{"segments": [{"id": 1, "seek": 270, "start": 0.0, "end": 2.7, "text": "موسيقى", "tokens": [2304, 41779, 1829, 4587, 7578], "avg_logprob": -0.3805338591337204, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.0040130615234375, "words": [{"start": 0.0, "end": 2.7, "word": "موسيقى", "probability": 0.733740234375}], "temperature": 1.0}, {"id": 2, "seek": 3567, "start": 11.19, "end": 35.67, "text": "بسم الله الرحمن الرحيم المرة السابقة كنا بتكلم اخر حاجة عن limit comparison test قولنا limit comparison test هو عبارة عن ثلاث نقاط في عندي series أصلية بختار series أقارن معاها ال series هذه بكون معروفة بالنسبالي مسبقا هل هي converge او diverge", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 21136, 16758, 28671, 9122, 8315, 39894, 4117, 19528, 1975, 34740, 11331, 26108, 3660, 18871, 4948, 9660, 1500, 12174, 12610, 8315, 4948, 9660, 1500, 31439, 6225, 3555, 9640, 3660, 18871, 38637, 1211, 5718, 104, 8717, 4587, 41193, 8978, 18871, 16254, 2638, 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بروح بجسم ال two series الحد النوني في الكون الاولى على الحد النوني في التانية و بروح باخد ال limit لما ال n بدها تروح ل infinity", "tokens": [6027, 3794, 13546, 1829, 11622, 13672, 7578, 43242, 8315, 8032, 3215, 7578, 4724, 30544, 6225, 9640, 5172, 9957, 8032, 1211, 8032, 7578, 41881, 1975, 2407, 18558, 432, 46599, 6027, 2655, 6027, 1829, 4724, 32887, 5016, 4724, 7435, 38251, 2423, 732, 2638, 21542, 3215, 28239, 11536, 1829, 8978, 2423, 30544, 42963, 12610, 7578, 15844, 21542, 3215, 28239, 11536, 1829, 8978, 16712, 7649, 10632, 4032, 4724, 32887, 5016, 4724, 47283, 3215, 2423, 4948, 5296, 15042, 2423, 297, 47525, 11296, 6055, 32887, 5016, 5296, 13202], "avg_logprob": -0.26336597031857595, "compression_ratio": 1.7405405405405405, "no_speech_prob": 0.0, "words": [{"start": 38.099999999999994, "end": 38.94, "word": "السيريز", "probability": 0.6126953125}, {"start": 38.94, "end": 39.1, "word": " اللى", "probability": 0.672119140625}, {"start": 39.1, "end": 39.46, "word": " عندنا", 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"word": " الانفينيتي", "probability": 0.68218994140625}, {"start": 81.71, "end": 82.17, "word": " وتبعث", "probability": 0.540283203125}, {"start": 82.17, "end": 82.59, "word": " المقام", "probability": 0.939453125}, {"start": 82.59, "end": 82.79, "word": " by", "probability": 0.290283203125}, {"start": 82.79, "end": 83.21, "word": " there", "probability": 0.7568359375}, {"start": 83.21, "end": 87.55, "word": " وخمسة", "probability": 0.628076171875}, {"start": 87.55, "end": 88.05, "word": " امثلة", "probability": 0.8472900390625}, {"start": 88.05, "end": 88.53, "word": " وهذا", "probability": 0.6119384765625}, {"start": 88.53, "end": 88.73, "word": " هو", "probability": 0.72998046875}, {"start": 88.73, "end": 89.49, "word": " المثال", "probability": 0.8997395833333334}, {"start": 89.49, "end": 90.83, "word": " رقم", "probability": 0.8517252604166666}, {"start": 90.83, "end": 91.85, "word": " ستة", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 6, "seek": 11045, "start": 92.69, "end": 110.45, "text": "طيب بنروح نختار series نقارن معاها ال series اللي عندنا هذه يبقى بناء عليه مين بتفضل نقارن معاه ال series طبعا واحد على إيش على إنت كإيمة اللي هي ال converge صح؟", "tokens": [9566, 1829, 3555, 44945, 32887, 5016, 8717, 46456, 9640, 2638, 8717, 4587, 9640, 1863, 20449, 995, 11296, 2423, 2638, 13672, 1829, 43242, 8315, 29538, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 3714, 9957, 39894, 5172, 11242, 1211, 8717, 4587, 9640, 1863, 20449, 40294, 2423, 2638, 23032, 3555, 3615, 995, 36764, 24401, 15844, 11933, 1829, 8592, 15844, 11933, 29399, 9122, 28814, 32640, 3660, 13672, 1829, 39896, 2423, 41881, 20328, 5016, 22807], "avg_logprob": -0.2502200679040291, "compression_ratio": 1.6257668711656441, "no_speech_prob": 0.0, "words": [{"start": 92.69, "end": 93.19, "word": "طيب", "probability": 0.6275634765625}, {"start": 93.19, "end": 94.09, "word": " بنروح", "probability": 0.7997233072916666}, {"start": 94.09, "end": 94.55, "word": " نختار", "probability": 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191.25, "end": 191.75, "word": " على", "probability": 0.79150390625}, {"start": 191.75, "end": 192.17, "word": " N", "probability": 0.97705078125}, {"start": 192.17, "end": 192.63, "word": " تربية", "probability": 0.945068359375}], "temperature": 1.0}, {"id": 11, "seek": 20589, "start": 195.07, "end": 205.89, "text": "يبقى limit لما ال in tends to infinity لإن تربيع لإن ال in لكل تربيع على إن تكيب", "tokens": [1829, 3555, 4587, 7578, 4948, 5296, 15042, 2423, 294, 12258, 281, 13202, 5296, 28814, 1863, 6055, 2288, 21292, 3615, 5296, 28814, 1863, 2423, 294, 5296, 28820, 6055, 2288, 21292, 3615, 15844, 36145, 6055, 4117, 1829, 3555], "avg_logprob": -0.27956081725455617, "compression_ratio": 1.2659574468085106, "no_speech_prob": 0.0, "words": [{"start": 195.07, "end": 195.69, "word": "يبقى", "probability": 0.765380859375}, {"start": 195.69, "end": 196.15, "word": " limit", "probability": 0.638671875}, {"start": 196.15, "end": 196.99, "word": " لما", "probability": 0.83544921875}, {"start": 196.99, "end": 197.19, "word": " ال", "probability": 0.9384765625}, {"start": 197.19, "end": 197.41, "word": " in", "probability": 0.2232666015625}, {"start": 197.41, "end": 197.79, "word": " tends", "probability": 0.66259765625}, {"start": 197.79, "end": 198.07, "word": " to", "probability": 0.9345703125}, {"start": 198.07, "end": 198.71, "word": " infinity", "probability": 0.87548828125}, {"start": 198.71, "end": 199.75, "word": " لإن", "probability": 0.7044677734375}, {"start": 199.75, "end": 200.59, "word": " تربيع", "probability": 0.8463134765625}, {"start": 200.59, "end": 201.23, "word": " لإن", "probability": 0.9015299479166666}, {"start": 201.23, "end": 201.49, "word": " ال", "probability": 0.72998046875}, {"start": 201.49, "end": 201.87, "word": " in", "probability": 0.9599609375}, {"start": 201.87, "end": 202.49, "word": " لكل", "probability": 0.787109375}, {"start": 202.49, "end": 203.73, "word": " تربيع", "probability": 0.973388671875}, {"start": 203.73, "end": 204.39, "word": " على", "probability": 0.80615234375}, {"start": 204.39, "end": 205.09, "word": " إن", "probability": 0.3271484375}, {"start": 205.09, "end": 205.89, "word": " تكيب", "probability": 0.893798828125}], "temperature": 1.0}, {"id": 12, "seek": 23210, "start": 218.38, "end": 232.1, "text": "التعويض المباشر بيجيب لك infinity على infinity بيجيب نستخدم قاعدة lobital يبقى هنا بيستوي ال limit لما ال N tends to infinity لان اتنين", "tokens": [6027, 2655, 3615, 45865, 11242, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 5296, 4117, 13202, 15844, 13202, 4724, 1829, 7435, 1829, 3555, 8717, 14851, 9778, 40448, 12174, 995, 22488, 3660, 14366, 1686, 7251, 3555, 4587, 7578, 34105, 4724, 1829, 14851, 2407, 1829, 2423, 