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+{"segments": [{"id": 1, "seek": 4643, "start": 19.49, "end": 46.43, "text": "بسم الله الرحمن الرحيم في المحاضرة هذه هناخد يعني مناقشة أو هنناقش بعض المسائل في section 4-1 و 4-2 فإحدى الطالبات سألت في سؤال بقول برهن الجزء B من theorem 4.2.4", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 9673, 5016, 46958, 25720, 29538, 8032, 1863, 47283, 3215, 37495, 22653, 3714, 8315, 4587, 8592, 3660, 34051, 8032, 1863, 8315, 4587, 8592, 45030, 11242, 9673, 3794, 16373, 1211, 8978, 3541, 1017, 12, 16, 4032, 1017, 12, 17, 6156, 28814, 24401, 7578, 41950, 6027, 3555, 9307, 8608, 10721, 1211, 2655, 8978, 8608, 33604, 6027, 4724, 39648, 4724, 2288, 3224, 1863, 25724, 11622, 38207, 363, 9154, 20904, 1017, 13, 17, 13, 19], "avg_logprob": -0.13821373751134047, "compression_ratio": 1.46448087431694, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 19.49, "end": 19.79, "word": "بسم", "probability": 0.88427734375}, {"start": 19.79, "end": 19.99, "word": " الله", 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اثبات ان ال limit لل image لسيكوينس xn لما n تقول ل infinity بساوي L على H لو اثبتت الكلام هذا فحسب السيكوينش هي كتير تانيا بطلع limit F على H بساوي capital L على capital H", "tokens": [270, 3889, 1473, 281, 855, 7251, 4117, 41185, 1975, 12984, 3555, 9307, 16472, 2423, 4948, 24976, 3256, 5296, 3794, 1829, 4117, 2407, 9957, 3794, 2031, 77, 5296, 15042, 297, 6055, 39648, 5296, 13202, 4724, 3794, 995, 45865, 441, 15844, 389, 45164, 1975, 12984, 3555, 2655, 2655, 2423, 28820, 10943, 23758, 6156, 5016, 35457, 21136, 1829, 4117, 2407, 9957, 8592, 39896, 9122, 2655, 13546, 6055, 7649, 25528, 4724, 9566, 1211, 3615, 4948, 479, 15844, 389, 4724, 3794, 995, 45865, 4238, 441, 15844, 4238, 389], "avg_logprob": -0.3186383836326145, "compression_ratio": 1.547872340425532, "no_speech_prob": 0.0, "words": [{"start": 165.74, "end": 166.04, "word": "it", "probability": 0.291748046875}, {"start": 166.04, "end": 166.78, "word": " suffices", "probability": 0.89990234375}, {"start": 166.78, "end": 167.12, 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" to", "probability": 0.310546875}, {"start": 204.05, "end": 204.41, "word": " this", "probability": 0.96044921875}, {"start": 204.41, "end": 205.01, "word": " end", "probability": 0.94873046875}, {"start": 205.01, "end": 205.49, "word": " و", "probability": 0.65234375}, {"start": 205.49, "end": 206.05, "word": " لإثبات", "probability": 0.73740234375}, {"start": 206.05, "end": 206.47, "word": " ذلك", "probability": 0.992919921875}, {"start": 206.47, "end": 207.31, "word": " يعني", "probability": 0.844970703125}, {"start": 207.31, "end": 216.67, "word": " we", "probability": 0.65234375}, {"start": 216.67, "end": 217.53, "word": " have", "probability": 0.9736328125}, {"start": 217.53, "end": 220.71, "word": " from", "probability": 0.92529296875}, {"start": 220.71, "end": 223.35, "word": " sequential", "probability": 0.97119140625}, {"start": 223.35, "end": 224.17, "word": " criterion", "probability": 0.939453125}], "temperature": 1.0}, {"id": 8, "seek": 25428, "start": 227.32, "end": 254.28, "text": "that limit f of x in as n tends to infinity بساوي L أنا عندي فارض ان limit f of x من x أول ل c بساوي L اذا by sequential criterion هذا بكافئ انه لأي sequence x in نهايتها c بطلع نهاية صورتها بساوي L و كذلك and", "tokens": [6780, 4948, 283, 295, 2031, 294, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 45865, 441, 41850, 18871, 16254, 6156, 9640, 11242, 16472, 4948, 283, 295, 2031, 9154, 2031, 5551, 12610, 5296, 269, 4724, 3794, 995, 