diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/_mc9oZHzNxs_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/_mc9oZHzNxs_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/_mc9oZHzNxs_raw.json"
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+{"segments": [{"id": 1, "seek": 4489, "start": 20.67, "end": 44.89, "text": "بسم الله الرحمن الرحيم و السلام عليكم هنكمل ان شاء الله اليوم ال .. المثال رقم اتنين اللي بدناه في المحاضرة السابقة و ماكملناهوش فنرجعوا مع بعض بسرعة و نحاول نكمل البرهان", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 21136, 37440, 25894, 24793, 8032, 1863, 24793, 1211, 16472, 13412, 16606, 21984, 45595, 20498, 2423, 4386, 9673, 12984, 6027, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 13672, 1829, 47525, 8315, 3224, 8978, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 4032, 19446, 24793, 1211, 8315, 3224, 2407, 8592, 6156, 1863, 47341, 3615, 14407, 20449, 45030, 11242, 4724, 3794, 2288, 27884, 4032, 8717, 5016, 995, 12610, 8717, 24793, 1211, 2423, 26890, 3224, 7649], "avg_logprob": -0.08808117141810859, "compression_ratio": 1.8606060606060606, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 20.67, "end": 21.03, "word": "بسم", "probability": 0.847900390625}, 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"no_speech_prob": 0.0, "words": [{"start": 608.04, "end": 608.34, "word": "إن", "probability": 0.657470703125}, {"start": 608.34, "end": 608.78, "word": " X", "probability": 0.431884765625}, {"start": 608.78, "end": 609.14, "word": " in", "probability": 0.11676025390625}, {"start": 609.14, "end": 609.94, "word": " convergence", "probability": 0.3984375}, {"start": 609.94, "end": 613.9, "word": " it", "probability": 0.5556640625}, {"start": 613.9, "end": 614.84, "word": " suffices", "probability": 0.9169921875}, {"start": 614.84, "end": 618.1, "word": " يعني", "probability": 0.797119140625}, {"start": 618.1, "end": 618.66, "word": " يكفي", "probability": 0.9576822916666666}, {"start": 618.66, "end": 619.38, "word": " إثبات", "probability": 0.90625}, {"start": 619.38, "end": 621.04, "word": " to", "probability": 0.5986328125}, {"start": 621.04, "end": 621.52, "word": " show", "probability": 0.96533203125}, {"start": 621.52, "end": 623.42, "word": " it", "probability": 0.9384765625}, {"start": 623.42, "end": 624.16, "word": " is", "probability": 0.94189453125}, {"start": 624.16, "end": 627.04, "word": " Cauchy", "probability": 0.8011067708333334}, {"start": 627.04, "end": 628.04, "word": " إذا", "probability": 0.722412109375}, {"start": 628.04, "end": 628.54, "word": " يكفي", "probability": 0.8006184895833334}, {"start": 628.54, "end": 629.1, "word": " إثبات", "probability": 0.9893798828125}, {"start": 629.1, "end": 630.3, "word": " إنها", "probability": 0.902099609375}, {"start": 630.3, "end": 630.9, "word": " Cauchy", "probability": 0.9127604166666666}], "temperature": 1.0}, {"id": 22, "seek": 65479, "start": 633.27, "end": 654.79, "text": "طيب هاي عندي .. الآن هستفيد من المتباين هذه الأخيرة لإثبات إنها كوشي طيب أنا عندي .. أنا عندي four .. قولنا M أكبر من N", "tokens": [9566, 1829, 3555, 8032, 47302, 18871, 16254, 4386, 6024, 48506, 8032, 14851, 5172, 25708, 9154, 9673, 2655, 3555, 995, 9957, 29538, 16247, 9778, 48923, 5296, 28814, 12984, 3555, 9307, 36145, 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652.59, "word": " قولنا", "probability": 0.7472330729166666}, {"start": 652.59, "end": 653.01, "word": " M", "probability": 0.533203125}, {"start": 653.01, "end": 654.17, "word": " أكبر", "probability": 0.9611002604166666}, {"start": 654.17, "end": 654.43, "word": " من", "probability": 0.99365234375}, {"start": 654.43, "end": 654.79, "word": " N", "probability": 0.9208984375}], "temperature": 1.0}, {"id": 23, "seek": 68547, "start": 657.61, "end": 685.47, "text": "أثبتنا أن أبسليوت xn نيجاتيف xm less than one over two to n minus two نسمي الانيقواليتي هذه star الان let epsilon أكبر من السفر be given", "tokens": [10721, 12984, 3555, 2655, 8315, 14739, 5551, 3555, 3794, 1211, 1829, 35473, 2031, 77, 8717, 1829, 7435, 9307, 33911, 2031, 76, 1570, 813, 472, 670, 732, 281, 297, 3175, 732, 8717, 38251, 1829, 2423, 7649, 1829, 4587, 2407, 6027, 1829, 31371, 29538, 3543, 2423, 7649, 718, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 312, 2212], "avg_logprob": -0.44106360485679225, 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to", "probability": 0.81787109375}, {"start": 665.33, "end": 665.65, "word": " n", "probability": 0.94091796875}, {"start": 665.65, "end": 666.19, "word": " minus", "probability": 0.95947265625}, {"start": 666.19, "end": 666.57, "word": " two", "probability": 0.95703125}, {"start": 666.57, "end": 668.13, "word": " نسمي", "probability": 0.7096354166666666}, {"start": 668.13, "end": 670.37, "word": " الانيقواليتي", "probability": 0.614715576171875}, {"start": 670.37, "end": 670.89, "word": " هذه", "probability": 0.4521484375}, {"start": 670.89, "end": 671.53, "word": " star", "probability": 0.642578125}, {"start": 671.53, "end": 676.97, "word": " الان", "probability": 0.56549072265625}, {"start": 676.97, "end": 681.01, "word": " let", "probability": 0.7099609375}, {"start": 681.01, "end": 681.71, "word": " epsilon", "probability": 0.572265625}, {"start": 681.71, "end": 684.01, "word": " أكبر", "probability": 0.947265625}, {"start": 684.01, "end": 684.21, "word": " من", "probability": 0.99609375}, {"start": 684.21, "end": 684.83, "word": " السفر", "probability": 0.7685546875}, {"start": 684.83, "end": 685.03, "word": " be", "probability": 0.86181640625}, {"start": 685.03, "end": 685.47, "word": " given", "probability": 0.8720703125}], "temperature": 1.0}, {"id": 24, "seek": 71646, "start": 687.6, "end": 716.46, "text": "أنا بدأ أثبت إن الـ sequence تبعتي كوشي فعشان أثبت إنها كوشي ببدأ بإمسون أكبر من سفر برد عليها بcapital N بحيث إنه لكل M و N أكبر من أو يساوي capital N لازم المسافة بين XN وXM أصغر من إبسون ف let إبسون أكبر من سفر be given by Archimedean property", "tokens": [10721, 8315, 47525, 10721, 5551, 12984, 3555, 2655, 36145, 2423, 39184, 8310, 6055, 3555, 3615, 31371, 9122, 2407, 8592, 1829, 6156, 3615, 8592, 7649, 5551, 12984, 3555, 2655, 36145, 11296, 9122, 2407, 8592, 1829, 4724, 44510, 10721, 4724, 28814, 2304, 3794, 11536, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 4724, 2288, 3215, 25894, 11296, 4724, 9485, 1686, 426, 4724, 5016, 1829, 12984, 36145, 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701.94, "end": 702.4, "word": " capital", "probability": 0.39697265625}, {"start": 702.4, "end": 702.76, "word": " N", "probability": 0.82958984375}, {"start": 702.76, "end": 703.76, "word": " لازم", "probability": 0.9900716145833334}, {"start": 703.76, "end": 704.28, "word": " المسافة", "probability": 0.931884765625}, {"start": 704.28, "end": 704.52, "word": " بين", "probability": 0.96630859375}, {"start": 704.52, "end": 705.18, "word": " XN", "probability": 0.5411376953125}, {"start": 705.18, "end": 706.04, "word": " وXM", "probability": 0.8515625}, {"start": 706.04, "end": 706.66, "word": " أصغر", "probability": 0.9920654296875}, {"start": 706.66, "end": 706.96, "word": " من", "probability": 