4948, 5296, 15042, 2423, 426, 12258, 281, 13202, 5296, 7649, 1975, 2655, 1863, 9957], "avg_logprob": -0.42343750496705373, "compression_ratio": 1.3904109589041096, "no_speech_prob": 0.0, "words": [{"start": 218.38, "end": 218.9, "word": "التعويض", "probability": 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{"start": 238.79, "end": 239.35, "word": " مشتقة", "probability": 0.9791666666666666}, {"start": 239.35, "end": 239.91, "word": " المقام", "probability": 0.97705078125}, {"start": 239.91, "end": 240.71, "word": " جداش", "probability": 0.87255859375}, {"start": 240.71, "end": 241.91, "word": " بواحد", "probability": 0.8450520833333334}, {"start": 241.91, "end": 242.23, "word": " يبجي", "probability": 0.5289306640625}, {"start": 242.23, "end": 242.81, "word": " أسارة", "probability": 0.74658203125}, {"start": 242.81, "end": 243.57, "word": " المسألة", "probability": 0.9638671875}, {"start": 243.57, "end": 244.07, "word": " اتنين", "probability": 0.8758544921875}, {"start": 244.07, "end": 244.39, "word": " هذا", "probability": 0.7587890625}, {"start": 244.39, "end": 245.09, "word": " constant", "probability": 0.91064453125}, {"start": 245.09, "end": 245.61, "word": " برا", "probability": 0.8857421875}, {"start": 245.61, "end": 245.77, "word": " ال", "probability": 0.88916015625}, {"start": 245.77, "end": 246.13, "word": " limit", "probability": 0.94189453125}, {"start": 246.13, "end": 246.91, "word": " وهي", "probability": 0.6923828125}, {"start": 246.91, "end": 247.33, "word": " limit", "probability": 0.97314453125}, {"start": 247.33, "end": 247.67, "word": " لما", "probability": 0.8974609375}, {"start": 247.67, "end": 247.81, "word": " ال", "probability": 0.96142578125}, {"start": 247.81, "end": 248.11, "word": " N", "probability": 0.943359375}, {"start": 248.11, "end": 248.45, "word": " tends", "probability": 0.2149658203125}, {"start": 248.45, "end": 248.61, "word": " to", "probability": 0.908203125}, {"start": 248.61, "end": 249.25, "word": " infinity", "probability": 0.8779296875}, {"start": 249.25, "end": 250.05, "word": " للن", "probability": 0.8766276041666666}, {"start": 250.05, "end": 250.43, "word": " ال", "probability": 0.8447265625}, {"start": 250.43, "end": 250.77, "word": " N", "probability": 0.9892578125}, {"start": 250.77, "end": 251.31, 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النقطة الثانية منه ال series مالها converge فبجي بقوله bye", "tokens": [10721, 12610, 36764, 24401, 3660, 8978, 16095, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 30767, 13546, 2407, 4032, 1829, 3794, 995, 45865, 30767, 13546, 2407, 2423, 7649, 28239, 31371, 7435, 3660, 30767, 13546, 2407, 6055, 3555, 34268, 9673, 4587, 10943, 41881, 7251, 3555, 4587, 7578, 44945, 16606, 15844, 2423, 4948, 39292, 644, 732, 28239, 47432, 3660, 6024, 104, 7649, 10632, 9154, 3224, 2423, 2638, 3714, 6027, 11296, 41881, 6156, 3555, 7435, 1829, 4724, 39648, 3224, 6543], "avg_logprob": -0.33163624934935837, "compression_ratio": 1.5961538461538463, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 261.6, "end": 262.72, "word": "أول", "probability": 0.481475830078125}, {"start": 262.72, "end": 263.34, "word": " واحدة", "probability": 0.8893229166666666}, {"start": 263.34, "end": 263.68, "word": " فيهم", "probability": 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{"start": 278.48, "end": 279.18, "word": " النقطة", "probability": 0.85693359375}, {"start": 279.18, "end": 279.7, "word": " الثانية", "probability": 0.932861328125}, {"start": 279.7, "end": 280.08, "word": " منه", "probability": 0.57916259765625}, {"start": 280.08, "end": 280.22, "word": " ال", "probability": 0.75830078125}, {"start": 280.22, "end": 280.46, "word": " series", "probability": 0.8662109375}, {"start": 280.46, "end": 281.02, "word": " مالها", "probability": 0.8025716145833334}, {"start": 281.02, "end": 282.18, "word": " converge", "probability": 0.43701171875}, {"start": 282.18, "end": 282.98, "word": " فبجي", "probability": 0.798583984375}, {"start": 282.98, "end": 283.7, "word": " بقوله", "probability": 0.9041341145833334}, {"start": 283.7, "end": 284.24, "word": " bye", "probability": 0.443115234375}], "temperature": 1.0}, {"id": 15, "seek": 30741, "start": 305.19, "end": 307.41, "text": "سؤال السابع", "tokens": [3794, 33604, 6027, 21136, 16758, 3615], "avg_logprob": -0.19461495535714285, "compression_ratio": 0.75, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 305.19, "end": 306.59, "word": "سؤال", "probability": 0.78466796875}, {"start": 306.59, "end": 307.41, "word": " السابع", "probability": 0.9593098958333334}], "temperature": 1.0}, {"id": 16, "seek": 33100, "start": 311.12, "end": 331.0, "text": "بيقول لي summation من n equal one to infinity لواحد ناقص cosine واحد على n بنشوف هل ال series هذي converge و لا diverse", "tokens": [3555, 1829, 39648, 32239, 28811, 9154, 297, 2681, 472, 281, 13202, 5296, 14407, 24401, 8717, 995, 4587, 9381, 23565, 36764, 24401, 15844, 297, 44945, 8592, 38688, 8032, 1211, 2423, 2638, 8032, 8848, 1829, 41881, 4032, 20193, 9521], "avg_logprob": -0.33347039003121226, "compression_ratio": 1.1954887218045114, "no_speech_prob": 0.0, "words": [{"start": 311.12, "end": 311.84, "word": "بيقول", "probability": 0.632080078125}, {"start": 311.84, "end": 312.1, "word": " لي", "probability": 0.2646484375}, {"start": 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10632, 8608, 6027, 3555, 36764, 24401, 15844, 16472, 2655, 12602, 21292, 3615, 37037, 8315, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 15844, 16472, 2655, 9122, 1829, 3555], "avg_logprob": -0.12605574807605227, "compression_ratio": 1.3908045977011494, "no_speech_prob": 0.0, "words": [{"start": 516.56, "end": 516.92, "word": "في", "probability": 0.70703125}, {"start": 516.92, "end": 517.62, "word": " تفاضل", "probability": 0.9625244140625}, {"start": 517.62, "end": 518.28, "word": " الزاوية", "probability": 0.949609375}, {"start": 518.28, "end": 518.92, "word": " سالب", "probability": 0.7703450520833334}, {"start": 518.92, "end": 519.44, "word": " واحد", "probability": 0.97998046875}, {"start": 519.44, "end": 519.82, "word": " على", "probability": 0.8134765625}, {"start": 519.82, "end": 520.48, "word": " انت", "probability": 0.738525390625}, {"start": 520.48, "end": 521.0, "word": " ربيع", "probability": 0.8860677083333334}, {"start": 521.0, "end": 521.82, "word": " وهنا", "probability": 0.73095703125}, {"start": 521.82, "end": 522.58, "word": " سالب", "probability": 0.9567057291666666}, {"start": 522.58, "end": 523.54, "word": " اتنين", "probability": 0.97607421875}, {"start": 523.54, "end": 524.22, "word": " على", "probability": 0.88427734375}, {"start": 524.22, "end": 525.22, "word": " انت", "probability": 0.90869140625}, {"start": 525.22, "end": 525.8, "word": " كيب", "probability": 0.8497721354166666}], "temperature": 