45865, 441, 1975, 15730, 538, 42881, 46691, 23758, 4724, 4117, 31845, 19986, 16472, 3224, 5296, 10721, 1829, 8310, 2031, 294, 8717, 11296, 36081, 11296, 269, 4724, 9566, 1211, 3615, 8717, 11296, 10632, 20328, 13063, 2655, 11296, 4724, 3794, 995, 45865, 441, 4032, 9122, 8848, 23275, 293], "avg_logprob": -0.27466114026954375, "compression_ratio": 1.559782608695652, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 227.32000000000002, "end": 228.20000000000002, "word": "that", "probability": 0.13916015625}, {"start": 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ال limit ل f على h of x لما x تقول ل xn لما n تقول ل infinity هذا بساوي limit", "tokens": [37746, 6027, 2655, 6027, 1829, 2423, 4948, 5296, 283, 15844, 276, 295, 2031, 5296, 15042, 2031, 6055, 39648, 5296, 2031, 77, 5296, 15042, 297, 6055, 39648, 5296, 13202, 23758, 4724, 3794, 995, 45865, 4948], "avg_logprob": -0.2280133877481733, "compression_ratio": 1.2653061224489797, "no_speech_prob": 0.0, "words": [{"start": 285.84, "end": 286.76, "word": "وبالتالي", "probability": 0.90751953125}, {"start": 286.76, "end": 287.06, "word": " ال", "probability": 0.274658203125}, {"start": 287.06, "end": 287.42, "word": " limit", "probability": 0.7294921875}, {"start": 287.42, "end": 289.06, "word": " ل", "probability": 0.87646484375}, {"start": 289.06, "end": 289.46, "word": " f", "probability": 0.1868896484375}, {"start": 289.46, "end": 289.72, "word": " على", "probability": 0.724609375}, {"start": 289.72, "end": 290.2, "word": " h", "probability": 0.89501953125}, {"start": 290.2, "end": 292.4, 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"word": " ال", "probability": 0.76416015625}, {"start": 681.83, "end": 682.19, "word": " delta", "probability": 0.95166015625}, {"start": 682.19, "end": 682.51, "word": " ممكن", "probability": 0.977294921875}, {"start": 682.51, "end": 683.07, "word": " أخدها", "probability": 0.9171142578125}, {"start": 683.07, "end": 683.81, "word": " أي", "probability": 0.7734375}, {"start": 683.81, "end": 684.21, "word": " عدد", "probability": 0.9827473958333334}, {"start": 684.21, "end": 684.69, "word": " أصغر", "probability": 0.99072265625}, {"start": 684.69, "end": 684.85, "word": " من", "probability": 0.73388671875}, {"start": 684.85, "end": 684.99, "word": " أو", "probability": 0.85888671875}, {"start": 684.99, "end": 685.63, "word": " ساوي", "probability": 0.9295247395833334}, {"start": 685.63, "end": 686.45, "word": " طبعا", "probability": 0.9052734375}, {"start": 686.45, "end": 686.83, "word": " عدد", "probability": 0.9855143229166666}, {"start": 686.83, "end": 687.31, "word": " موجب", "probability": 0.9713541666666666}, {"start": 687.31, "end": 687.87, "word": " وأصغر", "probability": 0.9095458984375}, {"start": 687.87, "end": 688.09, "word": " من", "probability": 0.99658203125}, {"start": 688.09, "end": 688.31, "word": " أو", "probability": 0.97314453125}, {"start": 688.31, "end": 688.85, "word": " ساوي", "probability": 0.9733072916666666}, {"start": 688.85, "end": 689.27, "word": " جدر", "probability": 0.9951171875}, {"start": 689.27, "end": 689.45, "word": " ال", "probability": 0.93212890625}, {"start": 689.45, "end": 689.81, "word": " c", "probability": 0.92529296875}, {"start": 689.81, "end": 690.51, "word": " في", "probability": 0.98828125}, {"start": 690.51, "end": 690.89, "word": " epsilon", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 24, "seek": 71480, "start": 692.46, "end": 714.8, "text": "عشان يطلع المقدار هذا أصغر من إبسلون بالتالي المقدار هذا أصغر من إبسلون إذا شوفتوا كيف نجيب الـ delta إذا نجيب نقول let