0.99267578125}, {"start": 706.96, "end": 707.46, "word": " إبسون", "probability": 0.8150634765625}, {"start": 707.46, "end": 708.22, "word": " ف", "probability": 0.87353515625}, {"start": 708.22, "end": 708.54, "word": " let", "probability": 0.374755859375}, {"start": 708.54, "end": 709.02, "word": " إبسون", "probability": 0.78228759765625}, {"start": 709.02, "end": 709.4, "word": " أكبر", "probability": 0.9816080729166666}, {"start": 709.4, "end": 709.6, "word": " من", "probability": 0.99560546875}, {"start": 709.6, "end": 710.0, "word": " سفر", "probability": 0.9488932291666666}, {"start": 710.0, "end": 710.2, "word": " be", "probability": 0.8349609375}, {"start": 710.2, "end": 710.62, "word": " given", "probability": 0.884765625}, {"start": 710.62, "end": 712.94, "word": " by", "probability": 0.9404296875}, {"start": 712.94, "end": 715.52, "word": " Archimedean", "probability": 0.84490966796875}, {"start": 715.52, "end": 716.46, "word": " property", "probability": 0.83447265625}], "temperature": 1.0}, {"id": 25, "seek": 73744, "start": 718.16, "end": 737.44, "text": "من خاصية Archimedes choose ممكن نختار capital N عدد طبيعي بحيث أنه واحد على N أصغر من epsilon على أربعة", "tokens": [27842, 16490, 33546, 10632, 10984, 332, 48490, 2826, 3714, 43020, 8717, 46456, 9640, 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"word": " اربعة", "probability": 0.9637044270833334}, {"start": 1230.22, "end": 1232.14, "word": " بطلع", "probability": 0.80126953125}, {"start": 1232.14, "end": 1232.86, "word": " اتنين", "probability": 0.9588623046875}, {"start": 1232.86, "end": 1233.12, "word": " على", "probability": 0.8056640625}, {"start": 1233.12, "end": 1234.12, "word": " تلاتة", "probability": 0.9266357421875}, {"start": 1234.12, "end": 1235.1, "word": " و", "probability": 0.3681640625}, {"start": 1235.1, "end": 1235.26, "word": " ال", "probability": 0.705078125}, {"start": 1235.26, "end": 1235.56, "word": " bust", "probability": 0.378662109375}, {"start": 1235.56, "end": 1235.82, "word": " هذا", "probability": 0.783203125}, {"start": 1235.82, "end": 1236.16, "word": " هو", "probability": 0.99169921875}, {"start": 1236.16, "end": 1236.44, "word": " في", "probability": 0.68603515625}, {"start": 1236.44, "end": 1236.64, "word": " ال", "probability": 0.849609375}, {"start": 1236.64, "end": 1236.98, "word": " 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"word": " limit", "probability": 0.97607421875}, {"start": 1272.38, "end": 1273.5, "word": " x", "probability": 0.73583984375}, {"start": 1273.5, "end": 1274.38, "word": " to", "probability": 0.73828125}, {"start": 1274.38, "end": 1274.78, "word": " n", "probability": 0.72900390625}, {"start": 1274.78, "end": 1275.3, "word": " plus", "probability": 0.6845703125}, {"start": 1275.3, "end": 1275.76, "word": " one", "probability": 0.85107421875}, {"start": 1275.76, "end": 1276.24, "word": " as", "probability": 0.91845703125}, {"start": 1276.24, "end": 1276.7, "word": " n", "probability": 0.88916015625}, {"start": 1276.7, "end": 1277.56, "word": " tends", "probability": 0.81494140625}, {"start": 1277.56, "end": 1277.7, "word": " to", "probability": 0.962890625}, {"start": 1277.7, "end": 1278.16, "word": " infinity", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 45, "seek": 130844, "start": 1279.12, "end": 1308.44, "text": "بساوي واحد زاد اتنين على التلاتة في ال limit الجوس واحد سالب limit واحد على اربعة أس in as in tends to infinity وهذا بساوي واحد زاد اتنين على تلاتة في واحد سالب limit واحد على اربعة in بساوي سفر فبطلع بساوي واحد", "tokens": [3555, 3794, 995, 45865, 36764, 24401, 30767, 18513, 1975, 2655, 1863, 9957, 15844, 16712, 1211, 9307, 3660, 8978, 2423, 4948, 25724, 41779, 36764, 24401, 8608, 6027, 3555, 4948, 36764, 24401, 15844, 1975, 25513, 27884, 5551, 3794, 294, 382, 294, 12258, 281, 13202, 37037, 15730, 4724, 3794, 995, 45865, 36764, 24401, 30767, 18513, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 8978, 36764, 24401, 8608, 6027, 3555, 4948, 36764, 24401, 15844, 1975, 25513, 27884, 294, 4724, 3794, 995, 45865, 8608, 5172, 2288, 6156, 3555, 9566, 1211, 3615, 4724, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.18068484502269866, "compression_ratio": 2.178343949044586, "no_speech_prob": 0.0, "words": [{"start": 1279.12, "end": 1279.82, "word": "بساوي", "probability": 0.66143798828125}, {"start": 1279.82, "end": 1280.36, "word": " 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0.80126953125}, {"start": 1303.52, "end": 1304.78, "word": " بساوي", "probability": 0.9761962890625}, {"start": 1304.78, "end": 1305.36, "word": " سفر", "probability": 0.9083658854166666}, {"start": 1305.36, "end": 1307.06, "word": " فبطلع", "probability": 0.8875}, {"start": 1307.06, "end": 1307.78, "word": " بساوي", "probability": 0.9730224609375}, {"start": 1307.78, "end": 1308.44, "word": " واحد", "probability": 0.98828125}], "temperature": 1.0}, {"id": 46, "seek": 133393, "start": 1310.17, "end": 1333.93, "text": "زاد اتنين على تلاتة بساوي خمسة على تلاتة طيب هذه عبارة عن sub sequence من ال sequence xn هذه الحدود الفردية ل sequence xn طيب و انا عندي ال sequence تبعتي convergence هاي أثبتنا ان xn convergent و ال limit تبعتها بساوي العدد x", "tokens": [11622, 18513, 1975, 2655, 1863, 9957, 15844, 6055, 1211, 9307, 3660, 4724, 3794, 995, 45865, 16490, 2304, 3794, 3660, 15844, 6055, 1211, 9307, 3660, 23032, 1829, 3555, 29538, 6225, 3555, 9640, 3660, 18871, 1422, 8310, 9154, 2423, 8310, 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هذه", "probability": 0.69775390625}, {"start": 1321.07, "end": 1321.51, "word": " الحدود", "probability": 0.9881184895833334}, {"start": 1321.51, "end": 1322.15, "word": " الفردية", "probability": 0.97900390625}, {"start": 1322.15, "end": 1322.29, "word": " ل", "probability": 0.77197265625}, {"start": 1322.29, "end": 1322.67, "word": " sequence", "probability": 0.44091796875}, {"start": 1322.67, "end": 1323.27, "word": " xn", "probability": 0.980224609375}, {"start": 1323.27, "end": 1324.47, "word": " طيب", "probability": 0.9558919270833334}, {"start": 1324.47, "end": 1324.59, "word": " و", "probability": 0.896484375}, {"start": 1324.59, "end": 1324.71, "word": " انا", "probability": 0.646728515625}, {"start": 1324.71, "end": 1325.11, "word": " عندي", "probability": 0.7330322265625}, {"start": 1325.11, "end": 1325.93, "word": " ال", "probability": 0.9482421875}, {"start": 1325.93, "end": 1326.37, "word": " sequence", "probability": 0.98974609375}, {"start": 1326.37, "end": 1327.01, 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1333.57, "word": " العدد", "probability": 0.9734700520833334}, {"start": 1333.57, "end": 1333.93, "word": " x", "probability": 0.91357421875}], "temperature": 1.0}, {"id": 47, "seek": 136028, "start": 1340.16, "end": 1360.28, "text": "إذا أنا في عندي هنا since x2n plus one is a subsequence of a sequence xn and xn converges to x", "tokens": [28814, 15730, 41850, 8978, 18871, 16254, 34105, 1670, 2031, 17, 77, 1804, 472, 307, 257, 13924, 655, 295, 257, 8310, 2031, 77, 293, 2031, 77, 9652, 2880, 281, 2031], "avg_logprob": -0.3177083363135656, "compression_ratio": 1.101010101010101, "no_speech_prob": 