": 191.83, "text": "هذا حكيناه المرة الماضية وقلنا برضه اللي هو في عندي Corollary لو كان أخدنا limit للإكسان زياد واحد للإكسان لقناه بسوء R الآن حسب اللي هي R ده كانت R أكبر من واحد اللي هو عبارة عن Convergent ولو كانت R أكبر من واحد بتكون Divergent وعند R بسوء واحد ال test فعل", "tokens": [3224, 15730, 11331, 4117, 1829, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 4032, 4587, 1211, 8315, 4724, 43042, 3224, 13672, 1829, 31439, 8978, 18871, 16254, 3925, 1833, 822, 45164, 25961, 5551, 9778, 3215, 8315, 4948, 24976, 28814, 4117, 3794, 7649, 30767, 1829, 18513, 36764, 24401, 24976, 28814, 4117, 3794, 7649, 5296, 4587, 8315, 3224, 4724, 3794, 2407, 38207, 497, 6024, 48506, 11331, 35457, 13672, 1829, 39896, 497, 11778, 3224, 25961, 2655, 497, 5551, 4117, 26890, 9154, 36764, 24401, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 2656, 331, 6930, 4032, 1211, 2407, 25961, 2655, 497, 5551, 4117, 26890, 9154, 36764, 24401, 39894, 30544, 413, 1837, 6930, 4032, 3615, 41260, 497, 4724, 3794, 2407, 38207, 36764, 24401, 2423, 1500, 6156, 30241], "avg_logprob": -0.18969524990428577, "compression_ratio": 1.8839285714285714, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 173.95, "end": 174.27, "word": "هذا", "probability": 0.715576171875}, {"start": 174.27, "end": 174.67, "word": " حكيناه", "probability": 0.8224609375}, {"start": 174.67, "end": 174.91, "word": " المرة", "probability": 0.912353515625}, {"start": 174.91, "end": 175.29, "word": " الماضية", "probability": 0.9684244791666666}, {"start": 175.29, "end": 175.65, "word": " وقلنا", "probability": 0.7947998046875}, {"start": 175.65, "end": 176.05, "word": " برضه", "probability": 0.9689127604166666}, {"start": 176.05, "end": 176.29, "word": " اللي", "probability": 0.887939453125}, {"start": 176.29, "end": 176.57, "word": " هو", "probability": 0.9091796875}, {"start": 176.57, "end": 176.93, "word": " في", "probability": 0.853515625}, {"start": 176.93, "end": 177.31, "word": " عندي", "probability": 0.5235595703125}, {"start": 177.31, "end": 177.85, "word": " Corollary", "probability": 0.7600911458333334}, {"start": 177.85, "end": 178.29, "word": " لو", "probability": 0.7978515625}, {"start": 178.29, "end": 178.57, "word": " كان", "probability": 0.916015625}, {"start": 178.57, "end": 178.97, "word": " أخدنا", "probability": 0.9527587890625}, {"start": 178.97, "end": 179.33, "word": " limit", "probability": 0.6103515625}, {"start": 179.33, "end": 179.81, "word": " للإكسان", "probability": 0.85341796875}, {"start": 179.81, "end": 180.09, "word": " زياد", "probability": 0.7421875}, {"start": 180.09, "end": 180.29, "word": " واحد", "probability": 0.85888671875}, {"start": 180.29, "end": 180.73, "word": " للإكسان", "probability": 0.8796875}, {"start": 180.73, "end": 181.13, "word": " لقناه", "probability": 0.739013671875}, {"start": 181.13, "end": 181.51, "word": " بسوء", "probability": 0.745849609375}, {"start": 181.51, "end": 181.91, "word": " R", "probability": 0.71435546875}, {"start": 181.91, "end": 182.63, "word": " الآن", "probability": 0.62744140625}, {"start": 182.63, "end": 183.09, "word": " حسب", "probability": 0.98193359375}, {"start": 183.09, "end": 183.23, "word": " اللي", "probability": 0.973876953125}, {"start": 183.23, "end": 183.39, "word": " هي", "probability": 0.83642578125}, {"start": 183.39, "end": 183.65, "word": " R", "probability": 0.61767578125}, {"start": 183.65, "end": 183.83, "word": " ده", "probability": 0.866455078125}, {"start": 183.83, "end": 184.13, "word": " كانت", "probability": 0.9658203125}, {"start": 184.13, "end": 184.31, "word": " R", "probability": 0.63427734375}, {"start": 184.31, "end": 184.47, "word": " أكبر", "probability": 0.7220052083333334}, {"start": 184.47, "end": 184.67, "word": " من", "probability": 0.990234375}, {"start": 184.67, "end": 185.09, "word": " واحد", "probability": 0.900390625}, {"start": 185.09, "end": 185.41, "word": " اللي", "probability": 0.980224609375}, {"start": 185.41, "end": 185.67, "word": " هو", "probability": 0.9775390625}, {"start": 185.67, "end": 186.63, "word": " عبارة", "probability": 0.99560546875}, {"start": 186.63, "end": 186.83, "word": " عن", "probability": 0.9912109375}, {"start": 186.83, "end": 187.51, "word": " Convergent", "probability": 0.77734375}, {"start": 187.51, "end": 187.77, "word": " ولو", "probability": 0.80224609375}, {"start": 187.77, "end": 188.11, "word": " كانت", "probability": 0.954345703125}, {"start": 188.11, "end": 188.23, "word": " R", "probability": 0.9794921875}, {"start": 188.23, "end": 188.55, "word": " أكبر", "probability": 0.9793294270833334}, {"start": 188.55, "end": 188.67, "word": " من", "probability": 0.99462890625}, {"start": 188.67, "end": 188.93, "word": " واحد", "probability": 0.994873046875}, {"start": 188.93, "end": 189.25, "word": " بتكون", "probability": 0.874755859375}, {"start": 189.25, "end": 189.83, "word": " Divergent", "probability": 0.9181315104166666}, {"start": 189.83, "end": 190.11, "word": " وعند", "probability": 0.8994140625}, {"start": 190.11, "end": 190.25, "word": " R", "probability": 0.919921875}, {"start": 190.25, "end": 190.71, "word": " بسوء", "probability": 0.9189453125}, {"start": 190.71, "end": 190.97, "word": " واحد", "probability": 0.986572265625}, {"start": 190.97, "end": 191.13, "word": " ال", "probability": 0.71337890625}, {"start": 191.13, "end": 191.43, "word": " test", "probability": 0.90478515625}, {"start": 191.43, "end": 191.83, "word": " فعل", "probability": 0.678955078125}], "temperature": 1.0}, {"id": 10, "seek": 20471, "start": 192.39, "end": 204.71, "text": "الآن أوصلنا لعند مين لعند الـ Integral Test وخلّينا اليوم اللي هو نبحث في اللي هو الـ Integral Test ونشوف كيف نبرهن اللي هو الـ Integral Test ونشوف إيش هو", "tokens": [6027, 148, 48506, 34051, 36520, 8315, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 2423, 39184, 23894, 304, 9279, 4032, 9778, 1211, 11703, 1829, 8315, 45595, 20498, 13672, 1829, 31439, 8717, 49628, 12984, 8978, 13672, 1829, 31439, 2423, 39184, 23894, 304, 9279, 4032, 1863, 8592, 38688, 9122, 33911, 8717, 26890, 3224, 1863, 13672, 1829, 31439, 2423, 39184, 23894, 304, 9279, 4032, 1863, 8592, 38688, 11933, 1829, 8592, 31439], "avg_logprob": -0.18365036491034686, "compression_ratio": 1.786764705882353, "no_speech_prob": 0.0, "words": [{"start": 192.39, "end": 192.77, "word": "الآن", "probability": 0.5450032552083334}, {"start": 192.77, "end": 193.23, "word": " أوصلنا", "probability": 0.8883463541666666}, {"start": 193.23, "end": 193.55, "word": " لعند", "probability": 0.8917643229166666}, {"start": 193.55, "end": 194.05, "word": " مين", "probability": 0.744140625}, {"start": 194.05, "end": 194.69, "word": " لعند", "probability": 0.7642415364583334}, {"start": 194.69, "end": 195.05, "word": " الـ", "probability": 0.84814453125}, {"start": 195.05, "end": 195.55, "word": " Integral", "probability": 0.68896484375}, {"start": 195.55, "end": 195.93, "word": " Test", "probability": 0.73193359375}, {"start": 195.93, "end": 196.47, "word": " وخلّينا", "probability": 0.8126627604166666}, {"start": 196.47, "end": 196.83, "word": " اليوم", "probability": 0.93798828125}, {"start": 196.83, "end": 196.99, "word": " اللي", "probability": 0.921630859375}, {"start": 196.99, "end": 197.15, "word": " هو", "probability": 0.99169921875}, {"start": 197.15, "end": 197.89, "word": " نبحث", "probability": 0.9850260416666666}, {"start": 197.89, "end": 198.15, "word": " في", "probability": 0.91650390625}, {"start": 198.15, "end": 198.55, "word": " اللي", "probability": 0.94775390625}, {"start": 198.55, "end": 198.81, "word": " هو", "probability": 0.98486328125}, {"start": 198.81, "end": 199.15, "word": " الـ", "probability": 0.880126953125}, {"start": 199.15, "end": 199.45, "word": " Integral", "probability": 0.71142578125}, {"start": 199.45, "end": 199.71, "word": " Test", "probability": 0.89013671875}, {"start": 199.71, "end": 200.21, "word": " ونشوف", "probability": 0.9569091796875}, {"start": 200.21, "end": 200.93, "word": " كيف", "probability": 0.981689453125}, {"start": 200.93, "end": 201.63, "word": " نبرهن", "probability": 0.947998046875}, {"start": 201.63, "end": 201.87, "word": " اللي", "probability": 0.98583984375}, {"start": 201.87, "end": 202.23, "word": " هو", "probability": 0.99609375}, {"start": 202.23, "end": 202.71, "word": " الـ", "probability": 0.94189453125}, {"start": 202.71, "end": 203.33, "word": " Integral", "probability": 0.71240234375}, {"start": 203.33, "end": 203.77, "word": " Test", "probability": 0.89599609375}, {"start": 203.77, "end": 204.33, "word": " ونشوف", "probability": 0.97802734375}, {"start": 204.33, "end": 204.53, "word": " إيش", "probability": 0.759765625}, {"start": 204.53, "end": 204.71, "word": " هو", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 11, "seek": 22916, "start": 205.32, "end": 229.16, "text": "الأن خلّوكوا معنا الانتجرال تست الـ 927 let F be a positive decreasing function on T, T أكبر سوء واحد يعني الـ F عبارة عن positive و decreasing function يعني فوق اللي هو الـ X-axis و decreasing عالمين على الفترة من واحد إلى ما لا نهاية", "tokens": [6027, 33456, 16490, 1211, 11703, 2407, 4117, 14407, 20449, 8315, 2423, 7649, 2655, 7435, 2288, 6027, 6055, 14851, 2423, 39184, 1722, 10076, 718, 479, 312, 257, 3353, 23223, 2445, 322, 314, 11, 314, 5551, 4117, 26890, 8608, 2407, 38207, 36764, 24401, 37495, 22653, 2423, 39184, 479, 6225, 3555, 9640, 3660, 18871, 3353, 4032, 23223, 2445, 37495, 22653, 6156, 30543, 13672, 1829, 31439, 2423, 39184, 1783, 12, 24633, 4032, 23223, 6225, 45340, 9957, 15844, 27188, 2655, 25720, 9154, 36764, 24401, 30731, 19446, 20193, 8717, 11296, 10632], "avg_logprob": -0.2696221027263375, "compression_ratio": 1.508849557522124, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 205.32, "end": 205.74, "word": "الأن", "probability": 0.30377197265625}, {"start": 205.74, "end": 207.14, "word": " خلّوكوا", "probability": 0.7342936197916666}, {"start": 207.14, "end": 207.44, "word": " معنا", "probability": 0.954833984375}, {"start": 207.44, "end": 209.82, "word": " الانتجرال", "probability": 0.7526448567708334}, {"start": 209.82, "end": 210.24, "word": " تست", "probability": 0.644775390625}, {"start": 210.24, "end": 211.72, "word": " الـ", "probability": 0.5389404296875}, {"start": 211.72, "end": 212.4, "word": " 927", "probability": 0.6016845703125}, {"start": 212.4, "end": 213.28, "word": " let", "probability": 0.273681640625}, {"start": 213.28, "end": 213.56, "word": " F", "probability": 0.529296875}, {"start": 213.56, "end": 213.74, "word": " be", "probability": 0.5771484375}, {"start": 213.74, "end": 213.94, "word": " a", "probability": 0.88134765625}, {"start": 213.94, "end": 214.32, "word": " positive", "probability": 0.92626953125}, {"start": 214.32, "end": 215.0, "word": " decreasing", "probability": 0.88134765625}, {"start": 215.0, "end": 215.66, "word": " function", "probability": 0.96533203125}, {"start": 215.66, "end": 216.14, "word": " on", "probability": 0.88525390625}, {"start": 216.14, "end": 216.74, "word": " T,", "probability": 0.90087890625}, {"start": 216.8, "end": 217.06, "word": " T", "probability": 0.7705078125}, {"start": 217.06, "end": 217.34, "word": " أكبر", "probability": 0.9064127604166666}, {"start": 217.34, "end": 217.6, "word": " سوء", "probability": 0.7003580729166666}, {"start": 217.6, "end": 217.96, "word": " واحد", "probability": 0.962890625}, {"start": 217.96, "end": 218.62, "word": " يعني", "probability": 0.834716796875}, {"start": 218.62, "end": 218.8, "word": " الـ", "probability": 0.765869140625}, {"start": 218.8, "end": 218.98, "word": " F", "probability": 0.83056640625}, {"start": 218.98, "end": 219.4, "word": " عبارة", "probability": 0.991455078125}, {"start": 219.4, "end": 219.68, "word": " عن", "probability": 0.99560546875}, {"start": 219.68, "end": 220.46, "word": " positive", "probability": 0.83984375}, {"start": 220.46, "end": 220.76, "word": " و", "probability": 0.95068359375}, {"start": 220.76, "end": 221.22, "word": " decreasing", "probability": 0.9716796875}, {"start": 221.22, "end": 221.74, "word": " function", "probability": 0.970703125}, {"start": 221.74, "end": 222.08, "word": " يعني", "probability": 0.941650390625}, {"start": 222.08, "end": 222.44, "word": " فوق", "probability": 0.976806640625}, {"start": 222.44, "end": 222.6, "word": " اللي", "probability": 0.917236328125}, {"start": 222.6, "end": 222.92, "word": " هو", "probability": 0.99169921875}, {"start": 222.92, "end": 223.46, "word": " الـ", "probability": 0.71240234375}, {"start": 223.46, "end": 224.12, "word": " X", "probability": 0.73828125}, {"start": 224.12, "end": 224.54, "word": "-axis", "probability": 0.625}, {"start": 224.54, "end": 224.72, "word": " و", "probability": 0.943359375}, {"start": 224.72, "end": 225.26, "word": " decreasing", "probability": 0.95654296875}, {"start": 225.26, "end": 226.6, "word": " عالمين", "probability": 0.7666015625}, {"start": 226.6, "end": 226.78, "word": " على", "probability": 0.6416015625}, {"start": 226.78, "end": 227.18, "word": " الفترة", "probability": 0.93798828125}, {"start": 227.18, "end": 227.4, "word": " من", "probability": 0.9921875}, {"start": 227.4, "end": 227.92, "word": " واحد", "probability": 0.92236328125}, {"start": 227.92, "end": 228.18, "word": " إلى", "probability": 0.947265625}, {"start": 228.18, "end": 228.46, "word": " ما", "probability": 0.47265625}, {"start": 228.46, "end": 228.58, "word": " لا", "probability": 0.92333984375}, {"start": 228.58, "end": 229.16, "word": " نهاية", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 12, "seek": 24701, "start": 229.63, "end": 247.01, "text": "العنوان ثم السيريز الصممشن للأف أن تتعامل إذا أنتقلت من واحد إلى نهاية f of t dt بساوة limit من واحد عند n as n goes to infinity f of t dt exists", "tokens": [6027, 3615, 1863, 2407, 7649, 38637, 2304, 21136, 13546, 1829, 11622, 2423, 9381, 2304, 2304, 8592, 1863, 24976, 10721, 5172, 14739, 6055, 2655, 3615, 10943, 1211, 11933, 15730, 14739, 2655, 4587, 1211, 2655, 9154, 36764, 24401, 30731, 8717, 11296, 10632, 283, 295, 256, 36423, 4724, 3794, 995, 2407, 3660, 4948, 9154, 36764, 24401, 43242, 297, 382, 297, 1709, 281, 13202, 283, 295, 256, 36423, 8198], "avg_logprob": -0.6633522790489774, "compression_ratio": 1.3821656050955413, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 229.63, "end": 230.25, "word": "العنوان", "probability": 0.588916015625}, {"start": 230.25, "end": 230.53, "word": " ثم", "probability": 0.416656494140625}, {"start": 230.53, "end": 231.11, "word": " السيريز", "probability": 0.687225341796875}, {"start": 231.11, "end": 231.77, "word": " الصممشن", "probability": 0.6281331380208334}, {"start": 231.77, "end": 232.25, "word": " للأف", "probability": 0.6470540364583334}, {"start": 232.25, "end": 232.43, "word": " أن", "probability": 0.11041259765625}, {"start": 232.43, "end": 233.35, "word": " تتعامل", "probability": 0.5168212890625}, {"start": 233.35, "end": 236.53, "word": " إذا", "probability": 0.7041015625}, {"start": 236.53, "end": 238.71, "word": " أنتقلت", "probability": 0.47535400390625}, {"start": 238.71, "end": 238.79, "word": " من", "probability": 0.09295654296875}, {"start": 238.79, "end": 240.41, "word": " واحد", "probability": 0.57769775390625}, {"start": 240.41, "end": 240.57, "word": " إلى", "probability": 0.30078125}, {"start": 240.57, "end": 241.07, "word": " نهاية", "probability": 0.8336588541666666}, {"start": 241.07, "end": 241.23, "word": " f", "probability": 0.2191162109375}, {"start": 241.23, "end": 241.39, "word": " of", "probability": 0.10443115234375}, {"start": 241.39, "end": 241.57, "word": " t", "probability": 0.48779296875}, {"start": 241.57, "end": 241.83, "word": " dt", "probability": 0.46044921875}, {"start": 241.83, "end": 242.23, "word": " بساوة", "probability": 0.61728515625}, {"start": 242.23, "end": 242.57, "word": " limit", "probability": 0.2003173828125}, {"start": 242.57, "end": 243.17, "word": " من", "probability": 0.4208984375}, {"start": 243.17, "end": 243.53, "word": " واحد", "probability": 0.969970703125}, {"start": 243.53, "end": 243.85, "word": " عند", "probability": 0.55126953125}, {"start": 243.85, "end": 244.05, "word": " n", "probability": 0.45556640625}, {"start": 244.05, "end": 244.25, "word": " as", "probability": 0.65380859375}, {"start": 244.25, "end": 244.43, "word": " n", "probability": 0.68310546875}, {"start": 244.43, "end": 244.57, "word": " goes", "probability": 0.58984375}, {"start": 244.57, "end": 244.75, "word": " to", "probability": 0.92724609375}, {"start": 244.75, "end": 245.25, "word": " infinity", "probability": 0.8408203125}, {"start": 245.25, "end": 245.51, "word": " f", "probability": 0.71044921875}, {"start": 245.51, "end": 245.67, "word": " of", "probability": 0.92138671875}, {"start": 245.67, "end": 245.83, "word": " t", "probability": 0.9677734375}, {"start": 245.83, "end": 246.17, "word": " dt", "probability": 0.97265625}, {"start": 246.17, "end": 247.01, "word": " exists", "probability": 0.489013671875}], "temperature": 1.0}, {"id": 13, "seek": 27043, "start": 247.59, "end": 270.43, "text": "إذن الآن وكأنه حولنا الحديث من ال convergence اللي هو series إلى convergence of proper integral يعني الآن بنقول إن ال series هذه summation f of n converges إذا وفقط إذا كان ال proper integral من 1 إلى ملا نهاية ال f of dt is convergent", "tokens": [28814, 8848, 1863, 6024, 48506, 4032, 4117, 33456, 3224, 11331, 12610, 8315, 21542, 16254, 12984, 9154, 2423, 32181, 13672, 1829, 31439, 2638, 30731, 32181, 295, 2296, 11573, 37495, 22653, 6024, 48506, 44945, 39648, 36145, 2423, 2638, 29538, 28811, 283, 295, 297, 9652, 2880, 11933, 15730, 4032, 5172, 47432, 11933, 15730, 25961, 2423, 2296, 11573, 9154, 502, 30731, 3714, 15040, 8717, 11296, 10632, 2423, 283, 295, 36423, 307, 9652, 6930], "avg_logprob": -0.30535712880747656, "compression_ratio": 1.671875, "no_speech_prob": 0.0, "words": [{"start": 247.59, "end": 247.95, "word": "إذن", "probability": 0.53662109375}, {"start": 247.95, "end": 248.39, "word": " الآن", "probability": 0.751953125}, {"start": 248.39, "end": 248.97, "word": " وكأنه", "probability": 0.8402099609375}, {"start": 248.97, "end": 249.57, "word": " حولنا", "probability": 0.9130859375}, {"start": 249.57, "end": 250.69, "word": " الحديث", "probability": 0.9920247395833334}, {"start": 250.69, "end": 251.11, "word": " من", "probability": 0.95166015625}, {"start": 251.11, "end": 251.37, "word": " ال", "probability": 0.73779296875}, {"start": 251.37, "end": 252.01, "word": " convergence", "probability": 0.5263671875}, {"start": 252.01, "end": 252.57, "word": " اللي", "probability": 0.873046875}, {"start": 252.57, "end": 252.93, "word": " هو", "probability": 0.8505859375}, {"start": 252.93, "end": 253.53, "word": " series", "probability": 0.642578125}, {"start": 253.53, "end": 253.91, "word": " إلى", "probability": 0.86669921875}, {"start": 253.91, "end": 255.01, "word": " convergence", "probability": 0.9892578125}, {"start": 255.01, "end": 255.49, "word": " of", "probability": 0.96826171875}, {"start": 255.49, "end": 255.91, "word": " proper", "probability": 0.3203125}, {"start": 255.91, "end": 256.57, "word": " integral", "probability": 0.8515625}, {"start": 256.57, "end": 257.47, "word": " يعني", "probability": 0.9091796875}, {"start": 257.47, "end": 257.81, "word": " الآن", "probability": 0.8701171875}, {"start": 257.81, "end": 258.39, "word": " بنقول", "probability": 0.858154296875}, {"start": 258.39, "end": 258.71, "word": " إن", "probability": 0.6455078125}, {"start": 258.71, "end": 259.01, "word": " ال", "probability": 0.5732421875}, {"start": 259.01, "end": 259.51, "word": " series", "probability": 0.869140625}, {"start": 259.51, "end": 260.07, "word": " هذه", "probability": 0.81982421875}, {"start": 260.07, "end": 260.83, "word": " summation", "probability": 0.681640625}, {"start": 260.83, "end": 261.21, "word": " f", "probability": 0.16748046875}, {"start": 261.21, "end": 261.45, "word": " of", "probability": 0.52783203125}, {"start": 261.45, "end": 261.69, "word": " n", "probability": 0.8544921875}, {"start": 261.69, "end": 262.51, "word": " converges", "probability": 0.6181640625}, {"start": 262.51, "end": 262.85, "word": " إذا", "probability": 0.9833984375}, {"start": 262.85, "end": 263.37, "word": " وفقط", "probability": 0.8772786458333334}, {"start": 263.37, "end": 263.85, "word": " إذا", "probability": 0.987548828125}, {"start": 263.85, "end": 264.35, "word": " كان", "probability": 0.673828125}, {"start": 264.35, "end": 264.57, "word": " ال", "probability": 0.6259765625}, {"start": 264.57, "end": 265.05, "word": " proper", "probability": 0.433349609375}, {"start": 265.05, "end": 265.77, "word": " integral", "probability": 0.8935546875}, {"start": 265.77, "end": 265.97, "word": " من", "probability": 0.97998046875}, {"start": 265.97, "end": 266.29, "word": " 1", "probability": 0.619140625}, {"start": 266.29, "end": 266.53, "word": " إلى", "probability": 0.89892578125}, {"start": 266.53, "end": 266.79, "word": " ملا", "probability": 0.5565185546875}, {"start": 266.79, "end": 267.17, "word": " نهاية", "probability": 0.8551432291666666}, {"start": 267.17, "end": 267.31, "word": " ال", "probability": 0.27783203125}, {"start": 267.31, "end": 267.47, "word": " f", "probability": 0.36572265625}, {"start": 267.47, "end": 267.65, "word": " of", "probability": 0.274658203125}, {"start": 267.65, "end": 267.95, "word": " dt", "probability": 0.40576171875}, {"start": 267.95, "end": 269.49, "word": " is", "probability": 0.681640625}, {"start": 269.49, "end": 270.43, "word": " convergent", "probability": 0.972412109375}], "temperature": 1.0}, {"id": 14, "seek": 29870, "start": 270.84, "end": 298.7, "text": "In this case لو كان في ال convergence حادث In this case أو in the case of convergence The partial sum S and ال partial sum اللي هو sequence of partial sum زادي S and اللي بيساوي summation F of K, K من عند واحد لعند N and the sum S بيساوي ال summation لل F of K, K من عند واحد إلى ما لا نهاية satisfy the estimate التالي", "tokens": [4575, 341, 1389, 45164, 25961, 8978, 2423, 32181, 11331, 18513, 12984, 682, 341, 1389, 34051, 294, 264, 1389, 295, 32181, 440, 14641, 2408, 318, 293, 2423, 14641, 2408, 13672, 1829, 31439, 8310, 295, 14641, 2408, 30767, 995, 16254, 318, 293, 13672, 1829, 4724, 1829, 3794, 995, 45865, 28811, 479, 295, 591, 11, 591, 9154, 43242, 36764, 24401, 5296, 3615, 41260, 426, 293, 264, 2408, 318, 4724, 1829, 3794, 995, 45865, 2423, 28811, 24976, 479, 295, 591, 11, 591, 9154, 43242, 36764, 24401, 30731, 19446, 20193, 8717, 11296, 10632, 19319, 264, 12539, 16712, 6027, 1829], "avg_logprob": -0.30246709961640206, "compression_ratio": 1.7575757575757576, "no_speech_prob": 0.0, "words": [{"start": 270.84, "end": 271.12, "word": "In", "probability": 0.06402587890625}, {"start": 271.12, "end": 271.4, "word": " this", "probability": 0.931640625}, {"start": 271.4, "end": 271.78, "word": " case", "probability": 0.9326171875}, {"start": 271.78, "end": 271.96, "word": " لو", "probability": 0.80712890625}, {"start": 271.96, "end": 272.24, "word": " كان", "probability": 0.98583984375}, {"start": 272.24, "end": 272.44, "word": " في", "probability": 0.81591796875}, {"start": 272.44, "end": 272.6, "word": " ال", "probability": 0.67626953125}, {"start": 272.6, "end": 273.16, "word": " convergence", "probability": 0.87109375}, {"start": 273.16, "end": 274.2, "word": " حادث", "probability": 0.9524739583333334}, {"start": 274.2, "end": 274.44, "word": " In", "probability": 0.325927734375}, {"start": 274.44, "end": 274.76, "word": " this", "probability": 0.92333984375}, {"start": 274.76, "end": 275.38, "word": " case", "probability": 0.94482421875}, {"start": 275.38, "end": 275.84, "word": " أو", "probability": 0.5546875}, {"start": 275.84, "end": 275.94, "word": " in", "probability": 0.7587890625}, {"start": 275.94, "end": 276.08, "word": " the", "probability": 0.81201171875}, {"start": 276.08, "end": 276.32, "word": " case", "probability": 0.9560546875}, {"start": 276.32, "end": 276.46, "word": " of", "probability": 0.97119140625}, {"start": 276.46, "end": 277.34, "word": " convergence", "probability": 0.96923828125}, {"start": 277.34, "end": 278.1, "word": " The", "probability": 0.501953125}, {"start": 278.1, "end": 278.66, "word": " partial", "probability": 0.900390625}, {"start": 278.66, "end": 279.38, "word": " sum", "probability": 0.9658203125}, {"start": 279.38, "end": 279.86, "word": " S", "probability": 0.623046875}, {"start": 279.86, "end": 280.2, "word": " and", "probability": 0.5546875}, {"start": 280.2, "end": 280.42, "word": " ال", "probability": 0.66796875}, {"start": 280.42, "end": 280.68, "word": " partial", "probability": 0.80322265625}, {"start": 280.68, "end": 281.02, "word": " sum", "probability": 0.9697265625}, {"start": 281.02, "end": 281.16, "word": " اللي", "probability": 0.53778076171875}, {"start": 281.16, "end": 281.3, "word": " هو", "probability": 0.8212890625}, {"start": 281.3, "end": 281.58, "word": " sequence", "probability": 0.73486328125}, {"start": 281.58, "end": 281.8, "word": " of", "probability": 0.85595703125}, {"start": 281.8, "end": 282.06, "word": " partial", "probability": 0.93798828125}, {"start": 282.06, "end": 282.34, "word": " sum", "probability": 0.421875}, {"start": 282.34, "end": 282.82, "word": " زادي", "probability": 0.628662109375}, {"start": 282.82, "end": 283.46, "word": " S", "probability": 0.74951171875}, {"start": 283.46, "end": 283.64, "word": " and", "probability": 0.75537109375}, {"start": 283.64, "end": 283.76, "word": " اللي", "probability": 0.862060546875}, {"start": 283.76, "end": 284.26, "word": " بيساوي", "probability": 0.752685546875}, {"start": 284.26, "end": 284.84, "word": " summation", "probability": 0.59619140625}, {"start": 284.84, "end": 285.18, "word": " F", "probability": 0.438720703125}, {"start": 285.18, "end": 285.46, "word": " of", "probability": 0.84375}, {"start": 285.46, "end": 285.74, "word": " K,", "probability": 0.87939453125}, {"start": 286.18, "end": 286.3, "word": " K", "probability": 0.79638671875}, {"start": 286.3, "end": 286.42, "word": " من", "probability": 0.982421875}, {"start": 286.42, "end": 286.62, "word": " عند", "probability": 0.97314453125}, {"start": 286.62, "end": 286.9, "word": " واحد", "probability": 0.818603515625}, {"start": 286.9, "end": 287.28, "word": " لعند", "probability": 0.90234375}, {"start": 287.28, "end": 287.56, "word": " N", "probability": 0.759765625}, {"start": 287.56, "end": 288.26, "word": " and", "probability": 0.517578125}, {"start": 288.26, "end": 288.42, "word": " the", "probability": 0.412841796875}, {"start": 288.42, "end": 288.72, "word": " sum", "probability": 0.92578125}, {"start": 288.72, "end": 289.02, "word": " S", "probability": 0.9658203125}, {"start": 289.02, "end": 289.5, "word": " بيساوي", "probability": 0.9357421875}, {"start": 289.5, "end": 289.62, "word": " ال", "probability": 0.37109375}, {"start": 289.62, "end": 290.14, "word": " summation", "probability": 0.90380859375}, {"start": 290.14, "end": 291.02, "word": " لل", "probability": 0.6162109375}, {"start": 291.02, "end": 291.28, "word": " F", "probability": 0.88720703125}, {"start": 291.28, "end": 291.52, "word": " of", "probability": 0.9189453125}, {"start": 291.52, "end": 291.84, "word": " K,", "probability": 0.97900390625}, {"start": 292.26, "end": 292.42, "word": " K", "probability": 0.92041015625}, {"start": 292.42, "end": 292.58, "word": " من", "probability": 0.98681640625}, {"start": 292.58, "end": 292.84, "word": " عند", "probability": 0.98974609375}, {"start": 292.84, "end": 293.26, "word": " واحد", "probability": 0.9921875}, {"start": 293.26, "end": 293.5, "word": " إلى", "probability": 0.56591796875}, {"start": 293.5, "end": 293.7, "word": " ما", "probability": 0.49755859375}, {"start": 293.7, "end": 293.8, "word": " لا", "probability": 0.7802734375}, {"start": 293.8, "end": 294.32, "word": " نهاية", "probability": 0.9461263020833334}, {"start": 294.32, "end": 295.3, "word": " satisfy", "probability": 0.6767578125}, {"start": 295.3, "end": 295.82, "word": " the", "probability": 0.5185546875}, {"start": 295.82, "end": 297.58, "word": " estimate", "probability": 0.8037109375}, {"start": 297.58, "end": 298.7, "word": " التالي", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 15, "seek": 32073, "start": 299.29, "end": 320.73, "text": "دايمًا هنلاقي المسافة بين الـ S و الـ S N S ناقص S N هتكون أصغر أو يساوي ال integration من N إلى مالة نهاية لل F of T DT و أكبر أو يساوي ال integration من N زايد واحد لعند مالة نهاية يعني ال S minus S N S اللي هي مجموع ال series ناقص S N اللي هي عبارة عن ال partial sum من واحد لعند N", "tokens": [28259, 32640, 14111, 995, 8032, 1863, 15040, 38436, 9673, 3794, 31845, 3660, 49374, 2423, 39184, 318, 4032, 2423, 39184, 318, 426, 318, 8717, 995, 4587, 9381, 318, 426, 8032, 2655, 30544, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 10980, 9154, 426, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 24976, 479, 295, 314, 413, 51, 4032, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 10980, 9154, 426, 30767, 995, 25708, 36764, 24401, 5296, 3615, 41260, 3714, 6027, 3660, 8717, 11296, 10632, 37495, 22653, 2423, 318, 3175, 318, 426, 318, 13672, 1829, 39896, 3714, 7435, 2304, 45367, 2423, 2638, 8717, 995, 4587, 9381, 318, 426, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 14641, 2408, 9154, 36764, 24401, 5296, 3615, 41260, 426], "avg_logprob": -0.23561507640849977, "compression_ratio": 1.8632478632478633, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 299.28999999999996, "end": 299.77, "word": "دايمًا", "probability": 0.61224365234375}, {"start": 299.77, "end": 300.25, "word": " هنلاقي", "probability": 0.824462890625}, {"start": 300.25, "end": 300.95, "word": " المسافة", "probability": 0.9652099609375}, {"start": 300.95, "end": 301.17, "word": " بين", "probability": 0.86474609375}, {"start": 301.17, "end": 301.55, "word": " الـ", "probability": 0.5699462890625}, {"start": 301.55, "end": 302.31, "word": " S", "probability": 0.521484375}, {"start": 302.31, "end": 302.53, "word": " و", "probability": 0.6748046875}, {"start": 302.53, "end": 302.73, "word": " الـ", "probability": 0.58221435546875}, {"start": 302.73, "end": 302.91, "word": " S", "probability": 0.63623046875}, {"start": 302.91, "end": 303.13, "word": " N", "probability": 0.1475830078125}, {"start": 303.13, "end": 303.35, "word": " S", "probability": 0.215576171875}, {"start": 303.35, "end": 303.67, "word": " ناقص", "probability": 0.74658203125}, {"start": 303.67, "end": 303.91, "word": " S", "probability": 0.8681640625}, {"start": 303.91, "end": 304.17, "word": " N", "probability": 0.91162109375}, {"start": 304.17, "end": 304.93, "word": " هتكون", "probability": 0.8203938802083334}, {"start": 304.93, "end": 305.31, "word": " أصغر", "probability": 0.9495849609375}, {"start": 305.31, "end": 305.41, "word": " أو", "probability": 0.66357421875}, {"start": 305.41, "end": 305.61, "word": " يساوي", "probability": 0.63604736328125}, {"start": 305.61, "end": 305.71, "word": " ال", "probability": 0.9833984375}, {"start": 305.71, "end": 306.23, "word": " integration", "probability": 0.568359375}, {"start": 306.23, "end": 306.47, "word": " من", "probability": 0.939453125}, {"start": 306.47, "end": 306.65, "word": " N", "probability": 0.83984375}, {"start": 306.65, "end": 306.85, "word": " إلى", "probability": 0.947265625}, {"start": 306.85, "end": 307.11, "word": " مالة", "probability": 0.7509765625}, {"start": 307.11, "end": 307.49, "word": " نهاية", "probability": 0.8841145833333334}, {"start": 307.49, "end": 307.69, "word": " لل", "probability": 0.64013671875}, {"start": 307.69, "end": 307.85, "word": " F", "probability": 0.67236328125}, {"start": 307.85, "end": 307.99, "word": " of", "probability": 0.57470703125}, {"start": 307.99, "end": 308.17, "word": " T", "probability": 0.90478515625}, {"start": 308.17, "end": 308.63, "word": " DT", "probability": 0.57763671875}, {"start": 308.63, "end": 309.15, "word": " و", "probability": 0.5771484375}, {"start": 309.15, "end": 309.51, "word": " أكبر", "probability": 0.9462890625}, {"start": 309.51, "end": 309.65, "word": " أو", "probability": 0.97412109375}, {"start": 309.65, "end": 309.97, "word": " يساوي", "probability": 0.9600830078125}, {"start": 309.97, "end": 310.05, "word": " ال", "probability": 0.99267578125}, {"start": 310.05, "end": 310.47, "word": " integration", "probability": 0.97216796875}, {"start": 310.47, "end": 310.65, "word": " من", "probability": 0.958984375}, {"start": 310.65, "end": 310.77, "word": " N", "probability": 0.90869140625}, {"start": 310.77, "end": 311.05, "word": " زايد", "probability": 0.6887613932291666}, {"start": 311.05, "end": 312.53, "word": " واحد", "probability": 0.65380859375}, {"start": 312.53, "end": 313.01, "word": " لعند", "probability": 0.8468424479166666}, {"start": 313.01, "end": 313.47, "word": " مالة", "probability": 0.9544270833333334}, {"start": 313.47, "end": 313.85, "word": " نهاية", "probability": 0.9542643229166666}, {"start": 313.85, "end": 314.45, "word": " يعني", "probability": 0.8740234375}, {"start": 314.45, "end": 314.57, "word": " ال", "probability": 0.759765625}, {"start": 314.57, "end": 314.77, "word": " S", "probability": 0.748046875}, {"start": 314.77, "end": 315.07, "word": " minus", "probability": 0.73974609375}, {"start": 315.07, "end": 315.35, "word": " S", "probability": 0.68310546875}, {"start": 315.35, "end": 315.53, "word": " N", "probability": 0.95166015625}, {"start": 315.53, "end": 315.79, "word": " S", "probability": 0.43212890625}, {"start": 315.79, "end": 315.93, "word": " اللي", "probability": 0.789794921875}, {"start": 315.93, "end": 316.07, "word": " هي", "probability": 0.78125}, {"start": 316.07, "end": 316.43, "word": " مجموع", "probability": 0.93359375}, {"start": 316.43, "end": 316.55, "word": " ال", "probability": 0.82177734375}, {"start": 316.55, "end": 316.93, "word": " series", "probability": 0.779296875}, {"start": 316.93, "end": 317.61, "word": " ناقص", "probability": 0.9844970703125}, {"start": 317.61, "end": 317.81, "word": " S", "probability": 0.90576171875}, {"start": 317.81, "end": 317.97, "word": " N", "probability": 0.9765625}, {"start": 317.97, "end": 318.13, "word": " اللي", "probability": 0.96875}, {"start": 318.13, "end": 318.29, "word": " هي", "probability": 0.87451171875}, {"start": 318.29, "end": 318.63, "word": " عبارة", "probability": 0.9864501953125}, {"start": 318.63, "end": 318.81, "word": " عن", "probability": 0.99560546875}, {"start": 318.81, "end": 318.93, "word": " ال", "probability": 0.76318359375}, {"start": 318.93, "end": 319.37, "word": " partial", "probability": 0.80224609375}, {"start": 319.37, "end": 319.75, "word": " sum", "probability": 0.95361328125}, {"start": 319.75, "end": 319.89, "word": " من", "probability": 0.98291015625}, {"start": 319.89, "end": 320.19, "word": " واحد", "probability": 0.73828125}, {"start": 320.19, "end": 320.49, "word": " لعند", "probability": 0.9459635416666666}, {"start": 320.49, "end": 320.73, "word": " N", "probability": 0.88037109375}], "temperature": 1.0}, {"id": 16, "seek": 34714, "start": 321.44, "end": 347.14, "text": "الحاصل ترهن دائما أصغر سواء الـ integration من N إلى M لنهاية للـ F of T و أكبر أو سواء ال N زائد 1 لعيد M لنهاية هذا كله في حال أن الـ series اللي هي is convergent أو الـ improper integral is convergent خلّينا نبرهن اللي موجود الآن عندي الـ function F is positive and decreasing", "tokens": [6027, 5016, 33546, 1211, 6055, 2288, 3224, 1863, 11778, 16373, 15042, 5551, 9381, 17082, 2288, 8608, 2407, 16606, 2423, 39184, 10980, 9154, 426, 30731, 376, 5296, 1863, 11296, 10632, 24976, 39184, 479, 295, 314, 4032, 5551, 4117, 26890, 34051, 8608, 2407, 16606, 2423, 426, 30767, 16373, 3215, 502, 5296, 3615, 25708, 376, 5296, 1863, 11296, 10632, 23758, 28242, 3224, 8978, 11331, 6027, 14739, 2423, 39184, 2638, 13672, 1829, 39896, 307, 9652, 6930, 34051, 2423, 39184, 40651, 11573, 307, 9652, 6930, 16490, 1211, 11703, 1829, 8315, 8717, 26890, 3224, 1863, 13672, 1829, 3714, 29245, 23328, 6024, 48506, 18871, 16254, 2423, 39184, 2445, 479, 307, 3353, 293, 23223], "avg_logprob": -0.318925226403174, "compression_ratio": 1.5598455598455598, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 321.44, "end": 322.08, "word": "الحاصل", "probability": 0.79180908203125}, {"start": 322.08, "end": 322.56, "word": " ترهن", "probability": 0.75579833984375}, {"start": 322.56, "end": 322.88, "word": " دائما", "probability": 0.7176106770833334}, {"start": 322.88, "end": 323.18, "word": " أصغر", "probability": 0.897705078125}, {"start": 323.18, "end": 323.6, "word": " سواء", "probability": 0.590087890625}, {"start": 323.6, "end": 323.78, "word": " الـ", "probability": 0.845458984375}, {"start": 323.78, "end": 324.28, "word": " integration", "probability": 0.72998046875}, {"start": 324.28, "end": 324.6, "word": " من", "probability": 0.92333984375}, {"start": 324.6, "end": 324.78, "word": " N", "probability": 0.6259765625}, {"start": 324.78, "end": 324.92, "word": " إلى", "probability": 0.8310546875}, {"start": 324.92, "end": 325.06, "word": " M", "probability": 0.452392578125}, {"start": 325.06, "end": 325.56, "word": " لنهاية", "probability": 0.86376953125}, {"start": 325.56, "end": 325.82, "word": " للـ", "probability": 0.5443115234375}, {"start": 325.82, "end": 325.96, "word": " F", "probability": 0.5419921875}, {"start": 325.96, "end": 326.12, "word": " of", "probability": 0.5947265625}, {"start": 326.12, "end": 326.38, "word": " T", "probability": 0.9736328125}, {"start": 326.38, "end": 326.88, "word": " و", "probability": 0.426513671875}, {"start": 326.88, "end": 327.18, "word": " أكبر", "probability": 0.8474934895833334}, {"start": 327.18, "end": 327.3, "word": " أو", "probability": 0.89208984375}, {"start": 327.3, "end": 327.62, "word": " سواء", "probability": 0.88134765625}, {"start": 327.62, "end": 327.74, "word": " ال", "probability": 0.35546875}, {"start": 327.74, "end": 327.88, "word": " N", "probability": 0.646484375}, {"start": 327.88, "end": 328.16, "word": " زائد", "probability": 0.6610514322916666}, {"start": 328.16, "end": 328.44, "word": " 1", "probability": 0.60107421875}, {"start": 328.44, "end": 328.94, "word": " لعيد", "probability": 0.4691569010416667}, {"start": 328.94, "end": 329.06, "word": " M", "probability": 0.8466796875}, {"start": 329.06, "end": 329.5, "word": " لنهاية", "probability": 0.9503173828125}, {"start": 329.5, "end": 329.74, "word": " هذا", "probability": 0.78076171875}, {"start": 329.74, "end": 330.14, "word": " كله", "probability": 0.925537109375}, {"start": 330.14, "end": 330.28, "word": " في", "probability": 0.904296875}, {"start": 330.28, "end": 330.74, "word": " حال", "probability": 0.990234375}, {"start": 330.74, "end": 331.34, "word": " أن", "probability": 0.5009765625}, {"start": 331.34, "end": 331.7, "word": " الـ", "probability": 0.4638671875}, {"start": 331.7, "end": 332.14, "word": " series", "probability": 0.57666015625}, {"start": 332.14, "end": 332.42, "word": " اللي", "probability": 0.54290771484375}, {"start": 332.42, "end": 332.84, "word": " هي", "probability": 0.92529296875}, {"start": 332.84, "end": 333.3, "word": " is", "probability": 0.802734375}, {"start": 333.3, "end": 334.02, "word": " convergent", "probability": 0.9521484375}, {"start": 334.02, "end": 334.32, "word": " أو", "probability": 0.8837890625}, {"start": 334.32, "end": 334.5, "word": " الـ", "probability": 0.5252685546875}, {"start": 334.5, "end": 334.78, "word": " improper", "probability": 0.337158203125}, {"start": 334.78, "end": 335.34, "word": " integral", "probability": 0.7919921875}, {"start": 335.34, "end": 335.94, "word": " is", "probability": 0.8916015625}, {"start": 335.94, "end": 336.46, "word": " convergent", "probability": 0.9619140625}, {"start": 336.46, "end": 337.18, "word": " خلّينا", "probability": 0.76748046875}, {"start": 337.18, "end": 337.68, "word": " نبرهن", "probability": 0.8958740234375}, {"start": 337.68, "end": 338.84, "word": " اللي", "probability": 0.9384765625}, {"start": 338.84, "end": 340.24, "word": " موجود", "probability": 0.7535807291666666}, {"start": 340.24, "end": 342.3, "word": " الآن", "probability": 0.563720703125}, {"start": 342.3, "end": 343.26, "word": " عندي", "probability": 0.820068359375}, {"start": 343.26, "end": 344.84, "word": " الـ", "probability": 0.6947021484375}, {"start": 344.84, "end": 345.1, "word": " function", "probability": 0.91748046875}, {"start": 345.1, "end": 345.36, "word": " F", "probability": 0.70458984375}, {"start": 345.36, "end": 345.58, "word": " is", "probability": 0.79052734375}, {"start": 345.58, "end": 346.24, "word": " positive", "probability": 0.92041015625}, {"start": 346.24, "end": 346.56, "word": " and", "probability": 0.95166015625}, {"start": 346.56, "end": 347.14, "word": " decreasing", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 17, "seek": 36342, "start": 348.06, "end": 363.42, "text": "ماشي الحال عندي الـ function is decreasing على كل الفترة من واحد إلى ما لا نهاية يعني الآن عندي هي اللي هي من واحد الـ function من عند واحد إلى ما لا نهاية عملها اشمالها decreasing", "tokens": [2304, 33599, 1829, 21542, 6027, 18871, 16254, 2423, 39184, 2445, 307, 23223, 15844, 28242, 27188, 2655, 25720, 9154, 36764, 24401, 30731, 19446, 20193, 8717, 11296, 10632, 37495, 22653, 6024, 48506, 18871, 16254, 39896, 13672, 1829, 39896, 9154, 36764, 24401, 2423, 39184, 2445, 9154, 43242, 36764, 24401, 30731, 19446, 20193, 8717, 11296, 10632, 6225, 42213, 11296, 1975, 8592, 2304, 6027, 11296, 23223], "avg_logprob": -0.21257559883017693, "compression_ratio": 1.8636363636363635, "no_speech_prob": 5.3763389587402344e-05, "words": [{"start": 348.06, "end": 348.42, "word": "ماشي", "probability": 0.691162109375}, {"start": 348.42, "end": 348.82, "word": " الحال", "probability": 0.948974609375}, {"start": 348.82, "end": 350.52, "word": " عندي", "probability": 0.6300048828125}, {"start": 350.52, "end": 350.78, "word": " الـ", "probability": 0.697265625}, {"start": 350.78, "end": 351.1, "word": " function", "probability": 0.78173828125}, {"start": 351.1, "end": 351.38, "word": " is", "probability": 0.85498046875}, {"start": 351.38, "end": 351.94, "word": " decreasing", "probability": 0.978515625}, {"start": 351.94, "end": 352.38, "word": " على", "probability": 0.8046875}, {"start": 352.38, "end": 352.82, "word": " كل", "probability": 0.990234375}, {"start": 352.82, "end": 353.68, "word": " الفترة", "probability": 0.9847005208333334}, {"start": 353.68, "end": 354.16, "word": " من", "probability": 0.97509765625}, {"start": 354.16, "end": 354.56, "word": " واحد", "probability": 0.926513671875}, {"start": 354.56, "end": 354.78, "word": " إلى", "probability": 0.8671875}, {"start": 354.78, "end": 355.02, "word": " ما", "probability": 0.458251953125}, {"start": 355.02, "end": 355.12, "word": " لا", "probability": 0.51220703125}, {"start": 355.12, "end": 355.62, "word": " نهاية", "probability": 0.89599609375}, {"start": 355.62, "end": 356.26, "word": " يعني", "probability": 0.9013671875}, {"start": 356.26, "end": 356.58, "word": " الآن", "probability": 0.6854248046875}, {"start": 356.58, "end": 357.16, "word": " عندي", "probability": 0.86865234375}, {"start": 357.16, "end": 357.56, "word": " هي", "probability": 0.58544921875}, {"start": 357.56, "end": 358.1, "word": " اللي", "probability": 0.9365234375}, {"start": 358.1, "end": 358.32, "word": " هي", "probability": 0.72509765625}, {"start": 358.32, "end": 358.54, "word": " من", "probability": 0.9873046875}, {"start": 358.54, "end": 359.08, "word": " واحد", "probability": 0.99462890625}, {"start": 359.08, "end": 359.8, "word": " الـ", "probability": 0.6417236328125}, {"start": 359.8, "end": 360.12, "word": " function", "probability": 0.92626953125}, {"start": 360.12, "end": 360.28, "word": " من", "probability": 0.73046875}, {"start": 360.28, "end": 360.5, "word": " عند", "probability": 0.93994140625}, {"start": 360.5, "end": 360.88, "word": " واحد", "probability": 0.99609375}, {"start": 360.88, "end": 361.08, "word": " إلى", "probability": 0.9462890625}, {"start": 361.08, "end": 361.24, "word": " ما", "probability": 0.94580078125}, {"start": 361.24, "end": 361.34, "word": " لا", "probability": 0.9658203125}, {"start": 361.34, "end": 361.6, "word": " نهاية", "probability": 0.85595703125}, {"start": 361.6, "end": 362.0, "word": " عملها", "probability": 0.9669596354166666}, {"start": 362.0, "end": 362.64, "word": " اشمالها", "probability": 0.7677734375}, {"start": 362.64, "end": 363.42, "word": " decreasing", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 18, "seek": 38715, "start": 364.13, "end": 387.15, "text": "الآن بقى جبت أجسم اللي هو خلّيني أخد الفترة هذه ببدأ من عند X note بواحد X بواحد بصير اتنين اللي هي X واحد بصير مثلا X واحد وهذا X note وهذا X تلاتة اتنين X تلاتة لعند الفترة النموذجية X K و X K minus واحد و X K", "tokens": [6027, 148, 48506, 4724, 4587, 7578, 10874, 3555, 2655, 5551, 7435, 38251, 13672, 1829, 31439, 16490, 1211, 11703, 9957, 1829, 5551, 9778, 3215, 27188, 2655, 25720, 29538, 4724, 44510, 10721, 9154, 43242, 1783, 3637, 4724, 14407, 24401, 1783, 4724, 14407, 24401, 4724, 9381, 13546, 1975, 2655, 1863, 9957, 13672, 1829, 39896, 1783, 36764, 24401, 4724, 9381, 13546, 50113, 15040, 1783, 36764, 24401, 37037, 15730, 1783, 3637, 37037, 15730, 1783, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 1783, 6055, 1211, 9307, 3660, 5296, 3615, 41260, 27188, 2655, 25720, 28239, 2304, 2407, 8848, 7435, 10632, 1783, 591, 4032, 1783, 591, 3175, 36764, 24401, 4032, 1783, 591], "avg_logprob": -0.1742334930964236, "compression_ratio": 1.8756756756756756, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 364.13, "end": 364.59, "word": "الآن", "probability": 0.7069498697916666}, {"start": 364.59, "end": 364.85, "word": " بقى", "probability": 0.95556640625}, {"start": 364.85, "end": 365.11, "word": " جبت", "probability": 0.4769694010416667}, {"start": 365.11, "end": 365.65, "word": " أجسم", "probability": 0.84423828125}, {"start": 365.65, "end": 365.87, "word": " اللي", "probability": 0.955810546875}, {"start": 365.87, "end": 366.07, "word": " هو", "probability": 0.984375}, {"start": 366.07, "end": 366.45, "word": " خلّيني", "probability": 0.783984375}, {"start": 366.45, "end": 366.75, "word": " أخد", "probability": 0.7845052083333334}, {"start": 366.75, "end": 367.11, "word": " الفترة", "probability": 0.8849283854166666}, {"start": 367.11, "end": 367.43, "word": " هذه", "probability": 0.666015625}, {"start": 367.43, "end": 367.81, "word": " ببدأ", "probability": 0.9479166666666666}, {"start": 367.81, "end": 367.91, "word": " من", "probability": 0.95751953125}, {"start": 367.91, "end": 368.25, "word": " عند", "probability": 0.982421875}, {"start": 368.25, "end": 368.77, "word": " X", "probability": 0.56982421875}, {"start": 368.77, "end": 369.01, "word": " note", "probability": 0.263916015625}, {"start": 369.01, "end": 369.57, "word": " بواحد", "probability": 0.9397786458333334}, {"start": 369.57, "end": 369.87, "word": " X", "probability": 0.833984375}, {"start": 369.87, "end": 370.33, "word": " بواحد", "probability": 0.9807942708333334}, {"start": 370.33, "end": 370.71, "word": " بصير", "probability": 0.7179361979166666}, {"start": 370.71, "end": 371.29, "word": " اتنين", "probability": 0.9251708984375}, {"start": 371.29, "end": 372.21, "word": " اللي", "probability": 0.6610107421875}, {"start": 372.21, "end": 372.43, "word": " هي", "probability": 0.8330078125}, {"start": 372.43, "end": 374.61, "word": " X", "probability": 0.7265625}, {"start": 374.61, "end": 374.95, "word": " واحد", "probability": 0.982421875}, {"start": 374.95, "end": 375.61, "word": " بصير", "probability": 0.9641927083333334}, {"start": 375.61, "end": 375.99, "word": " مثلا", "probability": 0.964599609375}, {"start": 375.99, "end": 376.67, "word": " X", "probability": 0.94482421875}, {"start": 376.67, "end": 377.25, "word": " واحد", "probability": 0.9873046875}, {"start": 377.25, "end": 378.31, "word": " وهذا", "probability": 0.5947265625}, {"start": 378.31, "end": 378.53, "word": " X", "probability": 0.9736328125}, {"start": 378.53, "end": 378.95, "word": " note", "probability": 0.91552734375}, {"start": 378.95, "end": 379.23, "word": " وهذا", "probability": 0.7353515625}, {"start": 379.23, "end": 379.47, "word": " X", "probability": 0.9892578125}, {"start": 379.47, "end": 380.27, "word": " تلاتة", "probability": 0.881103515625}, {"start": 380.27, "end": 380.99, "word": " اتنين", "probability": 0.960205078125}, {"start": 380.99, "end": 381.21, "word": " X", "probability": 0.9091796875}, {"start": 381.21, "end": 381.71, "word": " تلاتة", "probability": 0.969970703125}, {"start": 381.71, "end": 381.99, "word": " لعند", "probability": 0.8776041666666666}, {"start": 381.99, "end": 382.33, "word": " الفترة", "probability": 0.9933268229166666}, {"start": 382.33, "end": 382.97, "word": " النموذجية", "probability": 0.9825846354166666}, {"start": 382.97, "end": 383.21, "word": " X", "probability": 0.95654296875}, {"start": 383.21, "end": 383.59, "word": " K", "probability": 0.338623046875}, {"start": 383.59, "end": 384.15, "word": " و", "probability": 0.90087890625}, {"start": 384.15, "end": 384.41, "word": " X", "probability": 0.83154296875}, {"start": 384.41, "end": 384.87, "word": " K", "probability": 0.8876953125}, {"start": 384.87, "end": 385.39, "word": " minus", "probability": 0.73583984375}, {"start": 385.39, "end": 385.91, "word": " واحد", "probability": 0.97265625}, {"start": 385.91, "end": 386.15, "word": " و", "probability": 0.83203125}, {"start": 386.15, "end": 386.55, "word": " X", "probability": 0.93310546875}, {"start": 386.55, "end": 387.15, "word": " K", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 19, "seek": 40602, "start": 387.68, "end": 406.02, "text": "الآن هذه الفترة بدي أخد التجزئة بعد إذنكم الـ X12 والـ X23 والـ XK-1 اللي هي عبارة عن K-1 وهذه منين؟ الـ K حر أنا بدي أجزء بالتجزئة اللي أمامي اللي هتخدمني ماشي الحال الآن على الفترة هذه", "tokens": [6027, 148, 48506, 29538, 27188, 2655, 25720, 4724, 16254, 5551, 9778, 3215, 16712, 7435, 11622, 19986, 3660, 39182, 11933, 8848, 1863, 24793, 2423, 39184, 1783, 4762, 16070, 39184, 1783, 9356, 16070, 39184, 1783, 42, 12, 16, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 591, 12, 16, 37037, 24192, 9154, 9957, 22807, 2423, 39184, 591, 11331, 2288, 41850, 4724, 16254, 5551, 7435, 11622, 38207, 20666, 2655, 7435, 11622, 19986, 3660, 13672, 1829, 5551, 2304, 10943, 1829, 13672, 1829, 8032, 2655, 9778, 40448, 22653, 3714, 33599, 1829, 21542, 6027, 6024, 48506, 15844, 27188, 2655, 25720, 29538], "avg_logprob": -0.26969399613638717, "compression_ratio": 1.8554913294797688, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 387.68, "end": 388.1, "word": "الآن", "probability": 0.5972086588541666}, {"start": 388.1, "end": 388.5, "word": " هذه", "probability": 0.84375}, {"start": 388.5, "end": 389.04, "word": " الفترة", "probability": 0.9930013020833334}, {"start": 389.04, "end": 389.54, "word": " بدي", "probability": 0.631591796875}, {"start": 389.54, "end": 389.86, "word": " أخد", "probability": 0.7189127604166666}, {"start": 389.86, "end": 390.7, "word": " التجزئة", "probability": 0.838720703125}, {"start": 390.7, "end": 391.36, "word": " بعد", "probability": 0.73388671875}, {"start": 391.36, "end": 391.94, "word": " إذنكم", "probability": 0.773529052734375}, {"start": 391.94, "end": 392.16, "word": " الـ", "probability": 0.779052734375}, {"start": 392.16, "end": 392.72, "word": " X12", "probability": 0.4315185546875}, {"start": 392.72, "end": 393.4, "word": " والـ", "probability": 0.616943359375}, {"start": 393.4, "end": 393.94, "word": " X23", "probability": 0.972900390625}, {"start": 393.94, "end": 394.6, "word": " والـ", "probability": 0.83935546875}, {"start": 394.6, "end": 395.04, "word": " XK", "probability": 0.873046875}, {"start": 395.04, "end": 395.84, "word": "-1", "probability": 0.908935546875}, {"start": 395.84, "end": 396.3, "word": " اللي", "probability": 0.70361328125}, {"start": 396.3, "end": 396.42, "word": " هي", "probability": 0.67724609375}, {"start": 396.42, "end": 396.76, "word": " عبارة", "probability": 0.97998046875}, {"start": 396.76, "end": 396.88, "word": " عن", "probability": 0.9912109375}, {"start": 396.88, "end": 397.08, "word": " K", "probability": 0.7734375}, {"start": 397.08, "end": 397.8, "word": "-1", "probability": 0.782958984375}, {"start": 397.8, "end": 398.22, "word": " وهذه", "probability": 0.681640625}, {"start": 398.22, "end": 398.74, "word": " منين؟", "probability": 0.3690592447916667}, {"start": 398.74, "end": 398.96, "word": " الـ", "probability": 0.75830078125}, {"start": 398.96, "end": 399.1, "word": " K", "probability": 0.61181640625}, {"start": 399.1, "end": 399.48, "word": " حر", "probability": 0.838134765625}, {"start": 399.48, "end": 399.72, "word": " أنا", "probability": 0.77392578125}, {"start": 399.72, "end": 400.38, "word": " بدي", "probability": 0.881591796875}, {"start": 400.38, "end": 400.78, "word": " أجزء", "probability": 0.8287353515625}, {"start": 400.78, "end": 401.56, "word": " بالتجزئة", "probability": 0.9747721354166666}, {"start": 401.56, "end": 401.78, "word": " اللي", "probability": 0.959716796875}, {"start": 401.78, "end": 402.22, "word": " أمامي", "probability": 0.9373779296875}, {"start": 402.22, "end": 402.42, "word": " اللي", "probability": 0.964111328125}, {"start": 402.42, "end": 403.22, "word": " هتخدمني", "probability": 0.89111328125}, {"start": 403.22, "end": 403.88, "word": " ماشي", "probability": 0.8427734375}, {"start": 403.88, "end": 404.22, "word": " الحال", "probability": 0.96484375}, {"start": 404.22, "end": 404.82, "word": " الآن", "probability": 0.5399169921875}, {"start": 404.82, "end": 405.06, "word": " على", "probability": 0.89208984375}, {"start": 405.06, "end": 405.54, "word": " الفترة", "probability": 0.9910481770833334}, {"start": 405.54, "end": 406.02, "word": " هذه", "probability": 0.95703125}], "temperature": 1.0}, {"id": 20, "seek": 42827, "start": 408.59, "end": 428.27, "text": "على الفترة هذه هيها عندي اللي هو هذه طولها إيه شمالها طولها بساوي واحد لإنه من K minus واحد لعند مين لعند K اللي هو و أخدت طول كل واحد أجداش عبارة عن واحد فصارت هذه عبارة عن واحد الآن بدي أدرس اللي هو هذه المنطقة و أقارنها", "tokens": [3615, 23942, 27188, 2655, 25720, 29538, 39896, 11296, 18871, 16254, 13672, 1829, 31439, 29538, 23032, 12610, 11296, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 23032, 12610, 11296, 4724, 3794, 995, 45865, 36764, 24401, 5296, 28814, 1863, 3224, 9154, 591, 3175, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 591, 13672, 1829, 31439, 4032, 5551, 9778, 3215, 2655, 23032, 12610, 28242, 36764, 24401, 5551, 7435, 3215, 33599, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 6156, 9381, 9640, 2655, 29538, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 6024, 48506, 4724, 16254, 5551, 3215, 2288, 3794, 13672, 1829, 31439, 29538, 9673, 1863, 9566, 28671, 4032, 5551, 4587, 9640, 1863, 11296], "avg_logprob": -0.13806817694143816, "compression_ratio": 2.0207253886010363, "no_speech_prob": 0.00021469593048095703, "words": [{"start": 408.59, "end": 408.93, "word": "على", "probability": 0.894287109375}, {"start": 408.93, "end": 409.31, "word": " الفترة", "probability": 0.97802734375}, {"start": 409.31, "end": 409.61, "word": " هذه", "probability": 0.8916015625}, {"start": 409.61, "end": 410.11, "word": " هيها", "probability": 0.956787109375}, {"start": 410.11, "end": 411.11, "word": " عندي", "probability": 0.787841796875}, {"start": 411.11, "end": 411.83, "word": " اللي", "probability": 0.8271484375}, {"start": 411.83, "end": 412.07, "word": " هو", "probability": 0.96240234375}, {"start": 412.07, "end": 412.39, "word": " هذه", "probability": 0.82421875}, {"start": 412.39, "end": 412.79, "word": " طولها", "probability": 0.9410807291666666}, {"start": 412.79, "end": 413.01, "word": " إيه", "probability": 0.7483723958333334}, {"start": 413.01, "end": 413.55, "word": " شمالها", "probability": 0.86029052734375}, {"start": 413.55, "end": 414.09, "word": " طولها", "probability": 0.8780924479166666}, {"start": 414.09, "end": 414.55, "word": " بساوي", "probability": 0.852294921875}, {"start": 414.55, "end": 415.01, "word": " واحد", "probability": 0.91845703125}, {"start": 415.01, "end": 415.69, "word": " لإنه", "probability": 0.847900390625}, {"start": 415.69, "end": 415.81, "word": " من", "probability": 0.9775390625}, {"start": 415.81, "end": 415.95, "word": " K", "probability": 0.32373046875}, {"start": 415.95, "end": 416.27, "word": " minus", "probability": 0.1842041015625}, {"start": 416.27, "end": 416.63, "word": " واحد", "probability": 0.9541015625}, {"start": 416.63, "end": 416.93, "word": " لعند", "probability": 0.8831380208333334}, {"start": 416.93, "end": 417.31, "word": " مين", "probability": 0.7301025390625}, {"start": 417.31, "end": 417.95, "word": " لعند", "probability": 0.94384765625}, {"start": 417.95, "end": 418.37, "word": " K", "probability": 0.943359375}, {"start": 418.37, "end": 419.19, "word": " اللي", "probability": 0.975830078125}, {"start": 419.19, "end": 419.41, "word": " هو", "probability": 0.98486328125}, {"start": 419.41, "end": 419.57, "word": " و", "probability": 0.52099609375}, {"start": 419.57, "end": 419.93, "word": " أخدت", "probability": 0.8677978515625}, {"start": 419.93, "end": 420.19, "word": " طول", "probability": 0.992919921875}, {"start": 420.19, "end": 420.43, "word": " كل", "probability": 0.96533203125}, {"start": 420.43, "end": 420.67, "word": " واحد", "probability": 0.99658203125}, {"start": 420.67, "end": 421.31, "word": " أجداش", "probability": 0.6646728515625}, {"start": 421.31, "end": 421.79, "word": " عبارة", "probability": 0.9962158203125}, {"start": 421.79, "end": 421.95, "word": " عن", "probability": 0.994140625}, {"start": 421.95, "end": 422.43, "word": " واحد", "probability": 0.992431640625}, {"start": 422.43, "end": 423.23, "word": " فصارت", "probability": 0.980224609375}, {"start": 423.23, "end": 423.39, "word": " هذه", "probability": 0.88916015625}, {"start": 423.39, "end": 423.75, "word": " عبارة", "probability": 0.9976806640625}, {"start": 423.75, "end": 423.91, "word": " عن", "probability": 0.9931640625}, {"start": 423.91, "end": 424.21, "word": " واحد", "probability": 0.994384765625}, {"start": 424.21, "end": 424.53, "word": " الآن", "probability": 0.67431640625}, {"start": 424.53, "end": 424.81, "word": " بدي", "probability": 0.707275390625}, {"start": 424.81, "end": 425.43, "word": " أدرس", "probability": 0.983642578125}, {"start": 425.43, "end": 425.95, "word": " اللي", "probability": 0.985107421875}, {"start": 425.95, "end": 426.09, "word": " هو", "probability": 0.95361328125}, {"start": 426.09, "end": 426.35, "word": " هذه", "probability": 0.9033203125}, {"start": 426.35, "end": 427.05, "word": " المنطقة", "probability": 0.9830322265625}, {"start": 427.05, "end": 427.53, "word": " و", "probability": 0.6376953125}, {"start": 427.53, "end": 428.27, "word": " أقارنها", "probability": 0.98076171875}], "temperature": 1.0}, {"id": 21, "seek": 44981, "start": 428.47, "end": 449.81, "text": "اللي هو بالمساحة الى ال F of K و F of K-1 لنشوف إيش اللي بحكي عشان أصل لللي بديه انت بيحكيه الآن لو جينا طلعنا لعند .. عند .. من عند K-1 لعند K لأن K هذه أكيد K عندي اللي هي من اتنينه طالع", "tokens": [6027, 20292, 31439, 20666, 2304, 3794, 39319, 3660, 2423, 7578, 2423, 479, 295, 591, 4032, 479, 295, 591, 12, 16, 5296, 1863, 8592, 38688, 11933, 1829, 8592, 13672, 1829, 4724, 5016, 4117, 1829, 6225, 8592, 7649, 5551, 36520, 24976, 20292, 4724, 16254, 3224, 16472, 2655, 4724, 1829, 5016, 4117, 1829, 3224, 6024, 48506, 45164, 10874, 1829, 8315, 23032, 1211, 3615, 8315, 5296, 3615, 41260, 4386, 43242, 4386, 9154, 43242, 591, 12, 16, 5296, 3615, 41260, 591, 5296, 33456, 591, 29538, 5551, 4117, 25708, 591, 43242, 1829, 13672, 1829, 39896, 9154, 1975, 2655, 1863, 9957, 3224, 23032, 6027, 3615], "avg_logprob": -0.25031566258632776, "compression_ratio": 1.7570621468926553, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 428.47, "end": 428.89, "word": "اللي", "probability": 0.70703125}, {"start": 428.89, "end": 429.01, "word": " هو", "probability": 0.982421875}, {"start": 429.01, "end": 430.05, "word": " بالمساحة", "probability": 0.902734375}, {"start": 430.05, "end": 431.19, "word": " الى", "probability": 0.441650390625}, {"start": 431.19, "end": 431.39, "word": " ال", "probability": 0.73486328125}, {"start": 431.39, "end": 431.67, "word": " F", "probability": 0.3876953125}, {"start": 431.67, "end": 431.91, "word": " of", "probability": 0.54296875}, {"start": 431.91, "end": 432.17, "word": " K", "probability": 0.82470703125}, {"start": 432.17, "end": 432.33, "word": " و", "probability": 0.64404296875}, {"start": 432.33, "end": 432.55, "word": " F", "probability": 0.455322265625}, {"start": 432.55, "end": 432.73, "word": " of", "probability": 0.92578125}, {"start": 432.73, "end": 432.87, "word": " K", "probability": 0.93798828125}, {"start": 432.87, "end": 433.65, "word": "-1", "probability": 0.514404296875}, {"start": 433.65, "end": 434.43, "word": " لنشوف", "probability": 0.845703125}, {"start": 434.43, "end": 434.63, "word": " إيش", "probability": 0.7684733072916666}, {"start": 434.63, "end": 434.77, "word": " اللي", "probability": 0.970947265625}, {"start": 434.77, "end": 435.27, "word": " بحكي", "probability": 0.9891357421875}, {"start": 435.27, "end": 437.23, "word": " عشان", "probability": 0.8748372395833334}, {"start": 437.23, "end": 437.63, "word": " أصل", "probability": 0.96142578125}, {"start": 437.63, "end": 437.97, "word": " لللي", "probability": 0.5909423828125}, {"start": 437.97, "end": 438.49, "word": " بديه", "probability": 0.6937662760416666}, {"start": 438.49, "end": 438.91, "word": " انت", "probability": 0.656005859375}, {"start": 438.91, "end": 439.81, "word": " بيحكيه", "probability": 0.6762491861979166}, {"start": 439.81, "end": 440.53, "word": " الآن", "probability": 0.6148681640625}, {"start": 440.53, "end": 440.71, "word": " لو", "probability": 0.9765625}, {"start": 440.71, "end": 440.93, "word": " جينا", "probability": 0.9620768229166666}, {"start": 440.93, "end": 441.71, "word": " طلعنا", "probability": 0.86376953125}, {"start": 441.71, "end": 442.41, "word": " لعند", "probability": 0.8463541666666666}, {"start": 442.41, "end": 442.55, "word": " ..", "probability": 0.525390625}, {"start": 442.55, "end": 442.95, "word": " عند", "probability": 0.352294921875}, {"start": 442.95, "end": 443.07, "word": " ..", "probability": 0.828125}, {"start": 443.07, "end": 443.21, "word": " من", "probability": 0.97509765625}, {"start": 443.21, "end": 443.45, "word": " عند", "probability": 0.96484375}, {"start": 443.45, "end": 443.61, "word": " K", "probability": 0.9130859375}, {"start": 443.61, "end": 444.27, "word": "-1", "probability": 0.82177734375}, {"start": 444.27, "end": 444.67, "word": " لعند", "probability": 0.9765625}, {"start": 444.67, "end": 445.01, "word": " K", "probability": 0.962890625}, {"start": 445.01, "end": 445.81, "word": " لأن", "probability": 0.58935546875}, {"start": 445.81, "end": 446.09, "word": " K", "probability": 0.92041015625}, {"start": 446.09, "end": 446.41, "word": " هذه", "probability": 0.5263671875}, {"start": 446.41, "end": 446.81, "word": " أكيد", "probability": 0.88232421875}, {"start": 446.81, "end": 447.07, "word": " K", "probability": 0.8486328125}, {"start": 447.07, "end": 447.63, "word": " عندي", "probability": 0.712158203125}, {"start": 447.63, "end": 448.19, "word": " اللي", "probability": 0.968505859375}, {"start": 448.19, "end": 448.51, "word": " هي", "probability": 0.76171875}, {"start": 448.51, "end": 448.83, "word": " من", "probability": 0.99169921875}, {"start": 448.83, "end": 449.33, "word": " اتنينه", "probability": 0.90595703125}, {"start": 449.33, "end": 449.81, "word": " طالع", "probability": 0.9894205729166666}], "temperature": 1.0}, {"id": 22, "seek": 46329, "start": 450.43, "end": 463.29, "text": "ماشي الحالة ان الفطر تبدأ من عند مين من عند واحد إلى ما لنهاية إذا عندي K بتساوى اتنين او تلاتة او اربع او خمسة ايه اللي بديها اللي هنخليني اجي المساحة تحت المنحنة هذا", "tokens": [2304, 33599, 1829, 21542, 6027, 3660, 16472, 27188, 9566, 2288, 6055, 44510, 10721, 9154, 43242, 3714, 9957, 9154, 43242, 36764, 24401, 30731, 19446, 5296, 1863, 11296, 10632, 11933, 15730, 18871, 16254, 591, 39894, 3794, 995, 2407, 7578, 1975, 2655, 1863, 9957, 1975, 2407, 6055, 1211, 9307, 3660, 1975, 2407, 1975, 25513, 3615, 1975, 2407, 16490, 2304, 3794, 3660, 1975, 1829, 3224, 13672, 1829, 4724, 16254, 11296, 13672, 1829, 8032, 1863, 9778, 1211, 9957, 1829, 1975, 7435, 1829, 9673, 3794, 39319, 3660, 6055, 33753, 9673, 1863, 5016, 1863, 3660, 23758], "avg_logprob": -0.2430555565489663, "compression_ratio": 1.7904191616766467, "no_speech_prob": 8.64267349243164e-06, "words": [{"start": 450.43, "end": 450.93, "word": "ماشي", "probability": 0.603271484375}, {"start": 450.93, "end": 451.29, "word": " الحالة", "probability": 0.8006184895833334}, {"start": 451.29, "end": 451.39, "word": " ان", "probability": 0.552734375}, {"start": 451.39, "end": 451.77, "word": " الفطر", "probability": 0.8561197916666666}, {"start": 451.77, "end": 452.31, "word": " تبدأ", "probability": 0.8421223958333334}, {"start": 452.31, "end": 452.41, "word": " من", "probability": 0.92822265625}, {"start": 452.41, "end": 452.67, "word": " عند", "probability": 0.9658203125}, {"start": 452.67, "end": 452.95, "word": " مين", "probability": 0.6707763671875}, {"start": 452.95, "end": 453.05, "word": " من", "probability": 0.515625}, {"start": 453.05, "end": 453.21, "word": " عند", "probability": 0.9482421875}, {"start": 453.21, "end": 453.49, "word": " واحد", "probability": 0.94970703125}, {"start": 453.49, "end": 453.65, "word": " إلى", "probability": 0.58056640625}, {"start": 453.65, "end": 453.77, "word": " ما", "probability": 0.666015625}, {"start": 453.77, "end": 454.37, "word": " لنهاية", "probability": 0.72247314453125}, {"start": 454.37, "end": 454.89, "word": " إذا", "probability": 0.744384765625}, {"start": 454.89, "end": 455.29, "word": " عندي", "probability": 0.81201171875}, {"start": 455.29, "end": 455.53, "word": " K", "probability": 0.436767578125}, {"start": 455.53, "end": 456.11, "word": " بتساوى", "probability": 0.68505859375}, {"start": 456.11, "end": 456.43, "word": " اتنين", "probability": 0.898193359375}, {"start": 456.43, "end": 456.67, "word": " او", "probability": 0.6844482421875}, {"start": 456.67, "end": 457.17, "word": " تلاتة", "probability": 0.9720458984375}, {"start": 457.17, "end": 457.33, "word": " او", "probability": 0.841796875}, {"start": 457.33, "end": 457.77, "word": " اربع", "probability": 0.783203125}, {"start": 457.77, "end": 457.91, "word": " او", "probability": 0.88818359375}, {"start": 457.91, "end": 458.31, "word": " خمسة", "probability": 0.9698486328125}, {"start": 458.31, "end": 458.41, "word": " ايه", "probability": 0.7843424479166666}, {"start": 458.41, "end": 458.47, "word": " اللي", "probability": 0.973388671875}, {"start": 458.47, "end": 459.01, "word": " بديها", "probability": 0.8089192708333334}, {"start": 459.01, "end": 459.83, "word": " اللي", "probability": 0.63134765625}, {"start": 459.83, "end": 460.39, "word": " هنخليني", "probability": 0.8118082682291666}, {"start": 460.39, "end": 461.31, "word": " اجي", "probability": 0.79736328125}, {"start": 461.31, "end": 462.01, "word": " المساحة", "probability": 0.96826171875}, {"start": 462.01, "end": 462.29, "word": " تحت", "probability": 0.99462890625}, {"start": 462.29, "end": 462.95, "word": " المنحنة", "probability": 0.95986328125}, {"start": 462.95, "end": 463.29, "word": " هذا", "probability": 0.75146484375}], "temperature": 1.0}, {"id": 23, "seek": 48185, "start": 464.15, "end": 481.85, "text": "المساحة تحت المنحنة هذا هو عبارة عن قيمة ال integration لل function تبعتنا هذه اللي هي decreasing من وين لو عند k نقص واحد لعند مين لعند k إذا ال integration من k minus واحد لعند k f of t dt لأن ال function positive تمثل هذه المساحة تحت المنحنة", "tokens": [45340, 3794, 39319, 3660, 6055, 33753, 9673, 1863, 5016, 1863, 3660, 23758, 31439, 6225, 3555, 9640, 3660, 18871, 12174, 32640, 3660, 2423, 10980, 24976, 2445, 6055, 3555, 34268, 8315, 29538, 13672, 1829, 39896, 23223, 9154, 4032, 9957, 45164, 43242, 350, 8717, 4587, 9381, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 350, 11933, 15730, 2423, 10980, 9154, 350, 3175, 36764, 24401, 5296, 3615, 41260, 350, 283, 295, 256, 36423, 5296, 33456, 2423, 2445, 3353, 46811, 12984, 1211, 29538, 9673, 3794, 39319, 3660, 6055, 33753, 9673, 1863, 5016, 1863, 3660], "avg_logprob": -0.22163722518345583, "compression_ratio": 1.803921568627451, "no_speech_prob": 1.1742115020751953e-05, "words": [{"start": 464.15, "end": 464.67, "word": "المساحة", "probability": 0.923828125}, {"start": 464.67, "end": 464.91, "word": " تحت", "probability": 0.976318359375}, {"start": 464.91, "end": 465.39, "word": " المنحنة", "probability": 0.8388671875}, {"start": 465.39, "end": 465.67, "word": " هذا", "probability": 0.310791015625}, {"start": 465.67, "end": 466.17, "word": " هو", "probability": 0.79736328125}, {"start": 466.17, "end": 466.61, "word": " عبارة", "probability": 0.996337890625}, {"start": 466.61, "end": 466.77, "word": " عن", "probability": 0.99560546875}, {"start": 466.77, "end": 467.17, "word": " قيمة", "probability": 0.9949544270833334}, {"start": 467.17, "end": 467.27, "word": " ال", "probability": 0.9609375}, {"start": 467.27, "end": 467.83, "word": " integration", "probability": 0.52587890625}, {"start": 467.83, "end": 468.15, "word": " لل", "probability": 0.57666015625}, {"start": 468.15, "end": 468.63, "word": " function", "probability": 0.64453125}, {"start": 468.63, "end": 469.29, "word": " تبعتنا", "probability": 0.893310546875}, {"start": 469.29, "end": 469.53, "word": " هذه", "probability": 0.68994140625}, {"start": 469.53, "end": 469.67, "word": " اللي", "probability": 0.6690673828125}, {"start": 469.67, "end": 469.81, "word": " هي", "probability": 0.8671875}, {"start": 469.81, "end": 470.43, "word": " decreasing", "probability": 0.90234375}, {"start": 470.43, "end": 471.39, "word": " من", "probability": 0.85595703125}, {"start": 471.39, "end": 471.61, "word": " وين", "probability": 0.4588623046875}, {"start": 471.61, "end": 471.81, "word": " لو", "probability": 0.45703125}, {"start": 471.81, "end": 472.37, "word": " عند", "probability": 0.5146484375}, {"start": 472.37, "end": 472.63, "word": " k", "probability": 0.36181640625}, {"start": 472.63, "end": 472.93, "word": " نقص", "probability": 0.5441080729166666}, {"start": 472.93, "end": 473.19, "word": " واحد", "probability": 0.944580078125}, {"start": 473.19, "end": 473.51, "word": " لعند", "probability": 0.7119954427083334}, {"start": 473.51, "end": 473.89, "word": " مين", "probability": 0.72705078125}, {"start": 473.89, "end": 474.33, "word": " لعند", "probability": 0.8688151041666666}, {"start": 474.33, "end": 474.59, "word": " k", "probability": 0.677734375}, {"start": 474.59, "end": 475.17, "word": " إذا", "probability": 0.6246337890625}, {"start": 475.17, "end": 475.31, "word": " ال", "probability": 0.6044921875}, {"start": 475.31, "end": 475.93, "word": " integration", "probability": 0.97705078125}, {"start": 475.93, "end": 476.15, "word": " من", "probability": 0.9521484375}, {"start": 476.15, "end": 476.31, "word": " k", "probability": 0.68359375}, {"start": 476.31, "end": 476.61, "word": " minus", "probability": 0.288330078125}, {"start": 476.61, "end": 476.91, "word": " واحد", "probability": 0.86328125}, {"start": 476.91, "end": 477.17, "word": " لعند", "probability": 0.92578125}, {"start": 477.17, "end": 477.31, "word": " k", "probability": 0.58837890625}, {"start": 477.31, "end": 477.53, "word": " f", "probability": 0.345947265625}, {"start": 477.53, "end": 477.67, "word": " of", "probability": 0.41748046875}, {"start": 477.67, "end": 477.83, "word": " t", "probability": 0.65869140625}, {"start": 477.83, "end": 478.13, "word": " dt", "probability": 0.845703125}, {"start": 478.13, "end": 478.83, "word": " لأن", "probability": 0.82666015625}, {"start": 478.83, "end": 478.95, "word": " ال", "probability": 0.89990234375}, {"start": 478.95, "end": 479.31, "word": " function", "probability": 0.927734375}, {"start": 479.31, "end": 479.81, "word": " positive", "probability": 0.9130859375}, {"start": 479.81, "end": 480.39, "word": " تمثل", "probability": 0.9803059895833334}, {"start": 480.39, "end": 480.63, "word": " هذه", "probability": 0.96728515625}, {"start": 480.63, "end": 481.05, "word": " المساحة", "probability": 0.99072265625}, {"start": 481.05, "end": 481.27, "word": " تحت", "probability": 0.99609375}, {"start": 481.27, "end": 481.85, "word": " المنحنة", "probability": 0.992578125}], "temperature": 1.0}, {"id": 24, "seek": 51044, "start": 482.4, "end": 510.44, "text": "طيب، الان لو جينا للمساحة اللي هي الان هذا طوله قيمته واحد و هذا الان قيمته لهنا F of K minus واحد المساحة هذه هيها الشكل هذا مساحته اللي هو عبارة عن مساحة المستطيل اللي طوله .. اللي عرضه واحد وطوله مين؟ F of K minus واحد الان F of K minus واحد في واحد أكيد هذه المساحة واضحة", "tokens": [9566, 1829, 3555, 12399, 2423, 7649, 45164, 10874, 1829, 8315, 5296, 19528, 3794, 39319, 3660, 13672, 1829, 39896, 2423, 7649, 23758, 23032, 12610, 3224, 12174, 32640, 47395, 36764, 24401, 4032, 23758, 2423, 7649, 12174, 32640, 47395, 46740, 8315, 479, 295, 591, 3175, 36764, 24401, 9673, 3794, 39319, 3660, 29538, 39896, 11296, 25124, 28820, 23758, 47524, 995, 33753, 3224, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 47524, 39319, 3660, 9673, 14851, 9566, 26895, 13672, 1829, 23032, 12610, 3224, 4386, 13672, 1829, 6225, 43042, 3224, 36764, 24401, 4032, 9566, 12610, 3224, 3714, 9957, 22807, 479, 295, 591, 3175, 36764, 24401, 2423, 7649, 479, 295, 591, 3175, 36764, 24401, 8978, 36764, 24401, 5551, 4117, 25708, 29538, 9673, 3794, 39319, 3660, 4032, 46958, 5016, 3660], "avg_logprob": -0.13935467310068084, "compression_ratio": 2.236714975845411, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 482.4, "end": 483.18, "word": "طيب،", "probability": 0.75360107421875}, {"start": 483.18, "end": 483.54, "word": " الان", "probability": 0.5994873046875}, {"start": 483.54, "end": 483.72, "word": " لو", "probability": 0.982421875}, {"start": 483.72, "end": 484.32, "word": " جينا", "probability": 0.783447265625}, {"start": 484.32, "end": 485.98, "word": " للمساحة", "probability": 0.9078125}, {"start": 485.98, "end": 486.26, "word": " اللي", "probability": 0.873291015625}, {"start": 486.26, "end": 486.78, "word": " هي", "probability": 0.9384765625}, {"start": 486.78, "end": 487.8, "word": " الان", "probability": 0.76904296875}, {"start": 487.8, "end": 488.06, "word": " هذا", "probability": 0.56591796875}, {"start": 488.06, "end": 488.44, "word": " طوله", "probability": 0.99072265625}, {"start": 488.44, "end": 489.18, "word": " قيمته", "probability": 0.9812825520833334}, {"start": 489.18, "end": 489.54, "word": " واحد", "probability": 0.8525390625}, {"start": 489.54, "end": 489.9, "word": " و", "probability": 0.462890625}, {"start": 489.9, "end": 490.22, "word": " هذا", "probability": 0.865234375}, {"start": 490.22, "end": 490.66, "word": " الان", "probability": 0.698974609375}, {"start": 490.66, "end": 491.14, "word": " قيمته", "probability": 0.9959309895833334}, {"start": 491.14, "end": 491.58, "word": " لهنا", "probability": 0.796875}, {"start": 491.58, "end": 491.8, "word": " F", "probability": 0.5732421875}, {"start": 491.8, "end": 492.02, "word": " of", "probability": 0.458251953125}, {"start": 492.02, "end": 492.32, "word": " K", "probability": 0.78759765625}, {"start": 492.32, "end": 493.02, "word": " minus", "probability": 0.4013671875}, {"start": 493.02, "end": 493.52, "word": " واحد", "probability": 0.89892578125}, {"start": 493.52, "end": 494.62, "word": " المساحة", "probability": 0.9766845703125}, {"start": 494.62, "end": 495.0, "word": " هذه", "probability": 0.87939453125}, {"start": 495.0, "end": 495.56, "word": " هيها", "probability": 0.63818359375}, {"start": 495.56, "end": 496.58, "word": " الشكل", "probability": 0.890869140625}, {"start": 496.58, "end": 496.82, "word": " هذا", "probability": 0.96630859375}, {"start": 496.82, "end": 497.66, "word": " مساحته", "probability": 0.82745361328125}, {"start": 497.66, "end": 498.16, "word": " اللي", "probability": 0.96630859375}, {"start": 498.16, "end": 498.28, "word": " هو", "probability": 0.96728515625}, {"start": 498.28, "end": 498.6, "word": " عبارة", "probability": 0.9925537109375}, {"start": 498.6, "end": 498.8, "word": " عن", "probability": 0.99462890625}, {"start": 498.8, "end": 499.38, "word": " مساحة", "probability": 0.9715169270833334}, {"start": 499.38, "end": 500.46, "word": " المستطيل", "probability": 0.9666748046875}, {"start": 500.46, "end": 501.24, "word": " اللي", "probability": 0.919189453125}, {"start": 501.24, "end": 501.66, "word": " طوله", "probability": 0.869140625}, {"start": 501.66, "end": 501.72, "word": " ..", "probability": 0.440673828125}, {"start": 501.72, "end": 501.84, "word": " اللي", "probability": 0.822998046875}, {"start": 501.84, "end": 502.2, "word": " عرضه", "probability": 0.9899088541666666}, {"start": 502.2, "end": 502.58, "word": " واحد", "probability": 0.99169921875}, {"start": 502.58, "end": 503.1, "word": " وطوله", "probability": 0.8929443359375}, {"start": 503.1, "end": 503.68, "word": " مين؟", "probability": 0.8356119791666666}, {"start": 503.68, "end": 503.96, "word": " F", "probability": 0.91552734375}, {"start": 503.96, "end": 504.26, "word": " of", "probability": 0.96142578125}, {"start": 504.26, "end": 504.68, "word": " K", "probability": 0.9794921875}, {"start": 504.68, "end": 505.5, "word": " minus", "probability": 0.97900390625}, {"start": 505.5, "end": 506.06, "word": " واحد", "probability": 0.977294921875}, {"start": 506.06, "end": 506.74, "word": " الان", "probability": 0.92041015625}, {"start": 506.74, "end": 507.02, "word": " F", "probability": 0.8916015625}, {"start": 507.02, "end": 507.2, "word": " of", "probability": 0.9736328125}, {"start": 507.2, "end": 507.3, "word": " K", "probability": 0.98779296875}, {"start": 507.3, "end": 507.62, "word": " minus", "probability": 0.98681640625}, {"start": 507.62, "end": 508.06, "word": " واحد", "probability": 0.992919921875}, {"start": 508.06, "end": 508.22, "word": " في", "probability": 0.93701171875}, {"start": 508.22, "end": 508.68, "word": " واحد", "probability": 0.992919921875}, {"start": 508.68, "end": 509.14, "word": " أكيد", "probability": 0.8863932291666666}, {"start": 509.14, "end": 509.38, "word": " هذه", "probability": 0.9208984375}, {"start": 509.38, "end": 509.88, "word": " المساحة", "probability": 0.98974609375}, {"start": 509.88, "end": 510.44, "word": " واضحة", "probability": 0.986083984375}], "temperature": 1.0}, {"id": 25, "seek": 52816, "start": 510.74, "end": 528.16, "text": "إنها أكبر أو يساوي ال integration اللي عندي الان او المساحة تحت المنحنة الان في المقابل لو جينا تطلعنا لأ اللي هي المساحة اللي بيمثلها F of K F of K هي طوله", "tokens": [28814, 1863, 11296, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 10980, 13672, 1829, 18871, 16254, 2423, 7649, 1975, 2407, 9673, 3794, 39319, 3660, 6055, 33753, 9673, 1863, 5016, 1863, 3660, 2423, 7649, 8978, 9673, 4587, 16758, 1211, 45164, 10874, 1829, 8315, 6055, 9566, 1211, 3615, 8315, 5296, 10721, 13672, 1829, 39896, 9673, 3794, 39319, 3660, 13672, 1829, 4724, 32640, 12984, 1211, 11296, 479, 295, 591, 479, 295, 591, 39896, 23032, 12610, 3224], "avg_logprob": -0.2115624984105428, "compression_ratio": 1.63125, "no_speech_prob": 1.5914440155029297e-05, "words": [{"start": 510.74, "end": 511.12, "word": "إنها", "probability": 0.7239583333333334}, {"start": 511.12, "end": 512.08, "word": " أكبر", "probability": 0.7109375}, {"start": 512.08, "end": 512.36, "word": " أو", "probability": 0.939453125}, {"start": 512.36, "end": 512.84, "word": " يساوي", "probability": 0.9278564453125}, {"start": 512.84, "end": 512.96, "word": " ال", "probability": 0.9580078125}, {"start": 512.96, "end": 513.52, "word": " integration", "probability": 0.4619140625}, {"start": 513.52, "end": 513.92, "word": " اللي", "probability": 0.872802734375}, {"start": 513.92, "end": 514.38, "word": " عندي", "probability": 0.7230224609375}, {"start": 514.38, "end": 515.38, "word": " الان", "probability": 0.52056884765625}, {"start": 515.38, "end": 515.58, "word": " او", "probability": 0.72265625}, {"start": 515.58, "end": 515.96, "word": " المساحة", "probability": 0.9661865234375}, {"start": 515.96, "end": 516.18, "word": " تحت", "probability": 0.989013671875}, {"start": 516.18, "end": 516.86, "word": " المنحنة", "probability": 0.87001953125}, {"start": 516.86, "end": 517.46, "word": " الان", "probability": 0.7359619140625}, {"start": 517.46, "end": 517.92, "word": " في", "probability": 0.841796875}, {"start": 517.92, "end": 518.82, "word": " المقابل", "probability": 0.993408203125}, {"start": 518.82, "end": 519.06, "word": " لو", "probability": 0.93994140625}, {"start": 519.06, "end": 519.5, "word": " جينا", "probability": 0.8204752604166666}, {"start": 519.5, "end": 520.48, "word": " تطلعنا", "probability": 0.822021484375}, {"start": 520.48, "end": 521.38, "word": " لأ", "probability": 0.64501953125}, {"start": 521.38, "end": 521.68, "word": " اللي", "probability": 0.931396484375}, {"start": 521.68, "end": 522.06, "word": " هي", "probability": 0.91357421875}, {"start": 522.06, "end": 523.5, "word": " المساحة", "probability": 0.984375}, {"start": 523.5, "end": 524.06, "word": " اللي", "probability": 0.974853515625}, {"start": 524.06, "end": 525.1, "word": " بيمثلها", "probability": 0.95166015625}, {"start": 525.1, "end": 525.64, "word": " F", "probability": 0.529296875}, {"start": 525.64, "end": 525.92, "word": " of", "probability": 0.77978515625}, {"start": 525.92, "end": 526.42, "word": " K", "probability": 0.92138671875}, {"start": 526.42, "end": 527.12, "word": " F", "probability": 0.62744140625}, {"start": 527.12, "end": 527.3, "word": " of", "probability": 0.93798828125}, {"start": 527.3, "end": 527.42, "word": " K", "probability": 0.9541015625}, {"start": 527.42, "end": 527.6, "word": " هي", "probability": 0.89599609375}, {"start": 527.6, "end": 528.16, "word": " طوله", "probability": 0.8846028645833334}], "temperature": 1.0}, {"id": 26, "seek": 55580, "start": 528.45, "end": 555.81, "text": "في مين في اللي هو واحد هذا واحد طوله هذه الآن مساحتها أكيد أصغر من مساحة مين اللي هي المساحة تحت المنحنة يعني بمعنى آخر هيكون هذه المساحة اللي هي F of K في واحد اللي هي F of K يعني أصغر بسهول integration اللي أمامي اللي عندي يعني هذا اللي هو تمام هذا اللي أنا مسميها تسعة أو تمانية أو اللي هي هذه هيكون عندي المساحة", "tokens": [41185, 3714, 9957, 8978, 13672, 1829, 31439, 36764, 24401, 23758, 36764, 24401, 23032, 12610, 3224, 29538, 6024, 48506, 47524, 39319, 2655, 11296, 5551, 4117, 25708, 5551, 9381, 17082, 2288, 9154, 47524, 39319, 3660, 3714, 9957, 13672, 1829, 39896, 9673, 3794, 39319, 3660, 6055, 33753, 9673, 1863, 5016, 1863, 3660, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 39896, 30544, 29538, 9673, 3794, 39319, 3660, 13672, 1829, 39896, 479, 295, 591, 8978, 36764, 24401, 13672, 1829, 39896, 479, 295, 591, 37495, 22653, 5551, 9381, 17082, 2288, 4724, 3794, 3224, 12610, 10980, 13672, 1829, 5551, 2304, 10943, 1829, 13672, 1829, 18871, 16254, 37495, 22653, 23758, 13672, 1829, 31439, 46811, 10943, 23758, 13672, 1829, 41850, 3714, 38251, 1829, 11296, 6055, 3794, 27884, 34051, 46811, 7649, 10632, 34051, 13672, 1829, 39896, 29538, 39896, 30544, 43242, 1829, 9673, 3794, 39319, 3660], "avg_logprob": -0.15647644819556802, "compression_ratio": 2.3191489361702127, "no_speech_prob": 3.039836883544922e-06, "words": [{"start": 528.45, "end": 528.79, "word": "في", "probability": 0.393310546875}, {"start": 528.79, "end": 529.33, "word": " مين", "probability": 0.5684814453125}, {"start": 529.33, "end": 529.71, "word": " في", "probability": 0.304931640625}, {"start": 529.71, "end": 530.15, "word": " اللي", "probability": 0.6634521484375}, {"start": 530.15, "end": 530.39, "word": " هو", "probability": 0.97412109375}, {"start": 530.39, "end": 530.87, "word": " واحد", "probability": 0.918212890625}, {"start": 530.87, "end": 531.09, "word": " هذا", "probability": 0.52294921875}, {"start": 531.09, "end": 531.47, "word": " واحد", "probability": 0.9833984375}, {"start": 531.47, "end": 531.91, "word": " طوله", "probability": 0.9912109375}, {"start": 531.91, "end": 532.63, "word": " هذه", "probability": 0.78857421875}, {"start": 532.63, "end": 532.91, "word": " الآن", "probability": 0.530364990234375}, {"start": 532.91, "end": 533.77, "word": " مساحتها", "probability": 0.8870849609375}, {"start": 533.77, "end": 534.47, "word": " أكيد", "probability": 0.9039713541666666}, {"start": 534.47, "end": 534.93, "word": " أصغر", "probability": 0.9837646484375}, {"start": 534.93, "end": 535.05, "word": " من", "probability": 0.98095703125}, {"start": 535.05, "end": 535.59, "word": " مساحة", "probability": 0.9710286458333334}, {"start": 535.59, "end": 535.99, "word": " مين", "probability": 0.89453125}, {"start": 535.99, "end": 536.65, "word": " اللي", "probability": 0.921630859375}, {"start": 536.65, "end": 536.87, "word": " هي", "probability": 0.9697265625}, {"start": 536.87, "end": 537.43, "word": " المساحة", "probability": 0.97314453125}, {"start": 537.43, "end": 537.67, "word": " تحت", "probability": 0.994140625}, {"start": 537.67, "end": 538.37, "word": " المنحنة", "probability": 0.9046875}, {"start": 538.37, "end": 538.99, "word": " يعني", "probability": 0.9326171875}, {"start": 538.99, "end": 539.41, "word": " بمعنى", "probability": 0.991796875}, {"start": 539.41, "end": 539.75, "word": " آخر", "probability": 0.754150390625}, {"start": 539.75, "end": 540.29, "word": " هيكون", "probability": 0.851806640625}, {"start": 540.29, "end": 540.89, "word": " هذه", "probability": 0.935546875}, {"start": 540.89, "end": 541.71, "word": " المساحة", "probability": 0.9886474609375}, {"start": 541.71, "end": 542.15, "word": " اللي", "probability": 0.8876953125}, {"start": 542.15, "end": 542.29, "word": " هي", "probability": 0.84521484375}, {"start": 542.29, "end": 542.45, "word": " F", "probability": 0.5517578125}, {"start": 542.45, "end": 542.63, "word": " of", "probability": 0.708984375}, {"start": 542.63, "end": 542.79, "word": " K", "probability": 0.89697265625}, {"start": 542.79, "end": 542.93, "word": " في", "probability": 0.923828125}, {"start": 542.93, "end": 543.39, "word": " واحد", "probability": 0.98291015625}, {"start": 543.39, "end": 543.61, "word": " اللي", "probability": 0.92919921875}, {"start": 543.61, "end": 543.77, "word": " هي", "probability": 0.91796875}, {"start": 543.77, "end": 543.99, "word": " F", "probability": 0.91845703125}, {"start": 543.99, "end": 544.19, "word": " of", "probability": 0.9384765625}, {"start": 544.19, "end": 544.41, "word": " K", "probability": 0.9814453125}, {"start": 544.41, "end": 544.77, "word": " يعني", "probability": 0.9287109375}, {"start": 544.77, "end": 545.51, "word": " أصغر", "probability": 0.97607421875}, {"start": 545.51, "end": 545.83, "word": " بسهول", "probability": 0.6961669921875}, {"start": 545.83, "end": 546.53, "word": " integration", "probability": 0.50390625}, {"start": 546.53, "end": 547.13, "word": " اللي", "probability": 0.9765625}, {"start": 547.13, "end": 547.73, "word": " أمامي", "probability": 0.940673828125}, {"start": 547.73, "end": 548.01, "word": " اللي", "probability": 0.9296875}, {"start": 548.01, "end": 548.37, "word": " عندي", "probability": 0.765869140625}, {"start": 548.37, "end": 549.01, "word": " يعني", "probability": 0.951171875}, {"start": 549.01, "end": 549.51, "word": " هذا", "probability": 0.92822265625}, {"start": 549.51, "end": 549.81, "word": " اللي", "probability": 0.98681640625}, {"start": 549.81, "end": 550.03, "word": " هو", "probability": 0.96826171875}, {"start": 550.03, "end": 550.43, "word": " تمام", "probability": 0.7900390625}, {"start": 550.43, "end": 551.01, "word": " هذا", "probability": 0.6650390625}, {"start": 551.01, "end": 551.27, "word": " اللي", "probability": 0.989501953125}, {"start": 551.27, "end": 551.47, "word": " أنا", "probability": 0.83935546875}, {"start": 551.47, "end": 551.97, "word": " مسميها", "probability": 0.8341064453125}, {"start": 551.97, "end": 552.35, "word": " تسعة", "probability": 0.9134114583333334}, {"start": 552.35, "end": 552.53, "word": " أو", "probability": 0.86767578125}, {"start": 552.53, "end": 552.95, "word": " تمانية", "probability": 0.9874674479166666}, {"start": 552.95, "end": 553.11, "word": " أو", "probability": 0.72607421875}, {"start": 553.11, "end": 553.25, "word": " اللي", "probability": 0.97998046875}, {"start": 553.25, "end": 553.45, "word": " هي", "probability": 0.8994140625}, {"start": 553.45, "end": 553.81, "word": " هذه", "probability": 0.66259765625}, {"start": 553.81, "end": 554.77, "word": " هيكون", "probability": 0.92529296875}, {"start": 554.77, "end": 555.11, "word": " عندي", "probability": 0.699951171875}, {"start": 555.11, "end": 555.81, "word": " المساحة", "probability": 0.985595703125}], "temperature": 1.0}, {"id": 27, "seek": 57302, "start": 556.06, "end": 573.02, "text": "الكبيرة هذه أكبر أو يساوي المساحة تحت الملحانة الـ integration أصغر أو يساوي أو أكبر أو يساوي المساحة الأخيرة اللي هي المستطيل هذا اللي طوله F of K في مين أو عرض واحد يعني", "tokens": [6027, 4117, 3555, 48923, 29538, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 9673, 3794, 39319, 3660, 6055, 33753, 9673, 1211, 5016, 7649, 3660, 2423, 39184, 10980, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 34051, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 9673, 3794, 39319, 3660, 16247, 9778, 48923, 13672, 1829, 39896, 9673, 14851, 9566, 26895, 23758, 13672, 1829, 23032, 12610, 3224, 479, 295, 591, 8978, 3714, 9957, 34051, 6225, 43042, 36764, 24401, 37495, 22653], "avg_logprob": -0.20253164821033237, "compression_ratio": 1.7710843373493976, "no_speech_prob": 2.199411392211914e-05, "words": [{"start": 556.06, "end": 557.26, "word": "الكبيرة", "probability": 0.72625732421875}, {"start": 557.26, "end": 557.78, "word": " هذه", "probability": 0.6171875}, {"start": 557.78, "end": 558.5, "word": " أكبر", "probability": 0.8780924479166666}, {"start": 558.5, "end": 558.62, "word": " أو", "probability": 0.943359375}, {"start": 558.62, "end": 558.84, "word": " يساوي", "probability": 0.9501953125}, {"start": 558.84, "end": 559.26, "word": " المساحة", "probability": 0.941162109375}, {"start": 559.26, "end": 559.48, "word": " تحت", "probability": 0.98046875}, {"start": 559.48, "end": 559.86, "word": " الملحانة", "probability": 0.73427734375}, {"start": 559.86, "end": 559.96, "word": " الـ", "probability": 0.68994140625}, {"start": 559.96, "end": 560.46, "word": " integration", "probability": 0.492919921875}, {"start": 560.46, "end": 561.62, "word": " أصغر", "probability": 0.8980712890625}, {"start": 561.62, "end": 562.08, "word": " أو", "probability": 0.44384765625}, {"start": 562.08, "end": 564.26, "word": " يساوي", "probability": 0.949951171875}, {"start": 564.26, "end": 564.44, "word": " أو", "probability": 0.34814453125}, {"start": 564.44, "end": 564.84, "word": " أكبر", "probability": 0.9557291666666666}, {"start": 564.84, "end": 564.96, "word": " أو", "probability": 0.92578125}, {"start": 564.96, "end": 565.42, "word": " يساوي", "probability": 0.9903564453125}, {"start": 565.42, "end": 566.14, "word": " المساحة", "probability": 0.9818115234375}, {"start": 566.14, "end": 567.1, "word": " الأخيرة", "probability": 0.9597981770833334}, {"start": 567.1, "end": 567.42, "word": " اللي", "probability": 0.7333984375}, {"start": 567.42, "end": 567.6, "word": " هي", "probability": 0.88525390625}, {"start": 567.6, "end": 568.14, "word": " المستطيل", "probability": 0.8956298828125}, {"start": 568.14, "end": 568.4, "word": " هذا", "probability": 0.9296875}, {"start": 568.4, "end": 568.6, "word": " اللي", "probability": 0.79833984375}, {"start": 568.6, "end": 569.16, "word": " طوله", "probability": 0.9178059895833334}, {"start": 569.16, "end": 569.66, "word": " F", "probability": 0.432373046875}, {"start": 569.66, "end": 569.86, "word": " of", "probability": 0.568359375}, {"start": 569.86, "end": 570.26, "word": " K", "probability": 0.8515625}, {"start": 570.26, "end": 570.68, "word": " في", "probability": 0.9189453125}, {"start": 570.68, "end": 571.02, "word": " مين", "probability": 0.719482421875}, {"start": 571.02, "end": 571.32, "word": " أو", "probability": 0.425048828125}, {"start": 571.32, "end": 572.24, "word": " عرض", "probability": 0.784423828125}, {"start": 572.24, "end": 572.74, "word": " واحد", "probability": 0.87939453125}, {"start": 572.74, "end": 573.02, "word": " يعني", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 28, "seek": 59565, "start": 574.39, "end": 595.65, "text": "K في الواحد يعني F of K أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر و أصغر", "tokens": [42, 8978, 2423, 14407, 24401, 37495, 22653, 479, 295, 591, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288, 4032, 5551, 9381, 17082, 2288], "avg_logprob": -0.09416666348775228, "compression_ratio": 8.98360655737705, "no_speech_prob": 2.3245811462402344e-05, "words": [{"start": 574.39, "end": 574.75, "word": "K", "probability": 0.1104736328125}, {"start": 574.75, "end": 575.39, "word": " في", "probability": 0.287109375}, {"start": 575.39, "end": 577.05, "word": " الواحد", "probability": 0.4957682291666667}, {"start": 577.05, "end": 577.31, "word": " يعني", "probability": 0.825439453125}, {"start": 577.31, "end": 577.53, "word": " F", "probability": 0.411376953125}, {"start": 577.53, "end": 577.69, "word": " of", "probability": 0.387939453125}, {"start": 577.69, "end": 577.97, "word": " K", "probability": 0.92431640625}, {"start": 577.97, "end": 578.55, "word": " أصغر", "probability": 0.8712158203125}, {"start": 578.55, "end": 578.69, "word": " و", "probability": 0.09954833984375}, {"start": 578.69, "end": 578.99, "word": " أصغر", "probability": 0.849853515625}, {"start": 578.99, "end": 579.47, "word": " و", "probability": 0.139404296875}, {"start": 579.47, "end": 579.47, "word": " أصغر", "probability": 0.9063720703125}, {"start": 579.47, "end": 579.63, "word": " و", "probability": 0.300537109375}, {"start": 579.63, "end": 579.67, "word": " أصغر", "probability": 0.9029541015625}, {"start": 579.67, "end": 579.71, "word": " و", "probability": 0.57470703125}, {"start": 579.71, "end": 579.71, "word": " أصغر", "probability": 0.94970703125}, {"start": 579.71, "end": 579.71, "word": " و", "probability": 0.72900390625}, {"start": 579.71, "end": 579.71, "word": " أصغر", "probability": 0.9696044921875}, {"start": 579.71, "end": 579.71, "word": " و", "probability": 0.79296875}, {"start": 579.71, "end": 579.71, "word": " أصغر", "probability": 0.9764404296875}, {"start": 579.71, "end": 579.77, "word": " و", "probability": 0.81884765625}, {"start": 579.77, "end": 579.77, "word": " أصغر", "probability": 0.978515625}, {"start": 579.77, "end": 579.77, "word": " و", "probability": 0.8203125}, {"start": 579.77, "end": 579.77, "word": " أصغر", "probability": 0.97900390625}, {"start": 579.77, "end": 579.77, "word": " و", "probability": 0.81787109375}, {"start": 579.77, "end": 579.77, "word": " أصغر", "probability": 0.9791259765625}, {"start": 579.77, "end": 579.87, "word": " و", "probability": 0.81396484375}, {"start": 579.87, "end": 579.87, "word": " أصغر", "probability": 0.9786376953125}, {"start": 579.87, "end": 582.39, "word": " و", "probability": 0.8173828125}, {"start": 582.39, "end": 582.65, "word": " أصغر", "probability": 0.9796142578125}, {"start": 582.65, "end": 582.65, "word": " و", "probability": 0.8251953125}, {"start": 582.65, "end": 582.75, "word": " أصغر", "probability": 0.9808349609375}, {"start": 582.75, "end": 582.75, "word": " و", "probability": 0.84375}, {"start": 582.75, "end": 582.77, "word": " أصغر", "probability": 0.9827880859375}, {"start": 582.77, "end": 582.77, "word": " و", "probability": 0.859375}, {"start": 582.77, "end": 582.77, "word": " أصغر", "probability": 0.984619140625}, {"start": 582.77, "end": 582.77, "word": " و", "probability": 0.87744140625}, {"start": 582.77, "end": 582.83, "word": " أصغر", "probability": 0.9859619140625}, {"start": 582.83, "end": 582.89, "word": " و", "probability": 0.89453125}, {"start": 582.89, "end": 582.89, "word": " أصغر", "probability": 0.9873046875}, {"start": 582.89, "end": 582.91, "word": " و", "probability": 0.90869140625}, {"start": 582.91, "end": 582.91, "word": " أصغر", "probability": 0.98828125}, {"start": 582.91, "end": 582.91, "word": " و", "probability": 0.92431640625}, {"start": 582.91, "end": 582.91, "word": " أصغر", "probability": 0.9891357421875}, {"start": 582.91, "end": 583.01, "word": " و", "probability": 0.93359375}, {"start": 583.01, "end": 583.15, "word": " أصغر", "probability": 0.9898681640625}, {"start": 583.15, "end": 583.15, "word": " و", "probability": 0.9423828125}, {"start": 583.15, "end": 583.15, "word": " أصغر", "probability": 0.9903564453125}, {"start": 583.15, "end": 583.15, "word": " و", "probability": 0.95068359375}, {"start": 583.15, "end": 583.15, "word": " أصغر", "probability": 0.9906005859375}, {"start": 583.15, "end": 583.15, "word": " و", "probability": 0.958984375}, {"start": 583.15, "end": 583.15, "word": " أصغر", "probability": 0.990966796875}, {"start": 583.15, "end": 583.15, "word": " و", "probability": 0.96435546875}, {"start": 583.15, "end": 583.15, "word": " أصغر", "probability": 0.9910888671875}, {"start": 583.15, "end": 583.81, "word": " و", "probability": 0.96875}, {"start": 583.81, "end": 584.05, "word": " أصغر", "probability": 0.990966796875}, {"start": 584.05, "end": 584.05, "word": " و", "probability": 0.97265625}, {"start": 584.05, "end": 584.77, "word": " أصغر", "probability": 0.990966796875}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.97607421875}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.990966796875}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.978515625}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.9908447265625}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.97998046875}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.9906005859375}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.9814453125}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.990234375}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.98291015625}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.990234375}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.98388671875}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.9901123046875}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.984375}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.9893798828125}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.9853515625}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.989501953125}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.98583984375}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.98974609375}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.98583984375}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.989501953125}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.98583984375}, {"start": 584.77, "end": 584.77, "word": " أصغر", "probability": 0.98974609375}, {"start": 584.77, "end": 584.77, "word": " و", "probability": 0.986328125}, {"start": 584.77, "end": 584.87, "word": " أصغر", "probability": 0.9898681640625}, {"start": 584.87, "end": 585.21, "word": " و", "probability": 0.986328125}, {"start": 585.21, "end": 585.71, "word": " أصغر", "probability": 0.989990234375}, {"start": 585.71, "end": 585.91, "word": " و", "probability": 0.986328125}, {"start": 585.91, "end": 586.71, "word": " أصغر", "probability": 0.990234375}, {"start": 586.71, "end": 588.25, "word": " و", "probability": 0.98681640625}, {"start": 588.25, "end": 588.69, "word": " أصغر", "probability": 0.99072265625}, {"start": 588.69, "end": 591.65, "word": " و", "probability": 0.98681640625}, {"start": 591.65, "end": 592.65, "word": " أصغر", "probability": 0.990966796875}, {"start": 592.65, "end": 594.79, "word": " و", "probability": 0.9873046875}, {"start": 594.79, "end": 595.65, "word": " أصغر", "probability": 0.990478515625}], "temperature": 1.0}, {"id": 29, "seek": 61264, "start": 596.28, "end": 612.64, "text": "لأ اللي هو هذا المقدار كله من عند N من عند 1 لعند N يعني صار عندي الآن ال summation ال summation لل F of K كي من عند 2 لعند N", "tokens": [1211, 10721, 13672, 1829, 31439, 23758, 9673, 28543, 9640, 28242, 3224, 9154, 43242, 426, 9154, 43242, 502, 5296, 3615, 41260, 426, 37495, 22653, 20328, 9640, 18871, 16254, 6024, 48506, 2423, 28811, 2423, 28811, 24976, 479, 295, 591, 9122, 1829, 9154, 43242, 568, 5296, 3615, 41260, 426], "avg_logprob": -0.24251995188124637, "compression_ratio": 1.5867768595041323, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 596.28, "end": 596.8, "word": "لأ", "probability": 0.64599609375}, {"start": 596.8, "end": 597.18, "word": " اللي", "probability": 0.5013427734375}, {"start": 597.18, "end": 597.48, "word": " هو", "probability": 0.97802734375}, {"start": 597.48, "end": 597.98, "word": " هذا", "probability": 0.9267578125}, {"start": 597.98, "end": 598.54, "word": " المقدار", "probability": 0.970703125}, {"start": 598.54, "end": 599.48, "word": " كله", "probability": 0.98095703125}, {"start": 599.48, "end": 599.94, "word": " من", "probability": 0.8232421875}, {"start": 599.94, "end": 600.28, "word": " عند", "probability": 0.97119140625}, {"start": 600.28, "end": 600.6, "word": " N", "probability": 0.134033203125}, {"start": 600.6, "end": 601.16, "word": " من", "probability": 0.87548828125}, {"start": 601.16, "end": 601.42, "word": " عند", "probability": 0.89501953125}, {"start": 601.42, "end": 601.64, "word": " 1", "probability": 0.73583984375}, {"start": 601.64, "end": 601.98, "word": " لعند", "probability": 0.85546875}, {"start": 601.98, "end": 602.12, "word": " N", "probability": 0.92431640625}, {"start": 602.12, "end": 602.44, "word": " يعني", "probability": 0.912353515625}, {"start": 602.44, "end": 602.72, "word": " صار", "probability": 0.931640625}, {"start": 602.72, "end": 603.06, "word": " عندي", "probability": 0.7734375}, {"start": 603.06, "end": 603.46, "word": " الآن", "probability": 0.74853515625}, {"start": 603.46, "end": 604.14, "word": " ال", "probability": 0.80615234375}, {"start": 604.14, "end": 604.8, "word": " summation", "probability": 0.56005859375}, {"start": 604.8, "end": 606.28, "word": " ال", "probability": 0.65087890625}, {"start": 606.28, "end": 606.9, "word": " summation", "probability": 0.9365234375}, {"start": 606.9, "end": 608.3, "word": " لل", "probability": 0.681640625}, {"start": 608.3, "end": 608.72, "word": " F", "probability": 0.69873046875}, {"start": 608.72, "end": 609.08, "word": " of", "probability": 0.67578125}, {"start": 609.08, "end": 609.54, "word": " K", "probability": 0.8955078125}, {"start": 609.54, "end": 610.52, "word": " كي", "probability": 0.57330322265625}, {"start": 610.52, "end": 610.66, "word": " من", "probability": 0.90380859375}, {"start": 610.66, "end": 611.0, "word": " عند", "probability": 0.98388671875}, {"start": 611.0, "end": 611.54, "word": " 2", "probability": 0.95361328125}, {"start": 611.54, "end": 612.32, "word": " لعند", "probability": 0.96337890625}, {"start": 612.32, "end": 612.64, "word": " N", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 30, "seek": 63941, "start": 613.3, "end": 639.42, "text": "أصغر أو يساوي ال integration summation طبعاً K-1 لعند K F of T DT K من عند 2 لعند N أصغر أو يساوي ال summation F of K-1 K من عند 2 لعند N تلاحظ هذا ال summation اللي هو من عند 2 يعني ال integration من 1 ل2", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 10980, 28811, 23032, 3555, 3615, 995, 14111, 