epsilon let epsilon أكبر من السفر be given choose delta بتساوي", "tokens": [3615, 8592, 7649, 7251, 9566, 1211, 3615, 9673, 28543, 9640, 23758, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 20666, 2655, 6027, 1829, 9673, 28543, 9640, 23758, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 11933, 15730, 13412, 38688, 2655, 14407, 9122, 33911, 8717, 7435, 1829, 3555, 2423, 39184, 8289, 11933, 15730, 8717, 7435, 1829, 3555, 8717, 39648, 718, 17889, 718, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 312, 2212, 2826, 8289, 39894, 3794, 995, 45865], "avg_logprob": -0.23647103731225178, "compression_ratio": 1.7245508982035929, "no_speech_prob": 0.0, "words": [{"start": 692.46, "end": 692.96, "word": "عشان", "probability": 0.7556966145833334}, {"start": 692.96, "end": 693.32, "word": " يطلع", "probability": 0.8721923828125}, {"start": 693.32, "end": 693.94, "word": " المقدار", "probability": 0.9111328125}, {"start": 693.94, "end": 694.28, "word": " هذا", "probability": 0.875}, 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of x زاد x بيساوي f of x زاد f of x صح يعني بيساوي اتنين في f of x تمام طيب take limit of both sides take limit", "tokens": [69, 295, 2031, 30767, 18513, 2031, 4724, 1829, 3794, 995, 45865, 283, 295, 2031, 30767, 18513, 283, 295, 2031, 20328, 5016, 37495, 22653, 4724, 1829, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8978, 283, 295, 2031, 46811, 10943, 23032, 1829, 3555, 747, 4948, 295, 1293, 4881, 747, 4948], "avg_logprob": -0.21699616860370247, "compression_ratio": 1.438095238095238, "no_speech_prob": 0.0, "words": [{"start": 1131.23, "end": 1131.63, "word": "f", "probability": 0.3203125}, {"start": 1131.63, "end": 1131.85, "word": " of", "probability": 0.307373046875}, {"start": 1131.85, "end": 1132.13, "word": " x", "probability": 0.96875}, {"start": 1132.13, "end": 1132.57, "word": " زاد", "probability": 0.540283203125}, {"start": 1132.57, "end": 1132.85, "word": " x", "probability": 0.962890625}, {"start": 1132.85, "end": 1133.45, "word": " بيساوي", "probability": 0.7292724609375}, 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119172, "start": 1162.62, "end": 1191.72, "text": "of both sides as x tends to zero we get نحصل على انه ال limit ل f ل 2x لما x تقول ل 0 بساوي 2 في ال limit ل f of x لما x تقول ل 0", "tokens": [2670, 1293, 4881, 382, 2031, 12258, 281, 4018, 321, 483, 8717, 5016, 36520, 15844, 16472, 3224, 2423, 4948, 5296, 283, 5296, 568, 87, 5296, 15042, 2031, 6055, 39648, 5296, 1958, 4724, 3794, 995, 45865, 568, 8978, 2423, 4948, 5296, 283, 295, 2031, 5296, 15042, 2031, 6055, 39648, 5296, 1958], "avg_logprob": -0.2198437437415123, "compression_ratio": 1.352, "no_speech_prob": 0.0, "words": [{"start": 1162.62, "end": 1163.18, "word": "of", "probability": 0.42724609375}, {"start": 1163.18, "end": 1163.62, "word": " both", "probability": 0.91064453125}, {"start": 1163.62, "end": 1164.24, "word": " sides", "probability": 0.91357421875}, {"start": 1164.24, "end": 1169.32, "word": " as", "probability": 0.701171875}, {"start": 1169.32, "end": 1169.76, "word": " x", "probability": 0.83984375}, {"start": 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"probability": 0.97119140625}, {"start": 1239.82, "end": 1240.1, "word": " 0", "probability": 0.97705078125}, {"start": 1240.1, "end": 1242.14, "word": " صح؟", "probability": 0.8805338541666666}, {"start": 1242.14, "end": 1242.54, "word": " خدي", "probability": 0.7763671875}, {"start": 1242.54, "end": 1242.82, "word": " Y", "probability": 0.953125}, {"start": 1242.82, "end": 1243.28, "word": " بساوي", "probability": 