0.0, "words": [{"start": 1340.16, "end": 1340.46, "word": "إذا", "probability": 0.33929443359375}, {"start": 1340.46, "end": 1340.66, "word": " أنا", "probability": 0.81201171875}, {"start": 1340.66, "end": 1340.88, "word": " في", "probability": 0.76904296875}, {"start": 1340.88, "end": 1341.2, "word": " عندي", "probability": 0.57000732421875}, {"start": 1341.2, "end": 1341.5, "word": " هنا", "probability": 0.97607421875}, {"start": 1341.5, "end": 1342.18, "word": " since", "probability": 0.58203125}, {"start": 1342.18, "end": 1346.0, "word": " x2n", "probability": 0.5538736979166666}, {"start": 1346.0, "end": 1346.54, "word": " plus", "probability": 0.14306640625}, {"start": 1346.54, "end": 1347.08, "word": " one", "probability": 0.8466796875}, {"start": 1347.08, "end": 1348.64, "word": " is", "probability": 0.90185546875}, {"start": 1348.64, "end": 1349.3, "word": " a", "probability": 0.97607421875}, {"start": 1349.3, "end": 1352.24, "word": " subsequence", "probability": 0.979736328125}, {"start": 1352.24, "end": 1353.84, "word": " of", "probability": 0.435546875}, {"start": 1353.84, "end": 1354.22, "word": " a", "probability": 0.60595703125}, {"start": 1354.22, "end": 1354.82, "word": " sequence", "probability": 0.97265625}, {"start": 1354.82, "end": 1355.72, "word": " xn", "probability": 0.89306640625}, {"start": 1355.72, "end": 1357.68, "word": " and", "probability": 0.8671875}, {"start": 1357.68, "end": 1358.6, "word": " xn", "probability": 0.98486328125}, {"start": 1358.6, "end": 1359.58, "word": " converges", "probability": 0.9716796875}, {"start": 1359.58, "end": 1359.84, "word": " to", "probability": 0.98583984375}, {"start": 1359.84, "end": 1360.28, "word": " x", "probability": 0.98046875}], "temperature": 1.0}, {"id": 48, "seek": 138764, "start": 1362.2, "end": 1387.64, "text": "then by previous theorem حسب نظرية السابقة إذا كانت ال sequence convergent ل x فأي subsequence منها بتكون convergent لنفس ال x إذا limit x اتنين n plus one as n tends to infinity بساوي x وبالتالي إذا x بساوي limit", "tokens": [19096, 538, 3894, 20904, 11331, 35457, 8717, 19913, 2288, 10632, 21136, 16758, 28671, 11933, 15730, 25961, 2655, 2423, 8310, 9652, 6930, 5296, 2031, 6156, 10721, 1829, 13924, 655, 9154, 11296, 39894, 30544, 9652, 6930, 5296, 1863, 36178, 2423, 2031, 11933, 15730, 4948, 2031, 1975, 2655, 1863, 9957, 297, 1804, 472, 382, 297, 12258, 281, 13202, 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"end": 1416.03, "word": " كما", "probability": 0.915283203125}, {"start": 1416.03, "end": 1416.37, "word": " هو", "probability": 0.98974609375}, {"start": 1416.37, "end": 1417.01, "word": " مطلوب", "probability": 0.948974609375}], "temperature": 1.0}, {"id": 50, "seek": 143659, "start": 1417.55, "end": 1436.59, "text": "Okay إذا هيك بنكون إحنا برهننا إن ال sequence في المثال هذا اللي معرفة بطريقة استقرائية is convergent ونهايتها خمسة تلاتة Okay تمام؟ المفهوم واضح؟ في أي استفسار؟ في أي سؤال؟", "tokens": [8297, 11933, 15730, 39896, 4117, 44945, 30544, 11933, 5016, 8315, 4724, 2288, 3224, 1863, 8315, 36145, 2423, 8310, 8978, 9673, 12984, 6027, 23758, 13672, 1829, 20449, 28480, 3660, 4724, 9566, 16572, 28671, 44713, 4587, 2288, 16373, 10632, 307, 9652, 6930, 4032, 1863, 11296, 36081, 11296, 16490, 2304, 3794, 3660, 6055, 1211, 9307, 3660, 1033, 46811, 10943, 22807, 9673, 5172, 3224, 20498, 4032, 46958, 5016, 22807, 8978, 36632, 44713, 36178, 9640, 22807, 8978, 36632, 8608, 33604, 6027, 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"word": " تمام؟", "probability": 0.7688802083333334}, {"start": 1432.39, "end": 1432.87, "word": " المفهوم", "probability": 0.864501953125}, {"start": 1432.87, "end": 1433.85, "word": " واضح؟", "probability": 0.942138671875}, {"start": 1433.85, "end": 1433.85, "word": " في", "probability": 0.76171875}, {"start": 1433.85, "end": 1433.95, "word": " أي", "probability": 0.64501953125}, {"start": 1433.95, "end": 1435.31, "word": " استفسار؟", "probability": 0.945068359375}, {"start": 1435.31, "end": 1435.61, "word": " في", "probability": 0.962890625}, {"start": 1435.61, "end": 1435.77, "word": " أي", "probability": 0.9365234375}, {"start": 1435.77, "end": 1436.59, "word": " سؤال؟", "probability": 0.9847412109375}], "temperature": 1.0}, {"id": 51, "seek": 146354, "start": 1437.98, "end": 1463.54, "text": "طيب ناخد كمان مثال يمكن يبقى المثال طويل شوية لكن احنا زى ما شوفته احنا جزقناه الى تلاتة claims او three claims وكل claim كان برهانه by induction مش صعب شفنا برهان واحد منهم المرة اللى فاتت التانين برضه اسأل كمان كل claim بيخطو خطوة الى الامام بيجربنى اكتر من البرهان", "tokens": [9566, 1829, 3555, 8717, 47283, 3215, 9122, 2304, 7649, 50113, 6027, 7251, 43020, 7251, 3555, 4587, 7578, 9673, 12984, 6027, 23032, 2407, 26895, 13412, 2407, 10632, 44381, 1975, 5016, 8315, 30767, 7578, 19446, 13412, 38688, 47395, 1975, 5016, 8315, 10874, 11622, 4587, 8315, 3224, 2423, 7578, 6055, 1211, 9307, 3660, 9441, 1975, 2407, 1045, 9441, 4032, 28820, 3932, 25961, 4724, 2288, 3224, 7649, 3224, 538, 33371, 37893, 20328, 3615, 3555, 13412, 5172, 8315, 4724, 2288, 3224, 7649, 36764, 24401, 9154, 16095, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 16712, 7649, 9957, 4724, 43042, 3224, 24525, 10721, 1211, 9122, 2304, 7649, 28242, 3932, 4724, 1829, 9778, 9566, 2407, 16490, 9566, 2407, 3660, 2423, 7578, 2423, 10943, 10943, 4724, 1829, 7435, 25513, 1863, 7578, 1975, 4117, 2655, 2288, 9154, 2423, 26890, 3224, 7649], "avg_logprob": -0.11854876831851223, "compression_ratio": 1.8661087866108788, 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claim", "probability": 0.986328125}, {"start": 1449.0, "end": 1449.3, "word": " كان", "probability": 0.99267578125}, {"start": 1449.3, "end": 1449.74, "word": " برهانه", "probability": 0.92578125}, {"start": 1449.74, "end": 1449.96, "word": " by", "probability": 0.95166015625}, {"start": 1449.96, "end": 1450.44, "word": " induction", "probability": 0.9814453125}, {"start": 1450.44, "end": 1450.72, "word": " مش", "probability": 0.96044921875}, {"start": 1450.72, "end": 1451.06, "word": " صعب", "probability": 0.9957682291666666}, {"start": 1451.06, "end": 1451.5, "word": " شفنا", "probability": 0.8318684895833334}, {"start": 1451.5, "end": 1452.34, "word": " برهان", "probability": 0.9937744140625}, {"start": 1452.34, "end": 1452.76, "word": " واحد", "probability": 0.99462890625}, {"start": 1452.76, "end": 1453.12, "word": " منهم", "probability": 0.995849609375}, {"start": 1453.12, "end": 1453.88, "word": " المرة", "probability": 0.831787109375}, {"start": 1453.88, "end": 1454.06, "word": " اللى", "probability": 0.953369140625}, {"start": 1454.06, "end": 1454.44, "word": " فاتت", "probability": 0.9908854166666666}, {"start": 1454.44, "end": 1454.82, "word": " التانين", "probability": 0.8497721354166666}, {"start": 1454.82, "end": 1455.16, "word": " برضه", "probability": 0.98876953125}, {"start": 1455.16, "end": 1456.2, "word": " اسأل", "probability": 0.7325846354166666}, {"start": 1456.2, "end": 1458.02, "word": " كمان", "probability": 0.92724609375}, {"start": 1458.02, "end": 1458.48, "word": " كل", "probability": 0.96875}, {"start": 1458.48, "end": 