1.0}, {"id": 26, "seek": 55515, "start": 527.79, "end": 555.15, "text": "بنختصر سالب واحد على N تربيع مع سالب واحد على N تربيع بيظل في المقام اتنين على N يعني صارت المسألة هي ال limit لما ال N tends to infinity لل sign واحد على N على اتنين على N سالب مع سالب واحد على N تربيع مع واحد على N تربيع يبقى صارت المسألة بهذا الشكل", "tokens": [3555, 1863, 46456, 9381, 2288, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 20449, 8608, 6027, 3555, 36764, 24401, 15844, 426, 6055, 2288, 21292, 3615, 4724, 1829, 19913, 1211, 8978, 9673, 4587, 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554.05, "end": 554.67, "word": " بهذا", "probability": 0.958740234375}, {"start": 554.67, "end": 555.15, "word": " الشكل", "probability": 0.989990234375}], "temperature": 1.0}, {"id": 27, "seek": 58105, "start": 555.74, "end": 581.06, "text": "تعود المباشر بيجيب لقداشر Zero على Zero يبقى Lobital كمان مرة يبقى هادي بدها ساوي هيفوت limit لما ال in tends to infinity لمشتقة البسط بكوسين واحد على in في مشتقة الزاوية بسالب واحد على in تربية وسالب اتنين على in تربية", "tokens": [2655, 3615, 23328, 9673, 3555, 33599, 2288, 4724, 1829, 7435, 1829, 3555, 5296, 28543, 33599, 2288, 17182, 15844, 17182, 7251, 3555, 4587, 7578, 30719, 1686, 9122, 2304, 7649, 3714, 25720, 7251, 3555, 4587, 7578, 8032, 995, 16254, 47525, 11296, 8608, 995, 45865, 39896, 5172, 35473, 4948, 5296, 15042, 2423, 294, 12258, 281, 13202, 32767, 8592, 2655, 28671, 29739, 3794, 9566, 4724, 4117, 41779, 9957, 36764, 24401, 15844, 294, 8978, 37893, 2655, 28671, 6024, 110, 995, 2407, 10632, 4724, 3794, 6027, 3555, 36764, 24401, 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{"start": 980.56, "end": 981.68, "word": " لغاية", "probability": 0.9896240234375}, {"start": 981.68, "end": 982.22, "word": " اربعة", "probability": 0.8035481770833334}, {"start": 982.22, "end": 982.38, "word": " و", "probability": 0.99267578125}, {"start": 982.38, "end": 983.38, "word": " خمسين", "probability": 0.8846435546875}, {"start": 983.38, "end": 984.4, "word": " الاد", "probability": 0.4097900390625}], "temperature": 1.0}, {"id": 46, "seek": 100401, "start": 1002.43, "end": 1004.01, "text": "هذا البرنامج موجود في مدينة مصر", "tokens": [3224, 15730, 2423, 26890, 8315, 2304, 7435, 3714, 29245, 23328, 8978, 3714, 3215, 9957, 3660, 3714, 9381, 2288], "avg_logprob": -1.0057565538506759, "compression_ratio": 0.95, "no_speech_prob": 0.07598876953125, "words": [{"start": 1002.4300000000001, "end": 1003.83, "word": "هذا", "probability": 0.204315185546875}, {"start": 1003.83, "end": 1004.01, "word": " البرنامج", "probability": 0.58714599609375}, {"start": 1004.01, "end": 1004.01, "word": " موجود", "probability": 0.3447672526041667}, {"start": 1004.01, "end": 1004.01, "word": " في", "probability": 0.541015625}, {"start": 1004.01, "end": 1004.01, "word": " مدينة", "probability": 0.6470947265625}, {"start": 1004.01, "end": 1004.01, "word": " مصر", "probability": 0.4189656575520833}], "temperature": 1.0}, {"id": 47, "seek": 103400, "start": 1007.6, "end": 1034.0, "text": "بنجي لقى ل section عشرة خمسة في عشرة خمسة هناخد الاختبارين اللي بالعت علينا واحد اسمه اختبار النسبة the ratio test والثاني اختبار الجذر النوني مش الحد النوني الجذر النوني اللي هو ال answer هو ال test يبقى عشرة خمسة اللي هو من the ratio", "tokens": [3555, 1863, 7435, 1829, 5296, 4587, 7578, 5296, 3541, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 8978, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 8032, 1863, 47283, 3215, 2423, 47283, 2655, 3555, 9640, 9957, 13672, 1829, 20666, 34268, 25894, 8315, 36764, 24401, 24525, 2304, 3224, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 264, 8509, 1500, 16070, 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"end": 1030.78, "word": " من", "probability": 0.978515625}, {"start": 1030.78, "end": 1031.82, "word": " the", "probability": 0.8740234375}, {"start": 1031.82, "end": 1034.0, "word": " ratio", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 48, "seek": 106433, "start": 1035.87, "end": 1064.33, "text": "and in throat tests يبقى اختبار النسبة واختبار الجذر النوني ناخد الاختبار الأول اللي هو the ratio test بيقول ال net summation على a n", "tokens": [474, 294, 12394, 6921, 7251, 3555, 4587, 7578, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 4032, 47283, 2655, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 1829, 8717, 47283, 3215, 2423, 47283, 2655, 3555, 9640, 16247, 12610, 13672, 1829, 31439, 264, 8509, 1500, 4724, 1829, 39648, 2423, 2533, 28811, 15844, 257, 297], "avg_logprob": -0.2759915842459752, "compression_ratio": 1.492537313432836, "no_speech_prob": 0.0, "words": [{"start": 1035.87, "end": 1036.81, "word": "and", "probability": 0.421630859375}, {"start": 1036.81, "end": 1038.55, "word": " in", "probability": 0.064453125}, {"start": 1038.55, "end": 1040.23, "word": " throat", "probability": 0.493408203125}, {"start": 1040.23, "end": 1041.73, "word": " tests", "probability": 0.72119140625}, {"start": 1041.73, "end": 1044.49, "word": " يبقى", "probability": 0.8441162109375}, {"start": 1044.49, "end": 1045.05, "word": " اختبار", "probability": 0.9642333984375}, {"start": 1045.05, "end": 1045.69, "word": " النسبة", "probability": 0.9777018229166666}, {"start": 1045.69, "end": 1046.61, "word": " واختبار", "probability": 0.89033203125}, {"start": 1046.61, "end": 1047.25, "word": " الجذر", "probability": 0.97265625}, {"start": 1047.25, "end": 1047.83, "word": " النوني", "probability": 0.8517252604166666}, {"start": 1047.83, "end": 1048.83, "word": " ناخد", "probability": 0.9417317708333334}, {"start": 1048.83, "end": 1049.57, "word": " الاختبار", "probability": 0.9396484375}, {"start": 1049.57, "end": 1050.47, "word": " الأول", "probability": 0.772705078125}, {"start": 1050.47, "end": 1051.53, "word": " اللي", "probability": 0.80517578125}, {"start": 1051.53, "end": 1051.83, "word": " هو", "probability": 0.9755859375}, {"start": 1051.83, "end": 1052.07, "word": " the", "probability": 0.7041015625}, {"start": 1052.07, "end": 1053.11, "word": " ratio", "probability": 0.95947265625}, {"start": 1053.11, "end": 1054.89, "word": " test", "probability": 0.88818359375}, {"start": 1054.89, "end": 1059.81, "word": " بيقول", "probability": 0.9093424479166666}, {"start": 1059.81, "end": 1060.01, "word": " ال", "probability": 0.43505859375}, {"start": 1060.01, "end": 1060.39, "word": " net", "probability": 0.138427734375}, {"start": 1060.39, "end": 1062.37, "word": " summation", "probability": 0.74267578125}, {"start": 1062.37, "end": 1063.37, "word": " على", "probability": 0.74755859375}, {"start": 1063.37, "end": 1063.79, "word": " a", "probability": 0.58935546875}, {"start": 1063.79, "end": 1064.33, "word": " n", "probability": 0.47607421875}], "temperature": 1.0}, {"id": 49, "seek": 109263, "start": 1067.41, "end": 1092.63, "text": "بسيريز