591, 12, 16, 5296, 3615, 41260, 591, 479, 295, 314, 413, 51, 591, 9154, 43242, 568, 5296, 3615, 41260, 426, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 28811, 479, 295, 591, 12, 16, 591, 9154, 43242, 568, 5296, 3615, 41260, 426, 6055, 15040, 5016, 19913, 23758, 2423, 28811, 13672, 1829, 31439, 9154, 43242, 568, 37495, 22653, 2423, 10980, 9154, 502, 5296, 17], "avg_logprob": -0.17516942627458687, "compression_ratio": 1.8343949044585988, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 613.3, "end": 613.84, "word": "أصغر", "probability": 0.9180908203125}, {"start": 613.84, "end": 614.04, "word": " أو", "probability": 0.92138671875}, {"start": 614.04, "end": 614.42, "word": " يساوي", "probability": 0.8763427734375}, {"start": 614.42, "end": 614.56, "word": " ال", "probability": 0.9580078125}, {"start": 614.56, "end": 615.18, "word": " integration", "probability": 0.50927734375}, {"start": 615.18, "end": 615.9, "word": " summation", "probability": 0.206298828125}, {"start": 615.9, "end": 616.94, "word": " طبعاً", "probability": 0.80595703125}, {"start": 616.94, "end": 617.24, "word": " K", "probability": 0.2344970703125}, {"start": 617.24, "end": 618.38, "word": "-1", "probability": 0.53887939453125}, {"start": 618.38, "end": 618.74, "word": " لعند", "probability": 0.78125}, {"start": 618.74, "end": 619.12, "word": " K", "probability": 0.92529296875}, {"start": 619.12, "end": 619.88, "word": " F", "probability": 0.5634765625}, {"start": 619.88, "end": 620.08, "word": " of", "probability": 0.06414794921875}, {"start": 620.08, "end": 620.48, "word": " T", "probability": 0.87109375}, {"start": 620.48, "end": 621.42, "word": " DT", "probability": 0.6788330078125}, {"start": 621.42, "end": 622.22, "word": " K", "probability": 0.86083984375}, {"start": 622.22, "end": 622.4, "word": " من", "probability": 0.96533203125}, {"start": 622.4, "end": 622.7, "word": " عند", "probability": 0.9736328125}, {"start": 622.7, "end": 623.18, "word": " 2", "probability": 0.93505859375}, {"start": 623.18, "end": 623.76, "word": " لعند", "probability": 0.947265625}, {"start": 623.76, "end": 624.14, "word": " N", "probability": 0.95556640625}, {"start": 624.14, "end": 625.12, "word": " أصغر", "probability": 0.974365234375}, {"start": 625.12, "end": 625.26, "word": " أو", "probability": 0.9658203125}, {"start": 625.26, "end": 625.58, "word": " يساوي", "probability": 0.9754638671875}, {"start": 625.58, "end": 625.72, "word": " ال", "probability": 0.9443359375}, {"start": 625.72, "end": 626.16, "word": " summation", "probability": 0.96533203125}, {"start": 626.16, "end": 626.64, "word": " F", "probability": 0.919921875}, {"start": 626.64, "end": 626.94, "word": " of", "probability": 0.68212890625}, {"start": 626.94, "end": 627.36, "word": " K", "probability": 0.9814453125}, {"start": 627.36, "end": 628.64, "word": "-1", "probability": 0.620849609375}, {"start": 628.64, "end": 628.94, "word": " K", "probability": 0.75341796875}, {"start": 628.94, "end": 629.12, "word": " من", "probability": 0.9794921875}, {"start": 629.12, "end": 629.38, "word": " عند", "probability": 0.98876953125}, {"start": 629.38, "end": 629.9, "word": " 2", "probability": 0.9931640625}, {"start": 629.9, "end": 630.42, "word": " لعند", "probability": 0.9464518229166666}, {"start": 630.42, "end": 630.74, "word": " N", "probability": 0.8095703125}, {"start": 630.74, "end": 632.96, "word": " تلاحظ", "probability": 0.8189697265625}, {"start": 632.96, "end": 633.38, "word": " هذا", "probability": 0.84228515625}, {"start": 633.38, "end": 633.68, "word": " ال", "probability": 0.96630859375}, {"start": 633.68, "end": 634.22, "word": " summation", "probability": 0.95849609375}, {"start": 634.22, "end": 635.1, "word": " اللي", "probability": 0.923095703125}, {"start": 635.1, "end": 635.4, "word": " هو", "probability": 0.95849609375}, {"start": 635.4, "end": 635.74, "word": " من", "probability": 0.98046875}, {"start": 635.74, "end": 636.04, "word": " عند", "probability": 0.98876953125}, {"start": 636.04, "end": 636.44, "word": " 2", "probability": 0.98193359375}, {"start": 636.44, "end": 636.84, "word": " يعني", "probability": 0.948486328125}, {"start": 636.84, "end": 637.06, "word": " ال", "probability": 0.9921875}, {"start": 637.06, "end": 637.68, "word": " integration", "probability": 0.978515625}, {"start": 637.68, "end": 638.36, "word": " من", "probability": 0.97900390625}, {"start": 638.36, "end": 638.8, "word": " 1", "probability": 0.8828125}, {"start": 638.8, "end": 639.42, "word": " ل2", "probability": 0.81689453125}], "temperature": 1.0}, {"id": 31, "seek": 66520, "start": 640.34, "end": 665.2, "text": "زاد ال integration من 2 ل 3 زاد من 3 ل 4 لما نقصل من عند اللي هو N ماقص 1 ل عند ال N يعني كل مجموع هذا هيبقى عبارة عن ال integration من 1 ل عند ال N هذا F of T DT أزرع وساوي ال summation هذا اللي هو عبارة عن F of", "tokens": [11622, 18513, 2423, 10980, 9154, 568, 5296, 805, 30767, 18513, 9154, 805, 5296, 1017, 5296, 15042, 8717, 4587, 36520, 9154, 43242, 13672, 1829, 31439, 426, 3714, 995, 4587, 9381, 502, 5296, 43242, 2423, 426, 37495, 22653, 28242, 3714, 7435, 2304, 45367, 23758, 39896, 3555, 4587, 7578, 6225, 3555, 9640, 3660, 18871, 2423, 10980, 9154, 502, 5296, 43242, 2423, 426, 23758, 479, 295, 314, 413, 51, 5551, 11622, 2288, 3615, 46952, 995, 45865, 2423, 28811, 23758, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 479, 295], "avg_logprob": -0.1733284946097884, "compression_ratio": 1.7582417582417582, "no_speech_prob": 1.2755393981933594e-05, "words": [{"start": 640.34, "end": 640.92, "word": "زاد", "probability": 0.711669921875}, {"start": 640.92, "end": 641.06, "word": " ال", "probability": 0.86279296875}, {"start": 641.06, "end": 641.7, "word": " integration", "probability": 0.8525390625}, {"start": 641.7, "end": 642.16, "word": " من", "probability": 0.94921875}, {"start": 642.16, "end": 642.58, "word": " 2", "probability": 0.72412109375}, {"start": 642.58, "end": 642.74, "word": " ل", "probability": 0.8310546875}, {"start": 642.74, "end": 643.2, "word": " 3", "probability": 0.49853515625}, {"start": 643.2, "end": 644.2, "word": " زاد", "probability": 0.936767578125}, {"start": 644.2, "end": 644.36, "word": " من", "probability": 0.95458984375}, {"start": 644.36, "end": 644.74, "word": " 3", "probability": 0.98486328125}, {"start": 644.74, "end": 644.9, "word": " ل", "probability": 0.9541015625}, {"start": 644.9, "end": 645.34, "word": " 4", "probability": 0.90771484375}, {"start": 645.34, "end": 645.8, "word": " لما", "probability": 0.839111328125}, {"start": 645.8, "end": 646.22, "word": " نقصل", "probability": 0.7789713541666666}, {"start": 646.22, "end": 646.42, "word": " من", "probability": 0.951171875}, {"start": 646.42, "end": 646.82, "word": " عند", "probability": 0.94482421875}, {"start": 646.82, "end": 647.28, "word": " اللي", "probability": 0.722412109375}, {"start": 647.28, "end": 647.56, "word": " هو", "probability": 0.94140625}, {"start": 647.56, "end": 647.92, "word": " N", "probability": 0.2371826171875}, {"start": 647.92, "end": 648.44, "word": " ماقص", "probability": 0.676239013671875}, {"start": 648.44, "end": 648.88, "word": " 1", "probability": 0.80419921875}, {"start": 648.88, "end": 649.06, "word": " ل", "probability": 0.96240234375}, {"start": 649.06, "end": 649.3, "word": " عند", "probability": 0.7177734375}, {"start": 649.3, "end": 649.5, "word": " ال", "probability": 0.93017578125}, {"start": 649.5, "end": 649.68, "word": " N", "probability": 0.7451171875}, {"start": 649.68, "end": 650.54, "word": " يعني", "probability": 0.935302734375}, {"start": 650.54, "end": 650.9, "word": " كل", "probability": 0.9794921875}, {"start": 650.9, "end": 651.56, "word": " مجموع", "probability": 0.9852294921875}, {"start": 651.56, "end": 652.14, "word": " هذا", "probability": 0.91552734375}, {"start": 652.14, "end": 652.9, "word": " هيبقى", "probability": 0.834228515625}, {"start": 652.9, "end": 653.24, "word": " عبارة", "probability": 0.9921875}, {"start": 653.24, "end": 653.36, "word": " عن", "probability": 0.97509765625}, {"start": 653.36, "end": 653.44, "word": " ال", "probability": 0.83447265625}, {"start": 653.44, "end": 653.96, "word": " integration", "probability": 0.98046875}, {"start": 653.96, "end": 654.3, "word": " من", "probability": 0.98876953125}, {"start": 654.3, "end": 654.7, "word": " 1", "probability": 0.943359375}, {"start": 654.7, "end": 655.06, "word": " ل", "probability": 0.9765625}, {"start": 655.06, "end": 655.4, "word": " عند", "probability": 0.90625}, {"start": 655.4, "end": 655.66, "word": " ال", "probability": 0.9609375}, {"start": 655.66, "end": 655.94, "word": " N", "probability": 0.96435546875}, {"start": 655.94, "end": 656.8, "word": " هذا", "probability": 0.90283203125}, {"start": 656.8, "end": 657.56, "word": " F", "probability": 0.591796875}, {"start": 657.56, "end": 657.78, "word": " of", "probability": 0.5087890625}, {"start": 657.78, "end": 658.26, "word": " T", "probability": 0.90185546875}, {"start": 658.26, "end": 659.46, "word": " DT", "probability": 0.671630859375}, {"start": 659.46, "end": 660.16, "word": " أزرع", "probability": 0.7303466796875}, {"start": 660.16, "end": 660.56, "word": " وساوي", "probability": 0.6819661458333334}, {"start": 660.56, "end": 660.68, "word": " ال", "probability": 0.84228515625}, {"start": 660.68, "end": 661.12, "word": " summation", "probability": 0.91015625}, {"start": 661.12, "end": 661.64, "word": " هذا", "probability": 0.8876953125}, {"start": 661.64, "end": 662.24, "word": " اللي", "probability": 0.98095703125}, {"start": 662.24, "end": 662.36, "word": " هو", "probability": 0.93408203125}, {"start": 662.36, "end": 662.76, "word": " عبارة", "probability": 0.997802734375}, {"start": 662.76, "end": 663.18, "word": " عن", "probability": 0.98974609375}, {"start": 663.18, "end": 664.06, "word": " F", "probability": 0.939453125}, {"start": 664.06, "end": 665.2, "word": " of", "probability": 0.92138671875}], "temperature": 1.0}, {"id": 32, "seek": 67627, "start": 666.31, "end": 676.27, "text": "K من عند 2 أفف 2 ناقص أفف 1 يعني أفف واحد زيد أفف 2 زيد أفف N ناقص 1", "tokens": [42, 9154, 43242, 568, 5551, 5172, 5172, 568, 8717, 995, 4587, 9381, 5551, 5172, 5172, 502, 37495, 22653, 5551, 5172, 5172, 36764, 24401, 30767, 1829, 3215, 5551, 5172, 5172, 568, 30767, 1829, 3215, 5551, 5172, 5172, 426, 8717, 995, 4587, 9381, 502], "avg_logprob": -0.336300884568414, "compression_ratio": 1.4864864864864864, "no_speech_prob": 1.2040138244628906e-05, "words": [{"start": 666.31, "end": 666.67, "word": "K", "probability": 0.3486328125}, {"start": 666.67, "end": 667.37, "word": " من", "probability": 0.2529296875}, {"start": 667.37, "end": 667.65, "word": " عند", "probability": 0.81494140625}, {"start": 667.65, "end": 668.01, "word": " 2", "probability": 0.53662109375}, {"start": 668.01, "end": 668.55, "word": " أفف", "probability": 0.4505208333333333}, {"start": 668.55, "end": 668.73, "word": " 2", "probability": 0.31982421875}, {"start": 668.73, "end": 669.17, "word": " ناقص", "probability": 0.898681640625}, {"start": 669.17, "end": 669.43, "word": " أفف", "probability": 0.9210611979166666}, {"start": 669.43, "end": 669.63, "word": " 1", "probability": 0.51513671875}, {"start": 669.63, "end": 669.89, "word": " يعني", "probability": 0.894287109375}, {"start": 669.89, "end": 670.17, "word": " أفف", "probability": 0.9850260416666666}, {"start": 670.17, "end": 670.57, "word": " واحد", "probability": 0.905517578125}, {"start": 670.57, "end": 671.33, "word": " زيد", "probability": 0.5047200520833334}, {"start": 671.33, "end": 671.59, "word": " أفف", "probability": 0.9578450520833334}, {"start": 671.59, "end": 671.91, "word": " 2", "probability": 0.6875}, {"start": 671.91, "end": 673.03, "word": " زيد", "probability": 0.8167317708333334}, {"start": 673.03, "end": 674.83, "word": " أفف", "probability": 0.8797200520833334}, {"start": 674.83, "end": 675.13, "word": " N", "probability": 0.461181640625}, {"start": 675.13, "end": 675.79, "word": " ناقص", "probability": 0.9742431640625}, {"start": 675.79, "end": 676.27, "word": " 1", "probability": 0.60693359375}], "temperature": 1.0}, {"id": 33, "seek": 70405, "start": 676.67, "end": 704.05, "text": "ماشي الحال الان هذا اكبر او يساوي هذا ال summation عبارة عن مين يا جماعة اللي هو عبارة عن F of 2 زي F of 3 لما اصل عند اخر واحد اللي هو F of N في الواقع هذا مين هذا عبارة عن SN نفسه بس خاسس مين منه ال F of 1 يعني ناقص F of 1 اصغر او ساوي ال integration من 1 and N F of T DT", "tokens": [2304, 33599, 1829, 21542, 6027, 2423, 7649, 23758, 1975, 4117, 26890, 1975, 2407, 7251, 3794, 995, 45865, 23758, 2423, 28811, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 35186, 10874, 15042, 27884, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 479, 295, 568, 30767, 1829, 479, 295, 805, 5296, 15042, 1975, 36520, 43242, 1975, 34740, 36764, 24401, 13672, 1829, 31439, 479, 295, 426, 8978, 2423, 14407, 4587, 3615, 23758, 3714, 9957, 23758, 6225, 3555, 9640, 3660, 18871, 13955, 8717, 36178, 3224, 4724, 3794, 16490, 32277, 3794, 3714, 9957, 9154, 3224, 2423, 479, 295, 502, 37495, 22653, 8717, 995, 4587, 9381, 479, 295, 502, 1975, 9381, 17082, 2288, 1975, 2407, 8608, 995, 45865, 2423, 10980, 9154, 502, 293, 426, 479, 295, 314, 413, 51], "avg_logprob": -0.15637703639705006, "compression_ratio": 1.815450643776824, "no_speech_prob": 8.940696716308594e-06, "words": [{"start": 676.67, "end": 677.11, "word": "ماشي", "probability": 0.90576171875}, {"start": 677.11, "end": 677.57, "word": " الحال", "probability": 0.953857421875}, {"start": 677.57, "end": 678.51, "word": " الان", "probability": 0.505126953125}, {"start": 678.51, "end": 678.81, "word": " هذا", "probability": 0.91162109375}, {"start": 678.81, "end": 679.21, "word": " اكبر", "probability": 0.8269856770833334}, {"start": 679.21, "end": 679.41, "word": " او", "probability": 0.857666015625}, {"start": 679.41, "end": 680.01, "word": " يساوي", "probability": 0.9490966796875}, {"start": 680.01, "end": 680.79, "word": " هذا", "probability": 0.81298828125}, {"start": 680.79, "end": 680.91, "word": " ال", "probability": 0.84130859375}, {"start": 680.91, "end": 681.27, "word": " summation", "probability": 0.7001953125}, {"start": 681.27, "end": 681.73, "word": " عبارة", "probability": 0.98974609375}, {"start": 681.73, "end": 681.87, "word": " عن", "probability": 0.97705078125}, {"start": 681.87, "end": 682.49, "word": " مين", "probability": 0.6519775390625}, {"start": 682.49, "end": 682.61, "word": " يا", "probability": 0.931640625}, {"start": 682.61, "end": 683.03, "word": " جماعة", "probability": 0.9943033854166666}, {"start": 683.03, "end": 683.53, "word": " اللي", "probability": 0.794189453125}, {"start": 683.53, "end": 683.65, "word": " هو", "probability": 0.958984375}, {"start": 683.65, "end": 683.93, "word": " عبارة", "probability": 0.99560546875}, {"start": 683.93, "end": 684.13, "word": " عن", "probability": 0.97021484375}, {"start": 684.13, "end": 684.35, "word": " F", "probability": 0.47607421875}, {"start": 684.35, "end": 684.53, "word": " of", "probability": 0.37451171875}, {"start": 684.53, "end": 685.03, "word": " 2", "probability": 0.64599609375}, {"start": 685.03, "end": 685.77, "word": " زي", "probability": 0.754638671875}, {"start": 685.77, "end": 685.99, "word": " F", "probability": 0.6279296875}, {"start": 685.99, "end": 686.19, "word": " of", "probability": 0.86669921875}, {"start": 686.19, "end": 686.65, "word": " 3", "probability": 0.9287109375}, {"start": 686.65, "end": 687.35, "word": " لما", "probability": 0.882568359375}, {"start": 687.35, "end": 687.67, "word": " اصل", "probability": 0.814208984375}, {"start": 687.67, "end": 687.95, "word": " عند", "probability": 0.97021484375}, {"start": 687.95, "end": 688.31, "word": " اخر", "probability": 0.928955078125}, {"start": 688.31, "end": 688.69, "word": " واحد", "probability": 0.995361328125}, {"start": 688.69, "end": 688.83, "word": " اللي", "probability": 0.9228515625}, {"start": 688.83, "end": 689.03, "word": " هو", "probability": 0.970703125}, {"start": 689.03, "end": 689.49, "word": " F", "probability": 0.94677734375}, {"start": 689.49, "end": 689.89, "word": " of", "probability": 0.9453125}, {"start": 689.89, "end": 690.13, "word": " N", "probability": 0.85546875}, {"start": 690.13, "end": 690.79, "word": " في", "probability": 0.7890625}, {"start": 690.79, "end": 691.29, "word": " الواقع", "probability": 0.9927978515625}, {"start": 691.29, "end": 691.55, "word": " هذا", "probability": 0.802734375}, {"start": 691.55, "end": 692.09, "word": " مين", "probability": 0.9140625}, {"start": 692.09, "end": 692.45, "word": " هذا", "probability": 0.35791015625}, {"start": 692.45, "end": 692.87, "word": " عبارة", "probability": 0.998046875}, {"start": 692.87, "end": 693.11, "word": " عن", "probability": 0.9931640625}, {"start": 693.11, "end": 693.79, "word": " SN", "probability": 0.3076171875}, {"start": 693.79, "end": 694.83, "word": " نفسه", "probability": 0.9970703125}, {"start": 694.83, "end": 695.35, "word": " بس", "probability": 0.980224609375}, {"start": 695.35, "end": 695.83, "word": " خاسس", "probability": 0.8095703125}, {"start": 695.83, "end": 696.29, "word": " مين", "probability": 0.982421875}, {"start": 696.29, "end": 696.73, "word": " منه", "probability": 0.97705078125}, {"start": 696.73, "end": 696.81, "word": " ال", "probability": 0.900390625}, {"start": 696.81, "end": 696.95, "word": " F", "probability": 0.9404296875}, {"start": 696.95, "end": 697.11, "word": " of", "probability": 0.7275390625}, {"start": 697.11, "end": 697.47, "word": " 1", "probability": 0.92578125}, {"start": 697.47, "end": 698.13, "word": " يعني", "probability": 0.935791015625}, {"start": 698.13, "end": 698.71, "word": " ناقص", "probability": 0.9881591796875}, {"start": 698.71, "end": 699.03, "word": " F", "probability": 0.9287109375}, {"start": 699.03, "end": 699.21, "word": " of", "probability": 0.919921875}, {"start": 699.21, "end": 699.65, "word": " 1", "probability": 0.97900390625}, {"start": 699.65, "end": 700.07, "word": " اصغر", "probability": 0.937255859375}, {"start": 700.07, "end": 700.25, "word": " او", "probability": 0.91357421875}, {"start": 700.25, "end": 700.43, "word": " ساوي", "probability": 0.8600260416666666}, {"start": 700.43, "end": 700.55, "word": " ال", "probability": 0.88427734375}, {"start": 700.55, "end": 701.03, "word": " integration", "probability": 0.96826171875}, {"start": 701.03, "end": 701.25, "word": " من", "probability": 0.91259765625}, {"start": 701.25, "end": 701.45, "word": " 1", "probability": 0.64990234375}, {"start": 701.45, "end": 701.75, "word": " and", "probability": 0.2177734375}, {"start": 701.75, "end": 702.05, "word": " N", "probability": 0.91650390625}, {"start": 702.05, "end": 702.77, "word": " F", "probability": 0.7353515625}, {"start": 702.77, "end": 702.99, "word": " of", "probability": 0.89306640625}, {"start": 702.99, "end": 703.37, "word": " T", "probability": 0.8955078125}, {"start": 703.37, "end": 704.05, "word": " DT", "probability": 0.637451171875}], "temperature": 1.0}, {"id": 34, "seek": 73329, "start": 704.49, "end": 733.29, "text": "أصغر أو يساوي هذا عبارة عن ال summation لمين من عند واحد لعند N ناقص واحد يعني S N ناقص واحد لذا حصلنا على اللي هي ال equality اللي أمامي اللي هو التالية عند ال integration من واحد لعند N F of PDT صارت بين ال S N ناقص واحد وأكبر أو يساوي S N ناقص اللي هي F of واحد طيب نيجي الآن نكمل اللي", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 6225, 3555, 9640, 3660, 18871, 2423, 28811, 32767, 9957, 9154, 43242, 36764, 24401, 5296, 3615, 41260, 426, 8717, 995, 4587, 9381, 36764, 24401, 37495, 22653, 318, 426, 8717, 995, 4587, 9381, 36764, 24401, 5296, 15730, 11331, 36520, 8315, 15844, 13672, 1829, 39896, 2423, 14949, 13672, 1829, 5551, 2304, 10943, 1829, 13672, 1829, 31439, 16712, 6027, 10632, 43242, 2423, 10980, 9154, 36764, 24401, 5296, 3615, 41260, 426, 479, 295, 10464, 51, 20328, 9640, 2655, 49374, 2423, 318, 426, 8717, 995, 4587, 9381, 36764, 24401, 36725, 4117, 26890, 34051, 7251, 3794, 995, 45865, 318, 426, 8717, 995, 4587, 9381, 13672, 1829, 39896, 479, 295, 36764, 24401, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 6024, 48506, 8717, 24793, 1211, 13672, 1829], "avg_logprob": -0.15709786821705427, "compression_ratio": 1.9829787234042553, "no_speech_prob": 1.7821788787841797e-05, "words": [{"start": 704.49, "end": 704.93, "word": "أصغر", "probability": 0.912841796875}, {"start": 704.93, "end": 705.07, "word": " أو", "probability": 0.91259765625}, {"start": 705.07, "end": 705.53, "word": " يساوي", "probability": 0.9754638671875}, {"start": 705.53, "end": 706.03, "word": " هذا", "probability": 0.640625}, {"start": 706.03, "end": 706.35, "word": " عبارة", "probability": 0.994873046875}, {"start": 706.35, "end": 706.49, "word": " عن", "probability": 0.98974609375}, {"start": 706.49, "end": 706.59, "word": " ال", "probability": 0.5595703125}, {"start": 706.59, "end": 706.97, "word": " summation", "probability": 0.334716796875}, {"start": 706.97, "end": 707.61, "word": " لمين", "probability": 0.802490234375}, {"start": 707.61, "end": 708.15, "word": " من", "probability": 0.77685546875}, {"start": 708.15, "end": 708.45, "word": " عند", "probability": 0.95166015625}, {"start": 708.45, "end": 708.77, "word": " واحد", "probability": 0.67626953125}, {"start": 708.77, "end": 709.09, "word": " لعند", "probability": 0.78125}, {"start": 709.09, "end": 709.25, "word": " N", "probability": 0.35498046875}, {"start": 709.25, "end": 709.51, "word": " ناقص", "probability": 0.8385009765625}, {"start": 709.51, "end": 709.77, "word": " واحد", "probability": 0.98193359375}, {"start": 709.77, "end": 710.03, "word": " يعني", "probability": 0.79248046875}, {"start": 710.03, "end": 710.47, "word": " S", "probability": 0.546875}, {"start": 710.47, "end": 710.81, "word": " N", "probability": 0.477783203125}, {"start": 710.81, "end": 711.45, "word": " ناقص", "probability": 0.99072265625}, {"start": 711.45, "end": 712.01, "word": " واحد", "probability": 0.978759765625}, {"start": 712.01, "end": 712.65, "word": " لذا", "probability": 0.599365234375}, {"start": 712.65, "end": 713.39, "word": " حصلنا", "probability": 0.9122721354166666}, {"start": 713.39, "end": 713.69, "word": " على", "probability": 0.83935546875}, {"start": 713.69, "end": 714.03, "word": " اللي", "probability": 0.859375}, {"start": 714.03, "end": 714.35, "word": " هي", "probability": 0.89794921875}, {"start": 714.35, "end": 714.55, "word": " ال", "probability": 0.90576171875}, {"start": 714.55, "end": 714.97, "word": " equality", "probability": 0.7001953125}, {"start": 714.97, "end": 715.29, "word": " اللي", "probability": 0.969970703125}, {"start": 715.29, "end": 715.91, "word": " أمامي", "probability": 0.953857421875}, {"start": 715.91, "end": 716.59, "word": " اللي", "probability": 0.966552734375}, {"start": 716.59, "end": 717.01, "word": " هو", "probability": 0.9580078125}, {"start": 717.01, "end": 718.17, "word": " التالية", "probability": 0.97607421875}, {"start": 718.17, "end": 718.89, "word": " عند", "probability": 0.9365234375}, {"start": 718.89, "end": 719.03, "word": " ال", "probability": 0.99365234375}, {"start": 719.03, "end": 719.55, "word": " integration", "probability": 0.9794921875}, {"start": 719.55, "end": 719.81, "word": " من", "probability": 0.984375}, {"start": 719.81, "end": 720.21, "word": " واحد", "probability": 0.976806640625}, {"start": 720.21, "end": 720.61, "word": " لعند", "probability": 0.9588216145833334}, {"start": 720.61, "end": 720.91, "word": " N", "probability": 0.9384765625}, {"start": 720.91, "end": 721.43, "word": " F", "probability": 0.5419921875}, {"start": 721.43, "end": 721.55, "word": " of", "probability": 0.406494140625}, {"start": 721.55, "end": 722.17, "word": " PDT", "probability": 0.5638427734375}, {"start": 722.17, "end": 723.01, "word": " صارت", "probability": 0.9757486979166666}, {"start": 723.01, "end": 723.29, "word": " بين", "probability": 0.94189453125}, {"start": 723.29, "end": 723.47, "word": " ال", "probability": 0.67529296875}, {"start": 723.47, "end": 723.67, "word": " S", "probability": 0.9189453125}, {"start": 723.67, "end": 723.83, "word": " N", "probability": 0.79931640625}, {"start": 723.83, "end": 724.17, "word": " ناقص", "probability": 0.9873046875}, {"start": 724.17, "end": 724.71, "word": " واحد", "probability": 0.983642578125}, {"start": 724.71, "end": 725.61, "word": " وأكبر", "probability": 0.8147786458333334}, {"start": 725.61, "end": 725.79, "word": " أو", "probability": 0.84716796875}, {"start": 725.79, "end": 726.19, "word": " يساوي", "probability": 0.986328125}, {"start": 726.19, "end": 726.51, "word": " S", "probability": 0.83251953125}, {"start": 726.51, "end": 726.83, "word": " N", "probability": 0.91943359375}, {"start": 726.83, "end": 727.77, "word": " ناقص", "probability": 0.9849853515625}, {"start": 727.77, "end": 728.05, "word": " اللي", "probability": 0.799072265625}, {"start": 728.05, "end": 728.31, "word": " هي", "probability": 0.85986328125}, {"start": 728.31, "end": 728.73, "word": " F", "probability": 0.951171875}, {"start": 728.73, "end": 729.37, "word": " of", "probability": 0.84521484375}, {"start": 729.37, "end": 729.75, "word": " واحد", "probability": 0.990966796875}, {"start": 729.75, "end": 730.43, "word": " طيب", "probability": 0.9202473958333334}, {"start": 730.43, "end": 731.63, "word": " نيجي", "probability": 0.79473876953125}, {"start": 731.63, "end": 731.95, "word": " الآن", "probability": 0.7158203125}, {"start": 731.95, "end": 732.71, "word": " نكمل", "probability": 0.93994140625}, {"start": 732.71, "end": 733.29, "word": " اللي", "probability": 0.950439453125}], "temperature": 1.0}, {"id": 35, "seek": 76254, "start": 733.94, "end": 762.54, "text": "بدنا ياه او نوصل للي بدنا ياه الان عندي اللي هو صارت اللي هي القيمة هذه هيها بين اللي هو S N ناقص واحد و اكبر او يساوي S N ناقص مين F of واحد الان لو فرضنا ان ال limit لل S N exist يعني ال series هذه ال summation مع ناخر F of K من واحد لما لها نهاية او من اتنين لما نهاية exist", "tokens": [44510, 8315, 7251, 40294, 1975, 2407, 8717, 2407, 36520, 5296, 20292, 47525, 8315, 7251, 40294, 2423, 7649, 18871, 16254, 13672, 1829, 31439, 20328, 9640, 2655, 13672, 1829, 39896, 25062, 32640, 3660, 29538, 39896, 11296, 49374, 13672, 1829, 31439, 318, 426, 8717, 995, 4587, 9381, 36764, 24401, 4032, 1975, 4117, 26890, 1975, 2407, 7251, 3794, 995, 45865, 318, 426, 8717, 995, 4587, 9381, 3714, 9957, 479, 295, 36764, 24401, 2423, 7649, 45164, 6156, 43042, 8315, 16472, 2423, 4948, 24976, 318, 426, 2514, 37495, 22653, 2423, 2638, 29538, 2423, 28811, 20449, 8717, 47283, 2288, 479, 295, 591, 9154, 36764, 24401, 5296, 15042, 5296, 11296, 8717, 11296, 10632, 1975, 2407, 9154, 1975, 2655, 1863, 9957, 5296, 15042, 8717, 11296, 10632, 2514], "avg_logprob": -0.2661501955585319, "compression_ratio": 1.8936170212765957, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 733.94, "end": 734.52, "word": "بدنا", "probability": 0.430908203125}, {"start": 734.52, "end": 734.98, "word": " ياه", "probability": 0.45361328125}, {"start": 734.98, "end": 737.2, "word": " او", "probability": 0.45849609375}, {"start": 737.2, "end": 737.44, "word": " نوصل", "probability": 0.85498046875}, {"start": 737.44, "end": 737.76, "word": " للي", "probability": 0.675048828125}, {"start": 737.76, "end": 738.08, "word": " بدنا", "probability": 0.981689453125}, {"start": 738.08, "end": 738.34, "word": " ياه", "probability": 0.885986328125}, {"start": 738.34, "end": 738.86, "word": " الان", "probability": 0.6837158203125}, {"start": 738.86, "end": 741.1, "word": " عندي", "probability": 0.6383056640625}, {"start": 741.1, "end": 741.38, "word": " اللي", "probability": 0.863525390625}, {"start": 741.38, "end": 741.7, "word": " هو", "probability": 0.61328125}, {"start": 741.7, "end": 742.38, "word": " صارت", "probability": 0.83984375}, {"start": 742.38, "end": 742.64, "word": " اللي", "probability": 0.797119140625}, {"start": 742.64, "end": 742.82, "word": " هي", "probability": 0.88720703125}, {"start": 742.82, "end": 743.34, "word": " القيمة", "probability": 0.9254557291666666}, {"start": 743.34, "end": 743.76, "word": " هذه", "probability": 0.7138671875}, {"start": 743.76, "end": 744.38, "word": " هيها", "probability": 0.5849609375}, {"start": 744.38, "end": 745.7, "word": " بين", "probability": 0.9609375}, {"start": 745.7, "end": 746.08, "word": " اللي", "probability": 0.955322265625}, {"start": 746.08, "end": 746.44, "word": " هو", "probability": 0.970703125}, {"start": 746.44, "end": 746.8, "word": " S", "probability": 0.2425537109375}, {"start": 746.8, "end": 746.92, "word": " N", "probability": 0.262451171875}, {"start": 746.92, "end": 747.3, "word": " ناقص", "probability": 0.94482421875}, {"start": 747.3, "end": 747.8, "word": " واحد", "probability": 0.984130859375}, {"start": 747.8, "end": 748.36, "word": " و", "probability": 0.6630859375}, {"start": 748.36, "end": 748.68, "word": " اكبر", "probability": 0.7368977864583334}, {"start": 748.68, "end": 748.82, "word": " او", "probability": 0.722412109375}, {"start": 748.82, "end": 749.14, "word": " يساوي", "probability": 0.8768310546875}, {"start": 749.14, "end": 749.44, "word": " S", "probability": 0.8955078125}, {"start": 749.44, "end": 749.74, "word": " N", "probability": 0.953125}, {"start": 749.74, "end": 750.34, "word": " ناقص", "probability": 0.9874267578125}, {"start": 750.34, "end": 750.84, "word": " مين", "probability": 0.890625}, {"start": 750.84, "end": 751.3, "word": " F", "probability": 0.85400390625}, {"start": 751.3, "end": 751.72, "word": " of", "probability": 0.75048828125}, {"start": 751.72, "end": 752.12, "word": " واحد", "probability": 0.992919921875}, {"start": 752.12, "end": 753.02, "word": " الان", "probability": 0.818359375}, {"start": 753.02, "end": 753.22, "word": " لو", "probability": 0.96923828125}, {"start": 753.22, "end": 753.72, "word": " فرضنا", "probability": 0.9962565104166666}, {"start": 753.72, "end": 753.9, "word": " ان", "probability": 0.78662109375}, {"start": 753.9, "end": 754.04, "word": " ال", "probability": 0.36767578125}, {"start": 754.04, "end": 754.4, "word": " limit", "probability": 0.9169921875}, {"start": 754.4, "end": 754.74, "word": " لل", "probability": 0.68115234375}, {"start": 754.74, "end": 755.16, "word": " S", "probability": 0.75}, {"start": 755.16, "end": 755.54, "word": " N", "probability": 0.900390625}, {"start": 755.54, "end": 756.06, "word": " exist", "probability": 0.630859375}, {"start": 756.06, "end": 756.44, "word": " يعني", "probability": 0.93603515625}, {"start": 756.44, "end": 756.6, "word": " ال", "probability": 0.513671875}, {"start": 756.6, "end": 756.98, "word": " series", "probability": 0.92431640625}, {"start": 756.98, "end": 757.24, "word": " هذه", "probability": 0.73779296875}, {"start": 757.24, "end": 757.38, "word": " ال", "probability": 0.845703125}, {"start": 757.38, "end": 757.88, "word": " summation", "probability": 0.896484375}, {"start": 757.88, "end": 758.46, "word": " مع", "probability": 0.78271484375}, {"start": 758.46, "end": 758.92, "word": " ناخر", "probability": 0.5316569010416666}, {"start": 758.92, "end": 759.08, "word": " F", "probability": 0.77734375}, {"start": 759.08, "end": 759.26, "word": " of", "probability": 0.75830078125}, {"start": 759.26, "end": 759.46, "word": " K", "probability": 0.83447265625}, {"start": 759.46, "end": 759.88, "word": " من", "probability": 0.63916015625}, {"start": 759.88, "end": 760.2, "word": " واحد", "probability": 0.989013671875}, {"start": 760.2, "end": 760.66, "word": " لما", "probability": 0.66259765625}, {"start": 760.66, "end": 760.94, "word": " لها", "probability": 0.910400390625}, {"start": 760.94, "end": 761.3, "word": " نهاية", "probability": 0.7604166666666666}, {"start": 761.3, "end": 761.42, "word": " او", "probability": 0.961669921875}, {"start": 761.42, "end": 761.58, "word": " من", "probability": 0.64013671875}, {"start": 761.58, "end": 761.72, "word": " اتنين", "probability": 0.9073486328125}, {"start": 761.72, "end": 761.88, "word": " لما", "probability": 0.97705078125}, {"start": 761.88, "end": 762.24, "word": " نهاية", "probability": 0.8811848958333334}, {"start": 762.24, "end": 762.54, "word": " exist", "probability": 0.9189453125}], "temperature": 1.0}, {"id": 36, "seek": 78028, "start": 763.3, "end": 780.28, "text": "هيكون عندى هذا exist و هذا exist لازم ال limit اللى فى النص ايش ماله برضه يطلع ايش ماله exist اذا صار limit للمبروبر انتجرال exist يعنى لو كانت ال series converts هتكون المبروبر انتجرال ايش ماله converts", "tokens": [3224, 1829, 30544, 43242, 7578, 23758, 2514, 4032, 23758, 2514, 5296, 31377, 2304, 2423, 4948, 13672, 7578, 6156, 7578, 28239, 9381, 1975, 1829, 8592, 3714, 6027, 3224, 4724, 43042, 3224, 7251, 9566, 1211, 3615, 1975, 1829, 8592, 3714, 6027, 3224, 2514, 1975, 15730, 20328, 9640, 4948, 5296, 19528, 26890, 2407, 26890, 16472, 2655, 7435, 2288, 6027, 2514, 37495, 1863, 7578, 45164, 25961, 2655, 2423, 2638, 38874, 8032, 2655, 30544, 9673, 26890, 2407, 26890, 16472, 2655, 7435, 2288, 6027, 1975, 1829, 8592, 3714, 6027, 3224, 38874], "avg_logprob": -0.21257267095321833, "compression_ratio": 1.8757396449704142, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 763.3, "end": 763.78, "word": "هيكون", "probability": 0.8095703125}, {"start": 763.78, "end": 764.42, "word": " عندى", "probability": 0.5408935546875}, {"start": 764.42, "end": 764.96, "word": " هذا", "probability": 0.8076171875}, {"start": 764.96, "end": 765.56, "word": " exist", "probability": 0.71630859375}, {"start": 765.56, "end": 766.18, "word": " و", "probability": 0.611328125}, {"start": 766.18, "end": 766.44, "word": " هذا", "probability": 0.775390625}, {"start": 766.44, "end": 767.0, "word": " exist", "probability": 0.92236328125}, {"start": 767.0, "end": 767.56, "word": " لازم", "probability": 0.9318033854166666}, {"start": 767.56, "end": 767.68, "word": " ال", "probability": 0.791015625}, {"start": 767.68, "end": 767.96, "word": " limit", "probability": 0.7998046875}, {"start": 767.96, "end": 768.16, "word": " اللى", "probability": 0.9638671875}, {"start": 768.16, "end": 768.32, "word": " فى", "probability": 0.849365234375}, {"start": 768.32, "end": 768.6, "word": " النص", "probability": 0.555419921875}, {"start": 768.6, "end": 768.84, "word": " ايش", "probability": 0.60595703125}, {"start": 768.84, "end": 769.3, "word": " ماله", "probability": 0.8253580729166666}, {"start": 769.3, "end": 770.0, "word": " برضه", "probability": 0.958984375}, {"start": 770.0, "end": 770.38, "word": " يطلع", "probability": 0.959228515625}, {"start": 770.38, "end": 770.64, "word": " ايش", "probability": 0.8728841145833334}, {"start": 770.64, "end": 771.06, "word": " ماله", "probability": 0.96337890625}, {"start": 771.06, "end": 771.64, "word": " exist", "probability": 0.87548828125}, {"start": 771.64, "end": 771.9, "word": " اذا", "probability": 0.6158447265625}, {"start": 771.9, "end": 772.18, "word": " صار", "probability": 0.938232421875}, {"start": 772.18, "end": 772.5, "word": " limit", "probability": 0.94921875}, {"start": 772.5, "end": 773.1, "word": " للمبروبر", "probability": 0.70107421875}, {"start": 773.1, "end": 773.64, "word": " انتجرال", "probability": 0.80908203125}, {"start": 773.64, "end": 774.02, "word": " exist", "probability": 0.88818359375}, {"start": 774.02, "end": 774.58, "word": " يعنى", "probability": 0.7999674479166666}, {"start": 774.58, "end": 774.76, "word": " لو", "probability": 0.9853515625}, {"start": 774.76, "end": 775.12, "word": " كانت", "probability": 0.986083984375}, {"start": 775.12, "end": 775.26, "word": " ال", "probability": 0.89404296875}, {"start": 775.26, "end": 775.68, "word": " series", "probability": 0.953125}, {"start": 775.68, "end": 776.54, "word": " converts", "probability": 0.8330078125}, {"start": 776.54, "end": 777.36, "word": " هتكون", "probability": 0.8802083333333334}, {"start": 777.36, "end": 778.0, "word": " المبروبر", "probability": 0.684417724609375}, {"start": 778.0, "end": 778.6, "word": " انتجرال", "probability": 0.96494140625}, {"start": 778.6, "end": 778.88, "word": " ايش", "probability": 0.9163411458333334}, {"start": 778.88, "end": 779.34, "word": " ماله", "probability": 0.943359375}, {"start": 779.34, "end": 780.28, "word": " converts", "probability": 0.9453125}], "temperature": 1.0}, {"id": 37, "seek": 80860, "start": 780.58, "end": 808.6, "text": "الان بنفس الطريقة هنعمل مين؟ هنعمل اللي هو بالنسبالة مين؟ بالنسبالة اللي هي conversely بدنا نفترض أن الـ improper integral converge ونصل أنه ال series converge الان زي ما قلنا Sn ناقص F of 1 طلعت عندي أصغر أو ساوي ال integration من 1 ل N F of T DT وهذا أصغر أو ساوي Sn ناقص 1", "tokens": [6027, 7649, 44945, 36178, 41950, 16572, 28671, 8032, 1863, 25957, 1211, 3714, 9957, 22807, 8032, 1863, 25957, 1211, 13672, 1829, 31439, 20666, 1863, 35457, 6027, 3660, 3714, 9957, 22807, 20666, 1863, 35457, 6027, 3660, 13672, 1829, 39896, 2615, 736, 47525, 8315, 8717, 5172, 2655, 43042, 14739, 2423, 39184, 40651, 11573, 41881, 4032, 1863, 36520, 14739, 3224, 2423, 2638, 41881, 2423, 7649, 30767, 1829, 19446, 12174, 1211, 8315, 9264, 8717, 995, 4587, 9381, 479, 295, 502, 23032, 1211, 34268, 18871, 16254, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 2423, 10980, 9154, 502, 5296, 426, 479, 295, 314, 413, 51, 37037, 15730, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 9264, 8717, 995, 4587, 9381, 502], "avg_logprob": -0.23585667576769304, "compression_ratio": 1.7344398340248963, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 780.58, "end": 781.06, "word": "الان", "probability": 0.662109375}, {"start": 781.06, "end": 781.5, "word": " بنفس", "probability": 0.987060546875}, {"start": 781.5, "end": 782.06, "word": " الطريقة", "probability": 0.9811197916666666}, {"start": 782.06, "end": 782.66, "word": " هنعمل", "probability": 0.9207763671875}, {"start": 782.66, "end": 783.44, "word": " مين؟", "probability": 0.4873046875}, {"start": 783.44, "end": 784.08, "word": " هنعمل", "probability": 0.967041015625}, {"start": 784.08, "end": 784.32, "word": " اللي", "probability": 0.913330078125}, {"start": 784.32, "end": 784.54, "word": " هو", "probability": 0.99365234375}, {"start": 784.54, "end": 785.34, "word": " بالنسبالة", "probability": 0.79091796875}, {"start": 785.34, "end": 786.06, "word": " مين؟", "probability": 0.8854166666666666}, {"start": 786.06, "end": 786.92, "word": " بالنسبالة", "probability": 0.95869140625}, {"start": 786.92, "end": 787.08, "word": " اللي", "probability": 0.5941162109375}, {"start": 787.08, "end": 787.28, "word": " هي", "probability": 0.892578125}, {"start": 787.28, "end": 788.08, "word": " conversely", "probability": 0.5203857421875}, {"start": 788.08, "end": 788.82, "word": " بدنا", "probability": 0.662841796875}, {"start": 788.82, "end": 789.3, "word": " نفترض", "probability": 0.989501953125}, {"start": 789.3, "end": 789.5, "word": " أن", "probability": 0.346923828125}, {"start": 789.5, "end": 789.76, "word": " الـ", "probability": 0.48870849609375}, {"start": 789.76, "end": 789.98, "word": " improper", "probability": 0.3046875}, {"start": 789.98, "end": 790.54, "word": " integral", "probability": 0.8203125}, {"start": 790.54, "end": 791.18, "word": " converge", "probability": 0.455078125}, {"start": 791.18, "end": 791.64, "word": " ونصل", "probability": 0.8343098958333334}, {"start": 791.64, "end": 792.44, "word": " أنه", "probability": 0.732177734375}, {"start": 792.44, "end": 792.62, "word": " ال", "probability": 0.89794921875}, {"start": 792.62, "end": 792.94, "word": " series", "probability": 0.79150390625}, {"start": 792.94, "end": 793.8, "word": " converge", "probability": 0.9345703125}, {"start": 793.8, "end": 794.68, "word": " الان", "probability": 0.7005615234375}, {"start": 794.68, "end": 795.3, "word": " زي", "probability": 0.937744140625}, {"start": 795.3, "end": 795.4, "word": " ما", "probability": 0.9873046875}, {"start": 795.4, "end": 795.76, "word": " قلنا", "probability": 0.9220377604166666}, {"start": 795.76, "end": 796.36, "word": " Sn", "probability": 0.38916015625}, {"start": 796.36, "end": 798.3, "word": " ناقص", "probability": 0.8367919921875}, {"start": 798.3, "end": 798.5, "word": " F", "probability": 0.650390625}, {"start": 798.5, "end": 798.68, "word": " of", "probability": 0.383056640625}, {"start": 798.68, "end": 799.18, "word": " 1", "probability": 0.646484375}, {"start": 799.18, "end": 799.8, "word": " طلعت", "probability": 0.8876953125}, {"start": 799.8, "end": 800.12, "word": " عندي", "probability": 0.891845703125}, {"start": 800.12, "end": 800.52, "word": " أصغر", "probability": 0.9688720703125}, {"start": 800.52, "end": 800.66, "word": " أو", "probability": 0.943359375}, {"start": 800.66, "end": 801.04, "word": " ساوي", "probability": 0.76220703125}, {"start": 801.04, "end": 801.18, "word": " ال", "probability": 0.95166015625}, {"start": 801.18, "end": 801.66, "word": " integration", "probability": 0.92333984375}, {"start": 801.66, "end": 802.0, "word": " من", "probability": 0.98974609375}, {"start": 802.0, "end": 802.3, "word": " 1", "probability": 0.90673828125}, {"start": 802.3, "end": 802.48, "word": " ل", "probability": 0.892578125}, {"start": 802.48, "end": 802.98, "word": " N", "probability": 0.4423828125}, {"start": 802.98, "end": 803.72, "word": " F", "probability": 0.78857421875}, {"start": 803.72, "end": 803.96, "word": " of", "probability": 0.73486328125}, {"start": 803.96, "end": 804.38, "word": " T", "probability": 0.86962890625}, {"start": 804.38, "end": 805.48, "word": " DT", "probability": 0.596923828125}, {"start": 805.48, "end": 806.16, "word": " وهذا", "probability": 0.7080078125}, {"start": 806.16, "end": 806.58, "word": " أصغر", "probability": 0.988037109375}, {"start": 806.58, "end": 806.72, "word": " أو", "probability": 0.97998046875}, {"start": 806.72, "end": 807.02, "word": " ساوي", "probability": 0.9591471354166666}, {"start": 807.02, "end": 807.64, "word": " Sn", "probability": 0.75244140625}, {"start": 807.64, "end": 808.34, "word": " ناقص", "probability": 0.9764404296875}, {"start": 808.34, "end": 808.6, "word": " 1", "probability": 0.84326171875}], "temperature": 1.0}, {"id": 38, "seek": 83670, "start": 809.36, "end": 836.7, "text": "الان انا زي ما حصرت اللي هي فرضت انا limit الاس ان exist وحصرت ال integration بين اللي هو اتنين ال summation هدول ال partial sums وقلنا هذا exist ال limit له و هذا exist له اذا هذا ايه الشمال اللي جوا exist بدي اعمل في ال integration او في ال integration اللي عملته مع اللي هو مين اللي هو ال partial sums او الimprover integral مع ال series كيف؟", "tokens": [6027, 7649, 1975, 8315, 30767, 1829, 19446, 11331, 9381, 43500, 13672, 1829, 39896, 6156, 43042, 2655, 1975, 8315, 4948, 2423, 32277, 16472, 2514, 4032, 5016, 9381, 43500, 2423, 10980, 49374, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 2423, 28811, 8032, 3215, 12610, 2423, 14641, 34499, 4032, 4587, 1211, 8315, 23758, 2514, 2423, 4948, 46740, 4032, 23758, 2514, 46740, 1975, 15730, 23758, 1975, 1829, 3224, 25124, 2304, 6027, 13672, 1829, 10874, 14407, 2514, 4724, 16254, 1975, 25957, 1211, 8978, 2423, 10980, 1975, 2407, 8978, 2423, 10980, 13672, 1829, 6225, 42213, 47395, 20449, 13672, 1829, 31439, 3714, 9957, 13672, 1829, 31439, 2423, 14641, 34499, 1975, 2407, 2423, 332, 4318, 331, 11573, 20449, 2423, 2638, 9122, 33911, 22807], "avg_logprob": -0.23612607077791772, "compression_ratio": 2.095435684647303, "no_speech_prob": 0.0, "words": [{"start": 809.36, "end": 809.84, "word": "الان", "probability": 0.778564453125}, {"start": 809.84, "end": 810.12, "word": " انا", "probability": 0.78466796875}, {"start": 810.12, "end": 810.28, "word": " زي", "probability": 0.875244140625}, {"start": 810.28, "end": 810.36, "word": " ما", "probability": 0.921875}, {"start": 810.36, "end": 810.84, "word": " حصرت", "probability": 0.8766276041666666}, {"start": 810.84, "end": 811.08, "word": " اللي", "probability": 0.761474609375}, {"start": 811.08, "end": 811.42, "word": " هي", "probability": 0.87255859375}, {"start": 811.42, "end": 812.1, "word": " فرضت", "probability": 0.9666341145833334}, {"start": 812.1, "end": 812.34, "word": " انا", "probability": 0.792724609375}, {"start": 812.34, "end": 812.64, "word": " limit", "probability": 0.41796875}, {"start": 812.64, "end": 813.1, "word": " الاس", "probability": 0.47503662109375}, {"start": 813.1, "end": 813.4, "word": " ان", "probability": 0.388916015625}, {"start": 813.4, "end": 813.94, "word": " exist", "probability": 0.7158203125}, {"start": 813.94, "end": 815.24, "word": " وحصرت", "probability": 0.879638671875}, {"start": 815.24, "end": 815.36, "word": " ال", "probability": 0.98583984375}, {"start": 815.36, "end": 815.92, "word": " integration", "probability": 0.97216796875}, {"start": 815.92, "end": 816.36, "word": " بين", "probability": 0.962890625}, {"start": 816.36, "end": 816.54, "word": " اللي", "probability": 0.890625}, {"start": 816.54, "end": 816.8, "word": " هو", "probability": 0.97021484375}, {"start": 816.8, "end": 817.5, "word": " اتنين", "probability": 0.797119140625}, {"start": 817.5, "end": 817.64, "word": " ال", "probability": 0.92041015625}, {"start": 817.64, "end": 818.12, "word": " summation", "probability": 0.85546875}, {"start": 818.12, "end": 818.52, "word": " هدول", "probability": 0.8636067708333334}, {"start": 818.52, "end": 818.64, "word": " ال", "probability": 0.69091796875}, {"start": 818.64, "end": 818.9, "word": " partial", "probability": 0.84375}, {"start": 818.9, "end": 819.38, "word": " sums", "probability": 0.92578125}, {"start": 819.38, "end": 820.24, "word": " وقلنا", "probability": 0.75286865234375}, {"start": 820.24, "end": 820.78, "word": " هذا", "probability": 0.91015625}, {"start": 820.78, "end": 821.22, "word": " exist", "probability": 0.71484375}, {"start": 821.22, "end": 821.4, "word": " ال", "probability": 0.365478515625}, {"start": 821.4, "end": 821.62, "word": " limit", "probability": 0.69140625}, {"start": 821.62, "end": 821.76, "word": " له", "probability": 0.6669921875}, {"start": 821.76, "end": 821.86, "word": " و", "probability": 0.666015625}, {"start": 821.86, "end": 821.96, "word": " هذا", "probability": 0.52490234375}, {"start": 821.96, "end": 822.3, "word": " exist", "probability": 0.89208984375}, {"start": 822.3, "end": 822.52, "word": " له", "probability": 0.896484375}, {"start": 822.52, "end": 822.74, "word": " اذا", "probability": 0.552490234375}, {"start": 822.74, "end": 822.96, "word": " هذا", "probability": 0.8310546875}, {"start": 822.96, "end": 823.12, "word": " ايه", "probability": 0.648681640625}, {"start": 823.12, "end": 823.36, "word": " الشمال", "probability": 0.7220865885416666}, {"start": 823.36, "end": 823.56, "word": " اللي", "probability": 0.963134765625}, {"start": 823.56, "end": 824.48, "word": " جوا", "probability": 0.778564453125}, {"start": 824.48, "end": 825.28, "word": " exist", "probability": 0.9013671875}, {"start": 825.28, "end": 825.66, "word": " بدي", "probability": 0.6502685546875}, {"start": 825.66, "end": 826.14, "word": " اعمل", "probability": 0.9752604166666666}, {"start": 826.14, "end": 826.76, "word": " في", "probability": 0.92041015625}, {"start": 826.76, "end": 826.94, "word": " ال", "probability": 0.99609375}, {"start": 826.94, "end": 827.76, "word": " integration", "probability": 0.97509765625}, {"start": 827.76, "end": 828.7, "word": " او", "probability": 0.818115234375}, {"start": 828.7, "end": 828.88, "word": " في", "probability": 0.92578125}, {"start": 828.88, "end": 829.04, "word": " ال", "probability": 0.99560546875}, {"start": 829.04, "end": 829.6, "word": " integration", "probability": 0.98193359375}, {"start": 829.6, "end": 830.28, "word": " اللي", "probability": 0.979736328125}, {"start": 830.28, "end": 830.74, "word": " عملته", "probability": 0.9793294270833334}, {"start": 830.74, "end": 831.02, "word": " مع", "probability": 0.98779296875}, {"start": 831.02, "end": 831.3, "word": " اللي", "probability": 0.97705078125}, {"start": 831.3, "end": 831.46, "word": " هو", "probability": 0.98876953125}, {"start": 831.46, "end": 831.84, "word": " مين", "probability": 0.922607421875}, {"start": 831.84, "end": 832.24, "word": " اللي", "probability": 0.98046875}, {"start": 832.24, "end": 832.42, "word": " هو", "probability": 0.98828125}, {"start": 832.42, "end": 832.54, "word": " ال", "probability": 0.857421875}, {"start": 832.54, "end": 832.82, "word": " partial", "probability": 0.9560546875}, {"start": 832.82, "end": 833.3, "word": " sums", "probability": 0.9267578125}, {"start": 833.3, "end": 833.58, "word": " او", "probability": 0.93994140625}, {"start": 833.58, "end": 834.02, "word": " الimprover", "probability": 0.56591796875}, {"start": 834.02, "end": 834.52, "word": " integral", "probability": 0.75830078125}, {"start": 834.52, "end": 834.88, "word": " مع", "probability": 0.98681640625}, {"start": 834.88, "end": 835.24, "word": " ال", "probability": 0.87890625}, {"start": 835.24, "end": 835.6, "word": " series", "probability": 0.96337890625}, {"start": 835.6, "end": 836.7, "word": " كيف؟", "probability": 0.9280598958333334}], "temperature": 1.0}, {"id": 39, "seek": 86609, "start": 837.33, "end": 866.09, "text": "لأن هذا صحيح لكل ان باشي الحال الان عندى هذا أكيد أكبر أو يساوي الان لو قولنا أصغر أو يساوي أسئل ناقص واحد عندى أسئل ناقص أفف واحد أكبر أو يساوي هذا أصغر أو يساوي هذا وهذا أصغر أو يساوي مين؟ الثاني اللى عندى هذا الآن عندى بدي أحصر هذا أخليه بين two integrations أو أخلي هذا بين two integrations أي واحد منهم بنفع", "tokens": [1211, 33456, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 16472, 4724, 33599, 1829, 21542, 6027, 2423, 7649, 43242, 7578, 23758, 5551, 4117, 25708, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 7649, 45164, 12174, 12610, 8315, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 5551, 3794, 19986, 1211, 8717, 995, 4587, 9381, 36764, 24401, 43242, 7578, 5551, 3794, 19986, 1211, 8717, 995, 4587, 9381, 5551, 5172, 5172, 36764, 24401, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 23758, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 37037, 15730, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 3714, 9957, 22807, 6024, 104, 7649, 1829, 13672, 7578, 43242, 7578, 23758, 6024, 48506, 43242, 7578, 4724, 16254, 5551, 5016, 9381, 2288, 23758, 5551, 9778, 20292, 3224, 49374, 732, 3572, 763, 34051, 5551, 9778, 20292, 23758, 49374, 732, 3572, 763, 36632, 36764, 24401, 9154, 16095, 44945, 5172, 3615], "avg_logprob": -0.19750000496705372, "compression_ratio": 2.4027149321266967, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 837.33, "end": 837.75, "word": "لأن", "probability": 0.6143798828125}, {"start": 837.75, "end": 837.95, "word": " هذا", "probability": 0.84716796875}, {"start": 837.95, "end": 838.31, "word": " صحيح", "probability": 0.993408203125}, {"start": 838.31, "end": 838.67, "word": " لكل", "probability": 0.90185546875}, {"start": 838.67, "end": 838.87, "word": " ان", "probability": 0.41845703125}, {"start": 838.87, "end": 839.25, "word": " باشي", "probability": 0.6471761067708334}, {"start": 839.25, "end": 839.59, "word": " الحال", "probability": 0.96875}, {"start": 839.59, "end": 840.75, "word": " الان", "probability": 0.5765380859375}, {"start": 840.75, "end": 841.71, "word": " عندى", "probability": 0.633056640625}, {"start": 841.71, "end": 841.97, "word": " هذا", "probability": 0.7724609375}, {"start": 841.97, "end": 842.51, "word": " أكيد", "probability": 0.7942708333333334}, {"start": 842.51, "end": 843.23, "word": " أكبر", "probability": 0.93408203125}, {"start": 843.23, "end": 843.45, "word": " أو", "probability": 0.81298828125}, {"start": 843.45, "end": 844.05, "word": " يساوي", "probability": 0.97802734375}, {"start": 844.05, "end": 845.17, "word": " الان", "probability": 0.6317138671875}, {"start": 845.17, "end": 845.35, "word": " لو", "probability": 0.94189453125}, {"start": 845.35, "end": 845.63, "word": " قولنا", "probability": 0.8388671875}, {"start": 845.63, "end": 846.03, "word": " أصغر", "probability": 0.955322265625}, {"start": 846.03, "end": 846.19, "word": " أو", "probability": 0.7890625}, {"start": 846.19, "end": 846.41, "word": " يساوي", "probability": 0.9501953125}, {"start": 846.41, "end": 846.69, "word": " أسئل", "probability": 0.732421875}, {"start": 846.69, "end": 846.99, "word": " ناقص", "probability": 0.837158203125}, {"start": 846.99, "end": 847.49, "word": " واحد", "probability": 0.983642578125}, {"start": 847.49, "end": 848.31, "word": " عندى", "probability": 0.57470703125}, {"start": 848.31, "end": 848.77, "word": " أسئل", "probability": 0.96484375}, {"start": 848.77, "end": 849.17, "word": " ناقص", "probability": 0.9881591796875}, {"start": 849.17, "end": 849.47, "word": " أفف", "probability": 0.7838541666666666}, {"start": 849.47, "end": 849.77, "word": " واحد", "probability": 0.986083984375}, {"start": 849.77, "end": 850.09, "word": " أكبر", "probability": 0.9534505208333334}, {"start": 850.09, "end": 850.19, "word": " أو", "probability": 0.97265625}, {"start": 850.19, "end": 850.53, "word": " يساوي", "probability": 0.9794921875}, {"start": 850.53, "end": 850.87, "word": " هذا", "probability": 0.9560546875}, {"start": 850.87, "end": 851.21, "word": " أصغر", "probability": 0.922607421875}, {"start": 851.21, "end": 851.31, "word": " أو", "probability": 0.97412109375}, {"start": 851.31, "end": 851.53, "word": " يساوي", "probability": 0.984130859375}, {"start": 851.53, "end": 851.85, "word": " هذا", "probability": 0.94921875}, {"start": 851.85, "end": 852.51, "word": " وهذا", "probability": 0.6778564453125}, {"start": 852.51, "end": 852.87, "word": " أصغر", "probability": 0.9859619140625}, {"start": 852.87, "end": 852.97, "word": " أو", "probability": 0.95458984375}, {"start": 852.97, "end": 853.23, "word": " يساوي", "probability": 0.9866943359375}, {"start": 853.23, "end": 853.79, "word": " مين؟", "probability": 0.5975748697916666}, {"start": 853.79, "end": 854.45, "word": " الثاني", "probability": 0.8048095703125}, {"start": 854.45, "end": 854.69, "word": " اللى", "probability": 0.8330078125}, {"start": 854.69, "end": 855.57, "word": " عندى", "probability": 0.7335205078125}, {"start": 855.57, "end": 855.93, "word": " هذا", "probability": 0.85986328125}, {"start": 855.93, "end": 856.55, "word": " الآن", "probability": 0.6878662109375}, {"start": 856.55, "end": 857.57, "word": " عندى", "probability": 0.817626953125}, {"start": 857.57, "end": 858.19, "word": " بدي", "probability": 0.6846923828125}, {"start": 858.19, "end": 858.73, "word": " أحصر", "probability": 0.848876953125}, {"start": 858.73, "end": 859.01, "word": " هذا", "probability": 0.94287109375}, {"start": 859.01, "end": 859.81, "word": " أخليه", "probability": 0.8392333984375}, {"start": 859.81, "end": 860.09, "word": " بين", "probability": 0.67041015625}, {"start": 860.09, "end": 860.57, "word": " two", "probability": 0.87890625}, {"start": 860.57, "end": 861.83, "word": " integrations", "probability": 0.933349609375}, {"start": 861.83, "end": 862.13, "word": " أو", "probability": 0.57958984375}, {"start": 862.13, "end": 862.53, "word": " أخلي", "probability": 0.85595703125}, {"start": 862.53, "end": 862.79, "word": " هذا", "probability": 0.95556640625}, {"start": 862.79, "end": 863.03, "word": " بين", "probability": 0.984375}, {"start": 863.03, "end": 863.43, "word": " two", "probability": 0.9521484375}, {"start": 863.43, "end": 864.49, "word": " integrations", "probability": 0.9716796875}, {"start": 864.49, "end": 864.71, "word": " أي", "probability": 0.61572265625}, {"start": 864.71, "end": 864.99, "word": " واحد", "probability": 0.9912109375}, {"start": 864.99, "end": 865.45, "word": " منهم", "probability": 0.63671875}, {"start": 865.45, "end": 866.09, "word": " بنفع", "probability": 0.8269856770833334}], "temperature": 1.0}, {"id": 40, "seek": 88080, "start": 866.68, "end": 880.8, "text": "الأن عندي من هذا نفسه ال integration من واحد لعلن f of t dt صار اللي هو زائد f of واحد أكبر أو يساوي مين ال sn", "tokens": [6027, 33456, 18871, 16254, 9154, 23758, 8717, 36178, 3224, 2423, 10980, 9154, 36764, 24401, 5296, 30241, 1863, 283, 295, 256, 36423, 20328, 9640, 13672, 1829, 31439, 30767, 16373, 3215, 283, 295, 36764, 24401, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 3714, 9957, 2423, 2406], "avg_logprob": -0.27564537266026373, "compression_ratio": 1.303030303030303, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 866.68, "end": 867.12, "word": "الأن", "probability": 0.599853515625}, {"start": 867.12, "end": 868.14, "word": " عندي", "probability": 0.81689453125}, {"start": 868.14, "end": 868.32, "word": " من", "probability": 0.96142578125}, {"start": 868.32, "end": 868.6, "word": " هذا", "probability": 0.9443359375}, {"start": 868.6, "end": 869.04, "word": " نفسه", "probability": 0.9861653645833334}, {"start": 869.04, "end": 869.16, "word": " ال", "probability": 0.91455078125}, {"start": 869.16, "end": 869.64, "word": " integration", "probability": 0.91552734375}, {"start": 869.64, "end": 869.96, "word": " من", "probability": 0.96044921875}, {"start": 869.96, "end": 870.3, "word": " واحد", "probability": 0.7325439453125}, {"start": 870.3, "end": 870.78, "word": " لعلن", "probability": 0.6285807291666666}, {"start": 870.78, "end": 871.22, "word": " f", "probability": 0.461669921875}, {"start": 871.22, "end": 871.44, "word": " of", "probability": 0.2169189453125}, {"start": 871.44, "end": 871.88, "word": " t", "probability": 0.5810546875}, {"start": 871.88, "end": 873.0, "word": " dt", "probability": 0.69287109375}, {"start": 873.0, "end": 874.12, "word": " صار", "probability": 0.948486328125}, {"start": 874.12, "end": 874.56, "word": " اللي", "probability": 0.9306640625}, {"start": 874.56, "end": 875.22, "word": " هو", "probability": 0.9912109375}, {"start": 875.22, "end": 876.16, "word": " زائد", "probability": 0.744140625}, {"start": 876.16, "end": 877.0, "word": " f", "probability": 0.77587890625}, {"start": 877.0, "end": 877.22, "word": " of", "probability": 0.7607421875}, {"start": 877.22, "end": 877.86, "word": " واحد", "probability": 0.98291015625}, {"start": 877.86, "end": 878.94, "word": " أكبر", "probability": 0.8631184895833334}, {"start": 878.94, "end": 879.14, "word": " أو", "probability": 0.77294921875}, {"start": 879.14, "end": 879.5, "word": " يساوي", "probability": 0.774169921875}, {"start": 879.5, "end": 879.92, "word": " مين", "probability": 0.65087890625}, {"start": 879.92, "end": 880.4, "word": " ال", "probability": 0.85888671875}, {"start": 880.4, "end": 880.8, "word": " sn", "probability": 0.08203125}], "temperature": 1.0}, {"id": 41, "seek": 91074, "start": 881.58, "end": 910.74, "text": "ماشي ال S N من هنا من هنا ال S N أكبر أو يساوي اللي هو ال integration من واحد بدل ال N نقص واحد حطيت مين ال N ماشي فبصير عند هذه بدل ال N برضه بتصير ال integration من F of T DT من واحد لعند N زائد واحد لأنه هذه أكبر من هذه بيهاشب واحد هي هذه أكبر من هذه بواحد من الفوق إذا صار عند ال S N بين هذه الكمية و هذه الكمية لأن لو فرضنا أنه ال limit", "tokens": [2304, 33599, 1829, 2423, 318, 426, 9154, 34105, 9154, 34105, 2423, 318, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 13672, 1829, 31439, 2423, 10980, 9154, 36764, 24401, 47525, 1211, 2423, 426, 8717, 4587, 9381, 36764, 24401, 11331, 9566, 36081, 3714, 9957, 2423, 426, 3714, 33599, 1829, 6156, 3555, 9381, 13546, 43242, 29538, 47525, 1211, 2423, 426, 4724, 43042, 3224, 39894, 9381, 13546, 2423, 10980, 9154, 479, 295, 314, 413, 51, 9154, 36764, 24401, 5296, 3615, 41260, 426, 30767, 16373, 3215, 36764, 24401, 5296, 33456, 3224, 29538, 5551, 4117, 26890, 9154, 29538, 4724, 1829, 3224, 33599, 3555, 36764, 24401, 39896, 29538, 5551, 4117, 26890, 9154, 29538, 4724, 14407, 24401, 9154, 27188, 30543, 11933, 15730, 20328, 9640, 43242, 2423, 318, 426, 49374, 29538, 33251, 2304, 10632, 4032, 29538, 33251, 2304, 10632, 5296, 33456, 45164, 6156, 43042, 8315, 14739, 3224, 2423, 4948], "avg_logprob": -0.19080105948616083, "compression_ratio": 2.171875, "no_speech_prob": 8.940696716308594e-06, "words": [{"start": 881.5799999999999, "end": 882.18, "word": "ماشي", "probability": 0.8484700520833334}, {"start": 882.18, "end": 882.78, "word": " ال", "probability": 0.92236328125}, {"start": 882.78, "end": 883.1, "word": " S", "probability": 0.28173828125}, {"start": 883.1, "end": 883.28, "word": " N", "probability": 0.25146484375}, {"start": 883.28, "end": 883.56, "word": " من", "probability": 0.9755859375}, {"start": 883.56, "end": 883.94, "word": " هنا", "probability": 0.94873046875}, {"start": 883.94, "end": 884.48, "word": " من", "probability": 0.45849609375}, {"start": 884.48, "end": 884.7, "word": " هنا", "probability": 0.97314453125}, {"start": 884.7, "end": 884.84, "word": " ال", "probability": 0.77685546875}, {"start": 884.84, "end": 885.06, "word": " S", "probability": 0.96337890625}, {"start": 885.06, "end": 885.26, "word": " N", "probability": 0.97216796875}, {"start": 885.26, "end": 885.7, "word": " أكبر", "probability": 0.9259440104166666}, {"start": 885.7, "end": 885.86, "word": " أو", "probability": 0.83447265625}, {"start": 885.86, "end": 886.42, "word": " يساوي", "probability": 0.97265625}, {"start": 886.42, "end": 886.98, "word": " اللي", "probability": 0.911376953125}, {"start": 886.98, "end": 887.1, "word": " هو", "probability": 0.9853515625}, {"start": 887.1, "end": 887.22, "word": " ال", "probability": 0.96142578125}, {"start": 887.22, "end": 887.76, "word": " integration", "probability": 0.95654296875}, {"start": 887.76, "end": 888.1, "word": " من", "probability": 0.9814453125}, {"start": 888.1, "end": 888.56, "word": " واحد", "probability": 0.9189453125}, {"start": 888.56, "end": 888.9, "word": " بدل", "probability": 0.889892578125}, {"start": 888.9, "end": 889.02, "word": " ال", "probability": 0.89013671875}, {"start": 889.02, "end": 889.16, "word": " N", "probability": 0.82275390625}, {"start": 889.16, "end": 889.46, "word": " نقص", "probability": 0.8994140625}, {"start": 889.46, "end": 889.8, "word": " واحد", "probability": 0.982177734375}, {"start": 889.8, "end": 890.3, "word": " حطيت", "probability": 0.8981119791666666}, {"start": 890.3, "end": 890.56, "word": " مين", "probability": 0.605712890625}, {"start": 890.56, "end": 890.78, "word": " ال", "probability": 0.97265625}, {"start": 890.78, "end": 890.98, "word": " N", "probability": 0.9619140625}, {"start": 890.98, "end": 892.12, "word": " ماشي", "probability": 0.8107096354166666}, {"start": 892.12, "end": 892.94, "word": " فبصير", "probability": 0.8193359375}, {"start": 892.94, "end": 893.16, "word": " عند", "probability": 0.87353515625}, {"start": 893.16, "end": 893.38, "word": " هذه", "probability": 0.52587890625}, {"start": 893.38, "end": 893.68, "word": " بدل", "probability": 0.960205078125}, {"start": 893.68, "end": 893.82, "word": " ال", "probability": 0.958984375}, {"start": 893.82, "end": 894.04, "word": " N", "probability": 0.97998046875}, {"start": 894.04, "end": 894.42, "word": " برضه", "probability": 0.9607747395833334}, {"start": 894.42, "end": 894.78, "word": " بتصير", "probability": 0.9348958333333334}, {"start": 894.78, "end": 894.9, "word": " ال", "probability": 0.9931640625}, {"start": 894.9, "end": 895.3, "word": " integration", "probability": 0.978515625}, {"start": 895.3, "end": 895.5, "word": " من", "probability": 0.260009765625}, {"start": 895.5, "end": 895.68, "word": " F", "probability": 0.7666015625}, {"start": 895.68, "end": 895.88, "word": " of", "probability": 0.70556640625}, {"start": 895.88, "end": 896.22, "word": " T", "probability": 0.9482421875}, {"start": 896.22, "end": 897.5, "word": " DT", "probability": 0.72021484375}, {"start": 897.5, "end": 898.36, "word": " من", "probability": 0.9921875}, {"start": 898.36, "end": 898.74, "word": " واحد", "probability": 0.97900390625}, {"start": 898.74, "end": 899.1, "word": " لعند", "probability": 0.8116861979166666}, {"start": 899.1, "end": 899.42, "word": " N", "probability": 0.93310546875}, {"start": 899.42, "end": 900.0, "word": " زائد", "probability": 0.9435221354166666}, {"start": 900.0, "end": 900.22, "word": " واحد", "probability": 0.978271484375}, {"start": 900.22, "end": 900.52, "word": " لأنه", "probability": 0.6170247395833334}, {"start": 900.52, "end": 900.7, "word": " هذه", "probability": 0.5205078125}, {"start": 900.7, "end": 901.02, "word": " أكبر", "probability": 0.9430338541666666}, {"start": 901.02, "end": 901.16, "word": " من", "probability": 0.95263671875}, {"start": 901.16, "end": 901.42, "word": " هذه", "probability": 0.73486328125}, {"start": 901.42, "end": 901.88, "word": " بيهاشب", "probability": 0.640771484375}, {"start": 901.88, "end": 902.24, "word": " واحد", "probability": 0.982421875}, {"start": 902.24, "end": 902.64, "word": " هي", "probability": 0.603515625}, {"start": 902.64, "end": 902.86, "word": " هذه", "probability": 0.350830078125}, {"start": 902.86, "end": 903.1, "word": " أكبر", "probability": 0.9539388020833334}, {"start": 903.1, "end": 903.24, "word": " من", "probability": 0.96435546875}, {"start": 903.24, "end": 903.44, "word": " هذه", "probability": 0.86328125}, {"start": 903.44, "end": 903.84, "word": " بواحد", "probability": 0.9148763020833334}, {"start": 903.84, "end": 904.04, "word": " من", "probability": 0.7626953125}, {"start": 904.04, "end": 904.44, "word": " الفوق", "probability": 0.5986328125}, {"start": 904.44, "end": 905.02, "word": " إذا", "probability": 0.828857421875}, {"start": 905.02, "end": 905.3, "word": " صار", "probability": 0.97119140625}, {"start": 905.3, "end": 905.5, "word": " عند", "probability": 0.7177734375}, {"start": 905.5, "end": 905.68, "word": " ال", "probability": 0.84912109375}, {"start": 905.68, "end": 905.9, "word": " S", "probability": 0.9814453125}, {"start": 905.9, "end": 906.06, "word": " N", "probability": 0.984375}, {"start": 906.06, "end": 906.34, "word": " بين", "probability": 0.98291015625}, {"start": 906.34, "end": 906.68, "word": " هذه", "probability": 0.9580078125}, {"start": 906.68, "end": 907.22, "word": " الكمية", "probability": 0.7757161458333334}, {"start": 907.22, "end": 907.38, "word": " و", "probability": 0.830078125}, {"start": 907.38, "end": 907.5, "word": " هذه", "probability": 0.7939453125}, {"start": 907.5, "end": 908.12, "word": " الكمية", "probability": 0.92138671875}, {"start": 908.12, "end": 908.76, "word": " لأن", "probability": 0.73486328125}, {"start": 908.76, "end": 908.98, "word": " لو", "probability": 0.9873046875}, {"start": 908.98, "end": 909.82, "word": " فرضنا", "probability": 0.9973958333333334}, {"start": 909.82, "end": 910.22, "word": " أنه", "probability": 0.49560546875}, {"start": 910.22, "end": 910.3, "word": " ال", "probability": 0.845703125}, {"start": 910.3, "end": 910.74, "word": " limit", "probability": 0.96484375}], "temperature": 1.0}, {"id": 42, "seek": 93963, "start": 911.37, "end": 939.63, "text": "للـ integration من 1 ل N F of T DT as N goes to infinity exist مدام هذا exist ال limit إذا حصل هذا كله على بعض هذا limit exist و هذا هيتلع exist إذا اللي هيتلع عنده limit أثر ان إيش exist إذا similarly if limit لل integration أو الimproper integral exist إذا هيتلع limit للأثر ان exist هو يعني وضحتها أمامكم", "tokens": [1211, 1211, 39184, 10980, 9154, 502, 5296, 426, 479, 295, 314, 413, 51, 382, 426, 1709, 281, 13202, 2514, 3714, 3215, 10943, 23758, 2514, 2423, 4948, 11933, 15730, 11331, 36520, 23758, 28242, 3224, 15844, 45030, 11242, 23758, 4948, 2514, 4032, 23758, 8032, 36081, 1211, 3615, 2514, 11933, 15730, 13672, 1829, 8032, 36081, 1211, 3615, 43242, 3224, 4948, 5551, 49115, 16472, 11933, 1829, 8592, 2514, 11933, 15730, 14138, 498, 4948, 24976, 10980, 34051, 2423, 332, 4318, 610, 11573, 2514, 11933, 15730, 8032, 36081, 1211, 3615, 4948, 24976, 10721, 49115, 16472, 2514, 8032, 2407, 37495, 22653, 4032, 11242, 33753, 11296, 5551, 2304, 10943, 24793], "avg_logprob": -0.33040049064506605, "compression_ratio": 1.7637130801687764, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 911.37, "end": 911.83, "word": "للـ", "probability": 0.8499348958333334}, {"start": 911.83, "end": 912.43, "word": " integration", "probability": 0.72314453125}, {"start": 912.43, "end": 912.69, "word": " من", "probability": 0.9423828125}, {"start": 912.69, "end": 912.99, "word": " 1", "probability": 0.8447265625}, {"start": 912.99, "end": 913.23, "word": " ل", "probability": 0.93798828125}, {"start": 913.23, "end": 913.47, "word": " N", "probability": 0.37744140625}, {"start": 913.47, "end": 913.75, "word": " F", "probability": 0.35400390625}, {"start": 913.75, "end": 913.95, "word": " of", "probability": 0.3681640625}, {"start": 913.95, "end": 914.29, "word": " T", "probability": 0.9072265625}, {"start": 914.29, "end": 915.47, "word": " DT", "probability": 0.58984375}, {"start": 915.47, "end": 916.29, "word": " as", "probability": 0.69482421875}, {"start": 916.29, "end": 916.51, "word": " N", "probability": 0.9775390625}, {"start": 916.51, "end": 916.77, "word": " goes", "probability": 0.84814453125}, {"start": 916.77, "end": 916.93, "word": " to", "probability": 0.93798828125}, {"start": 916.93, "end": 917.41, "word": " infinity", "probability": 0.77783203125}, {"start": 917.41, "end": 918.15, "word": " exist", "probability": 0.279052734375}, {"start": 918.15, "end": 919.49, "word": " مدام", "probability": 0.7483723958333334}, {"start": 919.49, "end": 919.75, "word": " هذا", "probability": 0.91455078125}, {"start": 919.75, "end": 920.19, "word": " exist", "probability": 0.70458984375}, {"start": 920.19, "end": 920.41, "word": " ال", "probability": 0.483154296875}, {"start": 920.41, "end": 920.85, "word": " limit", "probability": 0.5546875}, {"start": 920.85, "end": 921.45, "word": " إذا", "probability": 0.73876953125}, {"start": 921.45, "end": 921.69, "word": " حصل", "probability": 0.5792236328125}, {"start": 921.69, "end": 921.87, "word": " هذا", "probability": 0.76416015625}, {"start": 921.87, "end": 922.09, "word": " كله", "probability": 0.91943359375}, {"start": 922.09, "end": 922.23, "word": " على", "probability": 0.71484375}, {"start": 922.23, "end": 922.49, "word": " بعض", "probability": 0.98974609375}, {"start": 922.49, "end": 923.01, "word": " هذا", "probability": 0.1180419921875}, {"start": 923.01, "end": 923.23, "word": " limit", "probability": 0.8759765625}, {"start": 923.23, "end": 923.77, "word": " exist", "probability": 0.9208984375}, {"start": 923.77, "end": 924.31, "word": " و", "probability": 0.568359375}, {"start": 924.31, "end": 924.59, "word": " هذا", "probability": 0.7060546875}, {"start": 924.59, "end": 925.05, "word": " هيتلع", "probability": 0.7174072265625}, {"start": 925.05, "end": 925.63, "word": " exist", "probability": 0.95556640625}, {"start": 925.63, "end": 925.97, "word": " إذا", "probability": 0.870849609375}, {"start": 925.97, "end": 926.17, "word": " اللي", "probability": 0.840087890625}, {"start": 926.17, "end": 926.69, "word": " هيتلع", "probability": 0.7989501953125}, {"start": 926.69, "end": 926.99, "word": " عنده", "probability": 0.801513671875}, {"start": 926.99, "end": 927.17, "word": " limit", "probability": 0.9521484375}, {"start": 927.17, "end": 927.47, "word": " أثر", "probability": 0.56005859375}, {"start": 927.47, "end": 927.63, "word": " ان", "probability": 0.36572265625}, {"start": 927.63, "end": 928.05, "word": " إيش", "probability": 0.63037109375}, {"start": 928.05, "end": 928.97, "word": " exist", "probability": 0.771484375}, {"start": 928.97, "end": 929.37, "word": " إذا", "probability": 0.77392578125}, {"start": 929.37, "end": 930.09, "word": " similarly", "probability": 0.763671875}, {"start": 930.09, "end": 930.87, "word": " if", "probability": 0.92626953125}, {"start": 930.87, "end": 931.11, "word": " limit", "probability": 0.970703125}, {"start": 931.11, "end": 931.35, "word": " لل", "probability": 0.93115234375}, {"start": 931.35, "end": 931.93, "word": " integration", "probability": 0.90771484375}, {"start": 931.93, "end": 932.17, "word": " أو", "probability": 0.8212890625}, {"start": 932.17, "end": 932.65, "word": " الimproper", "probability": 0.6922607421875}, {"start": 932.65, "end": 933.61, "word": " integral", "probability": 0.8994140625}, {"start": 933.61, "end": 934.21, "word": " exist", "probability": 0.79443359375}, {"start": 934.21, "end": 934.93, "word": " إذا", "probability": 0.94775390625}, {"start": 934.93, "end": 935.37, "word": " هيتلع", "probability": 0.8275146484375}, {"start": 935.37, "end": 935.65, "word": " limit", "probability": 0.65185546875}, {"start": 935.65, "end": 936.05, "word": " للأثر", "probability": 0.6814778645833334}, {"start": 936.05, "end": 936.19, "word": " ان", "probability": 0.60595703125}, {"start": 936.19, "end": 936.51, "word": " exist", "probability": 0.41015625}, {"start": 936.51, "end": 937.09, "word": " هو", "probability": 0.5250244140625}, {"start": 937.09, "end": 937.51, "word": " يعني", "probability": 0.5830078125}, {"start": 937.51, "end": 938.75, "word": " وضحتها", "probability": 0.960693359375}, {"start": 938.75, "end": 939.63, "word": " أمامكم", "probability": 0.925537109375}], "temperature": 1.0}, {"id": 43, "seek": 96710, "start": 940.04, "end": 967.1, "text": "therefore اللي أثبتناه انه ال summation لل F of N N من واحد لما لا نهاية اللي هو ال series exist يعني limit لل Sun exist if and only if الimproper integral exist يعني limit ال integration واحد لعند N exist هذا اللي هو اللي أثبتناه لحتى الآن الآن ضال علي أثبت الجزء الثاني من اللي هو النظرية اللي هو في حالة مين", "tokens": [15456, 845, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 3224, 16472, 3224, 2423, 28811, 24976, 479, 295, 426, 426, 9154, 36764, 24401, 5296, 15042, 20193, 8717, 11296, 10632, 13672, 1829, 31439, 2423, 2638, 2514, 37495, 22653, 4948, 24976, 6163, 2514, 498, 293, 787, 498, 2423, 332, 4318, 610, 11573, 2514, 37495, 22653, 4948, 2423, 10980, 36764, 24401, 5296, 3615, 41260, 426, 2514, 23758, 13672, 1829, 31439, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 3224, 5296, 33753, 7578, 6024, 48506, 6024, 48506, 48812, 6027, 25894, 5551, 12984, 3555, 2655, 25724, 11622, 38207, 6024, 104, 7649, 1829, 9154, 13672, 1829, 31439, 28239, 19913, 2288, 10632, 13672, 1829, 31439, 8978, 11331, 6027, 3660, 3714, 9957], "avg_logprob": -0.2635508765161565, "compression_ratio": 1.9282700421940928, "no_speech_prob": 0.0, "words": [{"start": 940.04, "end": 940.78, "word": "therefore", "probability": 0.451263427734375}, {"start": 940.78, "end": 941.04, "word": " اللي", "probability": 0.819091796875}, {"start": 941.04, "end": 942.0, "word": " أثبتناه", "probability": 0.94775390625}, {"start": 942.0, "end": 942.46, "word": " انه", "probability": 0.4947509765625}, {"start": 942.46, "end": 942.86, "word": " ال", "probability": 0.38134765625}, {"start": 942.86, "end": 943.3, "word": " summation", "probability": 0.56591796875}, {"start": 943.3, "end": 943.62, "word": " لل", "probability": 0.68212890625}, {"start": 943.62, "end": 943.84, "word": " F", "probability": 0.5166015625}, {"start": 943.84, "end": 944.02, "word": " of", "probability": 0.77392578125}, {"start": 944.02, "end": 944.18, "word": " N", "probability": 0.52880859375}, {"start": 944.18, "end": 944.34, "word": " N", "probability": 0.2451171875}, {"start": 944.34, "end": 944.52, "word": " من", "probability": 0.86865234375}, {"start": 944.52, "end": 944.72, "word": " واحد", "probability": 0.883056640625}, {"start": 944.72, "end": 944.98, "word": " لما", "probability": 0.660888671875}, {"start": 944.98, "end": 945.1, "word": " لا", "probability": 0.336181640625}, {"start": 945.1, "end": 945.44, "word": " نهاية", "probability": 0.8850911458333334}, {"start": 945.44, "end": 945.58, "word": " اللي", "probability": 0.853759765625}, {"start": 945.58, "end": 945.86, "word": " هو", "probability": 0.95654296875}, {"start": 945.86, "end": 946.36, "word": " ال", "probability": 0.8447265625}, {"start": 946.36, "end": 946.72, "word": " series", "probability": 0.8681640625}, {"start": 946.72, "end": 947.36, "word": " exist", "probability": 0.64501953125}, {"start": 947.36, "end": 947.74, "word": " يعني", "probability": 0.82958984375}, {"start": 947.74, "end": 947.96, "word": " limit", "probability": 0.87744140625}, {"start": 947.96, "end": 948.12, "word": " لل", "probability": 0.30419921875}, {"start": 948.12, "end": 948.42, "word": " Sun", "probability": 0.228515625}, {"start": 948.42, "end": 948.88, "word": " exist", "probability": 0.8115234375}, {"start": 948.88, "end": 949.4, "word": " if", "probability": 0.481689453125}, {"start": 949.4, "end": 949.58, "word": " and", "probability": 0.78076171875}, {"start": 949.58, "end": 949.84, "word": " only", "probability": 0.79833984375}, {"start": 949.84, "end": 950.08, "word": " if", "probability": 0.9296875}, {"start": 950.08, "end": 950.66, "word": " الimproper", "probability": 0.57330322265625}, {"start": 950.66, "end": 951.2, "word": " integral", "probability": 0.89501953125}, {"start": 951.2, "end": 951.64, "word": " exist", "probability": 0.697265625}, {"start": 951.64, "end": 951.96, "word": " يعني", "probability": 0.9296875}, {"start": 951.96, "end": 952.24, "word": " limit", "probability": 0.921875}, {"start": 952.24, "end": 952.36, "word": " ال", "probability": 0.80419921875}, {"start": 952.36, "end": 952.76, "word": " integration", "probability": 0.95654296875}, {"start": 952.76, "end": 953.16, "word": " واحد", "probability": 0.950927734375}, {"start": 953.16, "end": 953.44, "word": " لعند", "probability": 0.5633138020833334}, {"start": 953.44, "end": 953.68, "word": " N", "probability": 0.673828125}, {"start": 953.68, "end": 954.52, "word": " exist", "probability": 0.759765625}, {"start": 954.52, "end": 955.12, "word": " هذا", "probability": 0.8447265625}, {"start": 955.12, "end": 955.4, "word": " اللي", "probability": 0.979248046875}, {"start": 955.4, "end": 955.64, "word": " هو", "probability": 0.65234375}, {"start": 955.64, "end": 956.1, "word": " اللي", "probability": 0.975830078125}, {"start": 956.1, "end": 956.96, "word": " أثبتناه", "probability": 0.9922688802083334}, {"start": 956.96, "end": 957.54, "word": " لحتى", "probability": 0.800537109375}, {"start": 957.54, "end": 957.82, "word": " الآن", "probability": 0.857177734375}, {"start": 957.82, "end": 958.58, "word": " الآن", "probability": 0.6861572265625}, {"start": 958.58, "end": 958.88, "word": " ضال", "probability": 0.696044921875}, {"start": 958.88, "end": 959.12, "word": " علي", "probability": 0.779296875}, {"start": 959.12, "end": 959.64, "word": " أثبت", "probability": 0.942138671875}, {"start": 959.64, "end": 960.14, "word": " الجزء", "probability": 0.9742838541666666}, {"start": 960.14, "end": 960.82, "word": " الثاني", "probability": 0.961181640625}, {"start": 960.82, "end": 961.22, "word": " من", "probability": 0.9775390625}, {"start": 961.22, "end": 961.54, "word": " اللي", "probability": 0.933349609375}, {"start": 961.54, "end": 961.96, "word": " هو", "probability": 0.9912109375}, {"start": 961.96, "end": 964.4, "word": " النظرية", "probability": 0.928955078125}, {"start": 964.4, "end": 965.5, "word": " اللي", "probability": 0.93798828125}, {"start": 965.5, "end": 965.82, "word": " هو", "probability": 0.990234375}, {"start": 965.82, "end": 966.02, "word": " في", "probability": 0.92333984375}, {"start": 966.02, "end": 966.64, "word": " حالة", "probability": 0.9954427083333334}, {"start": 966.64, "end": 967.1, "word": " مين", "probability": 0.87841796875}], "temperature": 1.0}, {"id": 44, "seek": 99576, "start": 967.9, "end": 995.76, "text": "الـ Convergence في حالة الـ Convergence لـ Series أو لـ Improbable Integral بدنا نحقق الـ Estimate اللي هو .. اللي هو عندي S ناقص S N يكون بين اللي هو الـ Two Integration اللي حكينا عنه اشي اللي بقوله نشوف الان نيجي نركز الان finally", "tokens": [6027, 39184, 2656, 331, 15260, 8978, 11331, 6027, 3660, 2423, 39184, 2656, 331, 15260, 5296, 39184, 13934, 34051, 5296, 39184, 8270, 16614, 712, 23894, 304, 47525, 8315, 8717, 5016, 4587, 4587, 2423, 39184, 4410, 2905, 13672, 1829, 31439, 4386, 13672, 1829, 31439, 18871, 16254, 318, 8717, 995, 4587, 9381, 318, 426, 7251, 30544, 49374, 13672, 1829, 31439, 2423, 39184, 4453, 47713, 13672, 1829, 11331, 4117, 1829, 8315, 18871, 3224, 1975, 8592, 1829, 13672, 1829, 4724, 39648, 3224, 8717, 8592, 38688, 2423, 7649, 8717, 1829, 7435, 1829, 8717, 31747, 11622, 2423, 7649, 2721], "avg_logprob": -0.3019153123260826, "compression_ratio": 1.6208530805687205, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 967.9, "end": 968.36, "word": "الـ", "probability": 0.818603515625}, {"start": 968.36, "end": 969.72, "word": " Convergence", "probability": 0.6923828125}, {"start": 969.72, "end": 970.82, "word": " في", "probability": 0.654296875}, {"start": 970.82, "end": 971.36, "word": " حالة", "probability": 0.99365234375}, {"start": 971.36, "end": 971.56, "word": " الـ", "probability": 0.9609375}, {"start": 971.56, "end": 972.4, "word": " Convergence", "probability": 0.90576171875}, {"start": 972.4, "end": 973.32, "word": " لـ", "probability": 0.731201171875}, {"start": 973.32, "end": 973.84, "word": " Series", "probability": 0.64111328125}, {"start": 973.84, "end": 974.14, "word": " أو", "probability": 0.7333984375}, {"start": 974.14, "end": 974.38, "word": " لـ", "probability": 0.69775390625}, {"start": 974.38, "end": 974.86, "word": " Improbable", "probability": 0.6219075520833334}, {"start": 974.86, "end": 975.62, "word": " Integral", "probability": 0.855712890625}, {"start": 975.62, "end": 976.6, "word": " بدنا", "probability": 0.763671875}, {"start": 976.6, "end": 977.52, "word": " نحقق", "probability": 0.8568115234375}, {"start": 977.52, "end": 977.8, "word": " الـ", "probability": 0.685791015625}, {"start": 977.8, "end": 978.64, "word": " Estimate", "probability": 0.823974609375}, {"start": 978.64, "end": 979.3, "word": " اللي", "probability": 0.869140625}, {"start": 979.3, "end": 979.68, "word": " هو", "probability": 0.95703125}, {"start": 979.68, "end": 979.8, "word": " ..", "probability": 0.294921875}, {"start": 979.8, "end": 980.16, "word": " اللي", "probability": 0.94873046875}, {"start": 980.16, "end": 980.5, "word": " هو", "probability": 0.98779296875}, {"start": 980.5, "end": 981.24, "word": " عندي", "probability": 0.5931396484375}, {"start": 981.24, "end": 981.5, "word": " S", "probability": 0.748046875}, {"start": 981.5, "end": 981.98, "word": " ناقص", "probability": 0.7318115234375}, {"start": 981.98, "end": 982.3, "word": " S", "probability": 0.2783203125}, {"start": 982.3, "end": 982.74, "word": " N", "probability": 0.1806640625}, {"start": 982.74, "end": 983.86, "word": " يكون", "probability": 0.7047119140625}, {"start": 983.86, "end": 984.32, "word": " بين", "probability": 0.9736328125}, {"start": 984.32, "end": 984.64, "word": " اللي", "probability": 0.868408203125}, {"start": 984.64, "end": 984.98, "word": " هو", "probability": 0.98876953125}, {"start": 984.98, "end": 985.22, "word": " الـ", "probability": 0.9638671875}, {"start": 985.22, "end": 985.38, "word": " Two", "probability": 0.57861328125}, {"start": 985.38, "end": 986.06, "word": " Integration", "probability": 0.300048828125}, {"start": 986.06, "end": 986.66, "word": " اللي", "probability": 0.976806640625}, {"start": 986.66, "end": 987.06, "word": " حكينا", "probability": 0.9755859375}, {"start": 987.06, "end": 987.4, "word": " عنه", "probability": 0.53350830078125}, {"start": 987.4, "end": 988.22, "word": " اشي", "probability": 0.6383056640625}, {"start": 988.22, "end": 988.3, "word": " اللي", "probability": 0.9921875}, {"start": 988.3, "end": 988.76, "word": " بقوله", "probability": 0.9923502604166666}, {"start": 988.76, "end": 989.16, "word": " نشوف", "probability": 0.82275390625}, {"start": 989.16, "end": 992.6, "word": " الان", "probability": 0.5687255859375}, {"start": 992.6, "end": 994.48, "word": " نيجي", "probability": 0.8541259765625}, {"start": 994.48, "end": 995.02, "word": " نركز", "probability": 0.9723307291666666}, {"start": 995.02, "end": 995.28, "word": " الان", "probability": 0.890869140625}, {"start": 995.28, "end": 995.76, "word": " finally", "probability": 0.5068359375}], "temperature": 1.0}, {"id": 45, "seek": 102249, "start": 997.79, "end": 1022.49, "text": "assuming ال relation a for k بساوة n summing the relation a for k بالن زائد واحد لعند n we obtain ايش هي ال relation اللي حطيتها قبل و شوية اللي عبارة عن ال integration من واحد لعند n f of t dt أصغر أو يساوي هتبتدى استخدامها كمان مرة للوصول لل estimation اللي بديها", "tokens": [640, 24919, 2423, 9721, 257, 337, 350, 4724, 3794, 995, 2407, 3660, 297, 2408, 2810, 264, 9721, 257, 337, 350, 20666, 1863, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 297, 321, 12701, 1975, 1829, 8592, 39896, 2423, 9721, 13672, 1829, 11331, 9566, 36081, 11296, 12174, 36150, 4032, 13412, 2407, 10632, 13672, 1829, 6225, 3555, 9640, 3660, 18871, 2423, 10980, 9154, 36764, 24401, 5296, 3615, 41260, 297, 283, 295, 256, 36423, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 8032, 2655, 3555, 2655, 3215, 7578, 44713, 9778, 3215, 10943, 11296, 9122, 2304, 7649, 3714, 25720, 24976, 2407, 9381, 12610, 24976, 35701, 13672, 1829, 4724, 16254, 11296], "avg_logprob": -0.31973379188113743, "compression_ratio": 1.7155555555555555, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 997.79, "end": 998.51, "word": "assuming", "probability": 0.582763671875}, {"start": 998.51, "end": 999.23, "word": " ال", "probability": 0.412353515625}, {"start": 999.23, "end": 1000.13, "word": " relation", "probability": 0.63134765625}, {"start": 1000.13, "end": 1000.57, "word": " a", "probability": 0.387451171875}, {"start": 1000.57, "end": 1000.93, "word": " for", "probability": 0.3251953125}, {"start": 1000.93, "end": 1001.21, "word": " k", "probability": 0.80859375}, {"start": 1001.21, "end": 1001.65, "word": " بساوة", "probability": 0.515185546875}, {"start": 1001.65, "end": 1001.85, "word": " n", "probability": 0.72314453125}, {"start": 1001.85, "end": 1004.73, "word": " summing", "probability": 0.5045166015625}, {"start": 1004.73, "end": 1004.91, "word": " the", "probability": 0.568359375}, {"start": 1004.91, "end": 1005.29, "word": " relation", "probability": 0.98681640625}, {"start": 1005.29, "end": 1005.71, "word": " a", "probability": 0.90283203125}, {"start": 1005.71, "end": 1006.05, "word": " for", "probability": 0.9228515625}, {"start": 1006.05, "end": 1006.29, "word": " k", "probability": 0.9453125}, {"start": 1006.29, "end": 1006.51, "word": " بالن", "probability": 0.4515380859375}, {"start": 1006.51, "end": 1006.81, "word": " زائد", "probability": 0.6363932291666666}, {"start": 1006.81, "end": 1007.05, "word": " واحد", "probability": 0.691650390625}, {"start": 1007.05, "end": 1007.33, "word": " لعند", "probability": 0.8904622395833334}, {"start": 1007.33, "end": 1007.51, "word": " n", "probability": 0.426025390625}, {"start": 1007.51, "end": 1007.69, "word": " we", "probability": 0.309326171875}, {"start": 1007.69, "end": 1008.23, "word": " obtain", "probability": 0.91357421875}, {"start": 1008.23, "end": 1008.99, "word": " ايش", "probability": 0.6944580078125}, {"start": 1008.99, "end": 1009.13, "word": " هي", "probability": 0.91650390625}, {"start": 1009.13, "end": 1009.25, "word": " ال", "probability": 0.95947265625}, {"start": 1009.25, "end": 1009.63, "word": " relation", "probability": 0.9931640625}, {"start": 1009.63, "end": 1009.89, "word": " اللي", "probability": 0.896240234375}, {"start": 1009.89, "end": 1010.47, "word": " حطيتها", "probability": 0.915771484375}, {"start": 1010.47, "end": 1010.67, "word": " قبل", "probability": 0.946044921875}, {"start": 1010.67, "end": 1010.79, "word": " و", "probability": 0.462890625}, {"start": 1010.79, "end": 1011.23, "word": " شوية", "probability": 0.85009765625}, {"start": 1011.23, "end": 1011.89, "word": " اللي", "probability": 0.853759765625}, {"start": 1011.89, "end": 1012.35, "word": " عبارة", "probability": 0.9246826171875}, {"start": 1012.35, "end": 1012.47, "word": " عن", "probability": 0.990234375}, {"start": 1012.47, "end": 1012.57, "word": " ال", "probability": 0.81884765625}, {"start": 1012.57, "end": 1013.13, "word": " integration", "probability": 0.96240234375}, {"start": 1013.13, "end": 1013.53, "word": " من", "probability": 0.95751953125}, {"start": 1013.53, "end": 1013.83, "word": " واحد", "probability": 0.865478515625}, {"start": 1013.83, "end": 1014.19, "word": " لعند", "probability": 0.9620768229166666}, {"start": 1014.19, "end": 1014.49, "word": " n", "probability": 0.619140625}, {"start": 1014.49, "end": 1015.13, "word": " f", "probability": 0.249755859375}, {"start": 1015.13, "end": 1015.33, "word": " of", "probability": 0.375}, {"start": 1015.33, "end": 1015.73, "word": " t", "probability": 0.50244140625}, {"start": 1015.73, "end": 1016.47, "word": " dt", "probability": 0.775390625}, {"start": 1016.47, "end": 1017.63, "word": " أصغر", "probability": 0.8863525390625}, {"start": 1017.63, "end": 1017.77, "word": " أو", "probability": 0.75634765625}, {"start": 1017.77, "end": 1018.09, "word": " يساوي", "probability": 0.70477294921875}, {"start": 1018.09, "end": 1018.43, "word": " هتبتدى", "probability": 0.6392415364583334}, {"start": 1018.43, "end": 1018.81, "word": " استخدامها", "probability": 0.83447265625}, {"start": 1018.81, "end": 1019.05, "word": " كمان", "probability": 0.9002278645833334}, {"start": 1019.05, "end": 1019.45, "word": " مرة", "probability": 0.980712890625}, {"start": 1019.45, "end": 1020.71, "word": " للوصول", "probability": 0.9464111328125}, {"start": 1020.71, "end": 1020.91, "word": " لل", "probability": 0.450439453125}, {"start": 1020.91, "end": 1021.51, "word": " estimation", "probability": 0.76025390625}, {"start": 1021.51, "end": 1021.83, "word": " اللي", "probability": 0.920654296875}, {"start": 1021.83, "end": 1022.49, "word": " بديها", "probability": 0.688232421875}], "temperature": 1.0}, {"id": 46, "seek": 104698, "start": 1023.18, "end": 1046.98, "text": "أظهر يساوي أس أن ناقص واحد وأكبر أو يساوي مين يا جماعة اللي هو أس أن ناقص أف of واحد الان هذه بدنا اللي هو نعمل summation لها من أن زائد واحد لعند مين لعند أم يعني بدي أجي اللي هو أعمل ال summation اللي أمامي فبصير عندى", "tokens": [10721, 19913, 3224, 2288, 7251, 3794, 995, 45865, 5551, 3794, 14739, 8717, 995, 4587, 9381, 36764, 24401, 36725, 4117, 26890, 34051, 7251, 3794, 995, 45865, 3714, 9957, 35186, 10874, 15042, 27884, 13672, 1829, 31439, 5551, 3794, 14739, 8717, 995, 4587, 9381, 5551, 5172, 295, 36764, 24401, 2423, 7649, 29538, 47525, 8315, 13672, 1829, 31439, 8717, 25957, 1211, 28811, 5296, 11296, 9154, 14739, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 5551, 2304, 37495, 22653, 4724, 16254, 5551, 7435, 1829, 13672, 1829, 31439, 5551, 25957, 1211, 2423, 28811, 13672, 1829, 5551, 2304, 10943, 1829, 6156, 3555, 9381, 13546, 43242, 7578], "avg_logprob": -0.22202381520044237, "compression_ratio": 1.9025641025641025, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1023.18, "end": 1023.62, "word": "أظهر", "probability": 0.556304931640625}, {"start": 1023.62, "end": 1023.94, "word": " يساوي", "probability": 0.8529052734375}, {"start": 1023.94, "end": 1024.3, "word": " أس", "probability": 0.5516357421875}, {"start": 1024.3, "end": 1024.48, "word": " أن", "probability": 0.264892578125}, {"start": 1024.48, "end": 1024.94, "word": " ناقص", "probability": 0.9073486328125}, {"start": 1024.94, "end": 1025.36, "word": " واحد", "probability": 0.976318359375}, {"start": 1025.36, "end": 1025.86, "word": " وأكبر", "probability": 0.8318684895833334}, {"start": 1025.86, "end": 1026.04, "word": " أو", "probability": 0.9111328125}, {"start": 1026.04, "end": 1026.66, "word": " يساوي", "probability": 0.9840087890625}, {"start": 1026.66, "end": 1027.14, "word": " مين", "probability": 0.6273193359375}, {"start": 1027.14, "end": 1027.24, "word": " يا", "probability": 0.96044921875}, {"start": 1027.24, "end": 1028.24, "word": " جماعة", "probability": 0.99462890625}, {"start": 1028.24, "end": 1028.58, "word": " اللي", "probability": 0.823486328125}, {"start": 1028.58, "end": 1028.74, "word": " هو", "probability": 0.9404296875}, {"start": 1028.74, "end": 1029.1, "word": " أس", "probability": 0.98193359375}, {"start": 1029.1, "end": 1029.42, "word": " أن", "probability": 0.91259765625}, {"start": 1029.42, "end": 1030.14, "word": " ناقص", "probability": 0.9891357421875}, {"start": 1030.14, "end": 1030.66, "word": " أف", "probability": 0.7900390625}, {"start": 1030.66, "end": 1031.3, "word": " of", "probability": 0.19091796875}, {"start": 1031.3, "end": 1031.66, "word": " واحد", "probability": 0.98046875}, {"start": 1031.66, "end": 1032.58, "word": " الان", "probability": 0.5635986328125}, {"start": 1032.58, "end": 1032.9, "word": " هذه", "probability": 0.45703125}, {"start": 1032.9, "end": 1033.4, "word": " بدنا", "probability": 0.888916015625}, {"start": 1033.4, "end": 1033.64, "word": " اللي", "probability": 0.864990234375}, {"start": 1033.64, "end": 1033.92, "word": " هو", "probability": 0.955078125}, {"start": 1033.92, "end": 1034.46, "word": " نعمل", "probability": 0.9720052083333334}, {"start": 1034.46, "end": 1034.94, "word": " summation", "probability": 0.75390625}, {"start": 1034.94, "end": 1035.7, "word": " لها", "probability": 0.6539306640625}, {"start": 1035.7, "end": 1036.22, "word": " من", "probability": 0.97412109375}, {"start": 1036.22, "end": 1036.52, "word": " أن", "probability": 0.6220703125}, {"start": 1036.52, "end": 1036.98, "word": " زائد", "probability": 0.9080403645833334}, {"start": 1036.98, "end": 1037.4, "word": " واحد", "probability": 0.988525390625}, {"start": 1037.4, "end": 1037.78, "word": " لعند", "probability": 0.8824869791666666}, {"start": 1037.78, "end": 1038.28, "word": " مين", "probability": 0.986572265625}, {"start": 1038.28, "end": 1039.16, "word": " لعند", "probability": 0.93994140625}, {"start": 1039.16, "end": 1039.56, "word": " أم", "probability": 0.6619873046875}, {"start": 1039.56, "end": 1040.34, "word": " يعني", "probability": 0.95166015625}, {"start": 1040.34, "end": 1040.78, "word": " بدي", "probability": 0.71044921875}, {"start": 1040.78, "end": 1041.32, "word": " أجي", "probability": 0.87353515625}, {"start": 1041.32, "end": 1041.64, "word": " اللي", "probability": 0.978759765625}, {"start": 1041.64, "end": 1042.0, "word": " هو", "probability": 0.97509765625}, {"start": 1042.0, "end": 1043.88, "word": " أعمل", "probability": 0.9658203125}, {"start": 1043.88, "end": 1043.98, "word": " ال", "probability": 0.89453125}, {"start": 1043.98, "end": 1044.44, "word": " summation", "probability": 0.89453125}, {"start": 1044.44, "end": 1045.0, "word": " اللي", "probability": 0.861328125}, {"start": 1045.0, "end": 1045.56, "word": " أمامي", "probability": 0.9639892578125}, {"start": 1045.56, "end": 1046.46, "word": " فبصير", "probability": 0.90673828125}, {"start": 1046.46, "end": 1046.98, "word": " عندى", "probability": 0.62158203125}], "temperature": 1.0}, {"id": 47, "seek": 106395, "start": 1048.09, "end": 1063.95, "text": "الـ Summation لمن ؟ لـ N زائد واحد لعند مين لعند N خلّينا نجمحها خد الـ Summation", "tokens": [6027, 39184, 318, 40879, 399, 5296, 27842, 45520, 5296, 39184, 426, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 426, 16490, 1211, 11703, 9957, 995, 8717, 7435, 2304, 5016, 11296, 16490, 3215, 2423, 39184, 8626, 76, 399], "avg_logprob": -0.49309594132179435, "compression_ratio": 1.2727272727272727, "no_speech_prob": 3.159046173095703e-06, "words": [{"start": 1048.09, "end": 1048.47, "word": "الـ", "probability": 0.469482421875}, {"start": 1048.47, "end": 1049.09, "word": " Summation", "probability": 0.6015218098958334}, {"start": 1049.09, "end": 1051.55, "word": " لمن", "probability": 0.4769287109375}, {"start": 1051.55, "end": 1051.95, "word": " ؟", "probability": 0.45703125}, {"start": 1051.95, "end": 1054.77, "word": " لـ", "probability": 0.494384765625}, {"start": 1054.77, "end": 1054.77, "word": " N", "probability": 0.09576416015625}, {"start": 1054.77, "end": 1058.45, "word": " زائد", "probability": 0.6460164388020834}, {"start": 1058.45, "end": 1058.99, "word": " واحد", "probability": 0.92919921875}, {"start": 1058.99, "end": 1059.45, "word": " لعند", "probability": 0.7615559895833334}, {"start": 1059.45, "end": 1059.91, "word": " مين", "probability": 0.647705078125}, {"start": 1059.91, "end": 1060.79, "word": " لعند", "probability": 0.794921875}, {"start": 1060.79, "end": 1060.99, "word": " N", "probability": 0.2408447265625}, {"start": 1060.99, "end": 1061.61, "word": " خلّينا", "probability": 0.664453125}, {"start": 1061.61, "end": 1062.29, "word": " نجمحها", "probability": 0.96884765625}, {"start": 1062.29, "end": 1063.25, "word": " خد", "probability": 0.67138671875}, {"start": 1063.25, "end": 1063.41, "word": " الـ", "probability": 0.6143798828125}, {"start": 1063.41, "end": 1063.95, "word": " Summation", "probability": 0.77734375}], "temperature": 1.0}, {"id": 48, "seek": 109483, "start": 1065.49, "end": 1094.83, "text": "الـ summation عندي هي عندي بيصير ال summation ل ال integration اللي أمامي خلّيني أرجعلكم لها بس عشان تكون الأمور ت .. ت .. من وين .. قبل .. لأ آسف مش هذه نيجي لها اللي هي تسعة اللي هالة لإن هذه بعد ما انتجمعت الآن بدي أجمعها من عند اللي هو and زائد واحد لعند اللي هو", "tokens": [6027, 39184, 28811, 18871, 16254, 39896, 18871, 16254, 4724, 1829, 9381, 13546, 2423, 28811, 5296, 2423, 10980, 13672, 1829, 5551, 2304, 10943, 1829, 16490, 1211, 11703, 9957, 1829, 5551, 47341, 3615, 23275, 2304, 5296, 11296, 4724, 3794, 6225, 8592, 7649, 6055, 30544, 16247, 2304, 13063, 6055, 4386, 6055, 4386, 9154, 4032, 9957, 4386, 12174, 36150, 4386, 5296, 10721, 19753, 3794, 5172, 37893, 29538, 8717, 1829, 7435, 1829, 5296, 11296, 13672, 1829, 39896, 6055, 3794, 27884, 13672, 1829, 8032, 6027, 3660, 5296, 28814, 1863, 29538, 39182, 19446, 16472, 2655, 7435, 2304, 34268, 6024, 48506, 4724, 16254, 5551, 7435, 2304, 3615, 11296, 9154, 43242, 13672, 1829, 31439, 293, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 13672, 1829, 31439], "avg_logprob": -0.26867055791919514, "compression_ratio": 1.8049792531120332, "no_speech_prob": 1.2755393981933594e-05, "words": [{"start": 1065.49, "end": 1065.79, "word": "الـ", "probability": 0.47802734375}, {"start": 1065.79, "end": 1066.11, "word": " summation", "probability": 0.40185546875}, {"start": 1066.11, "end": 1066.71, "word": " عندي", "probability": 0.6461181640625}, {"start": 1066.71, "end": 1067.69, "word": " هي", "probability": 0.3828125}, {"start": 1067.69, "end": 1068.05, "word": " عندي", "probability": 0.884765625}, {"start": 1068.05, "end": 1068.35, "word": " بيصير", "probability": 0.89892578125}, {"start": 1068.35, "end": 1068.49, "word": " ال", "probability": 0.892578125}, {"start": 1068.49, "end": 1068.95, "word": " summation", "probability": 0.595703125}, {"start": 1068.95, "end": 1070.03, "word": " ل", "probability": 0.473876953125}, {"start": 1070.03, "end": 1070.83, "word": " ال", "probability": 0.5498046875}, {"start": 1070.83, "end": 1071.95, "word": " integration", "probability": 0.90869140625}, {"start": 1071.95, "end": 1074.99, "word": " اللي", "probability": 0.735107421875}, {"start": 1074.99, "end": 1075.53, "word": " أمامي", "probability": 0.9476318359375}, {"start": 1075.53, "end": 1075.87, "word": " خلّيني", "probability": 0.7845703125}, {"start": 1075.87, "end": 1076.49, "word": " أرجعلكم", "probability": 0.756640625}, {"start": 1076.49, "end": 1076.75, "word": " لها", "probability": 0.722412109375}, {"start": 1076.75, "end": 1077.01, "word": " بس", "probability": 0.820068359375}, {"start": 1077.01, "end": 1077.31, "word": " عشان", "probability": 0.9757486979166666}, {"start": 1077.31, "end": 1077.67, "word": " تكون", "probability": 0.942138671875}, {"start": 1077.67, "end": 1078.85, "word": " الأمور", "probability": 0.9431966145833334}, {"start": 1078.85, "end": 1079.09, "word": " ت", "probability": 0.363037109375}, {"start": 1079.09, "end": 1079.39, "word": " ..", "probability": 0.44482421875}, {"start": 1079.39, "end": 1079.39, "word": " ت", "probability": 0.630859375}, {"start": 1079.39, "end": 1079.49, "word": " ..", "probability": 0.84619140625}, {"start": 1079.49, "end": 1079.65, "word": " من", "probability": 0.88037109375}, {"start": 1079.65, "end": 1079.91, "word": " وين", "probability": 0.856201171875}, {"start": 1079.91, "end": 1081.07, "word": " ..", "probability": 0.480712890625}, {"start": 1081.07, "end": 1081.63, "word": " قبل", "probability": 0.703125}, {"start": 1081.63, "end": 1081.73, "word": " ..", "probability": 0.40966796875}, {"start": 1081.73, "end": 1081.93, "word": " لأ", "probability": 0.912109375}, {"start": 1081.93, "end": 1082.25, "word": " آسف", "probability": 0.8590494791666666}, {"start": 1082.25, "end": 1082.43, "word": " مش", "probability": 0.962890625}, {"start": 1082.43, "end": 1082.73, "word": " هذه", "probability": 0.8115234375}, {"start": 1082.73, "end": 1083.07, "word": " نيجي", "probability": 0.802978515625}, {"start": 1083.07, "end": 1083.33, "word": " لها", "probability": 0.961181640625}, {"start": 1083.33, "end": 1083.53, "word": " اللي", "probability": 0.97705078125}, {"start": 1083.53, "end": 1083.81, "word": " هي", "probability": 0.89599609375}, {"start": 1083.81, "end": 1084.71, "word": " تسعة", "probability": 0.9248046875}, {"start": 1084.71, "end": 1085.05, "word": " اللي", "probability": 0.9755859375}, {"start": 1085.05, "end": 1085.53, "word": " هالة", "probability": 0.5301106770833334}, {"start": 1085.53, "end": 1085.85, "word": " لإن", "probability": 0.8041178385416666}, {"start": 1085.85, "end": 1086.07, "word": " هذه", "probability": 0.464599609375}, {"start": 1086.07, "end": 1086.25, "word": " بعد", "probability": 0.9541015625}, {"start": 1086.25, "end": 1086.41, "word": " ما", "probability": 0.7890625}, {"start": 1086.41, "end": 1086.87, "word": " انتجمعت", "probability": 0.84443359375}, {"start": 1086.87, "end": 1087.15, "word": " الآن", "probability": 0.55975341796875}, {"start": 1087.15, "end": 1087.37, "word": " بدي", "probability": 0.540771484375}, {"start": 1087.37, "end": 1088.01, "word": " أجمعها", "probability": 0.89853515625}, {"start": 1088.01, "end": 1088.55, "word": " من", "probability": 0.99365234375}, {"start": 1088.55, "end": 1089.39, "word": " عند", "probability": 0.58935546875}, {"start": 1089.39, "end": 1090.15, "word": " اللي", "probability": 0.98974609375}, {"start": 1090.15, "end": 1090.41, "word": " هو", "probability": 0.96826171875}, {"start": 1090.41, "end": 1090.87, "word": " and", "probability": 0.38037109375}, {"start": 1090.87, "end": 1092.19, "word": " زائد", "probability": 0.89697265625}, {"start": 1092.19, "end": 1092.77, "word": " واحد", "probability": 0.964111328125}, {"start": 1092.77, "end": 1093.99, "word": " لعند", "probability": 0.9189453125}, {"start": 1093.99, "end": 1094.47, "word": " اللي", "probability": 0.9931640625}, {"start": 1094.47, "end": 1094.83, "word": " هو", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 49, "seek": 111427, "start": 1097.11, "end": 1114.27, "text": "حيث M أكبر من N خلّيني أجمحها هذه لأن هذه مجموعة خالصة خلّيني أجمح هذه لأن خد اجمع لي هذه عندي خد summation حسابات summation K من عند N زائد واحد لعند M", "tokens": [5016, 1829, 12984, 376, 5551, 4117, 26890, 9154, 426, 16490, 1211, 11703, 9957, 1829, 5551, 7435, 2304, 5016, 11296, 29538, 5296, 33456, 29538, 3714, 7435, 2304, 45367, 3660, 16490, 6027, 9381, 3660, 16490, 1211, 11703, 9957, 1829, 5551, 7435, 2304, 5016, 29538, 5296, 33456, 16490, 3215, 1975, 7435, 2304, 3615, 32239, 29538, 18871, 16254, 16490, 3215, 28811, 11331, 3794, 16758, 9307, 28811, 591, 9154, 43242, 426, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 376], "avg_logprob": -0.31147205123775884, "compression_ratio": 1.5961538461538463, "no_speech_prob": 2.9206275939941406e-05, "words": [{"start": 1097.11, "end": 1097.87, "word": "حيث", "probability": 0.7164713541666666}, {"start": 1097.87, "end": 1098.21, "word": " M", "probability": 0.383544921875}, {"start": 1098.21, "end": 1099.09, "word": " أكبر", "probability": 0.9381510416666666}, {"start": 1099.09, "end": 1100.13, "word": " من", "probability": 0.896484375}, {"start": 1100.13, "end": 1101.07, "word": " N", "probability": 0.156982421875}, {"start": 1101.07, "end": 1101.77, "word": " خلّيني", "probability": 0.79296875}, {"start": 1101.77, "end": 1102.13, "word": " أجمحها", "probability": 0.7728515625}, {"start": 1102.13, "end": 1102.39, "word": " هذه", "probability": 0.7578125}, {"start": 1102.39, "end": 1103.25, "word": " لأن", "probability": 0.635009765625}, {"start": 1103.25, "end": 1103.45, "word": " هذه", "probability": 0.513671875}, {"start": 1103.45, "end": 1103.93, "word": " مجموعة", "probability": 0.758740234375}, {"start": 1103.93, "end": 1104.71, "word": " خالصة", "probability": 0.9439697265625}, {"start": 1104.71, "end": 1105.09, "word": " خلّيني", "probability": 0.831396484375}, {"start": 1105.09, "end": 1105.37, "word": " أجمح", "probability": 0.9644775390625}, {"start": 1105.37, "end": 1105.69, "word": " هذه", "probability": 0.60986328125}, {"start": 1105.69, "end": 1106.03, "word": " لأن", "probability": 0.71826171875}, {"start": 1106.03, "end": 1106.27, "word": " خد", "probability": 0.5509033203125}, {"start": 1106.27, "end": 1106.57, "word": " اجمع", "probability": 0.8182373046875}, {"start": 1106.57, "end": 1106.69, "word": " لي", "probability": 0.482666015625}, {"start": 1106.69, "end": 1107.11, "word": " هذه", "probability": 0.95068359375}, {"start": 1107.11, "end": 1108.93, "word": " عندي", "probability": 0.642822265625}, {"start": 1108.93, "end": 1109.23, "word": " خد", "probability": 0.83642578125}, {"start": 1109.23, "end": 1109.79, "word": " summation", "probability": 0.4140625}, {"start": 1109.79, "end": 1110.61, "word": " حسابات", "probability": 0.76348876953125}, {"start": 1110.61, "end": 1111.17, "word": " summation", "probability": 0.6259765625}, {"start": 1111.17, "end": 1112.09, "word": " K", "probability": 0.61376953125}, {"start": 1112.09, "end": 1112.23, "word": " من", "probability": 0.9755859375}, {"start": 1112.23, "end": 1112.59, "word": " عند", "probability": 0.921875}, {"start": 1112.59, "end": 1112.81, "word": " N", "probability": 0.6806640625}, {"start": 1112.81, "end": 1113.17, "word": " زائد", "probability": 0.8714192708333334}, {"start": 1113.17, "end": 1113.61, "word": " واحد", "probability": 0.775146484375}, {"start": 1113.61, "end": 1113.99, "word": " لعند", "probability": 0.9127604166666666}, {"start": 1113.99, "end": 1114.27, "word": " M", "probability": 0.990234375}], "temperature": 1.0}, {"id": 50, "seek": 112914, "start": 1114.98, "end": 1129.14, "text": "حيث اللي هو الـ N مفترضها أكبر من N اللي هي أصغر أو سوى summation K من N زائد واحد لعند M حسابات summation K من عند M زائد واحد لعند مين لعند M", "tokens": [5016, 1829, 12984, 13672, 1829, 31439, 2423, 39184, 426, 3714, 5172, 2655, 43042, 11296, 5551, 4117, 26890, 9154, 426, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 34051, 8608, 2407, 7578, 28811, 591, 9154, 426, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 376, 11331, 3794, 16758, 9307, 28811, 591, 9154, 43242, 376, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 376], "avg_logprob": -0.22679570183825137, "compression_ratio": 1.7067669172932332, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1114.98, "end": 1115.58, "word": "حيث", "probability": 0.86279296875}, {"start": 1115.58, "end": 1115.84, "word": " اللي", "probability": 0.671142578125}, {"start": 1115.84, "end": 1116.08, "word": " هو", "probability": 0.92236328125}, {"start": 1116.08, "end": 1116.32, "word": " الـ", "probability": 0.4871826171875}, {"start": 1116.32, "end": 1116.44, "word": " N", "probability": 0.2386474609375}, {"start": 1116.44, "end": 1116.98, "word": " مفترضها", "probability": 0.9578125}, {"start": 1116.98, "end": 1117.3, "word": " أكبر", "probability": 0.92822265625}, {"start": 1117.3, "end": 1117.44, "word": " من", "probability": 0.98486328125}, {"start": 1117.44, "end": 1118.32, "word": " N", "probability": 0.8828125}, {"start": 1118.32, "end": 1119.2, "word": " اللي", "probability": 0.6221923828125}, {"start": 1119.2, "end": 1119.3, "word": " هي", "probability": 0.88037109375}, {"start": 1119.3, "end": 1119.6, "word": " أصغر", "probability": 0.9737548828125}, {"start": 1119.6, "end": 1119.7, "word": " أو", "probability": 0.4619140625}, {"start": 1119.7, "end": 1119.94, "word": " سوى", "probability": 0.378662109375}, {"start": 1119.94, "end": 1120.44, "word": " summation", "probability": 0.58203125}, {"start": 1120.44, "end": 1121.16, "word": " K", "probability": 0.56494140625}, {"start": 1121.16, "end": 1121.56, "word": " من", "probability": 0.95751953125}, {"start": 1121.56, "end": 1121.8, "word": " N", "probability": 0.8017578125}, {"start": 1121.8, "end": 1122.14, "word": " زائد", "probability": 0.7571614583333334}, {"start": 1122.14, "end": 1122.54, "word": " واحد", "probability": 0.731689453125}, {"start": 1122.54, "end": 1122.86, "word": " لعند", "probability": 0.8933919270833334}, {"start": 1122.86, "end": 1123.06, "word": " M", "probability": 0.93017578125}, {"start": 1123.06, "end": 1123.8, "word": " حسابات", "probability": 0.824462890625}, {"start": 1123.8, "end": 1124.6, "word": " summation", "probability": 0.76171875}, {"start": 1124.6, "end": 1125.12, "word": " K", "probability": 0.9384765625}, {"start": 1125.12, "end": 1125.26, "word": " من", "probability": 0.97802734375}, {"start": 1125.26, "end": 1125.58, "word": " عند", "probability": 0.955078125}, {"start": 1125.58, "end": 1126.0, "word": " M", "probability": 0.9892578125}, {"start": 1126.0, "end": 1127.0, "word": " زائد", "probability": 0.9747721354166666}, {"start": 1127.0, "end": 1127.48, "word": " واحد", "probability": 0.986083984375}, {"start": 1127.48, "end": 1128.0, "word": " لعند", "probability": 0.9534505208333334}, {"start": 1128.0, "end": 1128.46, "word": " مين", "probability": 0.8349609375}, {"start": 1128.46, "end": 1128.92, "word": " لعند", "probability": 0.8753255208333334}, {"start": 1128.92, "end": 1129.14, "word": " M", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 51, "seek": 115065, "start": 1130.93, "end": 1150.65, "text": "الان هذا في الواقع يا جماعة احنا قلنا ال S N هي summation لل F of K K من عند اللي هو واحد لعند مين لعند N وقلنا ال S N طبيعي هتكون summation لل F of K K من عند واحد لعند N", "tokens": [6027, 7649, 23758, 8978, 2423, 14407, 4587, 3615, 35186, 10874, 15042, 27884, 1975, 5016, 8315, 12174, 1211, 8315, 2423, 318, 426, 39896, 28811, 24976, 479, 295, 591, 591, 9154, 43242, 13672, 1829, 31439, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 426, 4032, 4587, 1211, 8315, 2423, 318, 426, 23032, 21292, 3615, 1829, 8032, 2655, 30544, 28811, 24976, 479, 295, 591, 591, 9154, 43242, 36764, 24401, 5296, 3615, 41260, 426], "avg_logprob": -0.20804794520547945, "compression_ratio": 1.7666666666666666, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 1130.93, "end": 1131.49, "word": "الان", "probability": 0.8037109375}, {"start": 1131.49, "end": 1131.83, "word": " هذا", "probability": 0.2313232421875}, {"start": 1131.83, "end": 1132.01, "word": " في", "probability": 0.9423828125}, {"start": 1132.01, "end": 1132.63, "word": " الواقع", "probability": 0.9903564453125}, {"start": 1132.63, "end": 1132.79, "word": " يا", "probability": 0.962890625}, {"start": 1132.79, "end": 1133.33, "word": " جماعة", "probability": 0.9861653645833334}, {"start": 1133.33, "end": 1134.11, "word": " احنا", "probability": 0.8494466145833334}, {"start": 1134.11, "end": 1134.43, "word": " قلنا", "probability": 0.8626302083333334}, {"start": 1134.43, "end": 1134.59, "word": " ال", "probability": 0.779296875}, {"start": 1134.59, "end": 1134.87, "word": " S", "probability": 0.1619873046875}, {"start": 1134.87, "end": 1135.17, "word": " N", "probability": 0.258056640625}, {"start": 1135.17, "end": 1135.71, "word": " هي", "probability": 0.88623046875}, {"start": 1135.71, "end": 1136.35, "word": " summation", "probability": 0.8505859375}, {"start": 1136.35, "end": 1136.63, "word": " لل", "probability": 0.60888671875}, {"start": 1136.63, "end": 1136.85, "word": " F", "probability": 0.8408203125}, {"start": 1136.85, "end": 1137.11, "word": " of", "probability": 0.66552734375}, {"start": 1137.11, "end": 1137.43, "word": " K", "probability": 0.9375}, {"start": 1137.43, "end": 1138.43, "word": " K", "probability": 0.1583251953125}, {"start": 1138.43, "end": 1138.63, "word": " من", "probability": 0.9814453125}, {"start": 1138.63, "end": 1139.05, "word": " عند", "probability": 0.974609375}, {"start": 1139.05, "end": 1139.43, "word": " اللي", "probability": 0.830078125}, {"start": 1139.43, "end": 1139.81, "word": " هو", "probability": 0.99267578125}, {"start": 1139.81, "end": 1140.89, "word": " واحد", "probability": 0.8271484375}, {"start": 1140.89, "end": 1142.07, "word": " لعند", "probability": 0.9197591145833334}, {"start": 1142.07, "end": 1142.55, "word": " مين", "probability": 0.972900390625}, {"start": 1142.55, "end": 1143.15, "word": " لعند", "probability": 0.9659830729166666}, {"start": 1143.15, "end": 1143.43, "word": " N", "probability": 0.7099609375}, {"start": 1143.43, "end": 1144.61, "word": " وقلنا", "probability": 0.896484375}, {"start": 1144.61, "end": 1144.77, "word": " ال", "probability": 0.875}, {"start": 1144.77, "end": 1145.05, "word": " S", "probability": 0.9814453125}, {"start": 1145.05, "end": 1145.27, "word": " N", "probability": 0.640625}, {"start": 1145.27, "end": 1145.75, "word": " طبيعي", "probability": 0.9498291015625}, {"start": 1145.75, "end": 1146.21, "word": " هتكون", "probability": 0.8577473958333334}, {"start": 1146.21, "end": 1146.91, "word": " summation", "probability": 0.348388671875}, {"start": 1146.91, "end": 1147.21, "word": " لل", "probability": 0.7607421875}, {"start": 1147.21, "end": 1147.43, "word": " F", "probability": 0.955078125}, {"start": 1147.43, "end": 1147.65, "word": " of", "probability": 0.92236328125}, {"start": 1147.65, "end": 1148.15, "word": " K", "probability": 0.98583984375}, {"start": 1148.15, "end": 1148.91, "word": " K", "probability": 0.509765625}, {"start": 1148.91, "end": 1149.09, "word": " من", "probability": 0.9931640625}, {"start": 1149.09, "end": 1149.45, "word": " عند", "probability": 0.9677734375}, {"start": 1149.45, "end": 1149.93, "word": " واحد", "probability": 0.99072265625}, {"start": 1149.93, "end": 1150.39, "word": " لعند", "probability": 0.9759114583333334}, {"start": 1150.39, "end": 1150.65, "word": " N", "probability": 0.79296875}], "temperature": 1.0}, {"id": 52, "seek": 118057, "start": 1151.31, "end": 1180.57, "text": "الان اطرح هذه من هذه هيظل ال summation من n زائد واحد لعند مين عند ان يعني هذه في الواقع هي عبارة عن S M ناقص إيش ناقص S N أصغر أو يساوي ال summation اللي أمامي ال summation هذا اللي هو من عند n زائد واحد من n زائد واحد لعند n ومن n لعند n زائد اتنين", "tokens": [6027, 7649, 1975, 9566, 2288, 5016, 29538, 9154, 29538, 39896, 19913, 1211, 2423, 28811, 9154, 297, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 43242, 16472, 37495, 22653, 29538, 8978, 2423, 14407, 4587, 3615, 39896, 6225, 3555, 9640, 3660, 18871, 318, 376, 8717, 995, 4587, 9381, 11933, 1829, 8592, 8717, 995, 4587, 9381, 318, 426, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 28811, 13672, 1829, 5551, 2304, 10943, 1829, 2423, 28811, 23758, 13672, 1829, 31439, 9154, 43242, 297, 30767, 16373, 3215, 36764, 24401, 9154, 297, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 297, 4032, 27842, 297, 5296, 3615, 41260, 297, 30767, 16373, 3215, 1975, 2655, 1863, 9957], "avg_logprob": -0.1781798287441856, "compression_ratio": 2.025, "no_speech_prob": 3.0994415283203125e-06, "words": [{"start": 1151.31, "end": 1151.77, "word": "الان", "probability": 0.672119140625}, {"start": 1151.77, "end": 1152.57, "word": " اطرح", "probability": 0.8404541015625}, {"start": 1152.57, "end": 1153.09, "word": " هذه", "probability": 0.6474609375}, {"start": 1153.09, "end": 1153.45, "word": " من", "probability": 0.974609375}, {"start": 1153.45, "end": 1153.95, "word": " هذه", "probability": 0.95654296875}, {"start": 1153.95, "end": 1154.69, "word": " هيظل", "probability": 0.7802734375}, {"start": 1154.69, "end": 1154.79, "word": " ال", "probability": 0.60498046875}, {"start": 1154.79, "end": 1155.19, "word": " summation", "probability": 0.56689453125}, {"start": 1155.19, "end": 1155.39, "word": " من", "probability": 0.94384765625}, {"start": 1155.39, "end": 1155.55, "word": " n", "probability": 0.265625}, {"start": 1155.55, "end": 1155.87, "word": " زائد", "probability": 0.8108723958333334}, {"start": 1155.87, "end": 1156.13, "word": " واحد", "probability": 0.879150390625}, {"start": 1156.13, "end": 1156.45, "word": " لعند", "probability": 0.6902669270833334}, {"start": 1156.45, "end": 1156.71, "word": " مين", "probability": 0.87890625}, {"start": 1156.71, "end": 1157.03, "word": " عند", "probability": 0.66748046875}, {"start": 1157.03, "end": 1157.25, "word": " ان", "probability": 0.293701171875}, {"start": 1157.25, "end": 1157.87, "word": " يعني", "probability": 0.8603515625}, {"start": 1157.87, "end": 1158.09, "word": " هذه", "probability": 0.36865234375}, {"start": 1158.09, "end": 1158.23, "word": " في", "probability": 0.82373046875}, {"start": 1158.23, "end": 1158.57, "word": " الواقع", "probability": 0.98193359375}, {"start": 1158.57, "end": 1158.75, "word": " هي", "probability": 0.82470703125}, {"start": 1158.75, "end": 1159.09, "word": " عبارة", "probability": 0.9862060546875}, {"start": 1159.09, "end": 1159.35, "word": " عن", "probability": 0.99462890625}, {"start": 1159.35, "end": 1159.65, "word": " S", "probability": 0.132568359375}, {"start": 1159.65, "end": 1160.09, "word": " M", "probability": 0.58984375}, {"start": 1160.09, "end": 1161.11, "word": " ناقص", "probability": 0.961181640625}, {"start": 1161.11, "end": 1161.69, "word": " إيش", "probability": 0.7114664713541666}, {"start": 1161.69, "end": 1162.35, "word": " ناقص", "probability": 0.8929443359375}, {"start": 1162.35, "end": 1162.75, "word": " S", "probability": 0.92578125}, {"start": 1162.75, "end": 1163.03, "word": " N", "probability": 0.7734375}, {"start": 1163.03, "end": 1164.05, "word": " أصغر", "probability": 0.9361572265625}, {"start": 1164.05, "end": 1164.21, "word": " أو", "probability": 0.79638671875}, {"start": 1164.21, "end": 1164.79, "word": " يساوي", "probability": 0.9798583984375}, {"start": 1164.79, "end": 1165.27, "word": " ال", "probability": 0.90478515625}, {"start": 1165.27, "end": 1165.71, "word": " summation", "probability": 0.92822265625}, {"start": 1165.71, "end": 1165.97, "word": " اللي", "probability": 0.9619140625}, {"start": 1165.97, "end": 1166.57, "word": " أمامي", "probability": 0.9407958984375}, {"start": 1166.57, "end": 1167.19, "word": " ال", "probability": 0.927734375}, {"start": 1167.19, "end": 1167.61, "word": " summation", "probability": 0.93603515625}, {"start": 1167.61, "end": 1168.11, "word": " هذا", "probability": 0.87451171875}, {"start": 1168.11, "end": 1168.35, "word": " اللي", "probability": 0.988037109375}, {"start": 1168.35, "end": 1168.51, "word": " هو", "probability": 0.97802734375}, {"start": 1168.51, "end": 1168.71, "word": " من", "probability": 0.98046875}, {"start": 1168.71, "end": 1169.13, "word": " عند", "probability": 0.95751953125}, {"start": 1169.13, "end": 1169.81, "word": " n", "probability": 0.673828125}, {"start": 1169.81, "end": 1170.35, "word": " زائد", "probability": 0.9685872395833334}, {"start": 1170.35, "end": 1170.99, "word": " واحد", "probability": 0.98583984375}, {"start": 1170.99, "end": 1171.93, "word": " من", "probability": 0.91796875}, {"start": 1171.93, "end": 1172.13, "word": " n", "probability": 0.6708984375}, {"start": 1172.13, "end": 1172.43, "word": " زائد", "probability": 0.9772135416666666}, {"start": 1172.43, "end": 1172.95, "word": " واحد", "probability": 0.98974609375}, {"start": 1172.95, "end": 1174.13, "word": " لعند", "probability": 0.9684244791666666}, {"start": 1174.13, "end": 1174.53, "word": " n", "probability": 0.52734375}, {"start": 1174.53, "end": 1175.63, "word": " ومن", "probability": 0.80419921875}, {"start": 1175.63, "end": 1176.13, "word": " n", "probability": 0.92138671875}, {"start": 1176.13, "end": 1177.57, "word": " لعند", "probability": 0.9737955729166666}, {"start": 1177.57, "end": 1178.61, "word": " n", "probability": 0.9052734375}, {"start": 1178.61, "end": 1180.07, "word": " زائد", "probability": 0.9825846354166666}, {"start": 1180.07, "end": 1180.57, "word": " اتنين", "probability": 0.934814453125}], "temperature": 1.0}, {"id": 53, "seek": 119446, "start": 1181.54, "end": 1194.46, "text": "و من N زائد 2 لعند N زائد 3 لما أصل من عند M ناقص واحد لعند M زي ما عملنا قبل و شوية هيطلع عبارة عن من N لمين لعند M", "tokens": [2407, 9154, 426, 30767, 16373, 3215, 568, 5296, 3615, 41260, 426, 30767, 16373, 3215, 805, 5296, 15042, 5551, 36520, 9154, 43242, 376, 8717, 995, 4587, 9381, 36764, 24401, 5296, 3615, 41260, 376, 30767, 1829, 19446, 6225, 42213, 8315, 12174, 36150, 4032, 13412, 2407, 10632, 8032, 1829, 9566, 1211, 3615, 6225, 3555, 9640, 3660, 18871, 9154, 426, 5296, 2304, 9957, 5296, 3615, 41260, 376], "avg_logprob": -0.2526855510659516, "compression_ratio": 1.5691056910569106, "no_speech_prob": 0.00011277198791503906, "words": [{"start": 1181.54, "end": 1181.78, "word": "و", "probability": 0.229736328125}, {"start": 1181.78, "end": 1181.94, "word": " من", "probability": 0.48974609375}, {"start": 1181.94, "end": 1182.3, "word": " N", "probability": 0.2724609375}, {"start": 1182.3, "end": 1183.0, "word": " زائد", "probability": 0.603271484375}, {"start": 1183.0, "end": 1183.6, "word": " 2", "probability": 0.72412109375}, {"start": 1183.6, "end": 1184.16, "word": " لعند", "probability": 0.7465006510416666}, {"start": 1184.16, "end": 1184.34, "word": " N", "probability": 0.7666015625}, {"start": 1184.34, "end": 1184.7, "word": " زائد", "probability": 0.9396158854166666}, {"start": 1184.7, "end": 1185.14, "word": " 3", "probability": 0.92578125}, {"start": 1185.14, "end": 1185.98, "word": " لما", "probability": 0.88330078125}, {"start": 1185.98, "end": 1186.34, "word": " أصل", "probability": 0.940185546875}, {"start": 1186.34, "end": 1186.5, "word": " من", "probability": 0.9619140625}, {"start": 1186.5, "end": 1186.74, "word": " عند", "probability": 0.9326171875}, {"start": 1186.74, "end": 1186.94, "word": " M", "probability": 0.833984375}, {"start": 1186.94, "end": 1187.32, "word": " ناقص", "probability": 0.77166748046875}, {"start": 1187.32, "end": 1187.7, "word": " واحد", "probability": 0.7042236328125}, {"start": 1187.7, "end": 1187.98, "word": " لعند", "probability": 0.953125}, {"start": 1187.98, "end": 1188.22, "word": " M", "probability": 0.955078125}, {"start": 1188.22, "end": 1188.52, "word": " زي", "probability": 0.738525390625}, {"start": 1188.52, "end": 1188.6, "word": " ما", "probability": 0.97998046875}, {"start": 1188.6, "end": 1188.9, "word": " عملنا", "probability": 0.9501953125}, {"start": 1188.9, "end": 1189.14, "word": " قبل", "probability": 0.92626953125}, {"start": 1189.14, "end": 1189.24, "word": " و", "probability": 0.61865234375}, {"start": 1189.24, "end": 1189.68, "word": " شوية", "probability": 0.8650716145833334}, {"start": 1189.68, "end": 1190.6, "word": " هيطلع", "probability": 0.793701171875}, {"start": 1190.6, "end": 1191.04, "word": " عبارة", "probability": 0.9940185546875}, {"start": 1191.04, "end": 1191.24, "word": " عن", "probability": 0.96240234375}, {"start": 1191.24, "end": 1191.44, "word": " من", "probability": 0.958984375}, {"start": 1191.44, "end": 1192.02, "word": " N", "probability": 0.95703125}, {"start": 1192.02, "end": 1193.38, "word": " لمين", "probability": 0.7186686197916666}, {"start": 1193.38, "end": 1194.16, "word": " لعند", "probability": 0.86669921875}, {"start": 1194.16, "end": 1194.46, "word": " M", "probability": 0.57568359375}], "temperature": 1.0}, {"id": 54, "seek": 122533, "start": 1197.07, "end": 1225.33, "text": "DT هذا أصغر أو ساوي اللي هو ال summation اللي هو الأخير بنفس الأسلوب ونشوف إيش اللي هيلزمنا عندي هذا زي ما عملت فوق بالظبط بس هذه بتاخدها في عيننا اعتبار ان هي بتبدأ من عند من عند K-1 يعني اللي هي هذه بتبدأ تصير N لعند اللي هو مين اللي هي M-1 يعني بمعنى آخر عبارة عن SM-1", "tokens": [35, 51, 23758, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 13672, 1829, 31439, 2423, 28811, 13672, 1829, 31439, 16247, 9778, 13546, 44945, 36178, 16247, 3794, 1211, 37746, 4032, 1863, 8592, 38688, 11933, 1829, 8592, 13672, 1829, 39896, 1211, 11622, 2304, 8315, 18871, 16254, 23758, 30767, 1829, 19446, 6225, 42213, 2655, 6156, 30543, 20666, 19913, 3555, 9566, 4724, 3794, 29538, 39894, 47283, 3215, 11296, 8978, 6225, 9957, 8315, 1975, 34268, 3555, 9640, 16472, 39896, 39894, 44510, 10721, 9154, 43242, 9154, 43242, 591, 12, 16, 37495, 22653, 13672, 1829, 39896, 29538, 39894, 44510, 10721, 6055, 9381, 13546, 426, 5296, 3615, 41260, 13672, 1829, 31439, 3714, 9957, 13672, 1829, 39896, 376, 12, 16, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 6225, 3555, 9640, 3660, 18871, 13115, 12, 16], "avg_logprob": -0.21002906976744187, "compression_ratio": 1.8934426229508197, "no_speech_prob": 1.6868114471435547e-05, "words": [{"start": 1197.0700000000002, "end": 1197.89, "word": "DT", "probability": 0.421875}, {"start": 1197.89, "end": 1198.59, "word": " هذا", "probability": 0.5771484375}, {"start": 1198.59, "end": 1198.99, "word": " أصغر", "probability": 0.942138671875}, {"start": 1198.99, "end": 1199.13, "word": " أو", "probability": 0.94482421875}, {"start": 1199.13, "end": 1199.61, "word": " ساوي", "probability": 0.8338216145833334}, {"start": 1199.61, "end": 1200.35, "word": " اللي", "probability": 0.660888671875}, {"start": 1200.35, "end": 1200.59, "word": " هو", "probability": 0.9853515625}, {"start": 1200.59, "end": 1200.79, "word": " ال", "probability": 0.8466796875}, {"start": 1200.79, "end": 1201.27, "word": " summation", "probability": 0.209228515625}, {"start": 1201.27, "end": 1202.07, "word": " اللي", "probability": 0.966552734375}, {"start": 1202.07, "end": 1202.29, "word": " هو", "probability": 0.97900390625}, {"start": 1202.29, "end": 1202.77, "word": " الأخير", "probability": 0.9295247395833334}, {"start": 1202.77, "end": 1203.21, "word": " بنفس", "probability": 0.967041015625}, {"start": 1203.21, "end": 1203.87, "word": " الأسلوب", "probability": 0.9525146484375}, {"start": 1203.87, "end": 1204.85, "word": " ونشوف", "probability": 0.9124755859375}, {"start": 1204.85, "end": 1205.33, "word": " إيش", "probability": 0.7630208333333334}, {"start": 1205.33, "end": 1205.73, "word": " اللي", "probability": 0.9765625}, {"start": 1205.73, "end": 1206.81, "word": " هيلزمنا", "probability": 0.8451171875}, {"start": 1206.81, "end": 1207.81, "word": " عندي", "probability": 0.6651611328125}, {"start": 1207.81, "end": 1208.21, "word": " هذا", "probability": 0.69482421875}, {"start": 1208.21, "end": 1208.93, "word": " زي", "probability": 0.98486328125}, {"start": 1208.93, "end": 1209.05, "word": " ما", "probability": 0.98046875}, {"start": 1209.05, "end": 1209.37, "word": " عملت", "probability": 0.96240234375}, {"start": 1209.37, "end": 1209.61, "word": " فوق", "probability": 0.974609375}, {"start": 1209.61, "end": 1210.05, "word": " بالظبط", "probability": 0.98828125}, {"start": 1210.05, "end": 1210.27, "word": " بس", "probability": 0.93701171875}, {"start": 1210.27, "end": 1210.39, "word": " هذه", "probability": 0.4404296875}, {"start": 1210.39, "end": 1210.91, "word": " بتاخدها", "probability": 0.732177734375}, {"start": 1210.91, "end": 1211.07, "word": " في", "probability": 0.2325439453125}, {"start": 1211.07, "end": 1211.29, "word": " عيننا", "probability": 0.7198893229166666}, {"start": 1211.29, "end": 1211.67, "word": " اعتبار", "probability": 0.81866455078125}, {"start": 1211.67, "end": 1211.79, "word": " ان", "probability": 0.50830078125}, {"start": 1211.79, "end": 1211.99, "word": " هي", "probability": 0.73583984375}, {"start": 1211.99, "end": 1212.73, "word": " بتبدأ", "probability": 0.90283203125}, {"start": 1212.73, "end": 1212.89, "word": " من", "probability": 0.951171875}, {"start": 1212.89, "end": 1213.17, "word": " عند", "probability": 0.994140625}, {"start": 1213.17, "end": 1213.39, "word": " من", "probability": 0.482421875}, {"start": 1213.39, "end": 1213.75, "word": " عند", "probability": 0.77099609375}, {"start": 1213.75, "end": 1214.03, "word": " K", "probability": 0.452392578125}, {"start": 1214.03, "end": 1214.75, "word": "-1", "probability": 0.5899658203125}, {"start": 1214.75, "end": 1215.55, "word": " يعني", "probability": 0.926513671875}, {"start": 1215.55, "end": 1215.87, "word": " اللي", "probability": 0.968505859375}, {"start": 1215.87, "end": 1216.09, "word": " هي", "probability": 0.7666015625}, {"start": 1216.09, "end": 1216.37, "word": " هذه", "probability": 0.72705078125}, {"start": 1216.37, "end": 1216.97, "word": " بتبدأ", "probability": 0.9503580729166666}, {"start": 1216.97, "end": 1217.43, "word": " تصير", "probability": 0.69091796875}, {"start": 1217.43, "end": 1217.87, "word": " N", "probability": 0.79443359375}, {"start": 1217.87, "end": 1219.25, "word": " لعند", "probability": 0.9451497395833334}, {"start": 1219.25, "end": 1219.51, "word": " اللي", "probability": 0.98486328125}, {"start": 1219.51, "end": 1219.75, "word": " هو", "probability": 0.98876953125}, {"start": 1219.75, "end": 1220.17, "word": " مين", "probability": 0.754150390625}, {"start": 1220.17, "end": 1220.57, "word": " اللي", "probability": 0.92431640625}, {"start": 1220.57, "end": 1220.75, "word": " هي", "probability": 0.5869140625}, {"start": 1220.75, "end": 1221.03, "word": " M", "probability": 0.52783203125}, {"start": 1221.03, "end": 1221.63, "word": "-1", "probability": 0.73583984375}, {"start": 1221.63, "end": 1222.07, "word": " يعني", "probability": 0.931396484375}, {"start": 1222.07, "end": 1222.51, "word": " بمعنى", "probability": 0.99248046875}, {"start": 1222.51, "end": 1222.93, "word": " آخر", "probability": 0.7724609375}, {"start": 1222.93, "end": 1223.69, "word": " عبارة", "probability": 0.997314453125}, {"start": 1223.69, "end": 1223.89, "word": " عن", "probability": 0.99462890625}, {"start": 1223.89, "end": 1224.37, "word": " SM", "probability": 0.52734375}, {"start": 1224.37, "end": 1225.33, "word": "-1", "probability": 0.8955078125}], "temperature": 1.0}, {"id": 55, "seek": 124053, "start": 1225.85, "end": 1240.53, "text": "أسأل نقص واحد حسب ما اللي هي حسبنا فوق أو زي ما حسبنا فوق فبنكون حصلنا على هذه الـ Inquality نشوف هذه الـ Inquality كيف بدنا نستخدمها للوصول للي بدنايا", "tokens": [10721, 3794, 10721, 1211, 8717, 4587, 9381, 36764, 24401, 11331, 35457, 19446, 13672, 1829, 39896, 11331, 35457, 8315, 6156, 30543, 34051, 30767, 1829, 19446, 11331, 35457, 8315, 6156, 30543, 6156, 3555, 1863, 30544, 11331, 36520, 8315, 15844, 29538, 2423, 39184, 682, 11286, 8717, 8592, 38688, 29538, 2423, 39184, 682, 11286, 9122, 33911, 47525, 8315, 8717, 14851, 9778, 40448, 11296, 24976, 2407, 9381, 12610, 5296, 20292, 47525, 8315, 25528], "avg_logprob": -0.2073143055473549, "compression_ratio": 1.624203821656051, "no_speech_prob": 2.8252601623535156e-05, "words": [{"start": 1225.85, "end": 1226.45, "word": "أسأل", "probability": 0.564361572265625}, {"start": 1226.45, "end": 1226.83, "word": " نقص", "probability": 0.7364095052083334}, {"start": 1226.83, "end": 1227.25, "word": " واحد", "probability": 0.983642578125}, {"start": 1227.25, "end": 1227.87, "word": " حسب", "probability": 0.856201171875}, {"start": 1227.87, "end": 1228.19, "word": " ما", "probability": 0.91796875}, {"start": 1228.19, "end": 1228.53, "word": " اللي", "probability": 0.49517822265625}, {"start": 1228.53, "end": 1228.89, "word": " هي", "probability": 0.7646484375}, {"start": 1228.89, "end": 1229.53, "word": " حسبنا", "probability": 0.984375}, {"start": 1229.53, "end": 1229.87, "word": " فوق", "probability": 0.942626953125}, {"start": 1229.87, "end": 1230.37, "word": " أو", "probability": 0.93505859375}, {"start": 1230.37, "end": 1230.63, "word": " زي", "probability": 0.97607421875}, {"start": 1230.63, "end": 1230.71, "word": " ما", "probability": 0.9609375}, {"start": 1230.71, "end": 1231.15, "word": " حسبنا", "probability": 0.9931640625}, {"start": 1231.15, "end": 1231.53, "word": " فوق", "probability": 0.98193359375}, {"start": 1231.53, "end": 1232.25, "word": " فبنكون", "probability": 0.9434814453125}, {"start": 1232.25, "end": 1232.97, "word": " حصلنا", "probability": 0.8924153645833334}, {"start": 1232.97, "end": 1233.23, "word": " على", "probability": 0.91064453125}, {"start": 1233.23, "end": 1233.79, "word": " هذه", "probability": 0.91943359375}, {"start": 1233.79, "end": 1234.53, "word": " الـ", "probability": 0.7254638671875}, {"start": 1234.53, "end": 1235.09, "word": " Inquality", "probability": 0.727783203125}, {"start": 1235.09, "end": 1236.01, "word": " نشوف", "probability": 0.779052734375}, {"start": 1236.01, "end": 1236.17, "word": " هذه", "probability": 0.82373046875}, {"start": 1236.17, "end": 1236.33, "word": " الـ", "probability": 0.9169921875}, {"start": 1236.33, "end": 1236.79, "word": " Inquality", "probability": 0.88037109375}, {"start": 1236.79, "end": 1237.17, "word": " كيف", "probability": 0.883056640625}, {"start": 1237.17, "end": 1237.45, "word": " بدنا", "probability": 0.882568359375}, {"start": 1237.45, "end": 1238.31, "word": " نستخدمها", "probability": 0.9916015625}, {"start": 1238.31, "end": 1239.65, "word": " للوصول", "probability": 0.9202880859375}, {"start": 1239.65, "end": 1239.91, "word": " للي", "probability": 0.720458984375}, {"start": 1239.91, "end": 1240.53, "word": " بدنايا", "probability": 0.7271728515625}], "temperature": 1.0}, {"id": 56, "seek": 125931, "start": 1241.15, "end": 1259.31, "text": "الأن M أكبر من N أكيد فعندي أسأن ناقص أسئن اللي هي صارت اللي هي أصغر أو يساوي ال integration من M لعند M اللي أوجدتها و أصغر أو يساوي الأسئن minus واحد ناقص أسئن ناقص واحد زي ما قلنا اللي هاد سمناها إيه ياش أستار", "tokens": [6027, 33456, 376, 5551, 4117, 26890, 9154, 426, 5551, 4117, 25708, 6156, 3615, 41260, 1829, 5551, 3794, 10721, 1863, 8717, 995, 4587, 9381, 5551, 3794, 19986, 1863, 13672, 1829, 39896, 20328, 9640, 2655, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 10980, 9154, 376, 5296, 3615, 41260, 376, 13672, 1829, 34051, 7435, 3215, 2655, 11296, 4032, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 16247, 3794, 19986, 1863, 3175, 36764, 24401, 8717, 995, 4587, 9381, 5551, 3794, 19986, 1863, 8717, 995, 4587, 9381, 36764, 24401, 30767, 1829, 19446, 12174, 1211, 8315, 13672, 1829, 8032, 18513, 8608, 2304, 8315, 11296, 11933, 1829, 3224, 35186, 8592, 5551, 14851, 9640], "avg_logprob": -0.24890351661464624, "compression_ratio": 1.8505154639175259, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1241.15, "end": 1241.59, "word": "الأن", "probability": 0.6190185546875}, {"start": 1241.59, "end": 1241.87, "word": " M", "probability": 0.477783203125}, {"start": 1241.87, "end": 1242.23, "word": " أكبر", "probability": 0.9373372395833334}, {"start": 1242.23, "end": 1242.39, "word": " من", "probability": 0.97998046875}, {"start": 1242.39, "end": 1242.51, "word": " N", "probability": 0.9169921875}, {"start": 1242.51, "end": 1242.95, "word": " أكيد", "probability": 0.8987630208333334}, {"start": 1242.95, "end": 1243.49, "word": " فعندي", "probability": 0.60064697265625}, {"start": 1243.49, "end": 1243.75, "word": " أسأن", "probability": 0.481689453125}, {"start": 1243.75, "end": 1244.09, "word": " ناقص", "probability": 0.8865966796875}, {"start": 1244.09, "end": 1244.57, "word": " أسئن", "probability": 0.80072021484375}, {"start": 1244.57, "end": 1245.21, "word": " اللي", "probability": 0.778076171875}, {"start": 1245.21, "end": 1245.55, "word": " هي", "probability": 0.7880859375}, {"start": 1245.55, "end": 1246.83, "word": " صارت", "probability": 0.8028971354166666}, {"start": 1246.83, "end": 1247.01, "word": " اللي", "probability": 0.79833984375}, {"start": 1247.01, "end": 1247.37, "word": " هي", "probability": 0.9482421875}, {"start": 1247.37, "end": 1248.23, "word": " أصغر", "probability": 0.981201171875}, {"start": 1248.23, "end": 1248.39, "word": " أو", "probability": 0.93115234375}, {"start": 1248.39, "end": 1248.77, "word": " يساوي", "probability": 0.9140625}, {"start": 1248.77, "end": 1248.87, "word": " ال", "probability": 0.95166015625}, {"start": 1248.87, "end": 1249.37, "word": " integration", "probability": 0.951171875}, {"start": 1249.37, "end": 1249.63, "word": " من", "probability": 0.9755859375}, {"start": 1249.63, "end": 1249.93, "word": " M", "probability": 0.80908203125}, {"start": 1249.93, "end": 1250.33, "word": " لعند", "probability": 0.88671875}, {"start": 1250.33, "end": 1250.55, "word": " M", "probability": 0.86865234375}, {"start": 1250.55, "end": 1250.67, "word": " اللي", "probability": 0.987060546875}, {"start": 1250.67, "end": 1251.29, "word": " أوجدتها", "probability": 0.811669921875}, {"start": 1251.29, "end": 1251.95, "word": " و", "probability": 0.67236328125}, {"start": 1251.95, "end": 1252.35, "word": " أصغر", "probability": 0.94970703125}, {"start": 1252.35, "end": 1252.49, "word": " أو", "probability": 0.95068359375}, {"start": 1252.49, "end": 1252.89, "word": " يساوي", "probability": 0.983154296875}, {"start": 1252.89, "end": 1253.37, "word": " الأسئن", "probability": 0.9154052734375}, {"start": 1253.37, "end": 1253.85, "word": " minus", "probability": 0.40380859375}, {"start": 1253.85, "end": 1254.31, "word": " واحد", "probability": 0.824951171875}, {"start": 1254.31, "end": 1254.71, "word": " ناقص", "probability": 0.988525390625}, {"start": 1254.71, "end": 1255.03, "word": " أسئن", "probability": 0.946533203125}, {"start": 1255.03, "end": 1255.33, "word": " ناقص", "probability": 0.9686279296875}, {"start": 1255.33, "end": 1255.61, "word": " واحد", "probability": 0.990478515625}, {"start": 1255.61, "end": 1255.85, "word": " زي", "probability": 0.964111328125}, {"start": 1255.85, "end": 1255.91, "word": " ما", "probability": 0.98095703125}, {"start": 1255.91, "end": 1256.29, "word": " قلنا", "probability": 0.9537760416666666}, {"start": 1256.29, "end": 1256.97, "word": " اللي", "probability": 0.709228515625}, {"start": 1256.97, "end": 1257.77, "word": " هاد", "probability": 0.350830078125}, {"start": 1257.77, "end": 1258.39, "word": " سمناها", "probability": 0.6353759765625}, {"start": 1258.39, "end": 1258.59, "word": " إيه", "probability": 0.740234375}, {"start": 1258.59, "end": 1258.77, "word": " ياش", "probability": 0.2713623046875}, {"start": 1258.77, "end": 1259.31, "word": " أستار", "probability": 0.6368815104166666}], "temperature": 1.0}, {"id": 57, "seek": 127214, "start": 1259.92, "end": 1272.14, "text": "الان من الـ star خلّينا نركز على المنطقة اللي هي الان بتاخد ال integration من N زائد واحد عند M زائد واحد F of T DT", "tokens": [6027, 7649, 9154, 2423, 39184, 3543, 16490, 1211, 11703, 9957, 995, 8717, 31747, 11622, 15844, 9673, 1863, 9566, 28671, 13672, 1829, 39896, 2423, 7649, 39894, 47283, 3215, 2423, 10980, 9154, 426, 30767, 16373, 3215, 36764, 24401, 43242, 376, 30767, 16373, 3215, 36764, 24401, 479, 295, 314, 413, 51], "avg_logprob": -0.2554209183673469, "compression_ratio": 1.338235294117647, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1259.92, "end": 1260.46, "word": "الان", "probability": 0.705078125}, {"start": 1260.46, "end": 1260.78, "word": " من", "probability": 0.65380859375}, {"start": 1260.78, "end": 1260.96, "word": " الـ", "probability": 0.70166015625}, {"start": 1260.96, "end": 1261.28, "word": " star", "probability": 0.287841796875}, {"start": 1261.28, "end": 1261.8, "word": " خلّينا", "probability": 0.80048828125}, {"start": 1261.8, "end": 1262.32, "word": " نركز", "probability": 0.88623046875}, {"start": 1262.32, "end": 1262.6, "word": " على", "probability": 0.82763671875}, {"start": 1262.6, "end": 1263.48, "word": " المنطقة", "probability": 0.959716796875}, {"start": 1263.48, "end": 1264.18, "word": " اللي", "probability": 0.8564453125}, {"start": 1264.18, "end": 1264.58, "word": " هي", "probability": 0.78173828125}, {"start": 1264.58, "end": 1265.54, "word": " الان", "probability": 0.6953125}, {"start": 1265.54, "end": 1266.38, "word": " بتاخد", "probability": 0.74267578125}, {"start": 1266.38, "end": 1266.56, "word": " ال", "probability": 0.98095703125}, {"start": 1266.56, "end": 1267.26, "word": " integration", "probability": 0.8994140625}, {"start": 1267.26, "end": 1268.18, "word": " من", "probability": 0.90771484375}, {"start": 1268.18, "end": 1268.4, "word": " N", "probability": 0.2086181640625}, {"start": 1268.4, "end": 1268.72, "word": " زائد", "probability": 0.6842447916666666}, {"start": 1268.72, "end": 1269.06, "word": " واحد", "probability": 0.861328125}, {"start": 1269.06, "end": 1269.3, "word": " عند", "probability": 0.484130859375}, {"start": 1269.3, "end": 1269.5, "word": " M", "probability": 0.94091796875}, {"start": 1269.5, "end": 1269.84, "word": " زائد", "probability": 0.9742838541666666}, {"start": 1269.84, "end": 1270.24, "word": " واحد", "probability": 0.985107421875}, {"start": 1270.24, "end": 1270.52, "word": " F", "probability": 0.46240234375}, {"start": 1270.52, "end": 1270.76, "word": " of", "probability": 0.546875}, {"start": 1270.76, "end": 1271.22, "word": " T", "probability": 0.88671875}, {"start": 1271.22, "end": 1272.14, "word": " DT", "probability": 0.6175537109375}], "temperature": 1.0}, {"id": 58, "seek": 129035, "start": 1272.88, "end": 1290.36, "text": "ماشي الحال هيصير عبارة عن N زائد واحد وهذا M زائد واحد بناء عليها هتصير M زائد واحد ناقص واحد يعني M و N زائد واحد ناقص واحد يعني N فبصير ال integration من N زائد واحد عند M زائد واحد F of T DT أصغر و أسهر و SM ناقص من SN", "tokens": [2304, 33599, 1829, 21542, 6027, 39896, 9381, 13546, 6225, 3555, 9640, 3660, 18871, 426, 30767, 16373, 3215, 36764, 24401, 37037, 15730, 376, 30767, 16373, 3215, 36764, 24401, 44945, 16606, 25894, 11296, 8032, 2655, 9381, 13546, 376, 30767, 16373, 3215, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 37495, 22653, 376, 4032, 426, 30767, 16373, 3215, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 37495, 22653, 426, 6156, 3555, 9381, 13546, 2423, 10980, 9154, 426, 30767, 16373, 3215, 36764, 24401, 43242, 376, 30767, 16373, 3215, 36764, 24401, 479, 295, 314, 413, 51, 5551, 9381, 17082, 2288, 4032, 5551, 3794, 3224, 2288, 4032, 13115, 8717, 995, 4587, 9381, 9154, 13955], "avg_logprob": -0.17531536259782424, "compression_ratio": 1.9944751381215469, "no_speech_prob": 3.933906555175781e-06, "words": [{"start": 1272.88, "end": 1273.3, "word": "ماشي", "probability": 0.8033854166666666}, {"start": 1273.3, "end": 1273.66, "word": " الحال", "probability": 0.783203125}, {"start": 1273.66, "end": 1274.58, "word": " هيصير", "probability": 0.7913411458333334}, {"start": 1274.58, "end": 1274.94, "word": " عبارة", "probability": 0.9244384765625}, {"start": 1274.94, "end": 1275.06, "word": " عن", "probability": 0.99560546875}, {"start": 1275.06, "end": 1275.26, "word": " N", "probability": 0.140625}, {"start": 1275.26, "end": 1275.66, "word": " زائد", "probability": 0.5870768229166666}, {"start": 1275.66, "end": 1276.02, "word": " واحد", "probability": 0.91552734375}, {"start": 1276.02, "end": 1276.28, "word": " وهذا", "probability": 0.77001953125}, {"start": 1276.28, "end": 1276.42, "word": " M", "probability": 0.9111328125}, {"start": 1276.42, "end": 1276.74, "word": " زائد", "probability": 0.85009765625}, {"start": 1276.74, "end": 1277.08, "word": " واحد", "probability": 0.989013671875}, {"start": 1277.08, "end": 1277.48, "word": " بناء", "probability": 0.909423828125}, {"start": 1277.48, "end": 1277.94, "word": " عليها", "probability": 0.891357421875}, {"start": 1277.94, "end": 1278.5, "word": " هتصير", "probability": 0.74749755859375}, {"start": 1278.5, "end": 1278.7, "word": " M", "probability": 0.80078125}, {"start": 1278.7, "end": 1279.02, "word": " زائد", "probability": 0.9436848958333334}, {"start": 1279.02, "end": 1279.34, "word": " واحد", "probability": 0.99462890625}, {"start": 1279.34, "end": 1279.7, "word": " ناقص", "probability": 0.934814453125}, {"start": 1279.7, "end": 1280.0, "word": " واحد", "probability": 0.988525390625}, {"start": 1280.0, "end": 1280.26, "word": " يعني", "probability": 0.894287109375}, {"start": 1280.26, "end": 1280.56, "word": " M", "probability": 0.947265625}, {"start": 1280.56, "end": 1281.2, "word": " و", "probability": 0.826171875}, {"start": 1281.2, "end": 1281.36, "word": " N", "probability": 0.476318359375}, {"start": 1281.36, "end": 1281.64, "word": " زائد", "probability": 0.9645182291666666}, {"start": 1281.64, "end": 1281.92, "word": " واحد", "probability": 0.995361328125}, {"start": 1281.92, "end": 1282.28, "word": " ناقص", "probability": 0.9920654296875}, {"start": 1282.28, "end": 1282.58, "word": " واحد", "probability": 0.99169921875}, {"start": 1282.58, "end": 1282.88, "word": " يعني", "probability": 0.95556640625}, {"start": 1282.88, "end": 1283.14, "word": " N", "probability": 0.9609375}, {"start": 1283.14, "end": 1283.92, "word": " فبصير", "probability": 0.8450927734375}, {"start": 1283.92, "end": 1284.0, "word": " ال", "probability": 0.98974609375}, {"start": 1284.0, "end": 1284.56, "word": " integration", "probability": 0.9462890625}, {"start": 1284.56, "end": 1284.8, "word": " من", "probability": 0.94140625}, {"start": 1284.8, "end": 1284.98, "word": " N", "probability": 0.75537109375}, {"start": 1284.98, "end": 1285.24, "word": " زائد", "probability": 0.8800455729166666}, {"start": 1285.24, "end": 1285.46, "word": " واحد", "probability": 0.99267578125}, {"start": 1285.46, "end": 1285.66, "word": " عند", "probability": 0.6220703125}, {"start": 1285.66, "end": 1285.82, "word": " M", "probability": 0.97119140625}, {"start": 1285.82, "end": 1286.08, "word": " زائد", "probability": 0.9358723958333334}, {"start": 1286.08, "end": 1286.48, "word": " واحد", "probability": 0.994140625}, {"start": 1286.48, "end": 1287.02, "word": " F", "probability": 0.434326171875}, {"start": 1287.02, "end": 1287.18, "word": " of", "probability": 0.499267578125}, {"start": 1287.18, "end": 1287.34, "word": " T", "probability": 0.8095703125}, {"start": 1287.34, "end": 1287.6, "word": " DT", "probability": 0.5843505859375}, {"start": 1287.6, "end": 1287.9, "word": " أصغر", "probability": 0.9404296875}, {"start": 1287.9, "end": 1287.98, "word": " و", "probability": 0.39697265625}, {"start": 1287.98, "end": 1288.08, "word": " أسهر", "probability": 0.6619873046875}, {"start": 1288.08, "end": 1288.18, "word": " و", "probability": 0.7880859375}, {"start": 1288.18, "end": 1288.48, "word": " SM", "probability": 0.73876953125}, {"start": 1288.48, "end": 1288.96, "word": " ناقص", "probability": 0.9779052734375}, {"start": 1288.96, "end": 1289.38, "word": " من", "probability": 0.9609375}, {"start": 1289.38, "end": 1290.36, "word": " SN", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 59, "seek": 131436, "start": 1293.32, "end": 1314.36, "text": "الان بتنتين مع بعض اللي هي SM ناقص لSN هيها أصغر أو شاوي ال integration من N لعند M F of T DT هي هذه أصغر أو شاوي هذه كتبت هان وهذه كتبت هان SM ناقص لSN أكبر من ال integration من N زائد واحد لعند مين لعند M زائد واحد", "tokens": [6027, 7649, 39894, 29399, 9957, 20449, 45030, 11242, 13672, 1829, 39896, 13115, 8717, 995, 4587, 9381, 5296, 32481, 39896, 11296, 5551, 9381, 17082, 2288, 34051, 13412, 995, 45865, 2423, 10980, 9154, 426, 5296, 3615, 41260, 376, 479, 295, 314, 413, 51, 39896, 29538, 5551, 9381, 17082, 2288, 34051, 13412, 995, 45865, 29538, 9122, 2655, 3555, 2655, 8032, 7649, 37037, 24192, 9122, 2655, 3555, 2655, 8032, 7649, 13115, 8717, 995, 4587, 9381, 5296, 32481, 5551, 4117, 26890, 9154, 2423, 10980, 9154, 426, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 376, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.3050742468031326, "compression_ratio": 1.879120879120879, "no_speech_prob": 0.0, "words": [{"start": 1293.32, "end": 1294.04, "word": "الان", "probability": 0.825927734375}, {"start": 1294.04, "end": 1294.76, "word": " بتنتين", "probability": 0.3028971354166667}, {"start": 1294.76, "end": 1294.9, "word": " مع", "probability": 0.97802734375}, {"start": 1294.9, "end": 1295.38, "word": " بعض", "probability": 0.995361328125}, {"start": 1295.38, "end": 1295.96, "word": " اللي", "probability": 0.75634765625}, {"start": 1295.96, "end": 1296.14, "word": " هي", "probability": 0.80126953125}, {"start": 1296.14, "end": 1296.66, "word": " SM", "probability": 0.164306640625}, {"start": 1296.66, "end": 1297.22, "word": " ناقص", "probability": 0.734375}, {"start": 1297.22, "end": 1297.84, "word": " لSN", "probability": 0.6114501953125}, {"start": 1297.84, "end": 1298.86, "word": " هيها", "probability": 0.543701171875}, {"start": 1298.86, "end": 1299.9, "word": " أصغر", "probability": 0.90869140625}, {"start": 1299.9, "end": 1300.06, "word": " أو", "probability": 0.94873046875}, {"start": 1300.06, "end": 1300.36, "word": " شاوي", "probability": 0.7061360677083334}, {"start": 1300.36, "end": 1300.48, "word": " ال", "probability": 0.931640625}, {"start": 1300.48, "end": 1300.96, "word": " integration", "probability": 0.92041015625}, {"start": 1300.96, "end": 1301.24, "word": " من", "probability": 0.9521484375}, {"start": 1301.24, "end": 1301.56, "word": " N", "probability": 0.76611328125}, {"start": 1301.56, "end": 1301.94, "word": " لعند", "probability": 0.6142171223958334}, {"start": 1301.94, "end": 1302.16, "word": " M", "probability": 0.966796875}, {"start": 1302.16, "end": 1302.32, "word": " F", "probability": 0.2861328125}, {"start": 1302.32, "end": 1302.46, "word": " of", "probability": 0.26318359375}, {"start": 1302.46, "end": 1302.62, "word": " T", "probability": 0.9091796875}, {"start": 1302.62, "end": 1303.14, "word": " DT", "probability": 0.689697265625}, {"start": 1303.14, "end": 1303.74, "word": " هي", "probability": 0.40625}, {"start": 1303.74, "end": 1304.1, "word": " هذه", "probability": 0.2098388671875}, {"start": 1304.1, "end": 1304.46, "word": " أصغر", "probability": 0.9317626953125}, {"start": 1304.46, "end": 1304.58, "word": " أو", "probability": 0.96337890625}, {"start": 1304.58, "end": 1304.9, "word": " شاوي", "probability": 0.96142578125}, {"start": 1304.9, "end": 1305.4, "word": " هذه", "probability": 0.83544921875}, {"start": 1305.4, "end": 1306.64, "word": " كتبت", "probability": 0.750732421875}, {"start": 1306.64, "end": 1307.02, "word": " هان", "probability": 0.45391845703125}, {"start": 1307.02, "end": 1307.94, "word": " وهذه", "probability": 0.78564453125}, {"start": 1307.94, "end": 1308.84, "word": " كتبت", "probability": 0.9576416015625}, {"start": 1308.84, "end": 1309.04, "word": " هان", "probability": 0.897705078125}, {"start": 1309.04, "end": 1309.34, "word": " SM", "probability": 0.82373046875}, {"start": 1309.34, "end": 1309.7, "word": " ناقص", "probability": 0.98583984375}, {"start": 1309.7, "end": 1309.98, "word": " لSN", "probability": 0.695068359375}, {"start": 1309.98, "end": 1310.34, "word": " أكبر", "probability": 0.8894856770833334}, {"start": 1310.34, "end": 1310.44, "word": " من", "probability": 0.970703125}, {"start": 1310.44, "end": 1310.5, "word": " ال", "probability": 0.52783203125}, {"start": 1310.5, "end": 1310.84, "word": " integration", "probability": 0.9482421875}, {"start": 1310.84, "end": 1310.98, "word": " من", "probability": 0.4453125}, {"start": 1310.98, "end": 1311.04, "word": " N", "probability": 0.798828125}, {"start": 1311.04, "end": 1311.32, "word": " زائد", "probability": 0.6656901041666666}, {"start": 1311.32, "end": 1311.66, "word": " واحد", "probability": 0.86328125}, {"start": 1311.66, "end": 1312.36, "word": " لعند", "probability": 0.9469401041666666}, {"start": 1312.36, "end": 1312.76, "word": " مين", "probability": 0.783203125}, {"start": 1312.76, "end": 1313.22, "word": " لعند", "probability": 0.88037109375}, {"start": 1313.22, "end": 1313.56, "word": " M", "probability": 0.98193359375}, {"start": 1313.56, "end": 1314.08, "word": " زائد", "probability": 0.9215494791666666}, {"start": 1314.08, "end": 1314.36, "word": " واحد", "probability": 0.983154296875}], "temperature": 1.0}, {"id": 60, "seek": 133537, "start": 1314.63, "end": 1335.37, "text": "لأن احنا متفجرين ان الـ series converge و البروبر انتيجرة converge اذا الان خد ل M و وديها لما لنهاية لما احنا ماخدين ال M اشمالها اكبر من الان بوديها زي ما بده و بتضلها الآن زي ما بدها الان as M goes to infinity هتصير هذه عبارة عن ال summation لل series يعني هتصير S هذه", "tokens": [1211, 33456, 1975, 5016, 8315, 44650, 5172, 7435, 2288, 9957, 16472, 2423, 39184, 2638, 41881, 4032, 2423, 26890, 37746, 2288, 16472, 31371, 7435, 25720, 41881, 1975, 15730, 2423, 7649, 16490, 3215, 5296, 376, 4032, 4032, 16254, 11296, 5296, 15042, 5296, 1863, 11296, 10632, 5296, 15042, 1975, 5016, 8315, 3714, 47283, 3215, 9957, 2423, 376, 1975, 8592, 2304, 6027, 11296, 1975, 4117, 26890, 9154, 2423, 7649, 4724, 2407, 16254, 11296, 30767, 1829, 19446, 47525, 3224, 4032, 39894, 11242, 1211, 11296, 6024, 48506, 30767, 1829, 19446, 47525, 11296, 2423, 7649, 382, 376, 1709, 281, 13202, 8032, 2655, 9381, 13546, 29538, 6225, 3555, 9640, 3660, 18871, 2423, 28811, 24976, 2638, 37495, 22653, 8032, 2655, 9381, 13546, 318, 29538], "avg_logprob": -0.30199352009543057, "compression_ratio": 1.8101265822784811, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1314.63, "end": 1314.95, "word": "لأن", "probability": 0.759765625}, {"start": 1314.95, "end": 1315.15, "word": " احنا", "probability": 0.7107340494791666}, {"start": 1315.15, "end": 1315.99, "word": " متفجرين", "probability": 0.701220703125}, {"start": 1315.99, "end": 1316.29, "word": " ان", "probability": 0.474365234375}, {"start": 1316.29, "end": 1316.85, "word": " الـ", "probability": 0.6376953125}, {"start": 1316.85, "end": 1317.25, "word": " series", "probability": 0.300537109375}, {"start": 1317.25, "end": 1317.99, "word": " converge", "probability": 0.3232421875}, {"start": 1317.99, "end": 1318.23, "word": " و", "probability": 0.8349609375}, {"start": 1318.23, "end": 1318.95, "word": " البروبر", "probability": 0.63067626953125}, {"start": 1318.95, "end": 1319.45, "word": " انتيجرة", "probability": 0.7799072265625}, {"start": 1319.45, "end": 1320.07, "word": " converge", "probability": 0.830078125}, {"start": 1320.07, "end": 1320.87, "word": " اذا", "probability": 0.59210205078125}, {"start": 1320.87, "end": 1321.31, "word": " الان", "probability": 0.546630859375}, {"start": 1321.31, "end": 1321.83, "word": " خد", "probability": 0.77880859375}, {"start": 1321.83, "end": 1321.95, "word": " ل", "probability": 0.7548828125}, {"start": 1321.95, "end": 1322.11, "word": " M", "probability": 0.429443359375}, {"start": 1322.11, "end": 1322.25, "word": " و", "probability": 0.96142578125}, {"start": 1322.25, "end": 1322.55, "word": " وديها", "probability": 0.7574055989583334}, {"start": 1322.55, "end": 1322.81, "word": " لما", "probability": 0.50567626953125}, {"start": 1322.81, "end": 1323.21, "word": " لنهاية", "probability": 0.7799072265625}, {"start": 1323.21, "end": 1323.39, "word": " لما", "probability": 0.6868896484375}, {"start": 1323.39, "end": 1323.57, "word": " احنا", "probability": 0.828125}, {"start": 1323.57, "end": 1323.91, "word": " ماخدين", "probability": 0.9215087890625}, {"start": 1323.91, "end": 1324.03, "word": " ال", "probability": 0.71875}, {"start": 1324.03, "end": 1324.19, "word": " M", "probability": 0.8447265625}, {"start": 1324.19, "end": 1324.79, "word": " اشمالها", "probability": 0.8103515625}, {"start": 1324.79, "end": 1325.31, "word": " اكبر", "probability": 0.87548828125}, {"start": 1325.31, "end": 1325.49, "word": " من", "probability": 0.98583984375}, {"start": 1325.49, "end": 1325.77, "word": " الان", "probability": 0.709228515625}, {"start": 1325.77, "end": 1326.21, "word": " بوديها", "probability": 0.9093017578125}, {"start": 1326.21, "end": 1326.39, "word": " زي", "probability": 0.920654296875}, {"start": 1326.39, "end": 1326.43, "word": " ما", "probability": 0.931640625}, {"start": 1326.43, "end": 1326.81, "word": " بده", "probability": 0.784912109375}, {"start": 1326.81, "end": 1327.15, "word": " و", "probability": 0.75537109375}, {"start": 1327.15, "end": 1327.59, "word": " بتضلها", "probability": 0.7347412109375}, {"start": 1327.59, "end": 1327.83, "word": " الآن", "probability": 0.6951904296875}, {"start": 1327.83, "end": 1328.05, "word": " زي", "probability": 0.989501953125}, {"start": 1328.05, "end": 1328.11, "word": " ما", "probability": 0.94921875}, {"start": 1328.11, "end": 1328.49, "word": " بدها", "probability": 0.955078125}, {"start": 1328.49, "end": 1329.09, "word": " الان", "probability": 0.913330078125}, {"start": 1329.09, "end": 1329.35, "word": " as", "probability": 0.81396484375}, {"start": 1329.35, "end": 1329.53, "word": " M", "probability": 0.97412109375}, {"start": 1329.53, "end": 1329.81, "word": " goes", "probability": 0.8798828125}, {"start": 1329.81, "end": 1329.97, "word": " to", "probability": 0.92822265625}, {"start": 1329.97, "end": 1330.47, "word": " infinity", "probability": 0.82763671875}, {"start": 1330.47, "end": 1331.57, "word": " هتصير", "probability": 0.7598876953125}, {"start": 1331.57, "end": 1331.89, "word": " هذه", "probability": 0.55712890625}, {"start": 1331.89, "end": 1332.33, "word": " عبارة", "probability": 0.9833984375}, {"start": 1332.33, "end": 1332.47, "word": " عن", "probability": 0.9931640625}, {"start": 1332.47, "end": 1332.59, "word": " ال", "probability": 0.53955078125}, {"start": 1332.59, "end": 1332.93, "word": " summation", "probability": 0.231201171875}, {"start": 1332.93, "end": 1333.21, "word": " لل", "probability": 0.87255859375}, {"start": 1333.21, "end": 1333.67, "word": " series", "probability": 0.89990234375}, {"start": 1333.67, "end": 1334.25, "word": " يعني", "probability": 0.892822265625}, {"start": 1334.25, "end": 1334.75, "word": " هتصير", "probability": 0.947998046875}, {"start": 1334.75, "end": 1335.03, "word": " S", "probability": 0.76025390625}, {"start": 1335.03, "end": 1335.37, "word": " هذه", "probability": 0.8681640625}], "temperature": 1.0}, {"id": 61, "seek": 135448, "start": 1335.84, "end": 1354.48, "text": "إذاً هذا سيصبح S وهذا سيصبح لهم proper integral من N زائد واحد إلى ما لا نهاية وهذا سيصبح لهم proper integral من N إلى ما لا نهاية يعني سيصبح لدي بالظبط الـ S ناقص S N أكبر أو يساوي من N زائد واحد إلى ما لا نهاية ومن N إلى ما لا نهاية", "tokens": [28814, 15730, 14111, 23758, 8608, 1829, 9381, 49628, 318, 37037, 15730, 8608, 1829, 9381, 49628, 5296, 16095, 2296, 11573, 9154, 426, 30767, 16373, 3215, 36764, 24401, 30731, 19446, 20193, 8717, 11296, 10632, 37037, 15730, 8608, 1829, 9381, 49628, 5296, 16095, 2296, 11573, 9154, 426, 30731, 19446, 20193, 8717, 11296, 10632, 37495, 22653, 8608, 1829, 9381, 49628, 5296, 16254, 20666, 19913, 3555, 9566, 2423, 39184, 318, 8717, 995, 4587, 9381, 318, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 9154, 426, 30767, 16373, 3215, 36764, 24401, 30731, 19446, 20193, 8717, 11296, 10632, 4032, 27842, 426, 30731, 19446, 20193, 8717, 11296, 10632], "avg_logprob": -0.26179533612494377, "compression_ratio": 2.36875, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1335.84, "end": 1336.22, "word": "إذاً", "probability": 0.4873046875}, {"start": 1336.22, "end": 1336.42, "word": " هذا", "probability": 0.259521484375}, {"start": 1336.42, "end": 1336.84, "word": " سيصبح", "probability": 0.7269287109375}, {"start": 1336.84, "end": 1337.04, "word": " S", "probability": 0.495361328125}, {"start": 1337.04, "end": 1337.36, "word": " وهذا", "probability": 0.741943359375}, {"start": 1337.36, "end": 1337.7, "word": " سيصبح", "probability": 0.7960205078125}, {"start": 1337.7, "end": 1337.84, "word": " لهم", "probability": 0.445343017578125}, {"start": 1337.84, "end": 1338.04, "word": " proper", "probability": 0.10430908203125}, {"start": 1338.04, "end": 1338.6, "word": " integral", "probability": 0.82568359375}, {"start": 1338.6, "end": 1339.14, "word": " من", "probability": 0.8251953125}, {"start": 1339.14, "end": 1339.28, "word": " N", "probability": 0.376220703125}, {"start": 1339.28, "end": 1339.58, "word": " زائد", "probability": 0.7274576822916666}, {"start": 1339.58, "end": 1339.92, "word": " واحد", "probability": 0.903076171875}, {"start": 1339.92, "end": 1340.1, "word": " إلى", "probability": 0.94580078125}, {"start": 1340.1, "end": 1340.28, "word": " ما", "probability": 0.411376953125}, {"start": 1340.28, "end": 1340.34, "word": " لا", "probability": 0.845703125}, {"start": 1340.34, "end": 1340.82, "word": " نهاية", "probability": 0.9348958333333334}, {"start": 1340.82, "end": 1341.4, "word": " وهذا", "probability": 0.86669921875}, {"start": 1341.4, "end": 1341.7, "word": " سيصبح", "probability": 0.9478759765625}, {"start": 1341.7, "end": 1341.86, "word": " لهم", "probability": 0.87939453125}, {"start": 1341.86, "end": 1342.1, "word": " proper", "probability": 0.92236328125}, {"start": 1342.1, "end": 1342.6, "word": " integral", "probability": 0.869140625}, {"start": 1342.6, "end": 1342.84, "word": " من", "probability": 0.96484375}, {"start": 1342.84, "end": 1343.12, "word": " N", "probability": 0.9296875}, {"start": 1343.12, "end": 1343.58, "word": " إلى", "probability": 0.94482421875}, {"start": 1343.58, "end": 1344.24, "word": " ما", "probability": 0.94091796875}, {"start": 1344.24, "end": 1344.36, "word": " لا", "probability": 0.9736328125}, {"start": 1344.36, "end": 1344.88, "word": " نهاية", "probability": 0.96826171875}, {"start": 1344.88, "end": 1345.52, "word": " يعني", "probability": 0.8525390625}, {"start": 1345.52, "end": 1346.26, "word": " سيصبح", "probability": 0.888671875}, {"start": 1346.26, "end": 1346.7, "word": " لدي", "probability": 0.626708984375}, {"start": 1346.7, "end": 1347.54, "word": " بالظبط", "probability": 0.9228515625}, {"start": 1347.54, "end": 1348.18, "word": " الـ", "probability": 0.5030517578125}, {"start": 1348.18, "end": 1348.48, "word": " S", "probability": 0.61279296875}, {"start": 1348.48, "end": 1349.0, "word": " ناقص", "probability": 0.9378662109375}, {"start": 1349.0, "end": 1349.34, "word": " S", "probability": 0.5107421875}, {"start": 1349.34, "end": 1349.72, "word": " N", "probability": 0.383056640625}, {"start": 1349.72, "end": 1350.46, "word": " أكبر", "probability": 0.9493815104166666}, {"start": 1350.46, "end": 1350.6, "word": " أو", "probability": 0.52587890625}, {"start": 1350.6, "end": 1350.82, "word": " يساوي", "probability": 0.70294189453125}, {"start": 1350.82, "end": 1350.96, "word": " من", "probability": 0.9736328125}, {"start": 1350.96, "end": 1351.1, "word": " N", "probability": 0.8916015625}, {"start": 1351.1, "end": 1351.36, "word": " زائد", "probability": 0.9021809895833334}, {"start": 1351.36, "end": 1351.62, "word": " واحد", "probability": 0.98681640625}, {"start": 1351.62, "end": 1351.76, "word": " إلى", "probability": 0.96875}, {"start": 1351.76, "end": 1351.94, "word": " ما", "probability": 0.9599609375}, {"start": 1351.94, "end": 1352.02, "word": " لا", "probability": 0.9775390625}, {"start": 1352.02, "end": 1352.5, "word": " نهاية", "probability": 0.97021484375}, {"start": 1352.5, "end": 1353.14, "word": " ومن", "probability": 0.85400390625}, {"start": 1353.14, "end": 1353.44, "word": " N", "probability": 0.9501953125}, {"start": 1353.44, "end": 1353.66, "word": " إلى", "probability": 0.96630859375}, {"start": 1353.66, "end": 1353.86, "word": " ما", "probability": 0.97802734375}, {"start": 1353.86, "end": 1353.96, "word": " لا", "probability": 0.98583984375}, {"start": 1353.96, "end": 1354.48, "word": " نهاية", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 62, "seek": 137146, "start": 1354.96, "end": 1371.46, "text": "وهو هذا اللي مطلوب اللي احنا طلبناه من أول النظرية وقلنا حيث الـ S هي اللي بتمثل اللي هو limit لـ SM أو هي عبارة عن قيمة ال series من واحد إلى ملا نهاية", "tokens": [2407, 3224, 2407, 23758, 13672, 1829, 3714, 9566, 1211, 37746, 13672, 1829, 1975, 5016, 8315, 23032, 46152, 8315, 3224, 9154, 5551, 12610, 28239, 19913, 2288, 10632, 4032, 4587, 1211, 8315, 11331, 1829, 12984, 2423, 39184, 318, 39896, 13672, 1829, 39894, 2304, 12984, 1211, 13672, 1829, 31439, 4948, 5296, 39184, 13115, 34051, 39896, 6225, 3555, 9640, 3660, 18871, 12174, 32640, 3660, 2423, 2638, 9154, 36764, 24401, 30731, 3714, 15040, 8717, 11296, 10632], "avg_logprob": -0.1689453079468674, "compression_ratio": 1.5670731707317074, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 1354.96, "end": 1355.94, "word": "وهو", "probability": 0.81787109375}, {"start": 1355.94, "end": 1356.34, "word": " هذا", "probability": 0.89599609375}, {"start": 1356.34, "end": 1357.22, "word": " اللي", "probability": 0.611328125}, {"start": 1357.22, "end": 1358.32, "word": " مطلوب", "probability": 0.9002685546875}, {"start": 1358.32, "end": 1358.7, "word": " اللي", "probability": 0.80224609375}, {"start": 1358.7, "end": 1359.08, "word": " احنا", "probability": 0.8976236979166666}, {"start": 1359.08, "end": 1360.12, "word": " طلبناه", "probability": 0.981689453125}, {"start": 1360.12, "end": 1360.2, "word": " من", "probability": 0.97998046875}, {"start": 1360.2, "end": 1360.46, "word": " أول", "probability": 0.781494140625}, {"start": 1360.46, "end": 1361.1, "word": " النظرية", "probability": 0.887451171875}, {"start": 1361.1, "end": 1362.04, "word": " وقلنا", "probability": 0.8643798828125}, {"start": 1362.04, "end": 1362.64, "word": " حيث", "probability": 0.9817708333333334}, {"start": 1362.64, "end": 1362.98, "word": " الـ", "probability": 0.75732421875}, {"start": 1362.98, "end": 1363.14, "word": " S", "probability": 0.5107421875}, {"start": 1363.14, "end": 1363.3, "word": " هي", "probability": 0.82568359375}, {"start": 1363.3, "end": 1363.44, "word": " اللي", "probability": 0.96923828125}, {"start": 1363.44, "end": 1364.14, "word": " بتمثل", "probability": 0.9302978515625}, {"start": 1364.14, "end": 1364.6, "word": " اللي", "probability": 0.965087890625}, {"start": 1364.6, "end": 1364.78, "word": " هو", "probability": 0.95947265625}, {"start": 1364.78, "end": 1365.24, "word": " limit", "probability": 0.5}, {"start": 1365.24, "end": 1365.92, "word": " لـ", "probability": 0.767822265625}, {"start": 1365.92, "end": 1366.24, "word": " SM", "probability": 0.55078125}, {"start": 1366.24, "end": 1366.52, "word": " أو", "probability": 0.72412109375}, {"start": 1366.52, "end": 1366.76, "word": " هي", "probability": 0.67333984375}, {"start": 1366.76, "end": 1367.26, "word": " عبارة", "probability": 0.9952392578125}, {"start": 1367.26, "end": 1367.54, "word": " عن", "probability": 0.9970703125}, {"start": 1367.54, "end": 1369.3, "word": " قيمة", "probability": 0.9921875}, {"start": 1369.3, "end": 1369.52, "word": " ال", "probability": 0.9384765625}, {"start": 1369.52, "end": 1369.84, "word": " series", "probability": 0.78515625}, {"start": 1369.84, "end": 1370.1, "word": " من", "probability": 0.982421875}, {"start": 1370.1, "end": 1370.56, "word": " واحد", "probability": 0.890869140625}, {"start": 1370.56, "end": 1370.82, "word": " إلى", "probability": 0.91748046875}, {"start": 1370.82, "end": 1371.1, "word": " ملا", "probability": 0.634033203125}, {"start": 1371.1, "end": 1371.46, "word": " نهاية", "probability": 0.7708333333333334}], "temperature": 1.0}, {"id": 63, "seek": 140118, "start": 1371.82, "end": 1401.18, "text": "examples بدنا الآن نحاول نستخدم اللي هو النظريات اللي قبل بشوية نوظفها لل examples اللي عندنا وهذه طبعا هتلاقيها معظمها انتوا أخدتوها في ال calculus نذكرها بشكل سريع بس عساس انه نشوف ال applications لهذه النظريات اللي احنا مركزين على اللي هو النظر التحليلية لها او بمعنى اخر على براهين اللي هي النظريات", "tokens": [3121, 335, 2622, 47525, 8315, 6024, 48506, 8717, 5016, 995, 12610, 8717, 14851, 9778, 40448, 13672, 1829, 31439, 28239, 19913, 16572, 9307, 13672, 1829, 12174, 36150, 4724, 8592, 2407, 10632, 8717, 2407, 19913, 5172, 11296, 24976, 5110, 13672, 1829, 43242, 8315, 37037, 24192, 23032, 3555, 3615, 995, 8032, 2655, 15040, 38436, 11296, 20449, 19913, 2304, 11296, 16472, 2655, 14407, 5551, 9778, 3215, 2655, 2407, 11296, 8978, 2423, 33400, 8717, 8848, 37983, 11296, 4724, 8592, 28820, 8608, 16572, 3615, 4724, 3794, 6225, 3794, 32277, 16472, 3224, 8717, 8592, 38688, 2423, 5821, 46740, 24192, 28239, 19913, 16572, 9307, 13672, 1829, 1975, 5016, 8315, 3714, 31747, 11622, 9957, 15844, 13672, 1829, 31439, 28239, 19913, 2288, 16712, 5016, 20292, 1211, 10632, 5296, 11296, 1975, 2407, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 15844, 4724, 23557, 3224, 9957, 13672, 1829, 39896, 28239, 19913, 16572, 9307], "avg_logprob": -0.12389184629663508, "compression_ratio": 1.9325842696629214, "no_speech_prob": 4.112720489501953e-06, "words": [{"start": 1371.82, "end": 1372.62, "word": "examples", "probability": 0.7461751302083334}, {"start": 1372.62, "end": 1373.94, "word": " بدنا", "probability": 0.6767578125}, {"start": 1373.94, "end": 1374.26, "word": " الآن", "probability": 0.73046875}, {"start": 1374.26, "end": 1374.9, "word": " نحاول", "probability": 0.96435546875}, {"start": 1374.9, "end": 1375.88, "word": " نستخدم", "probability": 0.9932861328125}, {"start": 1375.88, "end": 1376.82, "word": " اللي", "probability": 0.849365234375}, {"start": 1376.82, "end": 1377.16, "word": " هو", "probability": 0.96435546875}, {"start": 1377.16, "end": 1378.54, "word": " النظريات", "probability": 0.901611328125}, {"start": 1378.54, "end": 1378.68, "word": " اللي", "probability": 0.91357421875}, {"start": 1378.68, "end": 1378.88, "word": " قبل", "probability": 0.82666015625}, {"start": 1378.88, "end": 1379.32, "word": " بشوية", "probability": 0.8240966796875}, {"start": 1379.32, "end": 1380.02, "word": " نوظفها", "probability": 0.91767578125}, {"start": 1380.02, "end": 1380.62, "word": " لل", "probability": 0.78955078125}, {"start": 1380.62, "end": 1381.38, "word": " examples", "probability": 0.59716796875}, {"start": 1381.38, "end": 1382.16, "word": " اللي", "probability": 0.98388671875}, {"start": 1382.16, "end": 1382.66, "word": " عندنا", "probability": 0.877197265625}, {"start": 1382.66, "end": 1383.36, "word": " وهذه", "probability": 0.782470703125}, {"start": 1383.36, "end": 1383.7, "word": " طبعا", "probability": 0.9871826171875}, {"start": 1383.7, "end": 1384.6, "word": " هتلاقيها", "probability": 0.90693359375}, {"start": 1384.6, "end": 1385.38, "word": " معظمها", "probability": 0.9896240234375}, {"start": 1385.38, "end": 1386.0, "word": " انتوا", "probability": 0.7764485677083334}, {"start": 1386.0, "end": 1386.48, "word": " أخدتوها", "probability": 0.9021809895833334}, {"start": 1386.48, "end": 1386.62, "word": " في", "probability": 0.83740234375}, {"start": 1386.62, "end": 1386.74, "word": " ال", "probability": 0.97705078125}, {"start": 1386.74, "end": 1387.2, "word": " calculus", "probability": 0.92431640625}, {"start": 1387.2, "end": 1388.24, "word": " نذكرها", "probability": 0.9483642578125}, {"start": 1388.24, "end": 1388.7, "word": " بشكل", "probability": 0.9959309895833334}, {"start": 1388.7, "end": 1389.44, "word": " سريع", "probability": 0.99462890625}, {"start": 1389.44, "end": 1389.72, "word": " بس", "probability": 0.963134765625}, {"start": 1389.72, "end": 1390.1, "word": " عساس", "probability": 0.8125}, {"start": 1390.1, "end": 1390.48, "word": " انه", "probability": 0.775634765625}, {"start": 1390.48, "end": 1390.9, "word": " نشوف", "probability": 0.9866536458333334}, {"start": 1390.9, "end": 1391.06, "word": " ال", "probability": 0.7509765625}, {"start": 1391.06, "end": 1391.7, "word": " applications", "probability": 0.923828125}, {"start": 1391.7, "end": 1392.24, "word": " لهذه", "probability": 0.739990234375}, {"start": 1392.24, "end": 1392.86, "word": " النظريات", "probability": 0.975830078125}, {"start": 1392.86, "end": 1393.58, "word": " اللي", "probability": 0.97412109375}, {"start": 1393.58, "end": 1393.9, "word": " احنا", "probability": 0.9622395833333334}, {"start": 1393.9, "end": 1394.68, "word": " مركزين", "probability": 0.9432373046875}, {"start": 1394.68, "end": 1395.08, "word": " على", "probability": 0.56884765625}, {"start": 1395.08, "end": 1395.8, "word": " اللي", "probability": 0.949951171875}, {"start": 1395.8, "end": 1396.02, "word": " هو", "probability": 0.95263671875}, {"start": 1396.02, "end": 1396.44, "word": " النظر", "probability": 0.8063151041666666}, {"start": 1396.44, "end": 1397.18, "word": " التحليلية", "probability": 0.947265625}, {"start": 1397.18, "end": 1397.56, "word": " لها", "probability": 0.7061767578125}, {"start": 1397.56, "end": 1397.78, "word": " او", "probability": 0.774169921875}, {"start": 1397.78, "end": 1398.2, "word": " بمعنى", "probability": 0.9900390625}, {"start": 1398.2, "end": 1398.58, "word": " اخر", "probability": 0.812255859375}, {"start": 1398.58, "end": 1399.18, "word": " على", "probability": 0.90771484375}, {"start": 1399.18, "end": 1399.84, "word": " براهين", "probability": 0.9029541015625}, {"start": 1399.84, "end": 1400.2, "word": " اللي", "probability": 0.94580078125}, {"start": 1400.2, "end": 1400.52, "word": " هي", "probability": 0.935546875}, {"start": 1400.52, "end": 1401.18, "word": " النظريات", "probability": 0.9388427734375}], "temperature": 1.0}, {"id": 64, "seek": 141084, "start": 1401.4, "end": 1410.84, "text": "Show that the b series summation 1 ده لأن b diverges for b أصغر أو يساوي 1 الان بدنا نستخدم ال comparison test", "tokens": [27692, 300, 264, 272, 2638, 28811, 502, 11778, 3224, 5296, 33456, 272, 18558, 2880, 337, 272, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 502, 2423, 7649, 47525, 8315, 8717, 14851, 9778, 40448, 2423, 9660, 1500], "avg_logprob": -0.4584704025795585, "compression_ratio": 1.0923076923076922, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1401.4, "end": 1401.8, "word": "Show", "probability": 0.39990234375}, {"start": 1401.8, "end": 1402.14, "word": " that", "probability": 0.76953125}, {"start": 1402.14, "end": 1402.32, "word": " the", "probability": 0.335693359375}, {"start": 1402.32, "end": 1402.5, "word": " b", "probability": 0.36572265625}, {"start": 1402.5, "end": 1402.84, "word": " series", "probability": 0.388427734375}, {"start": 1402.84, "end": 1403.2, "word": " summation", "probability": 0.2880859375}, {"start": 1403.2, "end": 1403.48, "word": " 1", "probability": 0.8662109375}, {"start": 1403.48, "end": 1403.74, "word": " ده", "probability": 0.24249267578125}, {"start": 1403.74, "end": 1404.02, "word": " لأن", "probability": 0.6357421875}, {"start": 1404.02, "end": 1404.32, "word": " b", "probability": 0.69970703125}, {"start": 1404.32, "end": 1405.34, "word": " diverges", "probability": 0.52593994140625}, {"start": 1405.34, "end": 1405.58, "word": " for", "probability": 0.440185546875}, {"start": 1405.58, "end": 1405.78, "word": " b", "probability": 0.90673828125}, {"start": 1405.78, "end": 1406.16, "word": " أصغر", "probability": 0.9642333984375}, {"start": 1406.16, "end": 1406.24, "word": " أو", "probability": 0.8349609375}, {"start": 1406.24, "end": 1406.7, "word": " يساوي", "probability": 0.9345703125}, {"start": 1406.7, "end": 1407.44, "word": " 1", "probability": 0.556640625}, {"start": 1407.44, "end": 1408.56, "word": " الان", "probability": 0.54931640625}, {"start": 1408.56, "end": 1408.82, "word": " بدنا", "probability": 0.8994140625}, {"start": 1408.82, "end": 1409.44, "word": " نستخدم", "probability": 0.9874267578125}, {"start": 1409.44, "end": 1409.54, "word": " ال", "probability": 0.69189453125}, {"start": 1409.54, "end": 1410.1, "word": " comparison", "probability": 0.393798828125}, {"start": 1410.1, "end": 1410.84, "word": " test", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 65, "seek": 143224, "start": 1412.38, "end": 1432.24, "text": "فعنده الان أن قص بي أصغر أو يساوي أن أكيد لكل أن element in N و ال بي أشمالها أصغر أو يساوي واحد يعني ل ال بي اللي أصغر من واحد هيكون أن قص بي أكيد أصغر أو يساوي من أن الان مقلبه هينقلب واحدة لأن بي أكبر أو يساوي واحدة لأن الان ال summation هذا اللي diverse", "tokens": [5172, 3615, 41260, 3224, 2423, 7649, 14739, 12174, 9381, 4724, 1829, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 14739, 5551, 4117, 25708, 5296, 28820, 14739, 4478, 294, 426, 4032, 2423, 4724, 1829, 5551, 8592, 2304, 6027, 11296, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 36764, 24401, 37495, 22653, 5296, 2423, 4724, 1829, 13672, 1829, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 39896, 30544, 14739, 12174, 9381, 4724, 1829, 5551, 4117, 25708, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 9154, 14739, 2423, 7649, 3714, 4587, 46152, 3224, 39896, 1863, 4587, 46152, 36764, 24401, 3660, 5296, 33456, 4724, 1829, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 36764, 24401, 3660, 5296, 33456, 2423, 7649, 2423, 28811, 23758, 13672, 1829, 9521], "avg_logprob": -0.2268749942779541, "compression_ratio": 2.1878172588832485, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1412.38, "end": 1413.0, "word": "فعنده", "probability": 0.629730224609375}, {"start": 1413.0, "end": 1413.36, "word": " الان", "probability": 0.6435546875}, {"start": 1413.36, "end": 1413.72, "word": " أن", "probability": 0.339599609375}, {"start": 1413.72, "end": 1414.0, "word": " قص", "probability": 0.5616455078125}, {"start": 1414.0, "end": 1414.38, "word": " بي", "probability": 0.887451171875}, {"start": 1414.38, "end": 1414.78, "word": " أصغر", "probability": 0.9725341796875}, {"start": 1414.78, "end": 1414.92, "word": " أو", "probability": 0.93701171875}, {"start": 1414.92, "end": 1415.28, "word": " يساوي", "probability": 0.74298095703125}, {"start": 1415.28, "end": 1415.58, "word": " أن", "probability": 0.361083984375}, {"start": 1415.58, "end": 1416.3, "word": " أكيد", "probability": 0.8255208333333334}, {"start": 1416.3, "end": 1416.68, "word": " لكل", "probability": 0.962646484375}, {"start": 1416.68, "end": 1416.92, "word": " أن", "probability": 0.505859375}, {"start": 1416.92, "end": 1417.3, "word": " element", "probability": 0.90966796875}, {"start": 1417.3, "end": 1417.54, "word": " in", "probability": 0.72119140625}, {"start": 1417.54, "end": 1417.76, "word": " N", "probability": 0.41259765625}, {"start": 1417.76, "end": 1417.92, "word": " و", "probability": 0.42724609375}, {"start": 1417.92, "end": 1418.02, "word": " ال", "probability": 0.65234375}, {"start": 1418.02, "end": 1418.22, "word": " بي", "probability": 0.64453125}, {"start": 1418.22, "end": 1418.94, "word": " أشمالها", "probability": 0.9212890625}, {"start": 1418.94, "end": 1419.64, "word": " أصغر", "probability": 0.9820556640625}, {"start": 1419.64, "end": 1419.74, "word": " أو", "probability": 0.951171875}, {"start": 1419.74, "end": 1419.98, "word": " يساوي", "probability": 0.9744873046875}, {"start": 1419.98, "end": 1420.28, "word": " واحد", "probability": 0.88623046875}, {"start": 1420.28, "end": 1420.56, "word": " يعني", "probability": 0.879638671875}, {"start": 1420.56, "end": 1420.72, "word": " ل", "probability": 0.489990234375}, {"start": 1420.72, "end": 1420.86, "word": " ال", "probability": 0.3466796875}, {"start": 1420.86, "end": 1421.18, "word": " بي", "probability": 0.764892578125}, {"start": 1421.18, "end": 1421.4, "word": " اللي", "probability": 0.891357421875}, {"start": 1421.4, "end": 1421.72, "word": " أصغر", "probability": 0.982666015625}, {"start": 1421.72, "end": 1421.82, "word": " من", "probability": 0.99169921875}, {"start": 1421.82, "end": 1422.12, "word": " واحد", "probability": 0.9736328125}, {"start": 1422.12, "end": 1422.52, "word": " هيكون", "probability": 0.75390625}, {"start": 1422.52, "end": 1422.7, "word": " أن", "probability": 0.7841796875}, {"start": 1422.7, "end": 1422.96, "word": " قص", "probability": 0.825439453125}, {"start": 1422.96, "end": 1423.46, "word": " بي", "probability": 0.99072265625}, {"start": 1423.46, "end": 1423.94, "word": " أكيد", "probability": 0.96484375}, {"start": 1423.94, "end": 1424.36, "word": " أصغر", "probability": 0.9832763671875}, {"start": 1424.36, "end": 1424.52, "word": " أو", "probability": 0.9306640625}, {"start": 1424.52, "end": 1424.88, "word": " يساوي", "probability": 0.9603271484375}, {"start": 1424.88, "end": 1425.06, "word": " من", "probability": 0.6943359375}, {"start": 1425.06, "end": 1425.68, "word": " أن", "probability": 0.3046875}, {"start": 1425.68, "end": 1426.48, "word": " الان", "probability": 0.5728759765625}, {"start": 1426.48, "end": 1427.08, "word": " مقلبه", "probability": 0.9049072265625}, {"start": 1427.08, "end": 1427.7, "word": " هينقلب", "probability": 0.82568359375}, {"start": 1427.7, "end": 1428.06, "word": " واحدة", "probability": 0.9261067708333334}, {"start": 1428.06, "end": 1428.26, "word": " لأن", "probability": 0.5869140625}, {"start": 1428.26, "end": 1428.42, "word": " بي", "probability": 0.992431640625}, {"start": 1428.42, "end": 1428.68, "word": " أكبر", "probability": 0.9532877604166666}, {"start": 1428.68, "end": 1428.78, "word": " أو", "probability": 0.8974609375}, {"start": 1428.78, "end": 1428.96, "word": " يساوي", "probability": 0.9554443359375}, {"start": 1428.96, "end": 1429.28, "word": " واحدة", "probability": 0.9910481770833334}, {"start": 1429.28, "end": 1429.58, "word": " لأن", "probability": 0.8642578125}, {"start": 1429.58, "end": 1430.14, "word": " الان", "probability": 0.820068359375}, {"start": 1430.14, "end": 1430.28, "word": " ال", "probability": 0.927734375}, {"start": 1430.28, "end": 1430.6, "word": " summation", "probability": 0.62890625}, {"start": 1430.6, "end": 1431.3, "word": " هذا", "probability": 0.88037109375}, {"start": 1431.3, "end": 1431.86, "word": " اللي", "probability": 0.960205078125}, {"start": 1431.86, "end": 1432.24, "word": " diverse", "probability": 0.291259765625}], "temperature": 1.0}, {"id": 66, "seek": 144950, "start": 1433.06, "end": 1449.5, "text": "إذا من باب أولى هيكون الكبير by comparison test diverse إذا ال summation واحد على N بيه diverse for بيه أصغر أو يساوي واحد وهذا الكلام سهل وانتوا بتعرفوه إذا نيجي لل summation واحد على N تربيع بدنا نشوف كيف هي إياش converse", "tokens": [28814, 15730, 9154, 4724, 16758, 5551, 12610, 7578, 39896, 30544, 33251, 3555, 13546, 538, 9660, 1500, 9521, 11933, 15730, 2423, 28811, 36764, 24401, 15844, 426, 4724, 1829, 3224, 9521, 337, 4724, 1829, 3224, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 36764, 24401, 37037, 15730, 2423, 28820, 10943, 8608, 3224, 1211, 4032, 7649, 2655, 14407, 39894, 3615, 28480, 2407, 3224, 11933, 15730, 8717, 1829, 7435, 1829, 24976, 28811, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 47525, 8315, 8717, 8592, 38688, 9122, 33911, 39896, 11933, 1829, 33599, 416, 4308], "avg_logprob": -0.24192994767492945, "compression_ratio": 1.6490384615384615, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1433.06, "end": 1433.28, "word": "إذا", "probability": 0.5799560546875}, {"start": 1433.28, "end": 1433.48, "word": " من", "probability": 0.76513671875}, {"start": 1433.48, "end": 1433.9, "word": " باب", "probability": 0.853759765625}, {"start": 1433.9, "end": 1434.38, "word": " أولى", "probability": 0.92041015625}, {"start": 1434.38, "end": 1434.8, "word": " هيكون", "probability": 0.7724609375}, {"start": 1434.8, "end": 1435.32, "word": " الكبير", "probability": 0.9108072916666666}, {"start": 1435.32, "end": 1435.5, "word": " by", "probability": 0.444091796875}, {"start": 1435.5, "end": 1436.0, "word": " comparison", "probability": 0.84375}, {"start": 1436.0, "end": 1436.46, "word": " test", "probability": 0.85009765625}, {"start": 1436.46, "end": 1437.26, "word": " diverse", "probability": 0.4794921875}, {"start": 1437.26, "end": 1437.88, "word": " إذا", "probability": 0.876708984375}, {"start": 1437.88, "end": 1438.0, "word": " ال", "probability": 0.416259765625}, {"start": 1438.0, "end": 1438.38, "word": " summation", "probability": 0.5771484375}, {"start": 1438.38, "end": 1438.86, "word": " واحد", "probability": 0.7880859375}, {"start": 1438.86, "end": 1438.98, "word": " على", "probability": 0.3369140625}, {"start": 1438.98, "end": 1439.14, "word": " N", "probability": 0.26416015625}, {"start": 1439.14, "end": 1439.34, "word": " بيه", "probability": 0.76123046875}, {"start": 1439.34, "end": 1439.76, "word": " diverse", "probability": 0.7685546875}, {"start": 1439.76, "end": 1440.06, "word": " for", "probability": 0.7548828125}, {"start": 1440.06, "end": 1440.28, "word": " بيه", "probability": 0.8430989583333334}, {"start": 1440.28, "end": 1440.58, "word": " أصغر", "probability": 0.98974609375}, {"start": 1440.58, "end": 1440.68, "word": " أو", "probability": 0.8818359375}, {"start": 1440.68, "end": 1441.02, "word": " يساوي", "probability": 0.8311767578125}, {"start": 1441.02, "end": 1441.4, "word": " واحد", "probability": 0.885009765625}, {"start": 1441.4, "end": 1441.98, "word": " وهذا", "probability": 0.716796875}, {"start": 1441.98, "end": 1442.36, "word": " الكلام", "probability": 0.97216796875}, {"start": 1442.36, "end": 1442.74, "word": " سهل", "probability": 0.9970703125}, {"start": 1442.74, "end": 1443.02, "word": " وانتوا", "probability": 0.7327880859375}, {"start": 1443.02, "end": 1444.1, "word": " بتعرفوه", "probability": 0.886279296875}, {"start": 1444.1, "end": 1444.32, "word": " إذا", "probability": 0.71435546875}, {"start": 1444.32, "end": 1444.74, "word": " نيجي", "probability": 0.71112060546875}, {"start": 1444.74, "end": 1444.86, "word": " لل", "probability": 0.861328125}, {"start": 1444.86, "end": 1445.28, "word": " summation", "probability": 0.90478515625}, {"start": 1445.28, "end": 1445.78, "word": " واحد", "probability": 0.950927734375}, {"start": 1445.78, "end": 1445.96, "word": " على", "probability": 0.85107421875}, {"start": 1445.96, "end": 1446.22, "word": " N", "probability": 0.93505859375}, {"start": 1446.22, "end": 1446.82, "word": " تربيع", "probability": 0.88330078125}, {"start": 1446.82, "end": 1447.22, "word": " بدنا", "probability": 0.76611328125}, {"start": 1447.22, "end": 1447.54, "word": " نشوف", "probability": 0.99658203125}, {"start": 1447.54, "end": 1447.84, "word": " كيف", "probability": 0.9365234375}, {"start": 1447.84, "end": 1448.06, "word": " هي", "probability": 0.9404296875}, {"start": 1448.06, "end": 1448.54, "word": " إياش", "probability": 0.7412109375}, {"start": 1448.54, "end": 1449.5, "word": " converse", "probability": 0.65576171875}], "temperature": 1.0}, {"id": 67, "seek": 147870, "start": 1449.96, "end": 1478.7, "text": "بدنا الآن نقارنها بـ Series إحنا أخدناها إنها ضعيفة Converse مين الـ Series اللي أخدناها الـ Converse اللي هي الـ Telescoping اللي هي Summation واحدة لـ N في N زائد واحد قلنا عنها دي إيش مالها أثبتناها المرة الماضية إنها Converse طيب، الآن هذه مدام هي هت Converge السيريز اللي عند السيريز هت Converge إذا by example اللي هو 918E هت Converge بدنا اللي هو نستخدم اللي هو الـ Comparison Test", "tokens": [3555, 3215, 8315, 6024, 48506, 8717, 4587, 9640, 1863, 11296, 4724, 39184, 13934, 11933, 5016, 8315, 5551, 9778, 3215, 8315, 11296, 36145, 11296, 48812, 3615, 33911, 3660, 2656, 4308, 3714, 9957, 2423, 39184, 13934, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 2423, 39184, 2656, 4308, 13672, 1829, 39896, 2423, 39184, 48595, 13084, 278, 13672, 1829, 39896, 8626, 76, 399, 36764, 24401, 3660, 5296, 39184, 426, 8978, 426, 30767, 16373, 3215, 36764, 24401, 12174, 1211, 8315, 18871, 11296, 11778, 1829, 11933, 1829, 8592, 3714, 6027, 11296, 5551, 12984, 3555, 2655, 8315, 11296, 9673, 25720, 9673, 46958, 10632, 36145, 11296, 2656, 4308, 23032, 1829, 3555, 12399, 6024, 48506, 29538, 3714, 3215, 10943, 39896, 8032, 2655, 2656, 331, 432, 21136, 13546, 1829, 11622, 13672, 1829, 43242, 21136, 13546, 1829, 11622, 8032, 2655, 2656, 331, 432, 11933, 15730, 538, 1365, 13672, 1829, 31439, 1722, 6494, 36, 8032, 2655, 2656, 331, 432, 47525, 8315, 13672, 1829, 31439, 8717, 14851, 9778, 40448, 13672, 1829, 31439, 2423, 39184, 2432, 2181, 2770, 9279], "avg_logprob": -0.24830572307109833, "compression_ratio": 2.0033557046979866, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1449.96, "end": 1450.4, "word": "بدنا", "probability": 0.633056640625}, {"start": 1450.4, "end": 1450.78, "word": " الآن", "probability": 0.65625}, {"start": 1450.78, "end": 1451.44, "word": " نقارنها", "probability": 0.901171875}, {"start": 1451.44, "end": 1451.66, "word": " بـ", "probability": 0.6605224609375}, {"start": 1451.66, "end": 1451.94, "word": " Series", "probability": 0.56689453125}, {"start": 1451.94, "end": 1452.18, "word": " إحنا", "probability": 0.7296956380208334}, {"start": 1452.18, "end": 1452.74, "word": " أخدناها", "probability": 0.96123046875}, {"start": 1452.74, "end": 1453.0, "word": " إنها", "probability": 0.791259765625}, {"start": 1453.0, "end": 1453.34, "word": " ضعيفة", "probability": 0.7769775390625}, {"start": 1453.34, "end": 1453.94, "word": " Converse", "probability": 0.3455810546875}, {"start": 1453.94, "end": 1454.62, "word": " مين", "probability": 0.6612548828125}, {"start": 1454.62, "end": 1454.8, "word": " الـ", "probability": 0.76171875}, {"start": 1454.8, "end": 1455.04, "word": " Series", "probability": 0.9111328125}, {"start": 1455.04, "end": 1455.18, "word": " اللي", "probability": 0.963134765625}, {"start": 1455.18, "end": 1455.62, "word": " أخدناها", "probability": 0.98017578125}, {"start": 1455.62, "end": 1455.76, "word": " الـ", "probability": 0.886962890625}, {"start": 1455.76, "end": 1456.22, "word": " Converse", "probability": 0.89013671875}, {"start": 1456.22, "end": 1456.44, "word": " اللي", "probability": 0.533782958984375}, {"start": 1456.44, "end": 1456.56, "word": " هي", "probability": 0.54541015625}, {"start": 1456.56, "end": 1456.68, "word": " الـ", "probability": 0.843994140625}, {"start": 1456.68, "end": 1457.42, "word": " Telescoping", "probability": 0.78369140625}, {"start": 1457.42, "end": 1457.94, "word": " اللي", "probability": 0.9267578125}, {"start": 1457.94, "end": 1458.1, "word": " هي", "probability": 0.830078125}, {"start": 1458.1, "end": 1458.66, "word": " Summation", "probability": 0.69281005859375}, {"start": 1458.66, "end": 1459.16, "word": " واحدة", "probability": 0.6902262369791666}, {"start": 1459.16, "end": 1459.32, "word": " لـ", "probability": 0.67822265625}, {"start": 1459.32, "end": 1459.4, "word": " N", "probability": 0.458740234375}, {"start": 1459.4, "end": 1459.58, "word": " في", "probability": 0.45361328125}, {"start": 1459.58, "end": 1459.72, "word": " N", "probability": 0.859375}, {"start": 1459.72, "end": 1460.04, "word": " زائد", "probability": 0.733154296875}, {"start": 1460.04, "end": 1460.44, "word": " واحد", "probability": 0.891357421875}, {"start": 1460.44, "end": 1461.12, "word": " قلنا", "probability": 0.7703450520833334}, {"start": 1461.12, "end": 1461.42, "word": " عنها", "probability": 0.958984375}, {"start": 1461.42, "end": 1461.62, "word": " دي", "probability": 0.7313232421875}, {"start": 1461.62, "end": 1461.78, "word": " إيش", "probability": 0.8444010416666666}, {"start": 1461.78, "end": 1462.24, "word": " مالها", "probability": 0.9137369791666666}, {"start": 1462.24, "end": 1462.88, "word": " أثبتناها", "probability": 0.9756673177083334}, {"start": 1462.88, "end": 1463.16, "word": " المرة", "probability": 0.9609375}, {"start": 1463.16, "end": 1463.48, "word": " الماضية", "probability": 0.9866536458333334}, {"start": 1463.48, "end": 1463.62, "word": " إنها", "probability": 0.7320556640625}, {"start": 1463.62, "end": 1464.22, "word": " Converse", "probability": 0.825927734375}, {"start": 1464.22, "end": 1465.1, "word": " طيب،", "probability": 0.9078369140625}, {"start": 1465.1, "end": 1465.42, "word": " الآن", "probability": 0.74609375}, {"start": 1465.42, "end": 1465.74, "word": " هذه", "probability": 0.496826171875}, {"start": 1465.74, "end": 1466.14, "word": " مدام", "probability": 0.7452799479166666}, {"start": 1466.14, "end": 1466.34, "word": " هي", "probability": 0.88134765625}, {"start": 1466.34, "end": 1466.54, "word": " هت", "probability": 0.4644775390625}, {"start": 1466.54, "end": 1467.18, "word": " Converge", "probability": 0.6368001302083334}, {"start": 1467.18, "end": 1467.9, "word": " السيريز", "probability": 0.7515869140625}, {"start": 1467.9, "end": 1468.44, "word": " اللي", "probability": 0.877685546875}, {"start": 1468.44, "end": 1468.64, "word": " عند", "probability": 0.91015625}, {"start": 1468.64, "end": 1469.04, "word": " السيريز", "probability": 0.9091796875}, {"start": 1469.04, "end": 1469.24, "word": " هت", "probability": 0.85009765625}, {"start": 1469.24, "end": 1469.94, "word": " Converge", "probability": 0.9484049479166666}, {"start": 1469.94, "end": 1470.66, "word": " إذا", "probability": 0.718017578125}, {"start": 1470.66, "end": 1471.22, "word": " by", "probability": 0.4658203125}, {"start": 1471.22, "end": 1471.98, "word": " example", "probability": 0.86962890625}, {"start": 1471.98, "end": 1472.28, "word": " اللي", "probability": 0.979736328125}, {"start": 1472.28, "end": 1472.46, "word": " هو", "probability": 0.9794921875}, {"start": 1472.46, "end": 1473.82, "word": " 918E", "probability": 0.6815592447916666}, {"start": 1473.82, "end": 1474.16, "word": " هت", "probability": 0.9306640625}, {"start": 1474.16, "end": 1474.82, "word": " Converge", "probability": 0.9334309895833334}, {"start": 1474.82, "end": 1475.64, "word": " بدنا", "probability": 0.9619140625}, {"start": 1475.64, "end": 1475.88, "word": " اللي", "probability": 0.9462890625}, {"start": 1475.88, "end": 1476.08, "word": " هو", "probability": 0.99560546875}, {"start": 1476.08, "end": 1476.84, "word": " نستخدم", "probability": 0.9925537109375}, {"start": 1476.84, "end": 1477.48, "word": " اللي", "probability": 0.968994140625}, {"start": 1477.48, "end": 1477.68, "word": " هو", "probability": 0.9951171875}, {"start": 1477.68, "end": 1477.84, "word": " الـ", "probability": 0.76416015625}, {"start": 1477.84, "end": 1478.28, "word": " Comparison", "probability": 0.9130859375}, {"start": 1478.28, "end": 1478.7, "word": " Test", "probability": 0.88037109375}], "temperature": 1.0}, {"id": 68, "seek": 150508, "start": 1479.04, "end": 1505.08, "text": "الان ماقدرش نستخدم ال direct ليش ماقدرش نستخدم ال direct لإنه الان ال summation اللي هو ال ال ال واحد على n في n زائد واحد اللي هي ال convergence هذه اللي هي أصغر أو يساوي واحد على مين على n تربيع فالان هذه convergence صح لكن اللي أكبر منها مش شرط انها تكون convergence وماقدرش نحكم ال comparison test إذا بدنا نستخدم ال limit comparison test", "tokens": [6027, 7649, 19446, 28543, 2288, 8592, 8717, 14851, 9778, 40448, 2423, 2047, 32239, 8592, 19446, 28543, 2288, 8592, 8717, 14851, 9778, 40448, 2423, 2047, 5296, 28814, 1863, 3224, 2423, 7649, 2423, 28811, 13672, 1829, 31439, 2423, 2423, 2423, 36764, 24401, 15844, 297, 8978, 297, 30767, 16373, 3215, 36764, 24401, 13672, 1829, 39896, 2423, 32181, 29538, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 36764, 24401, 15844, 3714, 9957, 15844, 297, 6055, 2288, 21292, 3615, 6156, 6027, 7649, 29538, 32181, 20328, 5016, 44381, 13672, 1829, 5551, 4117, 26890, 9154, 11296, 37893, 13412, 2288, 9566, 16472, 11296, 6055, 30544, 32181, 4032, 15042, 28543, 2288, 8592, 8717, 5016, 24793, 2423, 9660, 1500, 11933, 15730, 47525, 8315, 8717, 14851, 9778, 40448, 2423, 4948, 9660, 1500], "avg_logprob": -0.19072420481178495, "compression_ratio": 2.054474708171206, "no_speech_prob": 0.0, "words": [{"start": 1479.04, "end": 1479.32, "word": "الان", "probability": 0.710205078125}, {"start": 1479.32, "end": 1479.78, "word": " ماقدرش", "probability": 0.7626953125}, {"start": 1479.78, "end": 1480.34, "word": " نستخدم", "probability": 0.984375}, {"start": 1480.34, "end": 1480.48, "word": " ال", "probability": 0.96826171875}, {"start": 1480.48, "end": 1480.84, "word": " direct", "probability": 0.269287109375}, {"start": 1480.84, "end": 1481.18, "word": " ليش", "probability": 0.667724609375}, {"start": 1481.18, "end": 1481.6, "word": " ماقدرش", "probability": 0.9072265625}, {"start": 1481.6, "end": 1482.08, "word": " نستخدم", "probability": 0.9942626953125}, {"start": 1482.08, "end": 1482.22, "word": " ال", "probability": 0.96630859375}, {"start": 1482.22, "end": 1482.72, "word": " direct", "probability": 0.93212890625}, {"start": 1482.72, "end": 1483.88, "word": " لإنه", "probability": 0.723876953125}, {"start": 1483.88, "end": 1484.38, "word": " الان", "probability": 0.6572265625}, {"start": 1484.38, "end": 1484.62, "word": " ال", "probability": 0.80078125}, {"start": 1484.62, "end": 1485.28, "word": " summation", "probability": 0.86572265625}, {"start": 1485.28, "end": 1486.32, "word": " اللي", "probability": 0.865966796875}, {"start": 1486.32, "end": 1486.32, "word": " هو", "probability": 0.98291015625}, {"start": 1486.32, "end": 1486.58, "word": " ال", "probability": 0.96337890625}, {"start": 1486.58, "end": 1486.88, "word": " ال", "probability": 0.4853515625}, {"start": 1486.88, "end": 1487.12, "word": " ال", "probability": 0.8056640625}, {"start": 1487.12, "end": 1487.68, "word": " واحد", "probability": 0.9248046875}, {"start": 1487.68, "end": 1488.4, "word": " على", "probability": 0.75439453125}, {"start": 1488.4, "end": 1488.74, "word": " n", "probability": 0.4501953125}, {"start": 1488.74, "end": 1489.06, "word": " في", "probability": 0.299560546875}, {"start": 1489.06, "end": 1489.32, "word": " n", "probability": 0.87060546875}, {"start": 1489.32, "end": 1489.78, "word": " زائد", "probability": 0.89111328125}, {"start": 1489.78, "end": 1490.2, "word": " واحد", "probability": 0.94482421875}, {"start": 1490.2, "end": 1490.32, "word": " اللي", "probability": 0.961669921875}, {"start": 1490.32, "end": 1490.44, "word": " هي", "probability": 0.6884765625}, {"start": 1490.44, "end": 1490.56, "word": " ال", "probability": 0.9912109375}, {"start": 1490.56, "end": 1491.06, "word": " convergence", "probability": 0.287109375}, {"start": 1491.06, "end": 1491.5, "word": " هذه", "probability": 0.476318359375}, {"start": 1491.5, "end": 1492.14, "word": " اللي", "probability": 0.978515625}, {"start": 1492.14, "end": 1492.3, "word": " هي", "probability": 0.8994140625}, {"start": 1492.3, "end": 1492.78, "word": " أصغر", "probability": 0.9429931640625}, {"start": 1492.78, "end": 1492.92, "word": " أو", "probability": 0.80859375}, {"start": 1492.92, "end": 1493.34, "word": " يساوي", "probability": 0.9449462890625}, {"start": 1493.34, "end": 1493.68, "word": " واحد", "probability": 0.96630859375}, {"start": 1493.68, "end": 1493.88, "word": " على", "probability": 0.7685546875}, {"start": 1493.88, "end": 1494.32, "word": " مين", "probability": 0.96630859375}, {"start": 1494.32, "end": 1494.6, "word": " على", "probability": 0.853515625}, {"start": 1494.6, "end": 1494.8, "word": " n", "probability": 0.78662109375}, {"start": 1494.8, "end": 1495.38, "word": " تربيع", "probability": 0.853759765625}, {"start": 1495.38, "end": 1496.16, "word": " فالان", "probability": 0.9197591145833334}, {"start": 1496.16, "end": 1496.52, "word": " هذه", "probability": 0.6162109375}, {"start": 1496.52, "end": 1497.04, "word": " convergence", "probability": 0.85205078125}, {"start": 1497.04, "end": 1497.36, "word": " صح", "probability": 0.99169921875}, {"start": 1497.36, "end": 1497.66, "word": " لكن", "probability": 0.82568359375}, {"start": 1497.66, "end": 1497.8, "word": " اللي", "probability": 0.6871337890625}, {"start": 1497.8, "end": 1498.08, "word": " أكبر", "probability": 0.9513346354166666}, {"start": 1498.08, "end": 1498.34, "word": " منها", "probability": 0.975830078125}, {"start": 1498.34, "end": 1498.58, "word": " مش", "probability": 0.9736328125}, {"start": 1498.58, "end": 1498.86, "word": " شرط", "probability": 0.9910481770833334}, {"start": 1498.86, "end": 1499.04, "word": " انها", "probability": 0.7088623046875}, {"start": 1499.04, "end": 1499.2, "word": " تكون", "probability": 0.98974609375}, {"start": 1499.2, "end": 1499.66, "word": " convergence", "probability": 0.53955078125}, {"start": 1499.66, "end": 1500.12, "word": " وماقدرش", "probability": 0.7982421875}, {"start": 1500.12, "end": 1501.02, "word": " نحكم", "probability": 0.7991536458333334}, {"start": 1501.02, "end": 1501.2, "word": " ال", "probability": 0.91259765625}, {"start": 1501.2, "end": 1501.66, "word": " comparison", "probability": 0.93701171875}, {"start": 1501.66, "end": 1502.22, "word": " test", "probability": 0.9443359375}, {"start": 1502.22, "end": 1502.78, "word": " إذا", "probability": 0.697998046875}, {"start": 1502.78, "end": 1503.12, "word": " بدنا", "probability": 0.86376953125}, {"start": 1503.12, "end": 1503.68, "word": " نستخدم", "probability": 0.996337890625}, {"start": 1503.68, "end": 1503.84, "word": " ال", "probability": 0.84423828125}, {"start": 1503.84, "end": 1504.08, "word": " limit", "probability": 0.96533203125}, {"start": 1504.08, "end": 1504.58, "word": " comparison", "probability": 0.888671875}, {"start": 1504.58, "end": 1505.08, "word": " test", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 69, "seek": 152600, "start": 1505.2, "end": 1526.0, "text": "خد ال limit اللي هي 1 على n فان زائد 1 على 1 على n تربيع بيصير limit عبارة عن n على n زائد 1 مع الاختصارات اللي هو طبعا هذا ال limit اللي هي as n goes to infinity هذي بيصير 1 على 1 زائد 1 على n هذي بتروح للسفر و بتظلها 1 و ال 1 أكيد مش سفر ما زي ما يطلع عند ال limit لأ اللي هو ال .. ال .. ال .. ال ..", "tokens": [9778, 3215, 2423, 4948, 13672, 1829, 39896, 502, 15844, 297, 6156, 7649, 30767, 16373, 3215, 502, 15844, 502, 15844, 297, 6055, 2288, 21292, 3615, 4724, 1829, 9381, 13546, 4948, 6225, 3555, 9640, 3660, 18871, 297, 15844, 297, 30767, 16373, 3215, 502, 20449, 2423, 47283, 2655, 9381, 9640, 9307, 13672, 1829, 31439, 23032, 3555, 3615, 995, 23758, 2423, 4948, 13672, 1829, 39896, 382, 297, 1709, 281, 13202, 8032, 8848, 1829, 4724, 1829, 9381, 13546, 502, 15844, 502, 30767, 16373, 3215, 502, 15844, 297, 8032, 8848, 1829, 39894, 32887, 5016, 24976, 3794, 5172, 2288, 4032, 39894, 19913, 1211, 11296, 502, 4032, 2423, 502, 5551, 4117, 25708, 37893, 8608, 5172, 2288, 19446, 30767, 1829, 19446, 7251, 9566, 1211, 3615, 43242, 2423, 4948, 5296, 10721, 13672, 1829, 31439, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386], "avg_logprob": -0.2640977587018694, "compression_ratio": 2.085201793721973, "no_speech_prob": 4.89354133605957e-05, "words": [{"start": 1505.2, "end": 1505.68, "word": "خد", "probability": 0.5450439453125}, {"start": 1505.68, "end": 1505.8, "word": " ال", "probability": 0.48388671875}, {"start": 1505.8, "end": 1506.06, "word": " limit", "probability": 0.74853515625}, {"start": 1506.06, "end": 1506.24, "word": " اللي", "probability": 0.44921875}, {"start": 1506.24, "end": 1506.42, "word": " هي", "probability": 0.84814453125}, {"start": 1506.42, "end": 1506.76, "word": " 1", "probability": 0.6171875}, {"start": 1506.76, "end": 1506.96, "word": " على", "probability": 0.65771484375}, {"start": 1506.96, "end": 1507.16, "word": " n", "probability": 0.427734375}, {"start": 1507.16, "end": 1507.38, "word": " فان", "probability": 0.5220947265625}, {"start": 1507.38, "end": 1507.68, "word": " زائد", "probability": 0.7919921875}, {"start": 1507.68, "end": 1507.9, "word": " 1", "probability": 0.81298828125}, {"start": 1507.9, "end": 1508.06, "word": " على", "probability": 0.82373046875}, {"start": 1508.06, "end": 1508.26, "word": " 1", "probability": 0.80126953125}, {"start": 1508.26, "end": 1508.46, "word": " على", "probability": 0.91357421875}, {"start": 1508.46, "end": 1508.58, "word": " n", "probability": 0.66064453125}, {"start": 1508.58, "end": 1509.16, "word": " تربيع", "probability": 0.8975830078125}, {"start": 1509.16, "end": 1509.88, "word": " بيصير", "probability": 0.784423828125}, {"start": 1509.88, "end": 1510.18, "word": " limit", "probability": 0.97216796875}, {"start": 1510.18, "end": 1510.58, "word": " عبارة", "probability": 0.9925537109375}, {"start": 1510.58, "end": 1510.78, "word": " عن", "probability": 0.99267578125}, {"start": 1510.78, "end": 1511.04, "word": " n", "probability": 0.6474609375}, {"start": 1511.04, "end": 1511.24, "word": " على", "probability": 0.86181640625}, {"start": 1511.24, "end": 1511.54, "word": " n", "probability": 0.95166015625}, {"start": 1511.54, "end": 1511.92, "word": " زائد", "probability": 0.9430338541666666}, {"start": 1511.92, "end": 1512.14, "word": " 1", "probability": 0.93603515625}, {"start": 1512.14, "end": 1512.32, "word": " مع", "probability": 0.974609375}, {"start": 1512.32, "end": 1513.16, "word": " الاختصارات", "probability": 0.8814290364583334}, {"start": 1513.16, "end": 1513.82, "word": " اللي", "probability": 0.952392578125}, {"start": 1513.82, "end": 1514.04, "word": " هو", "probability": 0.95947265625}, {"start": 1514.04, "end": 1514.36, "word": " طبعا", "probability": 0.9481201171875}, {"start": 1514.36, "end": 1514.54, "word": " هذا", "probability": 0.8427734375}, {"start": 1514.54, "end": 1514.68, "word": " ال", "probability": 0.78564453125}, {"start": 1514.68, "end": 1514.88, "word": " limit", "probability": 0.95654296875}, {"start": 1514.88, "end": 1515.04, "word": " اللي", "probability": 0.735595703125}, {"start": 1515.04, "end": 1515.12, "word": " هي", "probability": 0.1939697265625}, {"start": 1515.12, "end": 1515.3, "word": " as", "probability": 0.888671875}, {"start": 1515.3, "end": 1515.42, "word": " n", "probability": 0.931640625}, {"start": 1515.42, "end": 1515.62, "word": " goes", "probability": 0.94140625}, {"start": 1515.62, "end": 1515.76, "word": " to", "probability": 0.91796875}, {"start": 1515.76, "end": 1516.16, "word": " infinity", "probability": 0.8720703125}, {"start": 1516.16, "end": 1516.76, "word": " هذي", "probability": 0.5535481770833334}, {"start": 1516.76, "end": 1517.06, "word": " بيصير", "probability": 0.975830078125}, {"start": 1517.06, "end": 1517.36, "word": " 1", "probability": 0.9150390625}, {"start": 1517.36, "end": 1517.6, "word": " على", "probability": 0.90966796875}, {"start": 1517.6, "end": 1517.9, "word": " 1", "probability": 0.98583984375}, {"start": 1517.9, "end": 1518.24, "word": " زائد", "probability": 0.9630533854166666}, {"start": 1518.24, "end": 1518.48, "word": " 1", "probability": 0.98779296875}, {"start": 1518.48, "end": 1518.62, "word": " على", "probability": 0.89111328125}, {"start": 1518.62, "end": 1518.76, "word": " n", "probability": 0.927734375}, {"start": 1518.76, "end": 1518.9, "word": " هذي", "probability": 0.5572916666666666}, {"start": 1518.9, "end": 1519.18, "word": " بتروح", "probability": 0.9228515625}, {"start": 1519.18, "end": 1519.52, "word": " للسفر", "probability": 0.707000732421875}, {"start": 1519.52, "end": 1519.64, "word": " و", "probability": 0.3564453125}, {"start": 1519.64, "end": 1519.92, "word": " بتظلها", "probability": 0.6273193359375}, {"start": 1519.92, "end": 1520.26, "word": " 1", "probability": 0.65625}, {"start": 1520.26, "end": 1520.7, "word": " و", "probability": 0.51806640625}, {"start": 1520.7, "end": 1520.82, "word": " ال", "probability": 0.85546875}, {"start": 1520.82, "end": 1521.02, "word": " 1", "probability": 0.72265625}, {"start": 1521.02, "end": 1521.38, "word": " أكيد", "probability": 0.8819986979166666}, {"start": 1521.38, "end": 1521.56, "word": " مش", "probability": 0.98974609375}, {"start": 1521.56, "end": 1521.9, "word": " سفر", "probability": 0.9641927083333334}, {"start": 1521.9, "end": 1522.04, "word": " ما", "probability": 0.1966552734375}, {"start": 1522.04, "end": 1522.12, "word": " زي", "probability": 0.735107421875}, {"start": 1522.12, "end": 1522.2, "word": " ما", "probability": 0.9326171875}, {"start": 1522.2, "end": 1522.54, "word": " يطلع", "probability": 0.7852783203125}, {"start": 1522.54, "end": 1522.76, "word": " عند", "probability": 0.93359375}, {"start": 1522.76, "end": 1522.9, "word": " ال", "probability": 0.8408203125}, {"start": 1522.9, "end": 1523.22, "word": " limit", "probability": 0.97998046875}, {"start": 1523.22, "end": 1523.98, "word": " لأ", "probability": 0.716064453125}, {"start": 1523.98, "end": 1524.14, "word": " اللي", "probability": 0.985595703125}, {"start": 1524.14, "end": 