1458.92, "word": " claim", "probability": 0.99072265625}, {"start": 1458.92, "end": 1460.2, "word": " بيخطو", "probability": 0.839453125}, {"start": 1460.2, "end": 1460.64, "word": " خطوة", "probability": 0.939208984375}, {"start": 1460.64, "end": 1460.84, "word": " الى", "probability": 0.886962890625}, {"start": 1460.84, "end": 1461.34, "word": " الامام", "probability": 0.8185221354166666}, {"start": 1461.34, "end": 1462.48, "word": " بيجربنى", "probability": 0.833251953125}, {"start": 1462.48, "end": 1462.86, "word": " اكتر", "probability": 0.9393310546875}, {"start": 1462.86, "end": 1463.06, "word": " من", "probability": 0.994140625}, {"start": 1463.06, "end": 1463.54, "word": " البرهان", "probability": 0.89892578125}], "temperature": 1.0}, {"id": 52, "seek": 149409, "start": 1467.87, "end": 1494.09, "text": "ناخد مثال آخر، تالت إذا example three consider", "tokens": [1863, 47283, 3215, 50113, 6027, 19753, 34740, 12399, 6055, 6027, 2655, 11933, 15730, 1365, 1045, 1949], "avg_logprob": -0.26056985294117646, "compression_ratio": 0.8904109589041096, "no_speech_prob": 0.0, "words": [{"start": 1467.87, "end": 1468.37, "word": "ناخد", "probability": 0.9228515625}, {"start": 1468.37, "end": 1468.85, "word": " مثال", "probability": 0.976806640625}, {"start": 1468.85, "end": 1469.77, "word": " آخر،", "probability": 0.6570638020833334}, {"start": 1469.77, "end": 1470.47, "word": " تالت", "probability": 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"الحد", "probability": 0.3833821614583333}, {"start": 1498.23, "end": 1498.23, "word": " العام", "probability": 0.900146484375}, {"start": 1498.23, "end": 1498.23, "word": " بحيث", "probability": 0.482147216796875}, {"start": 1498.23, "end": 1498.25, "word": " ال", "probability": 0.324951171875}, {"start": 1498.25, "end": 1498.91, "word": " sequence", "probability": 0.09796142578125}, {"start": 1498.91, "end": 1502.55, "word": " xn", "probability": 0.3673095703125}, {"start": 1502.55, "end": 1503.31, "word": " where", "probability": 0.1898193359375}, {"start": 1503.31, "end": 1504.07, "word": " حيث", "probability": 0.67529296875}, {"start": 1504.07, "end": 1505.73, "word": " ال", "probability": 0.61083984375}, {"start": 1505.73, "end": 1506.21, "word": " term", "probability": 0.196533203125}, {"start": 1506.21, "end": 1506.69, "word": " of", "probability": 0.69921875}, {"start": 1506.69, "end": 1506.83, "word": " the", "probability": 0.5029296875}, {"start": 1506.83, "end": 1507.41, "word": " sequence", "probability": 0.93212890625}, {"start": 1507.41, "end": 1508.69, "word": " الحد", "probability": 0.310211181640625}, {"start": 1508.69, "end": 1509.21, "word": " العام", "probability": 0.9443359375}, {"start": 1509.21, "end": 1509.51, "word": " by", "probability": 0.5576171875}, {"start": 1509.51, "end": 1510.19, "word": " definition", "probability": 0.9169921875}, {"start": 1510.19, "end": 1511.49, "word": " بساوي", "probability": 0.705322265625}, {"start": 1511.49, "end": 1511.79, "word": " one", "probability": 0.60888671875}, {"start": 1511.79, "end": 1512.19, "word": " over", "probability": 0.91943359375}, {"start": 1512.19, "end": 1512.55, "word": " one", "probability": 0.9482421875}, {"start": 1512.55, "end": 1512.91, "word": " plus", "probability": 0.90625}, {"start": 1512.91, "end": 1513.21, "word": " one", "probability": 0.94091796875}, {"start": 1513.21, "end": 1513.53, "word": " over", "probability": 0.93017578125}, {"start": 1513.53, "end": 1514.07, "word": " two", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 54, "seek": 153653, "start": 1515.27, "end": 1536.53, "text": "plus one over three و هكذا and so on until we get one over N حيث N ينتمي إلى N لكل N في N بنعرف XN على أنه المجموع أو مجموعة أول N", "tokens": [18954, 472, 670, 1045, 4032, 8032, 4117, 15730, 293, 370, 322, 1826, 321, 483, 472, 670, 426, 11331, 1829, 12984, 426, 7251, 29399, 2304, 1829, 30731, 426, 5296, 28820, 426, 8978, 426, 44945, 3615, 28480, 1783, 45, 15844, 14739, 3224, 9673, 7435, 2304, 45367, 34051, 3714, 7435, 2304, 2407, 27884, 5551, 12610, 426], "avg_logprob": -0.26490161209194746, "compression_ratio": 1.2765957446808511, "no_speech_prob": 0.0, "words": [{"start": 1515.27, "end": 1515.67, "word": "plus", "probability": 0.1334228515625}, {"start": 1515.67, "end": 1515.99, "word": " one", "probability": 0.68408203125}, {"start": 1515.99, "end": 1516.29, "word": " over", "probability": 0.91015625}, {"start": 1516.29, "end": 1517.07, "word": 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1563.23, "end": 1564.67, "word": " partial", "probability": 0.9677734375}, {"start": 1564.67, "end": 1566.95, "word": " ال", "probability": 0.3271484375}, {"start": 1566.95, "end": 1567.59, "word": " nth", "probability": 0.955078125}, {"start": 1567.59, "end": 1568.33, "word": " partial", "probability": 0.96240234375}, {"start": 1568.33, "end": 1570.65, "word": " sum", "probability": 0.9599609375}, {"start": 1570.65, "end": 1571.39, "word": " of", "probability": 0.98193359375}, {"start": 1571.39, "end": 1571.77, "word": " ال", "probability": 0.77783203125}, {"start": 1571.77, "end": 1572.41, "word": " harmonic", "probability": 0.95458984375}, {"start": 1572.41, "end": 1574.41, "word": " ال", "probability": 0.33056640625}, {"start": 1574.41, "end": 1575.07, "word": " harmonic", "probability": 0.9755859375}, {"start": 1575.07, "end": 1576.11, "word": " series", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 56, "seek": 158788, "start": 1580.92, "end": 1587.88, "text": "اللي هي summation from k equals one to infinity ل one over k", "tokens": [6027, 20292, 39896, 28811, 490, 350, 6915, 472, 281, 13202, 5296, 472, 670, 350], "avg_logprob": -0.2776041785875956, "compression_ratio": 0.9710144927536232, "no_speech_prob": 0.0, "words": [{"start": 1580.92, "end": 1581.38, "word": "اللي", "probability": 0.52783203125}, {"start": 1581.38, "end": 1581.82, "word": " هي", "probability": 0.95849609375}, {"start": 1581.82, "end": 1583.28, "word": " summation", "probability": 0.564453125}, {"start": 1583.28, "end": 1584.66, "word": " from", "probability": 0.64697265625}, {"start": 1584.66, "end": 1585.02, "word": " k", "probability": 0.65185546875}, {"start": 1585.02, "end": 1585.52, "word": " equals", "probability": 0.3466796875}, {"start": 1585.52, "end": 1585.82, "word": " one", "probability": 0.86328125}, {"start": 1585.82, "end": 1585.98, "word": " to", "probability": 0.91943359375}, {"start": 1585.98, "end": 1586.54, "word": " infinity", "probability": 0.89013671875}, {"start": 1586.54, "end": 1586.8, "word": " ل", "probability": 0.65869140625}, {"start": 1586.8, "end": 1587.08, "word": " one", "probability": 0.68310546875}, {"start": 1587.08, "end": 1587.46, "word": " over", "probability": 0.94482421875}, {"start": 1587.46, "end": 1587.88, "word": " k", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 57, "seek": 161407, "start": 1591.95, "end": 1614.07, "text": "المطلوب show أن سيكوينس XN divergence ليست convergent، is not convergent بنثبت أن سيكوينس of partial sums متتالية المجاميع الجزئية لل harmonic series بتشكل divergence sequence", "tokens": [45340, 9566, 1211, 37746, 855, 14739, 8608, 