with positive terms سيريز with positive terms and suppose that and suppose that", "tokens": [3555, 3794, 13546, 1829, 11622, 365, 3353, 2115, 8608, 13546, 1829, 11622, 365, 3353, 2115, 293, 7297, 300, 293, 7297, 300], "avg_logprob": -0.3069957481189208, "compression_ratio": 1.6724137931034482, "no_speech_prob": 0.0, "words": [{"start": 1067.4099999999999, "end": 1068.81, "word": "بسيريز", "probability": 0.696142578125}, {"start": 1068.81, "end": 1070.21, "word": " with", "probability": 0.135009765625}, {"start": 1070.21, "end": 1072.07, "word": " positive", "probability": 0.90673828125}, {"start": 1072.07, "end": 1075.17, "word": " terms", "probability": 0.8818359375}, {"start": 1075.17, "end": 1080.05, "word": " سيريز", "probability": 0.8226318359375}, {"start": 1080.05, "end": 1080.31, "word": " with", "probability": 0.8994140625}, {"start": 1080.31, "end": 1080.85, "word": " positive", 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36764, 24401, 264, 2638, 28811, 15844, 257, 297, 41881], "avg_logprob": -0.41570722664657395, "compression_ratio": 1.2063492063492063, "no_speech_prob": 0.0, "words": [{"start": 1097.43, "end": 1098.31, "word": "limit", "probability": 0.530029296875}, {"start": 1098.31, "end": 1099.79, "word": " لما", "probability": 0.802734375}, {"start": 1099.79, "end": 1100.03, "word": " ال", "probability": 0.90478515625}, {"start": 1100.03, "end": 1100.31, "word": " n", "probability": 0.1326904296875}, {"start": 1100.31, "end": 1100.73, "word": " tends", "probability": 0.6337890625}, {"start": 1100.73, "end": 1101.01, "word": " to", "probability": 0.90234375}, {"start": 1101.01, "end": 1101.97, "word": " infinity", "probability": 0.869140625}, {"start": 1101.97, "end": 1103.57, "word": " لل", "probability": 0.6435546875}, {"start": 1103.57, "end": 1104.15, "word": " a", "probability": 0.68359375}, {"start": 1104.15, "end": 1104.83, "word": " n", "probability": 0.83935546875}, {"start": 1104.83, 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1179.59, "text": "the test is inconclusive او fail بيفشل افرط ساوي واحد نمرا اتنين the inferred test", "tokens": [3322, 1500, 307, 20972, 66, 7233, 1975, 2407, 3061, 4724, 33911, 8592, 1211, 1975, 5172, 2288, 9566, 8608, 995, 45865, 36764, 24401, 8717, 2304, 23557, 1975, 2655, 1863, 9957, 264, 1536, 260, 986, 1500], "avg_logprob": -0.31718749489103043, "compression_ratio": 1.0476190476190477, "no_speech_prob": 0.0, "words": [{"start": 1151.23, "end": 1151.71, "word": "the", "probability": 0.5078125}, {"start": 1151.71, "end": 1153.09, "word": " test", "probability": 0.896484375}, {"start": 1153.09, "end": 1154.81, "word": " is", "probability": 0.94287109375}, {"start": 1154.81, "end": 1157.97, "word": " inconclusive", "probability": 0.9142252604166666}, {"start": 1157.97, "end": 1160.15, "word": " او", "probability": 0.637939453125}, {"start": 1160.15, "end": 1160.95, "word": " fail", "probability": 0.64453125}, {"start": 1160.95, "end": 1163.09, "word": " بيفشل", "probability": 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"avg_logprob": -0.5458559886268948, "compression_ratio": 1.1012658227848102, "no_speech_prob": 0.0, "words": [{"start": 1185.28, "end": 1186.2, "word": "انتروت", "probability": 0.47998046875}, {"start": 1186.2, "end": 1186.58, "word": " تست", "probability": 0.818115234375}, {"start": 1186.58, "end": 1191.4, "word": " بيقول", "probability": 0.5602213541666666}, {"start": 1191.4, "end": 1191.9, "word": " لات", "probability": 0.3172607421875}, {"start": 1191.9, "end": 1197.48, "word": " summation", "probability": 0.59228515625}, {"start": 1197.48, "end": 1200.4, "word": " على", "probability": 0.6748046875}, {"start": 1200.4, "end": 1200.8, "word": " a", "probability": 0.418701171875}, {"start": 1200.8, "end": 1201.32, "word": " n", "probability": 0.60888671875}, {"start": 1201.32, "end": 1202.58, "word": " ب", "probability": 0.91650390625}, {"start": 1202.58, "end": 1203.92, "word": " a", "probability": 0.90283203125}, {"start": 1203.92, "end": 1205.12, "word": " series", "probability": 0.8486328125}, {"start": 1205.12, "end": 1207.22, "word": " ب", "probability": 0.84130859375}, {"start": 1207.22, "end": 1207.86, "word": " a", "probability": 0.90380859375}, {"start": 1207.86, "end": 1208.52, "word": " series", "probability": 0.92822265625}, {"start": 1208.52, "end": 1210.2, "word": " with", "probability": 0.9296875}], "temperature": 1.0}, {"id": 54, "seek": 124026, "start": 1211.88, "end": 1240.26, "text": "الـ a n greater than or equal to zero for n greater than capital N and suppose that وافترض انه limit الجذري النوني", "tokens": [6027, 39184, 257, 297, 5044, 813, 420, 2681, 281, 4018, 337, 297, 5044, 813, 4238, 426, 293, 7297, 300, 4032, 31845, 2655, 43042, 16472, 3224, 4948, 25724, 8848, 16572, 28239, 11536, 1829], "avg_logprob": -0.26017992424242425, "compression_ratio": 1.1596638655462186, "no_speech_prob": 0.0, "words": [{"start": 1211.88, "end": 1212.42, "word": "الـ", "probability": 0.47021484375}, {"start": 1212.42, "end": 1212.76, "word": " a", "probability": 0.2147216796875}, {"start": 1212.76, "end": 1213.38, "word": " n", "probability": 0.56103515625}, {"start": 1213.38, "end": 1214.74, "word": " greater", "probability": 0.465576171875}, {"start": 1214.74, "end": 1215.56, "word": " than", "probability": 0.9541015625}, {"start": 1215.56, "end": 1215.98, "word": " or", "probability": 0.94775390625}, {"start": 1215.98, "end": 1216.32, "word": " equal", "probability": 0.9384765625}, {"start": 1216.32, "end": 1216.86, "word": " to", "probability": 0.98681640625}, {"start": 1216.86, "end": 1217.42, "word": " zero", "probability": 0.65478515625}, {"start": 1217.42, "end": 1219.28, "word": " for", "probability": 0.88037109375}, {"start": 1219.28, "end": 1221.38, "word": " n", "probability": 0.8232421875}, {"start": 1221.38, "end": 1222.38, "word": " greater", "probability": 0.900390625}, {"start": 1222.38, "end": 1223.12, "word": " than", "probability": 0.9609375}, {"start": 1223.12, "end": 1223.94, "word": " capital", "probability": 0.85400390625}, {"start": 1223.94, "end": 1224.48, "word": " N", "probability": 0.8037109375}, {"start": 1224.48, "end": 1226.74, "word": " and", "probability": 0.45166015625}, {"start": 1226.74, "end": 1228.92, "word": " suppose", "probability": 0.87451171875}, {"start": 1228.92, "end": 1229.92, "word": " that", "probability": 0.92529296875}, {"start": 1229.92, "end": 1233.64, "word": " وافترض", "probability": 0.8465576171875}, {"start": 1233.64, "end": 1234.6, "word": " انه", "probability": 0.7186279296875}, {"start": 1234.6, "end": 1237.08, "word": " limit", "probability": 0.95068359375}, {"start": 1237.08, "end": 1239.56, "word": " الجذري", "probability": 0.9187825520833334}, {"start": 1239.56, "end": 1240.26, "word": " النوني", "probability": 