1524.48, "word": " هو", "probability": 0.9765625}, {"start": 1524.48, "end": 1524.9, "word": " ال", "probability": 0.6796875}, {"start": 1524.9, "end": 1525.02, "word": " ..", "probability": 0.55712890625}, {"start": 1525.02, "end": 1525.24, "word": " ال", "probability": 0.90625}, {"start": 1525.24, "end": 1525.3, "word": " ..", "probability": 0.98095703125}, {"start": 1525.3, "end": 1525.58, "word": " ال", "probability": 0.95263671875}, {"start": 1525.58, "end": 1525.58, "word": " ..", "probability": 0.986328125}, {"start": 1525.58, "end": 1525.84, "word": " ال", "probability": 0.91259765625}, {"start": 1525.84, "end": 1526.0, "word": " ..", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 70, "seek": 155307, "start": 1526.09, "end": 1553.07, "text": "الـ .. ال .. ال .. ال limit لـ ال .. ال .. ال comparison test أو اللي هي ال two series هذول اللي على بعض ال XN على ال YN بساوي رقم إذا التنتين converged أو التنتين diverged وبناء على الحديث إنه بما إنه هذه اللي هي ال telescope كانت converged إذا الواحد على N تربيع أو صمشي للواحد على N تربيع is convergent طيب هذا كلام كله انتوا طبعا بتاخدوه في ال ..", "tokens": [6027, 39184, 4386, 2423, 4386, 2423, 4386, 2423, 4948, 5296, 39184, 2423, 4386, 2423, 4386, 2423, 9660, 1500, 34051, 13672, 1829, 39896, 2423, 732, 2638, 8032, 8848, 12610, 13672, 1829, 15844, 45030, 11242, 2423, 1783, 45, 15844, 2423, 398, 45, 4724, 3794, 995, 45865, 12602, 4587, 2304, 11933, 15730, 2423, 2655, 29399, 9957, 9652, 3004, 34051, 16712, 29399, 9957, 18558, 3004, 46599, 1863, 16606, 15844, 21542, 16254, 12984, 36145, 3224, 4724, 15042, 36145, 3224, 29538, 13672, 1829, 39896, 2423, 26114, 25961, 2655, 9652, 3004, 11933, 15730, 2423, 14407, 24401, 15844, 426, 6055, 2288, 21292, 3615, 34051, 20328, 2304, 8592, 1829, 24976, 14407, 24401, 15844, 426, 6055, 2288, 21292, 3615, 307, 9652, 6930, 23032, 1829, 3555, 23758, 28242, 10943, 28242, 3224, 16472, 2655, 14407, 23032, 3555, 3615, 995, 39894, 47283, 3215, 2407, 3224, 8978, 2423, 4386], "avg_logprob": -0.24908088476342313, "compression_ratio": 1.9595588235294117, "no_speech_prob": 5.900859832763672e-06, "words": [{"start": 1526.09, "end": 1527.01, "word": "الـ", "probability": 0.496826171875}, {"start": 1527.01, "end": 1527.01, "word": " ..", "probability": 0.482177734375}, {"start": 1527.01, "end": 1527.43, "word": " ال", "probability": 0.91552734375}, {"start": 1527.43, "end": 1527.43, "word": " ..", "probability": 0.7587890625}, {"start": 1527.43, "end": 1527.99, "word": " ال", "probability": 0.91943359375}, {"start": 1527.99, "end": 1527.99, "word": " ..", "probability": 0.79150390625}, {"start": 1527.99, "end": 1528.31, "word": " ال", "probability": 0.6240234375}, {"start": 1528.31, "end": 1528.53, "word": " limit", "probability": 0.34375}, {"start": 1528.53, "end": 1528.87, "word": " لـ", "probability": 0.5830078125}, {"start": 1528.87, "end": 1529.11, "word": " ال", "probability": 0.8759765625}, {"start": 1529.11, "end": 1529.13, "word": " ..", "probability": 0.876953125}, {"start": 1529.13, "end": 1529.47, "word": " ال", "probability": 0.9873046875}, {"start": 1529.47, "end": 1529.57, "word": " ..", "probability": 0.369384765625}, {"start": 1529.57, "end": 1529.57, "word": " ال", "probability": 0.93359375}, {"start": 1529.57, "end": 1529.83, "word": " comparison", "probability": 0.77294921875}, {"start": 1529.83, "end": 1530.29, "word": " test", "probability": 0.88916015625}, {"start": 1530.29, "end": 1530.49, "word": " أو", "probability": 0.85107421875}, {"start": 1530.49, "end": 1530.63, "word": " اللي", "probability": 0.927490234375}, {"start": 1530.63, "end": 1530.87, "word": " هي", "probability": 0.90869140625}, {"start": 1530.87, "end": 1531.37, "word": " ال", "probability": 0.98291015625}, {"start": 1531.37, "end": 1531.51, "word": " two", "probability": 0.434814453125}, {"start": 1531.51, "end": 1531.89, "word": " series", "probability": 0.87451171875}, {"start": 1531.89, "end": 1532.19, "word": " هذول", "probability": 0.83203125}, {"start": 1532.19, "end": 1532.35, "word": " اللي", "probability": 0.925537109375}, {"start": 1532.35, "end": 1532.53, "word": " على", "probability": 0.88916015625}, {"start": 1532.53, "end": 1532.85, "word": " بعض", "probability": 0.994140625}, {"start": 1532.85, "end": 1532.97, "word": " ال", "probability": 0.9384765625}, {"start": 1532.97, "end": 1533.31, "word": " XN", "probability": 0.4967041015625}, {"start": 1533.31, "end": 1533.49, "word": " على", "probability": 0.73876953125}, {"start": 1533.49, "end": 1533.63, "word": " ال", "probability": 0.919921875}, {"start": 1533.63, "end": 1533.99, "word": " YN", "probability": 0.956787109375}, {"start": 1533.99, "end": 1534.53, "word": " بساوي", "probability": 0.8128662109375}, {"start": 1534.53, "end": 1535.37, "word": " رقم", "probability": 0.9952799479166666}, {"start": 1535.37, "end": 1536.01, "word": " إذا", "probability": 0.63525390625}, {"start": 1536.01, "end": 1536.57, "word": " التنتين", "probability": 0.6590576171875}, {"start": 1536.57, "end": 1537.09, "word": " converged", "probability": 0.74755859375}, {"start": 1537.09, "end": 1537.23, "word": " أو", "probability": 0.7919921875}, {"start": 1537.23, "end": 1537.61, "word": " التنتين", "probability": 0.9357096354166666}, {"start": 1537.61, "end": 1538.11, "word": " diverged", "probability": 0.80224609375}, {"start": 1538.11, "end": 1538.69, "word": " وبناء", "probability": 0.8271484375}, {"start": 1538.69, "end": 1538.93, "word": " على", "probability": 0.77001953125}, {"start": 1538.93, "end": 1539.51, "word": " الحديث", "probability": 0.9759114583333334}, {"start": 1539.51, "end": 1540.25, "word": " إنه", "probability": 0.6561279296875}, {"start": 1540.25, "end": 1540.53, "word": " بما", "probability": 0.9765625}, {"start": 1540.53, "end": 1540.83, "word": " إنه", "probability": 0.5670166015625}, {"start": 1540.83, "end": 1541.19, "word": " هذه", "probability": 0.755859375}, {"start": 1541.19, "end": 1541.41, "word": " اللي", "probability": 0.97216796875}, {"start": 1541.41, "end": 1541.55, "word": " هي", "probability": 0.94287109375}, {"start": 1541.55, "end": 1541.63, "word": " ال", "probability": 0.437255859375}, {"start": 1541.63, "end": 1541.99, "word": " telescope", "probability": 0.392822265625}, {"start": 1541.99, "end": 1542.57, "word": " كانت", "probability": 0.80615234375}, {"start": 1542.57, "end": 1543.01, "word": " converged", "probability": 0.9482421875}, {"start": 1543.01, "end": 1543.23, "word": " إذا", "probability": 0.939208984375}, {"start": 1543.23, "end": 1543.69, "word": " الواحد", "probability": 0.9122721354166666}, {"start": 1543.69, "end": 1544.47, "word": " على", "probability": 0.953125}, {"start": 1544.47, "end": 1544.75, "word": " N", "probability": 0.251708984375}, {"start": 1544.75, "end": 1545.09, "word": " تربيع", "probability": 0.8543701171875}, {"start": 1545.09, "end": 1545.23, "word": " أو", "probability": 0.970703125}, {"start": 1545.23, "end": 1545.69, "word": " صمشي", "probability": 0.60955810546875}, {"start": 1545.69, "end": 1546.05, "word": " للواحد", "probability": 0.9070638020833334}, {"start": 1546.05, "end": 1546.17, "word": " على", "probability": 0.93310546875}, {"start": 1546.17, "end": 1546.35, "word": " N", "probability": 0.9462890625}, {"start": 1546.35, "end": 1546.87, "word": " تربيع", "probability": 0.94921875}, {"start": 1546.87, "end": 1547.29, "word": " is", "probability": 0.9130859375}, {"start": 1547.29, "end": 1548.31, "word": " convergent", "probability": 0.975830078125}, {"start": 1548.31, "end": 1549.91, "word": " طيب", "probability": 0.9510091145833334}, {"start": 1549.91, "end": 1550.53, "word": " هذا", "probability": 0.64208984375}, {"start": 1550.53, "end": 1550.89, "word": " كلام", "probability": 0.6282958984375}, {"start": 1550.89, "end": 1551.21, "word": " كله", "probability": 0.84033203125}, {"start": 1551.21, "end": 1551.51, "word": " انتوا", "probability": 0.65380859375}, {"start": 1551.51, "end": 1551.89, "word": " طبعا", "probability": 0.964599609375}, {"start": 1551.89, "end": 1552.61, "word": " بتاخدوه", "probability": 0.86982421875}, {"start": 1552.61, "end": 1552.71, "word": " في", "probability": 0.9619140625}, {"start": 1552.71, "end": 1552.91, "word": " ال", "probability": 0.94189453125}, {"start": 1552.91, "end": 1553.07, "word": " ..", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 71, "seek": 157279, "start": 1554.79, "end": 1572.79, "text": "هو أخدته كثير منه في ال calculus ولكن احنا عشان يكتمل الموضوع بدنا ناخد أمثلة على اللي برهنناهم اللي هان show that summation 1 على n بي converts for b يشمل أكبر أو يساوي واحد بي أكبر أو يساوي أسف أكبر من واحد strictly", "tokens": [3224, 2407, 5551, 9778, 3215, 47395, 9122, 12984, 13546, 9154, 3224, 8978, 2423, 33400, 35525, 19452, 1975, 5016, 8315, 6225, 8592, 7649, 7251, 4117, 39237, 1211, 9673, 2407, 11242, 45367, 47525, 8315, 8717, 47283, 3215, 5551, 2304, 12984, 37977, 15844, 13672, 1829, 4724, 2288, 3224, 1863, 8315, 16095, 13672, 1829, 8032, 7649, 855, 300, 28811, 502, 15844, 297, 4724, 1829, 38874, 337, 272, 7251, 8592, 42213, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 36764, 24401, 4724, 1829, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 5551, 3794, 5172, 5551, 4117, 26890, 9154, 36764, 24401, 20792], "avg_logprob": -0.22148840697770267, "compression_ratio": 1.5707762557077625, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 1554.79, "end": 1555.11, "word": "هو", "probability": 0.6668701171875}, {"start": 1555.11, "end": 1555.57, "word": " أخدته", "probability": 0.904052734375}, {"start": 1555.57, "end": 1556.03, "word": " كثير", "probability": 0.8883463541666666}, {"start": 1556.03, "end": 1556.27, "word": " منه", "probability": 0.9560546875}, {"start": 1556.27, "end": 1556.39, "word": " في", "probability": 0.93017578125}, {"start": 1556.39, "end": 1556.49, "word": " ال", "probability": 0.9423828125}, {"start": 1556.49, "end": 1556.81, "word": " calculus", "probability": 0.421142578125}, {"start": 1556.81, "end": 1557.33, "word": " ولكن", "probability": 0.84814453125}, {"start": 1557.33, "end": 1557.57, "word": " احنا", "probability": 0.81787109375}, {"start": 1557.57, "end": 1557.87, "word": " عشان", "probability": 0.95458984375}, {"start": 1557.87, "end": 1558.29, "word": " يكتمل", "probability": 0.80242919921875}, {"start": 1558.29, "end": 1558.83, "word": " الموضوع", "probability": 0.9951171875}, {"start": 1558.83, "end": 1559.25, "word": " بدنا", "probability": 0.747314453125}, {"start": 1559.25, "end": 1559.65, "word": " ناخد", "probability": 0.9537760416666666}, {"start": 1559.65, "end": 1560.09, "word": " أمثلة", "probability": 0.9532470703125}, {"start": 1560.09, "end": 1560.37, "word": " على", "probability": 0.765625}, {"start": 1560.37, "end": 1560.99, "word": " اللي", "probability": 0.83447265625}, {"start": 1560.99, "end": 1561.77, "word": " برهنناهم", "probability": 0.7686360677083334}, {"start": 1561.77, "end": 1562.37, "word": " اللي", "probability": 0.6092529296875}, {"start": 1562.37, "end": 1562.49, "word": " هان", "probability": 0.5826416015625}, {"start": 1562.49, "end": 1562.77, "word": " show", "probability": 0.61376953125}, {"start": 1562.77, "end": 1563.17, "word": " that", "probability": 0.8271484375}, {"start": 1563.17, "end": 1563.83, "word": " summation", "probability": 0.55810546875}, {"start": 1563.83, "end": 1564.11, "word": " 1", "probability": 0.6142578125}, {"start": 1564.11, "end": 1564.35, "word": " على", "probability": 0.473876953125}, {"start": 1564.35, "end": 1564.59, "word": " n", "probability": 0.3916015625}, {"start": 1564.59, "end": 1564.95, "word": " بي", "probability": 0.72216796875}, {"start": 1564.95, "end": 1565.65, "word": " converts", "probability": 0.378173828125}, {"start": 1565.65, "end": 1566.45, "word": " for", "probability": 0.80419921875}, {"start": 1566.45, "end": 1566.79, "word": " b", "probability": 0.38671875}, {"start": 1566.79, "end": 1567.39, "word": " يشمل", "probability": 0.9518229166666666}, {"start": 1567.39, "end": 1568.19, "word": " أكبر", "probability": 0.8199869791666666}, {"start": 1568.19, "end": 1568.39, "word": " أو", "probability": 0.7451171875}, {"start": 1568.39, "end": 1568.89, "word": " يساوي", "probability": 0.9622802734375}, {"start": 1568.89, "end": 1569.29, "word": " واحد", "probability": 0.827392578125}, {"start": 1569.29, "end": 1569.59, "word": " بي", "probability": 0.72216796875}, {"start": 1569.59, "end": 1569.87, "word": " أكبر", "probability": 0.9607747395833334}, {"start": 1569.87, "end": 1570.01, "word": " أو", "probability": 0.87255859375}, {"start": 1570.01, "end": 1570.89, "word": " يساوي", "probability": 0.976318359375}, {"start": 1570.89, "end": 1571.71, "word": " أسف", "probability": 0.8302408854166666}, {"start": 1571.71, "end": 1572.03, "word": " أكبر", "probability": 0.9397786458333334}, {"start": 1572.03, "end": 1572.13, "word": " من", "probability": 0.9833984375}, {"start": 1572.13, "end": 1572.37, "word": " واحد", "probability": 0.988037109375}, {"start": 1572.37, "end": 1572.79, "word": " strictly", "probability": 0.83447265625}], "temperature": 1.0}, {"id": 72, "seek": 159669, "start": 1574.01, "end": 1596.69, "text": "P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر أو P أكبر", "tokens": [47, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890, 34051, 430, 5551, 4117, 26890], "avg_logprob": -0.11805555767483182, "compression_ratio": 23.8, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1574.0100000000002, "end": 1574.3700000000001, "word": "P", "probability": 0.08245849609375}, {"start": 1574.3700000000001, "end": 1574.73, "word": " أكبر", "probability": 0.7513834635416666}, {"start": 1574.73, "end": 1574.87, "word": " أو", "probability": 0.73291015625}, {"start": 1574.87, "end": 1574.93, "word": " P", "probability": 0.548828125}, {"start": 1574.93, "end": 1574.93, "word": " أكبر", "probability": 0.6895345052083334}, {"start": 1574.93, "end": 1574.93, "word": " أو", "probability": 0.6357421875}, {"start": 1574.93, "end": 1574.99, "word": " P", "probability": 0.806640625}, {"start": 1574.99, "end": 1574.99, "word": " أكبر", "probability": 0.7909342447916666}, {"start": 1574.99, "end": 1574.99, "word": " أو", "probability": 0.69189453125}, {"start": 1574.99, "end": 1575.01, "word": " P", "probability": 0.806640625}, {"start": 1575.01, "end": 1575.27, "word": " أكبر", "probability": 0.9290364583333334}, {"start": 1575.27, "end": 1575.27, "word": " أو", "probability": 0.65185546875}, {"start": 1575.27, "end": 1575.27, "word": " P", "probability": 0.76123046875}, {"start": 1575.27, "end": 1575.27, "word": " أكبر", "probability": 0.94873046875}, {"start": 1575.27, "end": 1575.39, "word": " أو", "probability": 0.398193359375}, {"start": 1575.39, "end": 1575.39, "word": " P", "probability": 0.59521484375}, {"start": 1575.39, "end": 1575.39, "word": " أكبر", "probability": 0.9547526041666666}, {"start": 1575.39, "end": 1575.51, "word": " أو", "probability": 0.284912109375}, {"start": 1575.51, "end": 1575.59, "word": " P", "probability": 0.47412109375}, {"start": 1575.59, "end": 1575.59, "word": " أكبر", "probability": 0.9514973958333334}, {"start": 1575.59, "end": 1575.59, "word": " أو", "probability": 0.2978515625}, {"start": 1575.59, "end": 1575.63, "word": " P", "probability": 0.494140625}, {"start": 1575.63, "end": 1575.77, "word": " أكبر", "probability": 0.9456380208333334}, {"start": 1575.77, "end": 1575.91, "word": " أو", "probability": 0.353271484375}, {"start": 1575.91, "end": 1575.91, "word": " P", "probability": 0.58935546875}, {"start": 1575.91, "end": 1576.03, "word": " أكبر", "probability": 0.9482421875}, {"start": 1576.03, "end": 1576.85, "word": " أو", "probability": 0.43212890625}, {"start": 1576.85, "end": 1576.85, "word": " P", "probability": 0.7099609375}, {"start": 1576.85, "end": 1578.51, "word": " أكبر", "probability": 0.9578450520833334}, {"start": 1578.51, "end": 1578.73, "word": " أو", "probability": 0.49169921875}, {"start": 1578.73, "end": 1578.73, "word": " P", "probability": 0.80712890625}, {"start": 1578.73, "end": 1579.75, "word": " أكبر", "probability": 0.96728515625}, {"start": 1579.75, "end": 1579.77, "word": " أو", "probability": 0.544921875}, {"start": 1579.77, "end": 1579.79, "word": " P", "probability": 0.8671875}, {"start": 1579.79, "end": 1580.79, "word": " أكبر", "probability": 0.97314453125}, {"start": 1580.79, "end": 1581.11, "word": " أو", "probability": 0.58740234375}, {"start": 1581.11, "end": 1581.27, "word": " P", "probability": 0.900390625}, {"start": 1581.27, "end": 1581.71, "word": " أكبر", "probability": 0.9772135416666666}, {"start": 1581.71, "end": 1582.19, "word": " أو", "probability": 0.6171875}, {"start": 1582.19, "end": 1582.23, "word": " P", "probability": 0.92041015625}, {"start": 1582.23, "end": 1582.57, "word": " أكبر", "probability": 0.9798177083333334}, {"start": 1582.57, "end": 1582.69, "word": " أو", "probability": 0.64794921875}, {"start": 1582.69, "end": 1582.69, "word": " P", "probability": 0.931640625}, {"start": 1582.69, "end": 1583.19, "word": " أكبر", "probability": 0.98193359375}, {"start": 1583.19, "end": 1583.35, "word": " أو", "probability": 0.67041015625}, {"start": 1583.35, "end": 1583.35, "word": " P", "probability": 0.93994140625}, {"start": 1583.35, "end": 1583.71, "word": " أكبر", "probability": 0.9827473958333334}, {"start": 1583.71, "end": 1583.77, "word": " أو", "probability": 0.6953125}, {"start": 1583.77, "end": 1583.87, "word": " P", "probability": 0.94677734375}, {"start": 1583.87, "end": 1585.13, "word": " أكبر", "probability": 0.9837239583333334}, {"start": 1585.13, "end": 1585.23, "word": " أو", "probability": 0.71875}, {"start": 1585.23, "end": 1585.39, "word": " P", "probability": 0.95361328125}, {"start": 1585.39, "end": 1585.53, "word": " أكبر", "probability": 0.9847005208333334}, {"start": 1585.53, "end": 1585.53, "word": " أو", "probability": 0.73046875}, {"start": 1585.53, "end": 1585.53, "word": " P", "probability": 0.9580078125}, {"start": 1585.53, "end": 1585.77, "word": " أكبر", "probability": 0.9855143229166666}, {"start": 1585.77, "end": 1585.77, "word": " أو", "probability": 0.75390625}, {"start": 1585.77, "end": 1585.81, "word": " P", "probability": 0.96435546875}, {"start": 1585.81, "end": 1585.81, "word": " أكبر", "probability": 0.9866536458333334}, {"start": 1585.81, "end": 1585.81, "word": " أو", "probability": 0.77978515625}, {"start": 1585.81, "end": 1585.93, "word": " P", "probability": 0.9677734375}, {"start": 1585.93, "end": 1585.93, "word": " أكبر", "probability": 0.9871419270833334}, {"start": 1585.93, "end": 1585.93, "word": " أو", "probability": 0.79736328125}, {"start": 1585.93, "end": 1586.19, "word": " P", "probability": 0.9716796875}, {"start": 1586.19, "end": 1586.25, "word": " أكبر", "probability": 0.9876302083333334}, {"start": 1586.25, "end": 1586.53, "word": " أو", "probability": 0.81396484375}, {"start": 1586.53, "end": 1586.65, "word": " P", "probability": 0.9755859375}, {"start": 1586.65, "end": 1587.31, "word": " أكبر", "probability": 0.98828125}, {"start": 1587.31, "end": 1587.51, "word": " أو", "probability": 0.830078125}, {"start": 1587.51, "end": 1587.81, "word": " P", "probability": 0.98046875}, {"start": 1587.81, "end": 1587.99, "word": " أكبر", "probability": 0.98876953125}, {"start": 1587.99, "end": 1588.15, "word": " أو", "probability": 0.83935546875}, {"start": 1588.15, "end": 1588.15, "word": " P", "probability": 0.982421875}, {"start": 1588.15, "end": 1588.47, "word": " أكبر", "probability": 0.9889322916666666}, {"start": 1588.47, "end": 1588.81, "word": " أو", "probability": 0.85107421875}, {"start": 1588.81, "end": 1588.81, "word": " P", "probability": 0.98486328125}, {"start": 1588.81, "end": 1589.01, "word": " أكبر", "probability": 0.9895833333333334}, {"start": 1589.01, "end": 1589.01, "word": " أو", "probability": 0.859375}, {"start": 1589.01, "end": 1589.01, "word": " P", "probability": 0.9873046875}, {"start": 1589.01, "end": 1589.01, "word": " أكبر", "probability": 0.98974609375}, {"start": 1589.01, "end": 1589.01, "word": " أو", "probability": 0.8671875}, {"start": 1589.01, "end": 1589.01, "word": " P", "probability": 0.9892578125}, {"start": 1589.01, "end": 1589.01, "word": " أكبر", "probability": 0.9905598958333334}, {"start": 1589.01, "end": 1589.09, "word": " أو", "probability": 0.8798828125}, {"start": 1589.09, "end": 1589.09, "word": " P", "probability": 0.9912109375}, {"start": 1589.09, "end": 1589.09, "word": " أكبر", "probability": 0.9908854166666666}, {"start": 1589.09, "end": 1589.09, "word": " أو", "probability": 0.8837890625}, {"start": 1589.09, "end": 1589.09, "word": " P", "probability": 0.9921875}, {"start": 1589.09, "end": 1589.09, "word": " أكبر", "probability": 0.9908854166666666}, {"start": 1589.09, "end": 1589.49, "word": " أو", "probability": 0.89111328125}, {"start": 1589.49, "end": 1589.57, "word": " P", "probability": 0.99365234375}, {"start": 1589.57, "end": 1590.13, "word": " أكبر", "probability": 0.9912109375}, {"start": 1590.13, "end": 1590.13, "word": " أو", "probability": 0.8955078125}, {"start": 1590.13, "end": 1590.13, "word": " P", "probability": 0.99462890625}, {"start": 1590.13, "end": 1590.17, "word": " أكبر", "probability": 0.9913736979166666}, {"start": 1590.17, "end": 1590.17, "word": " أو", "probability": 0.90087890625}, {"start": 1590.17, "end": 1590.17, "word": " P", "probability": 0.99560546875}, {"start": 1590.17, "end": 1590.17, "word": " أكبر", "probability": 0.9915364583333334}, {"start": 1590.17, "end": 1590.17, "word": " أو", "probability": 0.90234375}, {"start": 1590.17, "end": 1590.17, "word": " P", "probability": 0.99560546875}, {"start": 1590.17, "end": 1590.17, "word": " أكبر", "probability": 0.99169921875}, {"start": 1590.17, "end": 1590.17, "word": " أو", "probability": 0.9052734375}, {"start": 1590.17, "end": 1590.17, "word": " P", "probability": 0.99609375}, {"start": 1590.17, "end": 1590.17, "word": " أكبر", "probability": 0.9918619791666666}, {"start": 1590.17, "end": 1590.17, "word": " أو", "probability": 0.90966796875}, {"start": 1590.17, "end": 1590.17, "word": " P", "probability": 0.99658203125}, {"start": 1590.17, "end": 1590.17, "word": " أكبر", "probability": 0.9921875}, {"start": 1590.17, "end": 1590.17, "word": " أو", "probability": 0.9111328125}, {"start": 1590.17, "end": 1590.17, "word": " P", "probability": 0.99658203125}, {"start": 1590.17, "end": 1590.17, "word": " أكبر", "probability": 0.9918619791666666}, {"start": 1590.17, "end": 1590.17, "word": " أو", "probability": 0.91259765625}, {"start": 1590.17, "end": 1590.17, "word": " P", "probability": 0.99658203125}, {"start": 1590.17, "end": 1590.47, "word": " أكبر", "probability": 0.9920247395833334}, {"start": 1590.47, "end": 1590.69, "word": " أو", "probability": 0.9111328125}, {"start": 1590.69, "end": 1590.69, "word": " P", "probability": 0.99658203125}, {"start": 1590.69, "end": 1590.69, "word": " أكبر", "probability": 0.9921875}, {"start": 1590.69, "end": 1590.73, "word": " أو", "probability": 0.91162109375}, {"start": 1590.73, "end": 1590.77, "word": " P", "probability": 0.99609375}, {"start": 1590.77, "end": 1590.77, "word": " أكبر", "probability": 0.9920247395833334}, {"start": 1590.77, "end": 1590.77, "word": " أو", "probability": 0.90625}, {"start": 1590.77, "end": 1590.77, "word": " P", "probability": 0.99609375}, {"start": 1590.77, "end": 1590.77, "word": " أكبر", "probability": 0.9918619791666666}, {"start": 1590.77, "end": 1590.77, "word": " أو", "probability": 0.90234375}, {"start": 1590.77, "end": 1590.77, "word": " P", "probability": 0.99560546875}, {"start": 1590.77, "end": 1590.77, "word": " أكبر", "probability": 0.9918619791666666}, {"start": 1590.77, "end": 1590.77, "word": " أو", "probability": 0.8994140625}, {"start": 1590.77, "end": 1590.85, "word": " P", "probability": 0.9951171875}, {"start": 1590.85, "end": 1591.51, "word": " أكبر", "probability": 0.99169921875}, {"start": 1591.51, "end": 1592.35, "word": " أو", "probability": 0.8916015625}, {"start": 1592.35, "end": 1592.35, "word": " P", "probability": 0.99462890625}, {"start": 1592.35, "end": 1594.21, "word": " أكبر", "probability": 0.9910481770833334}, {"start": 1594.21, "end": 1594.55, "word": " أو", "probability": 0.89306640625}, {"start": 1594.55, "end": 1594.55, "word": " P", "probability": 0.994140625}, {"start": 1594.55, "end": 1596.69, "word": " أكبر", "probability": 0.9903971354166666}], "temperature": 1.0}, {"id": 73, "seek": 162510, "start": 1596.98, "end": 1625.1, "text": "الـ second method بيقولك أنا بدي استخدم ال limit comparison test اللي هو 1 على N أقص بي على 1 على N تربيع بيساوي limit 1 على N بي minus 2 و بي أكبر من أو يساوي 2 إذا 1 على N بي minus 2 اللي هو هيساوي limit 0 مدام ال limit 0 وعندي اللي هي اللي تحت converge إذا من باب أولى اللي فوق تكون converge إذا summation 1 على N بي", "tokens": [6027, 39184, 1150, 3170, 4724, 1829, 39648, 4117, 41850, 4724, 16254, 44713, 9778, 40448, 2423, 4948, 9660, 1500, 13672, 1829, 31439, 502, 15844, 426, 5551, 4587, 9381, 4724, 1829, 15844, 502, 15844, 426, 6055, 2288, 21292, 3615, 4724, 1829, 3794, 995, 45865, 4948, 502, 15844, 426, 4724, 1829, 3175, 568, 4032, 4724, 1829, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 568, 11933, 15730, 502, 15844, 426, 4724, 1829, 3175, 568, 13672, 1829, 31439, 39896, 3794, 995, 45865, 4948, 1958, 3714, 3215, 10943, 2423, 4948, 1958, 4032, 3615, 1863, 16254, 13672, 1829, 39896, 13672, 1829, 6055, 33753, 41881, 11933, 15730, 9154, 4724, 16758, 5551, 12610, 7578, 13672, 1829, 6156, 30543, 6055, 30544, 41881, 11933, 15730, 28811, 502, 15844, 426, 4724, 1829], "avg_logprob": -0.24212397962081722, "compression_ratio": 1.9300411522633745, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1596.98, "end": 1597.84, "word": "الـ", "probability": 0.451171875}, {"start": 1597.84, "end": 1598.22, "word": " second", "probability": 0.30615234375}, {"start": 1598.22, "end": 1598.64, "word": " method", "probability": 0.94775390625}, {"start": 1598.64, "end": 1599.08, "word": " بيقولك", "probability": 0.65655517578125}, {"start": 1599.08, "end": 1599.2, "word": " أنا", "probability": 0.4443359375}, {"start": 1599.2, "end": 1599.4, "word": " بدي", "probability": 0.582275390625}, {"start": 1599.4, "end": 1599.84, "word": " استخدم", "probability": 0.8717447916666666}, {"start": 1599.84, "end": 1600.02, "word": " ال", "probability": 0.6630859375}, {"start": 1600.02, "end": 1600.26, "word": " limit", "probability": 0.52099609375}, {"start": 1600.26, "end": 1600.82, "word": " comparison", "probability": 0.859375}, {"start": 1600.82, "end": 1601.52, "word": " test", "probability": 0.94384765625}, {"start": 1601.52, "end": 1602.12, "word": " اللي", "probability": 0.880126953125}, {"start": 1602.12, "end": 1602.28, "word": " هو", "probability": 0.9775390625}, {"start": 1602.28, "end": 1602.64, "word": " 1", "probability": 0.64697265625}, {"start": 1602.64, "end": 1602.88, "word": " على", "probability": 0.638671875}, {"start": 1602.88, "end": 1603.12, "word": " N", "probability": 0.391357421875}, {"start": 1603.12, "end": 1603.36, "word": " أقص", "probability": 0.789794921875}, {"start": 1603.36, "end": 1603.58, "word": " بي", "probability": 0.5723876953125}, {"start": 1603.58, "end": 1603.72, "word": " على", "probability": 0.474853515625}, {"start": 1603.72, "end": 1604.0, "word": " 1", "probability": 0.9697265625}, {"start": 1604.0, "end": 1604.2, "word": " على", "probability": 0.85546875}, {"start": 1604.2, "end": 1604.34, "word": " N", "probability": 0.98193359375}, {"start": 1604.34, "end": 1604.94, "word": " تربيع", "probability": 0.8695068359375}, {"start": 1604.94, "end": 1605.66, "word": " بيساوي", "probability": 0.76728515625}, {"start": 1605.66, "end": 1606.02, "word": " limit", "probability": 0.9501953125}, {"start": 1606.02, "end": 1606.36, "word": " 1", "probability": 0.8955078125}, {"start": 1606.36, "end": 1606.58, "word": " على", "probability": 0.8623046875}, {"start": 1606.58, "end": 1606.78, "word": " N", "probability": 0.94970703125}, {"start": 1606.78, "end": 1606.92, "word": " بي", "probability": 0.901123046875}, {"start": 1606.92, "end": 1607.2, "word": " minus", "probability": 0.81591796875}, {"start": 1607.2, "end": 1607.58, "word": " 2", "probability": 0.92822265625}, {"start": 1607.58, "end": 1608.12, "word": " و", "probability": 0.6845703125}, {"start": 1608.12, "end": 1608.36, "word": " بي", "probability": 0.864013671875}, {"start": 1608.36, "end": 1608.76, "word": " أكبر", "probability": 0.9293619791666666}, {"start": 1608.76, "end": 1608.94, "word": " من", "probability": 0.77294921875}, {"start": 1608.94, "end": 1609.12, "word": " أو", "probability": 0.26025390625}, {"start": 1609.12, "end": 1609.46, "word": " يساوي", "probability": 0.9151611328125}, {"start": 1609.46, "end": 1609.74, "word": " 2", "probability": 0.92431640625}, {"start": 1609.74, "end": 1610.02, "word": " إذا", "probability": 0.69287109375}, {"start": 1610.02, "end": 1610.46, "word": " 1", "probability": 0.6240234375}, {"start": 1610.46, "end": 1610.72, "word": " على", "probability": 0.88623046875}, {"start": 1610.72, "end": 1611.06, "word": " N", "probability": 0.96728515625}, {"start": 1611.06, "end": 1611.46, "word": " بي", "probability": 0.98876953125}, {"start": 1611.46, "end": 1612.16, "word": " minus", "probability": 0.98095703125}, {"start": 1612.16, "end": 1612.64, "word": " 2", "probability": 0.98388671875}, {"start": 1612.64, "end": 1612.86, "word": " اللي", "probability": 0.97607421875}, {"start": 1612.86, "end": 1613.0, "word": " هو", "probability": 0.83154296875}, {"start": 1613.0, "end": 1613.44, "word": " هيساوي", "probability": 0.85833740234375}, {"start": 1613.44, "end": 1613.7, "word": " limit", "probability": 0.88232421875}, {"start": 1613.7, "end": 1614.08, "word": " 0", "probability": 0.64794921875}, {"start": 1614.08, "end": 1614.8, "word": " مدام", "probability": 0.77978515625}, {"start": 1614.8, "end": 1614.94, "word": " ال", "probability": 0.73876953125}, {"start": 1614.94, "end": 1615.16, "word": " limit", "probability": 0.9189453125}, {"start": 1615.16, "end": 1615.66, "word": " 0", "probability": 0.7041015625}, {"start": 1615.66, "end": 1616.58, "word": " وعندي", "probability": 0.8681640625}, {"start": 1616.58, "end": 1616.86, "word": " اللي", "probability": 0.982666015625}, {"start": 1616.86, "end": 1617.2, "word": " هي", "probability": 0.66943359375}, {"start": 1617.2, "end": 1617.66, "word": " اللي", "probability": 0.98193359375}, {"start": 1617.66, "end": 1618.14, "word": " تحت", "probability": 0.9912109375}, {"start": 1618.14, "end": 1619.06, "word": " converge", "probability": 0.466552734375}, {"start": 1619.06, "end": 1619.84, "word": " إذا", "probability": 0.894287109375}, {"start": 1619.84, "end": 1620.22, "word": " من", "probability": 0.984375}, {"start": 1620.22, "end": 1620.5, "word": " باب", "probability": 0.97607421875}, {"start": 1620.5, "end": 1620.94, "word": " أولى", "probability": 0.767578125}, {"start": 1620.94, "end": 1621.22, "word": " اللي", "probability": 0.978271484375}, {"start": 1621.22, "end": 1621.54, "word": " فوق", "probability": 0.92822265625}, {"start": 1621.54, "end": 1622.0, "word": " تكون", "probability": 0.953857421875}, {"start": 1622.0, "end": 1623.38, "word": " converge", "probability": 0.8056640625}, {"start": 1623.38, "end": 1623.68, "word": " إذا", "probability": 0.957763671875}, {"start": 1623.68, "end": 1624.06, "word": " summation", "probability": 0.18603515625}, {"start": 1624.06, "end": 1624.36, "word": " 1", "probability": 0.9775390625}, {"start": 1624.36, "end": 1624.58, "word": " على", "probability": 0.912109375}, {"start": 1624.58, "end": 1624.8, "word": " N", "probability": 0.98583984375}, {"start": 1624.8, "end": 1625.1, "word": " بي", "probability": 0.977783203125}], "temperature": 1.0}, {"id": 74, "seek": 164885, "start": 1625.35, "end": 1648.85, "text": "اللي هو convert by limit comparison test طيب show that the ratio and the root tests fail in the case of B series يعني الآن لو بدنا نجرب نستخدم ال ratio test وال root test مش هتظبط طبعا ال limit بنقصته ليش؟ بقولك لو جينا أخدنا limit", "tokens": [6027, 20292, 31439, 7620, 538, 4948, 9660, 1500, 23032, 1829, 3555, 855, 300, 264, 8509, 293, 264, 5593, 6921, 3061, 294, 264, 1389, 295, 363, 2638, 37495, 22653, 6024, 48506, 45164, 47525, 8315, 8717, 7435, 25513, 8717, 14851, 9778, 40448, 2423, 8509, 1500, 16070, 5593, 1500, 37893, 8032, 2655, 19913, 3555, 9566, 23032, 3555, 3615, 995, 2423, 4948, 44945, 4587, 9381, 47395, 32239, 8592, 22807, 4724, 39648, 4117, 45164, 10874, 1829, 8315, 5551, 9778, 3215, 8315, 4948], "avg_logprob": -0.2341746768126121, "compression_ratio": 1.4460093896713615, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1625.35, "end": 1625.71, "word": "اللي", "probability": 0.5296630859375}, {"start": 1625.71, "end": 1625.89, "word": " هو", "probability": 0.94287109375}, {"start": 1625.89, "end": 1626.13, "word": " convert", "probability": 0.05645751953125}, {"start": 1626.13, "end": 1626.63, "word": " by", "probability": 0.83056640625}, {"start": 1626.63, "end": 1627.03, "word": " limit", "probability": 0.87744140625}, {"start": 1627.03, "end": 1627.83, "word": " comparison", "probability": 0.888671875}, {"start": 1627.83, "end": 1628.87, "word": " test", "probability": 0.890625}, {"start": 1628.87, "end": 1631.13, "word": " طيب", "probability": 0.745361328125}, {"start": 1631.13, "end": 1634.37, "word": " show", "probability": 0.61865234375}, {"start": 1634.37, "end": 1634.81, "word": " that", "probability": 0.9501953125}, {"start": 1634.81, "end": 1635.29, "word": " the", "probability": 0.84814453125}, {"start": 1635.29, "end": 1635.69, "word": " ratio", "probability": 0.96337890625}, {"start": 1635.69, "end": 1636.07, "word": " and", "probability": 0.95068359375}, {"start": 1636.07, "end": 1636.69, "word": " the", "probability": 0.8740234375}, {"start": 1636.69, "end": 1636.91, "word": " root", "probability": 0.84228515625}, {"start": 1636.91, "end": 1637.39, "word": " tests", "probability": 0.556640625}, {"start": 1637.39, "end": 1638.33, "word": " fail", "probability": 0.634765625}, {"start": 1638.33, "end": 1638.59, "word": " in", "probability": 0.96533203125}, {"start": 1638.59, "end": 1638.77, "word": " the", "probability": 0.814453125}, {"start": 1638.77, "end": 1639.17, "word": " case", "probability": 0.93017578125}, {"start": 1639.17, "end": 1639.41, "word": " of", "probability": 0.97705078125}, {"start": 1639.41, "end": 1639.63, "word": " B", "probability": 0.5712890625}, {"start": 1639.63, "end": 1639.95, "word": " series", "probability": 0.65576171875}, {"start": 1639.95, "end": 1640.23, "word": " يعني", "probability": 0.921875}, {"start": 1640.23, "end": 1640.43, "word": " الآن", "probability": 0.61767578125}, {"start": 1640.43, "end": 1640.55, "word": " لو", "probability": 0.9541015625}, {"start": 1640.55, "end": 1640.79, "word": " بدنا", "probability": 0.984375}, {"start": 1640.79, "end": 1641.25, "word": " نجرب", "probability": 0.9899088541666666}, {"start": 1641.25, "end": 1642.17, "word": " نستخدم", "probability": 0.9698486328125}, {"start": 1642.17, "end": 1642.33, "word": " ال", "probability": 0.94873046875}, {"start": 1642.33, "end": 1642.57, "word": " ratio", "probability": 0.98681640625}, {"start": 1642.57, "end": 1642.97, "word": " test", "probability": 0.88525390625}, {"start": 1642.97, "end": 1643.25, "word": " وال", "probability": 0.78466796875}, {"start": 1643.25, "end": 1643.53, "word": " root", "probability": 0.8759765625}, {"start": 1643.53, "end": 1643.99, "word": " test", "probability": 0.9384765625}, {"start": 1643.99, "end": 1644.49, "word": " مش", "probability": 0.935546875}, {"start": 1644.49, "end": 1645.03, "word": " هتظبط", "probability": 0.9048828125}, {"start": 1645.03, "end": 1645.29, "word": " طبعا", "probability": 0.943603515625}, {"start": 1645.29, "end": 1645.39, "word": " ال", "probability": 0.5869140625}, {"start": 1645.39, "end": 1645.57, "word": " limit", "probability": 0.92041015625}, {"start": 1645.57, "end": 1646.31, "word": " بنقصته", "probability": 0.6575927734375}, {"start": 1646.31, "end": 1647.13, "word": " ليش؟", "probability": 0.77294921875}, {"start": 1647.13, "end": 1647.55, "word": " بقولك", "probability": 0.9615885416666666}, {"start": 1647.55, "end": 1647.73, "word": " لو", "probability": 0.93310546875}, {"start": 1647.73, "end": 1648.07, "word": " جينا", "probability": 0.7762044270833334}, {"start": 1648.07, "end": 1648.51, "word": " أخدنا", "probability": 0.83441162109375}, {"start": 1648.51, "end": 1648.85, "word": " limit", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 75, "seek": 166982, "start": 1649.6, "end": 1669.82, "text": "الـ 1 على N أُس B أُس 1 على N الـ N through test هذا بيساوي ال limit و N أُس 1 على N أُس minus B ماشي ال N أُس 1 على N ال limit اللي لها من example أخدناها في شبطر 3 في الفصل الماضي أو في تحليل 1 هذا و برضه بتقف تعملوا أصلا لحالكم", "tokens": [6027, 39184, 502, 15844, 426, 5551, 10859, 3794, 363, 5551, 10859, 3794, 502, 15844, 426, 2423, 39184, 426, 807, 1500, 23758, 4724, 1829, 3794, 995, 45865, 2423, 4948, 4032, 426, 5551, 10859, 3794, 502, 15844, 426, 5551, 10859, 3794, 3175, 363, 3714, 33599, 1829, 2423, 426, 5551, 10859, 3794, 502, 15844, 426, 2423, 4948, 13672, 1829, 5296, 11296, 9154, 1365, 5551, 9778, 3215, 8315, 11296, 8978, 13412, 3555, 9566, 2288, 805, 8978, 27188, 36520, 9673, 46958, 1829, 34051, 8978, 6055, 5016, 20292, 1211, 502, 23758, 4032, 4724, 43042, 3224, 39894, 4587, 5172, 6055, 25957, 1211, 14407, 5551, 9381, 15040, 5296, 5016, 6027, 24793], "avg_logprob": -0.2480468890414788, "compression_ratio": 1.6904761904761905, "no_speech_prob": 2.2232532501220703e-05, "words": [{"start": 1649.6, "end": 1650.0, "word": "الـ", "probability": 0.5751953125}, {"start": 1650.0, "end": 1650.2, "word": " 1", "probability": 0.65478515625}, {"start": 1650.2, "end": 1650.48, "word": " على", "probability": 0.580078125}, {"start": 1650.48, "end": 1650.8, "word": " N", "probability": 0.498046875}, {"start": 1650.8, "end": 1651.46, "word": " أُس", "probability": 0.7569986979166666}, {"start": 1651.46, "end": 1651.68, "word": " B", "probability": 0.439453125}, {"start": 1651.68, "end": 1652.08, "word": " أُس", "probability": 0.927734375}, {"start": 1652.08, "end": 1652.38, "word": " 1", "probability": 0.91796875}, {"start": 1652.38, "end": 1652.64, "word": " على", "probability": 0.8955078125}, {"start": 1652.64, "end": 1653.0, "word": " N", "probability": 0.98291015625}, {"start": 1653.0, "end": 1653.58, "word": " الـ", "probability": 0.4947509765625}, {"start": 1653.58, "end": 1653.66, "word": " N", "probability": 0.282470703125}, {"start": 1653.66, "end": 1653.84, "word": " through", "probability": 0.2958984375}, {"start": 1653.84, "end": 1654.24, "word": " test", "probability": 0.361083984375}, {"start": 1654.24, "end": 1654.54, "word": " هذا", "probability": 0.73095703125}, {"start": 1654.54, "end": 1655.6, "word": " بيساوي", "probability": 0.7048828125}, {"start": 1655.6, "end": 1655.72, "word": " ال", "probability": 0.8974609375}, {"start": 1655.72, "end": 1656.08, "word": " limit", "probability": 0.85595703125}, {"start": 1656.08, "end": 1656.3, "word": " و", "probability": 0.61962890625}, {"start": 1656.3, "end": 1656.6, "word": " N", "probability": 0.76806640625}, {"start": 1656.6, "end": 1656.84, "word": " أُس", "probability": 0.92529296875}, {"start": 1656.84, "end": 1657.02, "word": " 1", "probability": 0.970703125}, {"start": 1657.02, "end": 1657.2, "word": " على", "probability": 0.86181640625}, {"start": 1657.2, "end": 1657.42, "word": " N", "probability": 0.9853515625}, {"start": 1657.42, "end": 1657.66, "word": " أُس", "probability": 0.97265625}, {"start": 1657.66, "end": 1657.94, "word": " minus", "probability": 0.6171875}, {"start": 1657.94, "end": 1658.32, "word": " B", "probability": 0.9697265625}, {"start": 1658.32, "end": 1659.42, "word": " ماشي", "probability": 0.8655598958333334}, {"start": 1659.42, "end": 1660.2, "word": " ال", "probability": 0.5849609375}, {"start": 1660.2, "end": 1660.38, "word": " N", "probability": 0.89990234375}, {"start": 1660.38, "end": 1660.62, "word": " أُس", "probability": 0.9599609375}, {"start": 1660.62, "end": 1660.86, "word": " 1", "probability": 0.98193359375}, {"start": 1660.86, "end": 1661.02, "word": " على", "probability": 0.888671875}, {"start": 1661.02, "end": 1661.2, "word": " N", "probability": 0.99365234375}, {"start": 1661.2, "end": 1661.32, "word": " ال", "probability": 0.84521484375}, {"start": 1661.32, "end": 1661.56, "word": " limit", "probability": 0.95556640625}, {"start": 1661.56, "end": 1661.72, "word": " اللي", "probability": 0.738037109375}, {"start": 1661.72, "end": 1661.84, "word": " لها", "probability": 0.61492919921875}, {"start": 1661.84, "end": 1661.98, "word": " من", "probability": 0.966796875}, {"start": 1661.98, "end": 1662.4, "word": " example", "probability": 0.82275390625}, {"start": 1662.4, "end": 1662.86, "word": " أخدناها", "probability": 0.85712890625}, {"start": 1662.86, "end": 1662.94, "word": " في", "probability": 0.8984375}, {"start": 1662.94, "end": 1663.28, "word": " شبطر", "probability": 0.5457763671875}, {"start": 1663.28, "end": 1663.52, "word": " 3", "probability": 0.6181640625}, {"start": 1663.52, "end": 1663.84, "word": " في", "probability": 0.87890625}, {"start": 1663.84, "end": 1664.88, "word": " الفصل", "probability": 0.665283203125}, {"start": 1664.88, "end": 1665.54, "word": " الماضي", "probability": 0.9806315104166666}, {"start": 1665.54, "end": 1666.02, "word": " أو", "probability": 0.71826171875}, {"start": 1666.02, "end": 1666.32, "word": " في", "probability": 0.82373046875}, {"start": 1666.32, "end": 1666.92, "word": " تحليل", "probability": 0.9901123046875}, {"start": 1666.92, "end": 1667.26, "word": " 1", "probability": 0.9091796875}, {"start": 1667.26, "end": 1668.0, "word": " هذا", "probability": 0.85205078125}, {"start": 1668.0, "end": 1668.14, "word": " و", "probability": 0.81640625}, {"start": 1668.14, "end": 1668.4, "word": " برضه", "probability": 0.9021809895833334}, {"start": 1668.4, "end": 1668.7, "word": " بتقف", "probability": 0.8133138020833334}, {"start": 1668.7, "end": 1669.08, "word": " تعملوا", "probability": 0.816650390625}, {"start": 1669.08, "end": 1669.34, "word": " أصلا", "probability": 0.9435221354166666}, {"start": 1669.34, "end": 1669.82, "word": " لحالكم", "probability": 0.861083984375}], "temperature": 1.0}, {"id": 76, "seek": 169380, "start": 1670.32, "end": 1693.8, "text": "الـ limit له بيساوي واحد إذا صار عندى واحد أقصى minus b إذا بيساوي إيش واحد الان مدام طالع عندى ال limit اللي هو ال Xn أقصى واحدة الان بيساوي واحد إذا بيقول ال test failed الان similarly لو جربنا اللي هو ال ratio test واحدة الان زيادة واحدة أقصى b على واحدة أن أقصى b بيساوي ال limit", "tokens": [6027, 39184, 4948, 46740, 4724, 1829, 3794, 995, 45865, 36764, 24401, 11933, 15730, 20328, 9640, 43242, 7578, 36764, 24401, 5551, 4587, 9381, 7578, 3175, 272, 11933, 15730, 4724, 1829, 3794, 995, 45865, 11933, 1829, 8592, 36764, 24401, 2423, 7649, 3714, 3215, 10943, 23032, 6027, 3615, 43242, 7578, 2423, 4948, 13672, 1829, 31439, 2423, 1783, 77, 5551, 4587, 9381, 7578, 36764, 24401, 3660, 2423, 7649, 4724, 1829, 3794, 995, 45865, 36764, 24401, 11933, 15730, 4724, 1829, 39648, 2423, 1500, 7612, 2423, 7649, 14138, 45164, 10874, 25513, 8315, 13672, 1829, 31439, 2423, 8509, 1500, 36764, 24401, 3660, 2423, 7649, 30767, 1829, 18513, 3660, 36764, 24401, 3660, 5551, 4587, 9381, 7578, 272, 15844, 36764, 24401, 3660, 14739, 5551, 4587, 9381, 7578, 272, 4724, 1829, 3794, 995, 45865, 2423, 4948], "avg_logprob": -0.31914369562479455, "compression_ratio": 2.1666666666666665, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1670.32, "end": 1670.58, "word": "الـ", "probability": 0.4073486328125}, {"start": 1670.58, "end": 1670.78, "word": " limit", "probability": 0.552734375}, {"start": 1670.78, "end": 1671.02, "word": " له", "probability": 0.10137939453125}, {"start": 1671.02, "end": 1671.4, "word": " بيساوي", "probability": 0.7201171875}, {"start": 1671.4, "end": 1671.7, "word": " واحد", "probability": 0.7235107421875}, {"start": 1671.7, "end": 1671.86, "word": " إذا", "probability": 0.80126953125}, {"start": 1671.86, "end": 1672.14, "word": " صار", "probability": 0.838623046875}, {"start": 1672.14, "end": 1672.34, "word": " عندى", "probability": 0.659423828125}, {"start": 1672.34, "end": 1672.6, "word": " واحد", "probability": 0.93359375}, {"start": 1672.6, "end": 1672.74, "word": " أقصى", "probability": 0.690185546875}, {"start": 1672.74, "end": 1672.98, "word": " minus", "probability": 0.6767578125}, {"start": 1672.98, "end": 1673.24, "word": " b", "probability": 0.322021484375}, {"start": 1673.24, "end": 1673.5, "word": " إذا", "probability": 0.813720703125}, {"start": 1673.5, "end": 1674.0, "word": " بيساوي", "probability": 0.970703125}, {"start": 1674.0, "end": 1674.28, "word": " إيش", "probability": 0.6109212239583334}, {"start": 1674.28, "end": 1674.8, "word": " واحد", "probability": 0.94677734375}, {"start": 1674.8, "end": 1675.68, "word": " الان", "probability": 0.6650390625}, {"start": 1675.68, "end": 1676.58, "word": " مدام", "probability": 0.7259114583333334}, {"start": 1676.58, "end": 1676.88, "word": " طالع", "probability": 0.7980143229166666}, {"start": 1676.88, "end": 1677.26, "word": " عندى", "probability": 0.6552734375}, {"start": 1677.26, "end": 1677.28, "word": " ال", "probability": 0.83251953125}, {"start": 1677.28, "end": 1678.4, "word": " limit", "probability": 0.86328125}, {"start": 1678.4, "end": 1678.96, "word": " اللي", "probability": 0.46630859375}, {"start": 1678.96, "end": 1679.4, "word": " هو", "probability": 0.947265625}, {"start": 1679.4, "end": 1679.76, "word": " ال", "probability": 0.580078125}, {"start": 1679.76, "end": 1680.44, "word": " Xn", "probability": 0.3553466796875}, {"start": 1680.44, "end": 1680.84, "word": " أقصى", "probability": 0.8917236328125}, {"start": 1680.84, "end": 1681.24, "word": " واحدة", "probability": 0.9475911458333334}, {"start": 1681.24, "end": 1681.5, "word": " الان", "probability": 0.57781982421875}, {"start": 1681.5, "end": 1681.94, "word": " بيساوي", "probability": 0.97919921875}, {"start": 1681.94, "end": 1682.3, "word": " واحد", "probability": 0.993408203125}, {"start": 1682.3, "end": 1682.48, "word": " إذا", "probability": 0.74609375}, {"start": 1682.48, "end": 1682.92, "word": " بيقول", "probability": 0.5345865885416666}, {"start": 1682.92, "end": 1683.08, "word": " ال", "probability": 0.8759765625}, {"start": 1683.08, "end": 1683.46, "word": " test", "probability": 0.95751953125}, {"start": 1683.46, "end": 1684.14, "word": " failed", "probability": 0.216064453125}, {"start": 1684.14, "end": 1685.02, "word": " الان", "probability": 0.59869384765625}, {"start": 1685.02, "end": 1685.68, "word": " similarly", "probability": 0.59765625}, {"start": 1685.68, "end": 1685.98, "word": " لو", "probability": 0.96240234375}, {"start": 1685.98, "end": 1686.66, "word": " جربنا", "probability": 0.9952799479166666}, {"start": 1686.66, "end": 1686.88, "word": " اللي", "probability": 0.846435546875}, {"start": 1686.88, "end": 1687.14, "word": " هو", "probability": 0.98876953125}, {"start": 1687.14, "end": 1687.42, "word": " ال", "probability": 0.9619140625}, {"start": 1687.42, "end": 1688.86, "word": " ratio", "probability": 0.96875}, {"start": 1688.86, "end": 1689.4, "word": " test", "probability": 0.94287109375}, {"start": 1689.4, "end": 1690.32, "word": " واحدة", "probability": 0.8387044270833334}, {"start": 1690.32, "end": 1690.44, "word": " الان", "probability": 0.6961669921875}, {"start": 1690.44, "end": 1690.74, "word": " زيادة", "probability": 0.74835205078125}, {"start": 1690.74, "end": 1690.98, "word": " واحدة", "probability": 0.9332682291666666}, {"start": 1690.98, "end": 1691.18, "word": " أقصى", "probability": 0.9346923828125}, {"start": 1691.18, "end": 1691.34, "word": " b", "probability": 0.403564453125}, {"start": 1691.34, "end": 1691.54, "word": " على", "probability": 0.5126953125}, {"start": 1691.54, "end": 1691.88, "word": " واحدة", "probability": 0.9866536458333334}, {"start": 1691.88, "end": 1692.02, "word": " أن", "probability": 0.2183837890625}, {"start": 1692.02, "end": 1692.3, "word": " أقصى", "probability": 0.874267578125}, {"start": 1692.3, "end": 1692.62, "word": " b", "probability": 0.724609375}, {"start": 1692.62, "end": 1693.3, "word": " بيساوي", "probability": 0.96572265625}, {"start": 1693.3, "end": 1693.42, "word": " ال", "probability": 0.67529296875}, {"start": 1693.42, "end": 1693.8, "word": " limit", "probability": 0.97265625}], "temperature": 1.0}, {"id": 77, "seek": 171015, "start": 1694.11, "end": 1710.15, "text": "لا اللي هي 1 على 1 زائد 1 على أنقص بي عارفين إيش اللي سوناه اللي هو جسمنا اللي هي اللي هنا على أنقص بي وهنا على أنقص بي صارت 1 هذا على أنقص بي وهذا على أنقص بي بيصير 1 زائد 1 لأن كل أس بي", "tokens": [15040, 13672, 1829, 39896, 502, 15844, 502, 30767, 16373, 3215, 502, 15844, 14739, 4587, 9381, 4724, 1829, 6225, 9640, 5172, 9957, 11933, 1829, 8592, 13672, 1829, 8608, 2407, 8315, 3224, 13672, 1829, 31439, 10874, 38251, 8315, 13672, 1829, 39896, 13672, 1829, 34105, 15844, 14739, 4587, 9381, 4724, 1829, 37037, 8315, 15844, 14739, 4587, 9381, 4724, 1829, 20328, 9640, 2655, 502, 23758, 15844, 14739, 4587, 9381, 4724, 1829, 37037, 15730, 15844, 14739, 4587, 9381, 4724, 1829, 4724, 1829, 9381, 13546, 502, 30767, 16373, 3215, 502, 5296, 33456, 28242, 5551, 3794, 4724, 1829], "avg_logprob": -0.19786004900284435, "compression_ratio": 2.3503649635036497, "no_speech_prob": 4.351139068603516e-06, "words": [{"start": 1694.11, "end": 1694.49, "word": "لا", "probability": 0.66064453125}, {"start": 1694.49, "end": 1695.17, "word": " اللي", "probability": 0.598388671875}, {"start": 1695.17, "end": 1695.43, "word": " هي", "probability": 0.7744140625}, {"start": 1695.43, "end": 1695.97, "word": " 1", "probability": 0.5615234375}, {"start": 1695.97, "end": 1696.41, "word": " على", "probability": 0.64306640625}, {"start": 1696.41, "end": 1696.81, "word": " 1", "probability": 0.9189453125}, {"start": 1696.81, "end": 1697.37, "word": " زائد", "probability": 0.8201497395833334}, {"start": 1697.37, "end": 1697.57, "word": " 1", "probability": 0.94482421875}, {"start": 1697.57, "end": 1697.77, "word": " على", "probability": 0.73388671875}, {"start": 1697.77, "end": 1698.51, "word": " أنقص", "probability": 0.5245768229166666}, {"start": 1698.51, "end": 1698.93, "word": " بي", "probability": 0.5518798828125}, {"start": 1698.93, "end": 1699.65, "word": " عارفين", "probability": 0.8790283203125}, {"start": 1699.65, "end": 1699.83, "word": " إيش", "probability": 0.7234700520833334}, {"start": 1699.83, "end": 1699.97, "word": " اللي", "probability": 0.98779296875}, {"start": 1699.97, "end": 1700.75, "word": " سوناه", "probability": 0.7890625}, {"start": 1700.75, "end": 1701.09, "word": " اللي", "probability": 0.920654296875}, {"start": 1701.09, "end": 1701.25, "word": " هو", "probability": 0.9423828125}, {"start": 1701.25, "end": 1701.85, "word": " جسمنا", "probability": 0.93212890625}, {"start": 1701.85, "end": 1702.33, "word": " اللي", "probability": 0.982421875}, {"start": 1702.33, "end": 1702.41, "word": " هي", "probability": 0.6025390625}, {"start": 1702.41, "end": 1703.13, "word": " اللي", "probability": 0.8232421875}, {"start": 1703.13, "end": 1703.37, "word": " هنا", "probability": 0.8173828125}, {"start": 1703.37, "end": 1703.71, "word": " على", "probability": 0.89501953125}, {"start": 1703.71, "end": 1704.29, "word": " أنقص", "probability": 0.9845377604166666}, {"start": 1704.29, "end": 1704.63, "word": " بي", "probability": 0.95556640625}, {"start": 1704.63, "end": 1704.99, "word": " وهنا", "probability": 0.774169921875}, {"start": 1704.99, "end": 1705.13, "word": " على", "probability": 0.94482421875}, {"start": 1705.13, "end": 1705.39, "word": " أنقص", "probability": 0.9812825520833334}, {"start": 1705.39, "end": 1705.49, "word": " بي", "probability": 0.99462890625}, {"start": 1705.49, "end": 1705.79, "word": " صارت", "probability": 0.84326171875}, {"start": 1705.79, "end": 1706.13, "word": " 1", "probability": 0.47802734375}, {"start": 1706.13, "end": 1706.61, "word": " هذا", "probability": 0.58154296875}, {"start": 1706.61, "end": 1706.77, "word": " على", "probability": 0.92431640625}, {"start": 1706.77, "end": 1707.11, "word": " أنقص", "probability": 0.9817708333333334}, {"start": 1707.11, "end": 1707.25, "word": " بي", "probability": 0.992919921875}, {"start": 1707.25, "end": 1707.49, "word": " وهذا", "probability": 0.865234375}, {"start": 1707.49, "end": 1707.57, "word": " على", "probability": 0.94287109375}, {"start": 1707.57, "end": 1707.85, "word": " أنقص", "probability": 0.9840494791666666}, {"start": 1707.85, "end": 1707.99, "word": " بي", "probability": 0.99755859375}, {"start": 1707.99, "end": 1708.37, "word": " بيصير", "probability": 0.93798828125}, {"start": 1708.37, "end": 1708.67, "word": " 1", "probability": 0.9345703125}, {"start": 1708.67, "end": 1708.97, "word": " زائد", "probability": 0.91455078125}, {"start": 1708.97, "end": 1709.15, "word": " 1", "probability": 0.98681640625}, {"start": 1709.15, "end": 1709.47, "word": " لأن", "probability": 0.6229248046875}, {"start": 1709.47, "end": 1709.71, "word": " كل", "probability": 0.7119140625}, {"start": 1709.71, "end": 1709.91, "word": " أس", "probability": 0.5574951171875}, {"start": 1709.91, "end": 1710.15, "word": " بي", "probability": 0.982666015625}], "temperature": 1.0}, {"id": 78, "seek": 172820, "start": 1710.4, "end": 1728.2, "text": "الان صار عندى limit as n goes to infinity لازم يصير 1 اذا ال test برضه ال ratio test فاش فال اذا مانفعش انحل ال b series by ال ratio test و لا ال anthro test", "tokens": [6027, 7649, 20328, 9640, 43242, 7578, 4948, 382, 297, 1709, 281, 13202, 5296, 31377, 2304, 7251, 9381, 13546, 502, 1975, 15730, 2423, 1500, 4724, 43042, 3224, 2423, 8509, 1500, 6156, 33599, 6156, 6027, 1975, 15730, 3714, 7649, 5172, 3615, 8592, 16472, 5016, 1211, 2423, 272, 2638, 538, 2423, 8509, 1500, 4032, 20193, 2423, 25820, 340, 1500], "avg_logprob": -0.49808116544756975, "compression_ratio": 1.4429530201342282, "no_speech_prob": 0.0, "words": [{"start": 1710.4, "end": 1711.16, "word": "الان", "probability": 0.828857421875}, {"start": 1711.16, "end": 1712.04, "word": " صار", "probability": 0.638916015625}, {"start": 1712.04, "end": 1712.4, "word": " عندى", "probability": 0.754638671875}, {"start": 1712.4, "end": 1712.7, "word": " limit", "probability": 0.428466796875}, {"start": 1712.7, "end": 1712.92, "word": " as", "probability": 0.91064453125}, {"start": 1712.92, "end": 1713.04, "word": " n", "probability": 0.63037109375}, {"start": 1713.04, "end": 1713.2, "word": " goes", "probability": 0.89697265625}, {"start": 1713.2, "end": 1713.32, "word": " to", "probability": 0.89501953125}, {"start": 1713.32, "end": 1713.56, "word": " infinity", "probability": 0.87939453125}, {"start": 1713.56, "end": 1714.08, "word": " لازم", "probability": 0.4386800130208333}, {"start": 1714.08, "end": 1714.72, "word": " يصير", "probability": 0.473388671875}, {"start": 1714.72, "end": 1715.38, "word": " 1", "probability": 0.46337890625}, {"start": 1715.38, "end": 1716.12, "word": " اذا", "probability": 0.6298828125}, {"start": 1716.12, "end": 1716.36, "word": " ال", "probability": 0.6484375}, {"start": 1716.36, "end": 1716.62, "word": " test", "probability": 0.63037109375}, {"start": 1716.62, "end": 1717.06, "word": " برضه", "probability": 0.7069091796875}, {"start": 1717.06, "end": 1717.18, "word": " ال", "probability": 0.80517578125}, {"start": 1717.18, "end": 1717.4, "word": " ratio", "probability": 0.98046875}, {"start": 1717.4, "end": 1717.8, "word": " test", "probability": 0.9423828125}, {"start": 1717.8, "end": 1718.28, "word": " فاش", "probability": 0.5789794921875}, {"start": 1718.28, "end": 1718.82, "word": " فال", "probability": 0.81201171875}, {"start": 1718.82, "end": 1719.04, "word": " اذا", "probability": 0.786376953125}, {"start": 1719.04, "end": 1719.64, "word": " مانفعش", "probability": 0.66591796875}, {"start": 1719.64, "end": 1720.04, "word": " انحل", "probability": 0.662841796875}, {"start": 1720.04, "end": 1720.18, "word": " ال", "probability": 0.92138671875}, {"start": 1720.18, "end": 1720.36, "word": " b", "probability": 0.3759765625}, {"start": 1720.36, "end": 1720.9, "word": " series", "probability": 0.73681640625}, {"start": 1720.9, "end": 1721.52, "word": " by", "probability": 0.6611328125}, {"start": 1721.52, "end": 1722.08, "word": " ال", "probability": 0.210693359375}, {"start": 1722.08, "end": 1723.96, "word": " ratio", "probability": 0.96875}, {"start": 1723.96, "end": 1724.48, "word": " test", "probability": 0.95703125}, {"start": 1724.48, "end": 1724.98, "word": " و", "probability": 0.398681640625}, {"start": 1724.98, "end": 1725.36, "word": " لا", "probability": 0.95556640625}, {"start": 1725.36, "end": 1726.7, "word": " ال", "probability": 0.943359375}, {"start": 1726.7, "end": 1727.62, "word": " anthro", "probability": 0.3603515625}, {"start": 1727.62, "end": 1728.2, "word": " test", "probability": 0.78564453125}], "temperature": 1.0}, {"id": 79, "seek": 174401, "start": 1735.79, "end": 1744.01, "text": "الان بقول لي ايش رايك تستخدمنا اللي هو الـ Integral Test تشوفه بظبط في الـ B Series ولا لأ", "tokens": [6027, 7649, 4724, 39648, 32239, 1975, 1829, 8592, 12602, 47302, 4117, 6055, 14851, 9778, 40448, 8315, 13672, 1829, 31439, 2423, 39184, 23894, 304, 9279, 6055, 8592, 38688, 3224, 4724, 19913, 3555, 9566, 8978, 2423, 39184, 363, 13934, 49429, 5296, 10721], "avg_logprob": -0.4134908536585366, "compression_ratio": 1.144, "no_speech_prob": 0.0, "words": [{"start": 1735.79, "end": 1736.47, "word": "الان", "probability": 0.43646240234375}, {"start": 1736.47, "end": 1737.15, "word": " بقول", "probability": 0.3343505859375}, {"start": 1737.15, "end": 1737.23, "word": " لي", "probability": 0.326171875}, {"start": 1737.23, "end": 1737.45, "word": " ايش", "probability": 0.7523600260416666}, {"start": 1737.45, "end": 1737.77, "word": " رايك", "probability": 0.9176432291666666}, {"start": 1737.77, "end": 1739.03, "word": " تستخدمنا", "probability": 0.8075439453125}, {"start": 1739.03, "end": 1739.91, "word": " اللي", "probability": 0.809814453125}, {"start": 1739.91, "end": 1740.47, "word": " هو", "probability": 0.98876953125}, {"start": 1740.47, "end": 1741.05, "word": " الـ", "probability": 0.728515625}, {"start": 1741.05, "end": 1741.65, "word": " Integral", "probability": 0.5948486328125}, {"start": 1741.65, "end": 1741.93, "word": " Test", "probability": 0.59326171875}, {"start": 1741.93, "end": 1742.41, "word": " تشوفه", "probability": 0.84979248046875}, {"start": 1742.41, "end": 1742.75, "word": " بظبط", "probability": 0.86572265625}, {"start": 1742.75, "end": 1742.87, "word": " في", "probability": 0.90966796875}, {"start": 1742.87, "end": 1742.97, "word": " الـ", "probability": 0.91455078125}, {"start": 1742.97, "end": 1743.07, "word": " B", "probability": 0.5732421875}, {"start": 1743.07, "end": 1743.45, "word": " Series", "probability": 0.483154296875}, {"start": 1743.45, "end": 1743.69, "word": " ولا", "probability": 0.77685546875}, {"start": 1743.69, "end": 1744.01, "word": " لأ", "probability": 0.794921875}], "temperature": 1.0}, {"id": 80, "seek": 177428, "start": 1745.8, "end": 1774.28, "text": "لت F of T بيساوي T Os minus B ده المؤهلة انها اللي هي تكون اللي هي الاستخدام اللي هي واحد على T أوس بي واحد على T أوس بي الان وهذه ال series decreasing ويمحلاها الى اخره and recalled that ال integration من واحد لعند ان واحد على T DT ايش بيساوي سهل ايجادها كمان عبارة عن لن الان ناقص لن الواحد لن الواحد سفر يعني بتبقى عند لن الان", "tokens": [1211, 2655, 479, 295, 314, 4724, 1829, 3794, 995, 45865, 314, 8875, 3175, 363, 11778, 3224, 9673, 33604, 3224, 37977, 16472, 11296, 13672, 1829, 39896, 6055, 30544, 13672, 1829, 39896, 42963, 14851, 9778, 3215, 10943, 13672, 1829, 39896, 36764, 24401, 15844, 314, 34051, 3794, 4724, 1829, 36764, 24401, 15844, 314, 34051, 3794, 4724, 1829, 2423, 7649, 37037, 24192, 2423, 2638, 23223, 4032, 32640, 5016, 15040, 11296, 2423, 7578, 1975, 34740, 3224, 293, 43086, 5929, 300, 2423, 10980, 9154, 36764, 24401, 5296, 3615, 41260, 16472, 36764, 24401, 15844, 314, 413, 51, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 8608, 3224, 1211, 1975, 1829, 7435, 18513, 11296, 9122, 2304, 7649, 6225, 3555, 9640, 3660, 18871, 5296, 1863, 2423, 7649, 8717, 995, 4587, 9381, 5296, 1863, 2423, 14407, 24401, 5296, 1863, 2423, 14407, 24401, 8608, 5172, 2288, 37495, 22653, 39894, 3555, 4587, 7578, 43242, 5296, 1863, 2423, 7649], "avg_logprob": -0.2587159762577135, "compression_ratio": 1.9130434782608696, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1745.8, "end": 1746.36, "word": "لت", "probability": 0.6119384765625}, {"start": 1746.36, "end": 1746.66, "word": " F", "probability": 0.232666015625}, {"start": 1746.66, "end": 1746.94, "word": " of", "probability": 0.387451171875}, {"start": 1746.94, "end": 1747.18, "word": " T", "probability": 0.8515625}, {"start": 1747.18, "end": 1747.74, "word": " بيساوي", "probability": 0.647265625}, {"start": 1747.74, "end": 1747.98, "word": " T", "probability": 0.7587890625}, {"start": 1747.98, "end": 1748.16, "word": " Os", "probability": 0.070068359375}, {"start": 1748.16, "end": 1748.54, "word": " minus", "probability": 0.34521484375}, {"start": 1748.54, "end": 1748.84, "word": " B", "probability": 0.61279296875}, {"start": 1748.84, "end": 1749.28, "word": " ده", "probability": 0.6343994140625}, {"start": 1749.28, "end": 1750.3, "word": " المؤهلة", "probability": 0.890380859375}, {"start": 1750.3, "end": 1751.12, "word": " انها", "probability": 0.644775390625}, {"start": 1751.12, "end": 1751.34, "word": " اللي", "probability": 0.771240234375}, {"start": 1751.34, "end": 1751.68, "word": " هي", "probability": 0.9013671875}, {"start": 1751.68, "end": 1752.36, "word": " تكون", "probability": 0.849853515625}, {"start": 1752.36, "end": 1753.12, "word": " اللي", "probability": 0.695556640625}, {"start": 1753.12, "end": 1753.44, "word": " هي", "probability": 0.93017578125}, {"start": 1753.44, "end": 1754.48, "word": " الاستخدام", "probability": 0.873388671875}, {"start": 1754.48, "end": 1754.64, "word": " اللي", "probability": 0.959716796875}, {"start": 1754.64, "end": 1754.8, "word": " هي", "probability": 0.8779296875}, {"start": 1754.8, "end": 1755.2, "word": " واحد", "probability": 0.778564453125}, {"start": 1755.2, "end": 1755.38, "word": " على", "probability": 0.634765625}, {"start": 1755.38, "end": 1755.72, "word": " T", "probability": 0.80908203125}, {"start": 1755.72, "end": 1756.26, "word": " أوس", "probability": 0.62841796875}, {"start": 1756.26, "end": 1756.56, "word": " بي", "probability": 0.830078125}, {"start": 1756.56, "end": 1757.04, "word": " واحد", "probability": 0.90234375}, {"start": 1757.04, "end": 1757.2, "word": " على", "probability": 0.83984375}, {"start": 1757.2, "end": 1757.38, "word": " T", "probability": 0.908203125}, {"start": 1757.38, "end": 1757.6, "word": " أوس", "probability": 0.955322265625}, {"start": 1757.6, "end": 1758.0, "word": " بي", "probability": 0.968994140625}, {"start": 1758.0, "end": 1758.8, "word": " الان", "probability": 0.78857421875}, {"start": 1758.8, "end": 1759.24, "word": " وهذه", "probability": 0.588623046875}, {"start": 1759.24, "end": 1759.38, "word": " ال", "probability": 0.87451171875}, {"start": 1759.38, "end": 1759.66, "word": " series", "probability": 0.8447265625}, {"start": 1759.66, "end": 1761.32, "word": " decreasing", "probability": 0.71142578125}, {"start": 1761.32, "end": 1762.14, "word": " ويمحلاها", "probability": 0.826904296875}, {"start": 1762.14, "end": 1762.38, "word": " الى", "probability": 0.6197509765625}, {"start": 1762.38, "end": 1762.88, "word": " اخره", "probability": 0.80810546875}, {"start": 1762.88, "end": 1763.6, "word": " and", "probability": 0.2705078125}, {"start": 1763.6, "end": 1764.12, "word": " recalled", "probability": 0.4420166015625}, {"start": 1764.12, "end": 1764.38, "word": " that", "probability": 0.7783203125}, {"start": 1764.38, "end": 1764.48, "word": " ال", "probability": 0.9375}, {"start": 1764.48, "end": 1764.96, "word": " integration", "probability": 0.93212890625}, {"start": 1764.96, "end": 1765.18, "word": " من", "probability": 0.97412109375}, {"start": 1765.18, "end": 1765.48, "word": " واحد", "probability": 0.982421875}, {"start": 1765.48, "end": 1765.78, "word": " لعند", "probability": 0.8033854166666666}, {"start": 1765.78, "end": 1765.96, "word": " ان", "probability": 0.4248046875}, {"start": 1765.96, "end": 1766.26, "word": " واحد", "probability": 0.965087890625}, {"start": 1766.26, "end": 1766.44, "word": " على", "probability": 0.751953125}, {"start": 1766.44, "end": 1766.62, "word": " T", "probability": 0.9423828125}, {"start": 1766.62, "end": 1766.96, "word": " DT", "probability": 0.524169921875}, {"start": 1766.96, "end": 1767.16, "word": " ايش", "probability": 0.7322591145833334}, {"start": 1767.16, "end": 1767.7, "word": " بيساوي", "probability": 0.960546875}, {"start": 1767.7, "end": 1768.58, "word": " سهل", "probability": 0.974609375}, {"start": 1768.58, "end": 1769.12, "word": " ايجادها", "probability": 0.80341796875}, {"start": 1769.12, "end": 1769.44, "word": " كمان", "probability": 0.95458984375}, {"start": 1769.44, "end": 1769.78, "word": " عبارة", "probability": 0.988525390625}, {"start": 1769.78, "end": 1769.96, "word": " عن", "probability": 0.994140625}, {"start": 1769.96, "end": 1770.18, "word": " لن", "probability": 0.907470703125}, {"start": 1770.18, "end": 1770.54, "word": " الان", "probability": 0.822265625}, {"start": 1770.54, "end": 1770.92, "word": " ناقص", "probability": 0.9339599609375}, {"start": 1770.92, "end": 1771.18, "word": " لن", "probability": 0.9404296875}, {"start": 1771.18, "end": 1771.58, "word": " الواحد", "probability": 0.9833984375}, {"start": 1771.58, "end": 1771.82, "word": " لن", "probability": 0.813720703125}, {"start": 1771.82, "end": 1772.08, "word": " الواحد", "probability": 0.9365234375}, {"start": 1772.08, "end": 1772.34, "word": " سفر", "probability": 0.92724609375}, {"start": 1772.34, "end": 1772.5, "word": " يعني", "probability": 0.954345703125}, {"start": 1772.5, "end": 1772.78, "word": " بتبقى", "probability": 0.81689453125}, {"start": 1772.78, "end": 1773.02, "word": " عند", "probability": 0.27001953125}, {"start": 1773.02, "end": 1773.84, "word": " لن", "probability": 0.7529296875}, {"start": 1773.84, "end": 1774.28, "word": " الان", "probability": 0.967529296875}], "temperature": 1.0}, {"id": 81, "seek": 180220, "start": 1774.72, "end": 1802.2, "text": "لكن as n goes to infinity واضح إن هذا مباشرة هيروح إلى مالة نهاية يعني هذا عبارة عن diverse إذا صارت عندي الصممش للواحد الان diverse by integral test عندي طبعا ال b أشمال هنا بي أصغر أو تساوي الواحد الآن في حالة .. لا لا آسف ال b هنا بتساوي الواحد الآن بدنا نشوف مين إن هي الحالات التانية", "tokens": [1211, 19452, 382, 297, 1709, 281, 13202, 4032, 46958, 5016, 36145, 23758, 3714, 3555, 33599, 25720, 39896, 32887, 5016, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 37495, 22653, 23758, 6225, 3555, 9640, 3660, 18871, 9521, 11933, 15730, 20328, 9640, 2655, 18871, 16254, 31767, 2304, 2304, 8592, 24976, 14407, 24401, 2423, 7649, 9521, 538, 11573, 1500, 18871, 16254, 23032, 3555, 3615, 995, 2423, 272, 5551, 8592, 2304, 6027, 34105, 4724, 1829, 5551, 9381, 17082, 2288, 34051, 6055, 3794, 995, 45865, 2423, 14407, 24401, 6024, 48506, 8978, 11331, 6027, 3660, 4386, 20193, 20193, 19753, 3794, 5172, 2423, 272, 34105, 39894, 3794, 995, 45865, 2423, 14407, 24401, 6024, 48506, 47525, 8315, 8717, 8592, 38688, 3714, 9957, 36145, 39896, 21542, 6027, 9307, 16712, 7649, 10632], "avg_logprob": -0.25537911008615966, "compression_ratio": 1.8352941176470587, "no_speech_prob": 1.0192394256591797e-05, "words": [{"start": 1774.72, "end": 1775.08, "word": "لكن", "probability": 0.724365234375}, {"start": 1775.08, "end": 1775.38, "word": " as", "probability": 0.591796875}, {"start": 1775.38, "end": 1775.56, "word": " n", "probability": 0.71142578125}, {"start": 1775.56, "end": 1775.86, "word": " goes", "probability": 0.81591796875}, {"start": 1775.86, "end": 1776.08, "word": " to", "probability": 0.95166015625}, {"start": 1776.08, "end": 1776.58, "word": " infinity", "probability": 0.859375}, {"start": 1776.58, "end": 1777.22, "word": " واضح", "probability": 0.9036458333333334}, {"start": 1777.22, "end": 1777.5, "word": " إن", "probability": 0.28564453125}, {"start": 1777.5, "end": 1777.88, "word": " هذا", "probability": 0.72412109375}, {"start": 1777.88, "end": 1778.5, "word": " مباشرة", "probability": 0.82861328125}, {"start": 1778.5, "end": 1778.88, "word": " هيروح", "probability": 0.8401692708333334}, {"start": 1778.88, "end": 1779.04, "word": " إلى", "probability": 0.89794921875}, {"start": 1779.04, "end": 1779.32, "word": " مالة", "probability": 0.6058756510416666}, {"start": 1779.32, "end": 1779.7, "word": " نهاية", "probability": 0.9524739583333334}, {"start": 1779.7, "end": 1780.4, "word": " يعني", "probability": 0.85302734375}, {"start": 1780.4, "end": 1781.02, "word": " هذا", "probability": 0.92236328125}, {"start": 1781.02, "end": 1781.68, "word": " عبارة", "probability": 0.99755859375}, {"start": 1781.68, "end": 1781.88, "word": " عن", "probability": 0.9931640625}, {"start": 1781.88, "end": 1782.34, "word": " diverse", "probability": 0.66796875}, {"start": 1782.34, "end": 1783.4, "word": " إذا", "probability": 0.8115234375}, {"start": 1783.4, "end": 1783.86, "word": " صارت", "probability": 0.9078776041666666}, {"start": 1783.86, "end": 1784.1, "word": " عندي", "probability": 0.7325439453125}, {"start": 1784.1, "end": 1785.02, "word": " الصممش", "probability": 0.68829345703125}, {"start": 1785.02, "end": 1785.48, "word": " للواحد", "probability": 0.7920735677083334}, {"start": 1785.48, "end": 1785.8, "word": " الان", "probability": 0.4490966796875}, {"start": 1785.8, "end": 1786.36, "word": " diverse", "probability": 0.443115234375}, {"start": 1786.36, "end": 1786.66, "word": " by", "probability": 0.923828125}, {"start": 1786.66, "end": 1787.14, "word": " integral", "probability": 0.64111328125}, {"start": 1787.14, "end": 1787.62, "word": " test", "probability": 0.8798828125}, {"start": 1787.62, "end": 1788.5, "word": " عندي", "probability": 0.818359375}, {"start": 1788.5, "end": 1788.86, "word": " طبعا", "probability": 0.925537109375}, {"start": 1788.86, "end": 1789.04, "word": " ال", "probability": 0.8798828125}, {"start": 1789.04, "end": 1789.2, "word": " b", "probability": 0.1844482421875}, {"start": 1789.2, "end": 1789.74, "word": " أشمال", "probability": 0.807373046875}, {"start": 1789.74, "end": 1790.1, "word": " هنا", "probability": 0.47607421875}, {"start": 1790.1, "end": 1790.88, "word": " بي", "probability": 0.713134765625}, {"start": 1790.88, "end": 1791.9, "word": " أصغر", "probability": 0.976318359375}, {"start": 1791.9, "end": 1792.32, "word": " أو", "probability": 0.91796875}, {"start": 1792.32, "end": 1792.96, "word": " تساوي", "probability": 0.9549560546875}, {"start": 1792.96, "end": 1794.0, "word": " الواحد", "probability": 0.9661458333333334}, {"start": 1794.0, "end": 1794.94, "word": " الآن", "probability": 0.64501953125}, {"start": 1794.94, "end": 1795.1, "word": " في", "probability": 0.65478515625}, {"start": 1795.1, "end": 1795.36, "word": " حالة", "probability": 0.7706705729166666}, {"start": 1795.36, "end": 1795.44, "word": " ..", "probability": 0.391845703125}, {"start": 1795.44, "end": 1795.54, "word": " لا", "probability": 0.45458984375}, {"start": 1795.54, "end": 1795.66, "word": " لا", "probability": 0.418701171875}, {"start": 1795.66, "end": 1796.04, "word": " آسف", "probability": 0.7779134114583334}, {"start": 1796.04, "end": 1796.76, "word": " ال", "probability": 0.87646484375}, {"start": 1796.76, "end": 1796.98, "word": " b", "probability": 0.50146484375}, {"start": 1796.98, "end": 1797.2, "word": " هنا", "probability": 0.94091796875}, {"start": 1797.2, "end": 1797.84, "word": " بتساوي", "probability": 0.973876953125}, {"start": 1797.84, "end": 1798.56, "word": " الواحد", "probability": 0.9899088541666666}, {"start": 1798.56, "end": 1799.4, "word": " الآن", "probability": 0.845947265625}, {"start": 1799.4, "end": 1799.7, "word": " بدنا", "probability": 0.83837890625}, {"start": 1799.7, "end": 1800.04, "word": " نشوف", "probability": 0.998046875}, {"start": 1800.04, "end": 1800.5, "word": " مين", "probability": 0.919677734375}, {"start": 1800.5, "end": 1801.08, "word": " إن", "probability": 0.374267578125}, {"start": 1801.08, "end": 1801.26, "word": " هي", "probability": 0.7958984375}, {"start": 1801.26, "end": 1801.72, "word": " الحالات", "probability": 0.8406575520833334}, {"start": 1801.72, "end": 1802.2, "word": " التانية", "probability": 0.9088541666666666}], "temperature": 1.0}, {"id": 82, "seek": 183186, "start": 1804.44, "end": 1831.86, "text": "لو جينا ال integration احنا اثبتنا لمين لـ B بتساوي واحد الان also recall that ال integration واحد على T قص بي دي T من واحد لعند مين واحد لعند انا بنفضل عندنا ال بي اشمال هنا لاتساوي واحد كملة الآن بيصير واحد على واحد minus بي انقص واحد على minus بي ناقص واحد بعد ما عوضنا الان هذه", "tokens": [1211, 2407, 10874, 1829, 8315, 2423, 10980, 1975, 5016, 8315, 1975, 12984, 3555, 2655, 8315, 32767, 9957, 5296, 39184, 363, 39894, 3794, 995, 45865, 36764, 24401, 2423, 7649, 611, 9901, 300, 2423, 10980, 36764, 24401, 15844, 314, 12174, 9381, 4724, 1829, 11778, 1829, 314, 9154, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 36764, 24401, 5296, 3615, 41260, 1975, 8315, 44945, 5172, 11242, 1211, 43242, 8315, 2423, 4724, 1829, 1975, 8592, 2304, 6027, 34105, 5296, 9307, 3794, 995, 45865, 36764, 24401, 9122, 2304, 37977, 6024, 48506, 4724, 1829, 9381, 13546, 36764, 24401, 15844, 36764, 24401, 3175, 4724, 1829, 16472, 4587, 9381, 36764, 24401, 15844, 3175, 4724, 1829, 8717, 995, 4587, 9381, 36764, 24401, 39182, 19446, 6225, 2407, 11242, 8315, 2423, 7649, 29538], "avg_logprob": -0.27126023173332214, "compression_ratio": 2.022222222222222, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 1804.44, "end": 1804.9, "word": "لو", "probability": 0.81884765625}, {"start": 1804.9, "end": 1805.4, "word": " جينا", "probability": 0.9246419270833334}, {"start": 1805.4, "end": 1805.9, "word": " ال", "probability": 0.9736328125}, {"start": 1805.9, "end": 1806.42, "word": " integration", "probability": 0.88232421875}, {"start": 1806.42, "end": 1807.14, "word": " احنا", "probability": 0.6461588541666666}, {"start": 1807.14, "end": 1807.64, "word": " اثبتنا", "probability": 0.91279296875}, {"start": 1807.64, "end": 1808.14, "word": " لمين", "probability": 0.78271484375}, {"start": 1808.14, "end": 1808.94, "word": " لـ", "probability": 0.44873046875}, {"start": 1808.94, "end": 1809.06, "word": " B", "probability": 0.35107421875}, {"start": 1809.06, "end": 1809.9, "word": " بتساوي", "probability": 0.77587890625}, {"start": 1809.9, "end": 1810.44, "word": " واحد", "probability": 0.7744140625}, {"start": 1810.44, "end": 1811.36, "word": " الان", "probability": 0.78955078125}, {"start": 1811.36, "end": 1811.98, "word": " also", "probability": 0.340087890625}, {"start": 1811.98, "end": 1812.56, "word": " recall", "probability": 0.2017822265625}, {"start": 1812.56, "end": 1813.04, "word": " that", "probability": 0.71826171875}, {"start": 1813.04, "end": 1813.34, "word": " ال", "probability": 0.970703125}, {"start": 1813.34, "end": 1813.84, "word": " integration", "probability": 0.9462890625}, {"start": 1813.84, "end": 1814.32, "word": " واحد", "probability": 0.932861328125}, {"start": 1814.32, "end": 1814.48, "word": " على", "probability": 0.65869140625}, {"start": 1814.48, "end": 1814.72, "word": " T", "probability": 0.71826171875}, {"start": 1814.72, "end": 1814.94, "word": " قص", "probability": 0.56640625}, {"start": 1814.94, "end": 1815.34, "word": " بي", "probability": 0.5828857421875}, {"start": 1815.34, "end": 1816.04, "word": " دي", "probability": 0.801025390625}, {"start": 1816.04, "end": 1816.22, "word": " T", "probability": 0.63720703125}, {"start": 1816.22, "end": 1816.4, "word": " من", "probability": 0.98583984375}, {"start": 1816.4, "end": 1816.78, "word": " واحد", "probability": 0.98828125}, {"start": 1816.78, "end": 1817.16, "word": " لعند", "probability": 0.8990885416666666}, {"start": 1817.16, "end": 1817.56, "word": " مين", "probability": 0.849853515625}, {"start": 1817.56, "end": 1818.28, "word": " واحد", "probability": 0.89453125}, {"start": 1818.28, "end": 1818.6, "word": " لعند", "probability": 0.9534505208333334}, {"start": 1818.6, "end": 1818.82, "word": " انا", "probability": 0.55926513671875}, {"start": 1818.82, "end": 1819.38, "word": " بنفضل", "probability": 0.759033203125}, {"start": 1819.38, "end": 1819.92, "word": " عندنا", "probability": 0.772216796875}, {"start": 1819.92, "end": 1820.0, "word": " ال", "probability": 0.6767578125}, {"start": 1820.0, "end": 1820.22, "word": " بي", "probability": 0.669189453125}, {"start": 1820.22, "end": 1820.66, "word": " اشمال", "probability": 0.8095703125}, {"start": 1820.66, "end": 1821.12, "word": " هنا", "probability": 0.361083984375}, {"start": 1821.12, "end": 1822.7, "word": " لاتساوي", "probability": 0.834375}, {"start": 1822.7, "end": 1823.16, "word": " واحد", "probability": 0.992431640625}, {"start": 1823.16, "end": 1824.04, "word": " كملة", "probability": 0.6861979166666666}, {"start": 1824.04, "end": 1824.46, "word": " الآن", "probability": 0.704345703125}, {"start": 1824.46, "end": 1824.84, "word": " بيصير", "probability": 0.812255859375}, {"start": 1824.84, "end": 1825.22, "word": " واحد", "probability": 0.985595703125}, {"start": 1825.22, "end": 1825.4, "word": " على", "probability": 0.67724609375}, {"start": 1825.4, "end": 1825.72, "word": " واحد", "probability": 0.991943359375}, {"start": 1825.72, "end": 1826.04, "word": " minus", "probability": 0.8857421875}, {"start": 1826.04, "end": 1826.52, "word": " بي", "probability": 0.77685546875}, {"start": 1826.52, "end": 1826.96, "word": " انقص", "probability": 0.8038736979166666}, {"start": 1826.96, "end": 1827.26, "word": " واحد", "probability": 0.990478515625}, {"start": 1827.26, "end": 1827.42, "word": " على", "probability": 0.751953125}, {"start": 1827.42, "end": 1827.9, "word": " minus", "probability": 0.69091796875}, {"start": 1827.9, "end": 1828.48, "word": " بي", "probability": 0.951416015625}, {"start": 1828.48, "end": 1829.18, "word": " ناقص", "probability": 0.9674072265625}, {"start": 1829.18, "end": 1829.52, "word": " واحد", "probability": 0.995849609375}, {"start": 1829.52, "end": 1829.8, "word": " بعد", "probability": 0.98095703125}, {"start": 1829.8, "end": 1829.96, "word": " ما", "probability": 0.4814453125}, {"start": 1829.96, "end": 1830.48, "word": " عوضنا", "probability": 0.948974609375}, {"start": 1830.48, "end": 1831.48, "word": " الان", "probability": 0.822021484375}, {"start": 1831.48, "end": 1831.86, "word": " هذه", "probability": 0.65185546875}], "temperature": 1.0}, {"id": 83, "seek": 185382, "start": 1834.86, "end": 1853.82, "text": "as n goes to infinity وكانت ال b أكبر من واحد إذا ال b أكبر من واحد إذا ال b أكبر من واحد وودينا n إلى ما لا نهاية هذا سيصبح عبارة عن سفر وهذا عبارة عن ناقص واحد", "tokens": [296, 297, 1709, 281, 13202, 4032, 41361, 2655, 2423, 272, 5551, 4117, 26890, 9154, 36764, 24401, 11933, 15730, 2423, 272, 5551, 4117, 26890, 9154, 36764, 24401, 11933, 15730, 2423, 272, 5551, 4117, 26890, 9154, 36764, 24401, 4032, 2407, 16254, 8315, 297, 30731, 19446, 20193, 8717, 11296, 10632, 23758, 8608, 1829, 9381, 49628, 6225, 3555, 9640, 3660, 18871, 8608, 5172, 2288, 37037, 15730, 6225, 3555, 9640, 3660, 18871, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.23838682633799477, "compression_ratio": 1.8263888888888888, "no_speech_prob": 3.123283386230469e-05, "words": [{"start": 1834.86, "end": 1835.58, "word": "as", "probability": 0.5419921875}, {"start": 1835.58, "end": 1835.78, "word": " n", "probability": 0.62939453125}, {"start": 1835.78, "end": 1836.06, "word": " goes", "probability": 0.85009765625}, {"start": 1836.06, "end": 1836.24, "word": " to", "probability": 0.94873046875}, {"start": 1836.24, "end": 1838.18, "word": " infinity", "probability": 0.87548828125}, {"start": 1838.18, "end": 1839.5, "word": " وكانت", "probability": 0.7267252604166666}, {"start": 1839.5, "end": 1839.74, "word": " ال", "probability": 0.83642578125}, {"start": 1839.74, "end": 1840.1, "word": " b", "probability": 0.32763671875}, {"start": 1840.1, "end": 1840.84, "word": " أكبر", "probability": 0.9365234375}, {"start": 1840.84, "end": 1841.06, "word": " من", "probability": 0.9873046875}, {"start": 1841.06, "end": 1841.64, "word": " واحد", "probability": 0.7310791015625}, {"start": 1841.64, "end": 1841.96, "word": " إذا", "probability": 0.5721435546875}, {"start": 1841.96, "end": 1842.36, "word": " ال", "probability": 0.83447265625}, {"start": 1842.36, "end": 1842.48, "word": " b", "probability": 0.8388671875}, {"start": 1842.48, "end": 1842.78, "word": " أكبر", "probability": 0.978515625}, {"start": 1842.78, "end": 1842.94, "word": " من", "probability": 0.9912109375}, {"start": 1842.94, "end": 1843.42, "word": " واحد", "probability": 0.989501953125}, {"start": 1843.42, "end": 1844.1, "word": " إذا", "probability": 0.5601806640625}, {"start": 1844.1, "end": 1844.2, "word": " ال", "probability": 0.99169921875}, {"start": 1844.2, "end": 1844.3, "word": " b", "probability": 0.9306640625}, {"start": 1844.3, "end": 1844.62, "word": " أكبر", "probability": 0.9851888020833334}, {"start": 1844.62, "end": 1844.76, "word": " من", "probability": 0.99462890625}, {"start": 1844.76, "end": 1845.28, "word": " واحد", "probability": 0.99365234375}, {"start": 1845.28, "end": 1846.34, "word": " وودينا", "probability": 0.82733154296875}, {"start": 1846.34, "end": 1846.52, "word": " n", "probability": 0.75390625}, {"start": 1846.52, "end": 1846.72, "word": " إلى", "probability": 0.89501953125}, {"start": 1846.72, "end": 1846.92, "word": " ما", "probability": 0.320556640625}, {"start": 1846.92, "end": 1847.0, "word": " لا", "probability": 0.89013671875}, {"start": 1847.0, "end": 1847.62, "word": " نهاية", "probability": 0.9383138020833334}, {"start": 1847.62, "end": 1848.38, "word": " هذا", "probability": 0.475830078125}, {"start": 1848.38, "end": 1848.98, "word": " سيصبح", "probability": 0.67529296875}, {"start": 1848.98, "end": 1849.72, "word": " عبارة", "probability": 0.952392578125}, {"start": 1849.72, "end": 1850.04, "word": " عن", "probability": 0.9970703125}, {"start": 1850.04, "end": 1850.66, "word": " سفر", "probability": 0.8191731770833334}, {"start": 1850.66, "end": 1851.94, "word": " وهذا", "probability": 0.4200439453125}, {"start": 1851.94, "end": 1852.4, "word": " عبارة", "probability": 0.9530029296875}, {"start": 1852.4, "end": 1852.68, "word": " عن", "probability": 0.98779296875}, {"start": 1852.68, "end": 1853.28, "word": " ناقص", "probability": 0.9326171875}, {"start": 1853.28, "end": 1853.82, "word": " واحد", "probability": 0.976806640625}], "temperature": 1.0}, {"id": 84, "seek": 188146, "start": 1854.44, "end": 1881.46, "text": "يعني ال limit هذه as n goes to infinity في حالة ال B أكبر من واحد هتصير هذه عبارة عن ناقص واحد في هذه بيصير واحد على B minus واحد هذا في حالة ال B أكبر من واحد إذا صارت اللي هي ال integration هذا converge وبناء عليه هتكون ال B series في حالة ال B أكبر من واحد by integral test برضه أيهاش converge لكن لو كانت ال B أصغر من واحد", "tokens": [40228, 22653, 2423, 4948, 29538, 382, 297, 1709, 281, 13202, 8978, 11331, 6027, 3660, 2423, 363, 5551, 4117, 26890, 9154, 36764, 24401, 8032, 2655, 9381, 13546, 29538, 6225, 3555, 9640, 3660, 18871, 8717, 995, 4587, 9381, 36764, 24401, 8978, 29538, 4724, 1829, 9381, 13546, 36764, 24401, 15844, 363, 3175, 36764, 24401, 23758, 8978, 11331, 6027, 3660, 2423, 363, 5551, 4117, 26890, 9154, 36764, 24401, 11933, 15730, 20328, 9640, 2655, 13672, 1829, 39896, 2423, 10980, 23758, 41881, 46599, 1863, 16606, 47356, 8032, 2655, 30544, 2423, 363, 2638, 8978, 11331, 6027, 3660, 2423, 363, 5551, 4117, 26890, 9154, 36764, 24401, 538, 11573, 1500, 4724, 43042, 3224, 36632, 3224, 33599, 41881, 44381, 45164, 25961, 2655, 2423, 363, 5551, 9381, 17082, 2288, 9154, 36764, 24401], "avg_logprob": -0.1458760265444146, "compression_ratio": 2.032520325203252, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1854.44, "end": 1854.76, "word": "يعني", "probability": 0.90087890625}, {"start": 1854.76, "end": 1854.88, "word": " ال", "probability": 0.69091796875}, {"start": 1854.88, "end": 1855.14, "word": " limit", "probability": 0.414306640625}, {"start": 1855.14, "end": 1855.46, "word": " هذه", "probability": 0.66796875}, {"start": 1855.46, "end": 1855.7, "word": " as", "probability": 0.84912109375}, {"start": 1855.7, "end": 1855.9, "word": " n", "probability": 0.7333984375}, {"start": 1855.9, "end": 1856.12, "word": " goes", "probability": 0.73876953125}, {"start": 1856.12, "end": 1856.24, "word": " to", "probability": 0.958984375}, {"start": 1856.24, "end": 1856.6, "word": " infinity", "probability": 0.890625}, {"start": 1856.6, "end": 1856.76, "word": " في", "probability": 0.81005859375}, {"start": 1856.76, "end": 1857.06, "word": " حالة", "probability": 0.9884440104166666}, {"start": 1857.06, "end": 1857.26, "word": " ال", "probability": 0.82421875}, {"start": 1857.26, "end": 1857.46, "word": " B", "probability": 0.322265625}, {"start": 1857.46, "end": 1858.06, "word": " أكبر", "probability": 0.9417317708333334}, {"start": 1858.06, "end": 1858.24, "word": " من", "probability": 0.9951171875}, {"start": 1858.24, "end": 1858.66, "word": " واحد", "probability": 0.754638671875}, {"start": 1858.66, "end": 1859.44, "word": " هتصير", "probability": 0.87353515625}, {"start": 1859.44, "end": 1859.66, "word": " هذه", "probability": 0.7880859375}, {"start": 1859.66, "end": 1860.06, "word": " عبارة", "probability": 0.994873046875}, {"start": 1860.06, "end": 1860.34, "word": " عن", "probability": 0.99169921875}, {"start": 1860.34, "end": 1860.9, "word": " ناقص", "probability": 0.961181640625}, {"start": 1860.9, "end": 1861.34, "word": " واحد", "probability": 0.985107421875}, {"start": 1861.34, "end": 1861.56, "word": " في", "probability": 0.69140625}, {"start": 1861.56, "end": 1861.92, "word": " هذه", "probability": 0.84814453125}, {"start": 1861.92, "end": 1862.66, "word": " بيصير", "probability": 0.7930908203125}, {"start": 1862.66, "end": 1862.98, "word": " واحد", "probability": 0.966064453125}, {"start": 1862.98, "end": 1863.12, "word": " على", "probability": 0.81640625}, {"start": 1863.12, "end": 1863.3, "word": " B", "probability": 0.529296875}, {"start": 1863.3, "end": 1863.58, "word": " minus", "probability": 0.266357421875}, {"start": 1863.58, "end": 1863.94, "word": " واحد", "probability": 0.9892578125}, {"start": 1863.94, "end": 1864.14, "word": " هذا", "probability": 0.479736328125}, {"start": 1864.14, "end": 1864.3, "word": " في", "probability": 0.955078125}, {"start": 1864.3, "end": 1864.72, "word": " حالة", "probability": 0.99609375}, {"start": 1864.72, "end": 1865.18, "word": " ال", "probability": 0.97998046875}, {"start": 1865.18, "end": 1865.38, "word": " B", "probability": 0.95849609375}, {"start": 1865.38, "end": 1866.04, "word": " أكبر", "probability": 0.9768880208333334}, {"start": 1866.04, "end": 1866.24, "word": " من", "probability": 0.99755859375}, {"start": 1866.24, "end": 1866.64, "word": " واحد", "probability": 0.99462890625}, {"start": 1866.64, "end": 1867.1, "word": " إذا", "probability": 0.716552734375}, {"start": 1867.1, "end": 1867.56, "word": " صارت", "probability": 0.9449869791666666}, {"start": 1867.56, "end": 1867.7, "word": " اللي", "probability": 0.943603515625}, {"start": 1867.7, "end": 1868.0, "word": " هي", "probability": 0.791015625}, {"start": 1868.0, "end": 1868.54, "word": " ال", "probability": 0.98583984375}, {"start": 1868.54, "end": 1869.06, "word": " integration", "probability": 0.97802734375}, {"start": 1869.06, "end": 1869.66, "word": " هذا", "probability": 0.65380859375}, {"start": 1869.66, "end": 1870.26, "word": " converge", "probability": 0.8837890625}, {"start": 1870.26, "end": 1870.92, "word": " وبناء", "probability": 0.7283528645833334}, {"start": 1870.92, "end": 1871.4, "word": " عليه", "probability": 0.9658203125}, {"start": 1871.4, "end": 1872.22, "word": " هتكون", "probability": 0.9329427083333334}, {"start": 1872.22, "end": 1872.4, "word": " ال", "probability": 0.97216796875}, {"start": 1872.4, "end": 1872.64, "word": " B", "probability": 0.9091796875}, {"start": 1872.64, "end": 1873.16, "word": " series", "probability": 0.76123046875}, {"start": 1873.16, "end": 1873.34, "word": " في", "probability": 0.9560546875}, {"start": 1873.34, "end": 1873.6, "word": " حالة", "probability": 0.9977213541666666}, {"start": 1873.6, "end": 1873.72, "word": " ال", "probability": 0.9296875}, {"start": 1873.72, "end": 1873.82, "word": " B", "probability": 0.96875}, {"start": 1873.82, "end": 1874.16, "word": " أكبر", "probability": 0.9781901041666666}, {"start": 1874.16, "end": 1874.32, "word": " من", "probability": 0.99658203125}, {"start": 1874.32, "end": 1874.78, "word": " واحد", "probability": 0.991943359375}, {"start": 1874.78, "end": 1875.28, "word": " by", "probability": 0.787109375}, {"start": 1875.28, "end": 1875.68, "word": " integral", "probability": 0.6591796875}, {"start": 1875.68, "end": 1876.18, "word": " test", "probability": 0.923828125}, {"start": 1876.18, "end": 1876.68, "word": " برضه", "probability": 0.9534505208333334}, {"start": 1876.68, "end": 1877.1, "word": " أيهاش", "probability": 0.601806640625}, {"start": 1877.1, "end": 1877.74, "word": " converge", "probability": 0.63330078125}, {"start": 1877.74, "end": 1878.42, "word": " لكن", "probability": 0.9365234375}, {"start": 1878.42, "end": 1878.7, "word": " لو", "probability": 0.99365234375}, {"start": 1878.7, "end": 1879.26, "word": " كانت", "probability": 0.98583984375}, {"start": 1879.26, "end": 1879.46, "word": " ال", "probability": 0.98583984375}, {"start": 1879.46, "end": 1879.88, "word": " B", "probability": 0.974609375}, {"start": 1879.88, "end": 1880.7, "word": " أصغر", "probability": 0.9952392578125}, {"start": 1880.7, "end": 1880.88, "word": " من", "probability": 0.998046875}, {"start": 1880.88, "end": 1881.46, "word": " واحد", "probability": 0.981689453125}], "temperature": 1.0}, {"id": 85, "seek": 191090, "start": 1882.0, "end": 1910.9, "text": "الان فبصير عندي هذا اللي هو بروح إلى مالة نهاية فبصير عندي لأن الـ B أصغر من واحد فبصير عندي ال integration هذا as N goes to infinity diverges و بناء عليه summation واحد على N B diverges هذا في حالة الـ B أشمالها أصغر من واحد و بكون هيك احنا استخدمنا ال .. ال .. ال B series في إثبات ال .. ال .. ال integral test في إثبات أنه ال B series converges", "tokens": [6027, 7649, 6156, 3555, 9381, 13546, 18871, 16254, 23758, 13672, 1829, 31439, 4724, 32887, 5016, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 6156, 3555, 9381, 13546, 18871, 16254, 5296, 33456, 2423, 39184, 363, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 6156, 3555, 9381, 13546, 18871, 16254, 2423, 10980, 23758, 382, 426, 1709, 281, 13202, 18558, 2880, 4032, 44945, 16606, 47356, 28811, 36764, 24401, 15844, 426, 363, 18558, 2880, 23758, 8978, 11331, 6027, 3660, 2423, 39184, 363, 5551, 8592, 2304, 6027, 11296, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 4032, 4724, 30544, 39896, 4117, 1975, 5016, 8315, 44713, 9778, 40448, 8315, 2423, 4386, 2423, 4386, 2423, 363, 2638, 8978, 11933, 12984, 3555, 9307, 2423, 4386, 2423, 4386, 2423, 11573, 1500, 8978, 11933, 12984, 3555, 9307, 14739, 3224, 2423, 363, 2638, 9652, 2880], "avg_logprob": -0.21010890772396867, "compression_ratio": 1.9622641509433962, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1882.0, "end": 1882.4, "word": "الان", "probability": 0.713134765625}, {"start": 1882.4, "end": 1882.98, "word": " فبصير", "probability": 0.8743896484375}, {"start": 1882.98, "end": 1883.3, "word": " عندي", "probability": 0.6319580078125}, {"start": 1883.3, "end": 1883.64, "word": " هذا", "probability": 0.89697265625}, {"start": 1883.64, "end": 1883.86, "word": " اللي", "probability": 0.928466796875}, {"start": 1883.86, "end": 1884.06, "word": " هو", "probability": 0.958984375}, {"start": 1884.06, "end": 1884.46, "word": " بروح", "probability": 0.9759114583333334}, {"start": 1884.46, "end": 1884.66, "word": " إلى", "probability": 0.732421875}, {"start": 1884.66, "end": 1884.92, "word": " مالة", "probability": 0.79541015625}, {"start": 1884.92, "end": 1885.48, "word": " نهاية", "probability": 0.9069010416666666}, {"start": 1885.48, "end": 1886.28, "word": " فبصير", "probability": 0.9637451171875}, {"start": 1886.28, "end": 1886.54, "word": " عندي", "probability": 0.94775390625}, {"start": 1886.54, "end": 1886.72, "word": " لأن", "probability": 0.78955078125}, {"start": 1886.72, "end": 1886.88, "word": " الـ", "probability": 0.61767578125}, {"start": 1886.88, "end": 1886.92, "word": " B", "probability": 0.41455078125}, {"start": 1886.92, "end": 1887.24, "word": " أصغر", "probability": 0.98974609375}, {"start": 1887.24, "end": 1887.36, "word": " من", "probability": 0.994140625}, {"start": 1887.36, "end": 1887.78, "word": " واحد", "probability": 0.864013671875}, {"start": 1887.78, "end": 1888.62, "word": " فبصير", "probability": 0.9786376953125}, {"start": 1888.62, "end": 1889.0, "word": " عندي", "probability": 0.969482421875}, {"start": 1889.0, "end": 1889.26, "word": " ال", "probability": 0.99462890625}, {"start": 1889.26, "end": 1889.9, "word": " integration", "probability": 0.8544921875}, {"start": 1889.9, "end": 1890.98, "word": " هذا", "probability": 0.80078125}, {"start": 1890.98, "end": 1891.46, "word": " as", "probability": 0.822265625}, {"start": 1891.46, "end": 1891.66, "word": " N", "probability": 0.54248046875}, {"start": 1891.66, "end": 1891.86, "word": " goes", "probability": 0.6318359375}, {"start": 1891.86, "end": 1891.98, "word": " to", "probability": 0.951171875}, {"start": 1891.98, "end": 1892.36, "word": " infinity", "probability": 0.77587890625}, {"start": 1892.36, "end": 1893.12, "word": " diverges", "probability": 0.5843505859375}, {"start": 1893.12, "end": 1893.5, "word": " و", "probability": 0.52294921875}, {"start": 1893.5, "end": 1893.88, "word": " بناء", "probability": 0.8134765625}, {"start": 1893.88, "end": 1894.24, "word": " عليه", "probability": 0.94970703125}, {"start": 1894.24, "end": 1894.68, "word": " summation", "probability": 0.70654296875}, {"start": 1894.68, "end": 1895.12, "word": " واحد", "probability": 0.743896484375}, {"start": 1895.12, "end": 1895.32, "word": " على", "probability": 0.70947265625}, {"start": 1895.32, "end": 1895.6, "word": " N", "probability": 0.8505859375}, {"start": 1895.6, "end": 1895.9, "word": " B", "probability": 0.32421875}, {"start": 1895.9, "end": 1896.96, "word": " diverges", "probability": 0.617919921875}, {"start": 1896.96, "end": 1897.2, "word": " هذا", "probability": 0.849609375}, {"start": 1897.2, "end": 1897.4, "word": " في", "probability": 0.9326171875}, {"start": 1897.4, "end": 1897.88, "word": " حالة", "probability": 0.9978841145833334}, {"start": 1897.88, "end": 1898.08, "word": " الـ", "probability": 0.896240234375}, {"start": 1898.08, "end": 1898.28, "word": " B", "probability": 0.8046875}, {"start": 1898.28, "end": 1899.08, "word": " أشمالها", "probability": 0.795361328125}, {"start": 1899.08, "end": 1899.98, "word": " أصغر", "probability": 0.9927978515625}, {"start": 1899.98, "end": 1900.14, "word": " من", "probability": 0.99755859375}, {"start": 1900.14, "end": 1900.62, "word": " واحد", "probability": 0.9921875}, {"start": 1900.62, "end": 1900.96, "word": " و", "probability": 0.68115234375}, {"start": 1900.96, "end": 1901.28, "word": " بكون", "probability": 0.7509765625}, {"start": 1901.28, "end": 1901.64, "word": " هيك", "probability": 0.90966796875}, {"start": 1901.64, "end": 1902.06, "word": " احنا", "probability": 0.8343098958333334}, {"start": 1902.06, "end": 1903.18, "word": " استخدمنا", "probability": 0.96240234375}, {"start": 1903.18, "end": 1903.56, "word": " ال", "probability": 0.99169921875}, {"start": 1903.56, "end": 1903.6, "word": " ..", "probability": 0.408447265625}, {"start": 1903.6, "end": 1903.94, "word": " ال", "probability": 0.98046875}, {"start": 1903.94, "end": 1904.12, "word": " ..", "probability": 0.42333984375}, {"start": 1904.12, "end": 1904.12, "word": " ال", "probability": 0.80810546875}, {"start": 1904.12, "end": 1904.16, "word": " B", "probability": 0.578125}, {"start": 1904.16, "end": 1904.8, "word": " series", "probability": 0.50244140625}, {"start": 1904.8, "end": 1905.08, "word": " في", "probability": 0.87939453125}, {"start": 1905.08, "end": 1905.62, "word": " إثبات", "probability": 0.845947265625}, {"start": 1905.62, "end": 1905.86, "word": " ال", "probability": 0.8740234375}, {"start": 1905.86, "end": 1905.88, "word": " ..", "probability": 0.97021484375}, {"start": 1905.88, "end": 1906.22, "word": " ال", "probability": 0.99267578125}, {"start": 1906.22, "end": 1906.22, "word": " ..", "probability": 0.85498046875}, {"start": 1906.22, "end": 1906.44, "word": " ال", "probability": 0.97412109375}, {"start": 1906.44, "end": 1906.7, "word": " integral", "probability": 0.30224609375}, {"start": 1906.7, "end": 1907.12, "word": " test", "probability": 0.89453125}, {"start": 1907.12, "end": 1907.28, "word": " في", "probability": 0.94921875}, {"start": 1907.28, "end": 1907.8, "word": " إثبات", "probability": 0.9903564453125}, {"start": 1907.8, "end": 1908.6, "word": " أنه", "probability": 0.5751953125}, {"start": 1908.6, "end": 1908.84, "word": " ال", "probability": 0.99267578125}, {"start": 1908.84, "end": 1909.04, "word": " B", "probability": 0.49951171875}, {"start": 1909.04, "end": 1909.62, "word": " series", "probability": 0.85107421875}, {"start": 1909.62, "end": 1910.9, "word": " converges", "probability": 0.78564453125}], "temperature": 1.0}, {"id": 86, "seek": 193473, "start": 1911.07, "end": 1934.73, "text": "for b أكبر من واحد and diverges for b أيش ما لها أصغر أو يساوي واحد وهذه اللي هي انتوا عارفينها الـB Series المشهورة نيجي الآن بدنا نحكي عن اللي هو رقاب test أحيانا اللي هو مدامة اللي هو ال ratio test", "tokens": [2994, 272, 5551, 4117, 26890, 9154, 36764, 24401, 293, 18558, 2880, 337, 272, 36632, 8592, 19446, 5296, 11296, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 36764, 24401, 37037, 24192, 13672, 1829, 39896, 16472, 2655, 14407, 6225, 9640, 5172, 9957, 11296, 2423, 39184, 33, 13934, 9673, 8592, 3224, 13063, 3660, 8717, 1829, 7435, 1829, 6024, 48506, 47525, 8315, 8717, 5016, 4117, 1829, 18871, 13672, 1829, 31439, 12602, 4587, 16758, 1500, 5551, 5016, 1829, 7649, 995, 13672, 1829, 31439, 3714, 3215, 10943, 3660, 13672, 1829, 31439, 2423, 8509, 1500], "avg_logprob": -0.21753471824857923, "compression_ratio": 1.592039800995025, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1911.07, "end": 1911.69, "word": "for", "probability": 0.58984375}, {"start": 1911.69, "end": 1912.63, "word": " b", "probability": 0.405029296875}, {"start": 1912.63, "end": 1913.03, "word": " أكبر", "probability": 0.90283203125}, {"start": 1913.03, "end": 1913.21, "word": " من", "probability": 0.986328125}, {"start": 1913.21, "end": 1913.71, "word": " واحد", "probability": 0.779052734375}, {"start": 1913.71, "end": 1914.47, "word": " and", "probability": 0.82080078125}, {"start": 1914.47, "end": 1915.71, "word": " diverges", "probability": 0.85546875}, {"start": 1915.71, "end": 1916.07, "word": " for", "probability": 0.84765625}, {"start": 1916.07, "end": 1916.45, "word": " b", "probability": 0.88818359375}, {"start": 1916.45, "end": 1916.81, "word": " أيش", "probability": 0.5}, {"start": 1916.81, "end": 1916.95, "word": " ما", "probability": 0.9365234375}, {"start": 1916.95, "end": 1917.39, "word": " لها", "probability": 0.89404296875}, {"start": 1917.39, "end": 1918.49, "word": " أصغر", "probability": 0.9730224609375}, {"start": 1918.49, "end": 1918.83, "word": " أو", "probability": 0.87451171875}, {"start": 1918.83, "end": 1919.61, "word": " يساوي", "probability": 0.9642333984375}, {"start": 1919.61, "end": 1920.61, "word": " واحد", "probability": 0.95751953125}, {"start": 1920.61, "end": 1921.13, "word": " وهذه", "probability": 0.726318359375}, {"start": 1921.13, "end": 1921.27, "word": " اللي", "probability": 0.77734375}, {"start": 1921.27, "end": 1921.59, "word": " هي", "probability": 0.301025390625}, {"start": 1921.59, "end": 1921.95, "word": " انتوا", "probability": 0.6845703125}, {"start": 1921.95, "end": 1922.57, "word": " عارفينها", "probability": 0.97861328125}, {"start": 1922.57, "end": 1923.29, "word": " الـB", "probability": 0.6181640625}, {"start": 1923.29, "end": 1923.87, "word": " Series", "probability": 0.384765625}, {"start": 1923.87, "end": 1924.77, "word": " المشهورة", "probability": 0.99365234375}, {"start": 1924.77, "end": 1925.59, "word": " نيجي", "probability": 0.78118896484375}, {"start": 1925.59, "end": 1926.03, "word": " الآن", "probability": 0.7147216796875}, {"start": 1926.03, "end": 1926.89, "word": " بدنا", "probability": 0.648193359375}, {"start": 1926.89, "end": 1927.31, "word": " نحكي", "probability": 0.99462890625}, {"start": 1927.31, "end": 1927.55, "word": " عن", "probability": 0.9833984375}, {"start": 1927.55, "end": 1928.13, "word": " اللي", "probability": 0.901611328125}, {"start": 1928.13, "end": 1928.35, "word": " هو", "probability": 0.97119140625}, {"start": 1928.35, "end": 1928.89, "word": " رقاب", "probability": 0.7460123697916666}, {"start": 1928.89, "end": 1929.43, "word": " test", "probability": 0.199462890625}, {"start": 1929.43, "end": 1930.79, "word": " أحيانا", "probability": 0.9419921875}, {"start": 1930.79, "end": 1931.03, "word": " اللي", "probability": 0.932861328125}, {"start": 1931.03, "end": 1931.41, "word": " هو", "probability": 0.97607421875}, {"start": 1931.41, "end": 1932.41, "word": " مدامة", "probability": 0.842041015625}, {"start": 1932.41, "end": 1932.59, "word": " اللي", "probability": 0.937255859375}, {"start": 1932.59, "end": 1932.99, "word": " هو", "probability": 0.98095703125}, {"start": 1932.99, "end": 1933.57, "word": " ال", "probability": 0.884765625}, {"start": 1933.57, "end": 1934.15, "word": " ratio", "probability": 0.95556640625}, {"start": 1934.15, "end": 1934.73, "word": " test", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 87, "seek": 195932, "start": 1935.6, "end": 1959.32, "text": "اللي هو fails في حالة ال limit يطلع لنا واحد أو سوى واحد فبدنا إيش يخلّينا نقول يحللنا مشكلة اللي هو ال failure for .. for .. for اللي هو ظهور ال limit بساوة واحد هنا عندي رقابس test بتعالج الأمر fx بساوة xn is a sequence of non-zero elements", "tokens": [6027, 20292, 31439, 18199, 8978, 11331, 6027, 3660, 2423, 4948, 7251, 9566, 1211, 3615, 5296, 8315, 36764, 24401, 34051, 8608, 2407, 7578, 36764, 24401, 6156, 44510, 8315, 11933, 1829, 8592, 7251, 9778, 1211, 11703, 9957, 995, 8717, 39648, 7251, 5016, 1211, 1211, 8315, 37893, 28820, 3660, 13672, 1829, 31439, 2423, 7763, 337, 4386, 337, 4386, 337, 13672, 1829, 31439, 1357, 116, 3224, 13063, 2423, 4948, 4724, 3794, 995, 2407, 3660, 36764, 24401, 34105, 18871, 16254, 12602, 4587, 16758, 3794, 1500, 39894, 3615, 6027, 7435, 16247, 29973, 283, 87, 4724, 3794, 995, 2407, 3660, 2031, 77, 307, 257, 8310, 295, 2107, 12, 32226, 4959], "avg_logprob": -0.2743389391555236, "compression_ratio": 1.65, "no_speech_prob": 1.3470649719238281e-05, "words": [{"start": 1935.6000000000001, "end": 1936.44, "word": "اللي", "probability": 0.69677734375}, {"start": 1936.44, "end": 1936.66, "word": " هو", "probability": 0.9345703125}, {"start": 1936.66, "end": 1937.18, "word": " fails", "probability": 0.262451171875}, {"start": 1937.18, "end": 