1829, 4117, 2407, 9957, 3794, 1783, 45, 47387, 32239, 14851, 9652, 6930, 12399, 307, 406, 9652, 6930, 44945, 12984, 3555, 2655, 14739, 8608, 1829, 4117, 2407, 9957, 3794, 295, 14641, 34499, 44650, 2655, 6027, 10632, 9673, 7435, 10943, 40228, 25724, 11622, 19986, 10632, 24976, 32270, 2638, 39894, 8592, 28820, 47387, 8310], 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"word": " convergent", "probability": 0.949462890625}, {"start": 1601.97, "end": 1603.63, "word": " بنثبت", "probability": 0.7620849609375}, {"start": 1603.63, "end": 1603.79, "word": " أن", "probability": 0.80859375}, {"start": 1603.79, "end": 1605.03, "word": " سيكوينس", "probability": 0.8990885416666666}, {"start": 1605.03, "end": 1606.07, "word": " of", "probability": 0.228515625}, {"start": 1606.07, "end": 1606.63, "word": " partial", "probability": 0.9111328125}, {"start": 1606.63, "end": 1607.13, "word": " sums", "probability": 0.95849609375}, {"start": 1607.13, "end": 1608.11, "word": " متتالية", "probability": 0.9625244140625}, {"start": 1608.11, "end": 1608.71, "word": " المجاميع", "probability": 0.8138427734375}, {"start": 1608.71, "end": 1609.39, "word": " الجزئية", "probability": 0.8978271484375}, {"start": 1609.39, "end": 1610.61, "word": " لل", "probability": 0.884765625}, {"start": 1610.61, "end": 1611.09, "word": " harmonic", "probability": 0.60693359375}, {"start": 1611.09, "end": 1611.65, "word": " series", "probability": 0.89990234375}, {"start": 1611.65, "end": 1612.47, "word": " بتشكل", "probability": 0.9568684895833334}, {"start": 1612.47, "end": 1613.17, "word": " divergence", "probability": 0.560546875}, {"start": 1613.17, "end": 1614.07, "word": " sequence", "probability": 0.499267578125}], "temperature": 1.0}, {"id": 58, "seek": 164762, "start": 1620.34, "end": 1647.62, "text": "by cushy criterion اذا حسب cushy criterion by cushy criterion it suffices to show يكفي اثبات", "tokens": [2322, 18422, 88, 46691, 1975, 15730, 11331, 35457, 18422, 88, 46691, 538, 18422, 88, 46691, 309, 3889, 1473, 281, 855, 7251, 4117, 41185, 1975, 12984, 3555, 9307], "avg_logprob": -0.23507253878882953, "compression_ratio": 1.3048780487804879, "no_speech_prob": 0.0, "words": [{"start": 1620.34, "end": 1620.82, "word": "by", "probability": 0.63232421875}, {"start": 1620.82, "end": 1621.62, "word": " cushy", "probability": 0.6370849609375}, {"start": 1621.62, "end": 1624.38, "word": " criterion", "probability": 0.96630859375}, {"start": 1624.38, "end": 1626.94, "word": " اذا", "probability": 0.522613525390625}, {"start": 1626.94, "end": 1627.88, "word": " حسب", "probability": 0.981689453125}, {"start": 1627.88, "end": 1629.68, "word": " cushy", "probability": 0.7127685546875}, {"start": 1629.68, "end": 1630.42, "word": " criterion", "probability": 0.984375}, {"start": 1630.42, "end": 1639.02, "word": " by", "probability": 0.72607421875}, {"start": 1639.02, "end": 1639.52, "word": " cushy", "probability": 0.96337890625}, {"start": 1639.52, "end": 1640.16, "word": " criterion", "probability": 0.9609375}, {"start": 1640.16, "end": 1641.48, "word": " it", "probability": 0.90185546875}, {"start": 1641.48, "end": 1642.48, "word": " suffices", "probability": 0.905029296875}, {"start": 1642.48, "end": 1645.74, "word": " to", "probability": 0.9501953125}, {"start": 1645.74, "end": 1646.24, "word": " show", "probability": 0.96337890625}, {"start": 1646.24, "end": 1646.92, "word": " يكفي", "probability": 0.9049479166666666}, {"start": 1646.92, "end": 1647.62, "word": " اثبات", "probability": 0.896484375}], "temperature": 1.0}, {"id": 59, "seek": 167570, "start": 1648.94, "end": 1675.7, "text": "يكفي اثبات ان ال sequence عشان نثبت ان ال sequence is divergent it suffices to show ان ال sequence xn is not كوشي لأن كوشي criterion بتقول ان ال sequence is convergent if and only if it is كوشي", "tokens": [1829, 4117, 41185, 1975, 12984, 3555, 9307, 16472, 2423, 8310, 6225, 8592, 7649, 8717, 12984, 3555, 2655, 16472, 2423, 8310, 307, 18558, 6930, 309, 3889, 1473, 281, 855, 16472, 2423, 8310, 2031, 77, 307, 406, 9122, 2407, 8592, 1829, 5296, 33456, 9122, 2407, 8592, 1829, 46691, 39894, 39648, 16472, 2423, 8310, 307, 9652, 6930, 498, 293, 787, 498, 309, 307, 9122, 2407, 8592, 1829], "avg_logprob": -0.23629807692307692, "compression_ratio": 1.6849315068493151, "no_speech_prob": 0.0, "words": [{"start": 1648.94, "end": 1649.54, "word": 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"word": " it", "probability": 0.28955078125}, {"start": 1654.94, "end": 1655.42, "word": " suffices", "probability": 0.80078125}, {"start": 1655.42, "end": 1655.68, "word": " to", "probability": 0.974609375}, {"start": 1655.68, "end": 1656.06, "word": " show", "probability": 0.955078125}, {"start": 1656.06, "end": 1656.44, "word": " ان", "probability": 0.85302734375}, {"start": 1656.44, "end": 1656.7, "word": " ال", "probability": 0.8779296875}, {"start": 1656.7, "end": 1657.2, "word": " sequence", "probability": 0.9833984375}, {"start": 1657.2, "end": 1658.0, "word": " xn", "probability": 0.4547119140625}, {"start": 1658.0, "end": 1659.28, "word": " is", "probability": 0.87646484375}, {"start": 1659.28, "end": 1659.88, "word": " not", "probability": 0.95751953125}, {"start": 1659.88, "end": 1662.6, "word": " كوشي", "probability": 0.79290771484375}, {"start": 1662.6, "end": 1667.92, "word": " لأن", "probability": 0.623291015625}, {"start": 1667.92, "end": 1668.64, "word": " كوشي", "probability": 0.8741455078125}, {"start": 1668.64, "end": 1669.12, "word": " criterion", "probability": 0.58935546875}, {"start": 1669.12, "end": 1669.68, "word": " بتقول", "probability": 0.8603515625}, {"start": 1669.68, "end": 1670.76, "word": " ان", "probability": 0.85205078125}, {"start": 1670.76, "end": 1671.12, "word": " ال", "probability": 0.92333984375}, {"start": 1671.12, "end": 1672.1, "word": " sequence", "probability": 0.97900390625}, {"start": 1672.1, "end": 1672.34, "word": " is", "probability": 0.387939453125}, {"start": 1672.34, "end": 1672.98, "word": " convergent", "probability": 0.9658203125}, {"start": 1672.98, "end": 1673.3, "word": " if", "probability": 0.939453125}, {"start": 1673.3, "end": 1673.52, "word": " and", "probability": 0.888671875}, {"start": 1673.52, "end": 1673.76, "word": " only", "probability": 0.92333984375}, {"start": 1673.76, "end": 1674.14, "word": " if", "probability": 0.97412109375}, {"start": 1674.14, "end": 1675.0, "word": " it", "probability": 0.94921875}, {"start": 1675.0, "end": 1675.22, "word": " is", "probability": 0.92529296875}, {"start": 1675.22, "end": 1675.7, "word": " كوشي", "probability": 0.8909912109375}], "temperature": 1.0}, {"id": 60, "seek": 170290, "start": 1677.18, "end": 1702.9, "text": "وبالتالي هذا بكافي ان احنا نقول ان ال sequence is not convergent if and only if it is not Cauchy عشان نثبت ان ال sequence is divergent ممكن نثبت انها is not Cauchy طيب ال .. الاثبات انها not Cauchy هنستخدم indeed", "tokens": [37746, 6027, 2655, 6027, 1829, 23758, 4724, 4117, 31845, 1829, 16472, 1975, 5016, 8315, 8717, 39648, 16472, 2423, 8310, 307, 406, 9652, 6930, 498, 293, 787, 498, 309, 307, 406, 7544, 625, 88, 6225, 8592, 7649, 8717, 12984, 3555, 