0.8937174479166666}], "temperature": 1.0}, {"id": 55, "seek": 124698, "start": 1240.8, "end": 1246.98, "text": "للحد إنني لما ال in tends to infinity يساوي را", "tokens": [1211, 1211, 24401, 36145, 22653, 5296, 15042, 2423, 294, 12258, 281, 13202, 7251, 3794, 995, 45865, 12602, 995], "avg_logprob": -0.45805921366340235, "compression_ratio": 0.9166666666666666, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1240.8, "end": 1241.72, "word": "للحد", "probability": 0.7364908854166666}, {"start": 1241.72, "end": 1242.48, "word": " إنني", "probability": 0.3212890625}, {"start": 1242.48, "end": 1243.52, "word": " لما", "probability": 0.8671875}, {"start": 1243.52, "end": 1243.7, "word": " ال", "probability": 0.935546875}, {"start": 1243.7, "end": 1244.08, "word": " in", "probability": 0.19091796875}, {"start": 1244.08, "end": 1244.44, "word": " tends", "probability": 0.322021484375}, {"start": 1244.44, "end": 1244.66, "word": " to", "probability": 0.92236328125}, {"start": 1244.66, "end": 1245.38, "word": " infinity", "probability": 0.83935546875}, {"start": 1245.38, "end": 1246.42, "word": " يساوي", "probability": 0.970458984375}, {"start": 1246.42, "end": 1246.98, "word": " را", "probability": 0.55126953125}], "temperature": 1.0}, {"id": 56, "seek": 132170, "start": 1312.5, "end": 1321.7, "text": "السؤال الأول summation من n equal one to infinity", "tokens": [6027, 3794, 33604, 6027, 16247, 12610, 28811, 9154, 297, 2681, 472, 281, 13202], "avg_logprob": -0.5292968877724239, "compression_ratio": 0.9393939393939394, "no_speech_prob": 0.0, "words": [{"start": 1312.5, "end": 1313.74, "word": "السؤال", "probability": 0.746002197265625}, {"start": 1313.74, "end": 1314.3, "word": " الأول", "probability": 0.903564453125}, {"start": 1314.3, "end": 1317.12, "word": " summation", "probability": 0.08465576171875}, {"start": 1317.12, "end": 1318.6, "word": " من", "probability": 0.83544921875}, {"start": 1318.6, "end": 1319.02, "word": " n", "probability": 0.439453125}, {"start": 1319.02, "end": 1319.58, "word": " equal", "probability": 0.09832763671875}, {"start": 1319.58, "end": 1320.16, "word": " one", "probability": 0.81982421875}, {"start": 1320.16, "end": 1320.78, "word": " to", "probability": 0.9306640625}, {"start": 1320.78, "end": 1321.7, "word": " infinity", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 57, "seek": 132832, "start": 1322.36, "end": 1328.32, "text": "للإن فاكتوريال على عشرة to the power N", "tokens": [1211, 1211, 28814, 1863, 6156, 995, 4117, 2655, 13063, 1829, 6027, 15844, 6225, 8592, 25720, 281, 264, 1347, 426], "avg_logprob": -0.467578125, "compression_ratio": 0.8787878787878788, "no_speech_prob": 0.0, "words": [{"start": 1322.36, "end": 1323.4, "word": "للإن", "probability": 0.53973388671875}, {"start": 1323.4, "end": 1324.64, "word": " فاكتوريال", "probability": 0.8037109375}, {"start": 1324.64, "end": 1325.7, "word": " على", "probability": 0.6083984375}, {"start": 1325.7, "end": 1326.82, "word": " عشرة", "probability": 0.9521484375}, {"start": 1326.82, "end": 1327.08, "word": " to", "probability": 0.1656494140625}, {"start": 1327.08, "end": 1327.22, "word": " the", "probability": 0.8984375}, {"start": 1327.22, "end": 1327.76, "word": " power", "probability": 0.9111328125}, {"start": 1327.76, "end": 1328.32, "word": " N", "probability": 0.206787109375}], "temperature": 1.0}, {"id": 58, "seek": 138737, "start": 1370.79, "end": 1387.37, "text": "طيب احنا حتى الان اخدنا اربعة اختبارات اللي هي اختبار التكامل واختبار الحد النوني واختبار ال comparison test واختبار ال limit comparison test", "tokens": [9566, 1829, 3555, 1975, 5016, 8315, 11331, 49975, 2423, 7649, 1975, 9778, 3215, 8315, 1975, 25513, 27884, 1975, 46456, 3555, 9640, 9307, 13672, 1829, 39896, 1975, 46456, 3555, 9640, 16712, 4117, 10943, 1211, 4032, 47283, 2655, 3555, 9640, 21542, 3215, 28239, 11536, 1829, 4032, 47283, 2655, 3555, 9640, 2423, 9660, 1500, 4032, 47283, 2655, 3555, 9640, 2423, 4948, 9660, 1500], "avg_logprob": -0.15061475702973662, "compression_ratio": 1.816, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1370.79, "end": 1371.51, "word": "طيب", "probability": 0.6593017578125}, {"start": 1371.51, "end": 1372.13, "word": " احنا", "probability": 0.9583333333333334}, {"start": 1372.13, "end": 1372.51, "word": " حتى", "probability": 0.934326171875}, {"start": 1372.51, "end": 1372.95, "word": " الان", "probability": 0.690185546875}, {"start": 1372.95, "end": 1374.27, "word": " اخدنا", "probability": 0.885986328125}, {"start": 1374.27, "end": 1375.01, "word": " اربعة", "probability": 0.8743489583333334}, {"start": 1375.01, "end": 1376.17, "word": " اختبارات", "probability": 0.98876953125}, {"start": 1376.17, "end": 1376.89, "word": " اللي", "probability": 0.54736328125}, {"start": 1376.89, "end": 1377.23, "word": " هي", "probability": 0.9013671875}, {"start": 1377.23, "end": 1377.89, "word": " اختبار", "probability": 0.9930419921875}, {"start": 1377.89, "end": 1378.73, "word": " التكامل", "probability": 0.9842529296875}, {"start": 1378.73, "end": 1381.51, "word": " واختبار", "probability": 0.871875}, {"start": 1381.51, "end": 1382.17, "word": " الحد", "probability": 0.981201171875}, {"start": 1382.17, "end": 1382.79, "word": " النوني", "probability": 0.8401692708333334}, {"start": 1382.79, "end": 1383.79, "word": " واختبار", "probability": 0.97080078125}, {"start": 1383.79, "end": 1383.91, "word": " ال", "probability": 0.89501953125}, {"start": 1383.91, "end": 1384.43, "word": " comparison", "probability": 0.6630859375}, {"start": 1384.43, "end": 1384.95, "word": " test", "probability": 0.92041015625}, {"start": 1384.95, "end": 1385.53, "word": " واختبار", "probability": 0.9845703125}, {"start": 1385.53, "end": 1385.67, "word": " ال", "probability": 0.5361328125}, {"start": 1385.67, "end": 1385.95, "word": " limit", "probability": 0.9560546875}, {"start": 1385.95, "end": 1386.81, "word": " comparison", "probability": 0.8916015625}, {"start": 1386.81, "end": 1387.37, "word": " test", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 59, "seek": 140672, "start": 1387.66, "end": 1406.72, "text": "وباقى اختباران اختباران هو موضوع ال section اللى تبقى عشرة خمسة الاختبار الاول اسمه the ratio test اختبار النسبة والتانى اسمه ال in through test اختبار الجذر النونى", "tokens": [37746, 995, 4587, 7578, 1975, 46456, 3555, 9640, 7649, 1975, 46456, 3555, 9640, 7649, 31439, 3714, 2407, 11242, 45367, 2423, 3541, 13672, 7578, 6055, 3555, 4587, 7578, 6225, 8592, 25720, 16490, 2304, 3794, 3660, 42963, 46456, 3555, 9640, 42963, 12610, 24525, 2304, 3224, 264, 8509, 1500, 1975, 46456, 3555, 9640, 28239, 35457, 3660, 16070, 2655, 7649, 7578, 24525, 2304, 3224, 2423, 294, 807, 1500, 1975, 46456, 3555, 9640, 25724, 8848, 2288, 28239, 11536, 7578], "avg_logprob": -0.2037499980131785, "compression_ratio": 1.7933333333333332, "no_speech_prob": 