0.666748046875}, {"start": 1243.28, "end": 1243.96, "word": " 2X", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 44, "seek": 127404, "start": 1246.12, "end": 1274.04, "text": "فالمهي هنا limit f of y لما y تقل ل 0 ال independent variable ده سميه x سميه y it doesn't matter مش مهم اه لإن هذا برضه ال limit هذه بساوي L لإن أنا أصب�� عندي لإن أنا أصبح عندي أنا معادلة L بساوي two L حل المعادلة هذه", "tokens": [5172, 45340, 3224, 1829, 34105, 4948, 283, 295, 288, 5296, 15042, 288, 6055, 4587, 1211, 5296, 1958, 2423, 6695, 7006, 11778, 3224, 8608, 2304, 1829, 3224, 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"probability": 0.927734375}, {"start": 1255.06, "end": 1255.36, "word": " y", "probability": 0.95703125}, {"start": 1255.36, "end": 1255.98, "word": " it", "probability": 0.767578125}, {"start": 1255.98, "end": 1256.34, "word": " doesn't", "probability": 0.936279296875}, {"start": 1256.34, "end": 1256.8, "word": " matter", "probability": 0.86865234375}, {"start": 1256.8, "end": 1257.54, "word": " مش", "probability": 0.806640625}, {"start": 1257.54, "end": 1257.88, "word": " مهم", "probability": 0.9130859375}, {"start": 1257.88, "end": 1258.82, "word": " اه", "probability": 0.7054443359375}, {"start": 1258.82, "end": 1259.16, "word": " لإن", "probability": 0.6310221354166666}, {"start": 1259.16, "end": 1259.4, "word": " هذا", "probability": 0.71875}, {"start": 1259.4, "end": 1259.76, "word": " برضه", "probability": 0.916015625}, {"start": 1259.76, "end": 1259.9, "word": " ال", "probability": 0.394287109375}, {"start": 1259.9, "end": 1260.16, "word": " limit", "probability": 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1305.43, "end": 1333.25, "text": "واضح البرهان هنا تمام نبرهن الجزء التاني طيب نبرهن الجزء التاني برضه الجزء التاني فيه له hint فنستخدم ال hint also", "tokens": [2407, 46958, 5016, 2423, 26890, 3224, 7649, 34105, 46811, 10943, 8717, 26890, 3224, 1863, 25724, 11622, 38207, 16712, 7649, 1829, 23032, 1829, 3555, 8717, 26890, 3224, 1863, 25724, 11622, 38207, 16712, 7649, 1829, 4724, 43042, 3224, 25724, 11622, 38207, 16712, 7649, 1829, 8978, 3224, 46740, 12075, 6156, 1863, 14851, 9778, 40448, 2423, 12075, 611], "avg_logprob": -0.09588068181818182, "compression_ratio": 1.7043478260869565, "no_speech_prob": 0.0, "words": [{"start": 1305.43, "end": 1305.93, "word": "واضح", "probability": 0.9860026041666666}, {"start": 1305.93, "end": 1306.73, "word": " البرهان", "probability": 0.845947265625}, {"start": 1306.73, "end": 1306.99, "word": " هنا", "probability": 0.9521484375}, {"start": 1306.99, "end": 1308.59, "word": " تمام", "probability": 0.818603515625}, {"start": 1308.59, "end": 1310.39, "word": " نبرهن", "probability": 0.82098388671875}, {"start": 1310.39, "end": 1310.75, "word": " الجزء", "probability": 0.986328125}, {"start": 1310.75, "end": 1311.69, "word": " التاني", "probability": 0.9187825520833334}, {"start": 1311.69, "end": 1317.65, "word": " طيب", "probability": 0.90771484375}, {"start": 1317.65, "end": 1318.11, "word": " نبرهن", "probability": 0.93896484375}, {"start": 1318.11, "end": 1318.49, "word": " الجزء", "probability": 0.9910481770833334}, {"start": 1318.49, "end": 1319.87, "word": " التاني", "probability": 0.9796549479166666}, {"start": 1319.87, "end": 1323.57, "word": " برضه", "probability": 0.9611002604166666}, {"start": 1323.57, "end": 1323.95, "word": " الجزء", "probability": 0.9851888020833334}, {"start": 1323.95, "end": 1324.51, "word": " التاني", "probability": 0.98779296875}, {"start": 1324.51, "end": 1324.83, "word": " فيه", "probability": 