2655, 16472, 2423, 8310, 307, 18558, 6930, 3714, 43020, 8717, 12984, 3555, 2655, 16472, 11296, 307, 406, 7544, 625, 88, 23032, 1829, 3555, 2423, 4386, 2423, 5718, 104, 3555, 9307, 16472, 11296, 406, 7544, 625, 88, 8032, 1863, 14851, 9778, 40448, 6451], "avg_logprob": -0.14786585384025808, "compression_ratio": 1.660919540229885, "no_speech_prob": 0.0, "words": [{"start": 1677.1799999999998, "end": 1677.82, "word": "وبالتالي", "probability": 0.93583984375}, {"start": 1677.82, "end": 1678.08, "word": " هذا", "probability": 0.7041015625}, {"start": 1678.08, "end": 1678.58, "word": " بكافي", "probability": 0.7913818359375}, {"start": 1678.58, "end": 1678.7, "word": " ان", "probability": 0.352294921875}, {"start": 1678.7, "end": 1678.92, "word": " احنا", "probability": 0.7976888020833334}, {"start": 1678.92, "end": 1679.24, "word": " نقول", "probability": 0.973876953125}, {"start": 1679.24, "end": 1679.44, "word": " ان", "probability": 0.8759765625}, {"start": 1679.44, "end": 1679.58, "word": " ال", "probability": 0.81787109375}, {"start": 1679.58, "end": 1679.86, "word": " sequence", "probability": 0.60693359375}, {"start": 1679.86, "end": 1680.32, "word": " is", "probability": 0.857421875}, {"start": 1680.32, "end": 1680.56, "word": " not", "probability": 0.95947265625}, {"start": 1680.56, "end": 1681.38, "word": " convergent", "probability": 0.96826171875}, {"start": 1681.38, "end": 1682.18, "word": " if", "probability": 0.91162109375}, {"start": 1682.18, "end": 1682.4, "word": " and", "probability": 0.94873046875}, {"start": 1682.4, "end": 1682.62, "word": " only", "probability": 0.927734375}, {"start": 1682.62, "end": 1682.88, "word": " if", "probability": 0.984375}, {"start": 1682.88, "end": 1683.04, "word": " it", "probability": 0.96826171875}, {"start": 1683.04, "end": 1683.2, "word": " is", "probability": 0.90087890625}, {"start": 1683.2, "end": 1683.46, "word": " not", "probability": 0.958984375}, {"start": 1683.46, "end": 1683.92, "word": " Cauchy", "probability": 0.7906087239583334}, {"start": 1683.92, "end": 1685.62, "word": " عشان", "probability": 0.8701171875}, {"start": 1685.62, "end": 1685.9, "word": " نثبت", "probability": 0.98291015625}, {"start": 1685.9, "end": 1686.02, "word": " ان", 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"probability": 0.7255859375}, {"start": 1692.78, "end": 1693.64, "word": " ..", "probability": 0.7255859375}, {"start": 1693.64, "end": 1696.1, "word": " الاثبات", "probability": 0.8050537109375}, {"start": 1696.1, "end": 1696.52, "word": " انها", "probability": 0.865478515625}, {"start": 1696.52, "end": 1696.82, "word": " not", "probability": 0.93115234375}, {"start": 1696.82, "end": 1697.48, "word": " Cauchy", "probability": 0.939453125}, {"start": 1697.48, "end": 1699.7, "word": " هنستخدم", "probability": 0.958984375}, {"start": 1699.7, "end": 1702.9, "word": " indeed", "probability": 0.72265625}], "temperature": 1.0}, {"id": 61, "seek": 173550, "start": 1709.18, "end": 1735.5, "text": "في حقيقة الأمر لو أخدنا لو كان M أكبر من N فهذا بيقدي ان XM minus XN ايش بيساوي؟ أنا هي عندي ال ..", "tokens": [41185, 11331, 38436, 28671, 16247, 29973, 45164, 5551, 9778, 3215, 8315, 45164, 25961, 376, 5551, 4117, 26890, 9154, 426, 6156, 3224, 15730, 4724, 1829, 4587, 16254, 16472, 1783, 44, 3175, 1783, 45, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 22807, 41850, 39896, 18871, 16254, 2423, 4386], "avg_logprob": -0.30631510230402154, "compression_ratio": 1.2698412698412698, "no_speech_prob": 0.0, "words": [{"start": 1709.18, "end": 1709.44, "word": "في", "probability": 0.7626953125}, {"start": 1709.44, "end": 1710.02, "word": " حقيقة", "probability": 0.9912109375}, {"start": 1710.02, "end": 1710.52, "word": " الأمر", "probability": 0.864013671875}, {"start": 1710.52, "end": 1711.96, "word": " لو", "probability": 0.6875}, {"start": 1711.96, "end": 1712.62, "word": " أخدنا", "probability": 0.9046630859375}, {"start": 1712.62, "end": 1714.9, "word": " لو", "probability": 0.56494140625}, {"start": 1714.9, "end": 1715.48, "word": " كان", "probability": 0.9814453125}, {"start": 1715.48, "end": 1716.02, "word": " M", "probability": 0.6064453125}, {"start": 1716.02, "end": 1716.7, "word": " أكبر", "probability": 0.9352213541666666}, {"start": 1716.7, "end": 1717.04, "word": " من", "probability": 0.98193359375}, {"start": 1717.04, "end": 1717.42, "word": " N", "probability": 0.955078125}, {"start": 1717.42, "end": 1721.12, "word": " فهذا", "probability": 0.9597981770833334}, {"start": 1721.12, "end": 1721.86, "word": " بيقدي", "probability": 0.7012939453125}, {"start": 1721.86, "end": 1723.38, "word": " ان", "probability": 0.50341796875}, {"start": 1723.38, "end": 1724.88, "word": " XM", "probability": 0.5374755859375}, {"start": 1724.88, "end": 1728.32, "word": " minus", "probability": 0.25537109375}, {"start": 1728.32, "end": 1729.34, "word": " XN", "probability": 0.77978515625}, {"start": 1729.34, "end": 1729.8, "word": " ايش", "probability": 0.666259765625}, {"start": 1729.8, "end": 1733.66, "word": " بيساوي؟", "probability": 0.7440592447916666}, {"start": 1733.66, "end": 1733.94, "word": " أنا", "probability": 0.45068359375}, {"start": 1733.94, "end": 1734.16, "word": " هي", "probability": 0.5517578125}, {"start": 1734.16, "end": 1734.6, "word": " عندي", "probability": 0.776123046875}, {"start": 1734.6, "end": 1735.2, "word": " ال", "probability": 0.8193359375}, {"start": 1735.2, "end": 1735.5, "word": " ..", "probability": 0.8037109375}], "temperature": 1.0}, {"id": 62, "seek": 177426, "start": 1746.36, "end": 1774.26, "text": "هي عندي xn و لو بدك تكتب xm ف xm هيكون بساوي واحد اول حد زائد نص زائد تلت و هكذا زائد واحد على n", "tokens": [3224, 1829, 18871, 16254, 2031, 77, 4032, 45164, 47525, 4117, 6055, 4117, 2655, 3555, 2031, 76, 6156, 2031, 76, 39896, 30544, 4724, 3794, 995, 45865, 36764, 24401, 1975, 12610, 11331, 3215, 30767, 16373, 3215, 8717, 9381, 30767, 16373, 3215, 6055, 1211, 2655, 4032, 8032, 4117, 15730, 30767, 16373, 3215, 36764, 24401, 15844, 297], "avg_logprob": -0.16001156800323063, "compression_ratio": 1.4770642201834863, "no_speech_prob": 0.0, "words": [{"start": 1746.36, "end": 1746.68, "word": "هي", "probability": 0.792236328125}, {"start": 1746.68, "end": 1746.96, "word": " عندي", "probability": 0.63330078125}, 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0.69677734375}, {"start": 2017.26, "end": 2017.76, "word": " على", "probability": 0.91162109375}, {"start": 2017.76, "end": 2018.1, "word": " M", "probability": 0.9765625}, {"start": 2018.1, "end": 2020.52, "word": " طيب", "probability": 0.9684244791666666}, {"start": 2020.52, "end": 2021.14, "word": " انا", "probability": 0.73974609375}, {"start": 2021.14, "end": 2021.58, "word": " في", "probability": 0.94189453125}, {"start": 2021.58, "end": 2022.26, "word": " التحليل", "probability": 0.9151611328125}, {"start": 2022.26, "end": 2022.66, "word": " هذا", "probability": 0.75146484375}, {"start": 2022.66, "end": 2023.4, "word": " ماخد", "probability": 0.8260091145833334}], "temperature": 1.0}, {"id": 73, "seek": 204273, "start": 2024.49, "end": 2042.73, "text": "ال M أكبر من N يعني هذا