0.0, "words": [{"start": 1387.66, "end": 1388.66, "word": "وباقى", "probability": 0.62701416015625}, {"start": 1388.66, "end": 1390.42, "word": " اختباران", "probability": 0.92431640625}, {"start": 1390.42, "end": 1391.76, "word": " اختباران", "probability": 0.744482421875}, {"start": 1391.76, "end": 1392.26, "word": " هو", "probability": 0.6943359375}, {"start": 1392.26, "end": 1392.64, "word": " موضوع", "probability": 0.9415283203125}, {"start": 1392.64, "end": 1392.8, "word": " ال", "probability": 0.6748046875}, {"start": 1392.8, "end": 1393.26, "word": " section", "probability": 0.85986328125}, {"start": 1393.26, "end": 1393.56, "word": " اللى", "probability": 0.61669921875}, {"start": 1393.56, "end": 1394.0, "word": " تبقى", "probability": 0.730865478515625}, {"start": 1394.0, "end": 1394.54, "word": " عشرة", "probability": 0.86474609375}, {"start": 1394.54, "end": 1395.26, "word": " خمسة", "probability": 0.857421875}, {"start": 1395.26, "end": 1396.36, "word": " الاختبار", "probability": 0.8939208984375}, {"start": 1396.36, "end": 1396.92, "word": " الاول", "probability": 0.9052734375}, {"start": 1396.92, "end": 1397.48, "word": " اسمه", "probability": 0.9690755208333334}, {"start": 1397.48, "end": 1397.68, "word": " the", "probability": 0.73193359375}, {"start": 1397.68, "end": 1398.2, "word": " ratio", "probability": 0.9443359375}, {"start": 1398.2, "end": 1399.1, "word": " test", "probability": 0.9453125}, {"start": 1399.1, "end": 1399.86, "word": " اختبار", "probability": 0.971923828125}, {"start": 1399.86, "end": 1400.7, "word": " النسبة", "probability": 0.9783528645833334}, {"start": 1400.7, "end": 1401.8, "word": " والتانى", "probability": 0.87158203125}, {"start": 1401.8, "end": 1402.34, "word": " اسمه", "probability": 0.9759114583333334}, {"start": 1402.34, "end": 1402.52, "word": " ال", "probability": 0.79541015625}, {"start": 1402.52, "end": 1402.82, "word": " in", "probability": 0.61376953125}, {"start": 1402.82, "end": 1403.32, "word": " through", "probability": 0.8505859375}, {"start": 1403.32, "end": 1404.0, "word": " test", "probability": 0.94091796875}, {"start": 1404.0, "end": 1404.9, "word": " اختبار", "probability": 0.9884033203125}, {"start": 1404.9, "end": 1405.86, "word": " الجذر", "probability": 0.6456705729166666}, {"start": 1405.86, "end": 1406.72, "word": " النونى", "probability": 0.8404947916666666}], "temperature": 1.0}, {"id": 60, "seek": 143601, "start": 1408.71, "end": 1436.01, "text": "لما نخلص الاتنين هدول بيكون خلصنا كل اختبارات الستة زيدي التلاتة series المشهورة وبالتالي يمكن الحكم على أي series بتقابلنا هل هي converge او diver لو نظرت للاختبارين اللي هو الأول والثاني اللي هي ال ratio test و ال intro test بلاحظ انه كمان هدول ل series with positive terms وبالتالي", "tokens": [1211, 15042, 8717, 9778, 1211, 9381, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 4724, 1829, 30544, 16490, 1211, 9381, 8315, 28242, 1975, 46456, 3555, 9640, 9307, 21136, 2655, 3660, 30767, 1829, 16254, 16712, 1211, 9307, 3660, 2638, 9673, 8592, 3224, 13063, 3660, 46599, 6027, 2655, 6027, 1829, 7251, 43020, 21542, 24793, 15844, 36632, 2638, 39894, 4587, 16758, 1211, 8315, 8032, 1211, 39896, 41881, 1975, 2407, 18558, 45164, 8717, 19913, 43500, 24976, 47283, 2655, 3555, 9640, 9957, 13672, 1829, 31439, 16247, 12610, 16070, 12984, 7649, 1829, 13672, 1829, 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{"start": 1426.91, "end": 1427.27, "word": " اللي", "probability": 0.83544921875}, {"start": 1427.27, "end": 1427.49, "word": " هي", "probability": 0.365478515625}, {"start": 1427.49, "end": 1427.61, "word": " ال", "probability": 0.5224609375}, {"start": 1427.61, "end": 1427.97, "word": " ratio", "probability": 0.98828125}, {"start": 1427.97, "end": 1428.53, "word": " test", "probability": 0.88818359375}, {"start": 1428.53, "end": 1428.77, "word": " و", "probability": 0.71142578125}, {"start": 1428.77, "end": 1428.93, "word": " ال", "probability": 0.86474609375}, {"start": 1428.93, "end": 1429.45, "word": " intro", "probability": 0.3623046875}, {"start": 1429.45, "end": 1429.95, "word": " test", "probability": 0.9306640625}, {"start": 1429.95, "end": 1430.65, "word": " بلاحظ", "probability": 0.9688720703125}, {"start": 1430.65, "end": 1431.17, "word": " انه", "probability": 0.80224609375}, {"start": 1431.17, "end": 1431.61, "word": " كمان", "probability": 0.9505208333333334}, {"start": 1431.61, "end": 1432.11, "word": " هدول", "probability": 0.97705078125}, {"start": 1432.11, "end": 1432.67, "word": " ل", "probability": 0.489501953125}, {"start": 1432.67, "end": 1433.09, "word": " series", "probability": 0.94189453125}, {"start": 1433.09, "end": 1433.59, "word": " with", "probability": 0.93359375}, {"start": 1433.59, "end": 1434.43, "word": " positive", "probability": 0.9580078125}, {"start": 1434.43, "end": 1435.15, "word": " terms", "probability": 0.89453125}, {"start": 1435.15, "end": 1436.01, "word": " وبالتالي", "probability": 0.93466796875}], "temperature": 1.0}, {"id": 61, "seek": 145752, "start": 1436.4, "end": 1457.52, "text": "أخر خمسة اختبارات كلها series with positive terms ما عدا الاختبار الأول اللي هو nth term test بهمناش هل ال series بالموجب أو بالسالب نجي للاختبار الأول ال ratio test بقول let summation على a n b هي series with positive terms", "tokens": [10721, 34740, 16490, 2304, 3794, 3660, 1975, 46456, 3555, 9640, 9307, 28242, 11296, 2638, 365, 3353, 2115, 19446, 6225, 28259, 2423, 47283, 2655, 3555, 9640, 16247, 12610, 13672, 1829, 31439, 297, 392, 1433, 1500, 4724, 16095, 1863, 33599, 8032, 1211, 2423, 2638, 20666, 2304, 29245, 3555, 34051, 20666, 3794, 6027, 3555, 8717, 7435, 1829, 24976, 47283, 2655, 3555, 9640, 16247, 12610, 2423, 8509, 1500, 4724, 39648, 718, 28811, 15844, 257, 297, 272, 39896, 2638, 365, 3353, 2115], "avg_logprob": -0.3275240434285922, "compression_ratio": 1.7679558011049723, "no_speech_prob": 0.0, "words": [{"start": 1436.4, "end": 1436.98, "word": "أخر", "probability": 0.62353515625}, {"start": 1436.98, "end": 1437.6, "word": " خمسة", "probability": 0.9488525390625}, {"start": 1437.6, "end": 1438.42, "word": " اختبارات", "probability": 0.96220703125}, {"start": 1438.42, "end": 1438.86, "word": " كلها", "probability": 0.841796875}, {"start": 1438.86, "end": 1439.12, "word": " series", "probability": 0.365234375}, {"start": 1439.12, "end": 1439.44, "word": " with", "probability": 0.88427734375}, {"start": 1439.44, "end": 1440.02, "word": " positive", "probability": 0.9501953125}, {"start": 1440.02, "end": 1440.58, "word": " terms", "probability": 0.88232421875}, {"start": 1440.58, "end": 1440.8, "word": " ما", "probability": 0.43798828125}, {"start": 1440.8, "end": 1441.22, "word": " عدا", "probability": 0.75}, {"start": 1441.22, "end": 1442.28, "word": " الاختبار", "probability": 0.85107421875}, {"start": 1442.28, "end": 