0.921630859375}, {"start": 1324.83, "end": 1325.01, "word": " له", "probability": 0.37890625}, 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1360.75, "word": " صح؟", "probability": 0.89892578125}], "temperature": 1.0}, {"id": 48, "seek": 139310, "start": 1364.78, "end": 1393.1, "text": "و هذا بيساوي F of X minus C زائد F of C تمام طيب هذا صحيح for all C ينتمي ل R و طبعا for all X و for all X ينتمي ل R", "tokens": [2407, 23758, 4724, 1829, 3794, 995, 45865, 479, 295, 1783, 3175, 383, 30767, 16373, 3215, 479, 295, 383, 46811, 10943, 23032, 1829, 3555, 23758, 20328, 5016, 1829, 5016, 337, 439, 383, 7251, 29399, 2304, 1829, 5296, 497, 4032, 23032, 3555, 3615, 995, 337, 439, 1783, 4032, 337, 439, 1783, 7251, 29399, 2304, 1829, 5296, 497], "avg_logprob": -0.22474888179983413, "compression_ratio": 1.361344537815126, "no_speech_prob": 0.0, "words": [{"start": 1364.78, "end": 1365.1, "word": "و", "probability": 0.9150390625}, {"start": 1365.1, "end": 1365.52, "word": " هذا", "probability": 0.4990234375}, {"start": 1365.52, "end": 1366.3, "word": " بيساوي", "probability": 0.8412109375}, {"start": 1366.3, "end": 1372.2, "word": " F", 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"probability": 0.9892578125}, {"start": 1382.82, "end": 1383.24, "word": " for", "probability": 0.72119140625}, {"start": 1383.24, "end": 1383.9, "word": " all", "probability": 0.9404296875}, {"start": 1383.9, "end": 1384.48, "word": " C", "probability": 0.92431640625}, {"start": 1384.48, "end": 1386.08, "word": " ينتمي", "probability": 0.944091796875}, {"start": 1386.08, "end": 1386.2, "word": " ل", "probability": 0.810546875}, {"start": 1386.2, "end": 1386.52, "word": " R", "probability": 0.5361328125}, {"start": 1386.52, "end": 1387.26, "word": " و", "probability": 0.9072265625}, {"start": 1387.26, "end": 1387.58, "word": " طبعا", "probability": 0.968994140625}, {"start": 1387.58, "end": 1387.8, "word": " for", "probability": 0.908203125}, {"start": 1387.8, "end": 1388.18, "word": " all", "probability": 0.95849609375}, {"start": 1388.18, "end": 1388.58, "word": " X", "probability": 0.98876953125}, {"start": 1388.58, "end": 1390.86, "word": " و", "probability": 0.89453125}, {"start": 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"probability": 0.420654296875}, {"start": 2134.56, "end": 2135.18, "word": " X", "probability": 0.92822265625}, {"start": 2135.18, "end": 2135.64, "word": " minus", "probability": 0.87890625}, {"start": 2135.64, "end": 2136.02, "word": " C", "probability": 0.95556640625}, {"start": 2136.02, "end": 2136.5, "word": " اصغر", "probability": 0.8563232421875}, {"start": 2136.5, "end": 2136.7, "word": " من", "probability": 0.99365234375}, {"start": 2136.7, "end": 2137.06, "word": " Delta", "probability": 0.806640625}, {"start": 2137.06, "end": 2137.6, "word": " اكبر", "probability": 0.9332682291666666}, {"start": 2137.6, "end": 2137.84, "word": " من", "probability": 0.99658203125}, {"start": 2137.84, "end": 2138.3, "word": " سفر", "probability": 0.7396647135416666}, {"start": 2138.3, "end": 2139.52, "word": " هذا", "probability": 0.87158203125}, {"start": 2139.52, "end": 2140.28, "word": " بيقدي", "probability": 0.705322265625}], "temperature": 1.0}, {"id": 75, "seek": 216357, "start": 2141.49, "end": 2163.57, "text": "إنه absolute f of x minus L أصغر من إبسلم نسمي هذا star نسمي ال implication هذا star hence", "tokens": [28814, 1863, 3224, 8236, 283, 295, 2031, 3175, 441, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 19528, 8717, 38251, 1829, 23758, 3543, 8717, 38251, 1829, 2423, 37814, 23758, 3543, 