الكلام صحيح إذا كان M أكبر من N طيب الآن take M بساوة 2N بالتأكيد 2N أي عدد طبيعي N لأي عدد طبيعي N 2N أكبر من N", "tokens": [6027, 376, 5551, 4117, 26890, 9154, 426, 37495, 22653, 23758, 2423, 28820, 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"end": 2028.05, "word": " هذا", "probability": 0.93505859375}, {"start": 2028.05, "end": 2028.41, "word": " الكلام", "probability": 0.9309895833333334}, {"start": 2028.41, "end": 2028.91, "word": " صحيح", "probability": 0.995361328125}, {"start": 2028.91, "end": 2029.15, "word": " إذا", "probability": 0.868896484375}, {"start": 2029.15, "end": 2029.49, "word": " كان", "probability": 0.99169921875}, {"start": 2029.49, "end": 2029.81, "word": " M", "probability": 0.9755859375}, {"start": 2029.81, "end": 2030.25, "word": " أكبر", "probability": 0.978515625}, {"start": 2030.25, "end": 2030.45, "word": " من", "probability": 0.99560546875}, {"start": 2030.45, "end": 2030.69, "word": " N", "probability": 0.98681640625}, {"start": 2030.69, "end": 2031.57, "word": " طيب", "probability": 0.9798177083333334}, {"start": 2031.57, "end": 2032.05, "word": " الآن", "probability": 0.6522216796875}, {"start": 2032.05, "end": 2032.67, "word": " take", "probability": 0.6640625}, {"start": 2032.67, "end": 2034.67, "word": " M", "probability": 0.93798828125}, {"start": 2034.67, "end": 2035.39, "word": " بساوة", "probability": 0.77421875}, {"start": 2035.39, "end": 2036.05, "word": " 2N", "probability": 0.660888671875}, {"start": 2036.05, "end": 2036.85, "word": " بالتأكيد", "probability": 0.93779296875}, {"start": 2036.85, "end": 2037.57, "word": " 2N", "probability": 0.824951171875}, {"start": 2037.57, "end": 2037.89, "word": " أي", "probability": 0.66748046875}, {"start": 2037.89, "end": 2038.29, "word": " عدد", "probability": 0.9910481770833334}, {"start": 2038.29, "end": 2038.95, "word": " طبيعي", "probability": 0.9801025390625}, {"start": 2038.95, "end": 2039.21, "word": " N", "probability": 0.5830078125}, {"start": 2039.21, "end": 2039.55, "word": " لأي", "probability": 0.9306640625}, {"start": 2039.55, "end": 2039.81, "word": " عدد", "probability": 0.9951171875}, {"start": 2039.81, "end": 2040.23, "word": " طبيعي", "probability": 0.9896240234375}, {"start": 2040.23, "end": 2040.45, "word": " N", "probability": 0.88525390625}, {"start": 2040.45, "end": 2041.09, "word": " 2N", "probability": 0.6943359375}, {"start": 2041.09, "end": 2042.17, "word": " أكبر", "probability": 0.9812825520833334}, {"start": 2042.17, "end": 2042.41, "word": " من", "probability": 0.99462890625}, {"start": 2042.41, "end": 2042.73, "word": " N", "probability": 0.51171875}], "temperature": 1.0}, {"id": 74, "seek": 207089, "start": 2044.69, "end": 2070.89, "text": "إذا لو عوضت عن M بتنين N في المتباين الأخير هذه هيطلع عندي XM أو X to N negative XN بتطلع أكبر من أو يساوي واحد negative two N على اتنين N صح؟", "tokens": [28814, 15730, 45164, 6225, 2407, 11242, 2655, 18871, 376, 39894, 1863, 9957, 426, 8978, 9673, 2655, 3555, 995, 9957, 16247, 9778, 13546, 29538, 8032, 1829, 9566, 1211, 3615, 18871, 16254, 1783, 44, 34051, 1783, 281, 426, 3671, 1783, 45, 39894, 9566, 1211, 3615, 5551, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 36764, 24401, 3671, 732, 426, 15844, 1975, 2655, 1863, 9957, 426, 20328, 5016, 22807], "avg_logprob": -0.24440298685387, "compression_ratio": 1.3987341772151898, "no_speech_prob": 0.0, "words": [{"start": 2044.69, "end": 2045.07, "word": "إذا", "probability": 0.738525390625}, {"start": 2045.07, "end": 2045.33, "word": " لو", "probability": 0.9892578125}, {"start": 2045.33, "end": 2045.83, "word": " عوضت", "probability": 0.97509765625}, {"start": 2045.83, "end": 2046.05, "word": " عن", "probability": 0.98095703125}, {"start": 2046.05, "end": 2046.39, "word": " M", "probability": 0.6123046875}, {"start": 2046.39, "end": 2047.17, "word": " بتنين", "probability": 0.7277018229166666}, {"start": 2047.17, "end": 2047.55, "word": " N", "probability": 0.91552734375}, {"start": 2047.55, "end": 2048.23, "word": " في", "probability": 0.95166015625}, {"start": 2048.23, "end": 2048.89, "word": " المتباين", "probability": 0.9615234375}, {"start": 2048.89, "end": 2049.39, "word": " الأخير", "probability": 0.83349609375}, {"start": 2049.39, "end": 2049.81, "word": " هذه", "probability": 0.260498046875}, {"start": 2049.81, "end": 2050.87, "word": " هيطلع", "probability": 0.809912109375}, {"start": 2050.87, "end": 2051.21, "word": " عندي", "probability": 0.7017822265625}, {"start": 2051.21, "end": 2052.13, "word": " XM", "probability": 0.647705078125}, {"start": 2052.13, "end": 2053.91, "word": " أو", "probability": 0.5673828125}, {"start": 2053.91, "end": 2054.45, "word": " X", "probability": 0.962890625}, {"start": 2054.45, "end": 2055.49, "word": " to", "probability": 0.335205078125}, {"start": 2055.49, "end": 2055.91, "word": " N", "probability": 0.97607421875}, {"start": 2055.91, "end": 2057.65, "word": " negative", "probability": 0.49267578125}, {"start": 2057.65, "end": 2058.61, "word": " XN", "probability": 0.752197265625}, {"start": 2058.61, "end": 2060.05, "word": " بتطلع", "probability": 0.76666259765625}, {"start": 2060.05, "end": 2060.95, "word": " أكبر", "probability": 0.9493815104166666}, {"start": 2060.95, "end": 2061.21, "word": " من", "probability": 0.9580078125}, {"start": 2061.21, "end": 2061.41, "word": " أو", "probability": 0.9609375}, {"start": 2061.41, "end": 2062.13, "word": " يساوي", "probability": 0.9005126953125}, {"start": 2062.13, "end": 2064.63, "word": " واحد", "probability": 0.929443359375}, {"start": 2064.63, "end": 2065.35, "word": " negative", "probability": 0.9609375}, {"start": 2065.35, "end": 2067.29, "word": " two", "probability": 0.1458740234375}, {"start": 2067.29, "end": 2068.29, "word": " N", "probability": 0.88037109375}, {"start": 2068.29, "end": 2068.67, "word": " على", "probability": 0.8369140625}, {"start": 2068.67, "end": 2069.49, "word": " اتنين", "probability": 0.9268798828125}, {"start": 2069.49, "end": 2069.87, "word": " N", "probability": 0.96826171875}, {"start": 2069.87, "end": 2070.89, "word": " صح؟", "probability": 0.9259440104166666}], "temperature": 1.0}, {"id": 75, "seek": 209046, "start": 2072.15, "end": 2090.47, "text": "اللي هو واحد negative one-half بطلع one-half نص الكلام هذا صحيح لكل n ينتمي إلى n تمام؟", "tokens": [6027, 20292, 31439, 36764, 24401, 3671, 472, 12, 25461, 4724, 9566, 1211, 3615, 472, 12, 25461, 8717, 9381, 2423, 28820, 10943, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 297, 7251, 29399, 2304, 1829, 30731, 297, 46811, 10943, 22807], "avg_logprob": -0.2013221169129396, "compression_ratio": 1.1478260869565218, "no_speech_prob": 0.0, "words": [{"start": 2072.15, "end": 2072.53, "word": "اللي", "probability": 0.96435546875}, {"start": 2072.53, "end": 2072.79, "word": " هو", "probability": 0.9892578125}, {"start": 2072.79, "end": 2073.25, "word": " واحد", "probability": 0.968017578125}, {"start": 2073.25, "end": 2073.87, "word": " negative", "probability": 0.86083984375}, {"start": 2073.87, "end": 2074.25, "word": " one", "probability": 0.72705078125}, {"start": 2074.25, "end": 2074.67, "word": "-half", "probability": 