1442.68, "word": " الأول", "probability": 0.857666015625}, {"start": 1442.68, "end": 1442.84, "word": " اللي", "probability": 0.54815673828125}, {"start": 1442.84, "end": 1443.04, "word": " هو", "probability": 0.8525390625}, {"start": 1443.04, "end": 1443.5, "word": " nth", "probability": 0.4036865234375}, {"start": 1443.5, "end": 1443.84, "word": " term", "probability": 0.90283203125}, {"start": 1443.84, "end": 1444.14, "word": " test", "probability": 0.89990234375}, {"start": 1444.14, "end": 1444.88, "word": " بهمناش", "probability": 0.5089111328125}, {"start": 1444.88, "end": 1445.36, "word": " هل", "probability": 0.93896484375}, {"start": 1445.36, "end": 1445.5, "word": " ال", "probability": 0.7919921875}, {"start": 1445.5, "end": 1445.8, "word": " series", "probability": 0.8515625}, {"start": 1445.8, "end": 1446.58, "word": " بالموجب", "probability": 0.907958984375}, {"start": 1446.58, "end": 1447.18, "word": " أو", "probability": 0.63623046875}, {"start": 1447.18, "end": 1448.12, "word": " بالسالب", "probability": 0.70233154296875}, {"start": 1448.12, "end": 1449.42, "word": " نجي", "probability": 0.69189453125}, {"start": 1449.42, "end": 1450.08, "word": " للاختبار", "probability": 0.91533203125}, {"start": 1450.08, "end": 1450.54, "word": " الأول", "probability": 0.971923828125}, {"start": 1450.54, "end": 1450.72, "word": " ال", "probability": 0.394775390625}, {"start": 1450.72, "end": 1451.12, "word": " ratio", "probability": 0.97216796875}, {"start": 1451.12, "end": 1451.7, "word": " test", "probability": 0.9326171875}, {"start": 1451.7, "end": 1452.4, "word": " بقول", "probability": 0.649658203125}, {"start": 1452.4, "end": 1452.72, "word": " let", "probability": 0.427734375}, {"start": 1452.72, "end": 1453.38, "word": " summation", "probability": 0.5224609375}, {"start": 1453.38, "end": 1453.86, "word": " على", "probability": 0.8515625}, {"start": 1453.86, "end": 1454.12, "word": " a", "probability": 0.64013671875}, {"start": 1454.12, "end": 1454.36, "word": " n", "probability": 0.4677734375}, {"start": 1454.36, "end": 1454.6, "word": " b", "probability": 0.2978515625}, {"start": 1454.6, "end": 1454.84, "word": " هي", "probability": 0.489501953125}, {"start": 1454.84, "end": 1455.32, "word": " series", "probability": 0.76904296875}, {"start": 1455.32, "end": 1455.76, "word": " with", "probability": 0.939453125}, {"start": 1455.76, "end": 1456.58, "word": " positive", "probability": 0.9580078125}, {"start": 1456.58, "end": 1457.52, "word": " terms", "probability": 0.89404296875}], "temperature": 1.0}, {"id": 62, "seek": 147622, "start": 1457.76, "end": 1476.22, "text": "الحدود كلها مجمع and suppose that وافترض انه limit لل a n plus one على a n يعني الحد النوني زائد واحد مقصوم على مين على الحد النوني يعني الحد العاشر مقصوم على الحد التاسع مثلا", "tokens": [6027, 5016, 3215, 23328, 28242, 11296, 3714, 7435, 2304, 3615, 293, 7297, 300, 4032, 31845, 2655, 43042, 16472, 3224, 4948, 24976, 257, 297, 1804, 472, 15844, 257, 297, 37495, 22653, 21542, 3215, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 3714, 4587, 9381, 20498, 15844, 3714, 9957, 15844, 21542, 3215, 28239, 11536, 1829, 37495, 22653, 21542, 3215, 18863, 33599, 2288, 3714, 4587, 9381, 20498, 15844, 21542, 3215, 16712, 32277, 3615, 50113, 15040], "avg_logprob": -0.2910958969429748, "compression_ratio": 1.7701863354037266, "no_speech_prob": 0.0, "words": [{"start": 1457.76, "end": 1458.66, "word": "الحدود", "probability": 0.63580322265625}, {"start": 1458.66, "end": 1459.52, "word": " كلها", "probability": 0.931884765625}, {"start": 1459.52, "end": 1460.08, "word": " مجمع", "probability": 0.59197998046875}, {"start": 1460.08, "end": 1460.72, "word": " and", "probability": 0.1326904296875}, {"start": 1460.72, "end": 1461.32, "word": " suppose", "probability": 0.865234375}, {"start": 1461.32, "end": 1461.78, "word": " that", "probability": 0.87353515625}, {"start": 1461.78, "end": 1462.86, "word": " وافترض", "probability": 0.77294921875}, {"start": 1462.86, "end": 1463.44, "word": " انه", "probability": 0.525390625}, {"start": 1463.44, "end": 1463.94, "word": " limit", "probability": 0.9482421875}, {"start": 1463.94, "end": 1464.26, "word": " لل", "probability": 0.6220703125}, {"start": 1464.26, "end": 1464.54, "word": " a", "probability": 0.32763671875}, {"start": 1464.54, "end": 1464.82, "word": " n", "probability": 0.66552734375}, {"start": 1464.82, "end": 1465.26, "word": " plus", "probability": 0.9111328125}, {"start": 1465.26, "end": 1465.62, "word": " one", "probability": 0.89794921875}, {"start": 1465.62, "end": 1465.96, "word": " على", "probability": 0.72607421875}, {"start": 1465.96, "end": 1466.36, "word": " a", "probability": 0.93408203125}, {"start": 1466.36, "end": 1466.6, "word": " n", "probability": 0.85009765625}, {"start": 1466.6, "end": 1468.12, "word": " يعني", "probability": 0.79052734375}, {"start": 1468.12, "end": 1468.8, "word": " الحد", "probability": 0.824462890625}, {"start": 1468.8, "end": 1469.48, "word": " النوني", "probability": 0.78857421875}, {"start": 1469.48, "end": 1470.0, "word": " زائد", "probability": 0.8055013020833334}, {"start": 1470.0, "end": 1470.36, "word": " واحد", "probability": 0.986328125}, {"start": 1470.36, "end": 1470.84, "word": " مقصوم", "probability": 0.69287109375}, {"start": 1470.84, "end": 1471.12, "word": " على", "probability": 0.472900390625}, {"start": 1471.12, "end": 1471.58, "word": " مين", "probability": 0.6580810546875}, {"start": 1471.58, "end": 1472.14, "word": " على", "probability": 0.75244140625}, {"start": 1472.14, "end": 1472.58, "word": " الحد", "probability": 0.964599609375}, {"start": 1472.58, "end": 1472.92, "word": " النوني", "probability": 0.9002278645833334}, {"start": 1472.92, "end": 1473.16, "word": " يعني", "probability": 0.889404296875}, {"start": 1473.16, "end": 1473.56, "word": " الحد", "probability": 0.914306640625}, {"start": 1473.56, "end": 1474.06, "word": " العاشر", "probability": 0.826171875}, {"start": 1474.06, "end": 1474.48, "word": " مقصوم", "probability": 0.9549560546875}, {"start": 1474.48, "end": 1474.72, "word": " على", "probability": 0.81787109375}, {"start": 1474.72, "end": 1475.12, "word": " الحد", "probability": 0.894775390625}, {"start": 1475.12, "end": 1475.7, "word": " التاسع", "probability": 0.9943033854166666}, {"start": 1475.7, "end": 1476.22, "word": " مثلا", "probability": 0.969482421875}], "temperature": 1.0}, {"id": 63, "seek": 149131, "start": 1476.59, "end": 1491.31, "text": "الحد التلاتين مقسما على الحد تسعة وعشرين إلى آخرين يبقى جسمنا الحد النوني زائد واحد على الحد النوني واخدنا ال limit لما ال entrance to infinity سميت النتج raw", "tokens": [6027, 24401, 16712, 1211, 9307, 9957, 3714, 4587, 38251, 995, 15844, 21542, 3215, 6055, 3794, 27884, 4032, 3615, 46309, 9957, 30731, 19753, 34740, 9957, 7251, 3555, 4587, 7578, 