1937.54, "word": " في", "probability": 0.84033203125}, {"start": 1937.54, "end": 1937.88, "word": " حالة", "probability": 0.99365234375}, {"start": 1937.88, "end": 1937.98, "word": " ال", "probability": 0.8203125}, {"start": 1937.98, "end": 1938.18, "word": " limit", "probability": 0.6513671875}, {"start": 1938.18, "end": 1938.56, "word": " يطلع", "probability": 0.8675537109375}, {"start": 1938.56, "end": 1938.76, "word": " لنا", "probability": 0.8134765625}, {"start": 1938.76, "end": 1939.2, "word": " واحد", "probability": 0.7125244140625}, {"start": 1939.2, "end": 1939.42, "word": " أو", "probability": 0.76123046875}, {"start": 1939.42, "end": 1939.7, "word": " سوى", "probability": 0.5313313802083334}, {"start": 1939.7, "end": 1940.14, "word": " واحد", "probability": 0.978271484375}, {"start": 1940.14, "end": 1941.08, "word": " فبدنا", "probability": 0.8699544270833334}, {"start": 1941.08, "end": 1941.38, "word": " إيش", "probability": 0.6224772135416666}, {"start": 1941.38, "end": 1942.04, "word": " يخلّينا", "probability": 0.6984049479166666}, {"start": 1942.04, "end": 1942.56, "word": " نقول", "probability": 0.986328125}, {"start": 1942.56, "end": 1944.38, "word": " يحللنا", "probability": 0.91845703125}, {"start": 1944.38, "end": 1945.18, "word": " مشكلة", "probability": 0.9684244791666666}, {"start": 1945.18, "end": 1945.38, "word": " اللي", "probability": 0.92529296875}, {"start": 1945.38, "end": 1945.64, "word": " هو", "probability": 0.9580078125}, {"start": 1945.64, "end": 1945.84, "word": " ال", "probability": 0.7392578125}, {"start": 1945.84, "end": 1946.26, "word": " failure", "probability": 0.58837890625}, {"start": 1946.26, "end": 1946.68, "word": " for", "probability": 0.69873046875}, {"start": 1946.68, "end": 1946.68, "word": " ..", "probability": 0.2705078125}, {"start": 1946.68, "end": 1947.44, "word": " for", "probability": 0.8046875}, {"start": 1947.44, "end": 1947.44, "word": " ..", "probability": 0.65966796875}, {"start": 1947.44, "end": 1947.98, "word": " for", "probability": 0.62744140625}, {"start": 1947.98, "end": 1948.34, "word": " اللي", "probability": 0.94384765625}, {"start": 1948.34, "end": 1948.7, "word": " هو", "probability": 0.99267578125}, {"start": 1948.7, "end": 1949.86, "word": " ظهور", "probability": 0.935791015625}, {"start": 1949.86, "end": 1950.0, "word": " ال", "probability": 0.8984375}, {"start": 1950.0, "end": 1950.26, "word": " limit", "probability": 0.97705078125}, {"start": 1950.26, "end": 1950.84, "word": " بساوة", "probability": 0.789794921875}, {"start": 1950.84, "end": 1951.32, "word": " واحد", "probability": 0.966552734375}, {"start": 1951.32, "end": 1951.96, "word": " هنا", "probability": 0.6142578125}, {"start": 1951.96, "end": 1952.32, "word": " عندي", "probability": 0.823486328125}, {"start": 1952.32, "end": 1952.9, "word": " رقابس", "probability": 0.441986083984375}, {"start": 1952.9, "end": 1953.24, "word": " test", "probability": 0.81884765625}, {"start": 1953.24, "end": 1953.92, "word": " بتعالج", "probability": 0.9776611328125}, {"start": 1953.92, "end": 1954.46, "word": " الأمر", "probability": 0.921142578125}, {"start": 1954.46, "end": 1955.76, "word": " fx", "probability": 0.33221435546875}, {"start": 1955.76, "end": 1956.18, "word": " بساوة", "probability": 0.79072265625}, {"start": 1956.18, "end": 1956.68, "word": " xn", "probability": 0.82080078125}, {"start": 1956.68, "end": 1956.92, "word": " is", "probability": 0.86669921875}, {"start": 1956.92, "end": 1957.12, "word": " a", "probability": 0.9580078125}, {"start": 1957.12, "end": 1957.66, "word": " sequence", "probability": 0.97998046875}, {"start": 1957.66, "end": 1957.92, "word": " of", "probability": 0.97412109375}, {"start": 1957.92, "end": 1958.24, "word": " non", "probability": 0.90869140625}, {"start": 1958.24, "end": 1958.64, "word": "-zero", "probability": 0.6668701171875}, {"start": 1958.64, "end": 1959.32, "word": " elements", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 88, "seek": 197889, "start": 1960.41, "end": 1978.89, "text": "لو وجدنا real number a أكبر من واحد and a natural number k such that xn زائد واحد على xn أصغر سوى واحد نقصي n for n أكبر سوى k then ال summation لل xn is absolutely ايش ماله convergent", "tokens": [1211, 2407, 49610, 3215, 8315, 957, 1230, 257, 5551, 4117, 26890, 9154, 36764, 24401, 293, 257, 3303, 1230, 350, 1270, 300, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 2031, 77, 5551, 9381, 17082, 2288, 8608, 2407, 7578, 36764, 24401, 8717, 4587, 9381, 1829, 297, 337, 297, 5551, 4117, 26890, 8608, 2407, 7578, 350, 550, 2423, 28811, 24976, 2031, 77, 307, 3122, 1975, 1829, 8592, 3714, 6027, 3224, 9652, 6930], "avg_logprob": -0.35695422703111673, "compression_ratio": 1.4, "no_speech_prob": 4.0411949157714844e-05, "words": [{"start": 1960.4099999999999, "end": 1961.1299999999999, "word": "لو", "probability": 0.448333740234375}, {"start": 1961.1299999999999, "end": 1961.85, "word": " وجدنا", "probability": 0.8308919270833334}, {"start": 1961.85, "end": 1962.11, "word": " real", "probability": 0.1571044921875}, {"start": 1962.11, "end": 1964.65, "word": " number", "probability": 0.9453125}, {"start": 1964.65, "end": 1964.87, "word": " a", "probability": 0.546875}, {"start": 1964.87, "end": 1965.21, "word": " أكبر", "probability": 0.8019205729166666}, {"start": 1965.21, "end": 1965.37, "word": " من", "probability": 0.9814453125}, {"start": 1965.37, "end": 1965.83, "word": " واحد", "probability": 0.7802734375}, {"start": 1965.83, "end": 1966.49, "word": " and", "probability": 0.164794921875}, {"start": 1966.49, "end": 1966.67, "word": " a", "probability": 0.85498046875}, {"start": 1966.67, "end": 1967.03, "word": " natural", "probability": 0.8994140625}, {"start": 1967.03, "end": 1967.55, "word": " number", "probability": 0.9599609375}, {"start": 1967.55, "end": 1967.81, "word": " k", "probability": 0.76123046875}, {"start": 1967.81, "end": 1968.09, "word": " such", "probability": 0.8740234375}, {"start": 1968.09, "end": 1968.79, "word": " that", "probability": 0.939453125}, {"start": 1968.79, "end": 1969.43, "word": " xn", "probability": 0.625732421875}, {"start": 1969.43, "end": 1969.81, "word": " زائد", "probability": 0.7510579427083334}, {"start": 1969.81, "end": 1970.25, "word": " واحد", "probability": 0.898681640625}, {"start": 1970.25, "end": 1970.53, "word": " على", "probability": 0.484375}, {"start": 1970.53, "end": 1970.99, "word": " xn", "probability": 0.935302734375}, {"start": 1970.99, "end": 1971.37, "word": " أصغر", "probability": 0.9635009765625}, {"start": 1971.37, "end": 1971.61, "word": " سوى", "probability": 0.4756673177083333}, {"start": 1971.61, "end": 1971.89, "word": " واحد", "probability": 0.96923828125}, {"start": 1971.89, "end": 1972.39, "word": " نقصي", "probability": 0.6485595703125}, {"start": 1972.39, "end": 1972.57, "word": " n", "probability": 0.56982421875}, {"start": 1972.57, "end": 1972.79, "word": " for", "probability": 0.51123046875}, {"start": 1972.79, "end": 1973.01, "word": " n", "probability": 0.86083984375}, {"start": 1973.01, "end": 1973.29, "word": " أكبر", "probability": 0.9806315104166666}, {"start": 1973.29, "end": 1973.65, "word": " سوى", "probability": 0.8751627604166666}, {"start": 1973.65, "end": 1973.97, "word": " k", "probability": 0.85498046875}, {"start": 1973.97, "end": 1974.77, "word": " then", "probability": 0.49072265625}, {"start": 1974.77, "end": 1974.99, "word": " ال", "probability": 0.60986328125}, {"start": 1974.99, "end": 1975.41, "word": " summation", "probability": 0.6767578125}, {"start": 1975.41, "end": 1975.67, "word": " لل", "probability": 0.65478515625}, {"start": 1975.67, "end": 1976.11, "word": " xn", "probability": 0.810791015625}, {"start": 1976.11, "end": 1976.31, "word": " is", "probability": 0.89404296875}, {"start": 1976.31, "end": 1977.01, "word": " absolutely", "probability": 0.67822265625}, {"start": 1977.01, "end": 1977.37, "word": " ايش", "probability": 0.658203125}, {"start": 1977.37, "end": 1977.85, "word": " ماله", "probability": 0.7667643229166666}, {"start": 1977.85, "end": 1978.89, "word": " convergent", "probability": 0.6961669921875}], "temperature": 1.0}, {"id": 89, "seek": 199852, "start": 1979.22, "end": 1998.52, "text": "إذا كان هناك a أصغر يساوي واحد وشكل الـ K طبيعي كذلك الـ absolute value of xn زائد واحد على xn أكبر يساوي واحد نقص a على n for n أكبر يساوي k فإن سلسلة xn ليست أكتر مرتبطة يعني باختصار عشان أريحكم إيش بنسوي بنحسبلنا", "tokens": [28814, 15730, 25961, 34105, 4117, 257, 5551, 9381, 17082, 2288, 7251, 3794, 995, 45865, 36764, 24401, 4032, 8592, 28820, 2423, 39184, 591, 23032, 21292, 3615, 1829, 9122, 8848, 23275, 2423, 39184, 8236, 2158, 295, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 2031, 77, 5551, 4117, 26890, 7251, 3794, 995, 45865, 36764, 24401, 8717, 4587, 9381, 257, 15844, 297, 337, 297, 5551, 4117, 26890, 7251, 3794, 995, 45865, 350, 6156, 28814, 1863, 8608, 1211, 3794, 37977, 2031, 77, 32239, 14851, 5551, 4117, 2655, 2288, 3714, 43500, 3555, 9566, 3660, 37495, 22653, 4724, 47283, 2655, 9381, 9640, 6225, 8592, 7649, 5551, 16572, 5016, 24793, 11933, 1829, 8592, 44945, 3794, 45865, 44945, 5016, 35457, 1211, 8315], "avg_logprob": -0.4214673788651176, "compression_ratio": 1.628440366972477, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 1979.22, "end": 1979.6, "word": "إذا", "probability": 0.657958984375}, {"start": 1979.6, "end": 1979.88, "word": " كان", "probability": 0.79150390625}, {"start": 1979.88, "end": 1980.26, "word": " هناك", "probability": 0.7802734375}, {"start": 1980.26, "end": 1980.44, "word": " a", "probability": 0.3603515625}, {"start": 1980.44, "end": 1980.8, "word": " أصغر", "probability": 0.879638671875}, {"start": 1980.8, "end": 1981.16, "word": " يساوي", "probability": 0.51373291015625}, {"start": 1981.16, "end": 1981.66, "word": " واحد", "probability": 0.71875}, {"start": 1981.66, "end": 1982.12, "word": " وشكل", "probability": 0.37200927734375}, {"start": 1982.12, "end": 1982.12, "word": " الـ", "probability": 0.26104736328125}, {"start": 1982.12, "end": 1982.28, "word": " K", "probability": 0.2359619140625}, {"start": 1982.28, "end": 1982.5, "word": " طبيعي", "probability": 0.81866455078125}, {"start": 1982.5, "end": 1983.8, "word": " كذلك", "probability": 0.6990559895833334}, {"start": 1983.8, "end": 1984.48, "word": " الـ", "probability": 0.2423095703125}, {"start": 1984.48, "end": 1984.74, "word": " absolute", "probability": 0.60009765625}, {"start": 1984.74, "end": 1985.14, "word": " value", "probability": 0.96435546875}, {"start": 1985.14, "end": 1985.28, "word": " of", "probability": 0.3212890625}, {"start": 1985.28, "end": 1985.48, "word": " xn", "probability": 0.466796875}, {"start": 1985.48, "end": 1985.76, "word": " زائد", "probability": 0.66064453125}, {"start": 1985.76, "end": 1985.98, "word": " واحد", "probability": 0.94775390625}, {"start": 1985.98, "end": 1986.1, "word": " على", "probability": 0.57568359375}, {"start": 1986.1, "end": 1986.5, "word": " xn", "probability": 0.94873046875}, {"start": 1986.5, "end": 1986.84, "word": " أكبر", "probability": 0.9747721354166666}, {"start": 1986.84, "end": 1987.12, "word": " يساوي", "probability": 0.9339599609375}, {"start": 1987.12, "end": 1987.46, "word": " واحد", "probability": 0.990966796875}, {"start": 1987.46, "end": 1987.88, "word": " نقص", "probability": 0.8185221354166666}, {"start": 1987.88, "end": 1988.1, "word": " a", "probability": 0.92138671875}, {"start": 1988.1, "end": 1988.28, "word": " على", "probability": 0.625}, {"start": 1988.28, "end": 1988.54, "word": " n", "probability": 0.91650390625}, {"start": 1988.54, "end": 1989.0, "word": " for", "probability": 0.302001953125}, {"start": 1989.0, "end": 1989.2, "word": " n", "probability": 0.91015625}, {"start": 1989.2, "end": 1989.48, "word": " أكبر", "probability": 0.97998046875}, {"start": 1989.48, "end": 1989.76, "word": " يساوي", "probability": 0.9434814453125}, {"start": 1989.76, "end": 1990.14, "word": " k", "probability": 0.410400390625}, {"start": 1990.14, "end": 1991.1, "word": " فإن", "probability": 0.415771484375}, {"start": 1991.1, "end": 1991.64, "word": " سلسلة", "probability": 0.658172607421875}, {"start": 1991.64, "end": 1992.1, "word": " xn", "probability": 0.947021484375}, {"start": 1992.1, "end": 1992.48, "word": " ليست", "probability": 0.777099609375}, {"start": 1992.48, "end": 1992.9, "word": " أكتر", "probability": 0.55548095703125}, {"start": 1992.9, "end": 1993.92, "word": " مرتبطة", "probability": 0.5839599609375}, {"start": 1993.92, "end": 1994.44, "word": " يعني", "probability": 0.6434326171875}, {"start": 1994.44, "end": 1995.0, "word": " باختصار", "probability": 0.95693359375}, {"start": 1995.0, "end": 1995.28, "word": " عشان", "probability": 0.9456380208333334}, {"start": 1995.28, "end": 1995.88, "word": " أريحكم", "probability": 0.886962890625}, {"start": 1995.88, "end": 1996.1, "word": " إيش", "probability": 0.8219401041666666}, {"start": 1996.1, "end": 1996.7, "word": " بنسوي", "probability": 0.943359375}, {"start": 1996.7, "end": 1998.52, "word": " بنحسبلنا", "probability": 0.671728515625}], "temperature": 1.0}, {"id": 90, "seek": 201528, "start": 1999.3, "end": 2015.28, "text": "الـ xn زائد واحد على xn إذا جدرنا .. إذا جدرنا نقارن هذه xn زائد واحد على xn بالمقدار واحد ناقص a على n إذا لجينا إن هذا المقدار .. المقدار اسمه واحد ناقص a على n إذا لجينا هذا", "tokens": [6027, 39184, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 2031, 77, 11933, 15730, 10874, 3215, 2288, 8315, 4386, 11933, 15730, 10874, 3215, 2288, 8315, 8717, 4587, 9640, 1863, 29538, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 2031, 77, 20666, 2304, 28543, 9640, 36764, 24401, 8717, 995, 4587, 9381, 257, 15844, 297, 11933, 15730, 5296, 7435, 1829, 8315, 36145, 23758, 9673, 28543, 9640, 4386, 9673, 28543, 9640, 24525, 2304, 3224, 36764, 24401, 8717, 995, 4587, 9381, 257, 15844, 297, 11933, 15730, 5296, 7435, 1829, 8315, 23758], "avg_logprob": -0.1568714478476481, "compression_ratio": 2.267175572519084, "no_speech_prob": 8.225440979003906e-06, "words": [{"start": 1999.3, "end": 1999.64, "word": "الـ", "probability": 0.681640625}, {"start": 1999.64, "end": 1999.9, "word": " xn", "probability": 0.29705810546875}, {"start": 1999.9, "end": 2000.22, "word": " زائد", "probability": 0.5769449869791666}, {"start": 2000.22, "end": 2000.5, "word": " واحد", "probability": 0.864990234375}, {"start": 2000.5, "end": 2000.7, "word": " على", "probability": 0.62060546875}, {"start": 2000.7, "end": 2001.24, "word": " xn", "probability": 0.939208984375}, {"start": 2001.24, "end": 2001.92, "word": " إذا", "probability": 0.892578125}, {"start": 2001.92, "end": 2002.68, "word": " جدرنا", "probability": 0.82861328125}, {"start": 2002.68, "end": 2002.84, "word": " ..", "probability": 0.2275390625}, {"start": 2002.84, "end": 2003.18, "word": " إذا", "probability": 0.952392578125}, {"start": 2003.18, "end": 2003.8, "word": " جدرنا", "probability": 0.99609375}, {"start": 2003.8, "end": 2004.8, "word": " نقارن", "probability": 0.8505859375}, {"start": 2004.8, "end": 2005.04, "word": " هذه", "probability": 0.42041015625}, {"start": 2005.04, "end": 2005.38, "word": " xn", "probability": 0.819580078125}, {"start": 2005.38, "end": 2005.64, "word": " زائد", "probability": 0.8753255208333334}, {"start": 2005.64, "end": 2005.94, "word": " واحد", "probability": 0.9873046875}, {"start": 2005.94, "end": 2006.06, "word": " على", "probability": 0.75244140625}, {"start": 2006.06, "end": 2006.48, "word": " xn", "probability": 0.991455078125}, {"start": 2006.48, "end": 2007.4, "word": " بالمقدار", "probability": 0.930908203125}, {"start": 2007.4, "end": 2007.9, "word": " واحد", "probability": 0.973876953125}, {"start": 2007.9, "end": 2008.36, "word": " ناقص", "probability": 0.972412109375}, {"start": 2008.36, "end": 2008.58, "word": " a", "probability": 0.63427734375}, {"start": 2008.58, "end": 2008.8, "word": " على", "probability": 0.54345703125}, {"start": 2008.8, "end": 2009.16, "word": " n", "probability": 0.9658203125}, {"start": 2009.16, "end": 2010.06, "word": " إذا", "probability": 0.966552734375}, {"start": 2010.06, "end": 2010.48, "word": " لجينا", "probability": 0.8349609375}, {"start": 2010.48, "end": 2010.72, "word": " إن", "probability": 0.69775390625}, {"start": 2010.72, "end": 2011.28, "word": " هذا", "probability": 0.935546875}, {"start": 2011.28, "end": 2012.28, "word": " المقدار", "probability": 0.9410807291666666}, {"start": 2012.28, "end": 2012.3, "word": " ..", "probability": 0.77880859375}, {"start": 2012.3, "end": 2012.76, "word": " المقدار", "probability": 0.8766276041666666}, {"start": 2012.76, "end": 2013.04, "word": " اسمه", "probability": 0.9422200520833334}, {"start": 2013.04, "end": 2013.22, "word": " واحد", "probability": 0.994384765625}, {"start": 2013.22, "end": 2013.52, "word": " ناقص", "probability": 0.9945068359375}, {"start": 2013.52, "end": 2013.64, "word": " a", "probability": 0.94189453125}, {"start": 2013.64, "end": 2013.8, "word": " على", "probability": 0.85107421875}, {"start": 2013.8, "end": 2014.0, "word": " n", "probability": 0.98193359375}, {"start": 2014.0, "end": 2014.54, "word": " إذا", "probability": 0.91845703125}, {"start": 2014.54, "end": 2014.9, "word": " لجينا", "probability": 0.977783203125}, {"start": 2014.9, "end": 2015.28, "word": " هذا", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 91, "seek": 203333, "start": 2015.85, "end": 2033.33, "text": "أصغر أو يساوي 1 ناقص على A على N وكانت الـ A أكبر من 1 على طول بنحكم على الـ Absolutely Convergent للـ Series لكن لو لجينا هذا المقدار بعد ما حسبناه أكبر أو يساوي 1 ناقص A على N حتى لو كانت A أصغر يساوي 1 صغيرة", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 502, 8717, 995, 4587, 9381, 15844, 316, 15844, 426, 4032, 41361, 2655, 2423, 39184, 316, 5551, 4117, 26890, 9154, 502, 15844, 23032, 12610, 44945, 5016, 24793, 15844, 2423, 39184, 7021, 2656, 331, 6930, 24976, 39184, 13934, 44381, 45164, 5296, 7435, 1829, 8315, 23758, 9673, 28543, 9640, 39182, 19446, 11331, 35457, 8315, 3224, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 502, 8717, 995, 4587, 9381, 316, 15844, 426, 11331, 49975, 45164, 25961, 2655, 316, 5551, 9381, 17082, 2288, 7251, 3794, 995, 45865, 502, 20328, 17082, 48923], "avg_logprob": -0.1277669263072312, "compression_ratio": 1.6766169154228856, "no_speech_prob": 4.112720489501953e-06, "words": [{"start": 2015.85, "end": 2016.29, "word": "أصغر", "probability": 0.9659423828125}, {"start": 2016.29, "end": 2016.45, "word": " أو", "probability": 0.833984375}, {"start": 2016.45, "end": 2016.87, "word": " يساوي", "probability": 0.9613037109375}, {"start": 2016.87, "end": 2017.17, "word": " 1", "probability": 0.454345703125}, {"start": 2017.17, "end": 2017.57, "word": " ناقص", "probability": 0.928955078125}, {"start": 2017.57, "end": 2017.71, "word": " على", "probability": 0.37646484375}, {"start": 2017.71, "end": 2017.85, "word": " A", "probability": 0.244384765625}, {"start": 2017.85, "end": 2018.09, "word": " على", "probability": 0.78173828125}, {"start": 2018.09, "end": 2018.31, "word": " N", "probability": 0.92041015625}, {"start": 2018.31, "end": 2018.95, "word": " وكانت", "probability": 0.8860677083333334}, {"start": 2018.95, "end": 2019.13, "word": " الـ", "probability": 0.8984375}, {"start": 2019.13, "end": 2019.25, "word": " A", "probability": 0.5302734375}, {"start": 2019.25, "end": 2019.67, "word": " أكبر", "probability": 0.9674479166666666}, {"start": 2019.67, "end": 2019.85, "word": " من", "probability": 0.99169921875}, {"start": 2019.85, "end": 2020.29, "word": " 1", "probability": 0.95654296875}, {"start": 2020.29, "end": 2020.95, "word": " على", "probability": 0.80908203125}, {"start": 2020.95, "end": 2021.29, "word": " طول", "probability": 0.984130859375}, {"start": 2021.29, "end": 2021.81, "word": " بنحكم", "probability": 0.9334309895833334}, {"start": 2021.81, "end": 2022.05, "word": " على", "probability": 0.90673828125}, {"start": 2022.05, "end": 2022.27, "word": " الـ", "probability": 0.800048828125}, {"start": 2022.27, "end": 2023.05, "word": " Absolutely", "probability": 0.151123046875}, {"start": 2023.05, "end": 2023.91, "word": " Convergent", "probability": 0.8759765625}, {"start": 2023.91, "end": 2024.15, "word": " للـ", "probability": 0.7685546875}, {"start": 2024.15, "end": 2024.59, "word": " Series", "probability": 0.861328125}, {"start": 2024.59, "end": 2025.35, "word": " لكن", "probability": 0.82763671875}, {"start": 2025.35, "end": 2025.61, "word": " لو", "probability": 0.9404296875}, {"start": 2025.61, "end": 2026.03, "word": " لجينا", "probability": 0.9305419921875}, {"start": 2026.03, "end": 2026.33, "word": " هذا", "probability": 0.96923828125}, {"start": 2026.33, "end": 2026.85, "word": " المقدار", "probability": 0.912109375}, {"start": 2026.85, "end": 2027.03, "word": " بعد", "probability": 0.8857421875}, {"start": 2027.03, "end": 2027.17, "word": " ما", "probability": 0.8828125}, {"start": 2027.17, "end": 2027.79, "word": " حسبناه", "probability": 0.895263671875}, {"start": 2027.79, "end": 2028.15, "word": " أكبر", "probability": 0.9825846354166666}, {"start": 2028.15, "end": 2028.25, "word": " أو", "probability": 0.95751953125}, {"start": 2028.25, "end": 2028.65, "word": " يساوي", "probability": 0.9730224609375}, {"start": 2028.65, "end": 2029.01, "word": " 1", "probability": 0.9287109375}, {"start": 2029.01, "end": 2029.53, "word": " ناقص", "probability": 0.9765625}, {"start": 2029.53, "end": 2029.77, "word": " A", "probability": 0.73388671875}, {"start": 2029.77, "end": 2030.01, "word": " على", "probability": 0.884765625}, {"start": 2030.01, "end": 2030.39, "word": " N", "probability": 0.99365234375}, {"start": 2030.39, "end": 2031.15, "word": " حتى", "probability": 0.92431640625}, {"start": 2031.15, "end": 2031.31, "word": " لو", "probability": 0.994140625}, {"start": 2031.31, "end": 2031.69, "word": " كانت", "probability": 0.96923828125}, {"start": 2031.69, "end": 2031.81, "word": " A", "probability": 0.91015625}, {"start": 2031.81, "end": 2032.15, "word": " أصغر", "probability": 0.9906005859375}, {"start": 2032.15, "end": 2032.47, "word": " يساوي", "probability": 0.93408203125}, {"start": 2032.47, "end": 2032.73, "word": " 1", "probability": 0.93994140625}, {"start": 2032.73, "end": 2033.33, "word": " صغيرة", "probability": 0.9762369791666666}], "temperature": 1.0}, {"id": 92, "seek": 206008, "start": 2033.54, "end": 2060.08, "text": "فبنقول إنه في هذه الحالة بنحكم على إيش على إنه ال series is not absolutely convergent يعني العملية عملية حسابات هذه على هذه ونجيبها بدلالة 1 minus a على n أو بنقرنها ب 1 minus a على n 1 minus a على n في حالة إن ال a أصغر يساوي واحد هتطلع لنا اللي هي هنا في هذه الحالة it's not absolutely convergent في حالة ال a أكبر من واحد is", "tokens": [5172, 3555, 1863, 39648, 36145, 3224, 8978, 29538, 21542, 6027, 3660, 44945, 5016, 24793, 15844, 11933, 1829, 8592, 15844, 36145, 3224, 2423, 2638, 307, 406, 3122, 9652, 6930, 37495, 22653, 18863, 42213, 10632, 6225, 42213, 10632, 11331, 3794, 16758, 9307, 29538, 15844, 29538, 4032, 1863, 7435, 1829, 3555, 11296, 47525, 1211, 6027, 3660, 502, 3175, 257, 15844, 297, 34051, 44945, 4587, 2288, 1863, 11296, 4724, 502, 3175, 257, 15844, 297, 502, 3175, 257, 15844, 297, 8978, 11331, 6027, 3660, 36145, 2423, 257, 5551, 9381, 17082, 2288, 7251, 3794, 995, 45865, 36764, 24401, 8032, 2655, 9566, 1211, 3615, 5296, 8315, 13672, 1829, 39896, 34105, 8978, 29538, 21542, 6027, 3660, 309, 311, 406, 3122, 9652, 6930, 8978, 11331, 6027, 3660, 2423, 257, 5551, 4117, 26890, 9154, 36764, 24401, 307], "avg_logprob": -0.1715087885968387, "compression_ratio": 1.9683794466403162, "no_speech_prob": 3.2186508178710938e-06, "words": [{"start": 2033.54, "end": 2034.44, "word": "فبنقول", "probability": 0.88671875}, {"start": 2034.44, "end": 2034.78, "word": " إنه", "probability": 0.64990234375}, {"start": 2034.78, "end": 2034.9, "word": " في", "probability": 0.90576171875}, {"start": 2034.9, "end": 2035.18, "word": " هذه", "probability": 0.9375}, {"start": 2035.18, "end": 2035.58, "word": " الحالة", "probability": 0.9918619791666666}, {"start": 2035.58, "end": 2036.04, "word": " بنحكم", "probability": 0.8929036458333334}, {"start": 2036.04, "end": 2036.28, "word": " على", "probability": 0.77294921875}, {"start": 2036.28, "end": 2036.82, "word": " إيش", "probability": 0.91162109375}, {"start": 2036.82, "end": 2037.36, "word": " على", "probability": 0.470947265625}, {"start": 2037.36, "end": 2037.82, "word": " إنه", "probability": 0.799072265625}, {"start": 2037.82, "end": 2037.98, "word": " ال", "probability": 0.8896484375}, {"start": 2037.98, "end": 2038.36, "word": " series", "probability": 0.7255859375}, {"start": 2038.36, "end": 2038.64, "word": " is", "probability": 0.90966796875}, {"start": 2038.64, "end": 2039.02, "word": " not", "probability": 0.9423828125}, {"start": 2039.02, "end": 2039.76, "word": " absolutely", "probability": 0.66650390625}, {"start": 2039.76, "end": 2040.54, "word": " convergent", "probability": 0.9697265625}, {"start": 2040.54, "end": 2041.14, "word": " يعني", "probability": 0.9091796875}, {"start": 2041.14, "end": 2041.7, "word": " العملية", "probability": 0.9427083333333334}, {"start": 2041.7, "end": 2042.14, "word": " عملية", "probability": 0.90869140625}, {"start": 2042.14, "end": 2042.7, "word": " حسابات", "probability": 0.91015625}, {"start": 2042.7, "end": 2042.92, "word": " هذه", "probability": 0.55859375}, {"start": 2042.92, "end": 2043.12, "word": " على", "probability": 0.87646484375}, {"start": 2043.12, "end": 2043.5, "word": " هذه", "probability": 0.93505859375}, {"start": 2043.5, "end": 2044.48, "word": " ونجيبها", "probability": 0.941162109375}, {"start": 2044.48, "end": 2045.04, "word": " بدلالة", "probability": 0.95361328125}, {"start": 2045.04, "end": 2045.32, "word": " 1", "probability": 0.496826171875}, {"start": 2045.32, "end": 2045.88, "word": " minus", "probability": 0.273681640625}, {"start": 2045.88, "end": 2046.12, "word": " a", "probability": 0.814453125}, {"start": 2046.12, "end": 2046.28, "word": " على", "probability": 0.73779296875}, {"start": 2046.28, "end": 2046.6, "word": " n", "probability": 0.892578125}, {"start": 2046.6, "end": 2047.38, "word": " أو", "probability": 0.74462890625}, {"start": 2047.38, "end": 2048.36, "word": " بنقرنها", "probability": 0.86103515625}, {"start": 2048.36, "end": 2048.48, "word": " ب", "probability": 0.83984375}, {"start": 2048.48, "end": 2048.66, "word": " 1", "probability": 0.4052734375}, {"start": 2048.66, "end": 2049.02, "word": " minus", "probability": 0.94482421875}, {"start": 2049.02, "end": 2049.26, "word": " a", "probability": 0.98876953125}, {"start": 2049.26, "end": 2049.42, "word": " على", "probability": 0.884765625}, {"start": 2049.42, "end": 2049.76, "word": " n", "probability": 0.96923828125}, {"start": 2049.76, "end": 2050.32, "word": " 1", "probability": 0.387939453125}, {"start": 2050.32, "end": 2050.76, "word": " minus", "probability": 0.97998046875}, {"start": 2050.76, "end": 2051.0, "word": " a", "probability": 0.9931640625}, {"start": 2051.0, "end": 2051.14, "word": " على", "probability": 0.92138671875}, {"start": 2051.14, "end": 2051.42, "word": " n", "probability": 0.97509765625}, {"start": 2051.42, "end": 2051.74, "word": " في", "probability": 0.82275390625}, {"start": 2051.74, "end": 2052.1, "word": " حالة", "probability": 0.9957682291666666}, {"start": 2052.1, "end": 2052.22, "word": " إن", "probability": 0.7138671875}, {"start": 2052.22, "end": 2052.36, "word": " ال", "probability": 0.8896484375}, {"start": 2052.36, "end": 2052.5, "word": " a", "probability": 0.865234375}, {"start": 2052.5, "end": 2052.84, "word": " أصغر", "probability": 0.993896484375}, {"start": 2052.84, "end": 2053.16, "word": " يساوي", "probability": 0.6217041015625}, {"start": 2053.16, "end": 2053.48, "word": " واحد", "probability": 0.7216796875}, {"start": 2053.48, "end": 2054.06, "word": " هتطلع", "probability": 0.79794921875}, {"start": 2054.06, "end": 2054.42, "word": " لنا", "probability": 0.826904296875}, {"start": 2054.42, "end": 2054.92, "word": " اللي", "probability": 0.89892578125}, {"start": 2054.92, "end": 2055.16, "word": " هي", "probability": 0.50244140625}, {"start": 2055.16, "end": 2055.48, "word": " هنا", "probability": 0.92041015625}, {"start": 2055.48, "end": 2055.68, "word": " في", "probability": 0.91552734375}, {"start": 2055.68, "end": 2055.9, "word": " هذه", "probability": 0.91748046875}, {"start": 2055.9, "end": 2056.38, "word": " الحالة", "probability": 0.9923502604166666}, {"start": 2056.38, "end": 2056.9, "word": " it's", "probability": 0.592041015625}, {"start": 2056.9, "end": 2057.08, "word": " not", "probability": 0.94189453125}, {"start": 2057.08, "end": 2057.54, "word": " absolutely", "probability": 0.74853515625}, {"start": 2057.54, "end": 2058.22, "word": " convergent", "probability": 0.97412109375}, {"start": 2058.22, "end": 2058.38, "word": " في", "probability": 0.79248046875}, {"start": 2058.38, "end": 2058.7, "word": " حالة", "probability": 0.9952799479166666}, {"start": 2058.7, "end": 2058.8, "word": " ال", "probability": 0.76025390625}, {"start": 2058.8, "end": 2058.84, "word": " a", "probability": 0.9296875}, {"start": 2058.84, "end": 2059.14, "word": " أكبر", "probability": 0.97900390625}, {"start": 2059.14, "end": 2059.26, "word": " من", "probability": 0.9716796875}, {"start": 2059.26, "end": 2059.6, "word": " واحد", "probability": 0.834228515625}, {"start": 2059.6, "end": 2060.08, "word": " is", "probability": 0.87255859375}], "temperature": 1.0}, {"id": 93, "seek": 208777, "start": 2060.79, "end": 2087.77, "text": "absolutely convergent وخلّينا نشوف اللي هو البرهان لاللي هي هذه النظرية suppose that عشرة holds عشرة عشرة and اللي هي اللي قبل بشوية حكيناها عشان تكونوا في صورة نقولكم عشرة نذكركم فيها هذه عشرة اللي هي xn زائد واحد xn زائد واحد", "tokens": [17243, 2553, 9652, 6930, 4032, 9778, 1211, 11703, 9957, 995, 8717, 8592, 38688, 13672, 1829, 31439, 2423, 26890, 3224, 7649, 5296, 6027, 20292, 39896, 29538, 28239, 19913, 2288, 10632, 7297, 300, 6225, 8592, 25720, 9190, 6225, 8592, 25720, 6225, 8592, 25720, 293, 13672, 1829, 39896, 13672, 1829, 12174, 36150, 4724, 8592, 2407, 10632, 11331, 4117, 1829, 8315, 11296, 6225, 8592, 7649, 6055, 30544, 14407, 8978, 20328, 13063, 3660, 8717, 39648, 24793, 6225, 8592, 25720, 8717, 8848, 37983, 24793, 8978, 11296, 29538, 6225, 8592, 25720, 13672, 1829, 39896, 2031, 77, 30767, 16373, 3215, 36764, 24401, 2031, 77, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.1925551422378596, "compression_ratio": 1.78743961352657, "no_speech_prob": 1.3053417205810547e-05, "words": [{"start": 2060.79, "end": 2061.79, "word": "absolutely", "probability": 0.7646484375}, {"start": 2061.79, "end": 2062.99, "word": " convergent", "probability": 0.858642578125}, {"start": 2062.99, "end": 2063.57, "word": " وخلّينا", "probability": 0.789306640625}, {"start": 2063.57, "end": 2064.11, "word": " نشوف", "probability": 0.9949544270833334}, {"start": 2064.11, "end": 2064.71, "word": " اللي", "probability": 0.912109375}, {"start": 2064.71, "end": 2065.09, "word": " هو", "probability": 0.99169921875}, {"start": 2065.09, "end": 2067.37, "word": " البرهان", "probability": 0.92626953125}, {"start": 2067.37, "end": 2068.23, "word": " لاللي", "probability": 0.567138671875}, {"start": 2068.23, "end": 2068.67, "word": " هي", "probability": 0.83935546875}, {"start": 2068.67, "end": 2069.17, "word": " هذه", "probability": 0.9306640625}, {"start": 2069.17, "end": 2069.93, "word": " النظرية", "probability": 0.960693359375}, {"start": 2069.93, "end": 2072.41, "word": " suppose", "probability": 0.5126953125}, {"start": 2072.41, "end": 2072.81, "word": " that", "probability": 0.82080078125}, {"start": 2072.81, "end": 2073.23, "word": " عشرة", "probability": 0.9443359375}, {"start": 2073.23, "end": 2073.75, "word": " holds", "probability": 0.69677734375}, {"start": 2073.75, "end": 2074.53, "word": " عشرة", "probability": 0.9679361979166666}, {"start": 2074.53, "end": 2076.97, "word": " عشرة", "probability": 0.8792317708333334}, {"start": 2076.97, "end": 2077.95, "word": " and", "probability": 0.81494140625}, {"start": 2077.95, "end": 2078.33, "word": " اللي", "probability": 0.851318359375}, {"start": 2078.33, "end": 2078.53, "word": " هي", "probability": 0.36083984375}, {"start": 2078.53, "end": 2078.71, "word": " اللي", "probability": 0.97998046875}, {"start": 2078.71, "end": 2078.91, "word": " قبل", "probability": 0.924560546875}, {"start": 2078.91, "end": 2079.31, "word": " بشوية", "probability": 0.8978271484375}, {"start": 2079.31, "end": 2079.73, "word": " حكيناها", "probability": 0.8625}, {"start": 2079.73, "end": 2079.89, "word": " عشان", "probability": 0.9755859375}, {"start": 2079.89, "end": 2080.23, "word": " تكونوا", "probability": 0.9737955729166666}, {"start": 2080.23, "end": 2080.35, "word": " في", "probability": 0.6611328125}, {"start": 2080.35, "end": 2080.63, "word": " صورة", "probability": 0.8489583333333334}, {"start": 2080.63, "end": 2081.15, "word": " نقولكم", "probability": 0.6370849609375}, {"start": 2081.15, "end": 2081.61, "word": " عشرة", "probability": 0.82958984375}, {"start": 2081.61, "end": 2082.09, "word": " نذكركم", "probability": 0.8419189453125}, {"start": 2082.09, "end": 2082.45, "word": " فيها", "probability": 0.989501953125}, {"start": 2082.45, "end": 2082.93, "word": " هذه", "probability": 0.296875}, {"start": 2082.93, "end": 2083.27, "word": " عشرة", "probability": 0.93994140625}, {"start": 2083.27, "end": 2083.41, "word": " اللي", "probability": 0.84423828125}, {"start": 2083.41, "end": 2083.53, "word": " هي", "probability": 0.888671875}, {"start": 2083.53, "end": 2083.85, "word": " xn", "probability": 0.564208984375}, {"start": 2083.85, "end": 2084.15, "word": " زائد", "probability": 0.80224609375}, {"start": 2084.15, "end": 2084.63, "word": " واحد", "probability": 0.933837890625}, {"start": 2084.63, "end": 2086.23, "word": " xn", "probability": 0.87841796875}, {"start": 2086.23, "end": 2087.27, "word": " زائد", "probability": 0.8221028645833334}, {"start": 2087.27, "end": 2087.77, "word": " واحد", "probability": 0.984375}], "temperature": 1.0}, {"id": 94, "seek": 211682, "start": 2088.3, "end": 2116.82, "text": "على xn أصغر أو سوى 1 نقص a على n a أكبر من 1 و n أكبر أو سوى k التاني هذا اللي سميناها عشرة اللي سميناها 11 اللي هو xn زائد 1 على absolute value xn أكبر أو سوى اللي هو 1 نقص a على n و a اللي هي a شمالها أصغر من", "tokens": [3615, 23942, 2031, 77, 5551, 9381, 17082, 2288, 34051, 8608, 2407, 7578, 502, 8717, 4587, 9381, 257, 15844, 297, 257, 5551, 4117, 26890, 9154, 502, 4032, 297, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 350, 16712, 7649, 1829, 23758, 13672, 1829, 8608, 2304, 1829, 8315, 11296, 6225, 8592, 25720, 13672, 1829, 8608, 2304, 1829, 8315, 11296, 2975, 13672, 1829, 31439, 2031, 77, 30767, 16373, 3215, 502, 15844, 8236, 2158, 2031, 77, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 13672, 1829, 31439, 502, 8717, 4587, 9381, 257, 15844, 297, 4032, 257, 13672, 1829, 39896, 257, 13412, 2304, 6027, 11296, 5551, 9381, 17082, 2288, 9154], "avg_logprob": -0.1389723513275385, "compression_ratio": 1.9190751445086704, "no_speech_prob": 0.00018274784088134766, "words": [{"start": 2088.3, "end": 2088.86, "word": "على", "probability": 0.910888671875}, {"start": 2088.86, "end": 2089.74, "word": " xn", "probability": 0.443115234375}, {"start": 2089.74, "end": 2090.84, "word": " أصغر", "probability": 0.9031982421875}, {"start": 2090.84, "end": 2090.92, "word": " أو", "probability": 0.9423828125}, {"start": 2090.92, "end": 2091.1, "word": " سوى", "probability": 0.6572265625}, {"start": 2091.1, "end": 2091.4, "word": " 1", "probability": 0.60498046875}, {"start": 2091.4, "end": 2091.84, "word": " نقص", "probability": 0.666748046875}, {"start": 2091.84, "end": 2091.98, "word": " a", "probability": 0.79443359375}, {"start": 2091.98, "end": 2092.14, "word": " على", "probability": 0.5126953125}, {"start": 2092.14, "end": 2092.44, "word": " n", "probability": 0.93798828125}, {"start": 2092.44, "end": 2093.56, "word": " a", "probability": 0.7177734375}, {"start": 2093.56, "end": 2093.98, "word": " أكبر", "probability": 0.96240234375}, {"start": 2093.98, "end": 2094.14, "word": " من", "probability": 0.99365234375}, {"start": 2094.14, "end": 2094.66, "word": " 1", "probability": 0.74169921875}, {"start": 2094.66, "end": 2096.0, "word": " و", "probability": 0.90771484375}, {"start": 2096.0, "end": 2096.22, "word": " n", "probability": 0.5029296875}, {"start": 2096.22, "end": 2096.6, "word": " أكبر", "probability": 0.9812825520833334}, {"start": 2096.6, "end": 2096.68, "word": " أو", "probability": 0.83642578125}, {"start": 2096.68, "end": 2096.9, "word": " سوى", "probability": 0.9532877604166666}, {"start": 2096.9, "end": 2097.22, "word": " k", "probability": 0.81298828125}, {"start": 2097.22, "end": 2098.02, "word": " التاني", "probability": 0.7732747395833334}, {"start": 2098.02, "end": 2098.2, "word": " هذا", "probability": 0.51123046875}, {"start": 2098.2, "end": 2098.32, "word": " اللي", "probability": 0.951416015625}, {"start": 2098.32, "end": 2098.66, "word": " سميناها", "probability": 0.81513671875}, {"start": 2098.66, "end": 2099.08, "word": " عشرة", "probability": 0.82080078125}, {"start": 2099.08, "end": 2100.04, "word": " اللي", "probability": 0.97509765625}, {"start": 2100.04, "end": 2100.48, "word": " سميناها", "probability": 0.961328125}, {"start": 2100.48, "end": 2100.96, "word": " 11", "probability": 0.72021484375}, {"start": 2100.96, "end": 2101.5, "word": " اللي", "probability": 0.972900390625}, {"start": 2101.5, "end": 2101.64, "word": " هو", "probability": 0.94921875}, {"start": 2101.64, "end": 2102.22, "word": " xn", "probability": 0.982177734375}, {"start": 2102.22, "end": 2103.38, "word": " زائد", "probability": 0.8738606770833334}, {"start": 2103.38, "end": 2103.88, "word": " 1", "probability": 0.84814453125}, {"start": 2103.88, "end": 2104.72, "word": " على", "probability": 0.91943359375}, {"start": 2104.72, "end": 2105.06, "word": " absolute", "probability": 0.90673828125}, {"start": 2105.06, "end": 2105.38, "word": " value", "probability": 0.9921875}, {"start": 2105.38, "end": 2105.92, "word": " xn", "probability": 0.916748046875}, {"start": 2105.92, "end": 2107.14, "word": " أكبر", "probability": 0.9801432291666666}, {"start": 2107.14, "end": 2107.28, "word": " أو", "probability": 0.95556640625}, {"start": 2107.28, "end": 2107.7, "word": " سوى", "probability": 0.9658203125}, {"start": 2107.7, "end": 2109.72, "word": " اللي", "probability": 0.938232421875}, {"start": 2109.72, "end": 2109.9, "word": " هو", "probability": 0.9853515625}, {"start": 2109.9, "end": 2110.24, "word": " 1", "probability": 0.91552734375}, {"start": 2110.24, "end": 2110.74, "word": " نقص", "probability": 0.9431966145833334}, {"start": 2110.74, "end": 2110.92, "word": " a", "probability": 0.984375}, {"start": 2110.92, "end": 2111.08, "word": " على", "probability": 0.84814453125}, {"start": 2111.08, "end": 2111.48, "word": " n", "probability": 0.98876953125}, {"start": 2111.48, "end": 2112.1, "word": " و", "probability": 0.9189453125}, {"start": 2112.1, "end": 2112.44, "word": " a", "probability": 0.89013671875}, {"start": 2112.44, "end": 2112.96, "word": " اللي", "probability": 0.876708984375}, {"start": 2112.96, "end": 2113.24, "word": " هي", "probability": 0.89111328125}, {"start": 2113.24, "end": 2113.46, "word": " a", "probability": 0.56591796875}, {"start": 2113.46, "end": 2114.14, "word": " شمالها", "probability": 0.92138671875}, {"start": 2114.14, "end": 2116.46, "word": " أصغر", "probability": 0.99072265625}, {"start": 2116.46, "end": 2116.82, "word": " من", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 95, "seek": 213001, "start": 2117.51, "end": 2130.01, "text": "أو يساوي الواحد ماشي الحال طيب هي هذا عشرة وهذا احد عشرة عشان بعد شوية هنستخدمهم في البرهان خلوكوا معنا ان شاء الله البرهان مش صعب", "tokens": [10721, 2407, 7251, 3794, 995, 45865, 2423, 14407, 24401, 3714, 33599, 1829, 21542, 6027, 23032, 1829, 3555, 39896, 23758, 6225, 8592, 25720, 37037, 15730, 1975, 24401, 6225, 8592, 25720, 6225, 8592, 7649, 39182, 13412, 2407, 10632, 8032, 1863, 14851, 9778, 40448, 16095, 8978, 2423, 26890, 3224, 7649, 16490, 1211, 2407, 4117, 14407, 20449, 8315, 16472, 13412, 16606, 21984, 2423, 26890, 3224, 7649, 37893, 20328, 3615, 3555], "avg_logprob": -0.1901819087676148, "compression_ratio": 1.6906474820143884, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 2117.51, "end": 2117.85, "word": "أو", "probability": 0.800537109375}, {"start": 2117.85, "end": 2118.57, "word": " يساوي", "probability": 0.908203125}, {"start": 2118.57, "end": 2119.71, "word": " الواحد", "probability": 0.8507486979166666}, {"start": 2119.71, "end": 2120.71, "word": " ماشي", "probability": 0.8136393229166666}, {"start": 2120.71, "end": 2121.09, "word": " الحال", "probability": 0.869140625}, {"start": 2121.09, "end": 2121.73, "word": " طيب", "probability": 0.8850911458333334}, {"start": 2121.73, "end": 2122.59, "word": " هي", "probability": 0.347900390625}, {"start": 2122.59, "end": 2122.81, "word": " هذا", "probability": 0.68798828125}, {"start": 2122.81, "end": 2123.21, "word": " عشرة", "probability": 0.9093424479166666}, {"start": 2123.21, "end": 2123.61, "word": " وهذا", "probability": 0.5439453125}, {"start": 2123.61, "end": 2123.77, "word": " احد", "probability": 0.640869140625}, {"start": 2123.77, "end": 2124.09, "word": " عشرة", "probability": 0.81884765625}, {"start": 2124.09, "end": 2124.39, "word": " عشان", "probability": 0.9259440104166666}, {"start": 2124.39, "end": 2124.59, "word": " بعد", "probability": 0.857421875}, {"start": 2124.59, "end": 2124.97, "word": " شوية", "probability": 0.8828125}, {"start": 2124.97, "end": 2125.87, "word": " هنستخدمهم", "probability": 0.7840576171875}, {"start": 2125.87, "end": 2126.15, "word": " في", "probability": 0.8115234375}, {"start": 2126.15, "end": 2127.67, "word": " البرهان", "probability": 0.9300537109375}, {"start": 2127.67, "end": 2128.15, "word": " خلوكوا", "probability": 0.824169921875}, {"start": 2128.15, "end": 2128.43, "word": " معنا", "probability": 0.9140625}, {"start": 2128.43, "end": 2128.99, "word": " ان", "probability": 0.87060546875}, {"start": 2128.99, "end": 2129.17, "word": " شاء", "probability": 0.905517578125}, {"start": 2129.17, "end": 2129.19, "word": " الله", "probability": 0.94677734375}, {"start": 2129.19, "end": 2129.53, "word": " البرهان", "probability": 0.9560546875}, {"start": 2129.53, "end": 2129.69, "word": " مش", "probability": 0.97119140625}, {"start": 2129.69, "end": 2130.01, "word": " صعب", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 96, "seek": 215498, "start": 2131.28, "end": 2154.98, "text": "الآن suppose that انه عشرة holes هيه for M أكبر أو يساوي K الآن اضرب لطرفين في وسطين اضرب هذه في هذه بيصير عندي وبدل ا ا بدي استخدم اللي هي M عندي بدل M زائد واحد خليني بيصير عند منح دعش عشان انا اجيب لكم يادي كيف اجت absolute value ل X M زائد واحد", "tokens": [6027, 148, 48506, 7297, 300, 16472, 3224, 6225, 8592, 25720, 8118, 39896, 3224, 337, 376, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 591, 6024, 48506, 1975, 11242, 25513, 5296, 9566, 28480, 9957, 8978, 46952, 9566, 9957, 1975, 11242, 25513, 29538, 8978, 29538, 4724, 1829, 9381, 13546, 18871, 16254, 4032, 44510, 1211, 1975, 1975, 4724, 16254, 44713, 9778, 40448, 13672, 1829, 39896, 376, 18871, 16254, 47525, 1211, 376, 30767, 16373, 3215, 36764, 24401, 16490, 1211, 9957, 1829, 4724, 1829, 9381, 13546, 43242, 9154, 5016, 11778, 3615, 8592, 6225, 8592, 7649, 1975, 8315, 1975, 7435, 1829, 3555, 5296, 24793, 35186, 16254, 9122, 33911, 1975, 7435, 2655, 8236, 2158, 5296, 1783, 376, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.31142240454410686, "compression_ratio": 1.6861924686192469, "no_speech_prob": 1.2159347534179688e-05, "words": [{"start": 2131.28, "end": 2131.72, "word": "الآن", "probability": 0.4864908854166667}, {"start": 2131.72, "end": 2132.08, "word": " suppose", "probability": 0.348388671875}, {"start": 2132.08, "end": 2132.8, "word": " that", "probability": 0.86474609375}, {"start": 2132.8, "end": 2133.22, "word": " انه", "probability": 0.6949462890625}, {"start": 2133.22, "end": 2133.54, "word": " عشرة", "probability": 0.7648111979166666}, {"start": 2133.54, "end": 2133.82, "word": " holes", "probability": 0.75341796875}, {"start": 2133.82, "end": 2134.5, "word": " هيه", "probability": 0.46112060546875}, {"start": 2134.5, "end": 2134.88, "word": " for", "probability": 0.77783203125}, {"start": 2134.88, "end": 2135.24, "word": " M", "probability": 0.6298828125}, {"start": 2135.24, "end": 2135.7, "word": " أكبر", "probability": 0.9007161458333334}, {"start": 2135.7, "end": 2135.84, "word": " أو", "probability": 0.611328125}, {"start": 2135.84, "end": 2136.28, "word": " يساوي", "probability": 0.9039306640625}, {"start": 2136.28, "end": 2136.5, "word": " K", "probability": 0.56884765625}, {"start": 2136.5, "end": 2137.82, "word": " الآن", "probability": 0.69287109375}, {"start": 2137.82, "end": 2139.08, "word": " اضرب", "probability": 0.8080240885416666}, {"start": 2139.08, "end": 2139.9, "word": " لطرفين", "probability": 0.84130859375}, {"start": 2139.9, "end": 2140.04, "word": " في", "probability": 0.5859375}, {"start": 2140.04, "end": 2140.52, "word": " وسطين", "probability": 0.9117838541666666}, {"start": 2140.52, "end": 2140.76, "word": " اضرب", "probability": 0.9007161458333334}, {"start": 2140.76, "end": 2140.98, "word": " هذه", "probability": 0.595703125}, {"start": 2140.98, "end": 2141.12, "word": " في", "probability": 0.9462890625}, {"start": 2141.12, "end": 2141.44, "word": " هذه", "probability": 0.8837890625}, {"start": 2141.44, "end": 2142.38, "word": " بيصير", "probability": 0.867919921875}, {"start": 2142.38, "end": 2142.68, "word": " عندي", "probability": 0.7490234375}, {"start": 2142.68, "end": 2143.08, "word": " وبدل", "probability": 0.666748046875}, {"start": 2143.08, "end": 2143.28, "word": " ا", "probability": 0.2220458984375}, {"start": 2143.28, "end": 2143.46, "word": " ا", "probability": 0.54833984375}, {"start": 2143.46, "end": 2143.76, "word": " بدي", "probability": 0.57891845703125}, {"start": 2143.76, "end": 2144.2, "word": " استخدم", "probability": 0.9140625}, {"start": 2144.2, "end": 2144.34, "word": " اللي", "probability": 0.7705078125}, {"start": 2144.34, "end": 2144.64, "word": " هي", "probability": 0.6328125}, {"start": 2144.64, "end": 2145.58, "word": " M", "probability": 0.890625}, {"start": 2145.58, "end": 2146.72, "word": " عندي", "probability": 0.6806640625}, {"start": 2146.72, "end": 2147.3, "word": " بدل", "probability": 0.98046875}, {"start": 2147.3, "end": 2147.46, "word": " M", "probability": 0.955078125}, {"start": 2147.46, "end": 2147.76, "word": " زائد", "probability": 0.82470703125}, {"start": 2147.76, "end": 2148.18, "word": " واحد", "probability": 0.7091064453125}, {"start": 2148.18, "end": 2148.98, "word": " خليني", "probability": 0.8782958984375}, {"start": 2148.98, "end": 2149.26, "word": " بيصير", "probability": 0.95263671875}, {"start": 2149.26, "end": 2149.48, "word": " عند", "probability": 0.89111328125}, {"start": 2149.48, "end": 2149.74, "word": " منح", "probability": 0.4586181640625}, {"start": 2149.74, "end": 2150.08, "word": " دعش", "probability": 0.84716796875}, {"start": 2150.08, "end": 2150.32, "word": " عشان", "probability": 0.96826171875}, {"start": 2150.32, "end": 2150.44, "word": " انا", "probability": 0.63671875}, {"start": 2150.44, "end": 2150.78, "word": " اجيب", "probability": 0.6915283203125}, {"start": 2150.78, "end": 2151.06, "word": " لكم", "probability": 0.65087890625}, {"start": 2151.06, "end": 2151.36, "word": " يادي", "probability": 0.3248291015625}, {"start": 2151.36, "end": 2151.56, "word": " كيف", "probability": 0.973876953125}, {"start": 2151.56, "end": 2151.88, "word": " اجت", "probability": 0.8531901041666666}, {"start": 2151.88, "end": 2152.64, "word": " absolute", "probability": 0.806640625}, {"start": 2152.64, "end": 2153.1, "word": " value", "probability": 0.98779296875}, {"start": 2153.1, "end": 2153.22, "word": " ل", "probability": 0.7890625}, {"start": 2153.22, "end": 2153.54, "word": " X", "probability": 0.54833984375}, {"start": 2153.54, "end": 2153.92, "word": " M", "probability": 0.568359375}, {"start": 2153.92, "end": 2154.5, "word": " زائد", "probability": 0.9010416666666666}, {"start": 2154.5, "end": 2154.98, "word": " واحد", "probability": 0.947021484375}], "temperature": 1.0}, {"id": 97, "seek": 217171, "start": 2155.61, "end": 2171.71, "text": "أصغر أو يساوي الـ absolute value للـ XM مضروبة في واحد ناقص A على M، مظبوط؟ طيب، الآن اضربولي الجهتين في مين؟ في M فبصير M هنا، بصير M في هنا", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 39184, 8236, 2158, 24976, 39184, 1783, 44, 3714, 11242, 32887, 49401, 8978, 36764, 24401, 8717, 995, 4587, 9381, 316, 15844, 376, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 12399, 6024, 48506, 1975, 11242, 25513, 12610, 1829, 25724, 3224, 2655, 9957, 8978, 3714, 9957, 22807, 8978, 376, 6156, 3555, 9381, 13546, 376, 34105, 12399, 4724, 9381, 13546, 376, 8978, 34105], "avg_logprob": -0.18075771037846394, "compression_ratio": 1.406060606060606, "no_speech_prob": 6.198883056640625e-06, "words": [{"start": 2155.61, "end": 2156.05, "word": "أصغر", "probability": 0.93896484375}, {"start": 2156.05, "end": 2156.17, "word": " أو", "probability": 0.68212890625}, {"start": 2156.17, "end": 2156.61, "word": " يساوي", "probability": 0.933837890625}, {"start": 2156.61, "end": 2156.87, "word": " الـ", "probability": 0.680419921875}, {"start": 2156.87, "end": 2157.15, "word": " absolute", "probability": 0.48876953125}, {"start": 2157.15, "end": 2157.51, "word": " value", "probability": 0.9853515625}, {"start": 2157.51, "end": 2157.77, "word": " للـ", "probability": 0.608154296875}, {"start": 2157.77, "end": 2158.23, "word": " XM", "probability": 0.501953125}, {"start": 2158.23, "end": 2159.47, "word": " مضروبة", "probability": 0.942626953125}, {"start": 2159.47, "end": 2159.83, "word": " في", "probability": 0.92529296875}, {"start": 2159.83, "end": 2160.27, "word": " واحد", "probability": 0.923095703125}, {"start": 2160.27, "end": 2160.83, "word": " ناقص", "probability": 0.9580078125}, {"start": 2160.83, "end": 2161.19, "word": " A", "probability": 0.65673828125}, {"start": 2161.19, "end": 2162.23, "word": " على", "probability": 0.74609375}, {"start": 2162.23, "end": 2162.75, "word": " M،", "probability": 0.644287109375}, {"start": 2162.75, "end": 2164.75, "word": " مظبوط؟", "probability": 0.9342447916666666}, {"start": 2164.75, "end": 2165.17, "word": " طيب،", "probability": 0.903564453125}, {"start": 2165.17, "end": 2165.45, "word": " الآن", "probability": 0.6783447265625}, {"start": 2165.45, "end": 2166.13, "word": " اضربولي", "probability": 0.88388671875}, {"start": 2166.13, "end": 2166.91, "word": " الجهتين", "probability": 0.9658203125}, {"start": 2166.91, "end": 2167.11, "word": " في", "probability": 0.95654296875}, {"start": 2167.11, "end": 2167.57, "word": " مين؟", "probability": 0.8909505208333334}, {"start": 2167.57, "end": 2167.67, "word": " في", "probability": 0.921875}, {"start": 2167.67, "end": 2167.97, "word": " M", "probability": 0.9873046875}, {"start": 2167.97, "end": 2169.01, "word": " فبصير", "probability": 0.839111328125}, {"start": 2169.01, "end": 2169.25, "word": " M", "probability": 0.9814453125}, {"start": 2169.25, "end": 2170.33, "word": " هنا،", "probability": 0.683349609375}, {"start": 2170.33, "end": 2171.13, "word": " بصير", "probability": 0.8072916666666666}, {"start": 2171.13, "end": 2171.35, "word": " M", "probability": 0.994140625}, {"start": 2171.35, "end": 2171.49, "word": " في", "probability": 0.7431640625}, {"start": 2171.49, "end": 2171.71, "word": " هنا", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 98, "seek": 220186, "start": 2172.74, "end": 2201.86, "text": "هو بيكون حصلنا على M في هذه و M في هذا المقدار دخلولي ال M الآن جوا فبصير absolute value XM زي ما هي أنا بصير M ناقص اللي هي AHA الان هذه بتساوي الان كتبتها على صورة الان ضفت اللي هو واحد و طرحت واحد اللي هي هي عندي هنا طرحت واحد و هنا ضفت الواحد فصارت عبارة عن M ناقص واحد XM ناقص A minus واحد XM", "tokens": [3224, 2407, 4724, 1829, 30544, 11331, 36520, 8315, 15844, 376, 8978, 29538, 4032, 376, 8978, 23758, 9673, 28543, 9640, 11778, 9778, 1211, 12610, 1829, 2423, 376, 6024, 48506, 10874, 14407, 6156, 3555, 9381, 13546, 8236, 2158, 1783, 44, 30767, 1829, 19446, 39896, 41850, 4724, 9381, 13546, 376, 8717, 995, 4587, 9381, 13672, 1829, 39896, 316, 4983, 2423, 7649, 29538, 39894, 3794, 995, 45865, 2423, 7649, 9122, 2655, 3555, 2655, 11296, 15844, 20328, 13063, 3660, 2423, 7649, 48812, 5172, 2655, 13672, 1829, 31439, 36764, 24401, 4032, 23032, 2288, 33753, 36764, 24401, 13672, 1829, 39896, 39896, 18871, 16254, 34105, 23032, 2288, 33753, 36764, 24401, 4032, 34105, 48812, 5172, 2655, 2423, 14407, 24401, 6156, 9381, 9640, 2655, 6225, 3555, 9640, 3660, 18871, 376, 8717, 995, 4587, 9381, 36764, 24401, 1783, 44, 8717, 995, 4587, 9381, 316, 3175, 36764, 24401, 1783, 44], "avg_logprob": -0.1691771567725449, "compression_ratio": 1.9799196787148594, "no_speech_prob": 4.947185516357422e-06, "words": [{"start": 2172.74, "end": 2172.98, "word": "هو", "probability": 0.5361328125}, {"start": 2172.98, "end": 2173.16, "word": " بيكون", "probability": 0.86962890625}, {"start": 2173.16, "end": 2173.64, "word": " حصلنا", "probability": 0.7888997395833334}, {"start": 2173.64, "end": 2173.9, "word": " على", "probability": 0.91015625}, {"start": 2173.9, "end": 2174.46, "word": " M", "probability": 0.70947265625}, {"start": 2174.46, "end": 2174.64, "word": " في", "probability": 0.841796875}, {"start": 2174.64, "end": 2174.98, "word": " هذه", "probability": 0.77783203125}, {"start": 2174.98, "end": 2175.44, "word": " و", "probability": 0.8955078125}, {"start": 2175.44, "end": 2175.66, "word": " M", "probability": 0.8759765625}, {"start": 2175.66, "end": 2175.84, "word": " في", "probability": 0.96142578125}, {"start": 2175.84, "end": 2176.22, "word": " هذا", "probability": 0.9423828125}, {"start": 2176.22, "end": 2176.92, "word": " المقدار", "probability": 0.7706705729166666}, {"start": 2176.92, "end": 2177.8, "word": " دخلولي", "probability": 0.93466796875}, {"start": 2177.8, "end": 2177.94, "word": " ال", "probability": 0.857421875}, {"start": 2177.94, "end": 2178.14, "word": " M", "probability": 0.677734375}, {"start": 2178.14, "end": 2178.42, "word": " الآن", "probability": 0.612060546875}, {"start": 2178.42, "end": 2178.86, "word": " جوا", "probability": 0.88330078125}, {"start": 2178.86, "end": 2179.7, "word": " فبصير", "probability": 0.902587890625}, {"start": 2179.7, "end": 2180.02, "word": " absolute", "probability": 0.52783203125}, {"start": 2180.02, "end": 2180.34, "word": " value", "probability": 0.9833984375}, {"start": 2180.34, "end": 2180.74, "word": " XM", "probability": 0.622802734375}, {"start": 2180.74, "end": 2180.94, "word": " زي", "probability": 0.942138671875}, {"start": 2180.94, "end": 2181.02, "word": " ما", "probability": 0.94091796875}, {"start": 2181.02, "end": 2181.34, "word": " هي", "probability": 0.8388671875}, {"start": 2181.34, "end": 2181.84, "word": " أنا", "probability": 0.36669921875}, {"start": 2181.84, "end": 2182.24, "word": " بصير", "probability": 0.9451497395833334}, {"start": 2182.24, "end": 2182.58, "word": " M", "probability": 0.92333984375}, {"start": 2182.58, "end": 2183.26, "word": " ناقص", "probability": 0.909912109375}, {"start": 2183.26, "end": 2183.42, "word": " اللي", "probability": 0.7568359375}, {"start": 2183.42, "end": 2183.58, "word": " هي", "probability": 0.845703125}, {"start": 2183.58, "end": 2184.16, "word": " AHA", "probability": 0.626708984375}, {"start": 2184.16, "end": 2185.34, "word": " الان", "probability": 0.6121826171875}, {"start": 2185.34, "end": 2185.74, "word": " هذه", "probability": 0.50634765625}, {"start": 2185.74, "end": 2186.38, "word": " بتساوي", "probability": 0.934814453125}, {"start": 2186.38, "end": 2187.74, "word": " الان", "probability": 0.6363525390625}, {"start": 2187.74, "end": 2188.68, "word": " كتبتها", "probability": 0.9017578125}, {"start": 2188.68, "end": 2188.84, "word": " على", "probability": 0.89404296875}, {"start": 2188.84, "end": 2189.4, "word": " صورة", "probability": 0.9700520833333334}, {"start": 2189.4, "end": 2190.3, "word": " الان", "probability": 0.875732421875}, {"start": 2190.3, "end": 2191.02, "word": " ضفت", "probability": 0.955078125}, {"start": 2191.02, "end": 2191.44, "word": " اللي", "probability": 0.971923828125}, {"start": 2191.44, "end": 2191.68, "word": " هو", "probability": 0.98046875}, {"start": 2191.68, "end": 2192.18, "word": " واحد", "probability": 0.909912109375}, {"start": 2192.18, "end": 2192.28, "word": " و", "probability": 0.9365234375}, {"start": 2192.28, "end": 2192.58, "word": " طرحت", "probability": 0.8369140625}, {"start": 2192.58, "end": 2193.14, "word": " واحد", "probability": 0.990966796875}, {"start": 2193.14, "end": 2193.8, "word": " اللي", "probability": 0.983642578125}, {"start": 2193.8, "end": 2194.08, "word": " هي", "probability": 0.9052734375}, {"start": 2194.08, "end": 2194.38, "word": " هي", "probability": 0.2347412109375}, {"start": 2194.38, "end": 2194.8, "word": " عندي", "probability": 0.8427734375}, {"start": 2194.8, "end": 2195.08, "word": " هنا", "probability": 0.81005859375}, {"start": 2195.08, "end": 2195.72, "word": " طرحت", "probability": 0.9768880208333334}, {"start": 2195.72, "end": 2196.2, "word": " واحد", "probability": 0.99365234375}, {"start": 2196.2, "end": 2196.62, "word": " و", "probability": 0.64697265625}, {"start": 2196.62, "end": 2196.82, "word": " هنا", "probability": 0.83740234375}, {"start": 2196.82, "end": 2197.18, "word": " ضفت", "probability": 0.9842122395833334}, {"start": 2197.18, "end": 2197.7, "word": " الواحد", "probability": 0.9580078125}, {"start": 2197.7, "end": 2198.5, "word": " فصارت", "probability": 0.964111328125}, {"start": 2198.5, "end": 2198.76, "word": " عبارة", "probability": 0.9888916015625}, {"start": 2198.76, "end": 2198.92, "word": " عن", "probability": 0.98193359375}, {"start": 2198.92, "end": 2199.16, "word": " M", "probability": 0.9541015625}, {"start": 2199.16, "end": 2199.52, "word": " ناقص", "probability": 0.927490234375}, {"start": 2199.52, "end": 2199.8, "word": " واحد", "probability": 0.979248046875}, {"start": 2199.8, "end": 2200.2, "word": " XM", "probability": 0.97021484375}, {"start": 2200.2, "end": 2200.58, "word": " ناقص", "probability": 0.9832763671875}, {"start": 2200.58, "end": 2200.72, "word": " A", "probability": 0.921875}, {"start": 2200.72, "end": 2200.98, "word": " minus", "probability": 0.288330078125}, {"start": 2200.98, "end": 2201.36, "word": " واحد", "probability": 0.974609375}, {"start": 2201.36, "end": 2201.86, "word": " XM", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 99, "seek": 222341, "start": 2202.25, "end": 2223.41, "text": "م أكبر يساوي K صار هذا المقدار بعد ما ضفت اللي هو ناقص XM وطرحت ناقص ال XM وضفت اللي هو ناقص اللي هو ضفة ال XM فصار عندي المقدار هو نفسه هذا زي ما قلت لكم لأن من نقطة فلوس ذات عندي ال M ناقص واحد في ال XM", "tokens": [2304, 5551, 4117, 26890, 7251, 3794, 995, 45865, 591, 20328, 9640, 23758, 9673, 28543, 9640, 39182, 19446, 48812, 5172, 2655, 13672, 1829, 31439, 8717, 995, 4587, 9381, 1783, 44, 4032, 9566, 2288, 33753, 8717, 995, 4587, 9381, 2423, 1783, 44, 4032, 11242, 5172, 2655, 13672, 1829, 31439, 8717, 995, 4587, 9381, 13672, 1829, 31439, 48812, 5172, 3660, 2423, 1783, 44, 6156, 9381, 9640, 18871, 16254, 9673, 28543, 9640, 31439, 8717, 36178, 3224, 23758, 30767, 1829, 19446, 12174, 1211, 2655, 5296, 24793, 5296, 33456, 9154, 8717, 47432, 3660, 6156, 1211, 41779, 29910, 9307, 18871, 16254, 2423, 376, 8717, 995, 4587, 9381, 36764, 24401, 8978, 2423, 1783, 44], "avg_logprob": -0.17056074097891835, "compression_ratio": 1.9942857142857142, "no_speech_prob": 0.00019371509552001953, "words": [{"start": 2202.25, "end": 2202.57, "word": "م", "probability": 0.273681640625}, {"start": 2202.57, "end": 2203.01, "word": " أكبر", "probability": 0.8113606770833334}, {"start": 2203.01, "end": 2203.55, "word": " يساوي", "probability": 0.705078125}, {"start": 2203.55, "end": 2203.97, "word": " K", "probability": 0.320556640625}, {"start": 2203.97, "end": 2204.59, "word": " صار", "probability": 0.7587890625}, {"start": 2204.59, "end": 2204.83, "word": " هذا", "probability": 0.89599609375}, {"start": 2204.83, "end": 2205.55, "word": " المقدار", "probability": 0.9842122395833334}, {"start": 2205.55, "end": 2205.87, "word": " بعد", "probability": 0.95703125}, {"start": 2205.87, "end": 2206.11, "word": " ما", "probability": 0.681640625}, {"start": 2206.11, "end": 2206.49, "word": " ضفت", "probability": 0.8092447916666666}, {"start": 2206.49, "end": 2206.63, "word": " اللي", "probability": 0.807373046875}, {"start": 2206.63, "end": 2206.75, "word": " هو", "probability": 0.8935546875}, {"start": 2206.75, "end": 2207.11, "word": " ناقص", "probability": 0.9769287109375}, {"start": 2207.11, "end": 2207.61, "word": " XM", "probability": 0.673583984375}, {"start": 2207.61, "end": 2209.65, "word": " وطرحت", "probability": 0.673797607421875}, {"start": 2209.65, "end": 2210.01, "word": " ناقص", "probability": 0.97021484375}, {"start": 2210.01, "end": 2210.11, "word": " ال", "probability": 0.62255859375}, {"start": 2210.11, "end": 2210.45, "word": " XM", "probability": 0.81787109375}, {"start": 2210.45, "end": 2211.11, "word": " وضفت", "probability": 0.961669921875}, {"start": 2211.11, "end": 2211.25, "word": " اللي", "probability": 0.983642578125}, {"start": 2211.25, "end": 2211.55, "word": " هو", "probability": 0.97802734375}, {"start": 2211.55, "end": 2212.61, "word": " ناقص", "probability": 0.958251953125}, {"start": 2212.61, "end": 2213.07, "word": " اللي", "probability": 0.787109375}, {"start": 2213.07, "end": 2213.53, "word": " هو", "probability": 0.98291015625}, {"start": 2213.53, "end": 2215.03, "word": " ضفة", "probability": 0.8058268229166666}, {"start": 2215.03, "end": 2215.15, "word": " ال", "probability": 0.755859375}, {"start": 2215.15, "end": 2215.61, "word": " XM", "probability": 0.975830078125}, {"start": 2215.61, "end": 2216.29, "word": " فصار", "probability": 0.974609375}, {"start": 2216.29, "end": 2216.59, "word": " عندي", "probability": 0.798583984375}, {"start": 2216.59, "end": 2217.13, "word": " المقدار", "probability": 0.9912109375}, {"start": 2217.13, "end": 2217.33, "word": " هو", "probability": 0.9736328125}, {"start": 2217.33, "end": 2217.77, "word": " نفسه", "probability": 0.9093424479166666}, {"start": 2217.77, "end": 2218.17, "word": " هذا", "probability": 0.97265625}, {"start": 2218.17, "end": 2218.61, "word": " زي", "probability": 0.92041015625}, {"start": 2218.61, "end": 2218.71, "word": " ما", "probability": 0.9580078125}, {"start": 2218.71, "end": 2218.93, "word": " قلت", "probability": 0.9225260416666666}, {"start": 2218.93, "end": 2219.25, "word": " لكم", "probability": 0.845947265625}, {"start": 2219.25, "end": 2219.83, "word": " لأن", "probability": 0.880615234375}, {"start": 2219.83, "end": 2219.97, "word": " من", "probability": 0.9921875}, {"start": 2219.97, "end": 2220.35, "word": " نقطة", "probability": 0.9658203125}, {"start": 2220.35, "end": 2220.63, "word": " فلوس", "probability": 0.7911783854166666}, {"start": 2220.63, "end": 2221.09, "word": " ذات", "probability": 0.97119140625}, {"start": 2221.09, "end": 2221.81, "word": " عندي", "probability": 0.78466796875}, {"start": 2221.81, "end": 2221.95, "word": " ال", "probability": 0.5625}, {"start": 2221.95, "end": 2222.13, "word": " M", "probability": 0.81201171875}, {"start": 2222.13, "end": 2222.45, "word": " ناقص", "probability": 0.9710693359375}, {"start": 2222.45, "end": 2222.73, "word": " واحد", "probability": 0.943359375}, {"start": 2222.73, "end": 2222.85, "word": " في", "probability": 0.923828125}, {"start": 2222.85, "end": 2222.97, "word": " ال", "probability": 0.599609375}, {"start": 2222.97, "end": 2223.41, "word": " XM", "probability": 0.978759765625}], "temperature": 1.0}, {"id": 100, "seek": 223934, "start": 2224.48, "end": 2239.34, "text": "نقص جيبلي هذه هنا وهذه وديها هناك فبصير عندي M-1 في XM ناقص لغادة M في XM زي 1 أكبر أو يساوي مين اللي جت هنا هذه اللي A-1 في XM", "tokens": [1863, 4587, 9381, 10874, 1829, 3555, 20292, 29538, 34105, 37037, 24192, 4032, 16254, 11296, 34105, 4117, 6156, 3555, 9381, 13546, 18871, 16254, 376, 12, 16, 8978, 1783, 44, 8717, 995, 4587, 9381, 5296, 17082, 18513, 3660, 376, 8978, 1783, 44, 30767, 1829, 502, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 3714, 9957, 13672, 1829, 10874, 2655, 34105, 29538, 13672, 1829, 316, 12, 16, 8978, 1783, 44], "avg_logprob": -0.29664520612534356, "compression_ratio": 1.532846715328467, "no_speech_prob": 8.225440979003906e-06, "words": [{"start": 2224.4799999999996, "end": 2225.24, "word": "نقص", "probability": 0.6273600260416666}, {"start": 2225.24, "end": 2226.0, "word": " جيبلي", "probability": 0.66046142578125}, {"start": 2226.0, "end": 2226.28, "word": " هذه", "probability": 0.81884765625}, {"start": 2226.28, "end": 2226.68, "word": " هنا", "probability": 0.2041015625}, {"start": 2226.68, "end": 2228.14, "word": " وهذه", "probability": 0.84912109375}, {"start": 2228.14, "end": 2228.58, "word": " وديها", "probability": 0.869140625}, {"start": 2228.58, "end": 2229.26, "word": " هناك", "probability": 0.991943359375}, {"start": 2229.26, "end": 2229.78, "word": " فبصير", "probability": 0.893798828125}, {"start": 2229.78, "end": 2230.1, "word": " عندي", "probability": 0.6583251953125}, {"start": 2230.1, "end": 2230.52, "word": " M", "probability": 0.5341796875}, {"start": 2230.52, "end": 2231.48, "word": "-1", "probability": 0.563232421875}, {"start": 2231.48, "end": 2231.68, "word": " في", "probability": 0.314208984375}, {"start": 2231.68, "end": 2232.14, "word": " XM", "probability": 0.825439453125}, {"start": 2232.14, "end": 2233.16, "word": " ناقص", "probability": 0.83990478515625}, {"start": 2233.16, "end": 2233.68, "word": " لغادة", "probability": 0.7406005859375}, {"start": 2233.68, "end": 2233.94, "word": " M", "probability": 0.9609375}, {"start": 2233.94, "end": 2234.1, "word": " في", "probability": 0.9306640625}, {"start": 2234.1, "end": 2234.4, "word": " XM", "probability": 0.978271484375}, {"start": 2234.4, "end": 2234.6, "word": " زي", "probability": 0.70263671875}, {"start": 2234.6, "end": 2234.94, "word": " 1", "probability": 0.84423828125}, {"start": 2234.94, "end": 2235.4, "word": " أكبر", "probability": 0.9117838541666666}, {"start": 2235.4, "end": 2235.56, "word": " أو", "probability": 0.91552734375}, {"start": 2235.56, "end": 2235.94, "word": " يساوي", "probability": 0.59954833984375}, {"start": 2235.94, "end": 2236.2, "word": " مين", "probability": 0.6990966796875}, {"start": 2236.2, "end": 2236.36, "word": " اللي", "probability": 0.937744140625}, {"start": 2236.36, "end": 2236.6, "word": " جت", "probability": 0.873291015625}, {"start": 2236.6, "end": 2236.96, "word": " هنا", "probability": 0.8818359375}, {"start": 2236.96, "end": 2237.66, "word": " هذه", "probability": 0.31591796875}, {"start": 2237.66, "end": 2237.82, "word": " اللي", "probability": 0.6468505859375}, {"start": 2237.82, "end": 2238.04, "word": " A", "probability": 0.61376953125}, {"start": 2238.04, "end": 2238.66, "word": "-1", "probability": 0.919677734375}, {"start": 2238.66, "end": 2238.86, "word": " في", "probability": 0.97216796875}, {"start": 2238.86, "end": 2239.34, "word": " XM", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 101, "seek": 225471, "start": 2239.61, "end": 2254.71, "text": "اللي هو هذه هتكون أكبر من 0 for M أكبر أوي ساوة K لإن الـA اللي عندنا ايش مفترضينها أكبر من 1 وهذا absolute value إذا صار المقدار هذا أكبر من 0 هذا إيه معناه؟", "tokens": [6027, 20292, 31439, 29538, 8032, 2655, 30544, 5551, 4117, 26890, 9154, 1958, 337, 376, 5551, 4117, 26890, 34051, 1829, 8608, 995, 2407, 3660, 591, 5296, 28814, 1863, 2423, 39184, 32, 13672, 1829, 43242, 8315, 1975, 1829, 8592, 3714, 5172, 2655, 43042, 9957, 11296, 5551, 4117, 26890, 9154, 502, 37037, 15730, 8236, 2158, 11933, 15730, 20328, 9640, 9673, 28543, 9640, 23758, 5551, 4117, 26890, 9154, 1958, 23758, 11933, 1829, 3224, 20449, 8315, 3224, 22807], "avg_logprob": -0.2580236345529556, "compression_ratio": 1.5204678362573099, "no_speech_prob": 7.092952728271484e-06, "words": [{"start": 2239.61, "end": 2240.09, "word": "اللي", "probability": 0.60546875}, {"start": 2240.09, "end": 2240.45, "word": " هو", "probability": 0.70654296875}, {"start": 2240.45, "end": 2241.15, "word": " هذه", "probability": 0.81884765625}, {"start": 2241.15, "end": 2241.85, "word": " هتكون", "probability": 0.91748046875}, {"start": 2241.85, "end": 2242.71, "word": " أكبر", "probability": 0.8831380208333334}, {"start": 2242.71, "end": 2242.91, "word": " من", "probability": 0.99462890625}, {"start": 2242.91, "end": 2243.21, "word": " 0", "probability": 0.3447265625}, {"start": 2243.21, "end": 2243.61, "word": " for", "probability": 0.6806640625}, {"start": 2243.61, "end": 2243.87, "word": " M", "probability": 0.7666015625}, {"start": 2243.87, "end": 2244.29, "word": " أكبر", "probability": 0.8948567708333334}, {"start": 2244.29, "end": 2244.53, "word": " أوي", "probability": 0.65380859375}, {"start": 2244.53, "end": 2244.83, "word": " ساوة", "probability": 0.711181640625}, {"start": 2244.83, "end": 2245.07, "word": " K", "probability": 0.41552734375}, {"start": 2245.07, "end": 2245.77, "word": " لإن", "probability": 0.8984375}, {"start": 2245.77, "end": 2246.25, "word": " الـA", "probability": 0.541259765625}, {"start": 2246.25, "end": 2246.41, "word": " اللي", "probability": 0.958740234375}, {"start": 2246.41, "end": 2246.73, "word": " عندنا", "probability": 0.812255859375}, {"start": 2246.73, "end": 2246.87, "word": " ايش", "probability": 0.7106526692708334}, {"start": 2246.87, "end": 2247.69, "word": " مفترضينها", "probability": 0.939208984375}, {"start": 2247.69, "end": 2248.39, "word": " أكبر", "probability": 0.9287109375}, {"start": 2248.39, "end": 2248.53, "word": " من", "probability": 0.99560546875}, {"start": 2248.53, "end": 2248.87, "word": " 1", "probability": 0.54638671875}, {"start": 2248.87, "end": 2249.29, "word": " وهذا", "probability": 0.707275390625}, {"start": 2249.29, "end": 2249.63, "word": " absolute", "probability": 0.677734375}, {"start": 2249.63, "end": 2250.19, "word": " value", "probability": 0.9951171875}, {"start": 2250.19, "end": 2250.65, "word": " إذا", "probability": 0.790283203125}, {"start": 2250.65, "end": 2250.97, "word": " صار", "probability": 0.932373046875}, {"start": 2250.97, "end": 2251.55, "word": " المقدار", "probability": 0.9627278645833334}, {"start": 2251.55, "end": 2251.85, "word": " هذا", "probability": 0.89306640625}, {"start": 2251.85, "end": 2252.25, "word": " أكبر", "probability": 0.9679361979166666}, {"start": 2252.25, "end": 2252.49, "word": " من", "probability": 0.99609375}, {"start": 2252.49, "end": 2253.25, "word": " 0", "probability": 0.3955078125}, {"start": 2253.25, "end": 2253.93, "word": " هذا", "probability": 0.72119140625}, {"start": 2253.93, "end": 2254.17, "word": " إيه", "probability": 0.6813151041666666}, {"start": 2254.17, "end": 2254.71, "word": " معناه؟", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 102, "seek": 228410, "start": 2255.1, "end": 2284.1, "text": "معناه أن الـ sequence اللي الـ M X M زائد واحد is decreasing sequence لأن اللي قبل ناقص اللي بعيد أكبر أو يساوي سفر يعني صار اللي هو اللي بعيد أشماله أصغر من مين من اللي قبل يعني صارت ال sequence M X M زائد واحد is a decreasing sequence for مين M أكبر أو يساوي اتنين", "tokens": [2304, 3615, 8315, 3224, 14739, 2423, 39184, 8310, 13672, 1829, 2423, 39184, 376, 1783, 376, 30767, 16373, 3215, 36764, 24401, 307, 23223, 8310, 5296, 33456, 13672, 1829, 12174, 36150, 8717, 995, 4587, 9381, 13672, 1829, 45030, 25708, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 37495, 22653, 20328, 9640, 13672, 1829, 31439, 13672, 1829, 45030, 25708, 5551, 8592, 2304, 6027, 3224, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 13672, 1829, 12174, 36150, 37495, 22653, 20328, 9640, 2655, 2423, 8310, 376, 1783, 376, 30767, 16373, 3215, 36764, 24401, 307, 257, 23223, 8310, 337, 3714, 9957, 376, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957], "avg_logprob": -0.15764509500669582, "compression_ratio": 2.1302083333333335, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 2255.1, "end": 2255.72, "word": "معناه", "probability": 0.8101806640625}, {"start": 2255.72, "end": 2255.96, "word": " أن", "probability": 0.446533203125}, {"start": 2255.96, "end": 2256.28, "word": " الـ", "probability": 0.5626220703125}, {"start": 2256.28, "end": 2257.28, "word": " sequence", "probability": 0.63916015625}, {"start": 2257.28, "end": 2258.44, "word": " اللي", "probability": 0.6234130859375}, {"start": 2258.44, "end": 2258.64, "word": " الـ", "probability": 0.665283203125}, {"start": 2258.64, "end": 2258.84, "word": " M", "probability": 0.595703125}, {"start": 2258.84, "end": 2260.0, "word": " X", "probability": 0.1571044921875}, {"start": 2260.0, "end": 2260.2, "word": " M", "probability": 0.8359375}, {"start": 2260.2, "end": 2260.56, "word": " زائد", "probability": 0.6856282552083334}, {"start": 2260.56, "end": 2261.06, "word": " واحد", "probability": 0.8115234375}, {"start": 2261.06, "end": 2261.82, "word": " is", "probability": 0.5234375}, {"start": 2261.82, "end": 2262.86, "word": " decreasing", "probability": 0.8486328125}, {"start": 2262.86, "end": 2263.68, "word": " sequence", "probability": 0.98388671875}, {"start": 2263.68, "end": 2264.32, "word": " لأن", "probability": 0.882568359375}, {"start": 2264.32, "end": 2264.56, "word": " اللي", "probability": 0.886962890625}, {"start": 2264.56, "end": 2264.98, "word": " قبل", "probability": 0.90966796875}, {"start": 2264.98, "end": 2266.04, "word": " ناقص", "probability": 0.876708984375}, {"start": 2266.04, "end": 2266.22, "word": " اللي", "probability": 0.96826171875}, {"start": 2266.22, "end": 2266.54, "word": " بعيد", "probability": 0.724365234375}, {"start": 2266.54, "end": 2266.88, "word": " أكبر", "probability": 0.9612630208333334}, {"start": 2266.88, "end": 2267.0, "word": " أو", "probability": 0.970703125}, {"start": 2267.0, "end": 2267.28, "word": " يساوي", "probability": 0.958984375}, {"start": 2267.28, "end": 2267.7, "word": " سفر", "probability": 0.8623046875}, {"start": 2267.7, "end": 2268.48, "word": " يعني", "probability": 0.9306640625}, {"start": 2268.48, "end": 2268.82, "word": " صار", "probability": 0.91259765625}, {"start": 2268.82, "end": 2269.04, "word": " اللي", "probability": 0.9912109375}, {"start": 2269.04, "end": 2269.28, "word": " هو", "probability": 0.90380859375}, {"start": 2269.28, "end": 2269.96, "word": " اللي", "probability": 0.949951171875}, {"start": 2269.96, "end": 2270.78, "word": " بعيد", "probability": 0.861083984375}, {"start": 2270.78, "end": 2272.18, "word": " أشماله", "probability": 0.8177734375}, {"start": 2272.18, "end": 2272.82, "word": " أصغر", "probability": 0.991943359375}, {"start": 2272.82, "end": 2273.0, "word": " من", "probability": 0.9951171875}, {"start": 2273.0, "end": 2273.46, "word": " مين", "probability": 0.882568359375}, {"start": 2273.46, "end": 2274.06, "word": " من", "probability": 0.94091796875}, {"start": 2274.06, "end": 2274.3, "word": " اللي", "probability": 0.9775390625}, {"start": 2274.3, "end": 2274.62, "word": " قبل", "probability": 0.986328125}, {"start": 2274.62, "end": 2274.94, "word": " يعني", "probability": 0.958251953125}, {"start": 2274.94, "end": 2275.4, "word": " صارت", "probability": 0.9622395833333334}, {"start": 2275.4, "end": 2275.78, "word": " ال", "probability": 0.76220703125}, {"start": 2275.78, "end": 2276.72, "word": " sequence", "probability": 0.68212890625}, {"start": 2276.72, "end": 2277.7, "word": " M", "probability": 0.80224609375}, {"start": 2277.7, "end": 2278.22, "word": " X", "probability": 0.98876953125}, {"start": 2278.22, "end": 2278.42, "word": " M", "probability": 0.984375}, {"start": 2278.42, "end": 2278.76, "word": " زائد", "probability": 0.89453125}, {"start": 2278.76, "end": 2279.14, "word": " واحد", "probability": 0.984619140625}, {"start": 2279.14, "end": 2279.38, "word": " is", "probability": 0.9150390625}, {"start": 2279.38, "end": 2279.58, "word": " a", "probability": 0.8671875}, {"start": 2279.58, "end": 2279.96, "word": " decreasing", "probability": 0.9482421875}, {"start": 2279.96, "end": 2280.52, "word": " sequence", "probability": 0.978515625}, {"start": 2280.52, "end": 2280.82, "word": " for", "probability": 0.96337890625}, {"start": 2280.82, "end": 2281.34, "word": " مين", "probability": 0.90771484375}, {"start": 2281.34, "end": 2282.04, "word": " M", "probability": 0.787109375}, {"start": 2282.04, "end": 2282.54, "word": " أكبر", "probability": 0.9762369791666666}, {"start": 2282.54, "end": 2282.7, "word": " أو", "probability": 0.9599609375}, {"start": 2282.7, "end": 2283.42, "word": " يساوي", "probability": 0.98779296875}, {"start": 2283.42, "end": 2284.1, "word": " اتنين", "probability": 0.9227294921875}], "temperature": 1.0}, {"id": 103, "seek": 231329, "start": 2284.57, "end": 2313.29, "text": "الان هذه اللي هي ال relation اللي عندي اللي هي 12 بدنا اللي هو نجمحها for K for M بتساوي K لعند مين لعند and and we note the left side تلسكوب اللي هو نشوف كيف ال left side هذا تلسكوب واضح انه تلسكوب we find عندي أخد ال summation من عند", "tokens": [6027, 7649, 29538, 13672, 1829, 39896, 2423, 9721, 13672, 1829, 18871, 16254, 13672, 1829, 39896, 2272, 47525, 8315, 13672, 1829, 31439, 8717, 7435, 2304, 5016, 11296, 337, 591, 337, 376, 39894, 3794, 995, 45865, 591, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 293, 293, 321, 3637, 264, 1411, 1252, 6055, 1211, 3794, 4117, 37746, 13672, 1829, 31439, 8717, 8592, 38688, 9122, 33911, 2423, 1411, 1252, 23758, 6055, 1211, 3794, 4117, 37746, 4032, 46958, 5016, 16472, 3224, 6055, 1211, 3794, 4117, 37746, 321, 915, 18871, 16254, 5551, 9778, 3215, 2423, 28811, 9154, 43242], "avg_logprob": -0.24817155650321474, "compression_ratio": 1.7438423645320198, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2284.57, "end": 2285.15, "word": "الان", "probability": 0.839599609375}, {"start": 2285.15, "end": 2285.79, "word": " هذه", "probability": 0.6171875}, {"start": 2285.79, "end": 2286.09, "word": " اللي", "probability": 0.718994140625}, {"start": 2286.09, "end": 2286.39, "word": " هي", "probability": 0.9423828125}, {"start": 2286.39, "end": 2286.65, "word": " ال", "probability": 0.88671875}, {"start": 2286.65, "end": 2287.11, "word": " relation", "probability": 0.89697265625}, {"start": 2287.11, "end": 2288.19, "word": " اللي", "probability": 0.939697265625}, {"start": 2288.19, "end": 2288.69, "word": " عندي", "probability": 0.688720703125}, {"start": 2288.69, "end": 2289.05, "word": " اللي", "probability": 0.87646484375}, {"start": 2289.05, "end": 2289.31, "word": " هي", "probability": 0.95751953125}, {"start": 2289.31, "end": 2289.99, "word": " 12", "probability": 0.399658203125}, {"start": 2289.99, "end": 2290.81, "word": " بدنا", "probability": 0.6541748046875}, {"start": 2290.81, "end": 2291.43, "word": " اللي", "probability": 0.915771484375}, {"start": 2291.43, "end": 2291.79, "word": " هو", "probability": 0.98193359375}, {"start": 2291.79, "end": 2293.15, "word": " نجمحها", "probability": 0.9796875}, {"start": 2293.15, "end": 2293.73, "word": " for", "probability": 0.8681640625}, {"start": 2293.73, "end": 2294.31, "word": " K", "probability": 0.50634765625}, {"start": 2294.31, "end": 2295.21, "word": " for", "probability": 0.78662109375}, {"start": 2295.21, "end": 2295.43, "word": " M", "probability": 0.80126953125}, {"start": 2295.43, "end": 2295.83, "word": " بتساوي", "probability": 0.7095947265625}, {"start": 2295.83, "end": 2296.25, "word": " K", "probability": 0.86767578125}, {"start": 2296.25, "end": 2296.79, "word": " لعند", "probability": 0.7530924479166666}, {"start": 2296.79, "end": 2297.23, "word": " مين", "probability": 0.967041015625}, {"start": 2297.23, "end": 2298.69, "word": " لعند", "probability": 0.7002766927083334}, {"start": 2298.69, "end": 2299.07, "word": " and", "probability": 0.470703125}, {"start": 2299.07, "end": 2299.45, "word": " and", "probability": 0.5068359375}, {"start": 2299.45, "end": 2299.73, "word": " we", "probability": 0.49658203125}, {"start": 2299.73, "end": 2300.27, "word": " note", "probability": 0.7705078125}, {"start": 2300.27, "end": 2300.59, "word": " the", "probability": 0.84326171875}, {"start": 2300.59, "end": 2300.81, "word": " left", "probability": 0.92431640625}, {"start": 2300.81, "end": 2301.27, "word": " side", "probability": 0.81884765625}, {"start": 2301.27, "end": 2302.29, "word": " تلسكوب", "probability": 0.7185302734375}, {"start": 2302.29, "end": 2303.23, "word": " اللي", "probability": 0.983154296875}, {"start": 2303.23, "end": 2303.53, "word": " هو", "probability": 0.9892578125}, {"start": 2303.53, "end": 2304.05, "word": " نشوف", "probability": 0.93701171875}, {"start": 2304.05, "end": 2304.29, "word": " كيف", "probability": 0.97216796875}, {"start": 2304.29, "end": 2304.43, "word": " ال", "probability": 0.80908203125}, {"start": 2304.43, "end": 2304.63, "word": " left", "probability": 0.89453125}, {"start": 2304.63, "end": 2305.03, "word": " side", "probability": 0.7978515625}, {"start": 2305.03, "end": 2305.49, "word": " هذا", "probability": 0.8603515625}, {"start": 2305.49, "end": 2306.49, "word": " تلسكوب", "probability": 0.9396484375}, {"start": 2306.49, "end": 2307.07, "word": " واضح", "probability": 0.9718424479166666}, {"start": 2307.07, "end": 2307.25, "word": " انه", "probability": 0.863525390625}, {"start": 2307.25, "end": 2307.77, "word": " تلسكوب", "probability": 0.98251953125}, {"start": 2307.77, "end": 2308.25, "word": " we", "probability": 0.42578125}, {"start": 2308.25, "end": 2308.75, "word": " find", "probability": 0.9267578125}, {"start": 2308.75, "end": 2310.65, "word": " عندي", "probability": 0.6715087890625}, {"start": 2310.65, "end": 2311.39, "word": " أخد", "probability": 0.6266682942708334}, {"start": 2311.39, "end": 2311.51, "word": " ال", "probability": 0.6484375}, {"start": 2311.51, "end": 2311.99, "word": " summation", "probability": 0.931640625}, {"start": 2311.99, "end": 2312.85, "word": " من", "probability": 0.9853515625}, {"start": 2312.85, "end": 2313.29, "word": " عند", "probability": 0.97265625}], "temperature": 1.0}, {"id": 104, "seek": 234134, "start": 2313.8, "end": 2341.34, "text": "N من عند K لعند N عملكم إياها هان من عند K بتساوي او من عند M بتساوي K لعند مين لعند N أكبر أو يساوي ال summation من M بتساوي K لعند مين لعند N هذه بتصير اللي هو K minus واحد fixed K ناقص", "tokens": [45, 9154, 43242, 591, 5296, 3615, 41260, 426, 6225, 42213, 24793, 11933, 25528, 11296, 8032, 7649, 9154, 43242, 591, 39894, 3794, 995, 45865, 1975, 2407, 9154, 43242, 376, 39894, 3794, 995, 45865, 591, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 28811, 9154, 376, 39894, 3794, 995, 45865, 591, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 426, 29538, 39894, 9381, 13546, 13672, 1829, 31439, 591, 3175, 36764, 24401, 6806, 591, 8717, 995, 4587, 9381], "avg_logprob": -0.23928052464196847, "compression_ratio": 1.8742138364779874, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 2313.8, "end": 2314.64, "word": "N", "probability": 0.043243408203125}, {"start": 2314.64, "end": 2315.86, "word": " من", "probability": 0.57861328125}, {"start": 2315.86, "end": 2316.2, "word": " عند", "probability": 0.9404296875}, {"start": 2316.2, "end": 2316.5, "word": " K", "probability": 0.73388671875}, {"start": 2316.5, "end": 2316.98, "word": " لعند", "probability": 0.8951822916666666}, {"start": 2316.98, "end": 2317.18, "word": " N", "probability": 0.90380859375}, {"start": 2317.18, "end": 2317.74, "word": " عملكم", "probability": 0.6534830729166666}, {"start": 2317.74, "end": 2318.18, "word": " إياها", "probability": 0.7664388020833334}, {"start": 2318.18, "end": 2318.66, "word": " هان", "probability": 0.497314453125}, {"start": 2318.66, "end": 2319.66, "word": " من", "probability": 0.30126953125}, {"start": 2319.66, "end": 2320.06, "word": " عند", "probability": 0.986328125}, {"start": 2320.06, "end": 2320.36, "word": " K", "probability": 0.744140625}, {"start": 2320.36, "end": 2321.12, "word": " بتساوي", "probability": 0.78851318359375}, {"start": 2321.12, "end": 2322.34, "word": " او", "probability": 0.632080078125}, {"start": 2322.34, "end": 2322.48, "word": " من", "probability": 0.9833984375}, {"start": 2322.48, "end": 2322.76, "word": " عند", "probability": 0.9677734375}, {"start": 2322.76, "end": 2323.04, "word": " M", "probability": 0.9560546875}, {"start": 2323.04, "end": 2323.84, "word": " بتساوي", "probability": 0.96826171875}, {"start": 2323.84, "end": 2325.58, "word": " K", "probability": 0.76123046875}, {"start": 2325.58, "end": 2326.9, "word": " لعند", "probability": 0.9441731770833334}, {"start": 2326.9, "end": 2327.34, "word": " مين", "probability": 0.7222900390625}, {"start": 2327.34, "end": 2327.74, "word": " لعند", "probability": 0.95751953125}, {"start": 2327.74, "end": 2328.0, "word": " N", "probability": 0.94921875}, {"start": 2328.0, "end": 2328.94, "word": " أكبر", "probability": 0.8806966145833334}, {"start": 2328.94, "end": 2329.08, "word": " أو", "probability": 0.7587890625}, {"start": 2329.08, "end": 2329.4, "word": " يساوي", "probability": 0.9339599609375}, {"start": 2329.4, "end": 2329.52, "word": " ال", "probability": 0.77587890625}, {"start": 2329.52, "end": 2330.02, "word": " summation", "probability": 0.5234375}, {"start": 2330.02, "end": 2330.98, "word": " من", "probability": 0.982421875}, {"start": 2330.98, "end": 2331.22, "word": " M", "probability": 0.927734375}, {"start": 2331.22, "end": 2331.74, "word": " بتساوي", "probability": 0.9600830078125}, {"start": 2331.74, "end": 2332.14, "word": " K", "probability": 0.93408203125}, {"start": 2332.14, "end": 2332.94, "word": " لعند", "probability": 0.9278971354166666}, {"start": 2332.94, "end": 2333.42, "word": " مين", "probability": 0.97705078125}, {"start": 2333.42, "end": 2334.2, "word": " لعند", "probability": 0.9830729166666666}, {"start": 2334.2, "end": 2334.44, "word": " N", "probability": 0.92041015625}, {"start": 2334.44, "end": 2335.22, "word": " هذه", "probability": 0.73046875}, {"start": 2335.22, "end": 2335.82, "word": " بتصير", "probability": 0.9228515625}, {"start": 2335.82, "end": 2336.02, "word": " اللي", "probability": 0.907470703125}, {"start": 2336.02, "end": 2336.4, "word": " هو", "probability": 0.9833984375}, {"start": 2336.4, "end": 2337.96, "word": " K", "probability": 0.5673828125}, {"start": 2337.96, "end": 2338.28, "word": " minus", "probability": 0.24169921875}, {"start": 2338.28, "end": 2338.92, "word": " واحد", "probability": 0.743408203125}, {"start": 2338.92, "end": 2339.5, "word": " fixed", "probability": 0.19189453125}, {"start": 2339.5, "end": 2339.94, "word": " K", "probability": 0.8564453125}, {"start": 2339.94, "end": 2341.34, "word": " ناقص", "probability": 0.953857421875}], "temperature": 1.0}, {"id": 105, "seek": 237167, "start": 2342.25, "end": 2371.67, "text": "اللي هي K في X K زائد واحد اللي بعدها K زائد واحد اللي هي بيصير K في X K زائد واحد راحت مع الأولى ناقص كده فكل واحدة بت cancel الثانية بتظهر أول واحدة و آخر واحدة اللي هي أول واحدة K minus واحد في X K ناقص آخر واحدة اللي هي N في X N زائد واحد أكبر أو يساوي ال summation هذا اللي هو عبارة عن A minus واحد", "tokens": [6027, 20292, 39896, 591, 8978, 1783, 591, 30767, 16373, 3215, 36764, 24401, 13672, 1829, 39182, 11296, 591, 30767, 16373, 3215, 36764, 24401, 13672, 1829, 39896, 4724, 1829, 9381, 13546, 591, 8978, 1783, 591, 30767, 16373, 3215, 36764, 24401, 12602, 39319, 2655, 20449, 16247, 12610, 7578, 8717, 995, 4587, 9381, 9122, 3215, 3224, 6156, 28820, 36764, 24401, 3660, 39894, 10373, 6024, 104, 7649, 10632, 39894, 19913, 3224, 2288, 5551, 12610, 36764, 24401, 3660, 4032, 19753, 34740, 36764, 24401, 3660, 13672, 1829, 39896, 5551, 12610, 36764, 24401, 3660, 591, 3175, 36764, 24401, 8978, 1783, 591, 8717, 995, 4587, 9381, 19753, 34740, 36764, 24401, 3660, 13672, 1829, 39896, 426, 8978, 1783, 426, 30767, 16373, 3215, 36764, 24401, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 28811, 23758, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 316, 3175, 36764, 24401], "avg_logprob": -0.11820652395270873, "compression_ratio": 2.244343891402715, "no_speech_prob": 2.8192996978759766e-05, "words": [{"start": 2342.25, "end": 2342.59, "word": "اللي", "probability": 0.794677734375}, {"start": 2342.59, "end": 2342.91, "word": " هي", "probability": 0.90625}, {"start": 2342.91, "end": 2343.83, "word": " K", "probability": 0.350830078125}, {"start": 2343.83, "end": 2345.33, "word": " في", "probability": 0.5107421875}, {"start": 2345.33, "end": 2345.75, "word": " X", "probability": 0.791015625}, {"start": 2345.75, "end": 2346.07, "word": " K", "probability": 0.56884765625}, {"start": 2346.07, "end": 2346.49, "word": " زائد", "probability": 0.8048502604166666}, {"start": 2346.49, "end": 2346.93, "word": " واحد", "probability": 0.87646484375}, {"start": 2346.93, "end": 2347.35, "word": " اللي", "probability": 0.9501953125}, {"start": 2347.35, "end": 2347.91, "word": " بعدها", "probability": 0.919677734375}, {"start": 2347.91, "end": 2348.75, "word": " K", "probability": 0.873046875}, {"start": 2348.75, "end": 2349.19, "word": " زائد", "probability": 0.9680989583333334}, {"start": 2349.19, "end": 2349.77, "word": " واحد", "probability": 0.990234375}, {"start": 2349.77, "end": 2350.09, "word": " اللي", "probability": 0.969970703125}, {"start": 2350.09, "end": 2350.19, "word": " هي", "probability": 0.755859375}, {"start": 2350.19, "end": 2350.57, "word": " بيصير", "probability": 0.8643798828125}, {"start": 2350.57, "end": 2350.95, "word": " K", "probability": 0.88916015625}, {"start": 2350.95, "end": 2351.23, "word": " في", "probability": 0.94140625}, {"start": 2351.23, "end": 2351.51, "word": " X", "probability": 0.98828125}, {"start": 2351.51, "end": 2351.69, "word": " K", "probability": 0.80615234375}, {"start": 2351.69, "end": 2351.97, "word": " زائد", "probability": 0.9552408854166666}, {"start": 2351.97, "end": 2352.19, "word": " واحد", "probability": 0.991943359375}, {"start": 2352.19, "end": 2352.53, "word": " راحت", "probability": 0.8310546875}, {"start": 2352.53, "end": 2352.63, "word": " مع", "probability": 0.9951171875}, {"start": 2352.63, "end": 2353.13, "word": " الأولى", "probability": 0.8684895833333334}, {"start": 2353.13, "end": 2353.91, "word": " ناقص", "probability": 0.9464111328125}, {"start": 2353.91, "end": 2354.13, "word": " كده", "probability": 0.8702799479166666}, {"start": 2354.13, "end": 2354.55, "word": " فكل", "probability": 0.9541015625}, {"start": 2354.55, "end": 2354.81, "word": " واحدة", "probability": 0.95849609375}, {"start": 2354.81, "end": 2354.95, "word": " بت", "probability": 0.927734375}, {"start": 2354.95, "end": 2355.25, "word": " cancel", "probability": 0.86376953125}, {"start": 2355.25, "end": 2355.77, "word": " الثانية", "probability": 0.8704833984375}, {"start": 2355.77, "end": 2356.13, "word": " بتظهر", "probability": 0.73974609375}, {"start": 2356.13, "end": 2356.59, "word": " أول", "probability": 0.78369140625}, {"start": 2356.59, "end": 2357.17, "word": " واحدة", "probability": 0.9728190104166666}, {"start": 2357.17, "end": 2357.75, "word": " و", "probability": 0.90771484375}, {"start": 2357.75, "end": 2358.17, "word": " آخر", "probability": 0.732666015625}, {"start": 2358.17, "end": 2358.69, "word": " واحدة", "probability": 0.98779296875}, {"start": 2358.69, "end": 2359.11, "word": " اللي", "probability": 0.985107421875}, {"start": 2359.11, "end": 2359.27, "word": " هي", "probability": 0.82080078125}, {"start": 2359.27, "end": 2359.57, "word": " أول", "probability": 0.881103515625}, {"start": 2359.57, "end": 2359.93, "word": " واحدة", "probability": 0.9943033854166666}, {"start": 2359.93, "end": 2360.07, "word": " K", "probability": 0.82568359375}, {"start": 2360.07, "end": 2360.45, "word": " minus", "probability": 0.3671875}, {"start": 2360.45, "end": 2361.05, "word": " واحد", "probability": 0.9697265625}, {"start": 2361.05, "end": 2361.91, "word": " في", "probability": 0.88525390625}, {"start": 2361.91, "end": 2362.25, "word": " X", "probability": 0.99169921875}, {"start": 2362.25, "end": 2362.69, "word": " K", "probability": 0.86083984375}, {"start": 2362.69, "end": 2363.25, "word": " ناقص", "probability": 0.9908447265625}, {"start": 2363.25, "end": 2363.63, "word": " آخر", "probability": 0.816650390625}, {"start": 2363.63, "end": 2364.17, "word": " واحدة", "probability": 0.9913736979166666}, {"start": 2364.17, "end": 2364.45, "word": " اللي", "probability": 0.983154296875}, {"start": 2364.45, "end": 2364.79, "word": " هي", "probability": 0.8759765625}, {"start": 2364.79, "end": 2365.47, "word": " N", "probability": 0.91845703125}, {"start": 2365.47, "end": 2365.79, "word": " في", "probability": 0.9716796875}, {"start": 2365.79, "end": 2366.09, "word": " X", "probability": 0.9970703125}, {"start": 2366.09, "end": 2366.41, "word": " N", "probability": 0.89404296875}, {"start": 2366.41, "end": 2367.17, "word": " زائد", "probability": 0.8795572916666666}, {"start": 2367.17, "end": 2367.51, "word": " واحد", "probability": 0.988037109375}, {"start": 2367.51, "end": 2368.47, "word": " أكبر", "probability": 0.9191080729166666}, {"start": 2368.47, "end": 2368.63, "word": " أو", "probability": 0.8583984375}, {"start": 2368.63, "end": 2369.11, "word": " يساوي", "probability": 0.97705078125}, {"start": 2369.11, "end": 2369.23, "word": " ال", "probability": 0.78857421875}, {"start": 2369.23, "end": 2369.67, "word": " summation", "probability": 0.767578125}, {"start": 2369.67, "end": 2370.11, "word": " هذا", "probability": 0.91455078125}, {"start": 2370.11, "end": 2370.23, "word": " اللي", "probability": 0.98828125}, {"start": 2370.23, "end": 2370.37, "word": " هو", "probability": 0.87353515625}, {"start": 2370.37, "end": 2370.69, "word": " عبارة", "probability": 0.9967041015625}, {"start": 2370.69, "end": 2370.87, "word": " عن", "probability": 0.98388671875}, {"start": 2370.87, "end": 2371.05, "word": " A", "probability": 0.71630859375}, {"start": 2371.05, "end": 2371.37, "word": " minus", "probability": 0.9013671875}, {"start": 2371.37, "end": 2371.67, "word": " واحد", "probability": 0.830078125}], "temperature": 1.0}, {"id": 106, "seek": 239180, "start": 2373.08, "end": 2391.8, "text": "عام المشترك لأنه فيها بيت مضال مضروب في مين؟ في اللي بضر من عند K لعند مين؟ لعند XK XK زائد واحد لعند مين؟ لعند X بكون حصلت على هذه اللي هي ال inequality الان لاحظوا ما يليه", "tokens": [3615, 10943, 9673, 8592, 2655, 31747, 5296, 33456, 3224, 8978, 11296, 4724, 36081, 3714, 11242, 6027, 3714, 11242, 32887, 3555, 8978, 3714, 9957, 22807, 8978, 13672, 1829, 4724, 11242, 2288, 9154, 43242, 591, 5296, 3615, 41260, 3714, 9957, 22807, 5296, 3615, 41260, 1783, 42, 1783, 42, 30767, 16373, 3215, 36764, 24401, 5296, 3615, 41260, 3714, 9957, 22807, 5296, 3615, 41260, 1783, 4724, 30544, 11331, 36520, 2655, 15844, 29538, 13672, 1829, 39896, 2423, 16970, 2423, 7649, 20193, 5016, 19913, 14407, 19446, 7251, 20292, 3224], "avg_logprob": -0.25465030826273416, "compression_ratio": 1.6742857142857144, "no_speech_prob": 1.811981201171875e-05, "words": [{"start": 2373.08, "end": 2373.52, "word": "عام", "probability": 0.880859375}, {"start": 2373.52, "end": 2374.02, "word": " المشترك", "probability": 0.9359130859375}, {"start": 2374.02, "end": 2374.36, "word": " لأنه", "probability": 0.7509765625}, {"start": 2374.36, "end": 2374.56, "word": " فيها", "probability": 0.816162109375}, {"start": 2374.56, "end": 2374.82, "word": " بيت", "probability": 0.80908203125}, {"start": 2374.82, "end": 2376.36, "word": " مضال", "probability": 0.644287109375}, {"start": 2376.36, "end": 2376.94, "word": " مضروب", "probability": 0.926513671875}, {"start": 2376.94, "end": 2377.08, "word": " في", "probability": 0.94384765625}, {"start": 2377.08, "end": 2377.96, "word": " مين؟", "probability": 0.6399739583333334}, {"start": 2377.96, "end": 2378.08, "word": " في", "probability": 0.414794921875}, {"start": 2378.08, "end": 2378.34, "word": " اللي", "probability": 0.85791015625}, {"start": 2378.34, "end": 2378.68, "word": " بضر", "probability": 0.6844075520833334}, {"start": 2378.68, "end": 2378.84, "word": " من", "probability": 0.64013671875}, {"start": 2378.84, "end": 2379.14, "word": " عند", "probability": 0.96630859375}, {"start": 2379.14, "end": 2379.3, "word": " K", "probability": 0.390625}, {"start": 2379.3, "end": 2379.62, "word": " لعند", "probability": 0.9220377604166666}, {"start": 2379.62, "end": 2379.92, "word": " مين؟", "probability": 0.725830078125}, {"start": 2379.92, "end": 2380.2, "word": " لعند", "probability": 0.9176432291666666}, {"start": 2380.2, "end": 2381.0, "word": " XK", "probability": 0.662841796875}, {"start": 2381.0, "end": 2381.8, "word": " XK", "probability": 0.748291015625}, {"start": 2381.8, "end": 2382.08, "word": " زائد", "probability": 0.6761881510416666}, {"start": 2382.08, "end": 2382.3, "word": " واحد", "probability": 0.85400390625}, {"start": 2382.3, "end": 2382.6, "word": " لعند", "probability": 0.92431640625}, {"start": 2382.6, "end": 2383.06, "word": " مين؟", "probability": 0.916015625}, {"start": 2383.06, "end": 2383.32, "word": " لعند", "probability": 0.95068359375}, {"start": 2383.32, "end": 2383.56, "word": " X", "probability": 0.9462890625}, {"start": 2383.56, "end": 2384.4, "word": " بكون", "probability": 0.56787109375}, {"start": 2384.4, "end": 2385.1, "word": " حصلت", "probability": 0.8948567708333334}, {"start": 2385.1, "end": 2385.34, "word": " على", "probability": 0.92529296875}, {"start": 2385.34, "end": 2386.04, "word": " هذه", "probability": 0.8232421875}, {"start": 2386.04, "end": 2387.18, "word": " اللي", "probability": 0.9541015625}, {"start": 2387.18, "end": 2387.68, "word": " هي", "probability": 0.94189453125}, {"start": 2387.68, "end": 2388.18, "word": " ال", "probability": 0.90380859375}, {"start": 2388.18, "end": 2388.94, "word": " inequality", "probability": 0.14111328125}, {"start": 2388.94, "end": 2390.76, "word": " الان", "probability": 0.6221923828125}, {"start": 2390.76, "end": 2391.24, "word": " لاحظوا", "probability": 0.9451904296875}, {"start": 2391.24, "end": 2391.38, "word": " ما", "probability": 0.9208984375}, {"start": 2391.38, "end": 2391.8, "word": " يليه", "probability": 0.7428385416666666}], "temperature": 1.0}, {"id": 107, "seek": 241129, "start": 2393.13, "end": 2411.29, "text": "حصلت يا جماعة انه الـ Series هذه او الـ Sequence هذه عندي هذا المقدار منها مدام الـ Decreasing حصلت و جمعنا و استخدمنا الـ Telescoping حصلنا هذه أكبر أو سوى هذه طيب", "tokens": [5016, 36520, 2655, 35186, 10874, 15042, 27884, 16472, 3224, 2423, 39184, 13934, 29538, 1975, 2407, 2423, 39184, 46859, 655, 29538, 18871, 16254, 23758, 9673, 28543, 9640, 9154, 11296, 3714, 3215, 10943, 2423, 39184, 12427, 265, 3349, 11331, 36520, 2655, 4032, 10874, 2304, 3615, 8315, 4032, 44713, 9778, 40448, 8315, 2423, 39184, 48595, 13084, 278, 11331, 36520, 8315, 29538, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 29538, 23032, 1829, 3555], "avg_logprob": -0.23214286054883684, "compression_ratio": 1.5595238095238095, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 2393.13, "end": 2393.89, "word": "حصلت", "probability": 0.8102213541666666}, {"start": 2393.89, "end": 2394.01, "word": " يا", "probability": 0.908203125}, {"start": 2394.01, "end": 2394.69, "word": " جماعة", "probability": 0.9851888020833334}, {"start": 2394.69, "end": 2396.09, "word": " انه", "probability": 0.431884765625}, {"start": 2396.09, "end": 2396.53, "word": " الـ", "probability": 0.656982421875}, {"start": 2396.53, "end": 2397.09, "word": " Series", "probability": 0.423583984375}, {"start": 2397.09, "end": 2397.57, "word": " هذه", "probability": 0.76220703125}, {"start": 2397.57, "end": 2397.77, "word": " او", "probability": 0.789306640625}, {"start": 2397.77, "end": 2397.93, "word": " الـ", "probability": 0.871337890625}, {"start": 2397.93, "end": 2398.33, "word": " Sequence", "probability": 0.889892578125}, {"start": 2398.33, "end": 2398.77, "word": " هذه", "probability": 0.94287109375}, {"start": 2398.77, "end": 2399.87, "word": " عندي", "probability": 0.6697998046875}, {"start": 2399.87, "end": 2400.49, "word": " هذا", "probability": 0.8837890625}, {"start": 2400.49, "end": 2401.23, "word": " المقدار", "probability": 0.9734700520833334}, {"start": 2401.23, "end": 2401.83, "word": " منها", "probability": 0.989013671875}, {"start": 2401.83, "end": 2402.59, "word": " مدام", "probability": 0.8224283854166666}, {"start": 2402.59, "end": 2402.77, "word": " الـ", "probability": 0.930419921875}, {"start": 2402.77, "end": 2403.51, "word": " Decreasing", "probability": 0.8429361979166666}, {"start": 2403.51, "end": 2405.43, "word": " حصلت", "probability": 0.7173258463541666}, {"start": 2405.43, "end": 2405.91, "word": " و", "probability": 0.41162109375}, {"start": 2405.91, "end": 2407.27, "word": " جمعنا", "probability": 0.972900390625}, {"start": 2407.27, "end": 2407.49, "word": " و", "probability": 0.7724609375}, {"start": 2407.49, "end": 2408.11, "word": " استخدمنا", "probability": 0.9482421875}, {"start": 2408.11, "end": 2408.23, "word": " الـ", "probability": 0.8828125}, {"start": 2408.23, "end": 2408.81, "word": " Telescoping", "probability": 0.8447265625}, {"start": 2408.81, "end": 2409.27, "word": " حصلنا", "probability": 0.9326171875}, {"start": 2409.27, "end": 2409.49, "word": " هذه", "probability": 0.5283203125}, {"start": 2409.49, "end": 2409.81, "word": " أكبر", "probability": 0.8805338541666666}, {"start": 2409.81, "end": 2409.93, "word": " أو", "probability": 0.7978515625}, {"start": 2409.93, "end": 2410.23, "word": " سوى", "probability": 0.681396484375}, {"start": 2410.23, "end": 2410.45, "word": " هذه", "probability": 0.57275390625}, {"start": 2410.45, "end": 2411.29, "word": " طيب", "probability": 0.9215494791666666}], "temperature": 1.0}, {"id": 108, "seek": 242973, "start": 2413.3, "end": 2429.74, "text": "الأن هذا يظهر أن الـ partial sums Sn of سميش الـ Xn اللي هي صار عندهاي اللي هو الـ Sn مظبوط هذا الـ Sn لأنه أصغر أو يساوي هذا المقدار على A-1 وA-1 عبارة عن إيه؟ عشان ثابت", "tokens": [6027, 33456, 23758, 7251, 19913, 3224, 2288, 14739, 2423, 39184, 14641, 34499, 9264, 295, 8608, 2304, 1829, 8592, 2423, 39184, 1783, 77, 13672, 1829, 39896, 20328, 9640, 43242, 11296, 1829, 13672, 1829, 31439, 2423, 39184, 9264, 3714, 19913, 3555, 2407, 9566, 23758, 2423, 39184, 9264, 5296, 33456, 3224, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 9673, 28543, 9640, 15844, 316, 12, 16, 4032, 32, 12, 16, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 3224, 22807, 6225, 8592, 7649, 38637, 16758, 2655], "avg_logprob": -0.38198528009302474, "compression_ratio": 1.541899441340782, "no_speech_prob": 3.510713577270508e-05, "words": [{"start": 2413.2999999999997, "end": 2414.06, "word": "الأن", "probability": 0.36572265625}, {"start": 2414.06, "end": 2414.82, "word": " هذا", "probability": 0.324951171875}, {"start": 2414.82, "end": 2415.14, "word": " يظهر", "probability": 0.7691650390625}, {"start": 2415.14, "end": 2415.5, "word": " أن", "probability": 0.46875}, {"start": 2415.5, "end": 2415.64, "word": " الـ", "probability": 0.3087158203125}, {"start": 2415.64, "end": 2415.98, "word": " partial", "probability": 0.40673828125}, {"start": 2415.98, "end": 2416.5, "word": " sums", "probability": 0.444091796875}, {"start": 2416.5, "end": 2417.0, "word": " Sn", "probability": 0.283447265625}, {"start": 2417.0, "end": 2417.32, "word": " of", "probability": 0.493408203125}, {"start": 2417.32, "end": 2417.76, "word": " سميش", "probability": 0.5730743408203125}, {"start": 2417.76, "end": 2417.94, "word": " الـ", "probability": 0.686767578125}, {"start": 2417.94, "end": 2418.5, "word": " Xn", "probability": 0.5390625}, {"start": 2418.5, "end": 2419.38, "word": " اللي", "probability": 0.6766357421875}, {"start": 2419.38, "end": 2419.8, "word": " هي", "probability": 0.861328125}, {"start": 2419.8, "end": 2420.42, "word": " صار", "probability": 0.6485595703125}, {"start": 2420.42, "end": 2420.9, "word": " عندهاي", "probability": 0.556884765625}, {"start": 2420.9, "end": 2421.1, "word": " اللي", "probability": 0.91357421875}, {"start": 2421.1, "end": 2421.36, "word": " هو", "probability": 0.9892578125}, {"start": 2421.36, "end": 2421.64, "word": " الـ", "probability": 0.59423828125}, {"start": 2421.64, "end": 2421.94, "word": " Sn", "probability": 0.80419921875}, {"start": 2421.94, "end": 2422.8, "word": " مظبوط", "probability": 0.88984375}, {"start": 2422.8, "end": 2423.14, "word": " هذا", "probability": 0.59765625}, {"start": 2423.14, "end": 2423.92, "word": " الـ", "probability": 0.6119384765625}, {"start": 2423.92, "end": 2424.3, "word": " Sn", "probability": 0.90625}, {"start": 2424.3, "end": 2424.64, "word": " لأنه", "probability": 0.9158528645833334}, {"start": 2424.64, "end": 2425.18, "word": " أصغر", "probability": 0.9666748046875}, {"start": 2425.18, "end": 2425.34, "word": " أو", "probability": 0.83837890625}, {"start": 2425.34, "end": 2425.92, "word": " يساوي", "probability": 0.9781494140625}, {"start": 2425.92, "end": 2426.5, "word": " هذا", "probability": 0.9228515625}, {"start": 2426.5, "end": 2426.98, "word": " المقدار", "probability": 0.7593587239583334}, {"start": 2426.98, "end": 2427.12, "word": " على", "probability": 0.85400390625}, {"start": 2427.12, "end": 2427.28, "word": " A", "probability": 0.31982421875}, {"start": 2427.28, "end": 2427.72, "word": "-1", "probability": 0.5538330078125}, {"start": 2427.72, "end": 2427.92, "word": " وA", "probability": 0.595458984375}, {"start": 2427.92, "end": 2428.32, "word": "-1", "probability": 0.940673828125}, {"start": 2428.32, "end": 2428.7, "word": " عبارة", "probability": 0.993896484375}, {"start": 2428.7, "end": 2428.86, "word": " عن", "probability": 0.96044921875}, {"start": 2428.86, "end": 2429.04, "word": " إيه؟", "probability": 0.600341796875}, {"start": 2429.04, "end": 2429.3, "word": " عشان", "probability": 0.7327473958333334}, {"start": 2429.3, "end": 2429.74, "word": " ثابت", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 109, "seek": 245606, "start": 2430.56, "end": 2456.06, "text": "الآن الـ sequence of 10 sums Sn اللي هو summation Xn are bounded مدان bounded إذا إيش بده يكون؟ بده يكون convergent ده نشوف إيش اللي بقوله أكتب فوق ولا .. طيب شوفوا عندي إيش اللي حصلنا عليه؟ اللي هو الـ Sn", "tokens": [6027, 148, 48506, 2423, 39184, 8310, 295, 1266, 34499, 9264, 13672, 1829, 31439, 28811, 1783, 77, 366, 37498, 3714, 3215, 7649, 37498, 11933, 15730, 11933, 1829, 8592, 47525, 3224, 7251, 30544, 22807, 47525, 3224, 7251, 30544, 9652, 6930, 11778, 3224, 8717, 8592, 38688, 11933, 1829, 8592, 13672, 1829, 4724, 39648, 3224, 5551, 4117, 2655, 3555, 6156, 30543, 49429, 4386, 23032, 1829, 3555, 13412, 38688, 14407, 18871, 16254, 11933, 1829, 8592, 13672, 1829, 11331, 36520, 8315, 47356, 22807, 13672, 1829, 31439, 2423, 39184, 9264], "avg_logprob": -0.32645090243646074, "compression_ratio": 1.545, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2430.56, "end": 2431.22, "word": "الآن", "probability": 0.6571044921875}, {"start": 2431.22, "end": 2432.42, "word": " الـ", "probability": 0.2947998046875}, {"start": 2432.42, "end": 2432.7, "word": " sequence", "probability": 0.7255859375}, {"start": 2432.7, "end": 2432.98, "word": " of", "probability": 0.91943359375}, {"start": 2432.98, "end": 2433.3, "word": " 10", "probability": 0.09234619140625}, {"start": 2433.3, "end": 2433.9, "word": " sums", "probability": 0.30029296875}, {"start": 2433.9, "end": 2434.24, "word": " Sn", "probability": 0.303466796875}, {"start": 2434.24, "end": 2434.4, "word": " اللي", "probability": 0.5565185546875}, {"start": 2434.4, "end": 2434.54, "word": " هو", "probability": 0.95263671875}, {"start": 2434.54, "end": 2434.86, "word": " summation", "probability": 0.58544921875}, {"start": 2434.86, "end": 2435.42, "word": " Xn", "probability": 0.541259765625}, {"start": 2435.42, "end": 2436.32, "word": " are", "probability": 0.427978515625}, {"start": 2436.32, "end": 2437.1, "word": " bounded", "probability": 0.88232421875}, {"start": 2437.1, "end": 2438.18, "word": " مدان", "probability": 0.538818359375}, {"start": 2438.18, "end": 2438.6, "word": " bounded", "probability": 0.37548828125}, {"start": 2438.6, "end": 2438.82, "word": " إذا", "probability": 0.79638671875}, {"start": 2438.82, "end": 2439.02, "word": " إيش", "probability": 0.610595703125}, {"start": 2439.02, "end": 2439.26, "word": " بده", "probability": 0.42724609375}, {"start": 2439.26, "end": 2439.9, "word": " يكون؟", "probability": 0.8004557291666666}, {"start": 2439.9, "end": 2440.22, "word": " بده", "probability": 0.905517578125}, {"start": 2440.22, "end": 2440.66, "word": " يكون", "probability": 0.990966796875}, {"start": 2440.66, "end": 2442.24, "word": " convergent", "probability": 0.83935546875}, {"start": 2442.24, "end": 2442.52, "word": " ده", "probability": 0.73779296875}, {"start": 2442.52, "end": 2442.9, "word": " نشوف", "probability": 0.9669596354166666}, {"start": 2442.9, "end": 2443.74, "word": " إيش", "probability": 0.7867024739583334}, {"start": 2443.74, "end": 2443.86, "word": " اللي", "probability": 0.989501953125}, {"start": 2443.86, "end": 2444.54, "word": " بقوله", "probability": 0.9890950520833334}, {"start": 2444.54, "end": 2446.04, "word": " أكتب", "probability": 0.9351806640625}, {"start": 2446.04, "end": 2446.58, "word": " فوق", "probability": 0.979736328125}, {"start": 2446.58, "end": 2446.84, "word": " ولا", "probability": 0.8408203125}, {"start": 2446.84, "end": 2447.94, "word": " ..", "probability": 0.69580078125}, {"start": 2447.94, "end": 2448.28, "word": " طيب", "probability": 0.8819986979166666}, {"start": 2448.28, "end": 2449.54, "word": " شوفوا", "probability": 0.8258463541666666}, {"start": 2449.54, "end": 2449.86, "word": " عندي", "probability": 0.900146484375}, {"start": 2449.86, "end": 2453.42, "word": " إيش", "probability": 0.95068359375}, {"start": 2453.42, "end": 2453.56, "word": " اللي", "probability": 0.99609375}, {"start": 2453.56, "end": 2454.08, "word": " حصلنا", "probability": 0.9514973958333334}, {"start": 2454.08, "end": 2455.06, "word": " عليه؟", "probability": 0.840087890625}, {"start": 2455.06, "end": 2455.28, "word": " اللي", "probability": 0.992431640625}, {"start": 2455.28, "end": 2455.42, "word": " هو", "probability": 0.99560546875}, {"start": 2455.42, "end": 2455.6, "word": " الـ", "probability": 0.721435546875}, {"start": 2455.6, "end": 2456.06, "word": " Sn", "probability": 0.88037109375}], "temperature": 1.0}, {"id": 110, "seek": 246081, "start": 2457.13, "end": 2460.81, "text": "بساوي اللي هو ال summation absolute value لل", "tokens": [3555, 3794, 995, 45865, 13672, 1829, 31439, 2423, 28811, 8236, 2158, 24976], "avg_logprob": -0.42007211538461536, "compression_ratio": 0.9833333333333333, "no_speech_prob": 3.635883331298828e-06, "words": [{"start": 2457.13, "end": 2457.81, "word": "بساوي", "probability": 0.7919921875}, {"start": 2457.81, "end": 2458.77, "word": " اللي", "probability": 0.57275390625}, {"start": 2458.77, "end": 2458.89, "word": " هو", "probability": 0.9697265625}, {"start": 2458.89, "end": 2458.99, "word": " ال", "probability": 0.406494140625}, {"start": 2458.99, "end": 2459.41, "word": " summation", "probability": 0.40576171875}, {"start": 2459.41, "end": 2459.91, "word": " absolute", "probability": 0.81005859375}, {"start": 2459.91, "end": 2460.51, "word": " value", "probability": 0.98486328125}, {"start": 2460.51, "end": 2460.81, "word": " لل", "probability": 0.60498046875}], "temperature": 1.0}, {"id": 111, "seek": 249381, "start": 2464.71, "end": 2493.81, "text": "الـ XK أو قبل حتى قبل الأسئلة حصّلنا على الـ A-1 في الـ XK زائد absolute value لـ XN هذا كله على بعضه أصغر أو يساوي اللي هو K-1 بحكيها K-1 أيشي معين K لأنه من عندها M أكبر أو يساوي من K K أيشي معين K-1 في ال absolute value لXK", "tokens": [6027, 39184, 1783, 42, 34051, 12174, 36150, 11331, 49975, 12174, 36150, 16247, 3794, 19986, 37977, 11331, 9381, 11703, 1211, 8315, 15844, 2423, 39184, 316, 12, 16, 8978, 2423, 39184, 1783, 42, 30767, 16373, 3215, 8236, 2158, 5296, 39184, 1783, 45, 23758, 28242, 3224, 15844, 45030, 11242, 3224, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 13672, 1829, 31439, 591, 12, 16, 4724, 5016, 4117, 1829, 11296, 591, 12, 16, 36632, 8592, 1829, 20449, 9957, 591, 5296, 33456, 3224, 9154, 43242, 11296, 376, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 9154, 591, 591, 36632, 8592, 1829, 20449, 9957, 591, 12, 16, 8978, 2423, 8236, 2158, 5296, 55, 42], "avg_logprob": -0.23693182129751553, "compression_ratio": 1.7121951219512195, "no_speech_prob": 0.0001976490020751953, "words": [{"start": 2464.71, "end": 2465.27, "word": "الـ", "probability": 0.5142822265625}, {"start": 2465.27, "end": 2465.77, "word": " XK", "probability": 0.483642578125}, {"start": 2465.77, "end": 2466.05, "word": " أو", "probability": 0.70703125}, {"start": 2466.05, "end": 2466.29, "word": " قبل", "probability": 0.80126953125}, {"start": 2466.29, "end": 2466.67, "word": " حتى", "probability": 0.5201416015625}, {"start": 2466.67, "end": 2467.25, "word": " قبل", "probability": 0.7357177734375}, {"start": 2467.25, "end": 2467.73, "word": " الأسئلة", "probability": 0.83770751953125}, {"start": 2467.73, "end": 2468.85, "word": " حصّلنا", "probability": 0.709814453125}, {"start": 2468.85, "end": 2469.07, "word": " على", "probability": 0.8076171875}, {"start": 2469.07, "end": 2469.61, "word": " الـ", "probability": 0.7265625}, {"start": 2469.61, "end": 2469.75, "word": " A", "probability": 0.4580078125}, {"start": 2469.75, "end": 2470.61, "word": "-1", "probability": 0.5545654296875}, {"start": 2470.61, "end": 2471.41, "word": " في", "probability": 0.5576171875}, {"start": 2471.41, "end": 2471.63, "word": " الـ", "probability": 0.77783203125}, {"start": 2471.63, "end": 2472.33, "word": " XK", "probability": 0.954345703125}, {"start": 2472.33, "end": 2473.49, "word": " زائد", "probability": 0.7652994791666666}, {"start": 2473.49, "end": 2473.93, "word": " absolute", "probability": 0.666015625}, {"start": 2473.93, "end": 2474.41, "word": " value", "probability": 0.9873046875}, {"start": 2474.41, "end": 2474.59, "word": " لـ", "probability": 0.449951171875}, {"start": 2474.59, "end": 2475.05, "word": " XN", "probability": 0.810302734375}, {"start": 2475.05, "end": 2475.85, "word": " هذا", "probability": 0.8359375}, {"start": 2475.85, "end": 2476.23, "word": " كله", "probability": 0.98876953125}, {"start": 2476.23, "end": 2476.39, "word": " على", "probability": 0.9326171875}, {"start": 2476.39, "end": 2477.51, "word": " بعضه", "probability": 0.994140625}, {"start": 2477.51, "end": 2478.13, "word": " أصغر", "probability": 0.974365234375}, {"start": 2478.13, "end": 2478.29, "word": " أو", "probability": 0.9111328125}, {"start": 2478.29, "end": 2478.87, "word": " يساوي", "probability": 0.9744873046875}, {"start": 2478.87, "end": 2479.91, "word": " اللي", "probability": 0.917236328125}, {"start": 2479.91, "end": 2480.21, "word": " هو", "probability": 0.9912109375}, {"start": 2480.21, "end": 2480.87, "word": " K", "probability": 0.8466796875}, {"start": 2480.87, "end": 2482.07, "word": "-1", "probability": 0.6978759765625}, {"start": 2482.07, "end": 2482.57, "word": " بحكيها", "probability": 0.810791015625}, {"start": 2482.57, "end": 2482.93, "word": " K", "probability": 0.7158203125}, {"start": 2482.93, "end": 2483.41, "word": "-1", "probability": 0.966796875}, {"start": 2483.41, "end": 2483.69, "word": " أيشي", "probability": 0.4832356770833333}, {"start": 2483.69, "end": 2484.13, "word": " معين", "probability": 0.984375}, {"start": 2484.13, "end": 2484.55, "word": " K", "probability": 0.2435302734375}, {"start": 2484.55, "end": 2485.69, "word": " لأنه", "probability": 0.8312174479166666}, {"start": 2485.69, "end": 2485.83, "word": " من", "probability": 0.98388671875}, {"start": 2485.83, "end": 2486.51, "word": " عندها", "probability": 0.9970703125}, {"start": 2486.51, "end": 2487.19, "word": " M", "probability": 0.92333984375}, {"start": 2487.19, "end": 2487.69, "word": " أكبر", "probability": 0.9519856770833334}, {"start": 2487.69, "end": 2487.89, "word": " أو", "probability": 0.888671875}, {"start": 2487.89, "end": 2488.43, "word": " يساوي", "probability": 0.983642578125}, {"start": 2488.43, "end": 2488.65, "word": " من", "probability": 0.58837890625}, {"start": 2488.65, "end": 2489.31, "word": " K", "probability": 0.9365234375}, {"start": 2489.31, "end": 2489.65, "word": " K", "probability": 0.6572265625}, {"start": 2489.65, "end": 2489.95, "word": " أيشي", "probability": 0.8577473958333334}, {"start": 2489.95, "end": 2490.41, "word": " معين", "probability": 0.99658203125}, {"start": 2490.41, "end": 2491.07, "word": " K", "probability": 0.8291015625}, {"start": 2491.07, "end": 2491.77, "word": "-1", "probability": 0.943359375}, {"start": 2491.77, "end": 2492.09, "word": " في", "probability": 0.95361328125}, {"start": 2492.09, "end": 2492.17, "word": " ال", "probability": 0.68603515625}, {"start": 2492.17, "end": 2492.51, "word": " absolute", "probability": 0.82080078125}, {"start": 2492.51, "end": 2492.99, "word": " value", "probability": 0.9912109375}, {"start": 2492.99, "end": 2493.81, "word": " لXK", "probability": 0.6737467447916666}], "temperature": 1.0}, {"id": 112, "seek": 252340, "start": 2494.44, "end": 2523.4, "text": "ناقص N في الـ absolute value XN زائد واحد ماشي الحال هذه الـ N عالميل على ال A minus واحد لأن هذا المقدار أصغر أو يساوي هذا وهذا أكيد أكيد هذا أصغر أو يساوي ال K minus واحد في absolute value XK على A minus واحد", "tokens": [1863, 995, 4587, 9381, 426, 8978, 2423, 39184, 8236, 2158, 1783, 45, 30767, 16373, 3215, 36764, 24401, 3714, 33599, 1829, 21542, 6027, 29538, 2423, 39184, 426, 6225, 45340, 26895, 15844, 2423, 316, 3175, 36764, 24401, 5296, 33456, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 37037, 15730, 5551, 4117, 25708, 5551, 4117, 25708, 23758, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 591, 3175, 36764, 24401, 8978, 8236, 2158, 1783, 42, 15844, 316, 3175, 36764, 24401], "avg_logprob": -0.2150735336191514, "compression_ratio": 1.8571428571428572, "no_speech_prob": 3.2782554626464844e-06, "words": [{"start": 2494.44, "end": 2495.26, "word": "ناقص", "probability": 0.7935791015625}, {"start": 2495.26, "end": 2495.72, "word": " N", "probability": 0.427978515625}, {"start": 2495.72, "end": 2496.08, "word": " في", "probability": 0.91259765625}, {"start": 2496.08, "end": 2496.2, "word": " الـ", "probability": 0.541748046875}, {"start": 2496.2, "end": 2496.44, "word": " absolute", "probability": 0.45263671875}, {"start": 2496.44, "end": 2496.86, "word": " value", "probability": 0.986328125}, {"start": 2496.86, "end": 2497.46, "word": " XN", "probability": 0.45068359375}, {"start": 2497.46, "end": 2498.32, "word": " زائد", "probability": 0.7396647135416666}, {"start": 2498.32, "end": 2498.72, "word": " واحد", "probability": 0.7427978515625}, {"start": 2498.72, "end": 2499.26, "word": " ماشي", "probability": 0.773193359375}, {"start": 2499.26, "end": 2499.66, "word": " الحال", "probability": 0.90966796875}, {"start": 2499.66, "end": 2500.5, "word": " هذه", "probability": 0.216064453125}, {"start": 2500.5, "end": 2500.78, "word": " الـ", "probability": 0.55224609375}, {"start": 2500.78, "end": 2501.04, "word": " N", "probability": 0.865234375}, {"start": 2501.04, "end": 2502.86, "word": " عالميل", "probability": 0.6158854166666666}, {"start": 2502.86, "end": 2503.86, "word": " على", "probability": 0.69482421875}, {"start": 2503.86, "end": 2504.16, "word": " ال", "probability": 0.912109375}, {"start": 2504.16, "end": 2504.68, "word": " A", "probability": 0.37646484375}, {"start": 2504.68, "end": 2506.1, "word": " minus", "probability": 0.60205078125}, {"start": 2506.1, "end": 2507.28, "word": " واحد", "probability": 0.846435546875}, {"start": 2507.28, "end": 2509.94, "word": " لأن", "probability": 0.851318359375}, {"start": 2509.94, "end": 2510.34, "word": " هذا", "probability": 0.919921875}, {"start": 2510.34, "end": 2511.18, "word": " المقدار", "probability": 0.96923828125}, {"start": 2511.18, "end": 2511.68, "word": " أصغر", "probability": 0.95458984375}, {"start": 2511.68, "end": 2511.8, "word": " أو", "probability": 0.92431640625}, {"start": 2511.8, "end": 2512.24, "word": " يساوي", "probability": 0.95458984375}, {"start": 2512.24, "end": 2512.62, "word": " هذا", "probability": 0.97900390625}, {"start": 2512.62, "end": 2513.88, "word": " وهذا", "probability": 0.7352294921875}, {"start": 2513.88, "end": 2514.58, "word": " أكيد", "probability": 0.9645182291666666}, {"start": 2514.58, "end": 2515.66, "word": " أكيد", "probability": 0.7669270833333334}, {"start": 2515.66, "end": 2515.9, "word": " هذا", "probability": 0.96044921875}, {"start": 2515.9, "end": 2516.38, "word": " أصغر", "probability": 0.986328125}, {"start": 2516.38, "end": 2516.52, "word": " أو", "probability": 0.9560546875}, {"start": 2516.52, "end": 2517.12, "word": " يساوي", "probability": 0.989013671875}, {"start": 2517.12, "end": 2517.84, "word": " ال", "probability": 0.873046875}, {"start": 2517.84, "end": 2518.04, "word": " K", "probability": 0.728515625}, {"start": 2518.04, "end": 2518.48, "word": " minus", "probability": 0.85302734375}, {"start": 2518.48, "end": 2519.2, "word": " واحد", "probability": 0.971435546875}, {"start": 2519.2, "end": 2519.88, "word": " في", "probability": 0.91650390625}, {"start": 2519.88, "end": 2520.24, "word": " absolute", "probability": 0.93212890625}, {"start": 2520.24, "end": 2520.7, "word": " value", "probability": 0.99365234375}, {"start": 2520.7, "end": 2521.46, "word": " XK", "probability": 0.787353515625}, {"start": 2521.46, "end": 2522.1, "word": " على", "probability": 0.86669921875}, {"start": 2522.1, "end": 2522.48, "word": " A", "probability": 0.9462890625}, {"start": 2522.48, "end": 2523.0, "word": " minus", "probability": 0.9833984375}, {"start": 2523.0, "end": 2523.4, "word": " واحد", "probability": 0.983154296875}], "temperature": 1.0}, {"id": 113, "seek": 254816, "start": 2523.86, "end": 2548.16, "text": "لأنه الآن الـ Schilt اللي هو المقدار هذا السالب اللي مطروح إذاً هذا بيكبر فصار هذا المقدار أصغر أو يساوي هذا هذا ال K عبارة عن fixed رقم fixed number اللي هو لإنه احنا بديه من عند K أكبر أو أكبر يساوي K إذاً K إشي معين بحكي عنه إذاً هذا المقدار من XK لعند ال XN أصغر أو يساوي هذا", "tokens": [1211, 33456, 3224, 6024, 48506, 2423, 39184, 2065, 2352, 13672, 1829, 31439, 9673, 28543, 9640, 23758, 21136, 6027, 3555, 13672, 1829, 3714, 9566, 32887, 5016, 11933, 15730, 14111, 23758, 4724, 1829, 4117, 26890, 6156, 9381, 9640, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 23758, 2423, 591, 6225, 3555, 9640, 3660, 18871, 6806, 12602, 4587, 2304, 6806, 1230, 13672, 1829, 31439, 5296, 28814, 1863, 3224, 1975, 5016, 8315, 4724, 16254, 3224, 9154, 43242, 591, 5551, 4117, 26890, 34051, 5551, 4117, 26890, 7251, 3794, 995, 45865, 591, 11933, 15730, 14111, 591, 11933, 8592, 1829, 20449, 9957, 4724, 5016, 4117, 1829, 18871, 3224, 11933, 15730, 14111, 23758, 9673, 28543, 9640, 9154, 1783, 42, 5296, 3615, 41260, 2423, 1783, 45, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758], "avg_logprob": -0.16686100690667308, "compression_ratio": 2.0436681222707422, "no_speech_prob": 3.6954879760742188e-06, "words": [{"start": 2523.86, "end": 2524.6, "word": "لأنه", "probability": 0.8089192708333334}, {"start": 2524.6, "end": 2525.16, "word": " الآن", "probability": 0.6158447265625}, {"start": 2525.16, "end": 2525.88, "word": " الـ", "probability": 0.690673828125}, {"start": 2525.88, "end": 2526.22, "word": " Schilt", "probability": 0.33233642578125}, {"start": 2526.22, "end": 2526.42, "word": " اللي", "probability": 0.85888671875}, {"start": 2526.42, "end": 2526.6, "word": " هو", "probability": 0.9775390625}, {"start": 2526.6, "end": 2527.04, "word": " المقدار", "probability": 0.95849609375}, {"start": 2527.04, "end": 2527.24, "word": " هذا", "probability": 0.939453125}, {"start": 2527.24, "end": 2527.84, "word": " السالب", "probability": 0.9684244791666666}, {"start": 2527.84, "end": 2528.46, "word": " اللي", "probability": 0.875732421875}, {"start": 2528.46, "end": 2528.94, "word": " مطروح", "probability": 0.8970947265625}, {"start": 2528.94, "end": 2529.2, "word": " إذاً", "probability": 0.5191243489583334}, {"start": 2529.2, "end": 2529.4, "word": " هذا", "probability": 0.92236328125}, {"start": 2529.4, "end": 2530.22, "word": " بيكبر", "probability": 0.953369140625}, {"start": 2530.22, "end": 2530.74, "word": " فصار", "probability": 0.92041015625}, {"start": 2530.74, "end": 2531.02, "word": " هذا", "probability": 0.97216796875}, {"start": 2531.02, "end": 2531.72, "word": " المقدار", "probability": 0.9814453125}, {"start": 2531.72, "end": 2532.38, "word": " أصغر", "probability": 0.9869384765625}, {"start": 2532.38, "end": 2532.52, "word": " أو", "probability": 0.96435546875}, {"start": 2532.52, "end": 2532.92, "word": " يساوي", "probability": 0.9638671875}, {"start": 2532.92, "end": 2533.16, "word": " هذا", "probability": 0.97265625}, {"start": 2533.16, "end": 2533.84, "word": " هذا", "probability": 0.78076171875}, {"start": 2533.84, "end": 2534.08, "word": " ال", "probability": 0.9072265625}, {"start": 2534.08, "end": 2534.22, "word": " K", "probability": 0.385498046875}, {"start": 2534.22, "end": 2534.78, "word": " عبارة", "probability": 0.9969482421875}, {"start": 2534.78, "end": 2535.02, "word": " عن", "probability": 0.99267578125}, {"start": 2535.02, "end": 2535.44, "word": " fixed", "probability": 0.4111328125}, {"start": 2535.44, "end": 2536.42, "word": " رقم", "probability": 0.9903971354166666}, {"start": 2536.42, "end": 2536.78, "word": " fixed", "probability": 0.449951171875}, {"start": 2536.78, "end": 2537.7, "word": " number", "probability": 0.986328125}, {"start": 2537.7, "end": 2537.88, "word": " اللي", "probability": 0.958251953125}, {"start": 2537.88, "end": 2538.08, "word": " هو", "probability": 0.994140625}, {"start": 2538.08, "end": 2538.74, "word": " لإنه", "probability": 0.814453125}, {"start": 2538.74, "end": 2538.92, "word": " احنا", "probability": 0.84716796875}, {"start": 2538.92, "end": 2539.32, "word": " بديه", "probability": 0.943359375}, {"start": 2539.32, "end": 2539.44, "word": " من", "probability": 0.9775390625}, {"start": 2539.44, "end": 2539.64, "word": " عند", "probability": 0.98095703125}, {"start": 2539.64, "end": 2539.88, "word": " K", "probability": 0.91064453125}, {"start": 2539.88, "end": 2540.26, "word": " أكبر", "probability": 0.95361328125}, {"start": 2540.26, "end": 2540.44, "word": " أو", "probability": 0.378173828125}, {"start": 2540.44, "end": 2540.8, "word": " أكبر", "probability": 0.8797200520833334}, {"start": 2540.8, "end": 2541.12, "word": " يساوي", "probability": 0.869873046875}, {"start": 2541.12, "end": 2541.34, "word": " K", "probability": 0.8984375}, {"start": 2541.34, "end": 2541.58, "word": " إذاً", "probability": 0.751220703125}, {"start": 2541.58, "end": 2541.74, "word": " K", "probability": 0.84814453125}, {"start": 2541.74, "end": 2542.0, "word": " إشي", "probability": 0.89306640625}, {"start": 2542.0, "end": 2542.38, "word": " معين", "probability": 0.99169921875}, {"start": 2542.38, "end": 2542.7, "word": " بحكي", "probability": 0.982177734375}, {"start": 2542.7, "end": 2543.04, "word": " عنه", "probability": 0.99072265625}, {"start": 2543.04, "end": 2543.68, "word": " إذاً", "probability": 0.7763671875}, {"start": 2543.68, "end": 2543.94, "word": " هذا", "probability": 0.93212890625}, {"start": 2543.94, "end": 2544.8, "word": " المقدار", "probability": 0.9915364583333334}, {"start": 2544.8, "end": 2545.52, "word": " من", "probability": 0.98974609375}, {"start": 2545.52, "end": 2546.08, "word": " XK", "probability": 0.697509765625}, {"start": 2546.08, "end": 2546.38, "word": " لعند", "probability": 0.7828776041666666}, {"start": 2546.38, "end": 2546.5, "word": " ال", "probability": 0.6025390625}, {"start": 2546.5, "end": 2546.84, "word": " XN", "probability": 0.64013671875}, {"start": 2546.84, "end": 2547.28, "word": " أصغر", "probability": 0.9927978515625}, {"start": 2547.28, "end": 2547.42, "word": " أو", "probability": 0.98583984375}, {"start": 2547.42, "end": 2547.88, "word": " يساوي", "probability": 0.9901123046875}, {"start": 2547.88, "end": 2548.16, "word": " هذا", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 114, "seek": 256421, "start": 2548.8, "end": 2564.22, "text": "ماشي الحال إذا صار عندي اللي هو المقدار هذا هو عبارة عن sn-sk-1 مظبوط ولا لأ؟ أكيد", "tokens": [2304, 33599, 1829, 21542, 6027, 11933, 15730, 20328, 9640, 18871, 16254, 13672, 1829, 31439, 9673, 28543, 9640, 23758, 31439, 6225, 3555, 9640, 3660, 18871, 2406, 12, 5161, 12, 16, 3714, 19913, 3555, 2407, 9566, 49429, 5296, 10721, 22807, 5551, 4117, 25708], "avg_logprob": -0.21279761975719816, "compression_ratio": 1.247787610619469, "no_speech_prob": 6.794929504394531e-06, "words": [{"start": 2548.8, "end": 2549.24, "word": "ماشي", "probability": 0.8951822916666666}, {"start": 2549.24, "end": 2549.66, "word": " الحال", "probability": 0.959716796875}, {"start": 2549.66, "end": 2550.3, "word": " إذا", "probability": 0.6544189453125}, {"start": 2550.3, "end": 2550.72, "word": " صار", "probability": 0.97900390625}, {"start": 2550.72, "end": 2551.38, "word": " عندي", "probability": 0.6322021484375}, {"start": 2551.38, "end": 2552.32, "word": " اللي", "probability": 0.824951171875}, {"start": 2552.32, "end": 2552.76, "word": " هو", "probability": 0.982421875}, {"start": 2552.76, "end": 2555.7, "word": " المقدار", "probability": 0.7952473958333334}, {"start": 2555.7, "end": 2556.28, "word": " هذا", "probability": 0.9462890625}, {"start": 2556.28, "end": 2556.88, "word": " هو", "probability": 0.72998046875}, {"start": 2556.88, "end": 2557.38, "word": " عبارة", "probability": 0.9945068359375}, {"start": 2557.38, "end": 2558.0, "word": " عن", "probability": 0.9951171875}, {"start": 2558.0, "end": 2559.22, "word": " sn", "probability": 0.2020263671875}, {"start": 2559.22, "end": 2561.24, "word": "-sk", "probability": 0.6151123046875}, {"start": 2561.24, "end": 2562.26, "word": "-1", "probability": 0.933837890625}, {"start": 2562.26, "end": 2562.88, "word": " مظبوط", "probability": 0.8927734375}, {"start": 2562.88, "end": 2563.02, "word": " ولا", "probability": 0.89697265625}, {"start": 2563.02, "end": 2563.78, "word": " لأ؟", "probability": 0.7021484375}, {"start": 2563.78, "end": 2564.22, "word": " أكيد", "probability": 0.9059244791666666}], "temperature": 1.0}, {"id": 115, "seek": 258326, "start": 2565.56, "end": 2583.26, "text": "للـ absolute values طبعاً يعني بمعنى آخر صار Sn أصغر أو يساوي Sk-1 برضه عدد عدد عدد معين زائد اللي هو K-1 في XK على A-1 صار هذا Sn أصغر أو يساوي هذا", "tokens": [1211, 1211, 39184, 8236, 4190, 23032, 3555, 3615, 995, 14111, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 20328, 9640, 9264, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 7324, 12, 16, 4724, 43042, 3224, 6225, 3215, 3215, 6225, 3215, 3215, 6225, 3215, 3215, 20449, 9957, 30767, 16373, 3215, 13672, 1829, 31439, 591, 12, 16, 8978, 1783, 42, 15844, 316, 12, 16, 20328, 9640, 23758, 9264, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758], "avg_logprob": -0.15407437123829806, "compression_ratio": 1.4625, "no_speech_prob": 0.00011485815048217773, "words": [{"start": 2565.56, "end": 2565.9, "word": "للـ", "probability": 0.625244140625}, {"start": 2565.9, "end": 2566.16, "word": " absolute", "probability": 0.455078125}, {"start": 2566.16, "end": 2566.62, "word": " values", "probability": 0.83447265625}, {"start": 2566.62, "end": 2567.1, "word": " طبعاً", "probability": 0.858447265625}, {"start": 2567.1, "end": 2567.5, "word": " يعني", "probability": 0.84814453125}, {"start": 2567.5, "end": 2567.78, "word": " بمعنى", "probability": 0.9712890625}, {"start": 2567.78, "end": 2568.04, "word": " آخر", "probability": 0.82421875}, {"start": 2568.04, "end": 2568.3, "word": " صار", "probability": 0.93017578125}, {"start": 2568.3, "end": 2568.68, "word": " Sn", "probability": 0.262451171875}, {"start": 2568.68, "end": 2569.26, "word": " أصغر", "probability": 0.96826171875}, {"start": 2569.26, "end": 2569.4, "word": " أو", "probability": 0.94775390625}, {"start": 2569.4, "end": 2569.88, "word": " يساوي", "probability": 0.96484375}, {"start": 2569.88, "end": 2570.58, "word": " Sk", "probability": 0.404541015625}, {"start": 2570.58, "end": 2571.18, "word": "-1", "probability": 0.6280517578125}, {"start": 2571.18, "end": 2571.54, "word": " برضه", "probability": 0.9178059895833334}, {"start": 2571.54, "end": 2571.96, "word": " عدد", "probability": 0.9833984375}, {"start": 2571.96, "end": 2572.4, "word": " عدد", "probability": 0.9046223958333334}, {"start": 2572.4, "end": 2572.72, "word": " عدد", "probability": 0.9685872395833334}, {"start": 2572.72, "end": 2573.2, "word": " معين", "probability": 0.984375}, {"start": 2573.2, "end": 2574.4, "word": " زائد", "probability": 0.8180338541666666}, {"start": 2574.4, "end": 2574.7, "word": " اللي", "probability": 0.906494140625}, {"start": 2574.7, "end": 2574.9, "word": " هو", "probability": 0.98681640625}, {"start": 2574.9, "end": 2575.46, "word": " K", "probability": 0.456787109375}, {"start": 2575.46, "end": 2576.7, "word": "-1", "probability": 0.849853515625}, {"start": 2576.7, "end": 2577.14, "word": " في", "probability": 0.388916015625}, {"start": 2577.14, "end": 2578.06, "word": " XK", "probability": 0.7431640625}, {"start": 2578.06, "end": 2578.64, "word": " على", "probability": 0.677734375}, {"start": 2578.64, "end": 2579.08, "word": " A", "probability": 0.8515625}, {"start": 2579.08, "end": 2580.0, "word": "-1", "probability": 0.8671875}, {"start": 2580.0, "end": 2580.66, "word": " صار", "probability": 0.970703125}, {"start": 2580.66, "end": 2580.98, "word": " هذا", "probability": 0.91064453125}, {"start": 2580.98, "end": 2581.5, "word": " Sn", "probability": 0.90576171875}, {"start": 2581.5, "end": 2582.1, "word": " أصغر", "probability": 0.9898681640625}, {"start": 2582.1, "end": 2582.28, "word": " أو", "probability": 0.94921875}, {"start": 2582.28, "end": 2582.82, "word": " يساوي", "probability": 0.9869384765625}, {"start": 2582.82, "end": 2583.26, "word": " هذا", "probability": 0.97265625}], "temperature": 1.0}, {"id": 116, "seek": 260713, "start": 2584.05, "end": 2607.13, "text": "لكل N أكبر أو يساوي K يعني صارت الـ S N is bounded يعني بمعنى أخر، طبعا هذا أكبر أو يساوي سفر أكيد الـ N، إذا limit الـ S N as N goes to infinity مهما كبرت الـ N، هذه ما لهاش علاقة فيها الـ N لأنه N أكبر أو يساويها، إذا أصغر أو يساوي الـ S K minus واحد زائد K minus واحد", "tokens": [23275, 1211, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 591, 37495, 22653, 20328, 9640, 2655, 2423, 39184, 318, 426, 307, 37498, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 12399, 23032, 3555, 3615, 995, 23758, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 5551, 4117, 25708, 2423, 39184, 426, 12399, 11933, 15730, 4948, 2423, 39184, 318, 426, 382, 426, 1709, 281, 13202, 3714, 3224, 15042, 9122, 26890, 2655, 2423, 39184, 426, 12399, 29538, 19446, 46740, 33599, 11203, 995, 28671, 8978, 11296, 2423, 39184, 426, 5296, 33456, 3224, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 11296, 12399, 11933, 15730, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 39184, 318, 591, 3175, 36764, 24401, 30767, 16373, 3215, 591, 3175, 36764, 24401], "avg_logprob": -0.1888221093095266, "compression_ratio": 1.8391304347826087, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2584.05, "end": 2584.63, "word": "لكل", "probability": 0.7197265625}, {"start": 2584.63, "end": 2585.19, "word": " N", "probability": 0.34716796875}, {"start": 2585.19, "end": 2586.27, "word": " أكبر", "probability": 0.9417317708333334}, {"start": 2586.27, "end": 2586.45, "word": " أو", "probability": 0.90869140625}, {"start": 2586.45, "end": 2586.89, "word": " يساوي", "probability": 0.8841552734375}, {"start": 2586.89, "end": 2587.31, "word": " K", "probability": 0.68115234375}, {"start": 2587.31, "end": 2588.17, "word": " يعني", "probability": 0.848876953125}, {"start": 2588.17, "end": 2588.57, "word": " صارت", "probability": 0.7916666666666666}, {"start": 2588.57, "end": 2588.75, "word": " الـ", "probability": 0.6845703125}, {"start": 2588.75, "end": 2588.89, "word": " S", "probability": 0.5849609375}, {"start": 2588.89, "end": 2589.09, "word": " N", "probability": 0.533203125}, {"start": 2589.09, "end": 2589.31, "word": " is", "probability": 0.72021484375}, {"start": 2589.31, "end": 2589.93, "word": " bounded", "probability": 0.89453125}, {"start": 2589.93, "end": 2590.53, "word": " يعني", "probability": 0.878173828125}, {"start": 2590.53, "end": 2590.89, "word": " بمعنى", "probability": 0.98408203125}, {"start": 2590.89, "end": 2591.25, "word": " أخر،", "probability": 0.7049967447916666}, {"start": 2591.25, "end": 2591.41, "word": " طبعا", "probability": 0.920654296875}, {"start": 2591.41, "end": 2591.57, "word": " هذا", "probability": 0.64111328125}, {"start": 2591.57, "end": 2591.85, "word": " أكبر", "probability": 0.9391276041666666}, {"start": 2591.85, "end": 2591.89, "word": " أو", "probability": 0.8388671875}, {"start": 2591.89, "end": 2592.05, "word": " يساوي", "probability": 0.88427734375}, {"start": 2592.05, "end": 2592.27, "word": " سفر", "probability": 0.7549641927083334}, {"start": 2592.27, "end": 2592.59, "word": " أكيد", "probability": 0.9557291666666666}, {"start": 2592.59, "end": 2593.19, "word": " الـ", "probability": 0.581298828125}, {"start": 2593.19, "end": 2593.45, "word": " N،", "probability": 0.7266845703125}, {"start": 2593.45, "end": 2593.61, "word": " إذا", "probability": 0.90478515625}, {"start": 2593.61, "end": 2594.05, "word": " limit", "probability": 0.08477783203125}, {"start": 2594.05, "end": 2594.37, "word": " الـ", "probability": 0.94384765625}, {"start": 2594.37, "end": 2594.63, "word": " S", "probability": 0.93798828125}, {"start": 2594.63, "end": 2594.93, "word": " N", "probability": 0.86865234375}, {"start": 2594.93, "end": 2595.21, "word": " as", "probability": 0.85302734375}, {"start": 2595.21, "end": 2595.39, "word": " N", "probability": 0.97509765625}, {"start": 2595.39, "end": 2595.71, "word": " goes", "probability": 0.91455078125}, {"start": 2595.71, "end": 2595.91, "word": " to", "probability": 0.9697265625}, {"start": 2595.91, "end": 2596.55, "word": " infinity", "probability": 0.79833984375}, {"start": 2596.55, "end": 2598.15, "word": " مهما", "probability": 0.8328450520833334}, {"start": 2598.15, "end": 2598.97, "word": " كبرت", "probability": 0.8995768229166666}, {"start": 2598.97, "end": 2599.17, "word": " الـ", "probability": 0.989501953125}, {"start": 2599.17, "end": 2599.39, "word": " N،", "probability": 0.9287109375}, {"start": 2599.39, "end": 2599.53, "word": " هذه", "probability": 0.689453125}, {"start": 2599.53, "end": 2599.63, "word": " ما", "probability": 0.85400390625}, {"start": 2599.63, "end": 2599.91, "word": " لهاش", "probability": 0.718994140625}, {"start": 2599.91, "end": 2600.25, "word": " علاقة", "probability": 0.9899088541666666}, {"start": 2600.25, "end": 2600.57, "word": " فيها", "probability": 0.802734375}, {"start": 2600.57, "end": 2600.75, "word": " الـ", "probability": 0.958251953125}, {"start": 2600.75, "end": 2600.91, "word": " N", "probability": 0.98828125}, {"start": 2600.91, "end": 2601.31, "word": " لأنه", "probability": 0.6923828125}, {"start": 2601.31, "end": 2601.43, "word": " N", "probability": 0.8642578125}, {"start": 2601.43, "end": 2601.83, "word": " أكبر", "probability": 0.98974609375}, {"start": 2601.83, "end": 2601.93, "word": " أو", "probability": 0.86181640625}, {"start": 2601.93, "end": 2602.95, "word": " يساويها،", "probability": 0.8614908854166666}, {"start": 2602.95, "end": 2603.11, "word": " إذا", "probability": 0.946533203125}, {"start": 2603.11, "end": 2603.65, "word": " أصغر", "probability": 0.98828125}, {"start": 2603.65, "end": 2603.81, "word": " أو", "probability": 0.978515625}, {"start": 2603.81, "end": 2604.39, "word": " يساوي", "probability": 0.97802734375}, {"start": 2604.39, "end": 2604.57, "word": " الـ", "probability": 0.8125}, {"start": 2604.57, "end": 2604.79, "word": " S", "probability": 0.923828125}, {"start": 2604.79, "end": 2605.03, "word": " K", "probability": 0.69970703125}, {"start": 2605.03, "end": 2605.39, "word": " minus", "probability": 0.1610107421875}, {"start": 2605.39, "end": 2605.83, "word": " واحد", "probability": 0.86376953125}, {"start": 2605.83, "end": 2606.19, "word": " زائد", "probability": 0.8693033854166666}, {"start": 2606.19, "end": 2606.39, "word": " K", "probability": 0.9560546875}, {"start": 2606.39, "end": 2606.69, "word": " minus", "probability": 0.97265625}, {"start": 2606.69, "end": 2607.13, "word": " واحد", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 117, "seek": 262466, "start": 2607.32, "end": 2624.66, "text": "في الـ absolute value of xk على a-1 بمعنى آخر صارت الـ Sn is convergent أو بمعنى آخر الصممش لل absolute value of xn is convergent يعني هتصير السيريز عندي is absolutely convergent", "tokens": [41185, 2423, 39184, 8236, 2158, 295, 2031, 74, 15844, 257, 12, 16, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 20328, 9640, 2655, 2423, 39184, 9264, 307, 9652, 6930, 34051, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 31767, 2304, 2304, 8592, 24976, 8236, 2158, 295, 2031, 77, 307, 9652, 6930, 37495, 22653, 8032, 2655, 9381, 13546, 21136, 13546, 1829, 11622, 18871, 16254, 307, 3122, 9652, 6930], "avg_logprob": -0.2440814459414193, "compression_ratio": 1.5419354838709678, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 2607.32, "end": 2607.56, "word": "في", "probability": 0.310546875}, {"start": 2607.56, "end": 2607.68, "word": " الـ", "probability": 0.4202880859375}, {"start": 2607.68, "end": 2607.9, "word": " absolute", "probability": 0.55810546875}, {"start": 2607.9, "end": 2608.3, "word": " value", "probability": 0.9775390625}, {"start": 2608.3, "end": 2608.4, "word": " of", "probability": 0.461669921875}, {"start": 2608.4, "end": 2608.76, "word": " xk", "probability": 0.470947265625}, {"start": 2608.76, "end": 2608.98, "word": " على", "probability": 0.460205078125}, {"start": 2608.98, "end": 2609.28, "word": " a", "probability": 0.74169921875}, {"start": 2609.28, "end": 2610.02, "word": "-1", "probability": 0.6177978515625}, {"start": 2610.02, "end": 2610.42, "word": " بمعنى", "probability": 0.94501953125}, {"start": 2610.42, "end": 2610.74, "word": " آخر", "probability": 0.720703125}, {"start": 2610.74, "end": 2611.66, "word": " صارت", "probability": 0.9205729166666666}, {"start": 2611.66, "end": 2611.96, "word": " الـ", "probability": 0.74072265625}, {"start": 2611.96, "end": 2612.52, "word": " Sn", "probability": 0.248779296875}, {"start": 2612.52, "end": 2612.98, "word": " is", "probability": 0.919921875}, {"start": 2612.98, "end": 2614.04, "word": " convergent", "probability": 0.957763671875}, {"start": 2614.04, "end": 2614.44, "word": " أو", "probability": 0.86474609375}, {"start": 2614.44, "end": 2615.0, "word": " بمعنى", "probability": 0.98642578125}, {"start": 2615.0, "end": 2615.42, "word": " آخر", "probability": 0.89453125}, {"start": 2615.42, "end": 2616.44, "word": " الصممش", "probability": 0.70684814453125}, {"start": 2616.44, "end": 2616.64, "word": " لل", "probability": 0.7275390625}, {"start": 2616.64, "end": 2617.1, "word": " absolute", "probability": 0.654296875}, {"start": 2617.1, "end": 2617.5, "word": " value", "probability": 0.99072265625}, {"start": 2617.5, "end": 2617.6, "word": " of", "probability": 0.81005859375}, {"start": 2617.6, "end": 2617.94, "word": " xn", "probability": 0.9345703125}, {"start": 2617.94, "end": 2618.16, "word": " is", "probability": 0.89404296875}, {"start": 2618.16, "end": 2618.88, "word": " convergent", "probability": 0.96630859375}, {"start": 2618.88, "end": 2619.54, "word": " يعني", "probability": 0.9013671875}, {"start": 2619.54, "end": 2620.04, "word": " هتصير", "probability": 0.8751220703125}, {"start": 2620.04, "end": 2620.64, "word": " السيريز", "probability": 0.83447265625}, {"start": 2620.64, "end": 2621.14, "word": " عندي", "probability": 0.7861328125}, {"start": 2621.14, "end": 2621.8, "word": " is", "probability": 0.90380859375}, {"start": 2621.8, "end": 2623.22, "word": " absolutely", "probability": 0.75390625}, {"start": 2623.22, "end": 2624.66, "word": " convergent", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 118, "seek": 264615, "start": 2626.65, "end": 2646.15, "text": "طيب نيجي الآن هذا تفسير انه اللي هو this shows the .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..", "tokens": [9566, 1829, 3555, 8717, 1829, 7435, 1829, 6024, 48506, 23758, 6055, 36178, 13546, 16472, 3224, 13672, 1829, 31439, 341, 3110, 264, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386], "avg_logprob": -0.09888888994852701, "compression_ratio": 9.877777777777778, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 2626.6499999999996, "end": 2626.91, "word": "طيب", "probability": 0.7598470052083334}, {"start": 2626.91, "end": 2627.17, "word": " نيجي", "probability": 0.67889404296875}, {"start": 2627.17, "end": 2627.57, "word": " الآن", "probability": 0.6043701171875}, {"start": 2627.57, "end": 2628.03, "word": " هذا", "probability": 0.6669921875}, {"start": 2628.03, "end": 2628.65, "word": " تفسير", "probability": 0.9778645833333334}, {"start": 2628.65, "end": 2629.21, "word": " انه", "probability": 0.701904296875}, {"start": 2629.21, "end": 2629.45, "word": " اللي", "probability": 0.565673828125}, {"start": 2629.45, "end": 2629.83, "word": " هو", "probability": 0.9814453125}, {"start": 2629.83, "end": 2630.53, "word": " this", "probability": 0.392578125}, {"start": 2630.53, "end": 2630.89, "word": " shows", "probability": 0.84716796875}, {"start": 2630.89, "end": 2631.19, "word": " the", "probability": 0.30029296875}, {"start": 2631.19, "end": 2631.21, "word": " ..", "probability": 0.33544921875}, {"start": 2631.21, "end": 2631.91, "word": " ال", "probability": 0.62158203125}, {"start": 2631.91, "end": 2631.91, "word": " ..", "probability": 0.88427734375}, {"start": 2631.91, "end": 2632.41, "word": " ال", "probability": 0.93798828125}, {"start": 2632.41, "end": 2632.41, "word": " ..", "probability": 0.947265625}, {"start": 2632.41, "end": 2633.03, "word": " ال", "probability": 0.94189453125}, {"start": 2633.03, "end": 2633.03, "word": " ..", "probability": 0.90087890625}, {"start": 2633.03, "end": 2633.21, "word": " ال", "probability": 0.9052734375}, {"start": 2633.21, "end": 2633.31, "word": " ..", "probability": 0.81298828125}, {"start": 2633.31, "end": 2633.31, "word": " ال", "probability": 0.869140625}, {"start": 2633.31, "end": 2633.33, "word": " ..", "probability": 0.80859375}, {"start": 2633.33, "end": 2633.33, "word": " ال", "probability": 0.861328125}, {"start": 2633.33, "end": 2633.37, "word": " ..", "probability": 0.85302734375}, {"start": 2633.37, "end": 2633.41, "word": " ال", "probability": 0.8779296875}, {"start": 2633.41, "end": 2633.49, "word": " ..", "probability": 0.89990234375}, {"start": 2633.49, "end": 2633.51, "word": " ال", "probability": 0.9033203125}, {"start": 2633.51, "end": 2633.51, "word": " ..", "probability": 0.9306640625}, {"start": 2633.51, "end": 2633.53, "word": " ال", "probability": 0.92236328125}, {"start": 2633.53, "end": 2633.53, "word": " ..", "probability": 0.94921875}, {"start": 2633.53, "end": 2633.53, "word": " ال", "probability": 0.9326171875}, {"start": 2633.53, "end": 2633.53, "word": " ..", "probability": 0.9609375}, {"start": 2633.53, "end": 2633.53, "word": " ال", "probability": 0.939453125}, {"start": 2633.53, "end": 2633.55, "word": " ..", "probability": 0.96923828125}, {"start": 2633.55, "end": 2633.55, "word": " ال", "probability": 0.943359375}, {"start": 2633.55, "end": 2633.55, "word": " ..", "probability": 0.97412109375}, {"start": 2633.55, "end": 2633.55, "word": " ال", "probability": 0.94482421875}, {"start": 2633.55, "end": 2633.75, "word": " ..", "probability": 0.9775390625}, {"start": 2633.75, "end": 2633.77, "word": " ال", "probability": 0.9462890625}, {"start": 2633.77, "end": 2633.77, "word": " ..", "probability": 0.9794921875}, {"start": 2633.77, "end": 2633.77, "word": " ال", "probability": 0.947265625}, {"start": 2633.77, "end": 2633.85, "word": " ..", "probability": 0.98095703125}, {"start": 2633.85, "end": 2633.85, "word": " ال", "probability": 0.94677734375}, {"start": 2633.85, "end": 2633.85, "word": " ..", "probability": 0.98193359375}, {"start": 2633.85, "end": 2633.85, "word": " ال", "probability": 0.947265625}, {"start": 2633.85, "end": 2633.85, "word": " ..", "probability": 0.982421875}, {"start": 2633.85, "end": 2633.85, "word": " ال", "probability": 0.94580078125}, {"start": 2633.85, "end": 2633.87, "word": " ..", "probability": 0.98291015625}, {"start": 2633.87, "end": 2633.87, "word": " ال", "probability": 0.94580078125}, {"start": 2633.87, "end": 2633.87, "word": " ..", "probability": 0.9833984375}, {"start": 2633.87, "end": 2633.87, "word": " ال", "probability": 0.94482421875}, {"start": 2633.87, "end": 2633.97, "word": " ..", "probability": 0.98388671875}, {"start": 2633.97, "end": 2633.97, "word": " ال", "probability": 0.9443359375}, {"start": 2633.97, "end": 2633.97, "word": " ..", "probability": 0.98388671875}, {"start": 2633.97, "end": 2633.97, "word": " ال", "probability": 0.9443359375}, {"start": 2633.97, "end": 2633.99, "word": " ..", "probability": 0.984375}, {"start": 2633.99, "end": 2633.99, "word": " ال", "probability": 0.94384765625}, {"start": 2633.99, "end": 2633.99, "word": " ..", "probability": 0.98486328125}, {"start": 2633.99, "end": 2634.11, "word": " ال", "probability": 0.943359375}, {"start": 2634.11, "end": 2634.19, "word": " ..", "probability": 0.98486328125}, {"start": 2634.19, "end": 2634.19, "word": " ال", "probability": 0.94384765625}, {"start": 2634.19, "end": 2634.19, "word": " ..", "probability": 0.9853515625}, {"start": 2634.19, "end": 2634.19, "word": " ال", "probability": 0.94580078125}, {"start": 2634.19, "end": 2634.23, "word": " ..", "probability": 0.98583984375}, {"start": 2634.23, "end": 2634.23, "word": " ال", "probability": 0.9462890625}, {"start": 2634.23, "end": 2634.23, "word": " ..", "probability": 0.986328125}, {"start": 2634.23, "end": 2634.23, "word": " ال", "probability": 0.94775390625}, {"start": 2634.23, "end": 2634.35, "word": " ..", "probability": 0.986328125}, {"start": 2634.35, "end": 2634.35, "word": " ال", "probability": 0.9482421875}, {"start": 2634.35, "end": 2634.35, "word": " ..", "probability": 0.98681640625}, {"start": 2634.35, "end": 2634.35, "word": " ال", "probability": 0.94970703125}, {"start": 2634.35, "end": 2634.35, "word": " ..", "probability": 0.98681640625}, {"start": 2634.35, "end": 2634.35, "word": " ال", "probability": 0.95068359375}, {"start": 2634.35, "end": 2634.35, "word": " ..", "probability": 0.9873046875}, {"start": 2634.35, "end": 2634.35, "word": " ال", "probability": 0.95166015625}, {"start": 2634.35, "end": 2635.75, "word": " ..", "probability": 0.98681640625}, {"start": 2635.75, "end": 2635.75, "word": " ال", "probability": 0.95361328125}, {"start": 2635.75, "end": 2636.03, "word": " ..", "probability": 0.98779296875}, {"start": 2636.03, "end": 2636.03, "word": " ال", "probability": 0.95361328125}, {"start": 2636.03, "end": 2636.05, "word": " ..", "probability": 0.98779296875}, {"start": 2636.05, "end": 2636.05, "word": " ال", "probability": 0.95556640625}, {"start": 2636.05, "end": 2636.05, "word": " ..", "probability": 0.9873046875}, {"start": 2636.05, "end": 2636.05, "word": " ال", "probability": 0.95751953125}, {"start": 2636.05, "end": 2637.25, "word": " ..", "probability": 0.98779296875}, {"start": 2637.25, "end": 2637.53, "word": " ال", "probability": 0.9580078125}, {"start": 2637.53, "end": 2637.57, "word": " ..", "probability": 0.98828125}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.95947265625}, {"start": 2637.57, "end": 2637.57, "word": " ..", "probability": 0.98779296875}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.96044921875}, {"start": 2637.57, "end": 2637.57, "word": " ..", "probability": 0.98779296875}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.96044921875}, {"start": 2637.57, "end": 2637.57, "word": " ..", "probability": 0.98828125}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.96240234375}, {"start": 2637.57, "end": 2637.57, "word": " ..", "probability": 0.98828125}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.96240234375}, {"start": 2637.57, "end": 2637.57, "word": " ..", "probability": 0.98828125}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.96337890625}, {"start": 2637.57, "end": 2637.57, "word": " ..", "probability": 0.98828125}, {"start": 2637.57, "end": 2637.57, "word": " ال", "probability": 0.9638671875}, {"start": 2637.57, "end": 2637.59, "word": " ..", "probability": 0.98828125}, {"start": 2637.59, "end": 2637.59, "word": " ال", "probability": 0.9638671875}, {"start": 2637.59, "end": 2637.59, "word": " ..", "probability": 0.98828125}, {"start": 2637.59, "end": 2637.59, "word": " ال", "probability": 0.96435546875}, {"start": 2637.59, "end": 2637.59, "word": " ..", "probability": 0.98876953125}, {"start": 2637.59, "end": 2637.59, "word": " ال", "probability": 0.96533203125}, {"start": 2637.59, "end": 2637.59, "word": " ..", "probability": 0.98828125}, {"start": 2637.59, "end": 2637.59, "word": " ال", "probability": 0.96435546875}, {"start": 2637.59, "end": 2637.59, "word": " ..", "probability": 0.98876953125}, {"start": 2637.59, "end": 2637.59, "word": " ال", "probability": 0.96484375}, {"start": 2637.59, "end": 2637.73, "word": " ..", "probability": 0.98876953125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.96435546875}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.98876953125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.9658203125}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.98876953125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.96484375}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.9892578125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.96435546875}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.9892578125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.96533203125}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.9892578125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.96337890625}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.9892578125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.962890625}, {"start": 2637.73, "end": 2637.73, "word": " ..", "probability": 0.9892578125}, {"start": 2637.73, "end": 2637.73, "word": " ال", "probability": 0.96337890625}, {"start": 2637.73, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.962890625}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.9619140625}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.9609375}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.98974609375}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.9599609375}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.9599609375}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.958984375}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.9580078125}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.9892578125}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.9560546875}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.98974609375}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.955078125}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.98974609375}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.955078125}, {"start": 2637.89, "end": 2637.89, "word": " ..", "probability": 0.98974609375}, {"start": 2637.89, "end": 2637.89, "word": " ال", "probability": 0.95263671875}, {"start": 2637.89, "end": 2637.95, "word": " ..", "probability": 0.98974609375}, {"start": 2637.95, "end": 2637.95, "word": " ال", "probability": 0.95068359375}, {"start": 2637.95, "end": 2637.95, "word": " ..", "probability": 0.9892578125}, {"start": 2637.95, "end": 2637.95, "word": " ال", "probability": 0.9501953125}, {"start": 2637.95, "end": 2637.95, "word": " ..", "probability": 0.98974609375}, {"start": 2637.95, "end": 2637.95, "word": " ال", "probability": 0.94970703125}, {"start": 2637.95, "end": 2637.95, "word": " ..", "probability": 0.98974609375}, {"start": 2637.95, "end": 2637.95, "word": " ال", "probability": 0.94677734375}, {"start": 2637.95, "end": 2637.95, "word": " ..", "probability": 0.990234375}, {"start": 2637.95, "end": 2637.95, "word": " ال", "probability": 0.94580078125}, {"start": 2637.95, "end": 2637.95, "word": " ..", "probability": 0.990234375}, {"start": 2637.95, "end": 2637.95, "word": " ال", "probability": 0.94189453125}, {"start": 2637.95, "end": 2637.99, "word": " ..", "probability": 0.990234375}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.93896484375}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.93701171875}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.990234375}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.93505859375}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.93310546875}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.92578125}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.92431640625}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.92041015625}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.9912109375}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.91943359375}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.9091796875}, {"start": 2637.99, "end": 2637.99, "word": " ..", "probability": 0.99072265625}, {"start": 2637.99, "end": 2637.99, "word": " ال", "probability": 0.9052734375}, {"start": 2637.99, "end": 2638.01, "word": " ..", "probability": 0.9912109375}, {"start": 2638.01, "end": 2638.01, "word": " ال", "probability": 0.90380859375}, {"start": 2638.01, "end": 2638.25, "word": " ..", "probability": 0.9912109375}, {"start": 2638.25, "end": 2638.25, "word": " ال", "probability": 0.89208984375}, {"start": 2638.25, "end": 2638.33, "word": " ..", "probability": 0.9912109375}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.88330078125}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.9912109375}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.88232421875}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.9912109375}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.86572265625}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.99169921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.86474609375}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.99169921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.853515625}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.99169921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.83056640625}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.99169921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.8037109375}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.9921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.78466796875}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.99169921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.759765625}, {"start": 2638.33, "end": 2638.33, "word": " ..", "probability": 0.9921875}, {"start": 2638.33, "end": 2638.33, "word": " ال", "probability": 0.7421875}, {"start": 2638.33, "end": 2638.89, "word": " ..", "probability": 0.9921875}, {"start": 2638.89, "end": 2638.89, "word": " ال", "probability": 0.71337890625}, {"start": 2638.89, "end": 2638.89, "word": " ..", "probability": 0.9921875}, {"start": 2638.89, "end": 2638.89, "word": " ال", "probability": 0.6865234375}, {"start": 2638.89, "end": 2640.13, "word": " ..", "probability": 0.9921875}, {"start": 2640.13, "end": 2640.13, "word": " ال", "probability": 0.6767578125}, {"start": 2640.13, "end": 2644.71, "word": " ..", "probability": 0.99267578125}, {"start": 2644.71, "end": 2644.73, "word": " ال", "probability": 0.64111328125}, {"start": 2644.73, "end": 2644.73, "word": " ..", "probability": 0.99267578125}, {"start": 2644.73, "end": 2644.79, "word": " ال", "probability": 0.57421875}, {"start": 2644.79, "end": 2646.15, "word": " ..", "probability": 0.9921875}], "temperature": 1.0}, {"id": 119, "seek": 266558, "start": 2655.0, "end": 2665.58, "text": "نأخد الجزء الثاني الـ similarly تنشوف كيف suppose that", "tokens": [1863, 10721, 9778, 3215, 25724, 11622, 38207, 6024, 104, 7649, 1829, 2423, 39184, 14138, 6055, 1863, 8592, 38688, 9122, 33911, 7297, 300], "avg_logprob": -0.5152853157209314, "compression_ratio": 0.9876543209876543, "no_speech_prob": 2.5153160095214844e-05, "words": [{"start": 2655.0, "end": 2656.4, "word": "نأخد", "probability": 0.434539794921875}, {"start": 2656.4, "end": 2657.02, "word": " الجزء", "probability": 0.9002278645833334}, {"start": 2657.02, "end": 2658.84, "word": " الثاني", "probability": 0.9425048828125}, {"start": 2658.84, "end": 2659.92, "word": " الـ", "probability": 0.459228515625}, {"start": 2659.92, "end": 2661.12, "word": " similarly", "probability": 0.1925048828125}, {"start": 2661.12, "end": 2662.6, "word": " تنشوف", "probability": 0.74505615234375}, {"start": 2662.6, "end": 2662.96, "word": " كيف", "probability": 0.957763671875}, {"start": 2662.96, "end": 2664.94, "word": " suppose", "probability": 0.225830078125}, {"start": 2664.94, "end": 2665.58, "word": " that", "probability": 0.94140625}], "temperature": 1.0}, {"id": 120, "seek": 268788, "start": 2666.48, "end": 2687.88, "text": "suppose that the relation 11 هيها ال relation 11 holds for n أكبر وساوة k وطبعا احنا مفترضين ال a أصغر أو ساوة واحد الان صار عندي ال n ضربنا طرفين في وساطين نفس الاشي فبصير عندي زي ما عملنا قبل شوية ضربنا هذا بصير عندي ال n اللي هو xn زائد واحد", "tokens": [36622, 541, 300, 264, 9721, 2975, 39896, 11296, 2423, 9721, 2975, 9190, 337, 297, 5551, 4117, 26890, 4032, 3794, 995, 2407, 3660, 350, 4032, 9566, 3555, 3615, 995, 1975, 5016, 8315, 3714, 5172, 2655, 43042, 9957, 2423, 257, 5551, 9381, 17082, 2288, 34051, 8608, 995, 2407, 3660, 36764, 24401, 2423, 7649, 20328, 9640, 18871, 16254, 2423, 297, 48812, 25513, 8315, 23032, 28480, 9957, 8978, 46952, 41193, 9957, 8717, 36178, 2423, 33599, 1829, 6156, 3555, 9381, 13546, 18871, 16254, 30767, 1829, 19446, 6225, 42213, 8315, 12174, 36150, 13412, 2407, 10632, 48812, 25513, 8315, 23758, 4724, 9381, 13546, 18871, 16254, 2423, 297, 13672, 1829, 31439, 2031, 77, 30767, 16373, 3215, 36764, 24401], "avg_logprob": -0.2119932478075629, "compression_ratio": 1.72, "no_speech_prob": 7.987022399902344e-06, "words": [{"start": 2666.48, "end": 2667.06, "word": "suppose", "probability": 0.552734375}, {"start": 2667.06, "end": 2667.24, "word": " that", "probability": 0.85009765625}, {"start": 2667.24, "end": 2667.46, "word": " the", "probability": 0.5595703125}, {"start": 2667.46, "end": 2667.84, "word": " relation", "probability": 0.97021484375}, {"start": 2667.84, "end": 2668.36, "word": " 11", "probability": 0.139404296875}, {"start": 2668.36, "end": 2668.88, "word": " هيها", "probability": 0.816650390625}, {"start": 2668.88, "end": 2669.34, "word": " ال", "probability": 0.2236328125}, {"start": 2669.34, "end": 2669.66, "word": " relation", "probability": 0.95361328125}, {"start": 2669.66, "end": 2670.26, "word": " 11", "probability": 0.861328125}, {"start": 2670.26, "end": 2671.4, "word": " holds", "probability": 0.55029296875}, {"start": 2671.4, "end": 2671.78, "word": " for", "probability": 0.92431640625}, {"start": 2671.78, "end": 2671.96, "word": " n", "probability": 0.5810546875}, {"start": 2671.96, "end": 2672.3, "word": " أكبر", "probability": 0.9388020833333334}, {"start": 2672.3, "end": 2672.74, "word": " وساوة", "probability": 0.4887451171875}, {"start": 2672.74, "end": 2673.0, "word": " k", "probability": 0.36767578125}, {"start": 2673.0, "end": 2673.84, "word": " وطبعا", "probability": 0.8951171875}, {"start": 2673.84, "end": 2674.06, "word": " احنا", "probability": 0.8885091145833334}, {"start": 2674.06, "end": 2674.58, "word": " مفترضين", "probability": 0.98427734375}, {"start": 2674.58, "end": 2674.7, "word": " ال", "probability": 0.85888671875}, {"start": 2674.7, "end": 2674.82, "word": " a", "probability": 0.69921875}, {"start": 2674.82, "end": 2675.18, "word": " أصغر", "probability": 0.98681640625}, {"start": 2675.18, "end": 2675.3, "word": " أو", "probability": 0.74462890625}, {"start": 2675.3, "end": 2675.64, "word": " ساوة", "probability": 0.886962890625}, {"start": 2675.64, "end": 2675.98, "word": " واحد", "probability": 0.849609375}, {"start": 2675.98, "end": 2676.8, "word": " الان", "probability": 0.555908203125}, {"start": 2676.8, "end": 2677.08, "word": " صار", "probability": 0.97509765625}, {"start": 2677.08, "end": 2677.42, "word": " عندي", "probability": 0.877685546875}, {"start": 2677.42, "end": 2677.7, "word": " ال", "probability": 0.92529296875}, {"start": 2677.7, "end": 2678.0, "word": " n", "probability": 0.59130859375}, {"start": 2678.0, "end": 2679.22, "word": " ضربنا", "probability": 0.91064453125}, {"start": 2679.22, "end": 2679.64, "word": " طرفين", "probability": 0.935546875}, {"start": 2679.64, "end": 2679.76, "word": " في", "probability": 0.72802734375}, {"start": 2679.76, "end": 2680.16, "word": " وساطين", "probability": 0.8792317708333334}, {"start": 2680.16, "end": 2680.4, "word": " نفس", "probability": 0.992919921875}, {"start": 2680.4, "end": 2681.0, "word": " الاشي", "probability": 0.84375}, {"start": 2681.0, "end": 2681.72, "word": " فبصير", "probability": 0.93701171875}, {"start": 2681.72, "end": 2682.06, "word": " عندي", "probability": 0.963134765625}, {"start": 2682.06, "end": 2682.26, "word": " زي", "probability": 0.897705078125}, {"start": 2682.26, "end": 2682.32, "word": " ما", "probability": 0.9736328125}, {"start": 2682.32, "end": 2682.58, "word": " عملنا", "probability": 0.9845377604166666}, {"start": 2682.58, "end": 2682.8, "word": " قبل", "probability": 0.917724609375}, {"start": 2682.8, "end": 2683.12, "word": " شوية", "probability": 0.8846028645833334}, {"start": 2683.12, "end": 2683.48, "word": " ضربنا", "probability": 0.99267578125}, {"start": 2683.48, "end": 2683.78, "word": " هذا", "probability": 0.93505859375}, {"start": 2683.78, "end": 2684.68, "word": " بصير", "probability": 0.9195963541666666}, {"start": 2684.68, "end": 2685.08, "word": " عندي", "probability": 0.948974609375}, {"start": 2685.08, "end": 2685.32, "word": " ال", "probability": 0.958984375}, {"start": 2685.32, "end": 2685.66, "word": " n", "probability": 0.85888671875}, {"start": 2685.66, "end": 2686.2, "word": " اللي", "probability": 0.915771484375}, {"start": 2686.2, "end": 2686.4, "word": " هو", "probability": 0.96337890625}, {"start": 2686.4, "end": 2686.88, "word": " xn", "probability": 0.6507568359375}, {"start": 2686.88, "end": 2687.3, "word": " زائد", "probability": 0.8795572916666666}, {"start": 2687.3, "end": 2687.88, "word": " واحد", "probability": 0.821533203125}], "temperature": 1.0}, {"id": 121, "seek": 270297, "start": 2688.69, "end": 2702.97, "text": "أ أصغر أكبر أو يساوي هذا في هذا وضربنا في n فصارت ال n في xn زائد واحد أكبر أو يساوي لما ضربت ال n هنا بيصير n ناقص a في ال absolute value لل xn", "tokens": [10721, 5551, 9381, 17082, 2288, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 23758, 8978, 23758, 4032, 11242, 25513, 8315, 8978, 297, 6156, 9381, 9640, 2655, 2423, 297, 8978, 2031, 77, 30767, 16373, 3215, 36764, 24401, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 5296, 15042, 48812, 25513, 2655, 2423, 297, 34105, 4724, 1829, 9381, 13546, 297, 8717, 995, 4587, 9381, 257, 8978, 2423, 8236, 2158, 24976, 2031, 77], "avg_logprob": -0.23325893538338796, "compression_ratio": 1.6041666666666667, "no_speech_prob": 2.9802322387695312e-06, "words": [{"start": 2688.69, "end": 2689.05, "word": "أ", "probability": 0.269775390625}, {"start": 2689.05, "end": 2689.93, "word": " أصغر", "probability": 0.72650146484375}, {"start": 2689.93, "end": 2690.33, "word": " أكبر", "probability": 0.801513671875}, {"start": 2690.33, "end": 2690.45, "word": " أو", "probability": 0.892578125}, {"start": 2690.45, "end": 2690.97, "word": " يساوي", "probability": 0.9710693359375}, {"start": 2690.97, "end": 2691.37, "word": " هذا", "probability": 0.495849609375}, {"start": 2691.37, "end": 2691.59, "word": " في", "probability": 0.88720703125}, {"start": 2691.59, "end": 2691.97, "word": " هذا", "probability": 0.9521484375}, {"start": 2691.97, "end": 2692.55, "word": " وضربنا", "probability": 0.8316650390625}, {"start": 2692.55, "end": 2692.69, "word": " في", "probability": 0.86083984375}, {"start": 2692.69, "end": 2692.91, "word": " n", "probability": 0.275634765625}, {"start": 2692.91, "end": 2693.53, "word": " فصارت", "probability": 0.8482666015625}, {"start": 2693.53, "end": 2693.67, "word": " ال", "probability": 0.89794921875}, {"start": 2693.67, "end": 2693.87, "word": " n", "probability": 0.45703125}, {"start": 2693.87, "end": 2694.39, "word": " في", "probability": 0.8310546875}, {"start": 2694.39, "end": 2694.69, "word": " xn", "probability": 0.596435546875}, {"start": 2694.69, "end": 2694.99, "word": " زائد", "probability": 0.8328450520833334}, {"start": 2694.99, "end": 2695.45, "word": " واحد", "probability": 0.82080078125}, {"start": 2695.45, "end": 2696.25, "word": " أكبر", "probability": 0.9552408854166666}, {"start": 2696.25, "end": 2696.41, "word": " أو", "probability": 0.93505859375}, {"start": 2696.41, "end": 2697.01, "word": " يساوي", "probability": 0.9833984375}, {"start": 2697.01, "end": 2697.27, "word": " لما", "probability": 0.9287109375}, {"start": 2697.27, "end": 2697.63, "word": " ضربت", "probability": 0.95556640625}, {"start": 2697.63, "end": 2697.73, "word": " ال", "probability": 0.892578125}, {"start": 2697.73, "end": 2697.89, "word": " n", "probability": 0.802734375}, {"start": 2697.89, "end": 2698.09, "word": " هنا", "probability": 0.65673828125}, {"start": 2698.09, "end": 2698.43, "word": " بيصير", "probability": 0.8580322265625}, {"start": 2698.43, "end": 2698.71, "word": " n", "probability": 0.70361328125}, {"start": 2698.71, "end": 2699.21, "word": " ناقص", "probability": 0.920654296875}, {"start": 2699.21, "end": 2699.57, "word": " a", "probability": 0.76025390625}, {"start": 2699.57, "end": 2700.75, "word": " في", "probability": 0.11541748046875}, {"start": 2700.75, "end": 2700.91, "word": " ال", "probability": 0.77783203125}, {"start": 2700.91, "end": 2701.25, "word": " absolute", "probability": 0.849609375}, {"start": 2701.25, "end": 2701.91, "word": " value", "probability": 0.990234375}, {"start": 2701.91, "end": 2702.45, "word": " لل", "probability": 0.77294921875}, {"start": 2702.45, "end": 2702.97, "word": " xn", "probability": 0.792724609375}], "temperature": 1.0}, {"id": 122, "seek": 272161, "start": 2703.49, "end": 2721.61, "text": "الان ال a أصغر يساوي واحد إذا ناقص ال a أكبر يساوي ناقص واحد فما دام ناقص ال a أكبر يساوي ناقص واحد إذا صارت عندي n ناقص a في absolute value xn أكبر يساوي n ناقص واحد في absolute value xn لكل n ناقصة وk هذه لإن ال a أصغر يساوي واحد", "tokens": [6027, 7649, 2423, 257, 5551, 9381, 17082, 2288, 7251, 3794, 995, 45865, 36764, 24401, 11933, 15730, 8717, 995, 4587, 9381, 2423, 257, 5551, 4117, 26890, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 6156, 15042, 11778, 10943, 8717, 995, 4587, 9381, 2423, 257, 5551, 4117, 26890, 7251, 3794, 995, 45865, 8717, 995, 4587, 9381, 36764, 24401, 11933, 15730, 20328, 9640, 2655, 18871, 16254, 297, 8717, 995, 4587, 9381, 257, 8978, 8236, 2158, 2031, 77, 5551, 4117, 26890, 7251, 3794, 995, 45865, 297, 8717, 995, 4587, 9381, 36764, 24401, 8978, 8236, 2158, 2031, 77, 5296, 28820, 297, 8717, 995, 4587, 9381, 3660, 4032, 74, 29538, 5296, 28814, 1863, 2423, 257, 5551, 9381, 17082, 2288, 7251, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.1411372961812332, "compression_ratio": 2.348101265822785, "no_speech_prob": 1.806020736694336e-05, "words": [{"start": 2703.49, "end": 2704.07, "word": "الان", "probability": 0.6864013671875}, {"start": 2704.07, "end": 2705.17, "word": " ال", "probability": 0.73388671875}, {"start": 2705.17, "end": 2705.49, "word": " a", "probability": 0.374267578125}, {"start": 2705.49, "end": 2705.95, "word": " أصغر", "probability": 0.9609375}, {"start": 2705.95, "end": 2706.35, "word": " يساوي", "probability": 0.825927734375}, {"start": 2706.35, "end": 2706.69, "word": " واحد", "probability": 0.85986328125}, {"start": 2706.69, "end": 2706.99, "word": " إذا", "probability": 0.9169921875}, {"start": 2706.99, "end": 2707.57, "word": " ناقص", "probability": 0.888916015625}, {"start": 2707.57, "end": 2707.73, "word": " ال", "probability": 0.955078125}, {"start": 2707.73, "end": 2707.87, "word": " a", "probability": 0.96826171875}, {"start": 2707.87, "end": 2708.23, "word": " أكبر", "probability": 0.9807942708333334}, {"start": 2708.23, "end": 2708.57, "word": " يساوي", "probability": 0.9722900390625}, {"start": 2708.57, "end": 2708.91, "word": " ناقص", "probability": 0.9637451171875}, {"start": 2708.91, "end": 2709.33, "word": " واحد", "probability": 0.9853515625}, {"start": 2709.33, "end": 2710.01, "word": " فما", "probability": 0.64794921875}, {"start": 2710.01, "end": 2710.29, "word": " دام", "probability": 0.85693359375}, {"start": 2710.29, "end": 2710.73, "word": " ناقص", "probability": 0.9892578125}, {"start": 2710.73, "end": 2710.87, "word": " ال", "probability": 0.98291015625}, {"start": 2710.87, "end": 2710.97, "word": " a", "probability": 0.984375}, {"start": 2710.97, "end": 2711.27, "word": " أكبر", "probability": 0.98046875}, {"start": 2711.27, "end": 2711.51, "word": " يساوي", "probability": 0.9879150390625}, {"start": 2711.51, "end": 2711.79, "word": " ناقص", "probability": 0.9879150390625}, {"start": 2711.79, "end": 2712.07, "word": " واحد", "probability": 0.994140625}, {"start": 2712.07, "end": 2712.23, "word": " إذا", "probability": 0.91162109375}, {"start": 2712.23, "end": 2712.55, "word": " صارت", "probability": 0.74609375}, {"start": 2712.55, "end": 2712.79, "word": " عندي", "probability": 0.8427734375}, {"start": 2712.79, "end": 2712.97, "word": " n", "probability": 0.27099609375}, {"start": 2712.97, "end": 2713.35, "word": " ناقص", "probability": 0.97705078125}, {"start": 2713.35, "end": 2713.49, "word": " a", "probability": 0.96826171875}, {"start": 2713.49, "end": 2713.65, "word": " في", "probability": 0.953125}, {"start": 2713.65, "end": 2713.99, "word": " absolute", "probability": 0.59375}, {"start": 2713.99, "end": 2714.29, "word": " value", "probability": 0.98779296875}, {"start": 2714.29, "end": 2714.73, "word": " xn", "probability": 0.298095703125}, {"start": 2714.73, "end": 2715.43, "word": " أكبر", "probability": 0.9775390625}, {"start": 2715.43, "end": 2715.71, "word": " يساوي", "probability": 0.97607421875}, {"start": 2715.71, "end": 2715.95, "word": " n", "probability": 0.9443359375}, {"start": 2715.95, "end": 2716.25, "word": " ناقص", "probability": 0.9908447265625}, {"start": 2716.25, "end": 2716.57, "word": " واحد", "probability": 0.955322265625}, {"start": 2716.57, "end": 2716.69, "word": " في", "probability": 0.9833984375}, {"start": 2716.69, "end": 2716.97, "word": " absolute", "probability": 0.7763671875}, {"start": 2716.97, "end": 2717.41, "word": " value", "probability": 0.99072265625}, {"start": 2717.41, "end": 2717.85, "word": " xn", "probability": 0.963134765625}, {"start": 2717.85, "end": 2718.19, "word": " لكل", "probability": 0.972412109375}, {"start": 2718.19, "end": 2718.37, "word": " n", "probability": 0.80615234375}, {"start": 2718.37, "end": 2718.77, "word": " ناقصة", "probability": 0.7421875}, {"start": 2718.77, "end": 2719.07, "word": " وk", "probability": 0.6275634765625}, {"start": 2719.07, "end": 2719.73, "word": " هذه", "probability": 0.473876953125}, {"start": 2719.73, "end": 2720.09, "word": " لإن", "probability": 0.818115234375}, {"start": 2720.09, "end": 2720.25, "word": " ال", "probability": 0.96875}, {"start": 2720.25, "end": 2720.39, "word": " a", "probability": 0.9794921875}, {"start": 2720.39, "end": 2720.75, "word": " أصغر", "probability": 0.993408203125}, {"start": 2720.75, "end": 2721.19, "word": " يساوي", "probability": 0.9884033203125}, {"start": 2721.19, "end": 2721.61, "word": " واحد", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 123, "seek": 274584, "start": 2722.12, "end": 2745.84, "text": "الأنصار عندي الان واضح انه ال sequence اللي هو الان xn زائد واحد أكبر أو سوى n ناقص واحد xn يعني ال sequence هذه صارت increasing for n أكبر أو سوى k ما زم increasing إذا there exists c such that الان في ال absolute value xn زائد واحد أكبر من مين من c for n أكبر أو سوى k", "tokens": [6027, 33456, 9381, 9640, 18871, 16254, 2423, 7649, 4032, 46958, 5016, 16472, 3224, 2423, 8310, 13672, 1829, 31439, 2423, 7649, 2031, 77, 30767, 16373, 3215, 36764, 24401, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 297, 8717, 995, 4587, 9381, 36764, 24401, 2031, 77, 37495, 22653, 2423, 8310, 8032, 8848, 3224, 20328, 9640, 2655, 5662, 337, 297, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 350, 19446, 30767, 2304, 5662, 11933, 15730, 456, 8198, 269, 1270, 300, 2423, 7649, 8978, 2423, 8236, 2158, 2031, 77, 30767, 16373, 3215, 36764, 24401, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 269, 337, 297, 5551, 4117, 26890, 34051, 8608, 2407, 7578, 350], "avg_logprob": -0.237733650708867, "compression_ratio": 1.841121495327103, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2722.12, "end": 2722.76, "word": "الأنصار", "probability": 0.726806640625}, {"start": 2722.76, "end": 2723.16, "word": " عندي", "probability": 0.6427001953125}, {"start": 2723.16, "end": 2723.58, "word": " الان", "probability": 0.6099853515625}, {"start": 2723.58, "end": 2724.2, "word": " واضح", "probability": 0.9392903645833334}, {"start": 2724.2, "end": 2724.62, "word": " انه", "probability": 0.5262451171875}, {"start": 2724.62, "end": 2724.8, "word": " ال", "probability": 0.8935546875}, {"start": 2724.8, "end": 2725.48, "word": " sequence", "probability": 0.78564453125}, {"start": 2725.48, "end": 2726.14, "word": " اللي", "probability": 0.79443359375}, {"start": 2726.14, "end": 2726.34, "word": " هو", "probability": 0.9599609375}, {"start": 2726.34, "end": 2726.72, "word": " الان", "probability": 0.743408203125}, {"start": 2726.72, "end": 2727.26, "word": " xn", "probability": 0.5169677734375}, {"start": 2727.26, "end": 2727.6, "word": " زائد", "probability": 0.7117513020833334}, {"start": 2727.6, "end": 2727.98, "word": " واحد", "probability": 0.933349609375}, {"start": 2727.98, "end": 2728.4, "word": " أكبر", "probability": 0.9078776041666666}, {"start": 2728.4, "end": 2728.58, "word": " أو", "probability": 0.861328125}, {"start": 2728.58, "end": 2728.9, "word": " سوى", "probability": 0.6243489583333334}, {"start": 2728.9, "end": 2729.14, "word": " n", "probability": 0.263671875}, {"start": 2729.14, "end": 2729.52, "word": " ناقص", "probability": 0.8740234375}, {"start": 2729.52, "end": 2729.8, "word": " واحد", "probability": 0.9443359375}, {"start": 2729.8, "end": 2730.26, "word": " xn", "probability": 0.94775390625}, {"start": 2730.26, "end": 2730.86, "word": " يعني", "probability": 0.881591796875}, {"start": 2730.86, "end": 2730.98, "word": " ال", "probability": 0.92822265625}, {"start": 2730.98, "end": 2731.3, "word": " sequence", "probability": 0.95166015625}, {"start": 2731.3, "end": 2731.62, "word": " هذه", "probability": 0.4867350260416667}, {"start": 2731.62, "end": 2731.96, "word": " صارت", "probability": 0.9352213541666666}, {"start": 2731.96, "end": 2733.22, "word": " increasing", "probability": 0.9775390625}, {"start": 2733.22, "end": 2733.94, "word": " for", "probability": 0.8798828125}, {"start": 2733.94, "end": 2734.18, "word": " n", "probability": 0.447509765625}, {"start": 2734.18, "end": 2734.5, "word": " أكبر", "probability": 0.9697265625}, {"start": 2734.5, "end": 2734.62, "word": " أو", "probability": 0.3017578125}, {"start": 2734.62, "end": 2734.88, "word": " سوى", "probability": 0.87060546875}, {"start": 2734.88, "end": 2734.94, "word": " k", "probability": 0.77099609375}, {"start": 2734.94, "end": 2735.1, "word": " ما", "probability": 0.48291015625}, {"start": 2735.1, "end": 2735.26, "word": " زم", "probability": 0.6456298828125}, {"start": 2735.26, "end": 2735.9, "word": " increasing", "probability": 0.98486328125}, {"start": 2735.9, "end": 2736.64, "word": " إذا", "probability": 0.5672607421875}, {"start": 2736.64, "end": 2736.98, "word": " there", "probability": 0.80517578125}, {"start": 2736.98, "end": 2737.5, "word": " exists", "probability": 0.70947265625}, {"start": 2737.5, "end": 2737.94, "word": " c", "probability": 0.6044921875}, {"start": 2737.94, "end": 2739.0, "word": " such", "probability": 0.95654296875}, {"start": 2739.0, "end": 2739.38, "word": " that", "probability": 0.94384765625}, {"start": 2739.38, "end": 2739.9, "word": " الان", "probability": 0.900146484375}, {"start": 2739.9, "end": 2740.26, "word": " في", "probability": 0.92578125}, {"start": 2740.26, "end": 2740.36, "word": " ال", "probability": 0.8115234375}, {"start": 2740.36, "end": 2740.68, "word": " absolute", "probability": 0.8525390625}, {"start": 2740.68, "end": 2741.08, "word": " value", "probability": 0.9931640625}, {"start": 2741.08, "end": 2741.48, "word": " xn", "probability": 0.8779296875}, {"start": 2741.48, "end": 2741.76, "word": " زائد", "probability": 0.8894856770833334}, {"start": 2741.76, "end": 2742.0, "word": " واحد", "probability": 0.97802734375}, {"start": 2742.0, "end": 2742.34, "word": " أكبر", "probability": 0.96923828125}, {"start": 2742.34, "end": 2742.52, "word": " من", "probability": 0.9921875}, {"start": 2742.52, "end": 2742.9, "word": " مين", "probability": 0.808837890625}, {"start": 2742.9, "end": 2743.58, "word": " من", "probability": 0.90283203125}, {"start": 2743.58, "end": 2743.96, "word": " c", "probability": 0.86181640625}, {"start": 2743.96, "end": 2744.4, "word": " for", "probability": 0.916015625}, {"start": 2744.4, "end": 2744.7, "word": " n", "probability": 0.9521484375}, {"start": 2744.7, "end": 2745.14, "word": " أكبر", "probability": 0.9811197916666666}, {"start": 2745.14, "end": 2745.3, "word": " أو", "probability": 0.91552734375}, {"start": 2745.3, "end": 2745.7, "word": " سوى", "probability": 0.9436848958333334}, {"start": 2745.7, "end": 2745.84, "word": " k", "probability": 0.970703125}], "temperature": 1.0}, {"id": 124, "seek": 276827, "start": 2746.37, "end": 2768.27, "text": "ماشي الحال صارت مدام هذه ال series increasing إذا أكيد هتكون أكبر من إياش و من some c لأنها بتتزايد مدام صارت أكبر من some c و ليكن الحد الأول مثلا and sole absolute value xn زائد واحد أصغر من c عالمين على ال and", "tokens": [2304, 33599, 1829, 21542, 6027, 20328, 9640, 2655, 3714, 3215, 10943, 29538, 2423, 2638, 5662, 11933, 15730, 5551, 4117, 25708, 8032, 2655, 30544, 5551, 4117, 26890, 9154, 11933, 1829, 33599, 4032, 9154, 512, 269, 5296, 33456, 11296, 39894, 2655, 11622, 995, 25708, 3714, 3215, 10943, 20328, 9640, 2655, 5551, 4117, 26890, 9154, 512, 269, 4032, 32239, 19452, 21542, 3215, 16247, 12610, 50113, 15040, 293, 12321, 8236, 2158, 2031, 77, 30767, 16373, 3215, 36764, 24401, 5551, 9381, 17082, 2288, 9154, 269, 6225, 45340, 9957, 15844, 2423, 293], "avg_logprob": -0.24443247366225582, "compression_ratio": 1.607843137254902, "no_speech_prob": 1.1265277862548828e-05, "words": [{"start": 2746.37, "end": 2746.69, "word": "ماشي", "probability": 0.908203125}, {"start": 2746.69, "end": 2747.09, "word": " الحال", "probability": 0.903564453125}, {"start": 2747.09, "end": 2747.97, "word": " صارت", "probability": 0.9366861979166666}, {"start": 2747.97, "end": 2748.23, "word": " مدام", "probability": 0.5868326822916666}, {"start": 2748.23, "end": 2748.47, "word": " هذه", "probability": 0.51708984375}, {"start": 2748.47, "end": 2748.63, "word": " ال", "probability": 0.8515625}, {"start": 2748.63, "end": 2748.81, "word": " series", "probability": 0.48876953125}, {"start": 2748.81, "end": 2749.75, "word": " increasing", "probability": 0.9580078125}, {"start": 2749.75, "end": 2750.49, "word": " إذا", "probability": 0.614501953125}, {"start": 2750.49, "end": 2750.89, "word": " أكيد", "probability": 0.9176432291666666}, {"start": 2750.89, "end": 2751.33, "word": " هتكون", "probability": 0.8528645833333334}, {"start": 2751.33, "end": 2751.73, "word": " أكبر", "probability": 0.9591471354166666}, {"start": 2751.73, "end": 2751.91, "word": " من", "probability": 0.9755859375}, {"start": 2751.91, "end": 2752.19, "word": " إياش", "probability": 0.6021321614583334}, {"start": 2752.19, "end": 2752.29, "word": " و", "probability": 0.498291015625}, {"start": 2752.29, "end": 2752.37, "word": " من", "probability": 0.78076171875}, {"start": 2752.37, "end": 2752.61, "word": " some", "probability": 0.5947265625}, {"start": 2752.61, "end": 2752.95, "word": " c", "probability": 0.5830078125}, {"start": 2752.95, "end": 2755.63, "word": " لأنها", "probability": 0.681396484375}, {"start": 2755.63, "end": 2756.41, "word": " بتتزايد", "probability": 0.8791015625}, {"start": 2756.41, "end": 2757.27, "word": " مدام", "probability": 0.8694661458333334}, {"start": 2757.27, "end": 2757.63, "word": " صارت", "probability": 0.97119140625}, {"start": 2757.63, "end": 2757.95, "word": " أكبر", "probability": 0.9763997395833334}, {"start": 2757.95, "end": 2758.11, "word": " من", "probability": 0.9931640625}, {"start": 2758.11, "end": 2758.37, "word": " some", "probability": 0.90185546875}, {"start": 2758.37, "end": 2758.81, "word": " c", "probability": 0.89990234375}, {"start": 2758.81, "end": 2759.59, "word": " و", "probability": 0.79296875}, {"start": 2759.59, "end": 2759.91, "word": " ليكن", "probability": 0.76953125}, {"start": 2759.91, "end": 2760.27, "word": " الحد", "probability": 0.9873046875}, {"start": 2760.27, "end": 2760.63, "word": " الأول", "probability": 0.985107421875}, {"start": 2760.63, "end": 2761.09, "word": " مثلا", "probability": 0.962158203125}, {"start": 2761.09, "end": 2761.75, "word": " and", "probability": 0.271240234375}, {"start": 2761.75, "end": 2761.99, "word": " sole", "probability": 0.69091796875}, {"start": 2761.99, "end": 2762.29, "word": " absolute", "probability": 0.8916015625}, {"start": 2762.29, "end": 2762.65, "word": " value", "probability": 0.98291015625}, {"start": 2762.65, "end": 2763.01, "word": " xn", "probability": 0.3990478515625}, {"start": 2763.01, "end": 2763.37, "word": " زائد", "probability": 0.6817220052083334}, {"start": 2763.37, "end": 2763.77, "word": " واحد", "probability": 0.6944580078125}, {"start": 2763.77, "end": 2764.61, "word": " أصغر", "probability": 0.9813232421875}, {"start": 2764.61, "end": 2765.23, "word": " من", "probability": 0.99072265625}, {"start": 2765.23, "end": 2765.55, "word": " c", "probability": 0.70458984375}, {"start": 2765.55, "end": 2766.31, "word": " عالمين", "probability": 0.6776529947916666}, {"start": 2766.31, "end": 2767.19, "word": " على", "probability": 0.89404296875}, {"start": 2767.19, "end": 2768.03, "word": " ال", "probability": 0.89208984375}, {"start": 2768.03, "end": 2768.27, "word": " and", "probability": 0.646484375}], "temperature": 1.0}, {"id": 125, "seek": 278758, "start": 2768.76, "end": 2787.58, "text": "قسمنا على مين على الان الان هذه ال series diverse تبعتها ال series هذه تبعت اللي هي واحدة الان diverse إذا من باب أولى بال comparison test هذه تكون diverse أو بمعنى آخر ال series summation xn is not absolutely convergent", "tokens": [4587, 38251, 8315, 15844, 3714, 9957, 15844, 2423, 7649, 2423, 7649, 29538, 2423, 2638, 9521, 6055, 3555, 34268, 11296, 2423, 2638, 29538, 6055, 3555, 34268, 13672, 1829, 39896, 36764, 24401, 3660, 2423, 7649, 9521, 11933, 15730, 9154, 4724, 16758, 5551, 12610, 7578, 20666, 9660, 1500, 29538, 6055, 30544, 9521, 34051, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 2423, 2638, 28811, 2031, 77, 307, 406, 3122, 9652, 6930], "avg_logprob": -0.3026194988804705, "compression_ratio": 1.6542553191489362, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 2768.76, "end": 2769.26, "word": "قسمنا", "probability": 0.7125651041666666}, {"start": 2769.26, "end": 2769.42, "word": " على", "probability": 0.7587890625}, {"start": 2769.42, "end": 2769.64, "word": " مين", "probability": 0.46240234375}, {"start": 2769.64, "end": 2769.8, "word": " على", "probability": 0.3525390625}, {"start": 2769.8, "end": 2770.04, "word": " الان", "probability": 0.587646484375}, {"start": 2770.04, "end": 2770.84, "word": " الان", "probability": 0.6761474609375}, {"start": 2770.84, "end": 2771.3, "word": " هذه", "probability": 0.57861328125}, {"start": 2771.3, "end": 2771.5, "word": " ال", "probability": 0.87939453125}, {"start": 2771.5, "end": 2771.82, "word": " series", "probability": 0.796875}, {"start": 2771.82, "end": 2772.54, "word": " diverse", "probability": 0.64208984375}, {"start": 2772.54, "end": 2773.48, "word": " تبعتها", "probability": 0.9248046875}, {"start": 2773.48, "end": 2774.3, "word": " ال", "probability": 0.55810546875}, {"start": 2774.3, "end": 2774.64, "word": " series", "probability": 0.9130859375}, {"start": 2774.64, "end": 2774.96, "word": " هذه", "probability": 0.6015625}, {"start": 2774.96, "end": 2775.32, "word": " تبعت", "probability": 0.9095052083333334}, {"start": 2775.32, "end": 2775.46, "word": " اللي", "probability": 0.7095947265625}, {"start": 2775.46, "end": 2775.62, "word": " هي", "probability": 0.87353515625}, {"start": 2775.62, "end": 2776.02, "word": " واحدة", "probability": 0.9347330729166666}, {"start": 2776.02, "end": 2776.24, "word": " الان", "probability": 0.7607421875}, {"start": 2776.24, "end": 2776.86, "word": " diverse", "probability": 0.60400390625}, {"start": 2776.86, "end": 2777.72, "word": " إذا", "probability": 0.7421875}, {"start": 2777.72, "end": 2778.0, "word": " من", "probability": 0.68701171875}, {"start": 2778.0, "end": 2778.28, "word": " باب", "probability": 0.8349609375}, {"start": 2778.28, "end": 2778.62, "word": " أولى", "probability": 0.8893229166666666}, {"start": 2778.62, "end": 2778.76, "word": " بال", "probability": 0.8544921875}, {"start": 2778.76, "end": 2779.16, "word": " comparison", "probability": 0.91552734375}, {"start": 2779.16, "end": 2779.56, "word": " test", "probability": 0.8330078125}, {"start": 2779.56, "end": 2779.88, "word": " هذه", "probability": 0.54345703125}, {"start": 2779.88, "end": 2780.22, "word": " تكون", "probability": 0.971435546875}, {"start": 2780.22, "end": 2781.36, "word": " diverse", "probability": 0.33349609375}, {"start": 2781.36, "end": 2781.8, "word": " أو", "probability": 0.73583984375}, {"start": 2781.8, "end": 2782.16, "word": " بمعنى", "probability": 0.97802734375}, {"start": 2782.16, "end": 2782.58, "word": " آخر", "probability": 0.804443359375}, {"start": 2782.58, "end": 2783.1, "word": " ال", "probability": 0.580078125}, {"start": 2783.1, "end": 2783.52, "word": " series", "probability": 0.90966796875}, {"start": 2783.52, "end": 2783.96, "word": " summation", "probability": 0.338623046875}, {"start": 2783.96, "end": 2784.9, "word": " xn", "probability": 0.4061279296875}, {"start": 2784.9, "end": 2785.1, "word": " is", "probability": 0.76318359375}, {"start": 2785.1, "end": 2785.44, "word": " not", "probability": 0.9443359375}, {"start": 2785.44, "end": 2786.36, "word": " absolutely", "probability": 0.7080078125}, {"start": 2786.36, "end": 2787.58, "word": " convergent", "probability": 0.971923828125}], "temperature": 1.0}, {"id": 126, "seek": 281699, "start": 2787.93, "end": 2816.99, "text": "وهذا هو الـ Reopts Test الآن ناخد الـ Corollary له الـ Corollary طبعاً هتنسحب على إيش يا جماعة؟ هتنسحب زي ما هو المنهج اللي بنعمله إحنا بناخد ال test و بناخد ال limit تبعه أو limit test تبعه وهنا ال limit test تبع ال Reopts Test نشوف إيش اللي بيعطينا ياه و عادة اللي هي ال limits بتكون في الغالب أسهل أو أسهل في التعامل من اللي هو ال comparison العادي", "tokens": [2407, 3224, 15730, 31439, 2423, 39184, 1300, 404, 1373, 9279, 6024, 48506, 8717, 47283, 3215, 2423, 39184, 3925, 1833, 822, 46740, 2423, 39184, 3925, 1833, 822, 23032, 3555, 3615, 995, 14111, 8032, 2655, 1863, 3794, 5016, 3555, 15844, 11933, 1829, 8592, 35186, 10874, 15042, 27884, 22807, 8032, 2655, 1863, 3794, 5016, 3555, 30767, 1829, 19446, 31439, 9673, 1863, 3224, 7435, 13672, 1829, 44945, 25957, 43761, 11933, 5016, 8315, 44945, 47283, 3215, 2423, 1500, 4032, 44945, 47283, 3215, 2423, 4948, 6055, 3555, 3615, 3224, 34051, 4948, 1500, 6055, 3555, 3615, 3224, 37037, 8315, 2423, 4948, 1500, 6055, 3555, 3615, 2423, 1300, 404, 1373, 9279, 8717, 8592, 38688, 11933, 1829, 8592, 13672, 1829, 4724, 40228, 9566, 1829, 8315, 35186, 3224, 4032, 6225, 18513, 3660, 13672, 1829, 39896, 2423, 10406, 39894, 30544, 8978, 6024, 118, 6027, 3555, 5551, 3794, 3224, 1211, 34051, 5551, 3794, 3224, 1211, 8978, 16712, 3615, 10943, 1211, 9154, 13672, 1829, 31439, 2423, 9660, 18863, 995, 16254], "avg_logprob": -0.17414952305298817, "compression_ratio": 2.0036363636363634, "no_speech_prob": 5.7220458984375e-06, "words": [{"start": 2787.93, "end": 2788.41, "word": "وهذا", "probability": 0.7342122395833334}, {"start": 2788.41, "end": 2788.75, "word": " هو", "probability": 0.98828125}, {"start": 2788.75, "end": 2789.01, "word": " الـ", "probability": 0.845947265625}, {"start": 2789.01, "end": 2789.51, "word": " Reopts", "probability": 0.2739664713541667}, {"start": 2789.51, "end": 2789.99, "word": " Test", "probability": 0.48388671875}, {"start": 2789.99, "end": 2791.07, "word": " الآن", "probability": 0.5557861328125}, {"start": 2791.07, "end": 2792.15, "word": " ناخد", "probability": 0.72705078125}, {"start": 2792.15, "end": 2792.29, "word": " الـ", "probability": 0.5374755859375}, {"start": 2792.29, "end": 2792.79, "word": " Corollary", "probability": 0.9392903645833334}, {"start": 2792.79, "end": 2793.17, "word": " له", "probability": 0.42138671875}, {"start": 2793.17, "end": 2793.81, "word": " الـ", "probability": 0.709228515625}, {"start": 2793.81, "end": 2794.23, "word": " Corollary", "probability": 0.9715169270833334}, {"start": 2794.23, "end": 2794.73, "word": " طبعاً", "probability": 0.87431640625}, {"start": 2794.73, "end": 2795.55, "word": " هتنسحب", "probability": 0.9091796875}, {"start": 2795.55, "end": 2795.77, "word": " على", "probability": 0.79833984375}, {"start": 2795.77, "end": 2796.11, "word": " إيش", "probability": 0.655029296875}, {"start": 2796.11, "end": 2796.23, "word": " يا", "probability": 0.95849609375}, {"start": 2796.23, "end": 2797.15, "word": " جماعة؟", "probability": 0.8662109375}, {"start": 2797.15, "end": 2797.99, "word": " هتنسحب", "probability": 0.9728190104166666}, {"start": 2797.99, "end": 2798.31, "word": " زي", "probability": 0.974853515625}, {"start": 2798.31, "end": 2798.45, "word": " ما", "probability": 0.98779296875}, {"start": 2798.45, "end": 2798.69, "word": " هو", "probability": 0.99658203125}, {"start": 2798.69, "end": 2799.15, "word": " المنهج", "probability": 0.9552001953125}, {"start": 2799.15, "end": 2799.31, "word": " اللي", "probability": 0.969970703125}, {"start": 2799.31, "end": 2799.77, "word": " بنعمله", "probability": 0.9578450520833334}, {"start": 2799.77, "end": 2800.11, "word": " إحنا", "probability": 0.7823079427083334}, {"start": 2800.11, "end": 2800.97, "word": " بناخد", "probability": 0.9039713541666666}, {"start": 2800.97, "end": 2801.11, "word": " ال", "probability": 0.9052734375}, {"start": 2801.11, "end": 2801.33, "word": " test", "probability": 0.529296875}, {"start": 2801.33, "end": 2801.49, "word": " و", "probability": 0.87060546875}, {"start": 2801.49, "end": 2801.89, "word": " بناخد", "probability": 0.9246419270833334}, {"start": 2801.89, "end": 2802.05, "word": " ال", "probability": 0.7939453125}, {"start": 2802.05, "end": 2802.29, "word": " limit", "probability": 0.93310546875}, {"start": 2802.29, "end": 2802.95, "word": " تبعه", "probability": 0.9378662109375}, {"start": 2802.95, "end": 2803.33, "word": " أو", "probability": 0.9306640625}, {"start": 2803.33, "end": 2803.55, "word": " limit", "probability": 0.8896484375}, {"start": 2803.55, "end": 2803.87, "word": " test", "probability": 0.95556640625}, {"start": 2803.87, "end": 2804.29, "word": " تبعه", "probability": 0.98095703125}, {"start": 2804.29, "end": 2804.91, "word": " وهنا", "probability": 0.762939453125}, {"start": 2804.91, "end": 2805.53, "word": " ال", "probability": 0.8759765625}, {"start": 2805.53, "end": 2805.81, "word": " limit", "probability": 0.921875}, {"start": 2805.81, "end": 2806.15, "word": " test", "probability": 0.96044921875}, {"start": 2806.15, "end": 2806.39, "word": " تبع", "probability": 0.9475911458333334}, {"start": 2806.39, "end": 2806.53, "word": " ال", "probability": 0.98486328125}, {"start": 2806.53, "end": 2806.91, "word": " Reopts", "probability": 0.91357421875}, {"start": 2806.91, "end": 2807.35, "word": " Test", "probability": 0.810546875}, {"start": 2807.35, "end": 2808.31, "word": " نشوف", "probability": 0.9305013020833334}, {"start": 2808.31, "end": 2808.57, "word": " إيش", "probability": 0.9326171875}, {"start": 2808.57, "end": 2808.87, "word": " اللي", "probability": 0.957275390625}, {"start": 2808.87, "end": 2809.55, "word": " بيعطينا", "probability": 0.88125}, {"start": 2809.55, "end": 2809.99, "word": " ياه", "probability": 0.6436767578125}, {"start": 2809.99, "end": 2810.13, "word": " و", "probability": 0.74365234375}, {"start": 2810.13, "end": 2810.55, "word": " عادة", "probability": 0.96337890625}, {"start": 2810.55, "end": 2810.75, "word": " اللي", "probability": 0.964599609375}, {"start": 2810.75, "end": 2810.89, "word": " هي", "probability": 0.91796875}, {"start": 2810.89, "end": 2810.99, "word": " ال", "probability": 0.6513671875}, {"start": 2810.99, "end": 2811.23, "word": " limits", "probability": 0.9677734375}, {"start": 2811.23, "end": 2811.63, "word": " بتكون", "probability": 0.920166015625}, {"start": 2811.63, "end": 2811.77, "word": " في", "probability": 0.89892578125}, {"start": 2811.77, "end": 2812.13, "word": " الغالب", "probability": 0.9879150390625}, {"start": 2812.13, "end": 2812.63, "word": " أسهل", "probability": 0.9912109375}, {"start": 2812.63, "end": 2813.31, "word": " أو", "probability": 0.888671875}, {"start": 2813.31, "end": 2813.65, "word": " أسهل", "probability": 0.991943359375}, {"start": 2813.65, "end": 2813.73, "word": " في", "probability": 0.97265625}, {"start": 2813.73, "end": 2814.83, "word": " التعامل", "probability": 0.9962158203125}, {"start": 2814.83, "end": 2815.33, "word": " من", "probability": 0.96875}, {"start": 2815.33, "end": 2815.59, "word": " اللي", "probability": 0.9716796875}, {"start": 2815.59, "end": 2815.87, "word": " هو", "probability": 0.986328125}, {"start": 2815.87, "end": 2816.15, "word": " ال", "probability": 0.97265625}, {"start": 2816.15, "end": 2816.47, "word": " comparison", "probability": 0.73046875}, {"start": 2816.47, "end": 2816.99, "word": " العادي", "probability": 0.8621419270833334}], "temperature": 1.0}, {"id": 127, "seek": 283810, "start": 2818.38, "end": 2838.1, "text": "Latex بيساوي XN بيه sequence of non-zero real numbers يعني إيش مالها sequence of non-zero real numbers ماشي مش .. مش .. مش صفار يعني عشان هيك أصلا فوق احنا لما ناخدنا strictly أكبر من C لإنه هنا .. هنا .. هنا يعني مزام sequence of non-zero", "tokens": [43, 473, 87, 4724, 1829, 3794, 995, 45865, 1783, 45, 4724, 1829, 3224, 8310, 295, 2107, 12, 32226, 957, 3547, 37495, 22653, 11933, 1829, 8592, 3714, 6027, 11296, 8310, 295, 2107, 12, 32226, 957, 3547, 3714, 33599, 1829, 37893, 4386, 37893, 4386, 37893, 20328, 5172, 9640, 37495, 22653, 6225, 8592, 7649, 39896, 4117, 5551, 9381, 15040, 6156, 30543, 1975, 5016, 8315, 5296, 15042, 8717, 47283, 3215, 8315, 20792, 5551, 4117, 26890, 9154, 383, 5296, 28814, 1863, 3224, 34105, 4386, 34105, 4386, 34105, 37495, 22653, 3714, 11622, 10943, 8310, 295, 2107, 12, 32226], "avg_logprob": -0.2820900537634409, "compression_ratio": 1.6852791878172588, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2818.38, "end": 2818.92, "word": "Latex", "probability": 0.6473795572916666}, {"start": 2818.92, "end": 2819.26, "word": " بيساوي", "probability": 0.569537353515625}, {"start": 2819.26, "end": 2819.7, "word": " XN", "probability": 0.3916015625}, {"start": 2819.7, "end": 2819.96, "word": " بيه", "probability": 0.7967122395833334}, {"start": 2819.96, "end": 2820.4, "word": " sequence", "probability": 0.31396484375}, {"start": 2820.4, "end": 2821.18, "word": " of", "probability": 0.94970703125}, {"start": 2821.18, "end": 2821.54, "word": " non", "probability": 0.89013671875}, {"start": 2821.54, "end": 2822.0, "word": "-zero", "probability": 0.68603515625}, {"start": 2822.0, "end": 2822.3, "word": " real", "probability": 0.873046875}, {"start": 2822.3, "end": 2822.94, "word": " numbers", "probability": 0.81787109375}, {"start": 2822.94, "end": 2823.44, "word": " يعني", "probability": 0.809814453125}, {"start": 2823.44, "end": 2823.68, "word": " إيش", "probability": 0.5745442708333334}, {"start": 2823.68, "end": 2824.14, "word": " مالها", "probability": 0.7923177083333334}, {"start": 2824.14, "end": 2824.96, "word": " sequence", "probability": 0.1473388671875}, {"start": 2824.96, "end": 2825.34, "word": " of", "probability": 0.9560546875}, {"start": 2825.34, "end": 2825.56, "word": " non", "probability": 0.90771484375}, {"start": 2825.56, "end": 2825.8, "word": "-zero", "probability": 0.89306640625}, {"start": 2825.8, "end": 2826.08, "word": " real", "probability": 0.83203125}, {"start": 2826.08, "end": 2826.6, "word": " numbers", "probability": 0.84814453125}, {"start": 2826.6, "end": 2827.02, "word": " ماشي", "probability": 0.77783203125}, {"start": 2827.02, "end": 2827.32, "word": " مش", "probability": 0.966796875}, {"start": 2827.32, "end": 2827.32, "word": " ..", "probability": 0.560546875}, {"start": 2827.32, "end": 2827.64, "word": " مش", "probability": 0.896484375}, {"start": 2827.64, "end": 2827.64, "word": " ..", "probability": 0.92333984375}, {"start": 2827.64, "end": 2827.84, "word": " مش", "probability": 0.9814453125}, {"start": 2827.84, "end": 2828.32, "word": " صفار", "probability": 0.8072102864583334}, {"start": 2828.32, "end": 2828.96, "word": " يعني", "probability": 0.872802734375}, {"start": 2828.96, "end": 2829.38, "word": " عشان", "probability": 0.9671223958333334}, {"start": 2829.38, "end": 2829.58, "word": " هيك", "probability": 0.952392578125}, {"start": 2829.58, "end": 2829.88, "word": " أصلا", "probability": 0.9295247395833334}, {"start": 2829.88, "end": 2830.28, "word": " فوق", "probability": 0.8671875}, {"start": 2830.28, "end": 2830.5, "word": " احنا", "probability": 0.8264973958333334}, {"start": 2830.5, "end": 2830.7, "word": " لما", "probability": 0.956787109375}, {"start": 2830.7, "end": 2831.14, "word": " ناخدنا", "probability": 0.72967529296875}, {"start": 2831.14, "end": 2831.58, "word": " strictly", "probability": 0.9384765625}, {"start": 2831.58, "end": 2831.96, "word": " أكبر", "probability": 0.958984375}, {"start": 2831.96, "end": 2832.16, "word": " من", "probability": 0.9892578125}, {"start": 2832.16, "end": 2832.46, "word": " C", "probability": 0.8974609375}, {"start": 2832.46, "end": 2833.76, "word": " لإنه", "probability": 0.89208984375}, {"start": 2833.76, "end": 2834.16, "word": " هنا", "probability": 0.82470703125}, {"start": 2834.16, "end": 2834.28, "word": " ..", "probability": 0.64404296875}, {"start": 2834.28, "end": 2834.46, "word": " هنا", "probability": 0.9482421875}, {"start": 2834.46, "end": 2834.54, "word": " ..", "probability": 0.96923828125}, {"start": 2834.54, "end": 2835.2, "word": " هنا", "probability": 0.96142578125}, {"start": 2835.2, "end": 2835.66, "word": " يعني", "probability": 0.7059326171875}, {"start": 2835.66, "end": 2836.04, "word": " مزام", "probability": 0.511962890625}, {"start": 2836.04, "end": 2836.86, "word": " sequence", "probability": 0.91162109375}, {"start": 2836.86, "end": 2837.3, "word": " of", "probability": 0.98291015625}, {"start": 2837.3, "end": 2837.62, "word": " non", "probability": 0.97900390625}, {"start": 2837.62, "end": 2838.1, "word": "-zero", "probability": 0.9111328125}], "temperature": 1.0}, {"id": 128, "seek": 286841, "start": 2839.45, "end": 2868.41, "text": "اللي هو numbers عشان لو حد سأل عن اللي فوق هذه كيف أكبر من C اللي هو strictly هذوله non-zero لو كان أول واحد non-zero إذا قيمته strictly أكبر من 0 يعني له قيمة محددة والبعده بكون أكبر منه إذا أكيد في عندي بديت من رقم C اللي هو اللي هو ال term الأول اللي هو ال XK مثلا وبعده بصير كل اللي بعده أكبر منه اللي هو أكبر strictly من C وزي ما وصلنا", "tokens": [6027, 20292, 31439, 3547, 6225, 8592, 7649, 45164, 11331, 3215, 8608, 10721, 1211, 18871, 13672, 1829, 6156, 30543, 29538, 9122, 33911, 5551, 4117, 26890, 9154, 383, 13672, 1829, 31439, 20792, 8032, 8848, 12610, 3224, 2107, 12, 32226, 45164, 25961, 5551, 12610, 36764, 24401, 2107, 12, 32226, 11933, 15730, 12174, 32640, 47395, 20792, 5551, 4117, 26890, 9154, 1958, 37495, 22653, 46740, 12174, 32640, 3660, 3714, 24401, 41891, 4032, 6027, 3555, 22488, 3224, 4724, 30544, 5551, 4117, 26890, 9154, 3224, 11933, 15730, 5551, 4117, 25708, 8978, 18871, 16254, 4724, 16254, 2655, 9154, 12602, 4587, 2304, 383, 13672, 1829, 31439, 13672, 1829, 31439, 2423, 1433, 16247, 12610, 13672, 1829, 31439, 2423, 1783, 42, 50113, 15040, 4032, 3555, 22488, 3224, 4724, 9381, 13546, 28242, 13672, 1829, 39182, 3224, 5551, 4117, 26890, 9154, 3224, 13672, 1829, 31439, 5551, 4117, 26890, 20792, 9154, 383, 4032, 11622, 1829, 19446, 4032, 36520, 8315], "avg_logprob": -0.15839041453110028, "compression_ratio": 2.048507462686567, "no_speech_prob": 1.3232231140136719e-05, "words": [{"start": 2839.45, "end": 2839.87, "word": "اللي", "probability": 0.714599609375}, {"start": 2839.87, "end": 2840.13, "word": " هو", "probability": 0.97802734375}, {"start": 2840.13, "end": 2840.77, "word": " numbers", "probability": 0.321533203125}, {"start": 2840.77, "end": 2841.17, "word": " عشان", "probability": 0.96044921875}, {"start": 2841.17, "end": 2841.35, "word": " لو", "probability": 0.990234375}, {"start": 2841.35, "end": 2841.67, "word": " حد", "probability": 0.977783203125}, {"start": 2841.67, "end": 2842.13, "word": " سأل", "probability": 0.96484375}, {"start": 2842.13, "end": 2842.45, "word": " عن", "probability": 0.99560546875}, {"start": 2842.45, "end": 2843.71, "word": " اللي", "probability": 0.84521484375}, {"start": 2843.71, "end": 2844.11, "word": " فوق", "probability": 0.99169921875}, {"start": 2844.11, "end": 2844.53, "word": " هذه", "probability": 0.2880859375}, {"start": 2844.53, "end": 2844.83, "word": " كيف", "probability": 0.94677734375}, {"start": 2844.83, "end": 2845.25, "word": " أكبر", "probability": 0.9571940104166666}, {"start": 2845.25, "end": 2845.45, "word": " من", "probability": 0.99365234375}, {"start": 2845.45, "end": 2845.75, "word": " C", "probability": 0.61083984375}, {"start": 2845.75, "end": 2846.55, "word": " اللي", "probability": 0.927734375}, {"start": 2846.55, "end": 2846.69, "word": " هو", "probability": 0.95947265625}, {"start": 2846.69, "end": 2847.25, "word": " strictly", "probability": 0.83642578125}, {"start": 2847.25, "end": 2848.01, "word": " هذوله", "probability": 0.76806640625}, {"start": 2848.01, "end": 2848.17, "word": " non", "probability": 0.72216796875}, {"start": 2848.17, "end": 2848.47, "word": "-zero", "probability": 0.692626953125}, {"start": 2848.47, "end": 2848.67, "word": " لو", "probability": 0.74658203125}, {"start": 2848.67, "end": 2848.91, "word": " كان", "probability": 0.98974609375}, {"start": 2848.91, "end": 2849.15, "word": " أول", "probability": 0.922119140625}, {"start": 2849.15, "end": 2849.47, "word": " واحد", "probability": 0.993408203125}, {"start": 2849.47, "end": 2849.73, "word": " non", "probability": 0.9560546875}, {"start": 2849.73, "end": 2850.15, "word": "-zero", "probability": 0.884521484375}, {"start": 2850.15, "end": 2850.77, "word": " إذا", "probability": 0.87255859375}, {"start": 2850.77, "end": 2851.19, "word": " قيمته", "probability": 0.9326171875}, {"start": 2851.19, "end": 2851.59, "word": " strictly", "probability": 0.9560546875}, {"start": 2851.59, "end": 2851.97, "word": " أكبر", "probability": 0.9651692708333334}, {"start": 2851.97, "end": 2852.13, "word": " من", "probability": 0.99267578125}, {"start": 2852.13, "end": 2852.27, "word": " 0", "probability": 0.5068359375}, {"start": 2852.27, "end": 2852.51, "word": " يعني", "probability": 0.933837890625}, {"start": 2852.51, "end": 2852.67, "word": " له", "probability": 0.51904296875}, {"start": 2852.67, "end": 2852.95, "word": " قيمة", "probability": 0.9679361979166666}, {"start": 2852.95, "end": 2853.31, "word": " محددة", "probability": 0.9899088541666666}, {"start": 2853.31, "end": 2853.99, "word": " والبعده", "probability": 0.77236328125}, {"start": 2853.99, "end": 2854.55, "word": " بكون", "probability": 0.6910400390625}, {"start": 2854.55, "end": 2854.95, "word": " أكبر", "probability": 0.9763997395833334}, {"start": 2854.95, "end": 2855.23, "word": " منه", "probability": 0.9931640625}, {"start": 2855.23, "end": 2855.45, "word": " إذا", "probability": 0.89501953125}, {"start": 2855.45, "end": 2855.95, "word": " أكيد", "probability": 0.94091796875}, {"start": 2855.95, "end": 2856.15, "word": " في", "probability": 0.6474609375}, {"start": 2856.15, "end": 2856.59, "word": " عندي", "probability": 0.6773681640625}, {"start": 2856.59, "end": 2857.29, "word": " بديت", "probability": 0.6519368489583334}, {"start": 2857.29, "end": 2857.41, "word": " من", "probability": 0.99169921875}, {"start": 2857.41, "end": 2857.85, "word": " رقم", "probability": 0.9822591145833334}, {"start": 2857.85, "end": 2858.13, "word": " C", "probability": 0.96533203125}, {"start": 2858.13, "end": 2858.31, "word": " اللي", "probability": 0.7607421875}, {"start": 2858.31, "end": 2858.75, "word": " هو", "probability": 0.92236328125}, {"start": 2858.75, "end": 2859.67, "word": " اللي", "probability": 0.6995849609375}, {"start": 2859.67, "end": 2859.83, "word": " هو", "probability": 0.50830078125}, {"start": 2859.83, "end": 2859.97, "word": " ال", "probability": 0.90869140625}, {"start": 2859.97, "end": 2860.17, "word": " term", "probability": 0.7353515625}, {"start": 2860.17, "end": 2860.61, "word": " الأول", "probability": 0.9775390625}, {"start": 2860.61, "end": 2860.81, "word": " اللي", "probability": 0.8466796875}, {"start": 2860.81, "end": 2860.95, "word": " هو", "probability": 0.98193359375}, {"start": 2860.95, "end": 2861.07, "word": " ال", "probability": 0.6884765625}, {"start": 2861.07, "end": 2861.49, "word": " XK", "probability": 0.767333984375}, {"start": 2861.49, "end": 2861.93, "word": " مثلا", "probability": 0.95458984375}, {"start": 2861.93, "end": 2863.01, "word": " وبعده", "probability": 0.8743896484375}, {"start": 2863.01, "end": 2863.51, "word": " بصير", "probability": 0.8904622395833334}, {"start": 2863.51, "end": 2863.95, "word": " كل", "probability": 0.34814453125}, {"start": 2863.95, "end": 2864.13, "word": " اللي", "probability": 0.98193359375}, {"start": 2864.13, "end": 2864.41, "word": " بعده", "probability": 0.912109375}, {"start": 2864.41, "end": 2864.69, "word": " أكبر", "probability": 0.9796549479166666}, {"start": 2864.69, "end": 2865.11, "word": " منه", "probability": 0.993896484375}, {"start": 2865.11, "end": 2865.61, "word": " اللي", "probability": 0.991455078125}, {"start": 2865.61, "end": 2865.73, "word": " هو", "probability": 0.99072265625}, {"start": 2865.73, "end": 2865.99, "word": " أكبر", "probability": 0.9794921875}, {"start": 2865.99, "end": 2866.37, "word": " strictly", "probability": 0.9501953125}, {"start": 2866.37, "end": 2866.65, "word": " من", "probability": 0.99560546875}, {"start": 2866.65, "end": 2866.97, "word": " C", "probability": 0.97900390625}, {"start": 2866.97, "end": 2867.89, "word": " وزي", "probability": 0.81494140625}, {"start": 2867.89, "end": 2867.95, "word": " ما", "probability": 0.9716796875}, {"start": 2867.95, "end": 2868.41, "word": " وصلنا", "probability": 0.986328125}], "temperature": 1.0}, {"id": 129, "seek": 289745, "start": 2868.71, "end": 2897.45, "text": "اللي هو diversity إذا الأن let X بيساوي XN بيبقى sequence of non-zero real numbers and let A بيساوي limit N في واحد ناقص XN زائد واحد على XN whenever this limit exists then the series summation XN is absolutely convergent when A أكبر من واحد and this absolutely is not absolutely convergent في A أصغر من واحد وذا كان let A بيساوي واحد فعلا طيب يعني إيش بيقوليه؟ بيقوليه تعالي حسب", "tokens": [6027, 20292, 31439, 8811, 11933, 15730, 16247, 1863, 718, 1783, 4724, 1829, 3794, 995, 45865, 1783, 45, 4724, 1829, 3555, 4587, 7578, 8310, 295, 2107, 12, 32226, 957, 3547, 293, 718, 316, 4724, 1829, 3794, 995, 45865, 4948, 426, 8978, 36764, 24401, 8717, 995, 4587, 9381, 1783, 45, 30767, 16373, 3215, 36764, 24401, 15844, 1783, 45, 5699, 341, 4948, 8198, 550, 264, 2638, 28811, 1783, 45, 307, 3122, 9652, 6930, 562, 316, 5551, 4117, 26890, 9154, 36764, 24401, 293, 341, 3122, 307, 406, 3122, 9652, 6930, 8978, 316, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 4032, 15730, 25961, 718, 316, 4724, 1829, 3794, 995, 45865, 36764, 24401, 6156, 3615, 15040, 23032, 1829, 3555, 37495, 22653, 11933, 1829, 8592, 4724, 1829, 39648, 1829, 3224, 22807, 4724, 1829, 39648, 1829, 3224, 37279, 6027, 1829, 11331, 35457], "avg_logprob": -0.2553240736325582, "compression_ratio": 1.7060810810810811, "no_speech_prob": 7.867813110351562e-06, "words": [{"start": 2868.71, "end": 2869.21, "word": "اللي", "probability": 0.672119140625}, {"start": 2869.21, "end": 2869.55, "word": " هو", "probability": 0.91455078125}, {"start": 2869.55, "end": 2870.21, "word": " diversity", "probability": 0.3037109375}, {"start": 2870.21, "end": 2871.53, "word": " إذا", "probability": 0.68359375}, {"start": 2871.53, "end": 2871.91, "word": " الأن", "probability": 0.5672607421875}, {"start": 2871.91, "end": 2872.11, "word": " let", "probability": 0.7431640625}, {"start": 2872.11, "end": 2872.31, "word": " X", "probability": 0.62255859375}, {"start": 2872.31, "end": 2872.61, "word": " بيساوي", "probability": 0.5430908203125}, {"start": 2872.61, "end": 2872.97, "word": " XN", "probability": 0.58642578125}, {"start": 2872.97, "end": 2873.19, "word": " بيبقى", "probability": 0.74833984375}, {"start": 2873.19, "end": 2873.51, "word": " sequence", "probability": 0.69677734375}, {"start": 2873.51, "end": 2873.81, "word": " of", "probability": 0.92431640625}, {"start": 2873.81, "end": 2874.05, "word": " non", "probability": 0.87939453125}, {"start": 2874.05, "end": 2874.41, "word": "-zero", "probability": 0.700927734375}, {"start": 2874.41, "end": 2874.71, "word": " real", "probability": 0.8984375}, {"start": 2874.71, "end": 2875.31, "word": " numbers", "probability": 0.8642578125}, {"start": 2875.31, "end": 2876.67, "word": " and", "probability": 0.69873046875}, {"start": 2876.67, "end": 2876.91, "word": " let", "probability": 0.94580078125}, {"start": 2876.91, "end": 2877.05, "word": " A", "probability": 0.7890625}, {"start": 2877.05, "end": 2877.59, "word": " بيساوي", "probability": 0.94541015625}, {"start": 2877.59, "end": 2878.13, "word": " limit", "probability": 0.95849609375}, {"start": 2878.13, "end": 2879.49, "word": " N", "probability": 0.54052734375}, {"start": 2879.49, "end": 2879.71, "word": " في", "probability": 0.86767578125}, {"start": 2879.71, "end": 2879.99, "word": " واحد", "probability": 0.8115234375}, {"start": 2879.99, "end": 2880.35, "word": " ناقص", "probability": 0.8447265625}, {"start": 2880.35, "end": 2880.69, "word": " XN", "probability": 0.893798828125}, {"start": 2880.69, "end": 2880.93, "word": " زائد", "probability": 0.7131754557291666}, {"start": 2880.93, "end": 2881.11, "word": " واحد", "probability": 0.97021484375}, {"start": 2881.11, "end": 2881.23, "word": " على", "probability": 0.310546875}, {"start": 2881.23, "end": 2881.83, "word": " XN", "probability": 0.8916015625}, {"start": 2881.83, "end": 2882.83, "word": " whenever", "probability": 0.583984375}, {"start": 2882.83, "end": 2883.39, "word": " this", "probability": 0.953125}, {"start": 2883.39, "end": 2883.71, "word": " limit", "probability": 0.966796875}, {"start": 2883.71, "end": 2884.13, "word": " exists", "probability": 0.5615234375}, {"start": 2884.13, "end": 2884.43, "word": " then", "probability": 0.70751953125}, {"start": 2884.43, "end": 2884.61, "word": " the", "probability": 0.89453125}, {"start": 2884.61, "end": 2884.85, "word": " series", "probability": 0.84716796875}, {"start": 2884.85, "end": 2885.21, "word": " summation", "probability": 0.79345703125}, {"start": 2885.21, "end": 2885.59, "word": " XN", "probability": 0.927001953125}, {"start": 2885.59, "end": 2885.75, "word": " is", "probability": 0.966796875}, {"start": 2885.75, "end": 2886.23, "word": " absolutely", "probability": 0.77490234375}, {"start": 2886.23, "end": 2886.97, "word": " convergent", "probability": 0.97265625}, {"start": 2886.97, "end": 2887.59, "word": " when", "probability": 0.411865234375}, {"start": 2887.59, "end": 2887.75, "word": " A", "probability": 0.919921875}, {"start": 2887.75, "end": 2888.03, "word": " أكبر", "probability": 0.9708658854166666}, {"start": 2888.03, "end": 2888.13, "word": " من", "probability": 0.79345703125}, {"start": 2888.13, "end": 2888.33, "word": " واحد", "probability": 0.98046875}, {"start": 2888.33, "end": 2888.59, "word": " and", "probability": 0.8623046875}, {"start": 2888.59, "end": 2888.77, "word": " this", "probability": 0.52587890625}, {"start": 2888.77, "end": 2889.39, "word": " absolutely", "probability": 0.6748046875}, {"start": 2889.39, "end": 2890.35, "word": " is", "probability": 0.9111328125}, {"start": 2890.35, "end": 2890.55, "word": " not", "probability": 0.94287109375}, {"start": 2890.55, "end": 2890.93, "word": " absolutely", "probability": 0.712890625}, {"start": 2890.93, "end": 2891.49, "word": " convergent", "probability": 0.96923828125}, {"start": 2891.49, "end": 2891.77, "word": " في", "probability": 0.82275390625}, {"start": 2891.77, "end": 2891.95, "word": " A", "probability": 0.50341796875}, {"start": 2891.95, "end": 2892.43, "word": " أصغر", "probability": 0.97802734375}, {"start": 2892.43, "end": 2892.51, "word": " من", "probability": 0.9833984375}, {"start": 2892.51, "end": 2892.77, "word": " واحد", "probability": 0.994384765625}, {"start": 2892.77, "end": 2893.01, "word": " وذا", "probability": 0.668212890625}, {"start": 2893.01, "end": 2893.23, "word": " كان", "probability": 0.9482421875}, {"start": 2893.23, "end": 2893.39, "word": " let", "probability": 0.325927734375}, {"start": 2893.39, "end": 2893.53, "word": " A", "probability": 0.9775390625}, {"start": 2893.53, "end": 2893.79, "word": " بيساوي", "probability": 0.97314453125}, {"start": 2893.79, "end": 2894.09, "word": " واحد", "probability": 0.994384765625}, {"start": 2894.09, "end": 2894.49, "word": " فعلا", "probability": 0.8260091145833334}, {"start": 2894.49, "end": 2895.17, "word": " طيب", "probability": 0.83203125}, {"start": 2895.17, "end": 2895.75, "word": " يعني", "probability": 0.865234375}, {"start": 2895.75, "end": 2895.93, "word": " إيش", "probability": 0.8331705729166666}, {"start": 2895.93, "end": 2896.35, "word": " بيقوليه؟", "probability": 0.6852213541666666}, {"start": 2896.35, "end": 2896.71, "word": " بيقوليه", "probability": 0.9158203125}, {"start": 2896.71, "end": 2897.05, "word": " تعالي", "probability": 0.8427734375}, {"start": 2897.05, "end": 2897.45, "word": " حسب", "probability": 0.849609375}], "temperature": 1.0}, {"id": 130, "seek": 291845, "start": 2898.37, "end": 2918.45, "text": "احسبلي اللي هو limit n في 1 ناقص xn زائد 1 على xn إذا لجيت ال limit as n goes to infinity لهذا المقدار و بيكسّلني أصلا إذا لجيت ال limit بساوي رقم a إذا كان اللي كده exist يعني و لجيته بساوي a بتيجي الآن للحكم إذا a بساوي 1 بتحكيش", "tokens": [39319, 35457, 20292, 13672, 1829, 31439, 4948, 297, 8978, 502, 8717, 995, 4587, 9381, 2031, 77, 30767, 16373, 3215, 502, 15844, 2031, 77, 11933, 15730, 5296, 7435, 36081, 2423, 4948, 382, 297, 1709, 281, 13202, 46740, 15730, 9673, 28543, 9640, 4032, 4724, 1829, 4117, 3794, 11703, 1211, 22653, 5551, 9381, 15040, 11933, 15730, 5296, 7435, 36081, 2423, 4948, 4724, 3794, 995, 45865, 12602, 4587, 2304, 257, 11933, 15730, 25961, 13672, 1829, 9122, 3215, 3224, 2514, 37495, 22653, 4032, 5296, 7435, 36081, 3224, 4724, 3794, 995, 45865, 257, 39894, 1829, 7435, 1829, 6024, 48506, 24976, 5016, 24793, 11933, 15730, 257, 4724, 3794, 995, 45865, 502, 39894, 5016, 4117, 1829, 8592], "avg_logprob": -0.20653409619222987, "compression_ratio": 1.7028301886792452, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 2898.3700000000003, "end": 2899.09, "word": "احسبلي", "probability": 0.5965169270833334}, {"start": 2899.09, "end": 2899.73, "word": " اللي", "probability": 0.80859375}, {"start": 2899.73, "end": 2899.91, "word": " هو", "probability": 0.9833984375}, {"start": 2899.91, "end": 2900.23, "word": " limit", "probability": 0.869140625}, {"start": 2900.23, "end": 2900.61, "word": " n", "probability": 0.41357421875}, {"start": 2900.61, "end": 2901.05, "word": " في", "probability": 0.8857421875}, {"start": 2901.05, "end": 2901.39, "word": " 1", "probability": 0.70849609375}, {"start": 2901.39, "end": 2901.87, "word": " ناقص", "probability": 0.69171142578125}, {"start": 2901.87, "end": 2902.21, "word": " xn", "probability": 0.753173828125}, {"start": 2902.21, "end": 2902.49, "word": " زائد", "probability": 0.7692057291666666}, {"start": 2902.49, "end": 2902.65, "word": " 1", "probability": 0.951171875}, {"start": 2902.65, "end": 2902.85, "word": " على", "probability": 0.7080078125}, {"start": 2902.85, "end": 2903.39, "word": " xn", "probability": 0.974365234375}, {"start": 2903.39, "end": 2904.13, "word": " إذا", "probability": 0.908447265625}, {"start": 2904.13, "end": 2904.53, "word": " لجيت", "probability": 0.7928059895833334}, {"start": 2904.53, "end": 2904.69, "word": " ال", "probability": 0.90673828125}, {"start": 2904.69, "end": 2904.97, "word": " limit", "probability": 0.84228515625}, {"start": 2904.97, "end": 2905.27, "word": " as", "probability": 0.9033203125}, {"start": 2905.27, "end": 2905.43, "word": " n", "probability": 0.9599609375}, {"start": 2905.43, "end": 2905.65, "word": " goes", "probability": 0.91162109375}, {"start": 2905.65, "end": 2905.75, "word": " to", "probability": 0.91259765625}, {"start": 2905.75, "end": 2906.05, "word": " infinity", "probability": 0.90771484375}, {"start": 2906.05, "end": 2906.49, "word": " لهذا", "probability": 0.948974609375}, {"start": 2906.49, "end": 2907.23, "word": " المقدار", "probability": 0.9521484375}, {"start": 2907.23, "end": 2907.37, "word": " و", "probability": 0.55517578125}, {"start": 2907.37, "end": 2907.97, "word": " بيكسّلني", "probability": 0.619873046875}, {"start": 2907.97, "end": 2908.37, "word": " أصلا", "probability": 0.8356119791666666}, {"start": 2908.37, "end": 2908.99, "word": " إذا", "probability": 0.879150390625}, {"start": 2908.99, "end": 2909.25, "word": " لجيت", "probability": 0.9921875}, {"start": 2909.25, "end": 2909.37, "word": " ال", "probability": 0.91748046875}, {"start": 2909.37, "end": 2909.69, "word": " limit", "probability": 0.98291015625}, {"start": 2909.69, "end": 2910.23, "word": " بساوي", "probability": 0.8175048828125}, {"start": 2910.23, "end": 2910.69, "word": " رقم", "probability": 0.9884440104166666}, {"start": 2910.69, "end": 2910.97, "word": " a", "probability": 0.3203125}, {"start": 2910.97, "end": 2911.23, "word": " إذا", "probability": 0.865478515625}, {"start": 2911.23, "end": 2911.39, "word": " كان", "probability": 0.85546875}, {"start": 2911.39, "end": 2912.09, "word": " اللي", "probability": 0.62158203125}, {"start": 2912.09, "end": 2912.35, "word": " كده", "probability": 0.677978515625}, {"start": 2912.35, "end": 2912.95, "word": " exist", "probability": 0.82470703125}, {"start": 2912.95, "end": 2913.35, "word": " يعني", "probability": 0.93212890625}, {"start": 2913.35, "end": 2913.83, "word": " و", "probability": 0.77001953125}, {"start": 2913.83, "end": 2914.27, "word": " لجيته", "probability": 0.96826171875}, {"start": 2914.27, "end": 2914.69, "word": " بساوي", "probability": 0.929443359375}, {"start": 2914.69, "end": 2914.89, "word": " a", "probability": 0.78662109375}, {"start": 2914.89, "end": 2915.35, "word": " بتيجي", "probability": 0.8848876953125}, {"start": 2915.35, "end": 2915.57, "word": " الآن", "probability": 0.7314453125}, {"start": 2915.57, "end": 2916.05, "word": " للحكم", "probability": 0.9500325520833334}, {"start": 2916.05, "end": 2916.81, "word": " إذا", "probability": 0.9609375}, {"start": 2916.81, "end": 2916.99, "word": " a", "probability": 0.77880859375}, {"start": 2916.99, "end": 2917.45, "word": " بساوي", "probability": 0.9488525390625}, {"start": 2917.45, "end": 2917.69, "word": " 1", "probability": 0.91650390625}, {"start": 2917.69, "end": 2918.45, "word": " بتحكيش", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 131, "seek": 294765, "start": 2919.05, "end": 2947.65, "text": "لكن إذا الـ A أكبر من واحد على تقول بتقول converge وإذا كانت الـ A أصغر من واحد بتقول ايه اشماله is not absolutely convergent حتى مش converge absolutely convergent في الأولى لما تكون A أكبر من واحد was not absolutely convergent for A اللي هي أصغر من واحد نيجي الآن لاللي هو نفترض أنه ال limit هذه exist ونصل ل اللي بدناها", "tokens": [1211, 19452, 11933, 15730, 2423, 39184, 316, 5551, 4117, 26890, 9154, 36764, 24401, 15844, 6055, 39648, 39894, 39648, 41881, 4032, 28814, 15730, 25961, 2655, 2423, 39184, 316, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 39894, 39648, 1975, 1829, 3224, 1975, 8592, 2304, 6027, 3224, 307, 406, 3122, 9652, 6930, 11331, 49975, 37893, 41881, 3122, 9652, 6930, 8978, 16247, 12610, 7578, 5296, 15042, 6055, 30544, 316, 5551, 4117, 26890, 9154, 36764, 24401, 390, 406, 3122, 9652, 6930, 337, 316, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 8717, 1829, 7435, 1829, 6024, 48506, 5296, 6027, 20292, 31439, 8717, 5172, 2655, 43042, 14739, 3224, 2423, 4948, 29538, 2514, 4032, 1863, 36520, 5296, 13672, 1829, 47525, 8315, 11296], "avg_logprob": -0.21226164635460257, "compression_ratio": 1.9588477366255144, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2919.05, "end": 2919.45, "word": "لكن", "probability": 0.890869140625}, {"start": 2919.45, "end": 2919.63, "word": " إذا", "probability": 0.8916015625}, {"start": 2919.63, "end": 2919.85, "word": " الـ", "probability": 0.7939453125}, {"start": 2919.85, "end": 2919.99, "word": " A", "probability": 0.381103515625}, {"start": 2919.99, "end": 2920.45, "word": " أكبر", "probability": 0.9694010416666666}, {"start": 2920.45, "end": 2920.63, "word": " من", "probability": 0.99072265625}, {"start": 2920.63, "end": 2921.21, "word": " واحد", "probability": 0.766357421875}, {"start": 2921.21, "end": 2921.93, "word": " على", "probability": 0.69677734375}, {"start": 2921.93, "end": 2922.21, "word": " تقول", "probability": 0.6497802734375}, {"start": 2922.21, "end": 2922.57, "word": " بتقول", "probability": 0.6937255859375}, {"start": 2922.57, "end": 2923.15, "word": " converge", "probability": 0.298583984375}, {"start": 2923.15, "end": 2923.49, "word": " وإذا", "probability": 0.8375651041666666}, {"start": 2923.49, "end": 2923.83, "word": " كانت", "probability": 0.9443359375}, {"start": 2923.83, "end": 2923.99, "word": " الـ", "probability": 0.773193359375}, {"start": 2923.99, "end": 2924.07, "word": " A", "probability": 0.83154296875}, {"start": 2924.07, "end": 2924.43, "word": " أصغر", "probability": 0.992919921875}, {"start": 2924.43, "end": 2924.57, "word": " من", "probability": 0.9951171875}, {"start": 2924.57, "end": 2924.99, "word": " واحد", "probability": 0.994873046875}, {"start": 2924.99, "end": 2925.69, "word": " بتقول", "probability": 0.947021484375}, {"start": 2925.69, "end": 2925.87, "word": " ايه", "probability": 0.7067057291666666}, {"start": 2925.87, "end": 2926.31, "word": " اشماله", "probability": 0.661669921875}, {"start": 2926.31, "end": 2926.51, "word": " is", "probability": 0.6357421875}, {"start": 2926.51, "end": 2926.87, "word": " not", "probability": 0.95361328125}, {"start": 2926.87, "end": 2927.57, "word": " absolutely", "probability": 0.7392578125}, {"start": 2927.57, "end": 2928.17, "word": " convergent", "probability": 0.96533203125}, {"start": 2928.17, "end": 2928.71, "word": " حتى", "probability": 0.914794921875}, {"start": 2928.71, "end": 2928.85, "word": " مش", "probability": 0.98828125}, {"start": 2928.85, "end": 2929.45, "word": " converge", "probability": 0.890625}, {"start": 2929.45, "end": 2930.11, "word": " absolutely", "probability": 0.283203125}, {"start": 2930.11, "end": 2930.99, "word": " convergent", "probability": 0.92236328125}, {"start": 2930.99, "end": 2931.49, "word": " في", "probability": 0.88134765625}, {"start": 2931.49, "end": 2932.03, "word": " الأولى", "probability": 0.9650065104166666}, {"start": 2932.03, "end": 2932.27, "word": " لما", "probability": 0.928466796875}, {"start": 2932.27, "end": 2932.57, "word": " تكون", "probability": 0.98388671875}, {"start": 2932.57, "end": 2932.73, "word": " A", "probability": 0.646484375}, {"start": 2932.73, "end": 2933.01, "word": " أكبر", "probability": 0.9724934895833334}, {"start": 2933.01, "end": 2933.15, "word": " من", "probability": 0.9951171875}, {"start": 2933.15, "end": 2933.53, "word": " واحد", "probability": 0.99658203125}, {"start": 2933.53, "end": 2934.15, "word": " was", "probability": 0.5712890625}, {"start": 2934.15, "end": 2934.65, "word": " not", "probability": 0.962890625}, {"start": 2934.65, "end": 2935.53, "word": " absolutely", "probability": 0.72998046875}, {"start": 2935.53, "end": 2936.23, "word": " convergent", "probability": 0.962646484375}, {"start": 2936.23, "end": 2936.51, "word": " for", "probability": 0.95361328125}, {"start": 2936.51, "end": 2936.91, "word": " A", "probability": 0.912109375}, {"start": 2936.91, "end": 2937.67, "word": " اللي", "probability": 0.89013671875}, {"start": 2937.67, "end": 2937.97, "word": " هي", "probability": 0.8857421875}, {"start": 2937.97, "end": 2938.75, "word": " أصغر", "probability": 0.98828125}, {"start": 2938.75, "end": 2938.97, "word": " من", "probability": 0.99755859375}, {"start": 2938.97, "end": 2939.37, "word": " واحد", "probability": 0.995849609375}, {"start": 2939.37, "end": 2940.11, "word": " نيجي", "probability": 0.89013671875}, {"start": 2940.11, "end": 2940.59, "word": " الآن", "probability": 0.7115478515625}, {"start": 2940.59, "end": 2941.33, "word": " لاللي", "probability": 0.5829264322916666}, {"start": 2941.33, "end": 2941.79, "word": " هو", "probability": 0.98583984375}, {"start": 2941.79, "end": 2943.23, "word": " نفترض", "probability": 0.9686279296875}, {"start": 2943.23, "end": 2944.15, "word": " أنه", "probability": 0.53173828125}, {"start": 2944.15, "end": 2944.29, "word": " ال", "probability": 0.9013671875}, {"start": 2944.29, "end": 2944.53, "word": " limit", "probability": 0.89111328125}, {"start": 2944.53, "end": 2944.83, "word": " هذه", "probability": 0.50732421875}, {"start": 2944.83, "end": 2945.37, "word": " exist", "probability": 0.87939453125}, {"start": 2945.37, "end": 2946.33, "word": " ونصل", "probability": 0.8416341145833334}, {"start": 2946.33, "end": 2946.81, "word": " ل", "probability": 0.84228515625}, {"start": 2946.81, "end": 2947.11, "word": " اللي", "probability": 0.6171875}, {"start": 2947.11, "end": 2947.65, "word": " بدناها", "probability": 0.806640625}], "temperature": 1.0}, {"id": 132, "seek": 296580, "start": 2948.14, "end": 2965.8, "text": "الان هذه الفكرة عملناها قبل هيك في ال proof of Corolla 926 الان بدنا نفترض suppose that limit 1100-Xn زي 1Xn سوى ايه أكبر من مين من واحد الان suppose that", "tokens": [6027, 7649, 29538, 27188, 4117, 25720, 6225, 42213, 8315, 11296, 12174, 36150, 39896, 4117, 8978, 2423, 8177, 295, 3925, 27160, 1722, 10880, 2423, 7649, 47525, 8315, 8717, 5172, 2655, 43042, 1003, 78, 405, 300, 4948, 2975, 628, 12, 55, 77, 30767, 1829, 502, 55, 77, 8608, 2407, 7578, 1975, 1829, 3224, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 36764, 24401, 2423, 7649, 7297, 300], "avg_logprob": -0.3663461538461538, "compression_ratio": 1.3099415204678362, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2948.14, "end": 2948.58, "word": "الان", "probability": 0.7333984375}, {"start": 2948.58, "end": 2949.54, "word": " هذه", "probability": 0.66357421875}, {"start": 2949.54, "end": 2949.9, "word": " الفكرة", "probability": 0.98779296875}, {"start": 2949.9, "end": 2950.44, "word": " عملناها", "probability": 0.980712890625}, {"start": 2950.44, "end": 2950.62, "word": " قبل", "probability": 0.74853515625}, {"start": 2950.62, "end": 2951.18, "word": " هيك", "probability": 0.9326171875}, {"start": 2951.18, "end": 2951.64, "word": " في", "probability": 0.7568359375}, {"start": 2951.64, "end": 2951.86, "word": " ال", "probability": 0.8505859375}, {"start": 2951.86, "end": 2952.3, "word": " proof", "probability": 0.70556640625}, {"start": 2952.3, "end": 2952.5, "word": " of", "probability": 0.798828125}, {"start": 2952.5, "end": 2952.82, "word": " Corolla", "probability": 0.306396484375}, {"start": 2952.82, "end": 2953.5, "word": " 926", "probability": 0.811279296875}, {"start": 2953.5, "end": 2954.78, "word": " الان", "probability": 0.7005615234375}, {"start": 2954.78, "end": 2955.04, "word": " بدنا", "probability": 0.868896484375}, {"start": 2955.04, "end": 2955.4, "word": " نفترض", "probability": 0.993408203125}, {"start": 2955.4, "end": 2955.94, "word": " suppose", "probability": 0.6150309244791666}, {"start": 2955.94, "end": 2956.14, "word": " that", "probability": 0.87451171875}, {"start": 2956.14, "end": 2956.44, "word": " limit", "probability": 0.89306640625}, {"start": 2956.44, "end": 2957.16, "word": " 1100", "probability": 0.54150390625}, {"start": 2957.16, "end": 2957.72, "word": "-Xn", "probability": 0.2633463541666667}, {"start": 2957.72, "end": 2957.88, "word": " زي", "probability": 0.338623046875}, {"start": 2957.88, "end": 2958.5, "word": " 1Xn", "probability": 0.7145182291666666}, {"start": 2958.5, "end": 2958.92, "word": " سوى", "probability": 0.482177734375}, {"start": 2958.92, "end": 2959.46, "word": " ايه", "probability": 0.8369140625}, {"start": 2959.46, "end": 2959.92, "word": " أكبر", "probability": 0.787109375}, {"start": 2959.92, "end": 2960.16, "word": " من", "probability": 0.98779296875}, {"start": 2960.16, "end": 2960.56, "word": " مين", "probability": 0.627685546875}, {"start": 2960.56, "end": 2961.04, "word": " من", "probability": 0.7607421875}, {"start": 2961.04, "end": 2961.44, "word": " واحد", "probability": 0.9111328125}, {"start": 2961.44, "end": 2963.36, "word": " الان", "probability": 0.86767578125}, {"start": 2963.36, "end": 2965.8, "word": " suppose", "probability": 0.8583984375}, {"start": 2965.8, "end": 2965.8, "word": " that", "probability": 0.9453125}], "temperature": 1.0}, {"id": 133, "seek": 299692, "start": 2973.4, "end": 2996.92, "text": "limit n في 1 ناقص xn زي 1 على xn بساوة a أكبر من 1 مدام ال limit هذا exist إذا لكل y أكبر من 0 دير exist اللي هو k such that هذا المقدر ناقص a أصغر من y for every n أكبر ساوة k اللي يعني ال epsilon اللي بدأ اختارها بدأ تخدمني زي ما عملنا قبل هيك في ال proof تبع 109 اللي هو 6", "tokens": [4197, 270, 297, 8978, 502, 8717, 995, 4587, 9381, 2031, 77, 30767, 1829, 502, 15844, 2031, 77, 4724, 3794, 995, 2407, 3660, 257, 5551, 4117, 26890, 9154, 502, 3714, 3215, 10943, 2423, 4948, 23758, 2514, 11933, 15730, 5296, 28820, 288, 5551, 4117, 26890, 9154, 1958, 11778, 13546, 2514, 13672, 1829, 31439, 350, 1270, 300, 23758, 9673, 28543, 2288, 8717, 995, 4587, 9381, 257, 5551, 9381, 17082, 2288, 9154, 288, 337, 633, 297, 5551, 4117, 26890, 8608, 995, 2407, 3660, 350, 13672, 1829, 37495, 22653, 2423, 17889, 13672, 1829, 47525, 10721, 1975, 46456, 9640, 11296, 47525, 10721, 6055, 9778, 40448, 22653, 30767, 1829, 19446, 6225, 42213, 8315, 12174, 36150, 39896, 4117, 8978, 2423, 8177, 6055, 3555, 3615, 1266, 24, 13672, 1829, 31439, 1386], "avg_logprob": -0.26194106611779067, "compression_ratio": 1.6733870967741935, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 2973.4, "end": 2973.96, "word": "limit", "probability": 0.6063232421875}, {"start": 2973.96, "end": 2974.52, "word": " n", "probability": 0.05877685546875}, {"start": 2974.52, "end": 2974.7, "word": " في", "probability": 0.335693359375}, {"start": 2974.7, "end": 2974.9, "word": " 1", "probability": 0.8359375}, {"start": 2974.9, "end": 2975.28, "word": " ناقص", "probability": 0.71649169921875}, {"start": 2975.28, "end": 2975.58, "word": " xn", "probability": 0.767822265625}, {"start": 2975.58, "end": 2975.78, "word": " زي", "probability": 0.785888671875}, {"start": 2975.78, "end": 2976.14, "word": " 1", "probability": 0.80029296875}, {"start": 2976.14, "end": 2976.54, "word": " على", "probability": 0.60107421875}, {"start": 2976.54, "end": 2977.98, "word": " xn", "probability": 0.666015625}, {"start": 2977.98, "end": 2978.48, "word": " بساوة", "probability": 0.517138671875}, {"start": 2978.48, "end": 2978.6, "word": " a", "probability": 0.7236328125}, {"start": 2978.6, "end": 2978.94, "word": " أكبر", "probability": 0.9469401041666666}, {"start": 2978.94, "end": 2979.16, "word": " من", "probability": 0.9716796875}, {"start": 2979.16, "end": 2980.04, "word": " 1", "probability": 0.66650390625}, {"start": 2980.04, "end": 2981.04, "word": " مدام", "probability": 0.641357421875}, {"start": 2981.04, "end": 2981.18, "word": " ال", "probability": 0.69140625}, {"start": 2981.18, "end": 2981.38, "word": " limit", "probability": 0.5283203125}, {"start": 2981.38, "end": 2981.7, "word": " هذا", "probability": 0.8544921875}, {"start": 2981.7, "end": 2982.16, "word": " exist", "probability": 0.70654296875}, {"start": 2982.16, "end": 2982.4, "word": " إذا", "probability": 0.827392578125}, {"start": 2982.4, "end": 2982.7, "word": " لكل", "probability": 0.79638671875}, {"start": 2982.7, "end": 2982.96, "word": " y", "probability": 0.54638671875}, {"start": 2982.96, "end": 2983.24, "word": " أكبر", "probability": 0.9742838541666666}, {"start": 2983.24, "end": 2983.38, "word": " من", "probability": 0.99365234375}, {"start": 2983.38, "end": 2983.56, "word": " 0", "probability": 0.6728515625}, {"start": 2983.56, "end": 2983.82, "word": " دير", "probability": 0.54669189453125}, {"start": 2983.82, "end": 2984.18, "word": " exist", "probability": 0.76953125}, {"start": 2984.18, "end": 2984.44, "word": " اللي", "probability": 0.6318359375}, {"start": 2984.44, "end": 2984.62, "word": " هو", "probability": 0.94921875}, {"start": 2984.62, "end": 2984.84, "word": " k", "probability": 0.607421875}, {"start": 2984.84, "end": 2985.04, "word": " such", "probability": 0.76416015625}, {"start": 2985.04, "end": 2985.42, "word": " that", "probability": 0.7919921875}, {"start": 2985.42, "end": 2986.14, "word": " هذا", "probability": 0.94970703125}, {"start": 2986.14, "end": 2986.7, "word": " المقدر", "probability": 0.908203125}, {"start": 2986.7, "end": 2987.2, "word": " ناقص", "probability": 0.97802734375}, {"start": 2987.2, "end": 2987.4, "word": " a", "probability": 0.9658203125}, {"start": 2987.4, "end": 2987.9, "word": " أصغر", "probability": 0.9879150390625}, {"start": 2987.9, "end": 2988.02, "word": " من", "probability": 0.98291015625}, {"start": 2988.02, "end": 2988.26, "word": " y", "probability": 0.65185546875}, {"start": 2988.26, "end": 2988.56, "word": " for", "probability": 0.70263671875}, {"start": 2988.56, "end": 2988.82, "word": " every", "probability": 0.80615234375}, {"start": 2988.82, "end": 2989.0, "word": " n", "probability": 0.896484375}, {"start": 2989.0, "end": 2989.34, "word": " أكبر", "probability": 0.9798177083333334}, {"start": 2989.34, "end": 2989.74, "word": " ساوة", "probability": 0.776611328125}, {"start": 2989.74, "end": 2989.96, "word": " k", "probability": 0.8828125}, {"start": 2989.96, "end": 2990.64, "word": " اللي", "probability": 0.884521484375}, {"start": 2990.64, "end": 2990.84, "word": " يعني", "probability": 0.849365234375}, {"start": 2990.84, "end": 2991.0, "word": " ال", "probability": 0.90478515625}, {"start": 2991.0, "end": 2991.28, "word": " epsilon", "probability": 0.489990234375}, {"start": 2991.28, "end": 2991.52, "word": " اللي", "probability": 0.966552734375}, {"start": 2991.52, "end": 2991.76, "word": " بدأ", "probability": 0.4464111328125}, {"start": 2991.76, "end": 2992.18, "word": " اختارها", "probability": 0.879150390625}, {"start": 2992.18, "end": 2992.42, "word": " بدأ", "probability": 0.813720703125}, {"start": 2992.42, "end": 2993.08, "word": " تخدمني", "probability": 0.962646484375}, {"start": 2993.08, "end": 2993.54, "word": " زي", "probability": 0.9814453125}, {"start": 2993.54, "end": 2993.64, "word": " ما", "probability": 0.9912109375}, {"start": 2993.64, "end": 2993.92, "word": " عملنا", "probability": 0.9757486979166666}, {"start": 2993.92, "end": 2994.14, "word": " قبل", "probability": 0.800537109375}, {"start": 2994.14, "end": 2994.38, "word": " هيك", "probability": 0.769775390625}, {"start": 2994.38, "end": 2994.48, "word": " في", "probability": 0.89453125}, {"start": 2994.48, "end": 2994.54, "word": " ال", "probability": 0.96923828125}, {"start": 2994.54, "end": 2994.82, "word": " proof", "probability": 0.96240234375}, {"start": 2994.82, "end": 2995.12, "word": " تبع", "probability": 0.779052734375}, {"start": 2995.12, "end": 2995.62, "word": " 109", "probability": 0.78466796875}, {"start": 2995.62, "end": 2996.46, "word": " اللي", "probability": 0.69873046875}, {"start": 2996.46, "end": 2996.64, "word": " هو", "probability": 0.970703125}, {"start": 2996.64, "end": 2996.92, "word": " 6", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 134, "seek": 302656, "start": 2997.44, "end": 3026.56, "text": "الان بما انه a أكبر من واحد يعني الفترة بين a والواحد وال a أكيد في a واحد بينهم الان عندي ال a واحد ال a واحد ال element واحد وال a لو جيت يعني بمعنى أخر ال a واحد أكبر من ال a وأصغر من ال a الان خد ال epsilon let epsilon بساوي a minus a واحد أكبر من 0 الان if there exist then", "tokens": [6027, 7649, 4724, 15042, 16472, 3224, 257, 5551, 4117, 26890, 9154, 36764, 24401, 37495, 22653, 27188, 2655, 25720, 49374, 257, 16070, 14407, 24401, 16070, 257, 5551, 4117, 25708, 8978, 257, 36764, 24401, 49374, 16095, 2423, 7649, 18871, 16254, 2423, 257, 36764, 24401, 2423, 257, 36764, 24401, 2423, 4478, 36764, 24401, 16070, 257, 45164, 10874, 36081, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 2423, 257, 36764, 24401, 5551, 4117, 26890, 9154, 2423, 257, 36725, 9381, 17082, 2288, 9154, 2423, 257, 2423, 7649, 16490, 3215, 2423, 17889, 718, 17889, 4724, 3794, 995, 45865, 257, 3175, 257, 36764, 24401, 5551, 4117, 26890, 9154, 1958, 2423, 7649, 498, 456, 2514, 550], "avg_logprob": -0.19772727394645864, "compression_ratio": 2.16, "no_speech_prob": 4.0531158447265625e-06, "words": [{"start": 2997.44, "end": 2997.86, "word": "الان", "probability": 0.5626220703125}, {"start": 2997.86, "end": 2998.36, "word": " بما", "probability": 0.91357421875}, {"start": 2998.36, "end": 2998.68, "word": " انه", "probability": 0.4154052734375}, {"start": 2998.68, "end": 2998.8, "word": " a", "probability": 0.51611328125}, {"start": 2998.8, "end": 2999.14, "word": " أكبر", "probability": 0.8961588541666666}, {"start": 2999.14, "end": 2999.32, "word": " من", "probability": 0.9921875}, {"start": 2999.32, "end": 2999.84, "word": " واحد", "probability": 0.8125}, {"start": 2999.84, "end": 3000.52, "word": " يعني", "probability": 0.9267578125}, {"start": 3000.52, "end": 3000.96, "word": " الفترة", "probability": 0.9822591145833334}, {"start": 3000.96, "end": 3001.2, "word": " بين", "probability": 0.94775390625}, {"start": 3001.2, "end": 3001.44, "word": " a", "probability": 0.55419921875}, {"start": 3001.44, "end": 3002.84, "word": " والواحد", "probability": 0.7093098958333334}, {"start": 3002.84, "end": 3003.0, "word": " وال", "probability": 0.60400390625}, {"start": 3003.0, "end": 3003.2, "word": " a", "probability": 0.315185546875}, {"start": 3003.2, "end": 3003.66, "word": " أكيد", "probability": 0.8595377604166666}, {"start": 3003.66, "end": 3003.84, "word": " في", "probability": 0.892578125}, {"start": 3003.84, "end": 3004.18, "word": " a", "probability": 0.888671875}, {"start": 3004.18, "end": 3004.62, "word": " واحد", "probability": 0.9775390625}, {"start": 3004.62, "end": 3005.32, "word": " بينهم", "probability": 0.865966796875}, {"start": 3005.32, "end": 3006.08, "word": " الان", "probability": 0.757080078125}, {"start": 3006.08, "end": 3006.66, "word": " عندي", "probability": 0.846923828125}, {"start": 3006.66, "end": 3006.96, "word": " ال", "probability": 0.9580078125}, {"start": 3006.96, "end": 3007.12, "word": " a", "probability": 0.95068359375}, {"start": 3007.12, "end": 3007.78, "word": " واحد", "probability": 0.982421875}, {"start": 3007.78, "end": 3008.64, "word": " ال", "probability": 0.94580078125}, {"start": 3008.64, "end": 3008.84, "word": " a", "probability": 0.98046875}, {"start": 3008.84, "end": 3009.34, "word": " واحد", "probability": 0.98095703125}, {"start": 3009.34, "end": 3009.74, "word": " ال", "probability": 0.406982421875}, {"start": 3009.74, "end": 3010.04, "word": " element", "probability": 0.7275390625}, {"start": 3010.04, "end": 3010.64, "word": " واحد", "probability": 0.892822265625}, {"start": 3010.64, "end": 3010.84, "word": " وال", "probability": 0.7578125}, {"start": 3010.84, "end": 3011.04, "word": " a", "probability": 0.7958984375}, {"start": 3011.04, "end": 3011.94, "word": " لو", "probability": 0.9052734375}, {"start": 3011.94, "end": 3012.38, "word": " جيت", "probability": 0.9619140625}, {"start": 3012.38, "end": 3013.44, "word": " يعني", "probability": 0.8369140625}, {"start": 3013.44, "end": 3013.74, "word": " بمعنى", "probability": 0.97236328125}, {"start": 3013.74, "end": 3014.04, "word": " أخر", "probability": 0.849853515625}, {"start": 3014.04, "end": 3014.22, "word": " ال", "probability": 0.974609375}, {"start": 3014.22, "end": 3014.34, "word": " a", "probability": 0.9912109375}, {"start": 3014.34, "end": 3014.62, "word": " واحد", "probability": 0.982666015625}, {"start": 3014.62, "end": 3014.98, "word": " أكبر", "probability": 0.9475911458333334}, {"start": 3014.98, "end": 3015.16, "word": " من", "probability": 0.98828125}, {"start": 3015.16, "end": 3015.3, "word": " ال", "probability": 0.8994140625}, {"start": 3015.3, "end": 3015.48, "word": " a", "probability": 0.9833984375}, {"start": 3015.48, "end": 3016.02, "word": " وأصغر", "probability": 0.86474609375}, {"start": 3016.02, "end": 3016.16, "word": " من", "probability": 0.9892578125}, {"start": 3016.16, "end": 3016.28, "word": " ال", "probability": 0.83544921875}, {"start": 3016.28, "end": 3016.44, "word": " a", "probability": 0.966796875}, {"start": 3016.44, "end": 3017.44, "word": " الان", "probability": 0.861083984375}, {"start": 3017.44, "end": 3017.96, "word": " خد", "probability": 0.909423828125}, {"start": 3017.96, "end": 3018.1, "word": " ال", "probability": 0.8857421875}, {"start": 3018.1, "end": 3018.7, "word": " epsilon", "probability": 0.71044921875}, {"start": 3018.7, "end": 3019.62, "word": " let", "probability": 0.37744140625}, {"start": 3019.62, "end": 3020.6, "word": " epsilon", "probability": 0.77880859375}, {"start": 3020.6, "end": 3021.2, "word": " بساوي", "probability": 0.6942138671875}, {"start": 3021.2, "end": 3021.64, "word": " a", "probability": 0.787109375}, {"start": 3021.64, "end": 3022.04, "word": " minus", "probability": 0.70361328125}, {"start": 3022.04, "end": 3022.32, "word": " a", "probability": 0.9833984375}, {"start": 3022.32, "end": 3022.68, "word": " واحد", "probability": 0.98388671875}, {"start": 3022.68, "end": 3023.02, "word": " أكبر", "probability": 0.9562174479166666}, {"start": 3023.02, "end": 3023.18, "word": " من", "probability": 0.9970703125}, {"start": 3023.18, "end": 3023.42, "word": " 0", "probability": 0.6484375}, {"start": 3023.42, "end": 3024.6, "word": " الان", "probability": 0.95166015625}, {"start": 3024.6, "end": 3024.9, "word": " if", "probability": 0.625}, {"start": 3024.9, "end": 3025.22, "word": " there", "probability": 0.30029296875}, {"start": 3025.22, "end": 3025.82, "word": " exist", "probability": 0.62255859375}, {"start": 3025.82, "end": 3026.56, "word": " then", "probability": 0.8408203125}], "temperature": 1.0}, {"id": 135, "seek": 303449, "start": 3027.49, "end": 3034.49, "text": "There exists K element in N such that for every N أكبر وشهو K هيكون عندي", "tokens": [51, 511, 68, 8198, 591, 4478, 294, 426, 1270, 300, 337, 633, 426, 5551, 4117, 26890, 4032, 8592, 3224, 2407, 591, 39896, 30544, 18871, 16254], "avg_logprob": -0.4332932715232556, "compression_ratio": 0.9270833333333334, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3027.49, "end": 3027.91, "word": "There", "probability": 0.5044352213541666}, {"start": 3027.91, "end": 3028.35, "word": " exists", "probability": 0.55517578125}, {"start": 3028.35, "end": 3028.75, "word": " K", "probability": 0.466064453125}, {"start": 3028.75, "end": 3029.49, "word": " element", "probability": 0.7939453125}, {"start": 3029.49, "end": 3029.75, "word": " in", "probability": 0.955078125}, {"start": 3029.75, "end": 3029.97, "word": " N", "probability": 0.85302734375}, {"start": 3029.97, "end": 3030.41, "word": " such", "probability": 0.80322265625}, {"start": 3030.41, "end": 3030.93, "word": " that", "probability": 0.955078125}, {"start": 3030.93, "end": 3031.45, "word": " for", "probability": 0.9033203125}, {"start": 3031.45, "end": 3031.83, "word": " every", "probability": 0.8203125}, {"start": 3031.83, "end": 3032.13, "word": " N", "probability": 0.7822265625}, {"start": 3032.13, "end": 3032.55, "word": " أكبر", "probability": 0.9293619791666666}, {"start": 3032.55, "end": 3032.97, "word": " وشهو", "probability": 0.5096435546875}, {"start": 3032.97, "end": 3033.29, "word": " K", "probability": 0.89794921875}, {"start": 3033.29, "end": 3034.03, "word": " هيكون", "probability": 0.6785888671875}, {"start": 3034.03, "end": 3034.49, "word": " عندي", "probability": 0.7178955078125}], "temperature": 1.0}, {"id": 136, "seek": 306193, "start": 3034.73, "end": 3061.93, "text": "اللي هو ال N في الواحد ناقص absolute value XN زائد واحد على ال absolute value لل XN ناقص ال A أصغر من مين من Y اللي هي ال A minus A واحد فوق هذا المقدار هيصير عبارة عن هذا absolute value أصغر من هذا وأكبر من اللي هو A ناقص أو A واحد ناقص A هذا اللي بهمني الآن", "tokens": [6027, 20292, 31439, 2423, 426, 8978, 2423, 14407, 24401, 8717, 995, 4587, 9381, 8236, 2158, 1783, 45, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 8236, 2158, 24976, 1783, 45, 8717, 995, 4587, 9381, 2423, 316, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 398, 13672, 1829, 39896, 2423, 316, 3175, 316, 36764, 24401, 6156, 30543, 23758, 9673, 28543, 9640, 39896, 9381, 13546, 6225, 3555, 9640, 3660, 18871, 23758, 8236, 2158, 5551, 9381, 17082, 2288, 9154, 23758, 36725, 4117, 26890, 9154, 13672, 1829, 31439, 316, 8717, 995, 4587, 9381, 34051, 316, 36764, 24401, 8717, 995, 4587, 9381, 316, 23758, 13672, 1829, 4724, 16095, 22653, 6024, 48506], "avg_logprob": -0.14158313988514667, "compression_ratio": 1.9658536585365853, "no_speech_prob": 3.933906555175781e-06, "words": [{"start": 3034.73, "end": 3035.07, "word": "اللي", "probability": 0.8818359375}, {"start": 3035.07, "end": 3035.21, "word": " هو", "probability": 0.962890625}, {"start": 3035.21, "end": 3035.39, "word": " ال", "probability": 0.78857421875}, {"start": 3035.39, "end": 3035.71, "word": " N", "probability": 0.2626953125}, {"start": 3035.71, "end": 3036.23, "word": " في", "probability": 0.8857421875}, {"start": 3036.23, "end": 3036.79, "word": " الواحد", "probability": 0.7686360677083334}, {"start": 3036.79, "end": 3037.45, "word": " ناقص", "probability": 0.92431640625}, {"start": 3037.45, "end": 3037.81, "word": " absolute", "probability": 0.70703125}, {"start": 3037.81, "end": 3038.23, "word": " value", "probability": 0.98828125}, {"start": 3038.23, "end": 3038.61, "word": " XN", "probability": 0.5208740234375}, {"start": 3038.61, "end": 3038.97, "word": " زائد", "probability": 0.7376302083333334}, {"start": 3038.97, "end": 3039.37, "word": " واحد", "probability": 0.8671875}, {"start": 3039.37, "end": 3039.99, "word": " على", "probability": 0.71826171875}, {"start": 3039.99, "end": 3040.13, "word": " ال", "probability": 0.71142578125}, {"start": 3040.13, "end": 3040.45, "word": " absolute", "probability": 0.93994140625}, {"start": 3040.45, "end": 3040.93, "word": " value", "probability": 0.9912109375}, {"start": 3040.93, "end": 3041.11, "word": " لل", "probability": 0.6494140625}, {"start": 3041.11, "end": 3041.77, "word": " XN", "probability": 0.861328125}, {"start": 3041.77, "end": 3043.19, "word": " ناقص", "probability": 0.9874267578125}, {"start": 3043.19, "end": 3043.47, "word": " ال", "probability": 0.96533203125}, {"start": 3043.47, "end": 3043.83, "word": " A", "probability": 0.802734375}, {"start": 3043.83, "end": 3044.73, "word": " أصغر", "probability": 0.982421875}, {"start": 3044.73, "end": 3044.99, "word": " من", "probability": 0.98046875}, {"start": 3044.99, "end": 3045.41, "word": " مين", "probability": 0.753662109375}, {"start": 3045.41, "end": 3045.75, "word": " من", "probability": 0.86083984375}, {"start": 3045.75, "end": 3046.09, "word": " Y", "probability": 0.541015625}, {"start": 3046.09, "end": 3046.35, "word": " اللي", "probability": 0.7431640625}, {"start": 3046.35, "end": 3046.51, "word": " هي", "probability": 0.94921875}, {"start": 3046.51, "end": 3046.71, "word": " ال", "probability": 0.81787109375}, {"start": 3046.71, "end": 3047.01, "word": " A", "probability": 0.88232421875}, {"start": 3047.01, "end": 3047.77, "word": " minus", "probability": 0.68505859375}, {"start": 3047.77, "end": 3048.07, "word": " A", "probability": 0.9150390625}, {"start": 3048.07, "end": 3048.51, "word": " واحد", "probability": 0.9345703125}, {"start": 3048.51, "end": 3049.23, "word": " فوق", "probability": 0.71142578125}, {"start": 3049.23, "end": 3049.49, "word": " هذا", "probability": 0.96044921875}, {"start": 3049.49, "end": 3050.27, "word": " المقدار", "probability": 0.9747721354166666}, {"start": 3050.27, "end": 3051.05, "word": " هيصير", "probability": 0.8776041666666666}, {"start": 3051.05, "end": 3051.53, "word": " عبارة", "probability": 0.99658203125}, {"start": 3051.53, "end": 3051.81, "word": " عن", "probability": 0.9921875}, {"start": 3051.81, "end": 3052.45, "word": " هذا", "probability": 0.96630859375}, {"start": 3052.45, "end": 3052.97, "word": " absolute", "probability": 0.95751953125}, {"start": 3052.97, "end": 3053.63, "word": " value", "probability": 0.9951171875}, {"start": 3053.63, "end": 3054.53, "word": " أصغر", "probability": 0.9873046875}, {"start": 3054.53, "end": 3054.71, "word": " من", "probability": 0.99462890625}, {"start": 3054.71, "end": 3054.99, "word": " هذا", "probability": 0.97509765625}, {"start": 3054.99, "end": 3055.81, "word": " وأكبر", "probability": 0.815185546875}, {"start": 3055.81, "end": 3056.73, "word": " من", "probability": 0.9931640625}, {"start": 3056.73, "end": 3057.01, "word": " اللي", "probability": 0.862548828125}, {"start": 3057.01, "end": 3057.21, "word": " هو", "probability": 0.98583984375}, {"start": 3057.21, "end": 3057.53, "word": " A", "probability": 0.91455078125}, {"start": 3057.53, "end": 3058.27, "word": " ناقص", "probability": 0.9835205078125}, {"start": 3058.27, "end": 3059.09, "word": " أو", "probability": 0.57080078125}, {"start": 3059.09, "end": 3059.33, "word": " A", "probability": 0.87451171875}, {"start": 3059.33, "end": 3059.83, "word": " واحد", "probability": 0.987548828125}, {"start": 3059.83, "end": 3060.39, "word": " ناقص", "probability": 0.9964599609375}, {"start": 3060.39, "end": 3060.59, "word": " A", "probability": 0.8623046875}, {"start": 3060.59, "end": 3061.07, "word": " هذا", "probability": 0.8779296875}, {"start": 3061.07, "end": 3061.23, "word": " اللي", "probability": 0.9931640625}, {"start": 3061.23, "end": 3061.65, "word": " بهمني", "probability": 0.8277994791666666}, {"start": 3061.65, "end": 3061.93, "word": " الآن", "probability": 0.831787109375}], "temperature": 1.0}, {"id": 137, "seek": 307753, "start": 3062.37, "end": 3077.53, "text": "الان هتلاحظ ان ان في واحد ناقص absolute value of xn زائد واحد على absolute value of xn اللي هو اصغر جيب هذه hand بيصير عندك اللي هو ناقص ايه", "tokens": [6027, 7649, 8032, 2655, 15040, 5016, 19913, 16472, 16472, 8978, 36764, 24401, 8717, 995, 4587, 9381, 8236, 2158, 295, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 8236, 2158, 295, 2031, 77, 13672, 1829, 31439, 1975, 9381, 17082, 2288, 10874, 1829, 3555, 29538, 1011, 4724, 1829, 9381, 13546, 43242, 4117, 13672, 1829, 31439, 8717, 995, 4587, 9381, 1975, 1829, 3224], "avg_logprob": -0.212858612420129, "compression_ratio": 1.5, "no_speech_prob": 4.392862319946289e-05, "words": [{"start": 3062.37, "end": 3062.77, "word": "الان", "probability": 0.6611328125}, {"start": 3062.77, "end": 3063.45, "word": " هتلاحظ", "probability": 0.93134765625}, {"start": 3063.45, "end": 3063.59, "word": " ان", "probability": 0.77880859375}, {"start": 3063.59, "end": 3064.03, "word": " ان", "probability": 0.451416015625}, {"start": 3064.03, "end": 3064.77, "word": " في", "probability": 0.76611328125}, {"start": 3064.77, "end": 3065.25, "word": " واحد", "probability": 0.6905517578125}, {"start": 3065.25, "end": 3065.65, "word": " ناقص", "probability": 0.90234375}, {"start": 3065.65, "end": 3065.97, "word": " absolute", "probability": 0.250244140625}, {"start": 3065.97, "end": 3066.37, "word": " value", "probability": 0.9716796875}, {"start": 3066.37, "end": 3066.49, "word": " of", "probability": 0.42822265625}, {"start": 3066.49, "end": 3066.79, "word": " xn", "probability": 0.721435546875}, {"start": 3066.79, "end": 3067.11, "word": " زائد", "probability": 0.700439453125}, {"start": 3067.11, "end": 3067.55, "word": " واحد", "probability": 0.97216796875}, {"start": 3067.55, "end": 3068.07, "word": " على", "probability": 0.68798828125}, {"start": 3068.07, "end": 3068.39, "word": " absolute", "probability": 0.962890625}, {"start": 3068.39, "end": 3068.83, "word": " value", "probability": 0.9951171875}, {"start": 3068.83, "end": 3068.95, "word": " of", "probability": 0.8369140625}, {"start": 3068.95, "end": 3069.57, "word": " xn", "probability": 0.97412109375}, {"start": 3069.57, "end": 3070.35, "word": " اللي", "probability": 0.835693359375}, {"start": 3070.35, "end": 3070.63, "word": " هو", "probability": 0.97265625}, {"start": 3070.63, "end": 3071.47, "word": " اصغر", "probability": 0.86492919921875}, {"start": 3071.47, "end": 3072.13, "word": " جيب", "probability": 0.84716796875}, {"start": 3072.13, "end": 3072.37, "word": " هذه", "probability": 0.70654296875}, {"start": 3072.37, "end": 3072.79, "word": " hand", "probability": 0.413330078125}, {"start": 3072.79, "end": 3073.73, "word": " بيصير", "probability": 0.856201171875}, {"start": 3073.73, "end": 3074.25, "word": " عندك", "probability": 0.996337890625}, {"start": 3074.25, "end": 3074.51, "word": " اللي", "probability": 0.972900390625}, {"start": 3074.51, "end": 3074.89, "word": " هو", "probability": 0.97021484375}, {"start": 3074.89, "end": 3076.75, "word": " ناقص", "probability": 0.981201171875}, {"start": 3076.75, "end": 3077.53, "word": " ايه", "probability": 0.8958333333333334}], "temperature": 1.0}, {"id": 138, "seek": 309802, "start": 3081.84, "end": 3098.02, "text": "أو خلّينا لأ من الجهة الثانية انا مش الجهة دي اكبر من a واحد ناقص a و ناقص a بجيبها على الجهة الثانية بيصير زائد a بيصير هذا المقدار اكبر من a زائد a واحد ناقص a يعني بتروح ال a", "tokens": [10721, 2407, 16490, 1211, 11703, 9957, 995, 5296, 10721, 9154, 25724, 3224, 3660, 6024, 104, 7649, 10632, 1975, 8315, 37893, 25724, 3224, 3660, 11778, 1829, 1975, 4117, 26890, 9154, 257, 36764, 24401, 8717, 995, 4587, 9381, 257, 4032, 8717, 995, 4587, 9381, 257, 4724, 7435, 1829, 3555, 11296, 15844, 25724, 3224, 3660, 6024, 104, 7649, 10632, 4724, 1829, 9381, 13546, 30767, 16373, 3215, 257, 4724, 1829, 9381, 13546, 23758, 9673, 28543, 9640, 1975, 4117, 26890, 9154, 257, 30767, 16373, 3215, 257, 36764, 24401, 8717, 995, 4587, 9381, 257, 37495, 22653, 39894, 32887, 5016, 2423, 257], "avg_logprob": -0.1578776064949731, "compression_ratio": 2.0, "no_speech_prob": 0.00021135807037353516, "words": [{"start": 3081.8399999999997, "end": 3082.6, "word": "أو", "probability": 0.7646484375}, {"start": 3082.6, "end": 3082.98, "word": " خلّينا", "probability": 0.694140625}, {"start": 3082.98, "end": 3083.18, "word": " لأ", "probability": 0.777587890625}, {"start": 3083.18, "end": 3083.36, "word": " من", "probability": 0.4814453125}, {"start": 3083.36, "end": 3083.84, "word": " الجهة", "probability": 0.9527994791666666}, {"start": 3083.84, "end": 3084.18, "word": " الثانية", "probability": 0.9420166015625}, {"start": 3084.18, "end": 3084.34, "word": " انا", "probability": 0.4853515625}, {"start": 3084.34, "end": 3084.5, "word": " مش", "probability": 0.92919921875}, {"start": 3084.5, "end": 3084.92, "word": " الجهة", "probability": 0.9108072916666666}, {"start": 3084.92, "end": 3085.2, "word": " دي", "probability": 0.81640625}, {"start": 3085.2, "end": 3085.82, "word": " اكبر", "probability": 0.8512369791666666}, {"start": 3085.82, "end": 3086.22, "word": " من", "probability": 0.98974609375}, {"start": 3086.22, "end": 3086.76, "word": " a", "probability": 0.447509765625}, {"start": 3086.76, "end": 3087.3, "word": " واحد", "probability": 0.760498046875}, {"start": 3087.3, "end": 3087.9, "word": " ناقص", "probability": 0.9644775390625}, {"start": 3087.9, "end": 3088.3, "word": " a", "probability": 0.92041015625}, {"start": 3088.3, "end": 3088.78, "word": " و", "probability": 0.81005859375}, {"start": 3088.78, "end": 3089.22, "word": " ناقص", "probability": 0.843017578125}, {"start": 3089.22, "end": 3089.34, "word": " a", "probability": 0.97119140625}, {"start": 3089.34, "end": 3089.72, "word": " بجيبها", "probability": 0.87119140625}, {"start": 3089.72, "end": 3089.82, "word": " على", "probability": 0.3037109375}, {"start": 3089.82, "end": 3090.04, "word": " الجهة", "probability": 0.9754231770833334}, {"start": 3090.04, "end": 3090.26, "word": " الثانية", "probability": 0.8994140625}, {"start": 3090.26, "end": 3090.54, "word": " بيصير", "probability": 0.8594970703125}, {"start": 3090.54, "end": 3090.9, "word": " زائد", "probability": 0.86474609375}, {"start": 3090.9, "end": 3091.2, "word": " a", "probability": 0.96142578125}, {"start": 3091.2, "end": 3091.94, "word": " بيصير", "probability": 0.9283447265625}, {"start": 3091.94, "end": 3092.14, "word": " هذا", "probability": 0.94287109375}, {"start": 3092.14, "end": 3093.02, "word": " المقدار", "probability": 0.9689127604166666}, {"start": 3093.02, "end": 3093.86, "word": " اكبر", "probability": 0.9256184895833334}, {"start": 3093.86, "end": 3094.4, "word": " من", "probability": 0.99072265625}, {"start": 3094.4, "end": 3094.76, "word": " a", "probability": 0.9208984375}, {"start": 3094.76, "end": 3095.14, "word": " زائد", "probability": 0.9609375}, {"start": 3095.14, "end": 3095.26, "word": " a", "probability": 0.974609375}, {"start": 3095.26, "end": 3095.58, "word": " واحد", "probability": 0.985107421875}, {"start": 3095.58, "end": 3096.0, "word": " ناقص", "probability": 0.9952392578125}, {"start": 3096.0, "end": 3096.32, "word": " a", "probability": 0.98681640625}, {"start": 3096.32, "end": 3096.96, "word": " يعني", "probability": 0.92578125}, {"start": 3096.96, "end": 3097.54, "word": " بتروح", "probability": 0.8531901041666666}, {"start": 3097.54, "end": 3097.7, "word": " ال", "probability": 0.958984375}, {"start": 3097.7, "end": 3098.02, "word": " a", "probability": 0.8203125}], "temperature": 1.0}, {"id": 139, "seek": 311329, "start": 3098.43, "end": 3113.29, "text": "مع الـ A نقص واحد وبصير عندي هذا المقدار أكبر من A واحد حيث الـ A واحد أكبر من واحد إذا صار عندي A واحد أصغر من هذا المقدار لكل N أكبر أو يساوي K", "tokens": [2304, 3615, 2423, 39184, 316, 8717, 4587, 9381, 36764, 24401, 46599, 9381, 13546, 18871, 16254, 23758, 9673, 28543, 9640, 5551, 4117, 26890, 9154, 316, 36764, 24401, 11331, 1829, 12984, 2423, 39184, 316, 36764, 24401, 5551, 4117, 26890, 9154, 36764, 24401, 11933, 15730, 20328, 9640, 18871, 16254, 316, 36764, 24401, 5551, 9381, 17082, 2288, 9154, 23758, 9673, 28543, 9640, 5296, 28820, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 591], "avg_logprob": -0.19630281438290234, "compression_ratio": 1.893939393939394, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3098.43, "end": 3098.67, "word": "مع", "probability": 0.61492919921875}, {"start": 3098.67, "end": 3098.93, "word": " الـ", "probability": 0.802734375}, {"start": 3098.93, "end": 3099.05, "word": " A", "probability": 0.39990234375}, {"start": 3099.05, "end": 3099.43, "word": " نقص", "probability": 0.576171875}, {"start": 3099.43, "end": 3099.93, "word": " واحد", "probability": 0.937744140625}, {"start": 3099.93, "end": 3100.67, "word": " وبصير", "probability": 0.7646484375}, {"start": 3100.67, "end": 3101.01, "word": " عندي", "probability": 0.6973876953125}, {"start": 3101.01, "end": 3101.45, "word": " هذا", "probability": 0.93701171875}, {"start": 3101.45, "end": 3102.31, "word": " المقدار", "probability": 0.9793294270833334}, {"start": 3102.31, "end": 3102.75, "word": " أكبر", "probability": 0.90380859375}, {"start": 3102.75, "end": 3102.95, "word": " من", "probability": 0.986328125}, {"start": 3102.95, "end": 3103.15, "word": " A", "probability": 0.85791015625}, {"start": 3103.15, "end": 3103.61, "word": " واحد", "probability": 0.970947265625}, {"start": 3103.61, "end": 3104.29, "word": " حيث", "probability": 0.9744466145833334}, {"start": 3104.29, "end": 3104.49, "word": " الـ", "probability": 0.740966796875}, {"start": 3104.49, "end": 3104.65, "word": " A", "probability": 0.87451171875}, {"start": 3104.65, "end": 3105.09, "word": " واحد", "probability": 0.98486328125}, {"start": 3105.09, "end": 3105.47, "word": " أكبر", "probability": 0.9718424479166666}, {"start": 3105.47, "end": 3106.59, "word": " من", "probability": 0.45556640625}, {"start": 3106.59, "end": 3108.23, "word": " واحد", "probability": 0.936279296875}, {"start": 3108.23, "end": 3108.43, "word": " إذا", "probability": 0.5775146484375}, {"start": 3108.43, "end": 3108.71, "word": " صار", "probability": 0.9267578125}, {"start": 3108.71, "end": 3108.99, "word": " عندي", "probability": 0.87841796875}, {"start": 3108.99, "end": 3109.17, "word": " A", "probability": 0.85888671875}, {"start": 3109.17, "end": 3109.67, "word": " واحد", "probability": 0.992431640625}, {"start": 3109.67, "end": 3110.51, "word": " أصغر", "probability": 0.98291015625}, {"start": 3110.51, "end": 3110.67, "word": " من", "probability": 0.9912109375}, {"start": 3110.67, "end": 3110.89, "word": " هذا", "probability": 0.9521484375}, {"start": 3110.89, "end": 3111.39, "word": " المقدار", "probability": 0.9905598958333334}, {"start": 3111.39, "end": 3111.75, "word": " لكل", "probability": 0.9365234375}, {"start": 3111.75, "end": 3111.97, "word": " N", "probability": 0.1920166015625}, {"start": 3111.97, "end": 3112.39, "word": " أكبر", "probability": 0.9599609375}, {"start": 3112.39, "end": 3112.59, "word": " أو", "probability": 0.92578125}, {"start": 3112.59, "end": 3113.09, "word": " يساوي", "probability": 0.9189453125}, {"start": 3113.09, "end": 3113.29, "word": " K", "probability": 0.491455078125}], "temperature": 1.0}, {"id": 140, "seek": 314082, "start": 3113.82, "end": 3140.82, "text": "ومنه خلّينا بنجيب اللي هو بنجسم على N بيصير اللي هي هذا المقدار 1 ناقص هذا المقدار أصغر من A1 على N بنجيب المقدار هذا N وبنجيب هذا N بيصير عندي XN زائد 1 على XN أصغر من 1 ناقص اللي هو A1 على N طبعا بعد ما جسمنا هذا أول إشي وبعدين بنجيب هذا N بعد ما جسمناه وبنجيب هذا N بيطلع عندي هذا المقدار", "tokens": [2407, 27842, 3224, 16490, 1211, 11703, 1829, 8315, 44945, 7435, 1829, 3555, 13672, 1829, 31439, 44945, 7435, 38251, 15844, 426, 4724, 1829, 9381, 13546, 13672, 1829, 39896, 23758, 9673, 28543, 9640, 502, 8717, 995, 4587, 9381, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 9154, 316, 16, 15844, 426, 44945, 7435, 1829, 3555, 9673, 28543, 9640, 23758, 426, 46599, 1863, 7435, 1829, 3555, 23758, 426, 4724, 1829, 9381, 13546, 18871, 16254, 1783, 45, 30767, 16373, 3215, 502, 15844, 1783, 45, 5551, 9381, 17082, 2288, 9154, 502, 8717, 995, 4587, 9381, 13672, 1829, 31439, 316, 16, 15844, 426, 23032, 3555, 3615, 995, 39182, 19446, 10874, 38251, 8315, 23758, 5551, 12610, 11933, 8592, 1829, 46599, 22488, 9957, 44945, 7435, 1829, 3555, 23758, 426, 39182, 19446, 10874, 38251, 8315, 3224, 46599, 1863, 7435, 1829, 3555, 23758, 426, 4724, 1829, 9566, 1211, 3615, 18871, 16254, 23758, 9673, 28543, 9640], "avg_logprob": -0.14929366030105173, "compression_ratio": 2.495, "no_speech_prob": 3.3974647521972656e-06, "words": [{"start": 3113.82, "end": 3114.56, "word": "ومنه", "probability": 0.6686197916666666}, {"start": 3114.56, "end": 3115.46, "word": " خلّينا", "probability": 0.81865234375}, {"start": 3115.46, "end": 3116.1, "word": " بنجيب", "probability": 0.9544677734375}, {"start": 3116.1, "end": 3116.32, "word": " اللي", "probability": 0.9365234375}, {"start": 3116.32, "end": 3116.68, "word": " هو", "probability": 0.99169921875}, {"start": 3116.68, "end": 3117.74, "word": " بنجسم", "probability": 0.7882486979166666}, {"start": 3117.74, "end": 3118.14, "word": " على", "probability": 0.8388671875}, {"start": 3118.14, "end": 3119.2, "word": " N", "probability": 0.33349609375}, {"start": 3119.2, "end": 3120.12, "word": " بيصير", "probability": 0.8004150390625}, {"start": 3120.12, "end": 3120.3, "word": " اللي", "probability": 0.923828125}, {"start": 3120.3, "end": 3120.58, "word": " هي", "probability": 0.78125}, {"start": 3120.58, "end": 3120.96, "word": " هذا", "probability": 0.92236328125}, {"start": 3120.96, "end": 3121.42, "word": " المقدار", "probability": 0.9329427083333334}, {"start": 3121.42, "end": 3121.68, "word": " 1", "probability": 0.6728515625}, {"start": 3121.68, "end": 3122.12, "word": " ناقص", "probability": 0.8238525390625}, {"start": 3122.12, "end": 3122.32, "word": " هذا", "probability": 0.93603515625}, {"start": 3122.32, "end": 3122.8, "word": " المقدار", "probability": 0.9767252604166666}, {"start": 3122.8, "end": 3123.2, "word": " أصغر", "probability": 0.96875}, {"start": 3123.2, "end": 3123.32, "word": " من", "probability": 0.99169921875}, {"start": 3123.32, "end": 3123.72, "word": " A1", "probability": 0.4736328125}, {"start": 3123.72, "end": 3123.9, "word": " على", "probability": 0.39453125}, {"start": 3123.9, "end": 3124.14, "word": " N", "probability": 0.98486328125}, {"start": 3124.14, "end": 3125.52, "word": " بنجيب", "probability": 0.951904296875}, {"start": 3125.52, "end": 3126.48, "word": " المقدار", "probability": 0.9788411458333334}, {"start": 3126.48, "end": 3126.68, "word": " هذا", "probability": 0.541015625}, {"start": 3126.68, "end": 3126.96, "word": " N", "probability": 0.48388671875}, {"start": 3126.96, "end": 3127.38, "word": " وبنجيب", "probability": 0.909765625}, {"start": 3127.38, "end": 3127.6, "word": " هذا", "probability": 0.9716796875}, {"start": 3127.6, "end": 3127.88, "word": " N", "probability": 0.9365234375}, {"start": 3127.88, "end": 3128.22, "word": " بيصير", "probability": 0.876708984375}, {"start": 3128.22, "end": 3128.46, "word": " عندي", "probability": 0.60113525390625}, {"start": 3128.46, "end": 3128.78, "word": " XN", "probability": 0.732666015625}, {"start": 3128.78, "end": 3129.04, "word": " زائد", "probability": 0.8458658854166666}, {"start": 3129.04, "end": 3129.18, "word": " 1", "probability": 0.88671875}, {"start": 3129.18, "end": 3129.36, "word": " على", "probability": 0.52001953125}, {"start": 3129.36, "end": 3129.84, "word": " XN", "probability": 0.94775390625}, {"start": 3129.84, "end": 3130.68, "word": " أصغر", "probability": 0.9931640625}, {"start": 3130.68, "end": 3130.86, "word": " من", "probability": 0.99755859375}, {"start": 3130.86, "end": 3131.32, "word": " 1", "probability": 0.90478515625}, {"start": 3131.32, "end": 3132.02, "word": " ناقص", "probability": 0.99072265625}, {"start": 3132.02, "end": 3132.22, "word": " اللي", "probability": 0.986083984375}, {"start": 3132.22, "end": 3132.4, "word": " هو", "probability": 0.98291015625}, {"start": 3132.4, "end": 3133.06, "word": " A1", "probability": 0.986083984375}, {"start": 3133.06, "end": 3133.28, "word": " على", "probability": 0.943359375}, {"start": 3133.28, "end": 3133.6, "word": " N", "probability": 0.9951171875}, {"start": 3133.6, "end": 3134.36, "word": " طبعا", "probability": 0.966064453125}, {"start": 3134.36, "end": 3134.56, "word": " بعد", "probability": 0.95556640625}, {"start": 3134.56, "end": 3134.8, "word": " ما", "probability": 0.91845703125}, {"start": 3134.8, "end": 3135.3, "word": " جسمنا", "probability": 0.94873046875}, {"start": 3135.3, "end": 3135.52, "word": " هذا", "probability": 0.95703125}, {"start": 3135.52, "end": 3135.7, "word": " أول", "probability": 0.933349609375}, {"start": 3135.7, "end": 3136.12, "word": " إشي", "probability": 0.8567708333333334}, {"start": 3136.12, "end": 3136.9, "word": " وبعدين", "probability": 0.8082682291666666}, {"start": 3136.9, "end": 3137.52, "word": " بنجيب", "probability": 0.9681396484375}, {"start": 3137.52, "end": 3137.8, "word": " هذا", "probability": 0.5517578125}, {"start": 3137.8, "end": 3138.08, "word": " N", "probability": 0.87744140625}, {"start": 3138.08, "end": 3138.24, "word": " بعد", "probability": 0.88525390625}, {"start": 3138.24, "end": 3138.38, "word": " ما", "probability": 0.97021484375}, {"start": 3138.38, "end": 3138.84, "word": " جسمناه", "probability": 0.9718017578125}, {"start": 3138.84, "end": 3139.2, "word": " وبنجيب", "probability": 0.88134765625}, {"start": 3139.2, "end": 3139.38, "word": " هذا", "probability": 0.990234375}, {"start": 3139.38, "end": 3139.6, "word": " N", "probability": 0.93896484375}, {"start": 3139.6, "end": 3139.92, "word": " بيطلع", "probability": 0.864208984375}, {"start": 3139.92, "end": 3140.14, "word": " عندي", "probability": 0.821044921875}, {"start": 3140.14, "end": 3140.34, "word": " هذا", "probability": 0.97021484375}, {"start": 3140.34, "end": 3140.82, "word": " المقدار", "probability": 0.9811197916666666}], "temperature": 1.0}, {"id": 141, "seek": 315618, "start": 3141.14, "end": 3156.18, "text": "فوران أكبر شوكيه صارت اللي هي الصورة هذه صورة مين صورة اللي هي الراقبست الأولى إذا بقى رقابست هيكون عنده اللي هو بما أنه اي واحد أكبر من واحد لأنه بين الواحد", "tokens": [5172, 13063, 7649, 5551, 4117, 26890, 13412, 2407, 4117, 1829, 3224, 20328, 9640, 2655, 13672, 1829, 39896, 31767, 13063, 3660, 29538, 20328, 13063, 3660, 3714, 9957, 20328, 13063, 3660, 13672, 1829, 39896, 2423, 23557, 4587, 3555, 14851, 16247, 12610, 7578, 11933, 15730, 4724, 4587, 7578, 12602, 4587, 16758, 14851, 39896, 30544, 43242, 3224, 13672, 1829, 31439, 4724, 15042, 14739, 3224, 1975, 1829, 36764, 24401, 5551, 4117, 26890, 9154, 36764, 24401, 5296, 33456, 3224, 49374, 2423, 14407, 24401], "avg_logprob": -0.25100161326237214, "compression_ratio": 1.8993288590604027, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 3141.14, "end": 3141.74, "word": "فوران", "probability": 0.38916015625}, {"start": 3141.74, "end": 3142.12, "word": " أكبر", "probability": 0.94189453125}, {"start": 3142.12, "end": 3142.7, "word": " شوكيه", "probability": 0.8106201171875}, {"start": 3142.7, "end": 3143.0, "word": " صارت", "probability": 0.92431640625}, {"start": 3143.0, "end": 3143.14, "word": " اللي", "probability": 0.784423828125}, {"start": 3143.14, "end": 3143.3, "word": " هي", "probability": 0.916015625}, {"start": 3143.3, "end": 3143.82, "word": " الصورة", "probability": 0.97802734375}, {"start": 3143.82, "end": 3144.06, "word": " هذه", "probability": 0.75537109375}, {"start": 3144.06, "end": 3144.52, "word": " صورة", "probability": 0.9759114583333334}, {"start": 3144.52, "end": 3145.36, "word": " مين", "probability": 0.86669921875}, {"start": 3145.36, "end": 3146.26, "word": " صورة", "probability": 0.7881673177083334}, {"start": 3146.26, "end": 3146.4, "word": " اللي", "probability": 0.8173828125}, {"start": 3146.4, "end": 3146.5, "word": " هي", "probability": 0.91845703125}, {"start": 3146.5, "end": 3147.06, "word": " الراقبست", "probability": 0.56494140625}, {"start": 3147.06, "end": 3147.9, "word": " الأولى", "probability": 0.90234375}, {"start": 3147.9, "end": 3148.32, "word": " إذا", "probability": 0.5755615234375}, {"start": 3148.32, "end": 3148.6, "word": " بقى", "probability": 0.5712890625}, {"start": 3148.6, "end": 3149.54, "word": " رقابست", "probability": 0.8553466796875}, {"start": 3149.54, "end": 3150.3, "word": " هيكون", "probability": 0.644775390625}, {"start": 3150.3, "end": 3150.82, "word": " عنده", "probability": 0.78173828125}, {"start": 3150.82, "end": 3151.14, "word": " اللي", "probability": 0.975830078125}, {"start": 3151.14, "end": 3151.4, "word": " هو", "probability": 0.99560546875}, {"start": 3151.4, "end": 3151.78, "word": " بما", "probability": 0.969970703125}, {"start": 3151.78, "end": 3152.1, "word": " أنه", "probability": 0.74169921875}, {"start": 3152.1, "end": 3152.24, "word": " اي", "probability": 0.6416015625}, {"start": 3152.24, "end": 3152.68, "word": " واحد", "probability": 0.986328125}, {"start": 3152.68, "end": 3153.36, "word": " أكبر", "probability": 0.9152018229166666}, {"start": 3153.36, "end": 3154.1, "word": " من", "probability": 0.99169921875}, {"start": 3154.1, "end": 3154.74, "word": " واحد", "probability": 0.9921875}, {"start": 3154.74, "end": 3155.18, "word": " لأنه", "probability": 0.8670247395833334}, {"start": 3155.18, "end": 3155.42, "word": " بين", "probability": 0.98681640625}, {"start": 3155.42, "end": 3156.18, "word": " الواحد", "probability": 0.9827473958333334}], "temperature": 1.0}, {"id": 142, "seek": 317871, "start": 3156.67, "end": 3178.71, "text": "بين الواحد وال إيه هيصير عندي اللي هو بيرابستيس الصممشي لل إكسان is absolutely convergent فأصغر من واحد فأصغر من واحد بدو يصير الموضوع الآن مشابه بس بتختلف من هنا خلّي أتي نشوف لكم إياه كيف بيختلف الان for a", "tokens": [3555, 9957, 2423, 14407, 24401, 16070, 11933, 1829, 3224, 39896, 9381, 13546, 43242, 1829, 13672, 1829, 31439, 4724, 13546, 16758, 14851, 1829, 3794, 2423, 9381, 2304, 2304, 8592, 1829, 24976, 11933, 4117, 3794, 7649, 307, 3122, 9652, 6930, 6156, 10721, 9381, 17082, 2288, 9154, 36764, 24401, 6156, 10721, 9381, 17082, 2288, 9154, 36764, 24401, 47525, 2407, 7251, 9381, 13546, 9673, 2407, 11242, 45367, 6024, 48506, 37893, 16758, 3224, 4724, 3794, 39894, 46456, 46538, 9154, 34105, 16490, 1211, 11703, 1829, 5551, 31371, 8717, 8592, 38688, 5296, 24793, 11933, 25528, 3224, 9122, 33911, 4724, 1829, 46456, 46538, 2423, 7649, 337, 257], "avg_logprob": -0.40906250327825544, "compression_ratio": 1.6384976525821595, "no_speech_prob": 6.455183029174805e-05, "words": [{"start": 3156.67, "end": 3156.99, "word": "بين", "probability": 0.71044921875}, {"start": 3156.99, "end": 3157.41, "word": " الواحد", "probability": 0.6891276041666666}, {"start": 3157.41, "end": 3157.61, "word": " وال", "probability": 0.7412109375}, {"start": 3157.61, "end": 3157.99, "word": " إيه", "probability": 0.6836751302083334}, {"start": 3157.99, "end": 3158.67, "word": " هيصير", "probability": 0.767578125}, {"start": 3158.67, "end": 3159.13, "word": " عندي", "probability": 0.4906005859375}, {"start": 3159.13, "end": 3159.37, "word": " اللي", "probability": 0.9619140625}, {"start": 3159.37, "end": 3159.73, "word": " هو", "probability": 0.990234375}, {"start": 3159.73, "end": 3161.07, "word": " بيرابستيس", "probability": 0.4296061197916667}, {"start": 3161.07, "end": 3162.19, "word": " الصممشي", "probability": 0.55615234375}, {"start": 3162.19, "end": 3162.33, "word": " لل", "probability": 0.7734375}, {"start": 3162.33, "end": 3162.69, "word": " إكسان", "probability": 0.578948974609375}, {"start": 3162.69, "end": 3162.91, "word": " is", "probability": 0.60205078125}, {"start": 3162.91, "end": 3163.57, "word": " absolutely", "probability": 0.65673828125}, {"start": 3163.57, "end": 3165.25, "word": " convergent", "probability": 0.840576171875}, {"start": 3165.25, "end": 3166.75, "word": " فأصغر", "probability": 0.6013671875}, {"start": 3166.75, "end": 3166.89, "word": " من", "probability": 0.986328125}, {"start": 3166.89, "end": 3167.39, "word": " واحد", "probability": 0.983642578125}, {"start": 3167.39, "end": 3168.79, "word": " فأصغر", "probability": 0.8955078125}, {"start": 3168.79, "end": 3168.93, "word": " من", "probability": 0.98779296875}, {"start": 3168.93, "end": 3169.37, "word": " واحد", "probability": 0.994140625}, {"start": 3169.37, "end": 3170.11, "word": " بدو", "probability": 0.35986328125}, {"start": 3170.11, "end": 3170.41, "word": " يصير", "probability": 0.96142578125}, {"start": 3170.41, "end": 3170.97, "word": " الموضوع", "probability": 0.9964599609375}, {"start": 3170.97, "end": 3171.39, "word": " الآن", "probability": 0.641357421875}, {"start": 3171.39, "end": 3172.07, "word": " مشابه", "probability": 0.9664713541666666}, {"start": 3172.07, "end": 3172.63, "word": " بس", "probability": 0.927001953125}, {"start": 3172.63, "end": 3173.21, "word": " بتختلف", "probability": 0.9471028645833334}, {"start": 3173.21, "end": 3173.41, "word": " من", "probability": 0.9892578125}, {"start": 3173.41, "end": 3173.81, "word": " هنا", "probability": 0.9775390625}, {"start": 3173.81, "end": 3174.33, "word": " خلّي", "probability": 0.6981201171875}, {"start": 3174.33, "end": 3174.49, "word": " أتي", "probability": 0.3798828125}, {"start": 3174.49, "end": 3174.79, "word": " نشوف", "probability": 0.7809244791666666}, {"start": 3174.79, "end": 3175.09, "word": " لكم", "probability": 0.594482421875}, {"start": 3175.09, "end": 3175.45, "word": " إياه", "probability": 0.67529296875}, {"start": 3175.45, "end": 3175.67, "word": " كيف", "probability": 0.96044921875}, {"start": 3175.67, "end": 3176.09, "word": " بيختلف", "probability": 0.73651123046875}, {"start": 3176.09, "end": 3177.07, "word": " الان", "probability": 0.5843505859375}, {"start": 3177.07, "end": 3178.13, "word": " for", "probability": 0.68701171875}, {"start": 3178.13, "end": 3178.71, "word": " a", "probability": 0.79052734375}], "temperature": 1.0}, {"id": 143, "seek": 320436, "start": 3179.6, "end": 3204.36, "text": "أصغر من مين من واحد لما تكون a أصغر من واحد بدا تبتلكوا يا له from national exam is not absolutely convergent a أصغر من واحد معناته أنه في بينهم a واحد خلجينا نقول a أصغر من واحد لإنه between any two real numbers there exists a real number اللي هو a واحد بين ال a و بين اللي هو مين الواحد اللي عالية epsilon a واحد ناقص a", "tokens": [10721, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 36764, 24401, 5296, 15042, 6055, 30544, 257, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 4724, 28259, 6055, 3555, 2655, 23275, 14407, 35186, 46740, 490, 4048, 1139, 307, 406, 3122, 9652, 6930, 257, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 20449, 8315, 47395, 14739, 3224, 8978, 49374, 16095, 257, 36764, 24401, 16490, 1211, 7435, 1829, 8315, 8717, 39648, 257, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 5296, 28814, 1863, 3224, 1296, 604, 732, 957, 3547, 456, 8198, 257, 957, 1230, 13672, 1829, 31439, 257, 36764, 24401, 49374, 2423, 257, 4032, 49374, 13672, 1829, 31439, 3714, 9957, 2423, 14407, 24401, 13672, 1829, 6225, 6027, 10632, 17889, 257, 36764, 24401, 8717, 995, 4587, 9381, 257], "avg_logprob": -0.2489669559415707, "compression_ratio": 1.873015873015873, "no_speech_prob": 2.384185791015625e-06, "words": [{"start": 3179.6, "end": 3180.16, "word": "أصغر", "probability": 0.939453125}, {"start": 3180.16, "end": 3180.36, "word": " من", "probability": 0.99072265625}, {"start": 3180.36, "end": 3180.86, "word": " مين", "probability": 0.76318359375}, {"start": 3180.86, "end": 3181.24, "word": " من", "probability": 0.6484375}, {"start": 3181.24, "end": 3181.68, "word": " واحد", "probability": 0.970703125}, {"start": 3181.68, "end": 3182.26, "word": " لما", "probability": 0.777099609375}, {"start": 3182.26, "end": 3182.6, "word": " تكون", "probability": 0.988525390625}, {"start": 3182.6, "end": 3182.78, "word": " a", "probability": 0.5361328125}, {"start": 3182.78, "end": 3183.1, "word": " أصغر", "probability": 0.97802734375}, {"start": 3183.1, "end": 3183.22, "word": " من", "probability": 0.994140625}, {"start": 3183.22, "end": 3183.58, "word": " واحد", "probability": 0.95458984375}, {"start": 3183.58, "end": 3183.86, "word": " بدا", "probability": 0.2064208984375}, {"start": 3183.86, "end": 3184.42, "word": " تبتلكوا", "probability": 0.719921875}, {"start": 3184.42, "end": 3184.54, "word": " يا", "probability": 0.31640625}, {"start": 3184.54, "end": 3184.68, "word": " له", "probability": 0.13671875}, {"start": 3184.68, "end": 3184.86, "word": " from", "probability": 0.27490234375}, {"start": 3184.86, "end": 3185.14, "word": " national", "probability": 0.133544921875}, {"start": 3185.14, "end": 3185.46, "word": " exam", "probability": 0.47314453125}, {"start": 3185.46, "end": 3185.72, "word": " is", "probability": 0.705078125}, {"start": 3185.72, "end": 3186.04, "word": " not", "probability": 0.94775390625}, {"start": 3186.04, "end": 3186.76, "word": " absolutely", "probability": 0.62060546875}, {"start": 3186.76, "end": 3187.64, "word": " convergent", "probability": 0.9091796875}, {"start": 3187.64, "end": 3188.3, "word": " a", "probability": 0.810546875}, {"start": 3188.3, "end": 3188.62, "word": " أصغر", "probability": 0.9884033203125}, {"start": 3188.62, "end": 3188.76, "word": " من", "probability": 0.99609375}, {"start": 3188.76, "end": 3189.08, "word": " واحد", "probability": 0.993896484375}, {"start": 3189.08, "end": 3189.74, "word": " معناته", "probability": 0.97802734375}, {"start": 3189.74, "end": 3190.12, "word": " أنه", "probability": 0.683349609375}, {"start": 3190.12, "end": 3190.42, "word": " في", "probability": 0.9326171875}, {"start": 3190.42, "end": 3191.6, "word": " بينهم", "probability": 0.95556640625}, {"start": 3191.6, "end": 3191.82, "word": " a", "probability": 0.90966796875}, {"start": 3191.82, "end": 3192.3, "word": " واحد", "probability": 0.945068359375}, {"start": 3192.3, "end": 3193.28, "word": " خلجينا", "probability": 0.835107421875}, {"start": 3193.28, "end": 3193.54, "word": " نقول", "probability": 0.9765625}, {"start": 3193.54, "end": 3193.84, "word": " a", "probability": 0.880859375}, {"start": 3193.84, "end": 3194.22, "word": " أصغر", "probability": 0.9794921875}, {"start": 3194.22, "end": 3194.32, "word": " من", "probability": 0.77099609375}, {"start": 3194.32, "end": 3194.36, "word": " واحد", "probability": 0.810791015625}, {"start": 3194.36, "end": 3194.68, "word": " لإنه", "probability": 0.70770263671875}, {"start": 3194.68, "end": 3194.88, "word": " between", "probability": 0.89599609375}, {"start": 3194.88, "end": 3195.12, "word": " any", "probability": 0.88671875}, {"start": 3195.12, "end": 3195.26, "word": " two", "probability": 0.900390625}, {"start": 3195.26, "end": 3195.5, "word": " real", "probability": 0.93212890625}, {"start": 3195.5, "end": 3195.88, "word": " numbers", "probability": 0.767578125}, {"start": 3195.88, "end": 3196.14, "word": " there", "probability": 0.78662109375}, {"start": 3196.14, "end": 3196.34, "word": " exists", "probability": 0.5703125}, {"start": 3196.34, "end": 3196.52, "word": " a", "probability": 0.96875}, {"start": 3196.52, "end": 3196.68, "word": " real", "probability": 0.9365234375}, {"start": 3196.68, "end": 3197.2, "word": " number", "probability": 0.96728515625}, {"start": 3197.2, "end": 3197.8, "word": " اللي", "probability": 0.90869140625}, {"start": 3197.8, "end": 3198.12, "word": " هو", "probability": 0.97119140625}, {"start": 3198.12, "end": 3198.76, "word": " a", "probability": 0.958984375}, {"start": 3198.76, "end": 3199.12, "word": " واحد", "probability": 0.941650390625}, {"start": 3199.12, "end": 3199.36, "word": " بين", "probability": 0.978515625}, {"start": 3199.36, "end": 3199.54, "word": " ال", "probability": 0.9287109375}, {"start": 3199.54, "end": 3199.76, "word": " a", "probability": 0.8515625}, {"start": 3199.76, "end": 3199.98, "word": " و", "probability": 0.80859375}, {"start": 3199.98, "end": 3200.26, "word": " بين", "probability": 0.8994140625}, {"start": 3200.26, "end": 3200.44, "word": " اللي", "probability": 0.912353515625}, {"start": 3200.44, "end": 3200.68, "word": " هو", "probability": 0.9951171875}, {"start": 3200.68, "end": 3201.08, "word": " مين", "probability": 0.811767578125}, {"start": 3201.08, "end": 3201.64, "word": " الواحد", "probability": 0.8512369791666666}, {"start": 3201.64, "end": 3202.1, "word": " اللي", "probability": 0.6693115234375}, {"start": 3202.1, "end": 3202.52, "word": " عالية", "probability": 0.6009114583333334}, {"start": 3202.52, "end": 3203.02, "word": " epsilon", "probability": 0.2110595703125}, {"start": 3203.02, "end": 3203.32, "word": " a", "probability": 0.91259765625}, {"start": 3203.32, "end": 3203.7, "word": " واحد", "probability": 0.97998046875}, {"start": 3203.7, "end": 3204.16, "word": " ناقص", "probability": 0.9189453125}, {"start": 3204.16, "end": 3204.36, "word": " a", "probability": 0.75537109375}], "temperature": 1.0}, {"id": 144, "seek": 323127, "start": 3204.83, "end": 3231.27, "text": "A1-A وهي أكبر من 0 وكله نفسه زي ما هو there exists such that هذا المقدار أصغر من A 1-A هو أكبر من اللي هو سالبه اللي هو A-A1 هذا المنطقة بديش إياها باخد المنطقة هذه بصير عندي اللي هو زي ما عملنا قبل بالظبط بصير عندي هذا المقدار و بجيب هذا ال A هام بصير أصغر", "tokens": [32, 16, 12, 32, 37037, 1829, 5551, 4117, 26890, 9154, 1958, 4032, 28820, 3224, 8717, 36178, 3224, 30767, 1829, 19446, 31439, 456, 8198, 1270, 300, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 9154, 316, 502, 12, 32, 31439, 5551, 4117, 26890, 9154, 13672, 1829, 31439, 8608, 6027, 3555, 3224, 13672, 1829, 31439, 316, 12, 32, 16, 23758, 9673, 1863, 9566, 28671, 4724, 16254, 8592, 11933, 25528, 11296, 4724, 47283, 3215, 9673, 1863, 9566, 28671, 29538, 4724, 9381, 13546, 18871, 16254, 13672, 1829, 31439, 30767, 1829, 19446, 6225, 42213, 8315, 12174, 36150, 20666, 19913, 3555, 9566, 4724, 9381, 13546, 18871, 16254, 23758, 9673, 28543, 9640, 4032, 4724, 7435, 1829, 3555, 23758, 2423, 316, 8032, 10943, 4724, 9381, 13546, 5551, 9381, 17082, 2288], "avg_logprob": -0.23971035906939003, "compression_ratio": 1.9495412844036697, "no_speech_prob": 1.6629695892333984e-05, "words": [{"start": 3204.83, "end": 3205.45, "word": "A1", "probability": 0.54345703125}, {"start": 3205.45, "end": 3206.53, "word": "-A", "probability": 0.6204833984375}, {"start": 3206.53, "end": 3206.81, "word": " وهي", "probability": 0.35823822021484375}, {"start": 3206.81, "end": 3207.09, "word": " أكبر", "probability": 0.93603515625}, {"start": 3207.09, "end": 3207.27, "word": " من", "probability": 0.9853515625}, {"start": 3207.27, "end": 3207.47, "word": " 0", "probability": 0.66748046875}, {"start": 3207.47, "end": 3208.65, "word": " وكله", "probability": 0.5851643880208334}, {"start": 3208.65, "end": 3208.95, "word": " نفسه", "probability": 0.9698893229166666}, {"start": 3208.95, "end": 3209.09, "word": " زي", "probability": 0.811279296875}, {"start": 3209.09, "end": 3209.15, "word": " ما", "probability": 0.9677734375}, {"start": 3209.15, "end": 3209.29, "word": " هو", "probability": 0.94189453125}, {"start": 3209.29, "end": 3209.45, "word": " there", "probability": 0.6845703125}, {"start": 3209.45, "end": 3209.73, "word": " exists", "probability": 0.49267578125}, {"start": 3209.73, "end": 3210.01, "word": " such", "probability": 0.30859375}, {"start": 3210.01, "end": 3210.57, "word": " that", "probability": 0.8427734375}, {"start": 3210.57, "end": 3211.13, "word": " هذا", "probability": 0.69677734375}, {"start": 3211.13, "end": 3211.89, "word": " المقدار", "probability": 0.9127604166666666}, {"start": 3211.89, "end": 3212.33, "word": " أصغر", "probability": 0.9410400390625}, {"start": 3212.33, "end": 3213.23, "word": " من", "probability": 0.7041015625}, {"start": 3213.23, "end": 3213.79, "word": " A", "probability": 0.77490234375}, {"start": 3213.79, "end": 3214.69, "word": " 1", "probability": 0.2362060546875}, {"start": 3214.69, "end": 3216.25, "word": "-A", "probability": 0.748779296875}, {"start": 3216.25, "end": 3216.81, "word": " هو", "probability": 0.305908203125}, {"start": 3216.81, "end": 3217.31, "word": " أكبر", "probability": 0.97998046875}, {"start": 3217.31, "end": 3217.61, "word": " من", "probability": 0.9921875}, {"start": 3217.61, "end": 3217.81, "word": " اللي", "probability": 0.6314697265625}, {"start": 3217.81, "end": 3218.03, "word": " هو", "probability": 0.97802734375}, {"start": 3218.03, "end": 3218.75, "word": " سالبه", "probability": 0.8612060546875}, {"start": 3218.75, "end": 3219.13, "word": " اللي", "probability": 0.9560546875}, {"start": 3219.13, "end": 3219.25, "word": " هو", "probability": 0.9755859375}, {"start": 3219.25, "end": 3219.45, "word": " A", "probability": 0.712890625}, {"start": 3219.45, "end": 3220.39, "word": "-A1", "probability": 0.7400716145833334}, {"start": 3220.39, "end": 3220.93, "word": " هذا", "probability": 0.474609375}, {"start": 3220.93, "end": 3221.37, "word": " المنطقة", "probability": 0.8775634765625}, {"start": 3221.37, "end": 3221.79, "word": " بديش", "probability": 0.6175130208333334}, {"start": 3221.79, "end": 3222.17, "word": " إياها", "probability": 0.8206380208333334}, {"start": 3222.17, "end": 3222.53, "word": " باخد", "probability": 0.8712565104166666}, {"start": 3222.53, "end": 3222.97, "word": " المنطقة", "probability": 0.967529296875}, {"start": 3222.97, "end": 3223.35, "word": " هذه", "probability": 0.81884765625}, {"start": 3223.35, "end": 3224.15, "word": " بصير", "probability": 0.8811848958333334}, {"start": 3224.15, "end": 3224.57, "word": " عندي", "probability": 0.665283203125}, {"start": 3224.57, "end": 3224.89, "word": " اللي", "probability": 0.986572265625}, {"start": 3224.89, "end": 3225.15, "word": " هو", "probability": 0.9912109375}, {"start": 3225.15, "end": 3225.37, "word": " زي", "probability": 0.97509765625}, {"start": 3225.37, "end": 3225.47, "word": " ما", "probability": 0.98828125}, {"start": 3225.47, "end": 3225.77, "word": " عملنا", "probability": 0.9866536458333334}, {"start": 3225.77, "end": 3226.01, "word": " قبل", "probability": 0.9052734375}, {"start": 3226.01, "end": 3226.63, "word": " بالظبط", "probability": 0.9666748046875}, {"start": 3226.63, "end": 3227.39, "word": " بصير", "probability": 0.9606119791666666}, {"start": 3227.39, "end": 3227.73, "word": " عندي", "probability": 0.9248046875}, {"start": 3227.73, "end": 3228.15, "word": " هذا", "probability": 0.95068359375}, {"start": 3228.15, "end": 3228.83, "word": " المقدار", "probability": 0.9900716145833334}, {"start": 3228.83, "end": 3228.93, "word": " و", "probability": 0.5419921875}, {"start": 3228.93, "end": 3229.25, "word": " بجيب", "probability": 0.8836669921875}, {"start": 3229.25, "end": 3229.49, "word": " هذا", "probability": 0.77978515625}, {"start": 3229.49, "end": 3229.63, "word": " ال", "probability": 0.9033203125}, {"start": 3229.63, "end": 3229.81, "word": " A", "probability": 0.371826171875}, {"start": 3229.81, "end": 3230.11, "word": " هام", "probability": 0.472900390625}, {"start": 3230.11, "end": 3230.75, "word": " بصير", "probability": 0.91650390625}, {"start": 3230.75, "end": 3231.27, "word": " أصغر", "probability": 0.9815673828125}], "temperature": 1.0}, {"id": 145, "seek": 325911, "start": 3231.63, "end": 3259.11, "text": "لما ناقص A تجهان بيصير زايد A مع ناقص A بروح بيصير أصغر من مين؟ من A واحد الآن هذا أصغر من A واحد إذا بيصير عندي بكسب الجهتين على N بيصير على N و هذه بنجلها على الجهة هذه و هذه بجيبها هنا بيصير واحد ناقص A واحد على N أصغر من absolute value XN زائد 1 على ال absolute لل XN بكون حصلنا على هذا المقدار أكبر من واحد ناقص A واحد على N", "tokens": [1211, 15042, 8717, 995, 4587, 9381, 316, 6055, 7435, 3224, 7649, 4724, 1829, 9381, 13546, 30767, 995, 25708, 316, 20449, 8717, 995, 4587, 9381, 316, 4724, 32887, 5016, 4724, 1829, 9381, 13546, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 22807, 9154, 316, 36764, 24401, 6024, 48506, 23758, 5551, 9381, 17082, 2288, 9154, 316, 36764, 24401, 11933, 15730, 4724, 1829, 9381, 13546, 18871, 16254, 4724, 4117, 35457, 25724, 3224, 2655, 9957, 15844, 426, 4724, 1829, 9381, 13546, 15844, 426, 4032, 29538, 44945, 7435, 1211, 11296, 15844, 25724, 3224, 3660, 29538, 4032, 29538, 4724, 7435, 1829, 3555, 11296, 34105, 4724, 1829, 9381, 13546, 36764, 24401, 8717, 995, 4587, 9381, 316, 36764, 24401, 15844, 426, 5551, 9381, 17082, 2288, 9154, 8236, 2158, 1783, 45, 30767, 16373, 3215, 502, 15844, 2423, 8236, 24976, 1783, 45, 4724, 30544, 11331, 36520, 8315, 15844, 23758, 9673, 28543, 9640, 5551, 4117, 26890, 9154, 36764, 24401, 8717, 995, 4587, 9381, 316, 36764, 24401, 15844, 426], "avg_logprob": -0.18531051562849882, "compression_ratio": 2.2285714285714286, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 3231.63, "end": 3231.95, "word": "لما", "probability": 0.85498046875}, {"start": 3231.95, "end": 3232.43, "word": " ناقص", "probability": 0.7603759765625}, {"start": 3232.43, "end": 3232.53, "word": " A", "probability": 0.2352294921875}, {"start": 3232.53, "end": 3232.93, "word": " تجهان", "probability": 0.55755615234375}, {"start": 3232.93, "end": 3233.21, "word": " بيصير", "probability": 0.87646484375}, {"start": 3233.21, "end": 3233.53, "word": " زايد", "probability": 0.6068522135416666}, {"start": 3233.53, "end": 3233.63, "word": " A", "probability": 0.90087890625}, {"start": 3233.63, "end": 3233.79, "word": " مع", "probability": 0.96484375}, {"start": 3233.79, "end": 3234.13, "word": " ناقص", "probability": 0.9827880859375}, {"start": 3234.13, "end": 3234.21, "word": " A", "probability": 0.97021484375}, {"start": 3234.21, "end": 3234.49, "word": " بروح", "probability": 0.8761393229166666}, {"start": 3234.49, "end": 3234.79, "word": " بيصير", "probability": 0.914794921875}, {"start": 3234.79, "end": 3235.11, "word": " أصغر", "probability": 0.9473876953125}, {"start": 3235.11, "end": 3235.29, "word": " من", "probability": 0.994140625}, {"start": 3235.29, "end": 3235.95, "word": " مين؟", "probability": 0.7858072916666666}, {"start": 3235.95, "end": 3236.27, "word": " من", "probability": 0.9736328125}, {"start": 3236.27, "end": 3236.53, "word": " A", "probability": 0.85009765625}, {"start": 3236.53, "end": 3237.01, "word": " واحد", "probability": 0.703125}, {"start": 3237.01, "end": 3237.93, "word": " الآن", "probability": 0.57415771484375}, {"start": 3237.93, "end": 3238.25, "word": " هذا", "probability": 0.87646484375}, {"start": 3238.25, "end": 3238.57, "word": " أصغر", "probability": 0.9849853515625}, {"start": 3238.57, "end": 3238.71, "word": " من", "probability": 0.9931640625}, {"start": 3238.71, "end": 3238.83, "word": " A", "probability": 0.95751953125}, {"start": 3238.83, "end": 3239.33, "word": " واحد", "probability": 0.990966796875}, {"start": 3239.33, "end": 3239.87, "word": " إذا", "probability": 0.71533203125}, {"start": 3239.87, "end": 3240.27, "word": " بيصير", "probability": 0.9312744140625}, {"start": 3240.27, "end": 3240.55, "word": " عندي", "probability": 0.6424560546875}, {"start": 3240.55, "end": 3240.85, "word": " بكسب", "probability": 0.7496744791666666}, {"start": 3240.85, "end": 3241.29, "word": " الجهتين", "probability": 0.943359375}, {"start": 3241.29, "end": 3241.45, "word": " على", "probability": 0.9013671875}, {"start": 3241.45, "end": 3241.61, "word": " N", "probability": 0.7626953125}, {"start": 3241.61, "end": 3241.93, "word": " بيصير", "probability": 0.971435546875}, {"start": 3241.93, "end": 3242.13, "word": " على", "probability": 0.84375}, {"start": 3242.13, "end": 3242.45, "word": " N", "probability": 0.9658203125}, {"start": 3242.45, "end": 3243.07, "word": " و", "probability": 0.53662109375}, {"start": 3243.07, "end": 3243.49, "word": " هذه", "probability": 0.487060546875}, {"start": 3243.49, "end": 3244.15, "word": " بنجلها", "probability": 0.713134765625}, {"start": 3244.15, "end": 3244.31, "word": " على", "probability": 0.896484375}, {"start": 3244.31, "end": 3244.71, "word": " الجهة", "probability": 0.9645182291666666}, {"start": 3244.71, "end": 3245.03, "word": " هذه", "probability": 0.89111328125}, {"start": 3245.03, "end": 3245.21, "word": " و", "probability": 0.716796875}, {"start": 3245.21, "end": 3245.41, "word": " هذه", "probability": 0.755859375}, {"start": 3245.41, "end": 3245.89, "word": " بجيبها", "probability": 0.96943359375}, {"start": 3245.89, "end": 3246.09, "word": " هنا", "probability": 0.287841796875}, {"start": 3246.09, "end": 3246.71, "word": " بيصير", "probability": 0.9571533203125}, {"start": 3246.71, "end": 3247.07, "word": " واحد", "probability": 0.832275390625}, {"start": 3247.07, "end": 3247.61, "word": " ناقص", "probability": 0.9735107421875}, {"start": 3247.61, "end": 3247.79, "word": " A", "probability": 0.9638671875}, {"start": 3247.79, "end": 3248.23, "word": " واحد", "probability": 0.9814453125}, {"start": 3248.23, "end": 3248.41, "word": " على", "probability": 0.912109375}, {"start": 3248.41, "end": 3248.73, "word": " N", "probability": 0.9921875}, {"start": 3248.73, "end": 3249.59, "word": " أصغر", "probability": 0.991455078125}, {"start": 3249.59, "end": 3249.69, "word": " من", "probability": 0.99365234375}, {"start": 3249.69, "end": 3250.03, "word": " absolute", "probability": 0.384765625}, {"start": 3250.03, "end": 3250.43, "word": " value", "probability": 0.98876953125}, {"start": 3250.43, "end": 3250.87, "word": " XN", "probability": 0.67333984375}, {"start": 3250.87, "end": 3251.21, "word": " زائد", "probability": 0.8863932291666666}, {"start": 3251.21, "end": 3251.57, "word": " 1", "probability": 0.61962890625}, {"start": 3251.57, "end": 3252.21, "word": " على", "probability": 0.7490234375}, {"start": 3252.21, "end": 3252.35, "word": " ال", "probability": 0.88818359375}, {"start": 3252.35, "end": 3252.81, "word": " absolute", "probability": 0.81201171875}, {"start": 3252.81, "end": 3253.07, "word": " لل", "probability": 0.46435546875}, {"start": 3253.07, "end": 3253.63, "word": " XN", "probability": 0.925537109375}, {"start": 3253.63, "end": 3254.27, "word": " بكون", "probability": 0.759033203125}, {"start": 3254.27, "end": 3255.27, "word": " حصلنا", "probability": 0.9007161458333334}, {"start": 3255.27, "end": 3255.77, "word": " على", "probability": 0.951171875}, {"start": 3255.77, "end": 3255.99, "word": " هذا", "probability": 0.96630859375}, {"start": 3255.99, "end": 3256.45, "word": " المقدار", "probability": 0.884765625}, {"start": 3256.45, "end": 3256.81, "word": " أكبر", "probability": 0.9684244791666666}, {"start": 3256.81, "end": 3256.99, "word": " من", "probability": 0.994140625}, {"start": 3256.99, "end": 3257.35, "word": " واحد", "probability": 0.916259765625}, {"start": 3257.35, "end": 3258.07, "word": " ناقص", "probability": 0.924072265625}, {"start": 3258.07, "end": 3258.29, "word": " A", "probability": 0.9833984375}, {"start": 3258.29, "end": 3258.69, "word": " واحد", "probability": 0.986572265625}, {"start": 3258.69, "end": 3258.81, "word": " على", "probability": 0.86474609375}, {"start": 3258.81, "end": 3259.11, "word": " N", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 146, "seek": 328539, "start": 3259.39, "end": 3285.39, "text": "وهذا اللي هو لكل N أكبر أو يساوي K إذا حسب B في رقاب ال test بما أن A واحد اللي هي أصغر من واحد إذا هذه اللي هي ال series اللي هي summation لل X absolute value XN is not convergent أو بمعنى أخر summation لل XN is not absolutely convergent إذا ال exercise هذا هيني وضحتلكم يا هان طيب", "tokens": [2407, 3224, 15730, 13672, 1829, 31439, 5296, 28820, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 591, 11933, 15730, 11331, 35457, 363, 8978, 12602, 4587, 16758, 2423, 1500, 4724, 15042, 14739, 316, 36764, 24401, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 9154, 36764, 24401, 11933, 15730, 29538, 13672, 1829, 39896, 2423, 2638, 13672, 1829, 39896, 28811, 24976, 1783, 8236, 2158, 1783, 45, 307, 406, 9652, 6930, 34051, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 28811, 24976, 1783, 45, 307, 406, 3122, 9652, 6930, 11933, 15730, 2423, 5380, 23758, 8032, 9957, 1829, 4032, 11242, 33753, 23275, 2304, 35186, 8032, 7649, 23032, 1829, 3555], "avg_logprob": -0.23512620206635731, "compression_ratio": 1.677685950413223, "no_speech_prob": 3.0100345611572266e-05, "words": [{"start": 3259.39, "end": 3260.25, "word": "وهذا", "probability": 0.8038736979166666}, {"start": 3260.25, "end": 3260.51, "word": " اللي", "probability": 0.87451171875}, {"start": 3260.51, "end": 3260.91, "word": " هو", "probability": 0.984375}, {"start": 3260.91, "end": 3261.43, "word": " لكل", "probability": 0.96728515625}, {"start": 3261.43, "end": 3261.75, "word": " N", "probability": 0.3955078125}, {"start": 3261.75, "end": 3262.27, "word": " أكبر", "probability": 0.90966796875}, {"start": 3262.27, "end": 3262.41, "word": " أو", "probability": 0.7861328125}, {"start": 3262.41, "end": 3262.81, "word": " يساوي", "probability": 0.925537109375}, {"start": 3262.81, "end": 3263.17, "word": " K", "probability": 0.81396484375}, {"start": 3263.17, "end": 3263.71, "word": " إذا", "probability": 0.6004638671875}, {"start": 3263.71, "end": 3264.15, "word": " حسب", "probability": 0.974853515625}, {"start": 3264.15, "end": 3264.53, "word": " B", "probability": 0.278564453125}, {"start": 3264.53, "end": 3264.71, "word": " في", "probability": 0.50048828125}, {"start": 3264.71, "end": 3265.09, "word": " رقاب", "probability": 0.4982096354166667}, {"start": 3265.09, "end": 3265.27, "word": " ال", "probability": 0.63427734375}, {"start": 3265.27, "end": 3265.65, "word": " test", "probability": 0.64697265625}, {"start": 3265.65, "end": 3266.53, "word": " بما", "probability": 0.9287109375}, {"start": 3266.53, "end": 3266.75, "word": " أن", "probability": 0.64306640625}, {"start": 3266.75, "end": 3266.97, "word": " A", "probability": 0.7646484375}, {"start": 3266.97, "end": 3267.49, "word": " واحد", "probability": 0.6368408203125}, {"start": 3267.49, "end": 3267.65, "word": " اللي", "probability": 0.79150390625}, {"start": 3267.65, "end": 3267.85, "word": " هي", "probability": 0.8017578125}, {"start": 3267.85, "end": 3268.29, "word": " أصغر", "probability": 0.9862060546875}, {"start": 3268.29, "end": 3268.45, "word": " من", "probability": 0.98876953125}, {"start": 3268.45, "end": 3268.99, "word": " واحد", "probability": 0.8974609375}, {"start": 3268.99, "end": 3269.65, "word": " إذا", "probability": 0.870361328125}, {"start": 3269.65, "end": 3270.19, "word": " هذه", "probability": 0.6865234375}, {"start": 3270.19, "end": 3270.43, "word": " اللي", "probability": 0.9453125}, {"start": 3270.43, "end": 3270.59, "word": " هي", "probability": 0.90771484375}, {"start": 3270.59, "end": 3270.73, "word": " ال", "probability": 0.8115234375}, {"start": 3270.73, "end": 3271.17, "word": " series", "probability": 0.80419921875}, {"start": 3271.17, "end": 3271.77, "word": " اللي", "probability": 0.883544921875}, {"start": 3271.77, "end": 3271.97, "word": " هي", "probability": 0.9580078125}, {"start": 3271.97, "end": 3272.41, "word": " summation", "probability": 0.525390625}, {"start": 3272.41, "end": 3272.67, "word": " لل", "probability": 0.50830078125}, {"start": 3272.67, "end": 3272.97, "word": " X", "probability": 0.87841796875}, {"start": 3272.97, "end": 3273.45, "word": " absolute", "probability": 0.60498046875}, {"start": 3273.45, "end": 3273.83, "word": " value", "probability": 0.9765625}, {"start": 3273.83, "end": 3274.21, "word": " XN", "probability": 0.553466796875}, {"start": 3274.21, "end": 3274.83, "word": " is", "probability": 0.85888671875}, {"start": 3274.83, "end": 3275.07, "word": " not", "probability": 0.95361328125}, {"start": 3275.07, "end": 3275.67, "word": " convergent", "probability": 0.969482421875}, {"start": 3275.67, "end": 3275.81, "word": " أو", "probability": 0.82958984375}, {"start": 3275.81, "end": 3276.17, "word": " بمعنى", "probability": 0.98046875}, {"start": 3276.17, "end": 3276.41, "word": " أخر", "probability": 0.730712890625}, {"start": 3276.41, "end": 3276.81, "word": " summation", "probability": 0.6806640625}, {"start": 3276.81, "end": 3277.07, "word": " لل", "probability": 0.8701171875}, {"start": 3277.07, "end": 3277.47, "word": " XN", "probability": 0.937255859375}, {"start": 3277.47, "end": 3277.85, "word": " is", "probability": 0.95947265625}, {"start": 3277.85, "end": 3278.19, "word": " not", "probability": 0.94775390625}, {"start": 3278.19, "end": 3278.99, "word": " absolutely", "probability": 0.68212890625}, {"start": 3278.99, "end": 3279.99, "word": " convergent", "probability": 0.970947265625}, {"start": 3279.99, "end": 3280.19, "word": " إذا", "probability": 0.8349609375}, {"start": 3280.19, "end": 3280.29, "word": " ال", "probability": 0.87939453125}, {"start": 3280.29, "end": 3280.69, "word": " exercise", "probability": 0.826171875}, {"start": 3280.69, "end": 3281.23, "word": " هذا", "probability": 0.88330078125}, {"start": 3281.23, "end": 3281.83, "word": " هيني", "probability": 0.6547037760416666}, {"start": 3281.83, "end": 3282.67, "word": " وضحتلكم", "probability": 0.8630859375}, {"start": 3282.67, "end": 3283.05, "word": " يا", "probability": 0.3515625}, {"start": 3283.05, "end": 3283.75, "word": " هان", "probability": 0.5916748046875}, {"start": 3283.75, "end": 3285.39, "word": " طيب", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 147, "seek": 331701, "start": 3287.45, "end": 3317.01, "text": "لأن في حالة اللي هي إلا إيه بالساعة واحد قولنا No conclusion where either convergence or divergence is possible طيب خلينا نشوف اللي هو examples على اللي هي الـ Raab's test هنرجع لمين، هنرجع اللي هو الـ B series تبعنا ونشوف كيف نوضح اللي هو ال test تبعنا الـ Raab's test أو الـ Corollary اللي عليه كيف اللي هو نستخدمها عندنا في أمثلتنا", "tokens": [1211, 33456, 8978, 11331, 6027, 3660, 13672, 1829, 39896, 11933, 15040, 11933, 1829, 3224, 20666, 3794, 995, 27884, 36764, 24401, 12174, 12610, 8315, 883, 10063, 689, 2139, 32181, 420, 47387, 307, 1944, 23032, 1829, 3555, 16490, 1211, 9957, 995, 8717, 8592, 38688, 13672, 1829, 31439, 5110, 15844, 13672, 1829, 39896, 2423, 39184, 7591, 455, 311, 1500, 8032, 1863, 47341, 3615, 32767, 9957, 12399, 8032, 1863, 47341, 3615, 13672, 1829, 31439, 2423, 39184, 363, 2638, 6055, 3555, 3615, 8315, 4032, 1863, 8592, 38688, 9122, 33911, 8717, 2407, 11242, 5016, 13672, 1829, 31439, 2423, 1500, 6055, 3555, 3615, 8315, 2423, 39184, 7591, 455, 311, 1500, 34051, 2423, 39184, 3925, 1833, 822, 13672, 1829, 47356, 9122, 33911, 13672, 1829, 31439, 8717, 14851, 9778, 40448, 11296, 43242, 8315, 8978, 5551, 2304, 12984, 1211, 2655, 8315], "avg_logprob": -0.24952650386275668, "compression_ratio": 1.8057553956834533, "no_speech_prob": 0.34716796875, "words": [{"start": 3287.45, "end": 3287.93, "word": "لأن", "probability": 0.6173095703125}, {"start": 3287.93, "end": 3288.93, "word": " في", "probability": 0.89990234375}, {"start": 3288.93, "end": 3289.33, "word": " حالة", "probability": 0.978515625}, {"start": 3289.33, "end": 3289.47, "word": " اللي", "probability": 0.83642578125}, {"start": 3289.47, "end": 3289.65, "word": " هي", "probability": 0.93701171875}, {"start": 3289.65, "end": 3289.85, "word": " إلا", "probability": 0.2247314453125}, {"start": 3289.85, "end": 3289.97, "word": " إيه", "probability": 0.78466796875}, {"start": 3289.97, "end": 3290.27, "word": " بالساعة", "probability": 0.6585693359375}, {"start": 3290.27, "end": 3290.47, "word": " واحد", "probability": 0.901611328125}, {"start": 3290.47, "end": 3290.85, "word": " قولنا", "probability": 0.712890625}, {"start": 3290.85, "end": 3291.13, "word": " No", "probability": 0.1944580078125}, {"start": 3291.13, "end": 3292.21, "word": " conclusion", "probability": 0.80419921875}, {"start": 3292.21, "end": 3292.93, "word": " where", "probability": 0.80126953125}, {"start": 3292.93, "end": 3293.39, "word": " either", "probability": 0.9208984375}, {"start": 3293.39, "end": 3293.95, "word": " convergence", "probability": 0.9599609375}, {"start": 3293.95, "end": 3294.29, "word": " or", "probability": 0.80908203125}, {"start": 3294.29, "end": 3294.87, "word": " divergence", "probability": 0.96875}, {"start": 3294.87, "end": 3295.57, "word": " is", "probability": 0.96484375}, {"start": 3295.57, "end": 3296.49, "word": " possible", "probability": 0.958984375}, {"start": 3296.49, "end": 3297.25, "word": " طيب", "probability": 0.8800455729166666}, {"start": 3297.25, "end": 3297.57, "word": " خلينا", "probability": 0.7032470703125}, {"start": 3297.57, "end": 3298.11, "word": " نشوف", "probability": 0.9964192708333334}, {"start": 3298.11, "end": 3298.43, "word": " اللي", "probability": 0.731689453125}, {"start": 3298.43, "end": 3298.77, "word": " هو", "probability": 0.9892578125}, {"start": 3298.77, "end": 3299.75, "word": " examples", "probability": 0.6728515625}, {"start": 3299.75, "end": 3300.49, "word": " على", "probability": 0.79345703125}, {"start": 3300.49, "end": 3300.77, "word": " اللي", "probability": 0.9775390625}, {"start": 3300.77, "end": 3300.93, "word": " هي", "probability": 0.9326171875}, {"start": 3300.93, "end": 3301.13, "word": " الـ", "probability": 0.35888671875}, {"start": 3301.13, "end": 3301.43, "word": " Raab's", "probability": 0.4653727213541667}, {"start": 3301.43, "end": 3301.73, "word": " test", "probability": 0.458251953125}, {"start": 3301.73, "end": 3302.67, "word": " هنرجع", "probability": 0.8736572265625}, {"start": 3302.67, "end": 3303.35, "word": " لمين،", "probability": 0.7071126302083334}, {"start": 3303.35, "end": 3303.85, "word": " هنرجع", "probability": 0.993896484375}, {"start": 3303.85, "end": 3304.41, "word": " اللي", "probability": 0.6239013671875}, {"start": 3304.41, "end": 3304.67, "word": " هو", "probability": 0.98046875}, {"start": 3304.67, "end": 3304.81, "word": " الـ", "probability": 0.734375}, {"start": 3304.81, "end": 3304.93, "word": " B", "probability": 0.374755859375}, {"start": 3304.93, "end": 3305.37, "word": " series", "probability": 0.705078125}, {"start": 3305.37, "end": 3305.91, "word": " تبعنا", "probability": 0.9095458984375}, {"start": 3305.91, "end": 3306.75, "word": " ونشوف", "probability": 0.932861328125}, {"start": 3306.75, "end": 3307.05, "word": " كيف", "probability": 0.983154296875}, {"start": 3307.05, "end": 3307.71, "word": " نوضح", "probability": 0.979736328125}, {"start": 3307.71, "end": 3308.01, "word": " اللي", "probability": 0.977294921875}, {"start": 3308.01, "end": 3308.33, "word": " هو", "probability": 0.99365234375}, {"start": 3308.33, "end": 3308.67, "word": " ال", "probability": 0.94482421875}, {"start": 3308.67, "end": 3308.97, "word": " test", "probability": 0.92041015625}, {"start": 3308.97, "end": 3309.61, "word": " تبعنا", "probability": 0.969482421875}, {"start": 3309.61, "end": 3310.19, "word": " الـ", "probability": 0.824951171875}, {"start": 3310.19, "end": 3310.59, "word": " Raab's", "probability": 0.88818359375}, {"start": 3310.59, "end": 3310.89, "word": " test", "probability": 0.85986328125}, {"start": 3310.89, "end": 3311.15, "word": " أو", "probability": 0.91455078125}, {"start": 3311.15, "end": 3311.33, "word": " الـ", "probability": 0.48236083984375}, {"start": 3311.33, "end": 3311.75, "word": " Corollary", "probability": 0.7242838541666666}, {"start": 3311.75, "end": 3311.95, "word": " اللي", "probability": 0.939208984375}, {"start": 3311.95, "end": 3312.23, "word": " عليه", "probability": 0.8984375}, {"start": 3312.23, "end": 3312.87, "word": " كيف", "probability": 0.84716796875}, {"start": 3312.87, "end": 3313.27, "word": " اللي", "probability": 0.856201171875}, {"start": 3313.27, "end": 3313.51, "word": " هو", "probability": 0.9921875}, {"start": 3313.51, "end": 3314.51, "word": " نستخدمها", "probability": 0.98896484375}, {"start": 3314.51, "end": 3315.69, "word": " عندنا", "probability": 0.87060546875}, {"start": 3315.69, "end": 3316.05, "word": " في", "probability": 0.91162109375}, {"start": 3316.05, "end": 3317.01, "word": " أمثلتنا", "probability": 0.97265625}], "temperature": 1.0}, {"id": 148, "seek": 333228, "start": 3317.52, "end": 3332.28, "text": "الان اخدنا ال limit على طول اللي هو ال X زائد N زائد واحد على ال Xان طبعا هذه جاهزة و positive أصلا", "tokens": [6027, 7649, 1975, 9778, 3215, 8315, 2423, 4948, 15844, 23032, 12610, 13672, 1829, 31439, 2423, 1783, 30767, 16373, 3215, 426, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 1783, 7649, 23032, 3555, 3615, 995, 29538, 10874, 40294, 11622, 3660, 4032, 3353, 5551, 9381, 15040], "avg_logprob": -0.411221597682346, "compression_ratio": 1.2903225806451613, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 3317.52, "end": 3317.8, "word": "الان", "probability": 0.61767578125}, {"start": 3317.8, "end": 3325.12, "word": " اخدنا", "probability": 0.569244384765625}, {"start": 3325.12, "end": 3325.2, "word": " ال", "probability": 0.49560546875}, {"start": 3325.2, "end": 3325.48, "word": " limit", "probability": 0.7353515625}, {"start": 3325.48, "end": 3326.2, "word": " على", "probability": 0.423583984375}, {"start": 3326.2, "end": 3326.56, "word": " طول", "probability": 0.98291015625}, {"start": 3326.56, "end": 3327.2, "word": " اللي", "probability": 0.648193359375}, {"start": 3327.2, "end": 3327.34, "word": " هو", "probability": 0.9443359375}, {"start": 3327.34, "end": 3327.48, "word": " ال", "probability": 0.1708984375}, {"start": 3327.48, "end": 3327.64, "word": " X", "probability": 0.490234375}, {"start": 3327.64, "end": 3327.92, "word": " زائد", "probability": 0.7376302083333334}, {"start": 3327.92, "end": 3328.08, "word": " N", "probability": 0.64501953125}, {"start": 3328.08, "end": 3328.38, "word": " زائد", "probability": 0.9326171875}, {"start": 3328.38, "end": 3328.62, "word": " واحد", "probability": 0.828369140625}, {"start": 3328.62, "end": 3328.78, "word": " على", "probability": 0.52880859375}, {"start": 3328.78, "end": 3328.92, "word": " ال", "probability": 0.55517578125}, {"start": 3328.92, "end": 3329.26, "word": " Xان", "probability": 0.5955810546875}, {"start": 3329.26, "end": 3329.58, "word": " طبعا", "probability": 0.915771484375}, {"start": 3329.58, "end": 3329.88, "word": " هذه", "probability": 0.50634765625}, {"start": 3329.88, "end": 3331.06, "word": " جاهزة", "probability": 0.8763427734375}, {"start": 3331.06, "end": 3331.36, "word": " و", "probability": 0.180419921875}, {"start": 3331.36, "end": 3331.76, "word": " positive", "probability": 0.7900390625}, {"start": 3331.76, "end": 3332.28, "word": " أصلا", "probability": 0.8113606770833334}], "temperature": 1.0}, {"id": 149, "seek": 334956, "start": 3332.74, "end": 3349.56, "text": "بصير عندى اللى هو xn زائد واحد على ال xn واحد ناقصها في n حسبتها و يساوي limit n في واحد ناقص واحد ال n غلبتها صارت nb على واحد n زائد واحد الكل اس بيه و يساوي limit عندى ال n", "tokens": [3555, 9381, 13546, 43242, 7578, 13672, 7578, 31439, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 2031, 77, 36764, 24401, 8717, 995, 4587, 9381, 11296, 8978, 297, 11331, 35457, 2655, 11296, 4032, 7251, 3794, 995, 45865, 4948, 297, 8978, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 2423, 297, 32771, 46152, 2655, 11296, 20328, 9640, 2655, 297, 65, 15844, 36764, 24401, 297, 30767, 16373, 3215, 36764, 24401, 2423, 28820, 24525, 4724, 1829, 3224, 4032, 7251, 3794, 995, 45865, 4948, 43242, 7578, 2423, 297], "avg_logprob": -0.2919117703157313, "compression_ratio": 1.8823529411764706, "no_speech_prob": 3.6597251892089844e-05, "words": [{"start": 3332.74, "end": 3333.12, "word": "بصير", "probability": 0.65966796875}, {"start": 3333.12, "end": 3333.52, "word": " عندى", "probability": 0.701904296875}, {"start": 3333.52, "end": 3333.72, "word": " اللى", "probability": 0.492340087890625}, {"start": 3333.72, "end": 3333.92, "word": " هو", "probability": 0.5380859375}, {"start": 3333.92, "end": 3334.28, "word": " xn", "probability": 0.3685302734375}, {"start": 3334.28, "end": 3334.62, "word": " زائد", "probability": 0.6407063802083334}, {"start": 3334.62, "end": 3334.94, "word": " واحد", "probability": 0.865234375}, {"start": 3334.94, "end": 3335.14, "word": " على", "probability": 0.404296875}, {"start": 3335.14, "end": 3335.3, "word": " ال", "probability": 0.8447265625}, {"start": 3335.3, "end": 3335.76, "word": " xn", "probability": 0.6915283203125}, {"start": 3335.76, "end": 3336.64, "word": " واحد", "probability": 0.95751953125}, {"start": 3336.64, "end": 3337.4, "word": " ناقصها", "probability": 0.97265625}, {"start": 3337.4, "end": 3337.76, "word": " في", "probability": 0.8857421875}, {"start": 3337.76, "end": 3337.98, "word": " n", "probability": 0.7421875}, {"start": 3337.98, "end": 3338.98, "word": " حسبتها", "probability": 0.9615478515625}, {"start": 3338.98, "end": 3339.1, "word": " و", "probability": 0.78271484375}, {"start": 3339.1, "end": 3339.32, "word": " يساوي", "probability": 0.7349853515625}, {"start": 3339.32, "end": 3339.62, "word": " limit", "probability": 0.9091796875}, {"start": 3339.62, "end": 3339.86, "word": " n", "probability": 0.5400390625}, {"start": 3339.86, "end": 3340.52, "word": " في", "probability": 0.7177734375}, {"start": 3340.52, "end": 3340.88, "word": " واحد", "probability": 0.980712890625}, {"start": 3340.88, "end": 3341.36, "word": " ناقص", "probability": 0.9757080078125}, {"start": 3341.36, "end": 3341.74, "word": " واحد", "probability": 0.9765625}, {"start": 3341.74, "end": 3342.14, "word": " ال", "probability": 0.353515625}, {"start": 3342.14, "end": 3342.38, "word": " n", "probability": 0.491943359375}, {"start": 3342.38, "end": 3343.6, "word": " غلبتها", "probability": 0.81011962890625}, {"start": 3343.6, "end": 3344.18, "word": " صارت", "probability": 0.9547526041666666}, {"start": 3344.18, "end": 3344.46, "word": " nb", "probability": 0.47216796875}, {"start": 3344.46, "end": 3344.66, "word": " على", "probability": 0.6142578125}, {"start": 3344.66, "end": 3345.02, "word": " واحد", "probability": 0.91455078125}, {"start": 3345.02, "end": 3345.32, "word": " n", "probability": 0.72265625}, {"start": 3345.32, "end": 3345.62, "word": " زائد", "probability": 0.9191080729166666}, {"start": 3345.62, "end": 3345.86, "word": " واحد", "probability": 0.9892578125}, {"start": 3345.86, "end": 3346.12, "word": " الكل", "probability": 0.70703125}, {"start": 3346.12, "end": 3346.3, "word": " اس", "probability": 0.101318359375}, {"start": 3346.3, "end": 3347.04, "word": " بيه", "probability": 0.7218424479166666}, {"start": 3347.04, "end": 3347.14, "word": " و", "probability": 0.892578125}, {"start": 3347.14, "end": 3347.5, "word": " يساوي", "probability": 0.9234619140625}, {"start": 3347.5, "end": 3347.92, "word": " limit", "probability": 0.97119140625}, {"start": 3347.92, "end": 3349.02, "word": " عندى", "probability": 0.796142578125}, {"start": 3349.02, "end": 3349.24, "word": " ال", "probability": 0.94482421875}, {"start": 3349.24, "end": 3349.56, "word": " n", "probability": 0.77880859375}], "temperature": 1.0}, {"id": 150, "seek": 337936, "start": 3350.22, "end": 3379.36, "text": "اللي هي أحطت المقامات فصارت N زيد واحد أس بي N أس بي على N زيد واحد وكل أس بي في مين في N ويساوي ال N عبارة عن N زيد واحد أس بي نقص N أس بي على واحد على N وهذه جبت مين لحالها واحد على N زيد واحد أس بي يعني جبت هذه هنا وهذه فصلت لحالة صارت هذه في هذه لأن هذه limit معروف صار ال N limit اللي هو هذا المقدار", "tokens": [6027, 20292, 39896, 5551, 5016, 9566, 2655, 9673, 4587, 10943, 9307, 6156, 9381, 9640, 2655, 426, 30767, 1829, 3215, 36764, 24401, 5551, 3794, 4724, 1829, 426, 5551, 3794, 4724, 1829, 15844, 426, 30767, 1829, 3215, 36764, 24401, 4032, 28820, 5551, 3794, 4724, 1829, 8978, 3714, 9957, 8978, 426, 4032, 1829, 3794, 995, 45865, 2423, 426, 6225, 3555, 9640, 3660, 18871, 426, 30767, 1829, 3215, 36764, 24401, 5551, 3794, 4724, 1829, 8717, 4587, 9381, 426, 5551, 3794, 4724, 1829, 15844, 36764, 24401, 15844, 426, 37037, 24192, 10874, 3555, 2655, 3714, 9957, 5296, 5016, 6027, 11296, 36764, 24401, 15844, 426, 30767, 1829, 3215, 36764, 24401, 5551, 3794, 4724, 1829, 37495, 22653, 10874, 3555, 2655, 29538, 34105, 37037, 24192, 6156, 36520, 2655, 5296, 5016, 6027, 3660, 20328, 9640, 2655, 29538, 8978, 29538, 5296, 33456, 29538, 4948, 20449, 32887, 5172, 20328, 9640, 2423, 426, 4948, 13672, 1829, 31439, 23758, 9673, 28543, 9640], "avg_logprob": -0.18928271492055598, "compression_ratio": 2.353211009174312, "no_speech_prob": 7.450580596923828e-06, "words": [{"start": 3350.22, "end": 3350.56, "word": "اللي", "probability": 0.6708984375}, {"start": 3350.56, "end": 3350.8, "word": " هي", "probability": 0.79345703125}, {"start": 3350.8, "end": 3351.4, "word": " أحطت", "probability": 0.65679931640625}, {"start": 3351.4, "end": 3352.1, "word": " المقامات", "probability": 0.9110107421875}, {"start": 3352.1, "end": 3352.72, "word": " فصارت", "probability": 0.75830078125}, {"start": 3352.72, "end": 3352.86, "word": " N", "probability": 0.217529296875}, {"start": 3352.86, "end": 3353.18, "word": " زيد", "probability": 0.511962890625}, {"start": 3353.18, "end": 3353.38, "word": " واحد", "probability": 0.904541015625}, {"start": 3353.38, "end": 3353.58, "word": " أس", "probability": 0.51708984375}, {"start": 3353.58, "end": 3353.76, "word": " بي", "probability": 0.89208984375}, {"start": 3353.76, "end": 3353.92, "word": " N", "probability": 0.173095703125}, {"start": 3353.92, "end": 3354.18, "word": " أس", "probability": 0.869384765625}, {"start": 3354.18, "end": 3354.32, "word": " بي", "probability": 0.989990234375}, {"start": 3354.32, "end": 3354.44, "word": " على", "probability": 0.63330078125}, {"start": 3354.44, "end": 3354.62, "word": " N", "probability": 0.93310546875}, {"start": 3354.62, "end": 3354.92, "word": " زيد", "probability": 0.7809244791666666}, {"start": 3354.92, "end": 3355.24, "word": " واحد", "probability": 0.990234375}, {"start": 3355.24, "end": 3355.56, "word": " وكل", "probability": 0.81591796875}, {"start": 3355.56, "end": 3355.74, "word": " أس", "probability": 0.94921875}, {"start": 3355.74, "end": 3355.88, "word": " بي", "probability": 0.986328125}, {"start": 3355.88, "end": 3356.06, "word": " في", "probability": 0.9365234375}, {"start": 3356.06, "end": 3356.38, "word": " مين", "probability": 0.78369140625}, {"start": 3356.38, "end": 3356.9, "word": " في", "probability": 0.42333984375}, {"start": 3356.9, "end": 3357.1, "word": " N", "probability": 0.740234375}, {"start": 3357.1, "end": 3358.3, "word": " ويساوي", "probability": 0.7814453125}, {"start": 3358.3, "end": 3358.68, "word": " ال", "probability": 0.86181640625}, {"start": 3358.68, "end": 3358.9, "word": " N", "probability": 0.493896484375}, {"start": 3358.9, "end": 3360.06, "word": " عبارة", "probability": 0.9942626953125}, {"start": 3360.06, "end": 3360.34, "word": " عن", "probability": 0.9931640625}, {"start": 3360.34, "end": 3360.78, "word": " N", "probability": 0.86328125}, {"start": 3360.78, "end": 3361.76, "word": " زيد", "probability": 0.8473307291666666}, {"start": 3361.76, "end": 3362.14, "word": " واحد", "probability": 0.993896484375}, {"start": 3362.14, "end": 3362.44, "word": " أس", "probability": 0.9775390625}, {"start": 3362.44, "end": 3362.68, "word": " بي", "probability": 0.989013671875}, {"start": 3362.68, "end": 3363.02, "word": " نقص", "probability": 0.8857421875}, {"start": 3363.02, "end": 3363.2, "word": " N", "probability": 0.90380859375}, {"start": 3363.2, "end": 3363.44, "word": " أس", "probability": 0.9873046875}, {"start": 3363.44, "end": 3364.34, "word": " بي", "probability": 0.995849609375}, {"start": 3364.34, "end": 3364.84, "word": " على", "probability": 0.82373046875}, {"start": 3364.84, "end": 3365.7, "word": " واحد", "probability": 0.9755859375}, {"start": 3365.7, "end": 3365.88, "word": " على", "probability": 0.859375}, {"start": 3365.88, "end": 3366.16, "word": " N", "probability": 0.970703125}, {"start": 3366.16, "end": 3366.56, "word": " وهذه", "probability": 0.3927001953125}, {"start": 3366.56, "end": 3366.98, "word": " جبت", "probability": 0.8935546875}, {"start": 3366.98, "end": 3367.3, "word": " مين", "probability": 0.965576171875}, {"start": 3367.3, "end": 3367.88, "word": " لحالها", "probability": 0.9818115234375}, {"start": 3367.88, "end": 3368.66, "word": " واحد", "probability": 0.9716796875}, {"start": 3368.66, "end": 3368.76, "word": " على", "probability": 0.8798828125}, {"start": 3368.76, "end": 3368.92, "word": " N", "probability": 0.859375}, {"start": 3368.92, "end": 3369.18, "word": " زيد", "probability": 0.828125}, {"start": 3369.18, "end": 3369.46, "word": " واحد", "probability": 0.995849609375}, {"start": 3369.46, "end": 3369.78, "word": " أس", "probability": 0.969482421875}, {"start": 3369.78, "end": 3369.98, "word": " بي", "probability": 0.993896484375}, {"start": 3369.98, "end": 3370.54, "word": " يعني", "probability": 0.963623046875}, {"start": 3370.54, "end": 3370.9, "word": " جبت", "probability": 0.9908854166666666}, {"start": 3370.9, "end": 3371.18, "word": " هذه", "probability": 0.8486328125}, {"start": 3371.18, "end": 3371.5, "word": " هنا", "probability": 0.251953125}, {"start": 3371.5, "end": 3371.86, "word": " وهذه", "probability": 0.8203125}, {"start": 3371.86, "end": 3372.3, "word": " فصلت", "probability": 0.9739583333333334}, {"start": 3372.3, "end": 3372.88, "word": " لحالة", "probability": 0.8680419921875}, {"start": 3372.88, "end": 3373.64, "word": " صارت", "probability": 0.9724934895833334}, {"start": 3373.64, "end": 3374.1, "word": " هذه", "probability": 0.8740234375}, {"start": 3374.1, "end": 3374.42, "word": " في", "probability": 0.96142578125}, {"start": 3374.42, "end": 3374.68, "word": " هذه", "probability": 0.94384765625}, {"start": 3374.68, "end": 3374.9, "word": " لأن", "probability": 0.782958984375}, {"start": 3374.9, "end": 3375.14, "word": " هذه", "probability": 0.470703125}, {"start": 3375.14, "end": 3375.7, "word": " limit", "probability": 0.736328125}, {"start": 3375.7, "end": 3376.3, "word": " معروف", "probability": 0.74462890625}, {"start": 3376.3, "end": 3376.96, "word": " صار", "probability": 0.956787109375}, {"start": 3376.96, "end": 3377.1, "word": " ال", "probability": 0.990234375}, {"start": 3377.1, "end": 3377.28, "word": " N", "probability": 0.88134765625}, {"start": 3377.28, "end": 3377.68, "word": " limit", "probability": 0.97998046875}, {"start": 3377.68, "end": 3377.88, "word": " اللي", "probability": 0.970703125}, {"start": 3377.88, "end": 3378.14, "word": " هو", "probability": 0.9833984375}, {"start": 3378.14, "end": 3378.58, "word": " هذا", "probability": 0.8837890625}, {"start": 3378.58, "end": 3379.36, "word": " المقدار", "probability": 0.9607747395833334}], "temperature": 1.0}, {"id": 151, "seek": 340378, "start": 3379.74, "end": 3403.78, "text": "الأن واحد على أن جيت اللي هو جسمت فوق على أن أُس بي و تحت على أن أُس بي ماشي لما جسمت هذا على أن أُس بي صار هذا عبارة عن واحد زائد واحد على أن كل أُس بي وهذه واحد ناقص واحد وهذه زي ما هي دلت و لما جسمت هذا على أن أُس بي صارت واحد زائد واحد على أن أُس بي", "tokens": [6027, 33456, 36764, 24401, 15844, 14739, 10874, 36081, 13672, 1829, 31439, 10874, 38251, 2655, 6156, 30543, 15844, 14739, 5551, 10859, 3794, 4724, 1829, 4032, 6055, 33753, 15844, 14739, 5551, 10859, 3794, 4724, 1829, 3714, 33599, 1829, 5296, 15042, 10874, 38251, 2655, 23758, 15844, 14739, 5551, 10859, 3794, 4724, 1829, 20328, 9640, 23758, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 14739, 28242, 5551, 10859, 3794, 4724, 1829, 37037, 24192, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 37037, 24192, 30767, 1829, 19446, 39896, 11778, 1211, 2655, 4032, 5296, 15042, 10874, 38251, 2655, 23758, 15844, 14739, 5551, 10859, 3794, 4724, 1829, 20328, 9640, 2655, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 14739, 5551, 10859, 3794, 4724, 1829], "avg_logprob": -0.14837398422442802, "compression_ratio": 2.76875, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 3379.74, "end": 3380.08, "word": "الأن", "probability": 0.44140625}, {"start": 3380.08, "end": 3380.5, "word": " واحد", "probability": 0.939697265625}, {"start": 3380.5, "end": 3380.7, "word": " على", "probability": 0.70263671875}, {"start": 3380.7, "end": 3381.06, "word": " أن", "probability": 0.64990234375}, {"start": 3381.06, "end": 3382.68, "word": " جيت", "probability": 0.81640625}, {"start": 3382.68, "end": 3382.98, "word": " اللي", "probability": 0.898681640625}, {"start": 3382.98, "end": 3383.46, "word": " هو", "probability": 0.9853515625}, {"start": 3383.46, "end": 3384.92, "word": " جسمت", "probability": 0.6783854166666666}, {"start": 3384.92, "end": 3385.4, "word": " فوق", "probability": 0.76708984375}, {"start": 3385.4, "end": 3386.28, "word": " على", "probability": 0.93017578125}, {"start": 3386.28, "end": 3386.56, "word": " أن", "probability": 0.71923828125}, {"start": 3386.56, "end": 3386.82, "word": " أُس", "probability": 0.6700846354166666}, {"start": 3386.82, "end": 3387.2, "word": " بي", "probability": 0.9462890625}, {"start": 3387.2, "end": 3387.58, "word": " و", "probability": 0.397216796875}, {"start": 3387.58, "end": 3387.88, "word": " تحت", "probability": 0.871337890625}, {"start": 3387.88, "end": 3388.12, "word": " على", "probability": 0.90625}, {"start": 3388.12, "end": 3388.32, "word": " أن", "probability": 0.92529296875}, {"start": 3388.32, "end": 3388.6, "word": " أُس", "probability": 0.986328125}, {"start": 3388.6, "end": 3388.94, "word": " بي", "probability": 0.9892578125}, {"start": 3388.94, "end": 3389.86, "word": " ماشي", "probability": 0.8118489583333334}, {"start": 3389.86, "end": 3390.54, "word": " لما", "probability": 0.7978515625}, {"start": 3390.54, "end": 3390.96, "word": " جسمت", "probability": 0.9807942708333334}, {"start": 3390.96, "end": 3391.12, "word": " هذا", "probability": 0.63525390625}, {"start": 3391.12, "end": 3391.3, "word": " على", "probability": 0.93017578125}, {"start": 3391.3, "end": 3391.48, "word": " أن", "probability": 0.92333984375}, {"start": 3391.48, "end": 3391.7, "word": " أُس", "probability": 0.9715169270833334}, {"start": 3391.7, "end": 3392.06, "word": " بي", "probability": 0.993896484375}, {"start": 3392.06, "end": 3392.5, "word": " صار", "probability": 0.978515625}, {"start": 3392.5, "end": 3392.68, "word": " هذا", "probability": 0.9013671875}, {"start": 3392.68, "end": 3393.08, "word": " عبارة", "probability": 0.981689453125}, {"start": 3393.08, "end": 3393.26, "word": " عن", "probability": 0.98681640625}, {"start": 3393.26, "end": 3393.76, "word": " واحد", "probability": 0.992919921875}, {"start": 3393.76, "end": 3394.12, "word": " زائد", "probability": 0.9339192708333334}, {"start": 3394.12, "end": 3394.44, "word": " واحد", "probability": 0.986328125}, {"start": 3394.44, "end": 3394.56, "word": " على", "probability": 0.9169921875}, {"start": 3394.56, "end": 3394.78, "word": " أن", "probability": 0.77783203125}, {"start": 3394.78, "end": 3395.32, "word": " كل", "probability": 0.77294921875}, {"start": 3395.32, "end": 3395.54, "word": " أُس", "probability": 0.9510091145833334}, {"start": 3395.54, "end": 3395.86, "word": " بي", "probability": 0.9912109375}, {"start": 3395.86, "end": 3396.62, "word": " وهذه", "probability": 0.634033203125}, {"start": 3396.62, "end": 3396.98, "word": " واحد", "probability": 0.96923828125}, {"start": 3396.98, "end": 3397.42, "word": " ناقص", "probability": 0.908935546875}, {"start": 3397.42, "end": 3397.76, "word": " واحد", "probability": 0.9873046875}, {"start": 3397.76, "end": 3398.0, "word": " وهذه", "probability": 0.80810546875}, {"start": 3398.0, "end": 3398.18, "word": " زي", "probability": 0.9765625}, {"start": 3398.18, "end": 3398.24, "word": " ما", "probability": 0.9541015625}, {"start": 3398.24, "end": 3398.38, "word": " هي", "probability": 0.79638671875}, {"start": 3398.38, "end": 3398.84, "word": " دلت", "probability": 0.6845703125}, {"start": 3398.84, "end": 3399.24, "word": " و", "probability": 0.5595703125}, {"start": 3399.24, "end": 3399.42, "word": " لما", "probability": 0.70166015625}, {"start": 3399.42, "end": 3399.88, "word": " جسمت", "probability": 0.9890950520833334}, {"start": 3399.88, "end": 3400.1, "word": " هذا", "probability": 0.78857421875}, {"start": 3400.1, "end": 3400.32, "word": " على", "probability": 0.943359375}, {"start": 3400.32, "end": 3400.56, "word": " أن", "probability": 0.923828125}, {"start": 3400.56, "end": 3400.78, "word": " أُس", "probability": 0.9747721354166666}, {"start": 3400.78, "end": 3401.14, "word": " بي", "probability": 0.99609375}, {"start": 3401.14, "end": 3401.8, "word": " صارت", "probability": 0.9892578125}, {"start": 3401.8, "end": 3402.06, "word": " واحد", "probability": 0.988037109375}, {"start": 3402.06, "end": 3402.32, "word": " زائد", "probability": 0.9817708333333334}, {"start": 3402.32, "end": 3402.58, "word": " واحد", "probability": 0.993408203125}, {"start": 3402.58, "end": 3402.72, "word": " على", "probability": 0.935546875}, {"start": 3402.72, "end": 3403.04, "word": " أن", "probability": 0.87060546875}, {"start": 3403.04, "end": 3403.58, "word": " أُس", "probability": 0.9864908854166666}, {"start": 3403.58, "end": 3403.78, "word": " بي", "probability": 0.991943359375}], "temperature": 1.0}, {"id": 152, "seek": 342577, "start": 3404.43, "end": 3425.77, "text": "الان و يساوي، الان limit الأول في limit مين؟ التاني الان limit التاني هذا ساهل بساوي واحد اللي فوق صار عبارة عن الان اللي هو سفر على سفر، ليش؟ لأن as n goes to infinity، هذي بيصير سفر، هذي بيصير واحدة، و أحد بيطلع سفر، و هذي سفر، سفر على سفر، ده نستخدم اللي هو بتالي الزرول", "tokens": [6027, 7649, 4032, 7251, 3794, 995, 45865, 12399, 2423, 7649, 4948, 16247, 12610, 8978, 4948, 3714, 9957, 22807, 16712, 7649, 1829, 2423, 7649, 4948, 16712, 7649, 1829, 23758, 8608, 40294, 1211, 4724, 3794, 995, 45865, 36764, 24401, 13672, 1829, 6156, 30543, 20328, 9640, 6225, 3555, 9640, 3660, 18871, 2423, 7649, 13672, 1829, 31439, 8608, 5172, 2288, 15844, 8608, 5172, 2288, 12399, 32239, 8592, 22807, 5296, 33456, 382, 297, 1709, 281, 13202, 12399, 8032, 8848, 1829, 4724, 1829, 9381, 13546, 8608, 5172, 2288, 12399, 8032, 8848, 1829, 4724, 1829, 9381, 13546, 36764, 24401, 3660, 12399, 4032, 5551, 24401, 4724, 1829, 9566, 1211, 3615, 8608, 5172, 2288, 12399, 4032, 8032, 8848, 1829, 8608, 5172, 2288, 12399, 8608, 5172, 2288, 15844, 8608, 5172, 2288, 12399, 11778, 3224, 8717, 14851, 9778, 40448, 13672, 1829, 31439, 39894, 6027, 1829, 2423, 11622, 2288, 12610], "avg_logprob": -0.21481564619558322, "compression_ratio": 2.0355555555555553, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 3404.43, "end": 3404.83, "word": "الان", "probability": 0.6788330078125}, {"start": 3404.83, "end": 3405.01, "word": " و", "probability": 0.300048828125}, {"start": 3405.01, "end": 3405.77, "word": " يساوي،", "probability": 0.6625}, {"start": 3405.77, "end": 3406.15, "word": " الان", "probability": 0.6434326171875}, {"start": 3406.15, "end": 3406.53, "word": " limit", "probability": 0.720703125}, {"start": 3406.53, "end": 3407.15, "word": " الأول", "probability": 0.94970703125}, {"start": 3407.15, "end": 3407.65, "word": " في", "probability": 0.85888671875}, {"start": 3407.65, "end": 3407.93, "word": " limit", "probability": 0.9716796875}, {"start": 3407.93, "end": 3408.51, "word": " مين؟", "probability": 0.5958658854166666}, {"start": 3408.51, "end": 3409.57, "word": " التاني", "probability": 0.9344075520833334}, {"start": 3409.57, "end": 3410.21, "word": " الان", "probability": 0.74658203125}, {"start": 3410.21, "end": 3410.55, "word": " limit", "probability": 0.9404296875}, {"start": 3410.55, "end": 3411.05, "word": " التاني", "probability": 0.9632161458333334}, {"start": 3411.05, "end": 3411.29, "word": " هذا", "probability": 0.90185546875}, {"start": 3411.29, "end": 3411.81, "word": " ساهل", "probability": 0.9217122395833334}, {"start": 3411.81, "end": 3412.29, "word": " بساوي", "probability": 0.915771484375}, {"start": 3412.29, "end": 3412.77, "word": " واحد", "probability": 0.9501953125}, {"start": 3412.77, "end": 3413.37, "word": " اللي", "probability": 0.84326171875}, {"start": 3413.37, "end": 3413.67, "word": " فوق", "probability": 0.978515625}, {"start": 3413.67, "end": 3413.95, "word": " صار", "probability": 0.919921875}, {"start": 3413.95, "end": 3414.43, "word": " عبارة", "probability": 0.995849609375}, {"start": 3414.43, "end": 3414.73, "word": " عن", "probability": 0.99609375}, {"start": 3414.73, "end": 3415.75, "word": " الان", "probability": 0.958251953125}, {"start": 3415.75, "end": 3416.29, "word": " اللي", "probability": 0.98291015625}, {"start": 3416.29, "end": 3416.55, "word": " هو", "probability": 0.98779296875}, {"start": 3416.55, "end": 3416.93, "word": " سفر", "probability": 0.794189453125}, {"start": 3416.93, "end": 3417.11, "word": " على", "probability": 0.853515625}, {"start": 3417.11, "end": 3417.57, "word": " سفر،", "probability": 0.896240234375}, {"start": 3417.57, "end": 3418.27, "word": " ليش؟", "probability": 0.9611002604166666}, {"start": 3418.27, "end": 3418.51, "word": " لأن", "probability": 0.840087890625}, {"start": 3418.51, "end": 3418.79, "word": " as", "probability": 0.65283203125}, {"start": 3418.79, "end": 3418.91, "word": " n", "probability": 0.7216796875}, {"start": 3418.91, "end": 3419.11, "word": " goes", "probability": 0.931640625}, {"start": 3419.11, "end": 3419.21, "word": " to", "probability": 0.95068359375}, {"start": 3419.21, "end": 3419.61, "word": " infinity،", "probability": 0.776123046875}, {"start": 3419.61, "end": 3419.73, "word": " هذي", "probability": 0.6124674479166666}, {"start": 3419.73, "end": 3419.99, "word": " بيصير", "probability": 0.9136962890625}, {"start": 3419.99, "end": 3420.83, "word": " سفر،", "probability": 0.9627685546875}, {"start": 3420.83, "end": 3421.01, "word": " هذي", "probability": 0.9091796875}, {"start": 3421.01, "end": 3421.29, "word": " بيصير", "probability": 0.98046875}, {"start": 3421.29, "end": 3421.83, "word": " واحدة،", "probability": 0.895263671875}, {"start": 3421.83, "end": 3421.91, "word": " و", "probability": 0.274658203125}, {"start": 3421.91, "end": 3422.11, "word": " أحد", "probability": 0.52655029296875}, {"start": 3422.11, "end": 3422.41, "word": " بيطلع", "probability": 0.94326171875}, {"start": 3422.41, "end": 3423.09, "word": " سفر،", "probability": 0.9200439453125}, {"start": 3423.09, "end": 3423.19, "word": " و", "probability": 0.58935546875}, {"start": 3423.19, "end": 3423.43, "word": " هذي", "probability": 0.80517578125}, {"start": 3423.43, "end": 3423.75, "word": " سفر،", "probability": 0.8837890625}, {"start": 3423.75, "end": 3423.97, "word": " سفر", "probability": 0.98828125}, {"start": 3423.97, "end": 3424.03, "word": " على", "probability": 0.80322265625}, {"start": 3424.03, "end": 3424.35, "word": " سفر،", "probability": 0.9390869140625}, {"start": 3424.35, "end": 3424.43, "word": " ده", "probability": 0.6717529296875}, {"start": 3424.43, "end": 3424.89, "word": " نستخدم", "probability": 0.79339599609375}, {"start": 3424.89, "end": 3425.03, "word": " اللي", "probability": 0.7291259765625}, {"start": 3425.03, "end": 3425.13, "word": " هو", "probability": 0.93896484375}, {"start": 3425.13, "end": 3425.41, "word": " بتالي", "probability": 0.6539713541666666}, {"start": 3425.41, "end": 3425.77, "word": " الزرول", "probability": 0.803955078125}], "temperature": 1.0}, {"id": 153, "seek": 345575, "start": 3426.03, "end": 3455.75, "text": "استخدمت الـ L'Hôpital's Rule واشتققت اللي فوق و اللي تحت بالنسبة لل N طبعا هذا ال limit طلع و خلصنا واحد اشتققنا طالع عبارة عن B في واحد زائد واحد على N كل اسم B minus واحد فاطلع دول الجوا ناقص واحد على N تربيع لما فضلت اللي تحت برضه هيطلع ليه ناقص واحد على N تربيع هذا بروح مع حده بيصير عندي as N goes to infinity هذا بتروح للسفر اذا بيصير ايش بيساوي اللي هو عبارة عن B في واحد اسم B minus واحد يعني عبارة عن ايه؟ عن B", "tokens": [995, 14851, 9778, 40448, 2655, 2423, 39184, 441, 6, 39, 2851, 79, 1686, 311, 27533, 4032, 33599, 2655, 4587, 38149, 13672, 1829, 6156, 30543, 4032, 13672, 1829, 6055, 33753, 20666, 1863, 35457, 3660, 24976, 426, 23032, 3555, 3615, 995, 23758, 2423, 4948, 23032, 1211, 3615, 4032, 16490, 1211, 9381, 8315, 36764, 24401, 1975, 8592, 2655, 4587, 4587, 8315, 23032, 6027, 3615, 6225, 3555, 9640, 3660, 18871, 363, 8978, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 426, 28242, 24525, 2304, 363, 3175, 36764, 24401, 6156, 41193, 1211, 3615, 11778, 12610, 25724, 14407, 8717, 995, 4587, 9381, 36764, 24401, 15844, 426, 6055, 25513, 40228, 5296, 15042, 6156, 11242, 1211, 2655, 13672, 1829, 6055, 33753, 4724, 43042, 3224, 8032, 1829, 9566, 1211, 3615, 32239, 3224, 8717, 995, 4587, 9381, 36764, 24401, 15844, 426, 6055, 25513, 40228, 23758, 4724, 32887, 5016, 20449, 11331, 3215, 3224, 4724, 1829, 9381, 13546, 43242, 1829, 382, 426, 1709, 281, 13202, 23758, 39894, 32887, 5016, 24976, 3794, 5172, 2288, 1975, 15730, 4724, 1829, 9381, 13546, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 363, 8978, 36764, 24401, 24525, 2304, 363, 3175, 36764, 24401, 37495, 22653, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 3224, 22807, 18871, 363], "avg_logprob": -0.23505434494663552, "compression_ratio": 2.103343465045593, "no_speech_prob": 0.0010499954223632812, "words": [{"start": 3426.03, "end": 3426.71, "word": "استخدمت", "probability": 0.9251953125}, {"start": 3426.71, "end": 3426.81, "word": " الـ", "probability": 0.525390625}, {"start": 3426.81, "end": 3426.93, "word": " L", "probability": 0.15771484375}, {"start": 3426.93, "end": 3427.37, "word": "'Hôpital's", "probability": 0.5877278645833334}, {"start": 3427.37, "end": 3427.61, "word": " Rule", "probability": 0.64306640625}, {"start": 3427.61, "end": 3428.73, "word": " واشتققت", "probability": 0.73505859375}, {"start": 3428.73, "end": 3428.91, "word": " اللي", "probability": 0.9033203125}, {"start": 3428.91, "end": 3429.21, "word": " فوق", "probability": 0.861572265625}, {"start": 3429.21, "end": 3429.29, "word": " و", "probability": 0.783203125}, {"start": 3429.29, "end": 3429.39, "word": " اللي", "probability": 0.775390625}, {"start": 3429.39, "end": 3429.67, "word": " تحت", "probability": 0.973388671875}, {"start": 3429.67, "end": 3430.09, "word": " بالنسبة", "probability": 0.9547119140625}, {"start": 3430.09, "end": 3430.31, "word": " لل", "probability": 0.712890625}, {"start": 3430.31, "end": 3430.59, "word": " N", "probability": 0.2841796875}, {"start": 3430.59, "end": 3431.25, "word": " طبعا", "probability": 0.9420166015625}, {"start": 3431.25, "end": 3431.45, "word": " هذا", "probability": 0.8564453125}, {"start": 3431.45, "end": 3431.57, "word": " ال", "probability": 0.8720703125}, {"start": 3431.57, "end": 3431.71, "word": " limit", "probability": 0.89453125}, {"start": 3431.71, "end": 3431.99, "word": " طلع", "probability": 0.9130859375}, {"start": 3431.99, "end": 3432.07, "word": " و", "probability": 0.90869140625}, {"start": 3432.07, "end": 3432.49, "word": " خلصنا", "probability": 0.9617919921875}, {"start": 3432.49, "end": 3432.89, "word": " واحد", "probability": 0.8525390625}, {"start": 3432.89, "end": 3434.03, "word": " اشتققنا", "probability": 0.8025716145833334}, {"start": 3434.03, "end": 3434.31, "word": " طالع", "probability": 0.7052408854166666}, {"start": 3434.31, "end": 3434.61, "word": " عبارة", "probability": 0.9913330078125}, {"start": 3434.61, "end": 3434.79, "word": " عن", "probability": 0.96142578125}, {"start": 3434.79, "end": 3434.97, "word": " B", "probability": 0.389892578125}, {"start": 3434.97, "end": 3435.11, "word": " في", "probability": 0.708984375}, {"start": 3435.11, "end": 3435.57, "word": " واحد", "probability": 0.917724609375}, {"start": 3435.57, "end": 3436.49, "word": " زائد", "probability": 0.8885091145833334}, {"start": 3436.49, "end": 3436.85, "word": " واحد", "probability": 0.974365234375}, {"start": 3436.85, "end": 3437.01, "word": " على", "probability": 0.9130859375}, {"start": 3437.01, "end": 3437.27, "word": " N", "probability": 0.8623046875}, {"start": 3437.27, "end": 3437.67, "word": " كل", "probability": 0.69677734375}, {"start": 3437.67, "end": 3437.87, "word": " اسم", "probability": 0.496826171875}, {"start": 3437.87, "end": 3437.93, "word": " B", "probability": 0.2646484375}, {"start": 3437.93, "end": 3438.17, "word": " minus", "probability": 0.32568359375}, {"start": 3438.17, "end": 3438.53, "word": " واحد", "probability": 0.9775390625}, {"start": 3438.53, "end": 3438.87, "word": " فاطلع", "probability": 0.56890869140625}, {"start": 3438.87, "end": 3439.03, "word": " دول", "probability": 0.425048828125}, {"start": 3439.03, "end": 3439.45, "word": " الجوا", "probability": 0.714111328125}, {"start": 3439.45, "end": 3440.13, "word": " ناقص", "probability": 0.955810546875}, {"start": 3440.13, "end": 3440.39, "word": " واحد", "probability": 0.989501953125}, {"start": 3440.39, "end": 3440.51, "word": " على", "probability": 0.78173828125}, {"start": 3440.51, "end": 3440.65, "word": " N", "probability": 0.94873046875}, {"start": 3440.65, "end": 3441.07, "word": " تربيع", "probability": 0.78564453125}, {"start": 3441.07, "end": 3441.31, "word": " لما", "probability": 0.895263671875}, {"start": 3441.31, "end": 3441.69, "word": " فضلت", "probability": 0.9820556640625}, {"start": 3441.69, "end": 3441.79, "word": " اللي", "probability": 0.984375}, {"start": 3441.79, "end": 3442.05, "word": " تحت", "probability": 0.989013671875}, {"start": 3442.05, "end": 3442.25, "word": " برضه", "probability": 0.96142578125}, {"start": 3442.25, "end": 3442.61, "word": " هيطلع", "probability": 0.83759765625}, {"start": 3442.61, "end": 3442.87, "word": " ليه", "probability": 0.5419921875}, {"start": 3442.87, "end": 3443.45, "word": " ناقص", "probability": 0.9932861328125}, {"start": 3443.45, "end": 3443.73, "word": " واحد", "probability": 0.99365234375}, {"start": 3443.73, "end": 3443.83, "word": " على", "probability": 0.92138671875}, {"start": 3443.83, "end": 3444.01, "word": " N", "probability": 0.986328125}, {"start": 3444.01, "end": 3444.53, "word": " تربيع", "probability": 0.9700520833333334}, {"start": 3444.53, "end": 3445.11, "word": " هذا", "probability": 0.8251953125}, {"start": 3445.11, "end": 3445.39, "word": " بروح", "probability": 0.8841145833333334}, {"start": 3445.39, "end": 3445.57, "word": " مع", "probability": 0.268798828125}, {"start": 3445.57, "end": 3446.07, "word": " حده", "probability": 0.58544921875}, {"start": 3446.07, "end": 3446.67, "word": " بيصير", "probability": 0.895751953125}, {"start": 3446.67, "end": 3446.99, "word": " عندي", "probability": 0.589599609375}, {"start": 3446.99, "end": 3447.17, "word": " as", "probability": 0.82568359375}, {"start": 3447.17, "end": 3447.33, "word": " N", "probability": 0.908203125}, {"start": 3447.33, "end": 3447.59, "word": " goes", "probability": 0.92626953125}, {"start": 3447.59, "end": 3447.71, "word": " to", "probability": 0.97119140625}, {"start": 3447.71, "end": 3448.01, "word": " infinity", "probability": 0.84228515625}, {"start": 3448.01, "end": 3448.21, "word": " هذا", "probability": 0.509765625}, {"start": 3448.21, "end": 3448.49, "word": " بتروح", "probability": 0.9026692708333334}, {"start": 3448.49, "end": 3448.99, "word": " للسفر", "probability": 0.72003173828125}, {"start": 3448.99, "end": 3449.49, "word": " اذا", "probability": 0.6588134765625}, {"start": 3449.49, "end": 3449.87, "word": " بيصير", "probability": 0.94384765625}, {"start": 3449.87, "end": 3450.03, "word": " ايش", "probability": 0.7288411458333334}, {"start": 3450.03, "end": 3450.55, "word": " بيساوي", "probability": 0.90439453125}, {"start": 3450.55, "end": 3450.81, "word": " اللي", "probability": 0.950927734375}, {"start": 3450.81, "end": 3451.03, "word": " هو", "probability": 0.95263671875}, {"start": 3451.03, "end": 3451.43, "word": " عبارة", "probability": 0.9884033203125}, {"start": 3451.43, "end": 3451.65, "word": " عن", "probability": 0.97509765625}, {"start": 3451.65, "end": 3452.13, "word": " B", "probability": 0.7626953125}, {"start": 3452.13, "end": 3452.31, "word": " في", "probability": 0.9794921875}, {"start": 3452.31, "end": 3452.61, "word": " واحد", "probability": 0.990234375}, {"start": 3452.61, "end": 3452.85, "word": " اسم", "probability": 0.710205078125}, {"start": 3452.85, "end": 3452.99, "word": " B", "probability": 0.71875}, {"start": 3452.99, "end": 3453.29, "word": " minus", "probability": 0.9677734375}, {"start": 3453.29, "end": 3453.65, "word": " واحد", "probability": 0.955078125}, {"start": 3453.65, "end": 3454.01, "word": " يعني", "probability": 0.970703125}, {"start": 3454.01, "end": 3454.41, "word": " عبارة", "probability": 0.9976806640625}, {"start": 3454.41, "end": 3454.61, "word": " عن", "probability": 0.96728515625}, {"start": 3454.61, "end": 3455.03, "word": " ايه؟", "probability": 0.6253662109375}, {"start": 3455.03, "end": 3455.53, "word": " عن", "probability": 0.85595703125}, {"start": 3455.53, "end": 3455.75, "word": " B", "probability": 0.67041015625}], "temperature": 1.0}, {"id": 154, "seek": 347065, "start": 3456.01, "end": 3470.65, "text": "الأن مادام B وB أكبر أوسع واحد، إذا من الـ Corollary اللي قبل بشوية الـ B Series إيش مالها، converges for B أكبر من مين من واحد", "tokens": [6027, 33456, 3714, 18513, 10943, 363, 4032, 33, 5551, 4117, 26890, 34051, 3794, 3615, 36764, 24401, 12399, 11933, 15730, 9154, 2423, 39184, 3925, 1833, 822, 13672, 1829, 12174, 36150, 4724, 8592, 2407, 10632, 2423, 39184, 363, 13934, 11933, 1829, 8592, 3714, 6027, 11296, 12399, 9652, 2880, 337, 363, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 36764, 24401], "avg_logprob": -0.3582974235559332, "compression_ratio": 1.3310810810810811, "no_speech_prob": 0.0, "words": [{"start": 3456.01, "end": 3456.51, "word": "الأن", "probability": 0.3614501953125}, {"start": 3456.51, "end": 3457.01, "word": " مادام", "probability": 0.4898274739583333}, {"start": 3457.01, "end": 3457.29, "word": " B", "probability": 0.397216796875}, {"start": 3457.29, "end": 3458.07, "word": " وB", "probability": 0.57861328125}, {"start": 3458.07, "end": 3458.39, "word": " أكبر", "probability": 0.8815104166666666}, {"start": 3458.39, "end": 3458.73, "word": " أوسع", "probability": 0.727783203125}, {"start": 3458.73, "end": 3459.27, "word": " واحد،", "probability": 0.7307942708333334}, {"start": 3459.27, "end": 3459.51, "word": " إذا", "probability": 0.702880859375}, {"start": 3459.51, "end": 3459.67, "word": " من", "probability": 0.54296875}, {"start": 3459.67, "end": 3459.81, "word": " الـ", "probability": 0.5765380859375}, {"start": 3459.81, "end": 3460.39, "word": " Corollary", "probability": 0.87890625}, {"start": 3460.39, "end": 3460.89, "word": " اللي", "probability": 0.805908203125}, {"start": 3460.89, "end": 3461.11, "word": " قبل", "probability": 0.96630859375}, {"start": 3461.11, "end": 3461.73, "word": " بشوية", "probability": 0.92138671875}, {"start": 3461.73, "end": 3464.13, "word": " الـ", "probability": 0.6287841796875}, {"start": 3464.13, "end": 3464.43, "word": " B", "probability": 0.51123046875}, {"start": 3464.43, "end": 3465.17, "word": " Series", "probability": 0.49462890625}, {"start": 3465.17, "end": 3465.51, "word": " إيش", "probability": 0.5863444010416666}, {"start": 3465.51, "end": 3466.35, "word": " مالها،", "probability": 0.80291748046875}, {"start": 3466.35, "end": 3467.35, "word": " converges", "probability": 0.674560546875}, {"start": 3467.35, "end": 3467.99, "word": " for", "probability": 0.7822265625}, {"start": 3467.99, "end": 3468.35, "word": " B", "probability": 0.9150390625}, {"start": 3468.35, "end": 3468.99, "word": " أكبر", "probability": 0.97900390625}, {"start": 3468.99, "end": 3469.27, "word": " من", "probability": 0.9833984375}, {"start": 3469.27, "end": 3469.73, "word": " مين", "probability": 0.82080078125}, {"start": 3469.73, "end": 3470.15, "word": " من", "probability": 0.7919921875}, {"start": 3470.15, "end": 3470.65, "word": " واحد", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 155, "seek": 349764, "start": 3471.02, "end": 3497.64, "text": "الأن في حالة الواحد قلنا اللي هو لما الـ B بتطلع واحد الـ limit بيكون ال test fail يعني هذه اللي هو بس بنستخدم فيها ال test for convergence بس في حالة اللي هو مين اللي هو الـ B أكبر من واحد أثبتنا إنه converge بطريقة اللي يرقب ال test الآن لو كانت B أكبر من واحد", "tokens": [6027, 33456, 8978, 11331, 6027, 3660, 2423, 14407, 24401, 12174, 1211, 8315, 13672, 1829, 31439, 5296, 15042, 2423, 39184, 363, 39894, 9566, 1211, 3615, 36764, 24401, 2423, 39184, 4948, 4724, 1829, 30544, 2423, 1500, 3061, 37495, 22653, 29538, 13672, 1829, 31439, 4724, 3794, 44945, 14851, 9778, 40448, 8978, 11296, 2423, 1500, 337, 32181, 4724, 3794, 8978, 11331, 6027, 3660, 13672, 1829, 31439, 3714, 9957, 13672, 1829, 31439, 2423, 39184, 363, 5551, 4117, 26890, 9154, 36764, 24401, 5551, 12984, 3555, 2655, 8315, 36145, 3224, 41881, 4724, 9566, 16572, 28671, 13672, 1829, 7251, 2288, 4587, 3555, 2423, 1500, 6024, 48506, 45164, 25961, 2655, 363, 5551, 4117, 26890, 9154, 36764, 24401], "avg_logprob": -0.21344609873010478, "compression_ratio": 1.9812206572769953, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3471.02, "end": 3471.38, "word": "الأن", "probability": 0.521728515625}, {"start": 3471.38, "end": 3471.52, "word": " في", "probability": 0.71337890625}, {"start": 3471.52, "end": 3471.86, "word": " حالة", "probability": 0.99658203125}, {"start": 3471.86, "end": 3472.46, "word": " الواحد", "probability": 0.9669596354166666}, {"start": 3472.46, "end": 3473.14, "word": " قلنا", "probability": 0.7357584635416666}, {"start": 3473.14, "end": 3473.46, "word": " اللي", "probability": 0.89501953125}, {"start": 3473.46, "end": 3473.8, "word": " هو", "probability": 0.9912109375}, {"start": 3473.8, "end": 3474.46, "word": " لما", "probability": 0.851806640625}, {"start": 3474.46, "end": 3474.64, "word": " الـ", "probability": 0.6630859375}, {"start": 3474.64, "end": 3474.68, "word": " B", "probability": 0.334716796875}, {"start": 3474.68, "end": 3475.08, "word": " بتطلع", "probability": 0.8460693359375}, {"start": 3475.08, "end": 3475.4, "word": " واحد", "probability": 0.9072265625}, {"start": 3475.4, "end": 3475.6, "word": " الـ", "probability": 0.642822265625}, {"start": 3475.6, "end": 3475.8, "word": " limit", "probability": 0.61865234375}, {"start": 3475.8, "end": 3476.24, "word": " بيكون", "probability": 0.6302897135416666}, {"start": 3476.24, "end": 3476.46, "word": " ال", "probability": 0.96142578125}, {"start": 3476.46, "end": 3476.66, "word": " test", "probability": 0.84716796875}, {"start": 3476.66, "end": 3477.08, "word": " fail", "probability": 0.5888671875}, {"start": 3477.08, "end": 3477.74, "word": " يعني", "probability": 0.88916015625}, {"start": 3477.74, "end": 3478.14, "word": " هذه", "probability": 0.5283203125}, {"start": 3478.14, "end": 3478.38, "word": " اللي", "probability": 0.980712890625}, {"start": 3478.38, "end": 3478.54, "word": " هو", "probability": 0.96728515625}, {"start": 3478.54, "end": 3478.76, "word": " بس", "probability": 0.986083984375}, {"start": 3478.76, "end": 3479.38, "word": " بنستخدم", "probability": 0.93603515625}, {"start": 3479.38, "end": 3479.8, "word": " فيها", "probability": 0.98388671875}, {"start": 3479.8, "end": 3480.48, "word": " ال", "probability": 0.92626953125}, {"start": 3480.48, "end": 3480.72, "word": " test", "probability": 0.4990234375}, {"start": 3480.72, "end": 3481.12, "word": " for", "probability": 0.951171875}, {"start": 3481.12, "end": 3482.04, "word": " convergence", "probability": 0.93408203125}, {"start": 3482.04, "end": 3482.38, "word": " بس", "probability": 0.9892578125}, {"start": 3482.38, "end": 3482.5, "word": " في", "probability": 0.92529296875}, {"start": 3482.5, "end": 3482.86, "word": " حالة", "probability": 0.9977213541666666}, {"start": 3482.86, "end": 3483.0, "word": " اللي", "probability": 0.993408203125}, {"start": 3483.0, "end": 3483.14, "word": " هو", "probability": 0.9912109375}, {"start": 3483.14, "end": 3483.46, "word": " مين", "probability": 0.8232421875}, {"start": 3483.46, "end": 3484.2, "word": " اللي", "probability": 0.984619140625}, {"start": 3484.2, "end": 3484.4, "word": " هو", "probability": 0.98974609375}, {"start": 3484.4, "end": 3484.56, "word": " الـ", "probability": 0.8330078125}, {"start": 3484.56, "end": 3484.74, "word": " B", "probability": 0.873046875}, {"start": 3484.74, "end": 3485.44, "word": " أكبر", "probability": 0.97509765625}, {"start": 3485.44, "end": 3485.76, "word": " من", "probability": 0.99560546875}, {"start": 3485.76, "end": 3486.46, "word": " واحد", "probability": 0.948974609375}, {"start": 3486.46, "end": 3487.24, "word": " أثبتنا", "probability": 0.99169921875}, {"start": 3487.24, "end": 3487.48, "word": " إنه", "probability": 0.78857421875}, {"start": 3487.48, "end": 3487.94, "word": " converge", "probability": 0.5556640625}, {"start": 3487.94, "end": 3488.54, "word": " بطريقة", "probability": 0.94775390625}, {"start": 3488.54, "end": 3488.8, "word": " اللي", "probability": 0.5606689453125}, {"start": 3488.8, "end": 3489.2, "word": " يرقب", "probability": 0.488128662109375}, {"start": 3489.2, "end": 3489.32, "word": " ال", "probability": 0.64697265625}, {"start": 3489.32, "end": 3489.6, "word": " test", "probability": 0.94482421875}, {"start": 3489.6, "end": 3494.26, "word": " الآن", "probability": 0.621826171875}, {"start": 3494.26, "end": 3495.86, "word": " لو", "probability": 0.92919921875}, {"start": 3495.86, "end": 3496.32, "word": " كانت", "probability": 0.98193359375}, {"start": 3496.32, "end": 3496.46, "word": " B", "probability": 0.5927734375}, {"start": 3496.46, "end": 3496.9, "word": " أكبر", "probability": 0.98486328125}, {"start": 3496.9, "end": 3497.08, "word": " من", "probability": 0.99609375}, {"start": 3497.08, "end": 3497.64, "word": " واحد", "probability": 0.968017578125}], "temperature": 1.0}, {"id": 156, "seek": 351603, "start": 3498.69, "end": 3516.03, "text": "لو كانت بيه أكبر من واحد قلنا اللي هي convergence و for b بيساوي واحد اللي هو no conclusion طيب نيجي الأن لمثال آخر use the Raab's test", "tokens": [1211, 2407, 25961, 2655, 4724, 1829, 3224, 5551, 4117, 26890, 9154, 36764, 24401, 12174, 1211, 8315, 13672, 1829, 39896, 32181, 4032, 337, 272, 4724, 1829, 3794, 995, 45865, 36764, 24401, 13672, 1829, 31439, 572, 10063, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 16247, 1863, 32767, 12984, 6027, 19753, 34740, 764, 264, 7591, 455, 311, 1500], "avg_logprob": -0.33258929050394465, "compression_ratio": 1.2820512820512822, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3498.69, "end": 3498.99, "word": "لو", "probability": 0.823974609375}, {"start": 3498.99, "end": 3499.29, "word": " كانت", "probability": 0.90771484375}, {"start": 3499.29, "end": 3499.45, "word": " بيه", "probability": 0.55908203125}, {"start": 3499.45, "end": 3499.71, "word": " أكبر", "probability": 0.9134114583333334}, {"start": 3499.71, "end": 3499.85, "word": " من", "probability": 0.9697265625}, {"start": 3499.85, "end": 3500.27, "word": " واحد", "probability": 0.923828125}, {"start": 3500.27, "end": 3501.05, "word": " قلنا", "probability": 0.765625}, {"start": 3501.05, "end": 3502.01, "word": " اللي", "probability": 0.7880859375}, {"start": 3502.01, "end": 3502.53, "word": " هي", "probability": 0.83837890625}, {"start": 3502.53, "end": 3506.27, "word": " convergence", "probability": 0.187255859375}, {"start": 3506.27, "end": 3506.89, "word": " و", "probability": 0.7861328125}, {"start": 3506.89, "end": 3507.11, "word": " for", "probability": 0.57861328125}, {"start": 3507.11, "end": 3507.31, "word": " b", "probability": 0.422119140625}, {"start": 3507.31, "end": 3507.69, "word": " بيساوي", "probability": 0.496630859375}, {"start": 3507.69, "end": 3508.25, "word": " واحد", "probability": 0.9765625}, {"start": 3508.25, "end": 3508.45, "word": " اللي", "probability": 0.927978515625}, {"start": 3508.45, "end": 3508.67, "word": " هو", "probability": 0.9697265625}, {"start": 3508.67, "end": 3508.97, "word": " no", "probability": 0.7607421875}, {"start": 3508.97, "end": 3510.55, "word": " conclusion", "probability": 0.90380859375}, {"start": 3510.55, "end": 3511.21, "word": " طيب", "probability": 0.7562662760416666}, {"start": 3511.21, "end": 3511.57, "word": " نيجي", "probability": 0.8948974609375}, {"start": 3511.57, "end": 3512.01, "word": " الأن", "probability": 0.633544921875}, {"start": 3512.01, "end": 3512.79, "word": " لمثال", "probability": 0.9264322916666666}, {"start": 3512.79, "end": 3513.27, "word": " آخر", "probability": 0.826171875}, {"start": 3513.27, "end": 3514.31, "word": " use", "probability": 0.869140625}, {"start": 3514.31, "end": 3515.11, "word": " the", "probability": 0.853515625}, {"start": 3515.11, "end": 3515.55, "word": " Raab's", "probability": 0.5525919596354166}, {"start": 3515.55, "end": 3516.03, "word": " test", "probability": 0.734375}], "temperature": 1.0}, {"id": 157, "seek": 353678, "start": 3517.32, "end": 3536.78, "text": "to the series summation اللي أمامنا اللي هو بنفس الأسلوب بدنا ناخد اللي هو limit ال Xn زائد واحد على Xn بساوي يعني بده يقولك أنه احنا ما .. ماظبطش معنى اللي هو مين ال ratio test العادي فبدنا نستخدم اللي هو مين الrobustest", "tokens": [1353, 264, 2638, 28811, 13672, 1829, 5551, 2304, 10943, 8315, 13672, 1829, 31439, 44945, 36178, 16247, 3794, 1211, 37746, 47525, 8315, 8717, 47283, 3215, 13672, 1829, 31439, 4948, 2423, 1783, 77, 30767, 16373, 3215, 36764, 24401, 15844, 1783, 77, 4724, 3794, 995, 45865, 37495, 22653, 47525, 3224, 7251, 39648, 4117, 14739, 3224, 1975, 5016, 8315, 19446, 4386, 19446, 19913, 3555, 9566, 8592, 20449, 1863, 7578, 13672, 1829, 31439, 3714, 9957, 2423, 8509, 1500, 18863, 995, 16254, 6156, 44510, 8315, 8717, 14851, 9778, 40448, 13672, 1829, 31439, 3714, 9957, 2423, 16614, 381, 377], "avg_logprob": -0.2370631790930225, "compression_ratio": 1.7326732673267327, "no_speech_prob": 5.84721565246582e-05, "words": [{"start": 3517.32, "end": 3517.6, "word": "to", "probability": 0.2296142578125}, {"start": 3517.6, "end": 3518.04, "word": " the", "probability": 0.720703125}, {"start": 3518.04, "end": 3518.4, "word": " series", "probability": 0.80322265625}, {"start": 3518.4, "end": 3519.0, "word": " summation", "probability": 0.52734375}, {"start": 3519.0, "end": 3519.18, "word": " اللي", "probability": 0.774169921875}, {"start": 3519.18, "end": 3519.74, "word": " أمامنا", "probability": 0.9217529296875}, {"start": 3519.74, "end": 3520.4, "word": " اللي", "probability": 0.937744140625}, {"start": 3520.4, "end": 3520.52, "word": " هو", "probability": 0.98779296875}, {"start": 3520.52, "end": 3520.92, "word": " بنفس", "probability": 0.973876953125}, {"start": 3520.92, "end": 3521.66, "word": " الأسلوب", "probability": 0.950927734375}, {"start": 3521.66, "end": 3522.04, "word": " بدنا", "probability": 0.884765625}, {"start": 3522.04, "end": 3522.52, "word": " ناخد", "probability": 0.9825846354166666}, {"start": 3522.52, "end": 3522.74, "word": " اللي", "probability": 0.8974609375}, {"start": 3522.74, "end": 3523.04, "word": " هو", "probability": 0.98095703125}, {"start": 3523.04, "end": 3525.04, "word": " limit", "probability": 0.83544921875}, {"start": 3525.04, "end": 3525.24, "word": " ال", "probability": 0.67919921875}, {"start": 3525.24, "end": 3525.64, "word": " Xn", "probability": 0.34722900390625}, {"start": 3525.64, "end": 3526.02, "word": " زائد", "probability": 0.8271484375}, {"start": 3526.02, "end": 3526.4, "word": " واحد", "probability": 0.7734375}, {"start": 3526.4, "end": 3526.6, "word": " على", "probability": 0.66650390625}, {"start": 3526.6, "end": 3527.22, "word": " Xn", "probability": 0.950439453125}, {"start": 3527.22, "end": 3528.24, "word": " بساوي", "probability": 0.8262939453125}, {"start": 3528.24, "end": 3528.64, "word": " يعني", "probability": 0.944580078125}, {"start": 3528.64, "end": 3528.9, "word": " بده", "probability": 0.39080810546875}, {"start": 3528.9, "end": 3529.22, "word": " يقولك", "probability": 0.9269205729166666}, {"start": 3529.22, "end": 3529.5, "word": " أنه", "probability": 0.569091796875}, {"start": 3529.5, "end": 3529.64, "word": " احنا", "probability": 0.8756510416666666}, {"start": 3529.64, "end": 3529.86, "word": " ما", "probability": 0.72802734375}, {"start": 3529.86, "end": 3530.0, "word": " ..", "probability": 0.4814453125}, {"start": 3530.0, "end": 3530.96, "word": " ماظبطش", "probability": 0.81767578125}, {"start": 3530.96, "end": 3531.52, "word": " معنى", "probability": 0.8228352864583334}, {"start": 3531.52, "end": 3531.72, "word": " اللي", "probability": 0.98876953125}, {"start": 3531.72, "end": 3531.94, "word": " هو", "probability": 0.98828125}, {"start": 3531.94, "end": 3532.3, "word": " مين", "probability": 0.685302734375}, {"start": 3532.3, "end": 3532.54, "word": " ال", "probability": 0.9716796875}, {"start": 3532.54, "end": 3532.8, "word": " ratio", "probability": 0.9794921875}, {"start": 3532.8, "end": 3533.16, "word": " test", "probability": 0.93115234375}, {"start": 3533.16, "end": 3533.72, "word": " العادي", "probability": 0.8234049479166666}, {"start": 3533.72, "end": 3534.6, "word": " فبدنا", "probability": 0.9025065104166666}, {"start": 3534.6, "end": 3535.22, "word": " نستخدم", "probability": 0.9957275390625}, {"start": 3535.22, "end": 3535.36, "word": " اللي", "probability": 0.989501953125}, {"start": 3535.36, "end": 3535.52, "word": " هو", "probability": 0.9833984375}, {"start": 3535.52, "end": 3535.92, "word": " مين", "probability": 0.951171875}, {"start": 3535.92, "end": 3536.78, "word": " الrobustest", "probability": 0.588165283203125}], "temperature": 1.0}, {"id": 158, "seek": 355872, "start": 3537.72, "end": 3558.72, "text": "طيب شوفوا معايا limit xn زائد واحد على xn ال xn زائد واحد اللي هو n زائد واحد على n زائد واحد كله تربيع زائد واحد فان تربيع زائد واحد على n اللي هي ال xn هذه لما جسمت طبعا و جلبت في الآخر فبصير عند ال n بساوي جسمت اللي هو هذه على n", "tokens": [9566, 1829, 3555, 13412, 38688, 14407, 20449, 995, 25528, 4948, 2031, 77, 30767, 16373, 3215, 36764, 24401, 15844, 2031, 77, 2423, 2031, 77, 30767, 16373, 3215, 36764, 24401, 13672, 1829, 31439, 297, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 28242, 3224, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 6156, 7649, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 297, 13672, 1829, 39896, 2423, 2031, 77, 29538, 5296, 15042, 10874, 38251, 2655, 23032, 3555, 3615, 995, 4032, 10874, 46152, 2655, 8978, 6024, 95, 34740, 6156, 3555, 9381, 13546, 43242, 2423, 297, 4724, 3794, 995, 45865, 10874, 38251, 2655, 13672, 1829, 31439, 29538, 15844, 297], "avg_logprob": -0.13066924778761063, "compression_ratio": 2.215909090909091, "no_speech_prob": 0.00014591217041015625, "words": [{"start": 3537.72, "end": 3538.12, "word": "طيب", "probability": 0.7672526041666666}, {"start": 3538.12, "end": 3538.5, "word": " شوفوا", "probability": 0.9163411458333334}, {"start": 3538.5, "end": 3538.78, "word": " معايا", "probability": 0.9254557291666666}, {"start": 3538.78, "end": 3539.06, "word": " limit", "probability": 0.8134765625}, {"start": 3539.06, "end": 3539.38, "word": " xn", "probability": 0.6240234375}, {"start": 3539.38, "end": 3539.64, "word": " زائد", "probability": 0.6605631510416666}, {"start": 3539.64, "end": 3539.84, "word": " واحد", "probability": 0.8828125}, {"start": 3539.84, "end": 3539.98, "word": " على", "probability": 0.55615234375}, {"start": 3539.98, "end": 3540.48, "word": " xn", "probability": 0.9638671875}, {"start": 3540.48, "end": 3541.26, "word": " ال", "probability": 0.68798828125}, {"start": 3541.26, "end": 3541.54, "word": " xn", "probability": 0.8173828125}, {"start": 3541.54, "end": 3541.86, "word": " زائد", "probability": 0.9554036458333334}, {"start": 3541.86, "end": 3542.3, "word": " واحد", "probability": 0.991455078125}, {"start": 3542.3, "end": 3542.5, "word": " اللي", "probability": 0.921142578125}, {"start": 3542.5, "end": 3542.68, "word": " هو", "probability": 0.95556640625}, {"start": 3542.68, "end": 3542.94, "word": " n", "probability": 0.79345703125}, {"start": 3542.94, "end": 3543.32, "word": " زائد", "probability": 0.9625651041666666}, {"start": 3543.32, "end": 3543.7, "word": " واحد", "probability": 0.988525390625}, {"start": 3543.7, "end": 3543.86, "word": " على", "probability": 0.83154296875}, {"start": 3543.86, "end": 3544.04, "word": " n", "probability": 0.95361328125}, {"start": 3544.04, "end": 3544.48, "word": " زائد", "probability": 0.96826171875}, {"start": 3544.48, "end": 3544.66, "word": " واحد", "probability": 0.987548828125}, {"start": 3544.66, "end": 3544.9, "word": " كله", "probability": 0.608154296875}, {"start": 3544.9, "end": 3545.26, "word": " تربيع", "probability": 0.83441162109375}, {"start": 3545.26, "end": 3545.64, "word": " زائد", "probability": 0.9894205729166666}, {"start": 3545.64, "end": 3546.14, "word": " واحد", "probability": 0.989990234375}, {"start": 3546.14, "end": 3546.8, "word": " فان", "probability": 0.902099609375}, {"start": 3546.8, "end": 3547.2, "word": " تربيع", "probability": 0.967529296875}, {"start": 3547.2, "end": 3547.52, "word": " زائد", "probability": 0.98486328125}, {"start": 3547.52, "end": 3547.88, "word": " واحد", "probability": 0.99267578125}, {"start": 3547.88, "end": 3548.04, "word": " على", "probability": 0.8642578125}, {"start": 3548.04, "end": 3548.34, "word": " n", "probability": 0.78564453125}, {"start": 3548.34, "end": 3548.62, "word": " اللي", "probability": 0.96337890625}, {"start": 3548.62, "end": 3548.82, "word": " هي", "probability": 0.78857421875}, {"start": 3548.82, "end": 3548.96, "word": " ال", "probability": 0.9462890625}, {"start": 3548.96, "end": 3549.38, "word": " xn", "probability": 0.969482421875}, {"start": 3549.38, "end": 3549.74, "word": " هذه", "probability": 0.2462158203125}, {"start": 3549.74, "end": 3550.34, "word": " لما", "probability": 0.94189453125}, {"start": 3550.34, "end": 3550.74, "word": " جسمت", "probability": 0.9112955729166666}, {"start": 3550.74, "end": 3551.04, "word": " طبعا", "probability": 0.885986328125}, {"start": 3551.04, "end": 3551.14, "word": " و", "probability": 0.78271484375}, {"start": 3551.14, "end": 3551.42, "word": " جلبت", "probability": 0.8597005208333334}, {"start": 3551.42, "end": 3551.54, "word": " في", "probability": 0.9140625}, {"start": 3551.54, "end": 3551.96, "word": " الآخر", "probability": 0.94482421875}, {"start": 3551.96, "end": 3552.82, "word": " فبصير", "probability": 0.9298095703125}, {"start": 3552.82, "end": 3553.04, "word": " عند", "probability": 0.86669921875}, {"start": 3553.04, "end": 3553.22, "word": " ال", "probability": 0.9521484375}, {"start": 3553.22, "end": 3553.36, "word": " n", "probability": 0.85009765625}, {"start": 3553.36, "end": 3553.96, "word": " بساوي", "probability": 0.85205078125}, {"start": 3553.96, "end": 3556.26, "word": " جسمت", "probability": 0.9225260416666666}, {"start": 3556.26, "end": 3556.46, "word": " اللي", "probability": 0.986083984375}, {"start": 3556.46, "end": 3556.88, "word": " هو", "probability": 0.9736328125}, {"start": 3556.88, "end": 3557.78, "word": " هذه", "probability": 0.6083984375}, {"start": 3557.78, "end": 3558.22, "word": " على", "probability": 0.90673828125}, {"start": 3558.22, "end": 3558.72, "word": " n", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 159, "seek": 358485, "start": 3559.49, "end": 3584.85, "text": "بصير عبارة عن هذه جسمتها على هذا الان زائد واحد على الان تطلع عبارة عن واحد زائد واحد على الان وهذه زي ما هي ان تربيع زائد واحد على هذه وهي ساوي limit هذا المقدار هنا برضه جسمت على مين على ان تربيع صار واحد زائد واحد على ان تربيع وهنا على ان تربيع صارت واحد زائد واحد على الان الكل تربيع زائد واحد على مين ان تربيع", "tokens": [3555, 9381, 13546, 6225, 3555, 9640, 3660, 18871, 29538, 10874, 38251, 2655, 11296, 15844, 23758, 2423, 7649, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 7649, 6055, 9566, 1211, 3615, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 7649, 37037, 24192, 30767, 1829, 19446, 39896, 16472, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 29538, 37037, 1829, 8608, 995, 45865, 4948, 23758, 9673, 28543, 9640, 34105, 4724, 43042, 3224, 10874, 38251, 2655, 15844, 3714, 9957, 15844, 16472, 6055, 2288, 21292, 3615, 20328, 9640, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 16472, 6055, 2288, 21292, 3615, 37037, 8315, 15844, 16472, 6055, 2288, 21292, 3615, 20328, 9640, 2655, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 7649, 2423, 28820, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 15844, 3714, 9957, 16472, 6055, 2288, 21292, 3615], "avg_logprob": -0.17881943782170615, "compression_ratio": 2.9732620320855614, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 3559.49, "end": 3559.97, "word": "بصير", "probability": 0.70751953125}, {"start": 3559.97, "end": 3560.35, "word": " عبارة", "probability": 0.980712890625}, {"start": 3560.35, "end": 3560.59, "word": " عن", "probability": 0.9912109375}, {"start": 3560.59, "end": 3560.89, "word": " هذه", "probability": 0.1568603515625}, {"start": 3560.89, "end": 3561.45, "word": " جسمتها", "probability": 0.5665283203125}, {"start": 3561.45, "end": 3561.57, "word": " على", "probability": 0.59716796875}, {"start": 3561.57, "end": 3561.93, "word": " هذا", "probability": 0.185302734375}, {"start": 3561.93, "end": 3562.41, "word": " الان", "probability": 0.20501708984375}, {"start": 3562.41, "end": 3562.71, "word": " زائد", "probability": 0.8015950520833334}, {"start": 3562.71, "end": 3562.99, "word": " واحد", "probability": 0.970703125}, {"start": 3562.99, "end": 3563.15, "word": " على", "probability": 0.8310546875}, {"start": 3563.15, "end": 3563.35, "word": " الان", "probability": 0.6083984375}, {"start": 3563.35, "end": 3563.69, "word": " تطلع", "probability": 0.8353271484375}, {"start": 3563.69, "end": 3563.91, "word": " عبارة", "probability": 0.9903564453125}, {"start": 3563.91, "end": 3564.05, "word": " عن", "probability": 0.97607421875}, {"start": 3564.05, "end": 3564.27, "word": " واحد", "probability": 0.984130859375}, {"start": 3564.27, "end": 3564.51, "word": " زائد", "probability": 0.97119140625}, {"start": 3564.51, "end": 3564.73, "word": " واحد", "probability": 0.989501953125}, {"start": 3564.73, "end": 3564.85, "word": " على", "probability": 0.8974609375}, {"start": 3564.85, "end": 3565.17, "word": " الان", "probability": 0.974365234375}, {"start": 3565.17, "end": 3565.99, "word": " وهذه", "probability": 0.5908203125}, {"start": 3565.99, "end": 3566.27, "word": " زي", "probability": 0.948974609375}, {"start": 3566.27, "end": 3566.33, "word": " ما", "probability": 0.93603515625}, {"start": 3566.33, "end": 3566.53, "word": " هي", "probability": 0.75439453125}, {"start": 3566.53, "end": 3566.67, "word": " ان", "probability": 0.413818359375}, {"start": 3566.67, "end": 3567.01, "word": " تربيع", "probability": 0.8470458984375}, {"start": 3567.01, "end": 3567.25, "word": " زائد", "probability": 0.9729817708333334}, {"start": 3567.25, "end": 3567.47, "word": " واحد", "probability": 0.99072265625}, {"start": 3567.47, "end": 3567.65, "word": " على", "probability": 0.9111328125}, {"start": 3567.65, "end": 3568.01, "word": " هذه", "probability": 0.75537109375}, {"start": 3568.01, "end": 3568.91, "word": " وهي", "probability": 0.798583984375}, {"start": 3568.91, "end": 3569.23, "word": " ساوي", "probability": 0.8009440104166666}, {"start": 3569.23, "end": 3569.71, "word": " limit", "probability": 0.81787109375}, {"start": 3569.71, "end": 3570.73, "word": " هذا", "probability": 0.5615234375}, {"start": 3570.73, "end": 3571.47, "word": " المقدار", "probability": 0.9720052083333334}, {"start": 3571.47, "end": 3572.49, "word": " هنا", "probability": 0.64697265625}, {"start": 3572.49, "end": 3573.01, "word": " برضه", "probability": 0.97265625}, {"start": 3573.01, "end": 3573.53, "word": " جسمت", "probability": 0.91845703125}, {"start": 3573.53, "end": 3573.77, "word": " على", "probability": 0.54150390625}, {"start": 3573.77, "end": 3574.07, "word": " مين", "probability": 0.901611328125}, {"start": 3574.07, "end": 3574.27, "word": " على", "probability": 0.900390625}, {"start": 3574.27, "end": 3574.47, "word": " ان", "probability": 0.82861328125}, {"start": 3574.47, "end": 3575.05, "word": " تربيع", "probability": 0.934814453125}, {"start": 3575.05, "end": 3575.63, "word": " صار", "probability": 0.94384765625}, {"start": 3575.63, "end": 3576.13, "word": " واحد", "probability": 0.991455078125}, {"start": 3576.13, "end": 3576.49, "word": " زائد", "probability": 0.9934895833333334}, {"start": 3576.49, "end": 3576.77, "word": " واحد", "probability": 0.9931640625}, {"start": 3576.77, "end": 3576.89, "word": " على", "probability": 0.90771484375}, {"start": 3576.89, "end": 3577.03, "word": " ان", "probability": 0.65380859375}, {"start": 3577.03, "end": 3577.59, "word": " تربيع", "probability": 0.94287109375}, {"start": 3577.59, "end": 3578.17, "word": " وهنا", "probability": 0.822021484375}, {"start": 3578.17, "end": 3578.31, "word": " على", "probability": 0.92431640625}, {"start": 3578.31, "end": 3578.47, "word": " ان", "probability": 0.86279296875}, {"start": 3578.47, "end": 3578.81, "word": " تربيع", "probability": 0.9737548828125}, {"start": 3578.81, "end": 3579.23, "word": " صارت", "probability": 0.98876953125}, {"start": 3579.23, "end": 3579.67, "word": " واحد", "probability": 0.993896484375}, {"start": 3579.67, "end": 3579.97, "word": " زائد", "probability": 0.9894205729166666}, {"start": 3579.97, "end": 3580.29, "word": " واحد", "probability": 0.994384765625}, {"start": 3580.29, "end": 3580.41, "word": " على", "probability": 0.9462890625}, {"start": 3580.41, "end": 3580.67, "word": " الان", "probability": 0.932373046875}, {"start": 3580.67, "end": 3581.29, "word": " الكل", "probability": 0.6685791015625}, {"start": 3581.29, "end": 3582.09, "word": " تربيع", "probability": 0.9744873046875}, {"start": 3582.09, "end": 3582.89, "word": " زائد", "probability": 0.98388671875}, {"start": 3582.89, "end": 3583.39, "word": " واحد", "probability": 0.99267578125}, {"start": 3583.39, "end": 3583.65, "word": " على", "probability": 0.904296875}, {"start": 3583.65, "end": 3584.11, "word": " مين", "probability": 0.972900390625}, {"start": 3584.11, "end": 3584.39, "word": " ان", "probability": 0.7861328125}, {"start": 3584.39, "end": 3584.85, "word": " تربيع", "probability": 0.941650390625}], "temperature": 1.0}, {"id": 160, "seek": 360812, "start": 3585.14, "end": 3608.12, "text": "لأن as n goes to infinity هذه واحد as n goes to infinity هذه واحد وهذه سفر وهذه واحد يعني المحصلة واحد اذا واحد على واحد بيسوء واحد الان اذا بقصه by corollary 926 does not apply او corollary 926 اللي هي ال ratio limit limit ratio limit ratio test", "tokens": [1211, 33456, 382, 297, 1709, 281, 13202, 29538, 36764, 24401, 382, 297, 1709, 281, 13202, 29538, 36764, 24401, 37037, 24192, 8608, 5172, 2288, 37037, 24192, 36764, 24401, 37495, 22653, 9673, 5016, 9381, 37977, 36764, 24401, 1975, 15730, 36764, 24401, 15844, 36764, 24401, 4724, 1829, 3794, 2407, 38207, 36764, 24401, 2423, 7649, 1975, 15730, 4724, 4587, 9381, 3224, 538, 1181, 1833, 822, 1722, 10880, 775, 406, 3079, 1975, 2407, 1181, 1833, 822, 1722, 10880, 13672, 1829, 39896, 2423, 8509, 4948, 4948, 8509, 4948, 8509, 1500], "avg_logprob": -0.3562499957926133, "compression_ratio": 1.8315217391304348, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 3585.14, "end": 3585.46, "word": "لأن", "probability": 0.71728515625}, {"start": 3585.46, "end": 3585.66, "word": " as", "probability": 0.298583984375}, {"start": 3585.66, "end": 3585.82, "word": " n", "probability": 0.802734375}, {"start": 3585.82, "end": 3586.02, "word": " goes", "probability": 0.81103515625}, {"start": 3586.02, "end": 3586.14, "word": " to", "probability": 0.9453125}, {"start": 3586.14, "end": 3586.56, "word": " infinity", "probability": 0.85107421875}, {"start": 3586.56, "end": 3587.08, "word": " هذه", "probability": 0.2408447265625}, {"start": 3587.08, "end": 3587.46, "word": " واحد", "probability": 0.882080078125}, {"start": 3587.46, "end": 3587.92, "word": " as", "probability": 0.06768798828125}, {"start": 3587.92, "end": 3588.1, "word": " n", "probability": 0.904296875}, {"start": 3588.1, "end": 3588.3, "word": " goes", "probability": 0.90283203125}, {"start": 3588.3, "end": 3588.42, "word": " to", "probability": 0.87890625}, {"start": 3588.42, "end": 3588.84, "word": " infinity", "probability": 0.88525390625}, {"start": 3588.84, "end": 3589.46, "word": " هذه", "probability": 0.82958984375}, {"start": 3589.46, "end": 3589.88, "word": " واحد", "probability": 0.9912109375}, {"start": 3589.88, "end": 3590.66, "word": " وهذه", "probability": 0.7734375}, {"start": 3590.66, "end": 3591.04, "word": " سفر", "probability": 0.7991536458333334}, {"start": 3591.04, "end": 3591.64, "word": " وهذه", "probability": 0.888427734375}, {"start": 3591.64, "end": 3591.94, "word": " واحد", "probability": 0.98828125}, {"start": 3591.94, "end": 3592.12, "word": " يعني", "probability": 0.908447265625}, {"start": 3592.12, "end": 3592.64, "word": " المحصلة", "probability": 0.74334716796875}, {"start": 3592.64, "end": 3593.06, "word": " واحد", "probability": 0.982666015625}, {"start": 3593.06, "end": 3593.46, "word": " اذا", "probability": 0.5736083984375}, {"start": 3593.46, "end": 3593.78, "word": " واحد", "probability": 0.978515625}, {"start": 3593.78, "end": 3593.9, "word": " على", "probability": 0.61767578125}, {"start": 3593.9, "end": 3594.18, "word": " واحد", "probability": 0.9921875}, {"start": 3594.18, "end": 3594.54, "word": " بيسوء", "probability": 0.649365234375}, {"start": 3594.54, "end": 3594.92, "word": " واحد", "probability": 0.9833984375}, {"start": 3594.92, "end": 3595.72, "word": " الان", "probability": 0.7127685546875}, {"start": 3595.72, "end": 3596.14, "word": " اذا", "probability": 0.6527099609375}, {"start": 3596.14, "end": 3596.96, "word": " بقصه", "probability": 0.5333251953125}, {"start": 3596.96, "end": 3597.1, "word": " by", "probability": 0.5908203125}, {"start": 3597.1, "end": 3597.82, "word": " corollary", "probability": 0.732421875}, {"start": 3597.82, "end": 3598.7, "word": " 926", "probability": 0.775146484375}, {"start": 3598.7, "end": 3599.76, "word": " does", "probability": 0.5380859375}, {"start": 3599.76, "end": 3600.18, "word": " not", "probability": 0.96826171875}, {"start": 3600.18, "end": 3600.92, "word": " apply", "probability": 0.89208984375}, {"start": 3600.92, "end": 3601.38, "word": " او", "probability": 0.8134765625}, {"start": 3601.38, "end": 3601.82, "word": " corollary", "probability": 0.7801106770833334}, {"start": 3601.82, "end": 3602.92, "word": " 926", "probability": 0.860595703125}, {"start": 3602.92, "end": 3603.12, "word": " اللي", "probability": 0.878662109375}, {"start": 3603.12, "end": 3603.26, "word": " هي", "probability": 0.93212890625}, {"start": 3603.26, "end": 3603.38, "word": " ال", "probability": 0.6689453125}, {"start": 3603.38, "end": 3603.7, "word": " ratio", "probability": 0.98779296875}, {"start": 3603.7, "end": 3604.22, "word": " limit", "probability": 0.2083740234375}, {"start": 3604.22, "end": 3605.14, "word": " limit", "probability": 0.3017578125}, {"start": 3605.14, "end": 3605.64, "word": " ratio", "probability": 0.81982421875}, {"start": 3605.64, "end": 3606.02, "word": " limit", "probability": 0.69140625}, {"start": 3606.02, "end": 3607.78, "word": " ratio", "probability": 0.771484375}, {"start": 3607.78, "end": 3608.12, "word": " test", "probability": 0.93115234375}], "temperature": 1.0}, {"id": 161, "seek": 362469, "start": 3608.29, "end": 3624.69, "text": "does not هنا اللي هو applied ليش؟ لأن ال limit اللي عندى واحد إذا صار عندى بدنا اللي هو نحاول نوجد طريقة أخرى لو جيت أو جدت اللي هو برضه بالرقابs test", "tokens": [48409, 406, 34105, 13672, 1829, 31439, 6456, 32239, 8592, 22807, 5296, 33456, 2423, 4948, 13672, 1829, 43242, 7578, 36764, 24401, 11933, 15730, 20328, 9640, 43242, 7578, 47525, 8315, 13672, 1829, 31439, 8717, 5016, 995, 12610, 8717, 29245, 3215, 23032, 16572, 28671, 5551, 34740, 7578, 45164, 10874, 36081, 34051, 10874, 3215, 2655, 13672, 1829, 31439, 4724, 43042, 3224, 20666, 2288, 4587, 16758, 82, 1500], "avg_logprob": -0.2330322323832661, "compression_ratio": 1.5217391304347827, "no_speech_prob": 3.874301910400391e-06, "words": [{"start": 3608.29, "end": 3608.83, "word": "does", "probability": 0.316162109375}, {"start": 3608.83, "end": 3609.45, "word": " not", "probability": 0.94970703125}, {"start": 3609.45, "end": 3610.01, "word": " هنا", "probability": 0.26953125}, {"start": 3610.01, "end": 3610.65, "word": " اللي", "probability": 0.73583984375}, {"start": 3610.65, "end": 3610.89, "word": " هو", "probability": 0.96337890625}, {"start": 3610.89, "end": 3611.53, "word": " applied", "probability": 0.74609375}, {"start": 3611.53, "end": 3612.83, "word": " ليش؟", "probability": 0.6131998697916666}, {"start": 3612.83, "end": 3613.13, "word": " لأن", "probability": 0.853759765625}, {"start": 3613.13, "end": 3613.23, "word": " ال", "probability": 0.5439453125}, {"start": 3613.23, "end": 3613.41, "word": " limit", "probability": 0.822265625}, {"start": 3613.41, "end": 3613.61, "word": " اللي", "probability": 0.9482421875}, {"start": 3613.61, "end": 3613.93, "word": " عندى", "probability": 0.601318359375}, {"start": 3613.93, "end": 3614.37, "word": " واحد", "probability": 0.972900390625}, {"start": 3614.37, "end": 3614.67, "word": " إذا", "probability": 0.753173828125}, {"start": 3614.67, "end": 3615.17, "word": " صار", "probability": 0.89794921875}, {"start": 3615.17, "end": 3615.77, "word": " عندى", "probability": 0.880859375}, {"start": 3615.77, "end": 3616.67, "word": " بدنا", "probability": 0.83837890625}, {"start": 3616.67, "end": 3616.97, "word": " اللي", "probability": 0.84033203125}, {"start": 3616.97, "end": 3617.17, "word": " هو", "probability": 0.98681640625}, {"start": 3617.17, "end": 3618.13, "word": " نحاول", "probability": 0.98291015625}, {"start": 3618.13, "end": 3618.95, "word": " نوجد", "probability": 0.9241536458333334}, {"start": 3618.95, "end": 3619.47, "word": " طريقة", "probability": 0.986328125}, {"start": 3619.47, "end": 3620.41, "word": " أخرى", "probability": 0.9747721354166666}, {"start": 3620.41, "end": 3620.71, "word": " لو", "probability": 0.90576171875}, {"start": 3620.71, "end": 3621.27, "word": " جيت", "probability": 0.762939453125}, {"start": 3621.27, "end": 3621.61, "word": " أو", "probability": 0.912109375}, {"start": 3621.61, "end": 3622.17, "word": " جدت", "probability": 0.9855143229166666}, {"start": 3622.17, "end": 3622.53, "word": " اللي", "probability": 0.987548828125}, {"start": 3622.53, "end": 3622.79, "word": " هو", "probability": 0.966796875}, {"start": 3622.79, "end": 3623.41, "word": " برضه", "probability": 0.9371744791666666}, {"start": 3623.41, "end": 3624.25, "word": " بالرقابs", "probability": 0.6130126953125}, {"start": 3624.25, "end": 3624.69, "word": " test", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 162, "seek": 365269, "start": 3625.15, "end": 3652.69, "text": "اللي هو limit n في 1 ناقص xn زي 1 على xn اللي هو حاول توجد ال limit بنفس الأسلوب اللي فوق بس إلى هذا المقدار احسبهن 1 نقطص هذه وبعدين اضرب من فى ال n حاول توجد ال limit هتلاقيه بيساوي 1 إذا صار عندي اللي هو الرقابست برضه أنا اشمله does not apply لكن لو جيت لو جيت اتطلعت على الملاحظة التهلية", "tokens": [6027, 20292, 31439, 4948, 297, 8978, 502, 8717, 995, 4587, 9381, 2031, 77, 30767, 1829, 502, 15844, 2031, 77, 13672, 1829, 31439, 11331, 995, 12610, 33427, 7435, 3215, 2423, 4948, 44945, 36178, 16247, 3794, 1211, 37746, 13672, 1829, 6156, 30543, 4724, 3794, 30731, 23758, 9673, 28543, 9640, 1975, 5016, 35457, 3224, 1863, 502, 8717, 47432, 9381, 29538, 46599, 22488, 9957, 1975, 11242, 25513, 9154, 6156, 7578, 2423, 297, 11331, 995, 12610, 33427, 7435, 3215, 2423, 4948, 8032, 2655, 15040, 38436, 3224, 4724, 1829, 3794, 995, 45865, 502, 11933, 15730, 20328, 9640, 18871, 16254, 13672, 1829, 31439, 34892, 4587, 16758, 14851, 4724, 43042, 3224, 41850, 1975, 8592, 2304, 43761, 775, 406, 3079, 44381, 45164, 10874, 36081, 45164, 10874, 36081, 1975, 2655, 9566, 1211, 34268, 15844, 9673, 15040, 5016, 19913, 3660, 16712, 3224, 1211, 10632], "avg_logprob": -0.23390857719663363, "compression_ratio": 1.818867924528302, "no_speech_prob": 1.1324882507324219e-05, "words": [{"start": 3625.15, "end": 3625.39, "word": "اللي", "probability": 0.6151123046875}, {"start": 3625.39, "end": 3625.55, "word": " هو", "probability": 0.94189453125}, {"start": 3625.55, "end": 3625.93, "word": " limit", "probability": 0.888671875}, {"start": 3625.93, "end": 3626.19, "word": " n", "probability": 0.463134765625}, {"start": 3626.19, "end": 3626.33, "word": " في", "probability": 0.73095703125}, {"start": 3626.33, "end": 3626.59, "word": " 1", "probability": 0.75732421875}, {"start": 3626.59, "end": 3626.95, "word": " ناقص", "probability": 0.731201171875}, {"start": 3626.95, "end": 3627.21, "word": " xn", "probability": 0.73974609375}, {"start": 3627.21, "end": 3627.37, "word": " زي", "probability": 0.792236328125}, {"start": 3627.37, "end": 3627.55, "word": " 1", "probability": 0.82861328125}, {"start": 3627.55, "end": 3627.77, "word": " على", "probability": 0.459716796875}, {"start": 3627.77, "end": 3628.31, "word": " xn", "probability": 0.9736328125}, {"start": 3628.31, "end": 3628.93, "word": " اللي", "probability": 0.92626953125}, {"start": 3628.93, "end": 3629.13, "word": " هو", "probability": 0.98046875}, {"start": 3629.13, "end": 3629.85, "word": " حاول", "probability": 0.97021484375}, {"start": 3629.85, "end": 3630.27, "word": " توجد", "probability": 0.9195963541666666}, {"start": 3630.27, "end": 3630.39, "word": " ال", "probability": 0.8515625}, {"start": 3630.39, "end": 3630.55, "word": " limit", "probability": 0.833984375}, {"start": 3630.55, "end": 3630.85, "word": " بنفس", "probability": 0.814697265625}, {"start": 3630.85, "end": 3631.19, "word": " الأسلوب", "probability": 0.874755859375}, {"start": 3631.19, "end": 3631.35, "word": " اللي", "probability": 0.9619140625}, {"start": 3631.35, "end": 3631.65, "word": " فوق", "probability": 0.975830078125}, {"start": 3631.65, "end": 3631.95, "word": " بس", "probability": 0.964599609375}, {"start": 3631.95, "end": 3632.19, "word": " إلى", "probability": 0.6953125}, {"start": 3632.19, "end": 3632.37, "word": " هذا", "probability": 0.90625}, {"start": 3632.37, "end": 3632.87, "word": " المقدار", "probability": 0.9674479166666666}, {"start": 3632.87, "end": 3633.41, "word": " احسبهن", "probability": 0.7014892578125}, {"start": 3633.41, "end": 3633.65, "word": " 1", "probability": 0.642578125}, {"start": 3633.65, "end": 3634.11, "word": " نقطص", "probability": 0.6085611979166666}, {"start": 3634.11, "end": 3634.33, "word": " هذه", "probability": 0.6904296875}, {"start": 3634.33, "end": 3634.97, "word": " وبعدين", "probability": 0.726318359375}, {"start": 3634.97, "end": 3635.15, "word": " اضرب", "probability": 0.7610677083333334}, {"start": 3635.15, "end": 3635.27, "word": " من", "probability": 0.57177734375}, {"start": 3635.27, "end": 3635.41, "word": " فى", "probability": 0.604736328125}, {"start": 3635.41, "end": 3635.49, "word": " ال", "probability": 0.89501953125}, {"start": 3635.49, "end": 3635.61, "word": " n", "probability": 0.25390625}, {"start": 3635.61, "end": 3635.99, "word": " حاول", "probability": 0.9694010416666666}, {"start": 3635.99, "end": 3636.33, "word": " توجد", "probability": 0.9685872395833334}, {"start": 3636.33, "end": 3636.43, "word": " ال", "probability": 0.9521484375}, {"start": 3636.43, "end": 3636.61, "word": " limit", "probability": 0.982421875}, {"start": 3636.61, "end": 3637.13, "word": " هتلاقيه", "probability": 0.88388671875}, {"start": 3637.13, "end": 3637.47, "word": " بيساوي", "probability": 0.8328125}, {"start": 3637.47, "end": 3637.93, "word": " 1", "probability": 0.79541015625}, {"start": 3637.93, "end": 3638.61, "word": " إذا", "probability": 0.759765625}, {"start": 3638.61, "end": 3639.03, "word": " صار", "probability": 0.94091796875}, {"start": 3639.03, "end": 3639.41, "word": " عندي", "probability": 0.849853515625}, {"start": 3639.41, "end": 3639.71, "word": " اللي", "probability": 0.983642578125}, {"start": 3639.71, "end": 3639.93, "word": " هو", "probability": 0.9912109375}, {"start": 3639.93, "end": 3640.51, "word": " الرقابست", "probability": 0.516143798828125}, {"start": 3640.51, "end": 3641.01, "word": " برضه", "probability": 0.7657877604166666}, {"start": 3641.01, "end": 3641.23, "word": " أنا", "probability": 0.39599609375}, {"start": 3641.23, "end": 3641.83, "word": " اشمله", "probability": 0.74444580078125}, {"start": 3641.83, "end": 3642.53, "word": " does", "probability": 0.73095703125}, {"start": 3642.53, "end": 3643.17, "word": " not", "probability": 0.96728515625}, {"start": 3643.17, "end": 3643.87, "word": " apply", "probability": 0.89404296875}, {"start": 3643.87, "end": 3644.87, "word": " لكن", "probability": 0.8916015625}, {"start": 3644.87, "end": 3645.17, "word": " لو", "probability": 0.9775390625}, {"start": 3645.17, "end": 3645.83, "word": " جيت", "probability": 0.985107421875}, {"start": 3645.83, "end": 3648.75, "word": " لو", "probability": 0.7763671875}, {"start": 3648.75, "end": 3649.13, "word": " جيت", "probability": 0.98974609375}, {"start": 3649.13, "end": 3649.83, "word": " اتطلعت", "probability": 0.792138671875}, {"start": 3649.83, "end": 3651.31, "word": " على", "probability": 0.91845703125}, {"start": 3651.31, "end": 3652.09, "word": " الملاحظة", "probability": 0.98740234375}, {"start": 3652.09, "end": 3652.69, "word": " التهلية", "probability": 0.8355712890625}], "temperature": 1.0}, {"id": 163, "seek": 366840, "start": 3653.66, "end": 3668.4, "text": "أبد نوجد حلل أمر XN زياد واحد على XN هتلاقي N زياد واحد على N زياد واحد كل تربيع زياد واحد في N تربيع زياد واحد على N هذا اللي فوق هذا اللي هي XN زياد واحد وهذا مقلوب من XN", "tokens": [10721, 44510, 8717, 29245, 3215, 11331, 1211, 1211, 5551, 29973, 1783, 45, 30767, 1829, 18513, 36764, 24401, 15844, 1783, 45, 8032, 2655, 15040, 38436, 426, 30767, 1829, 18513, 36764, 24401, 15844, 426, 30767, 1829, 18513, 36764, 24401, 28242, 6055, 2288, 21292, 3615, 30767, 1829, 18513, 36764, 24401, 8978, 426, 6055, 2288, 21292, 3615, 30767, 1829, 18513, 36764, 24401, 15844, 426, 23758, 13672, 1829, 6156, 30543, 23758, 13672, 1829, 39896, 1783, 45, 30767, 1829, 18513, 36764, 24401, 37037, 15730, 3714, 4587, 1211, 37746, 9154, 1783, 45], "avg_logprob": -0.24164243666238563, "compression_ratio": 2.246153846153846, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 3653.66, "end": 3654.14, "word": "أبد", "probability": 0.400634765625}, {"start": 3654.14, "end": 3654.56, "word": " نوجد", "probability": 0.5913899739583334}, {"start": 3654.56, "end": 3654.96, "word": " حلل", "probability": 0.6809895833333334}, {"start": 3654.96, "end": 3655.34, "word": " أمر", "probability": 0.829345703125}, {"start": 3655.34, "end": 3656.1, "word": " XN", "probability": 0.352294921875}, {"start": 3656.1, "end": 3656.4, "word": " زياد", "probability": 0.44952392578125}, {"start": 3656.4, "end": 3656.64, "word": " واحد", "probability": 0.822265625}, {"start": 3656.64, "end": 3656.76, "word": " على", "probability": 0.70166015625}, {"start": 3656.76, "end": 3657.28, "word": " XN", "probability": 0.94873046875}, {"start": 3657.28, "end": 3658.22, "word": " هتلاقي", "probability": 0.911865234375}, {"start": 3658.22, "end": 3658.34, "word": " N", "probability": 0.1534423828125}, {"start": 3658.34, "end": 3658.64, "word": " زياد", "probability": 0.9560546875}, {"start": 3658.64, "end": 3658.96, "word": " واحد", "probability": 0.98486328125}, {"start": 3658.96, "end": 3659.1, "word": " على", "probability": 0.76611328125}, {"start": 3659.1, "end": 3659.28, "word": " N", "probability": 0.97412109375}, {"start": 3659.28, "end": 3659.54, "word": " زياد", "probability": 0.9733072916666666}, {"start": 3659.54, "end": 3659.72, "word": " واحد", "probability": 0.988037109375}, {"start": 3659.72, "end": 3659.84, "word": " كل", "probability": 0.37158203125}, {"start": 3659.84, "end": 3660.24, "word": " تربيع", "probability": 0.7921142578125}, {"start": 3660.24, "end": 3660.52, "word": " زياد", "probability": 0.95166015625}, {"start": 3660.52, "end": 3660.98, "word": " واحد", "probability": 0.98583984375}, {"start": 3660.98, "end": 3661.54, "word": " في", "probability": 0.6201171875}, {"start": 3661.54, "end": 3661.74, "word": " N", "probability": 0.7578125}, {"start": 3661.74, "end": 3662.24, "word": " تربيع", "probability": 0.962646484375}, {"start": 3662.24, "end": 3662.5, "word": " زياد", "probability": 0.9861653645833334}, {"start": 3662.5, "end": 3662.78, "word": " واحد", "probability": 0.98974609375}, {"start": 3662.78, "end": 3662.92, "word": " على", "probability": 0.857421875}, {"start": 3662.92, "end": 3663.1, "word": " N", "probability": 0.984375}, {"start": 3663.1, "end": 3663.3, "word": " هذا", "probability": 0.46337890625}, {"start": 3663.3, "end": 3663.44, "word": " اللي", "probability": 0.93798828125}, {"start": 3663.44, "end": 3663.74, "word": " فوق", "probability": 0.98583984375}, {"start": 3663.74, "end": 3664.6, "word": " هذا", "probability": 0.45263671875}, {"start": 3664.6, "end": 3664.74, "word": " اللي", "probability": 0.888671875}, {"start": 3664.74, "end": 3664.92, "word": " هي", "probability": 0.779296875}, {"start": 3664.92, "end": 3665.34, "word": " XN", "probability": 0.7099609375}, {"start": 3665.34, "end": 3665.64, "word": " زياد", "probability": 0.9578450520833334}, {"start": 3665.64, "end": 3666.06, "word": " واحد", "probability": 0.992431640625}, {"start": 3666.06, "end": 3666.76, "word": " وهذا", "probability": 0.72265625}, {"start": 3666.76, "end": 3667.28, "word": " مقلوب", "probability": 0.9140625}, {"start": 3667.28, "end": 3667.64, "word": " من", "probability": 0.99267578125}, {"start": 3667.64, "end": 3668.4, "word": " XN", "probability": 0.8583984375}], "temperature": 1.0}, {"id": 164, "seek": 368442, "start": 3669.2, "end": 3684.42, "text": "الان لو جيت حسبت هذه جرب انت احسبلي اثبتلي انه it is an exercise to show that ال XN زيادة واحدة لل XN انه هذا المقدار هي اللي طلع عندى هتلاقيه اكبر او سوى اناقص واحد على مين على ان", "tokens": [6027, 7649, 45164, 10874, 36081, 11331, 35457, 2655, 29538, 10874, 25513, 16472, 2655, 1975, 5016, 35457, 20292, 1975, 12984, 3555, 2655, 20292, 16472, 3224, 309, 307, 364, 5380, 281, 855, 300, 2423, 1783, 45, 30767, 1829, 18513, 3660, 36764, 24401, 3660, 24976, 1783, 45, 16472, 3224, 23758, 9673, 28543, 9640, 39896, 13672, 1829, 23032, 1211, 3615, 43242, 7578, 8032, 2655, 15040, 38436, 3224, 1975, 4117, 26890, 1975, 2407, 8608, 2407, 7578, 1975, 8315, 4587, 9381, 36764, 24401, 15844, 3714, 9957, 15844, 16472], "avg_logprob": -0.2383283067898578, "compression_ratio": 1.5668449197860963, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 3669.2, "end": 3669.6, "word": "الان", "probability": 0.73291015625}, {"start": 3669.6, "end": 3669.8, "word": " لو", "probability": 0.84033203125}, {"start": 3669.8, "end": 3670.08, "word": " جيت", "probability": 0.918212890625}, {"start": 3670.08, "end": 3670.62, "word": " حسبت", "probability": 0.759765625}, {"start": 3670.62, "end": 3671.04, "word": " هذه", "probability": 0.85498046875}, {"start": 3671.04, "end": 3672.42, "word": " جرب", "probability": 0.730224609375}, {"start": 3672.42, "end": 3672.92, "word": " انت", "probability": 0.764404296875}, {"start": 3672.92, "end": 3673.96, "word": " احسبلي", "probability": 0.937744140625}, {"start": 3673.96, "end": 3674.8, "word": " اثبتلي", "probability": 0.96611328125}, {"start": 3674.8, "end": 3675.26, "word": " انه", "probability": 0.903076171875}, {"start": 3675.26, "end": 3675.68, "word": " it", "probability": 0.7373046875}, {"start": 3675.68, "end": 3675.84, "word": " is", "probability": 0.81640625}, {"start": 3675.84, "end": 3676.06, "word": " an", "probability": 0.84326171875}, {"start": 3676.06, "end": 3676.64, "word": " exercise", "probability": 0.927734375}, {"start": 3676.64, "end": 3676.82, "word": " to", "probability": 0.95703125}, {"start": 3676.82, "end": 3677.04, "word": " show", "probability": 0.9609375}, {"start": 3677.04, "end": 3677.38, "word": " that", "probability": 0.93896484375}, {"start": 3677.38, "end": 3677.86, "word": " ال", "probability": 0.654296875}, {"start": 3677.86, "end": 3678.18, "word": " XN", "probability": 0.5076904296875}, {"start": 3678.18, "end": 3678.46, "word": " زيادة", "probability": 0.66229248046875}, {"start": 3678.46, "end": 3678.66, "word": " واحدة", "probability": 0.9539388020833334}, {"start": 3678.66, "end": 3678.74, "word": " لل", "probability": 0.25830078125}, {"start": 3678.74, "end": 3679.04, "word": " XN", "probability": 0.7314453125}, {"start": 3679.04, "end": 3679.22, "word": " انه", "probability": 0.5162353515625}, {"start": 3679.22, "end": 3679.42, "word": " هذا", "probability": 0.87841796875}, {"start": 3679.42, "end": 3679.88, "word": " المقدار", "probability": 0.9816080729166666}, {"start": 3679.88, "end": 3680.04, "word": " هي", "probability": 0.437255859375}, {"start": 3680.04, "end": 3680.2, "word": " اللي", "probability": 0.832763671875}, {"start": 3680.2, "end": 3680.46, "word": " طلع", "probability": 0.9140625}, {"start": 3680.46, "end": 3680.9, "word": " عندى", "probability": 0.817138671875}, {"start": 3680.9, "end": 3681.74, "word": " هتلاقيه", "probability": 0.90068359375}, {"start": 3681.74, "end": 3682.06, "word": " اكبر", "probability": 0.8409830729166666}, {"start": 3682.06, "end": 3682.2, "word": " او", "probability": 0.933837890625}, {"start": 3682.2, "end": 3682.4, "word": " سوى", "probability": 0.6910807291666666}, {"start": 3682.4, "end": 3682.86, "word": " اناقص", "probability": 0.7723388671875}, {"start": 3682.86, "end": 3683.28, "word": " واحد", "probability": 0.988037109375}, {"start": 3683.28, "end": 3683.48, "word": " على", "probability": 0.70556640625}, {"start": 3683.48, "end": 3683.9, "word": " مين", "probability": 0.908203125}, {"start": 3683.9, "end": 3684.18, "word": " على", "probability": 0.5556640625}, {"start": 3684.18, "end": 3684.42, "word": " ان", "probability": 0.69921875}], "temperature": 1.0}, {"id": 165, "seek": 370427, "start": 3684.99, "end": 3704.27, "text": "الآن مدام هذا أكبر من هذا وهذا عبارة عن اللي هو عبارة عن واحد ناقص واحد على ان therefore by her abstest اللي هي بيه the series هش ما لها diverse لأنه كتبت على صورة واحد ناقص واحد على ان وهذا ال A تساوي واحد", "tokens": [6027, 148, 48506, 3714, 3215, 10943, 23758, 5551, 4117, 26890, 9154, 23758, 37037, 15730, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 16472, 4412, 538, 720, 10823, 377, 13672, 1829, 39896, 4724, 1829, 3224, 264, 2638, 8032, 8592, 19446, 5296, 11296, 9521, 5296, 33456, 3224, 9122, 2655, 3555, 2655, 15844, 20328, 13063, 3660, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 16472, 37037, 15730, 2423, 316, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.271661924706264, "compression_ratio": 1.7741935483870968, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 3684.99, "end": 3685.51, "word": "الآن", "probability": 0.63232421875}, {"start": 3685.51, "end": 3686.95, "word": " مدام", "probability": 0.6459147135416666}, {"start": 3686.95, "end": 3687.17, "word": " هذا", "probability": 0.8447265625}, {"start": 3687.17, "end": 3687.55, "word": " أكبر", "probability": 0.92236328125}, {"start": 3687.55, "end": 3687.77, "word": " من", "probability": 0.98876953125}, {"start": 3687.77, "end": 3688.15, "word": " هذا", "probability": 0.96044921875}, {"start": 3688.15, "end": 3688.87, "word": " وهذا", "probability": 0.82373046875}, {"start": 3688.87, "end": 3689.41, "word": " عبارة", "probability": 0.993408203125}, {"start": 3689.41, "end": 3689.71, "word": " عن", "probability": 0.9970703125}, {"start": 3689.71, "end": 3690.31, "word": " اللي", "probability": 0.7008056640625}, {"start": 3690.31, "end": 3690.45, "word": " هو", "probability": 0.97265625}, {"start": 3690.45, "end": 3690.79, "word": " عبارة", "probability": 0.98193359375}, {"start": 3690.79, "end": 3690.99, "word": " عن", "probability": 0.98876953125}, {"start": 3690.99, "end": 3691.49, "word": " واحد", "probability": 0.95947265625}, {"start": 3691.49, "end": 3691.97, "word": " ناقص", "probability": 0.9564208984375}, {"start": 3691.97, "end": 3692.39, "word": " واحد", "probability": 0.979736328125}, {"start": 3692.39, "end": 3692.55, "word": " على", "probability": 0.83203125}, {"start": 3692.55, "end": 3692.91, "word": " ان", "probability": 0.255126953125}, {"start": 3692.91, "end": 3693.99, "word": " therefore", "probability": 0.5625}, {"start": 3693.99, "end": 3694.49, "word": " by", "probability": 0.60205078125}, {"start": 3694.49, "end": 3694.63, "word": " her", "probability": 0.6865234375}, {"start": 3694.63, "end": 3695.31, "word": " abstest", "probability": 0.28106689453125}, {"start": 3695.31, "end": 3695.49, "word": " اللي", "probability": 0.8876953125}, {"start": 3695.49, "end": 3695.71, "word": " هي", "probability": 0.9111328125}, {"start": 3695.71, "end": 3695.99, "word": " بيه", "probability": 0.8230794270833334}, {"start": 3695.99, "end": 3696.11, "word": " the", "probability": 0.44580078125}, {"start": 3696.11, "end": 3696.77, "word": " series", "probability": 0.91845703125}, {"start": 3696.77, "end": 3697.39, "word": " هش", "probability": 0.377685546875}, {"start": 3697.39, "end": 3697.57, "word": " ما", "probability": 0.498291015625}, {"start": 3697.57, "end": 3697.93, "word": " لها", "probability": 0.753173828125}, {"start": 3697.93, "end": 3698.71, "word": " diverse", "probability": 0.671875}, {"start": 3698.71, "end": 3699.01, "word": " لأنه", "probability": 0.77392578125}, {"start": 3699.01, "end": 3699.35, "word": " كتبت", "probability": 0.9879150390625}, {"start": 3699.35, "end": 3699.51, "word": " على", "probability": 0.6162109375}, {"start": 3699.51, "end": 3699.89, "word": " صورة", "probability": 0.96435546875}, {"start": 3699.89, "end": 3700.59, "word": " واحد", "probability": 0.9873046875}, {"start": 3700.59, "end": 3701.29, "word": " ناقص", "probability": 0.989990234375}, {"start": 3701.29, "end": 3701.79, "word": " واحد", "probability": 0.987060546875}, {"start": 3701.79, "end": 3702.01, "word": " على", "probability": 0.92333984375}, {"start": 3702.01, "end": 3702.35, "word": " ان", "probability": 0.7421875}, {"start": 3702.35, "end": 3703.05, "word": " وهذا", "probability": 0.4993896484375}, {"start": 3703.05, "end": 3703.19, "word": " ال", "probability": 0.485107421875}, {"start": 3703.19, "end": 3703.33, "word": " A", "probability": 0.238525390625}, {"start": 3703.33, "end": 3703.81, "word": " تساوي", "probability": 0.7633056640625}, {"start": 3703.81, "end": 3704.27, "word": " واحد", "probability": 0.984619140625}], "temperature": 1.0}, {"id": 166, "seek": 372331, "start": 3704.53, "end": 3723.31, "text": "معناته بالرقابس test هيكون ال series هذه اللي هي ال summation لل X and is not convergence is not absolutely convergence او بمعنى اخر diverse وبكون هيك احنا انهينا اللي هو section اللي هو تسعة اتنين والى لقاء اخر", "tokens": [2304, 3615, 8315, 47395, 20666, 2288, 4587, 16758, 3794, 1500, 39896, 30544, 2423, 2638, 29538, 13672, 1829, 39896, 2423, 28811, 24976, 1783, 293, 307, 406, 32181, 307, 406, 3122, 32181, 1975, 2407, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 9521, 4032, 3555, 30544, 39896, 4117, 1975, 5016, 8315, 16472, 3224, 1829, 8315, 13672, 1829, 31439, 3541, 13672, 1829, 31439, 6055, 3794, 27884, 1975, 2655, 1863, 9957, 4032, 6027, 7578, 5296, 4587, 16606, 1975, 34740], "avg_logprob": -0.268749996026357, "compression_ratio": 1.605263157894737, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3704.53, "end": 3705.03, "word": "معناته", "probability": 0.909912109375}, {"start": 3705.03, "end": 3705.71, "word": " بالرقابس", "probability": 0.702392578125}, {"start": 3705.71, "end": 3706.09, "word": " test", "probability": 0.51904296875}, {"start": 3706.09, "end": 3706.93, "word": " هيكون", "probability": 0.764404296875}, {"start": 3706.93, "end": 3707.09, "word": " ال", "probability": 0.67529296875}, {"start": 3707.09, "end": 3707.41, "word": " series", "probability": 0.8232421875}, {"start": 3707.41, "end": 3707.85, "word": " هذه", "probability": 0.79248046875}, {"start": 3707.85, "end": 3708.31, "word": " اللي", "probability": 0.707275390625}, {"start": 3708.31, "end": 3708.45, "word": " هي", "probability": 0.90087890625}, {"start": 3708.45, "end": 3708.55, "word": " ال", "probability": 0.476318359375}, {"start": 3708.55, "end": 3708.89, "word": " summation", "probability": 0.865234375}, {"start": 3708.89, "end": 3709.17, "word": " لل", "probability": 0.81201171875}, {"start": 3709.17, "end": 3709.45, "word": " X", "probability": 0.375732421875}, {"start": 3709.45, "end": 3709.79, "word": " and", "probability": 0.1962890625}, {"start": 3709.79, "end": 3710.53, "word": " is", "probability": 0.669921875}, {"start": 3710.53, "end": 3710.91, "word": " not", "probability": 0.94921875}, {"start": 3710.91, "end": 3711.57, "word": " convergence", "probability": 0.8671875}, {"start": 3711.57, "end": 3711.87, "word": " is", "probability": 0.4736328125}, {"start": 3711.87, "end": 3712.07, "word": " not", "probability": 0.94580078125}, {"start": 3712.07, "end": 3712.57, "word": " absolutely", "probability": 0.53125}, {"start": 3712.57, "end": 3713.75, "word": " convergence", "probability": 0.94580078125}, {"start": 3713.75, "end": 3714.27, "word": " او", "probability": 0.6290283203125}, {"start": 3714.27, "end": 3714.67, "word": " بمعنى", "probability": 0.98486328125}, {"start": 3714.67, "end": 3715.09, "word": " اخر", "probability": 0.808837890625}, {"start": 3715.09, "end": 3716.05, "word": " diverse", "probability": 0.76513671875}, {"start": 3716.05, "end": 3716.45, "word": " وبكون", "probability": 0.6255696614583334}, {"start": 3716.45, "end": 3716.73, "word": " هيك", "probability": 0.877685546875}, {"start": 3716.73, "end": 3717.31, "word": " احنا", "probability": 0.9773763020833334}, {"start": 3717.31, "end": 3718.43, "word": " انهينا", "probability": 0.720703125}, {"start": 3718.43, "end": 3718.71, "word": " اللي", "probability": 0.952880859375}, {"start": 3718.71, "end": 3719.11, "word": " هو", "probability": 0.9736328125}, {"start": 3719.11, "end": 3719.93, "word": " section", "probability": 0.86083984375}, {"start": 3719.93, "end": 3720.21, "word": " اللي", "probability": 0.93701171875}, {"start": 3720.21, "end": 3720.43, "word": " هو", "probability": 0.9736328125}, {"start": 3720.43, "end": 3720.79, "word": " تسعة", "probability": 0.824951171875}, {"start": 3720.79, "end": 3721.27, "word": " اتنين", "probability": 0.9700927734375}, {"start": 3721.27, "end": 3722.25, "word": " والى", "probability": 0.7470703125}, {"start": 3722.25, "end": 3722.85, "word": " لقاء", "probability": 0.9461263020833334}, {"start": 3722.85, "end": 3723.31, "word": " اخر", "probability": 0.890625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3724.573625, "duration_after_vad": 3679.8418749999887}