0.6064453125}, {"start": 2074.67, "end": 2075.19, "word": " بطلع", "probability": 0.7901611328125}, {"start": 2075.19, "end": 2075.45, "word": " one", "probability": 0.9443359375}, {"start": 2075.45, "end": 2075.75, "word": "-half", "probability": 0.80029296875}, {"start": 2075.75, "end": 2076.17, "word": " نص", "probability": 0.739990234375}, {"start": 2076.17, "end": 2078.83, "word": " الكلام", "probability": 0.8470052083333334}, {"start": 2078.83, "end": 2079.27, "word": " هذا", "probability": 0.84521484375}, {"start": 2079.27, "end": 2080.99, "word": " صحيح", "probability": 0.995361328125}, {"start": 2080.99, "end": 2082.05, "word": " لكل", "probability": 0.9814453125}, {"start": 2082.05, "end": 2082.53, "word": " n", "probability": 0.625}, {"start": 2082.53, "end": 2085.93, "word": " ينتمي", "probability": 0.9805908203125}, {"start": 2085.93, "end": 2086.33, "word": " إلى", "probability": 0.89404296875}, {"start": 2086.33, "end": 2086.91, "word": " n", "probability": 0.403076171875}, {"start": 2086.91, "end": 2090.47, "word": " تمام؟", "probability": 0.76171875}], "temperature": 1.0}, {"id": 76, "seek": 211471, "start": 2092.31, "end": 2114.71, "text": "إذا أنا أصبح في عندي المتباينة x to n negative xn أكبر من أو ساوي one half for all n belong to a now you can easily show", "tokens": [28814, 15730, 41850, 5551, 9381, 49628, 8978, 18871, 16254, 9673, 2655, 3555, 995, 9957, 3660, 2031, 281, 297, 3671, 2031, 77, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 472, 1922, 337, 439, 297, 5784, 281, 257, 586, 291, 393, 3612, 855], "avg_logprob": -0.22765262113061063, "compression_ratio": 1.162962962962963, "no_speech_prob": 0.0, "words": [{"start": 2092.31, "end": 2092.73, "word": "إذا", "probability": 0.7216796875}, {"start": 2092.73, "end": 2093.01, "word": " أنا", "probability": 0.755859375}, {"start": 2093.01, "end": 2093.53, "word": " أصبح", "probability": 0.9195963541666666}, {"start": 2093.53, "end": 2093.75, "word": " في", "probability": 0.90380859375}, {"start": 2093.75, "end": 2094.07, "word": " عندي", "probability": 0.643310546875}, {"start": 2094.07, "end": 2095.09, "word": " المتباينة", "probability": 0.905517578125}, {"start": 2095.09, "end": 2095.79, "word": " x", "probability": 0.54541015625}, {"start": 2095.79, "end": 2096.21, "word": " to", "probability": 0.5927734375}, {"start": 2096.21, "end": 2096.57, "word": " n", "probability": 0.8837890625}, {"start": 2096.57, "end": 2097.07, "word": " negative", "probability": 0.84912109375}, {"start": 2097.07, "end": 2098.91, "word": " xn", "probability": 0.584716796875}, {"start": 2098.91, "end": 2100.19, "word": " أكبر", "probability": 0.9635416666666666}, {"start": 2100.19, "end": 2100.39, "word": " من", "probability": 0.95751953125}, {"start": 2100.39, "end": 2100.59, "word": " أو", "probability": 0.958984375}, {"start": 2100.59, "end": 2101.31, "word": " ساوي", "probability": 0.9412434895833334}, {"start": 2101.31, "end": 2101.79, "word": " one", "probability": 0.78466796875}, {"start": 2101.79, "end": 2102.33, "word": " half", "probability": 0.59375}, {"start": 2102.33, "end": 2102.77, "word": " for", "probability": 0.85205078125}, {"start": 2102.77, "end": 2103.33, "word": " all", "probability": 0.95166015625}, {"start": 2103.33, "end": 2103.77, "word": " n", "probability": 0.94140625}, {"start": 2103.77, "end": 2104.29, "word": " belong", "probability": 0.463134765625}, {"start": 2104.29, "end": 2104.59, "word": " to", "probability": 0.984375}, {"start": 2104.59, "end": 2104.85, "word": " a", "probability": 0.46044921875}, {"start": 2104.85, "end": 2106.75, "word": " now", "probability": 0.634765625}, {"start": 2106.75, "end": 2109.23, "word": " you", "probability": 0.94775390625}, {"start": 2109.23, "end": 2110.75, "word": " can", "probability": 0.96630859375}, {"start": 2110.75, "end": 2113.25, "word": " easily", "probability": 0.91650390625}, {"start": 2113.25, "end": 2114.71, "word": " show", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 77, "seek": 214362, "start": 2119.5, "end": 2143.62, "text": "ممكن بسهولة اثبات انه this implies المتباينة هذه الأخيرة بتقدي this implies that هذا بيقدي ان ال sequence xn is not Cauchy", "tokens": [2304, 43020, 4724, 3794, 3224, 12610, 3660, 1975, 12984, 3555, 9307, 16472, 3224, 341, 18779, 9673, 2655, 3555, 995, 9957, 3660, 29538, 16247, 9778, 48923, 39894, 4587, 16254, 341, 18779, 300, 23758, 4724, 1829, 4587, 16254, 16472, 2423, 8310, 2031, 77, 307, 406, 7544, 625, 88], "avg_logprob": -0.22440159511058888, "compression_ratio": 1.2753623188405796, "no_speech_prob": 0.0, "words": [{"start": 2119.5, "end": 2119.98, "word": "ممكن", "probability": 0.887939453125}, {"start": 2119.98, "end": 2120.58, "word": " بسهولة", "probability": 0.98505859375}, {"start": 2120.58, "end": 2121.1, "word": " اثبات", "probability": 0.8397216796875}, {"start": 2121.1, "end": 2121.68, "word": " انه", "probability": 0.5125732421875}, {"start": 2121.68, "end": 2122.92, "word": " this", "probability": 0.55322265625}, {"start": 2122.92, "end": 2125.86, "word": " implies", "probability": 0.87255859375}, {"start": 2125.86, "end": 2128.58, "word": " المتباينة", "probability": 0.8960774739583334}, {"start": 2128.58, "end": 2128.86, "word": " هذه", "probability": 0.884765625}, {"start": 2128.86, "end": 2129.5, "word": " الأخيرة", "probability": 0.9241536458333334}, {"start": 2129.5, "end": 2131.54, "word": " بتقدي", "probability": 0.6698404947916666}, {"start": 2131.54, "end": 2133.34, "word": " this", "probability": 0.61572265625}, {"start": 2133.34, "end": 2134.2, "word": " implies", "probability": 0.96484375}, {"start": 2134.2, "end": 2137.54, "word": " that", "probability": 0.83203125}, {"start": 2137.54, "end": 2139.12, "word": " هذا", "probability": 0.75048828125}, {"start": 2139.12, "end": 2139.58, "word": " بيقدي", "probability": 0.685302734375}, {"start": 2139.58, "end": 2139.72, "word": " ان", "probability": 0.8447265625}, {"start": 2139.72, "end": 2139.88, "word": " ال", "probability": 0.88134765625}, {"start": 2139.88, "end": 2140.24, "word": " sequence", "probability": 0.94873046875}, {"start": 2140.24, "end": 2141.26, "word": " xn", "probability": 0.5535888671875}, {"start": 2141.26, "end": 2142.62, "word": " is", "probability": 0.9345703125}, {"start": 2142.62, "end": 2143.02, "word": " not", "probability": 0.96923828125}, {"start": 2143.02, "end": 2143.62, "word": " Cauchy", "probability": 0.825927734375}], "temperature": 1.0}, {"id": 78, "seek": 216816, "start": 2146.72, "end": 2168.16, "text": "is not Cauchy as desired كما هو مطلوب تمام؟ من المتباين هذا ممكن نثبت أن ال sequence تبعتنا ليست Cauchy", "tokens": [271, 406, 7544, 625, 88, 382, 14721, 9122, 15042, 31439, 3714, 9566, 1211, 37746, 46811, 10943, 22807, 9154, 9673, 2655, 3555, 995, 9957, 23758, 3714, 43020, 8717, 12984, 3555, 2655, 14739, 2423, 8310, 6055, 3555, 34268, 8315, 32239, 14851, 7544, 625, 88], "avg_logprob": -0.22674417980881625, "compression_ratio": 1.204724409448819, "no_speech_prob": 0.0, "words": [{"start": 2146.72, "end": 2147.08, "word": "is", "probability": 0.8515625}, 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