10874, 38251, 8315, 21542, 3215, 28239, 11536, 1829, 30767, 16373, 3215, 36764, 24401, 15844, 21542, 3215, 28239, 11536, 1829, 4032, 47283, 3215, 8315, 2423, 4948, 5296, 15042, 2423, 12014, 281, 13202, 8608, 2304, 36081, 2423, 29399, 7435, 8936], "avg_logprob": -0.24323693585039965, "compression_ratio": 1.617283950617284, "no_speech_prob": 0.0, "words": [{"start": 1476.59, "end": 1477.11, "word": "الحد", "probability": 0.4996337890625}, {"start": 1477.11, "end": 1477.87, "word": " التلاتين", "probability": 0.8162841796875}, {"start": 1477.87, "end": 1478.41, "word": " مقسما", "probability": 0.67730712890625}, {"start": 1478.41, "end": 1478.57, "word": " على", "probability": 0.8037109375}, {"start": 1478.57, "end": 1478.99, "word": " الحد", "probability": 0.87451171875}, {"start": 1478.99, "end": 1479.41, "word": " تسعة", "probability": 0.85595703125}, {"start": 1479.41, "end": 1480.13, "word": " وعشرين", "probability": 0.8720703125}, {"start": 1480.13, "end": 1480.73, "word": " إلى", "probability": 0.408203125}, {"start": 1480.73, "end": 1481.49, "word": " آخرين", "probability": 0.7591145833333334}, {"start": 1481.49, "end": 1482.15, "word": " يبقى", "probability": 0.8671875}, {"start": 1482.15, "end": 1482.75, "word": " جسمنا", "probability": 0.8810221354166666}, {"start": 1482.75, "end": 1483.19, "word": " الحد", "probability": 0.925537109375}, {"start": 1483.19, "end": 1483.65, "word": " النوني", "probability": 0.7810872395833334}, {"start": 1483.65, "end": 1484.09, "word": " زائد", "probability": 0.8893229166666666}, {"start": 1484.09, "end": 1484.45, "word": " واحد", "probability": 0.973388671875}, {"start": 1484.45, "end": 1484.63, "word": " على", "probability": 0.86572265625}, {"start": 1484.63, "end": 1485.11, "word": " الحد", "probability": 0.98388671875}, {"start": 1485.11, "end": 1485.75, "word": " النوني", "probability": 0.9152018229166666}, {"start": 1485.75, "end": 1486.55, "word": " واخدنا", "probability": 0.9429931640625}, {"start": 1486.55, "end": 1486.69, "word": " ال", "probability": 0.74609375}, {"start": 1486.69, "end": 1486.99, "word": " limit", "probability": 0.93505859375}, {"start": 1486.99, "end": 1487.35, "word": " لما", "probability": 0.90087890625}, {"start": 1487.35, "end": 1487.51, "word": " ال", "probability": 0.947265625}, {"start": 1487.51, "end": 1488.09, "word": " entrance", "probability": 0.1046142578125}, {"start": 1488.09, "end": 1488.37, "word": " to", "probability": 0.8935546875}, {"start": 1488.37, "end": 1489.03, "word": " infinity", "probability": 0.853515625}, {"start": 1489.03, "end": 1490.07, "word": " سميت", "probability": 0.88232421875}, {"start": 1490.07, "end": 1490.97, "word": " النتج", "probability": 0.7203776041666666}, {"start": 1490.97, "end": 1491.31, "word": " raw", "probability": 0.6083984375}], "temperature": 1.0}, {"id": 64, "seek": 152178, "start": 1492.22, "end": 1521.78, "text": "يبقى بالضبط روها دي قد تكون عدد و قد تكون infinity ان كان عدد بنجي نطلع في هذا العدد إذا العدد هذا كان أقل من واحد صحية طبعا من صفر لغاية واحد صحية طبعا صفر لئم السالب مافيش ليش ان ال series with positive terms الحد النوني زاد واحد موجب و الحد النوني موجب يبقى فيش عندي سالب", "tokens": [1829, 3555, 4587, 7578, 20666, 11242, 3555, 9566, 12602, 2407, 11296, 11778, 1829, 12174, 3215, 6055, 30544, 6225, 3215, 3215, 4032, 12174, 3215, 6055, 30544, 13202, 16472, 25961, 6225, 3215, 3215, 44945, 7435, 1829, 8717, 9566, 1211, 3615, 8978, 23758, 18863, 3215, 3215, 11933, 15730, 18863, 3215, 3215, 23758, 25961, 5551, 4587, 1211, 9154, 36764, 24401, 20328, 5016, 10632, 23032, 3555, 3615, 995, 9154, 20328, 5172, 2288, 5296, 17082, 995, 10632, 36764, 24401, 20328, 5016, 10632, 23032, 3555, 3615, 995, 20328, 5172, 2288, 5296, 19986, 2304, 21136, 6027, 3555, 19446, 41185, 8592, 32239, 8592, 16472, 2423, 2638, 365, 3353, 2115, 21542, 3215, 28239, 11536, 1829, 30767, 18513, 36764, 24401, 3714, 29245, 3555, 4032, 21542, 3215, 28239, 11536, 1829, 3714, 29245, 3555, 7251, 3555, 4587, 7578, 8978, 8592, 18871, 16254, 8608, 6027, 3555], "avg_logprob": -0.20124530478527672, "compression_ratio": 1.9409282700421941, "no_speech_prob": 0.0, "words": [{"start": 1492.22, "end": 1492.74, "word": "يبقى", "probability": 0.724853515625}, {"start": 1492.74, "end": 1493.14, "word": " بالضبط", "probability": 0.63427734375}, {"start": 1493.14, "end": 1493.88, "word": " روها", "probability": 0.4754638671875}, {"start": 1493.88, "end": 1494.26, "word": " دي", "probability": 0.702392578125}, {"start": 1494.26, "end": 1494.8, "word": " قد", "probability": 0.9560546875}, {"start": 1494.8, "end": 1495.22, "word": " تكون", "probability": 0.981201171875}, {"start": 1495.22, "end": 1495.62, "word": 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standard من الجدول رقم ستة في الجدول مظبوط بس مش مجلوبة تمام؟ مدام مجلوبة هذيك السفر إذا هذي قداش اما لنهاية بال N تقريبا بس ال series is diverse", "tokens": [2407, 47283, 3215, 2655, 2423, 4948, 5296, 24401, 16472, 22653, 5296, 15042, 2423, 426, 12258, 281, 13202, 8032, 8848, 1829, 3832, 9154, 25724, 3215, 12610, 12602, 4587, 2304, 8608, 2655, 3660, 8978, 25724, 3215, 12610, 3714, 19913, 3555, 2407, 9566, 4724, 3794, 37893, 3714, 7435, 1211, 37746, 3660, 46811, 10943, 22807, 3714, 3215, 10943, 3714, 7435, 1211, 37746, 3660, 8032, 8848, 1829, 4117, 21136, 5172, 2288, 11933, 15730, 8032, 8848, 1829, 12174, 3215, 33599, 1975, 15042, 5296, 1863, 11296, 10632, 20666, 426, 6055, 4587, 16572, 3555, 995, 4724, 3794, 2423, 2638, 307, 9521], "avg_logprob": -0.41555849763941255, "compression_ratio": 1.5441176470588236, "no_speech_prob": 0.0, "words": [{"start": 1787.57, "end": 1788.29, "word": "واخدت", "probability": 0.7503662109375}, {"start": 1788.29, "end": 1788.37, "word": " ال", 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"text": "by the nth term دي البارك nth term وليس nth root the nth term test the series summation لواحد ناقص واحد على تلاتة in كله to the power in by", "tokens": [2322, 264, 297, 392, 1433, 11778, 1829, 29739, 9640, 4117, 297, 392, 1433, 4032, 20292, 3794, 297, 392, 5593, 264, 297, 392, 1433, 1500, 264, 2638, 28811, 5296, 14407, 24401, 8717, 995, 4587, 9381, 36764, 24401, 15844, 6055, 1211, 9307, 3660, 294, 28242, 3224, 281, 264, 1347, 294, 538], "avg_logprob": -0.30984374463558195, "compression_ratio": 1.3461538461538463, "no_speech_prob": 0.0, "words": [{"start": 2566.65, "end": 2567.45, "word": "by", "probability": 0.0665283203125}, {"start": 2567.45, "end": 2568.31, "word": " the", "probability": 0.900390625}, {"start": 2568.31, "end": 2569.55, "word": " nth", "probability": 0.67578125}, {"start": 2569.55, "end": 2571.65, "word": " term", "probability": 0.96875}, {"start": 2571.65, "end": 2573.57, "word": " دي", "probability": 0.55108642578125}, {"start": 2573.57, "end": 2574.11, 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