16678], "avg_logprob": -0.3300781277939677, "compression_ratio": 1.1111111111111112, "no_speech_prob": 0.0, "words": [{"start": 2141.49, "end": 2142.33, "word": "إنه", "probability": 0.43902587890625}, {"start": 2142.33, "end": 2142.81, "word": " absolute", "probability": 0.6484375}, {"start": 2142.81, "end": 2143.45, "word": " f", "probability": 0.57861328125}, {"start": 2143.45, "end": 2143.73, "word": " of", "probability": 0.51220703125}, {"start": 2143.73, "end": 2144.19, "word": " x", "probability": 0.87939453125}, {"start": 2144.19, "end": 2144.95, "word": " minus", "probability": 0.7275390625}, {"start": 2144.95, "end": 2145.55, "word": " L", "probability": 0.654296875}, {"start": 2145.55, "end": 2147.01, "word": " أصغر", "probability": 0.9708251953125}, {"start": 2147.01, "end": 2147.23, "word": " من", "probability": 0.9921875}, {"start": 2147.23, "end": 2147.79, "word": " إبسلم", "probability": 0.68524169921875}, {"start": 2147.79, "end": 2148.35, "word": " نسمي", "probability": 0.814697265625}, {"start": 2148.35, "end": 2148.67, "word": " هذا", "probability": 0.8603515625}, {"start": 2148.67, "end": 2149.47, "word": " star", "probability": 0.6396484375}, {"start": 2149.47, "end": 2151.33, "word": " نسمي", "probability": 0.9029947916666666}, {"start": 2151.33, "end": 2151.43, "word": " ال", "probability": 0.93505859375}, {"start": 2151.43, "end": 2151.89, "word": " implication", "probability": 0.9482421875}, {"start": 2151.89, "end": 2152.31, "word": " هذا", "probability": 0.435302734375}, {"start": 2152.31, "end": 2152.87, "word": " star", "probability": 0.92041015625}, {"start": 2152.87, "end": 2163.57, "word": " hence", "probability": 0.6669921875}], "temperature": 1.0}, {"id": 76, "seek": 219514, "start": 2168.2, "end": 2195.14, "text": "by triangle inequality من متبينة المثلث x ينتمي by triangle inequality and star we have لدينا لو كان x ينتمي ل a و absolute x minus c أكبر من سفر أصغر من delta", "tokens": [2322, 13369, 16970, 9154, 44650, 3555, 9957, 3660, 9673, 12984, 1211, 12984, 2031, 7251, 29399, 2304, 1829, 538, 13369, 16970, 293, 3543, 321, 362, 5296, 16254, 8315, 45164, 25961, 2031, 7251, 29399, 2304, 1829, 5296, 257, 4032, 8236, 2031, 3175, 269, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 5551, 9381, 17082, 2288, 9154, 8289], "avg_logprob": -0.18721591180021113, "compression_ratio": 1.390728476821192, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2168.2, "end": 2168.84, "word": "by", "probability": 0.310302734375}, {"start": 2168.84, "end": 2169.74, "word": " triangle", "probability": 0.7939453125}, {"start": 2169.74, "end": 2170.56, "word": " inequality", "probability": 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0.9697265625}, {"start": 2183.94, "end": 2184.74, "word": " لدينا", "probability": 0.86865234375}, {"start": 2184.74, "end": 2185.9, "word": " لو", "probability": 0.81494140625}, {"start": 2185.9, "end": 2186.26, "word": " كان", "probability": 0.98681640625}, {"start": 2186.26, "end": 2186.64, "word": " x", "probability": 0.95166015625}, {"start": 2186.64, "end": 2187.32, "word": " ينتمي", "probability": 0.97802734375}, {"start": 2187.32, "end": 2187.5, "word": " ل", "probability": 0.8798828125}, {"start": 2187.5, "end": 2187.94, "word": " a", "probability": 0.439697265625}, {"start": 2187.94, "end": 2188.96, "word": " و", "probability": 0.76513671875}, {"start": 2188.96, "end": 2189.38, "word": " absolute", "probability": 0.6279296875}, {"start": 2189.38, "end": 2189.98, "word": " x", "probability": 0.931640625}, {"start": 2189.98, "end": 2190.5, "word": " minus", "probability": 0.771484375}, {"start": 2190.5, "end": 2190.84, "word": " c", "probability": 0.82763671875}, {"start": 2190.84, "end": 2191.32, "word": " أكبر", "probability": 0.9288736979166666}, {"start": 2191.32, "end": 2191.56, "word": " من", "probability": 0.99609375}, {"start": 2191.56, "end": 2191.98, "word": " سفر", "probability": 0.74658203125}, {"start": 2191.98, "end": 2192.68, "word": " أصغر", "probability": 0.9515380859375}, {"start": 2192.68, "end": 2194.66, "word": " من", "probability": 0.9833984375}, {"start": 2194.66, "end": 2195.14, "word": " delta", "probability": 0.466064453125}], "temperature": 1.0}, {"id": 77, "seek": 222606, "start": 2197.04, "end": 2226.06, "text": "فهذا بيقدي انه absolute .. absolute f of x minus absolute ال L هذا بيساوي absolute .. absolute f of x minus absolute L", "tokens": [5172, 3224, 15730, 4724, 1829, 4587, 16254, 16472, 3224, 8236, 4386, 8236, 283, 295, 2031, 3175, 8236, 2423, 441, 23758, 4724, 1829, 3794, 995, 45865, 8236, 4386, 8236, 283, 295, 2031, 3175, 8236, 441], "avg_logprob": -0.2500000068119594, "compression_ratio": 1.7195121951219512, "no_speech_prob": 0.0, "words": [{"start": 2197.04, "end": 2197.92, "word": "فهذا", "probability": 0.8732096354166666}, {"start": 2197.92, "end": 2198.62, "word": " بيقدي", "probability": 0.56817626953125}, {"start": 2198.62, "end": 2200.32, "word": " انه", "probability": 0.448486328125}, {"start": 2200.32, "end": 2200.88, "word": " absolute", "probability": 0.78564453125}, {"start": 2200.88, "end": 2201.68, "word": " ..", "probability": 0.30224609375}, {"start": 2201.68, "end": 2203.68, "word": " absolute", "probability": 0.8955078125}, {"start": 2203.68, "end": 2205.24, "word": " f", "probability": 0.46337890625}, {"start": 2205.24, "end": 2207.52, "word": " of", "probability": 0.6875}, {"start": 2207.52, "end": 2208.24, "word": " x", "probability": 0.92333984375}, {"start": 2208.24, "end": 2209.32, "word": " minus", "probability": 0.9462890625}, {"start": 2209.32, "end": 2211.08, "word": " absolute", "probability": 0.9619140625}, {"start": 2211.08, "end": 2213.02, "word": " ال", "probability": 0.74853515625}, {"start": 2213.02, "end": 2213.5, "word": " L", "probability": 0.56591796875}, {"start": 2213.5, "end": 2215.96, "word": " هذا", "probability": 0.92822265625}, {"start": 2215.96, "end": 2216.98, "word": " بيساوي", "probability": 0.9041015625}, {"start": 2216.98, "end": 2218.16, "word": " absolute", "probability": 0.94189453125}, {"start": 2218.16, "end": 2219.3, "word": " ..", "probability": 0.955078125}, {"start": 2219.3, "end": 2220.44, "word": " absolute", "probability": 0.96875}, {"start": 2220.44, "end": 2221.2, "word": " f", "probability": 0.93798828125}, {"start": 2221.2, "end": 2221.56, "word": " of", "probability": 0.98095703125}, {"start": 2221.56, "end": 2222.08, "word": " x", "probability": 0.9853515625}, {"start": 2222.08, "end": 2224.46, "word": " minus", "probability": 0.99365234375}, {"start": 2224.46, "end": 2225.32, "word": " absolute", "probability": 0.943359375}, {"start": 2225.32, "end": 2226.06, "word": " L", "probability": 0.970703125}], "temperature": 1.0}, {"id": 78, "seek": 226173, "start": 2232.84, "end": 2261.74, "text": "وهذا by ال triangle inequality by ال triangle inequality أصغر من أوي ساوي absolute f of x minus l و by star absolute f of x minus l أصغر من إبسل تمام؟ since إبسلون was arbitrary", "tokens": [2407, 3224, 15730, 538, 2423, 13369, 16970, 538, 2423, 13369, 16970, 5551, 9381, 17082, 2288, 9154, 34051, 1829, 8608, 995, 45865, 8236, 283, 295, 2031, 3175, 287, 4032, 538, 3543, 8236, 283, 295, 2031, 3175, 287, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 46811, 10943, 22807, 1670, 11933, 3555, 3794, 1211, 11536, 390, 23211], "avg_logprob": -0.22299890560016297, "compression_ratio": 1.5492957746478873, "no_speech_prob": 0.0, "words": [{"start": 2232.8399999999997, "end": 2233.7599999999998, "word": "وهذا", "probability": 0.7947591145833334}, {"start": 2233.7599999999998, "end": 2234.68, "word": " by", "probability": 0.59716796875}, {"start": 2234.68, "end": 2234.86, "word": " ال", "probability": 0.513671875}, {"start": 2234.86, "end": 2235.28, "word": " triangle", "probability": 0.69384765625}, {"start": 2235.28, "end": 2236.18, "word": " inequality", "probability": 0.9609375}, {"start": 2236.18, "end": 2236.56, "word": " by", "probability": 0.2010498046875}, {"start": 2236.56, "end": 2236.76, "word": " ال", "probability": 0.91357421875}, {"start": 2236.76, "end": 2237.3, "word": " triangle", "probability": 0.78759765625}, {"start": 2237.3, "end": 2239.82, "word": " inequality", "probability": 0.98388671875}, {"start": 2239.82, "end": 2240.54, "word": " أصغر", "probability": 0.96142578125}, {"start": 2240.54, "end": 2240.72, "word": " من", "probability": 0.98095703125}, {"start": 2240.72, "end": 2241.08, "word": " أوي", "probability": 0.897216796875}, {"start": 2241.08, "end": 2241.54, "word": " ساوي", "probability": 0.74609375}, {"start": 2241.54, "end": 2242.14, "word": " absolute", "probability": 0.74365234375}, {"start": 2242.14, "end": 2243.56, "word": " f", "probability": 0.59130859375}, {"start": 2243.56, "end": 2243.78, "word": " of", "probability": 0.732421875}, {"start": 2243.78, "end": 2244.1, "word": " x", "probability": 0.79541015625}, {"start": 2244.1, "end": 2244.52, "word": " minus", "probability": 0.9248046875}, {"start": 2244.52, "end": 2244.92, "word": " l", "probability": 0.466796875}, {"start": 2244.92, "end": 2246.36, "word": " و", "probability": 0.82470703125}, {"start": 2246.36, "end": 2246.68, "word": " by", "probability": 0.84521484375}, {"start": 2246.68, "end": 2247.34, "word": " star", "probability": 0.7763671875}, {"start": 2247.34, "end": 2249.44, "word": " absolute", "probability": 0.90283203125}, {"start": 2249.44, "end": 2249.86, "word": " f", "probability": 0.82666015625}, {"start": 2249.86, "end": 2250.04, "word": " of", "probability": 0.97021484375}, {"start": 2250.04, "end": 2250.24, "word": " x", "probability": 0.99462890625}, {"start": 2250.24, "end": 2250.68, "word": " minus", "probability": 0.99072265625}, {"start": 2250.68, "end": 2251.1, "word": " l", "probability": 0.947265625}, {"start": 2251.1, "end": 2251.68, "word": " أصغر", "probability": 0.991455078125}, {"start": 2251.68, "end": 2251.84, "word": " من", "probability": 0.994140625}, {"start": 2251.84, "end": 2252.3, "word": " إبسل", "probability": 0.717376708984375}, {"start": 2252.3, "end": 2254.78, "word": " تمام؟", "probability": 0.62939453125}, {"start": 2254.78, "end": 2256.6, "word": " since", "probability": 0.81689453125}, {"start": 2256.6, "end": 2257.38, "word": " إبسلون", "probability": 0.925390625}, {"start": 2257.38, "end": 2261.02, "word": " was", "probability": 0.93701171875}, {"start": 2261.02, "end": 2261.74, "word": " arbitrary", "probability": 0.81640625}], "temperature": 1.0}, {"id": 79, "seek": 226864, "start": 2267.34, "end": 2268.64, "text": "إذاً we have", "tokens": [28814, 15730, 14111, 321, 362], "avg_logprob": -0.5159505208333334, "compression_ratio": 0.64, "no_speech_prob": 0.0, "words": 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\ No newline at end of file