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+{"segments": [{"id": 1, "seek": 1166, "start": 0.0, "end": 11.66, "text": "سلام عليكم ورحمة الله الرحمن الرحيم اليوم ان شاء الله راح نكمل في chapter عشرة اللي هو ال infinite sequence and series حكينا بالأول section عشرة واحد عن ال infinite sequence عرفنا إيش هي ال sequence", "tokens": [3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 16472, 13412, 16606, 21984, 12602, 39319, 8717, 24793, 1211, 8978, 7187, 6225, 8592, 25720, 13672, 1829, 31439, 2423, 13785, 8310, 293, 2638, 11331, 4117, 1829, 8315, 20666, 10721, 12610, 3541, 6225, 8592, 25720, 36764, 24401, 18871, 2423, 13785, 8310, 6225, 28480, 8315, 11933, 1829, 8592, 39896, 2423, 8310], "avg_logprob": -0.33309659948854736, "compression_ratio": 1.6836158192090396, "no_speech_prob": 4.023313522338867e-05, "words": [{"start": 0.0, "end": 0.18, "word": "سلام", "probability": 0.4481201171875}, {"start": 0.18, "end": 0.34, "word": " عليكم", "probability": 0.77490234375}, 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N تساوي واحد إلى ما لنهاية برضه نفس الشيء بإننا نستخدم ال sequence of partial sum في إيجاد ال series converge او diverge وذا كانت conversion وجد مجموعة S1 طبعا اللي هو أول حد لما معوض ب N تساوي واحد اللي هي واحد", "tokens": [3794, 33604, 6027, 19753, 34740, 28811, 5296, 16, 15844, 568, 16247, 3794, 19986, 37977, 3714, 7649, 4587, 3794, 36764, 24401, 9154, 426, 6055, 3794, 995, 45865, 36764, 24401, 30731, 19446, 5296, 1863, 11296, 10632, 4724, 43042, 3224, 8717, 36178, 25124, 1829, 38207, 4724, 28814, 1863, 8315, 8717, 14851, 9778, 40448, 2423, 8310, 295, 14641, 2408, 8978, 11933, 1829, 7435, 18513, 2423, 2638, 41881, 1975, 2407, 18558, 432, 4032, 15730, 25961, 2655, 14298, 49610, 3215, 3714, 7435, 2304, 2407, 27884, 318, 16, 23032, 3555, 3615, 995, 13672, 1829, 31439, 5551, 12610, 11331, 3215, 5296, 15042, 20449, 2407, 11242, 4724, 426, 6055, 3794, 995, 45865, 36764, 24401, 13672, 1829, 39896, 36764, 24401], "avg_logprob": -0.30039413823737754, "compression_ratio": 1.5905511811023623, 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Series في ذلك الان 2 و 51 من 100 عبارة عن 2 زي 51 على 100 لأن 51 هذا مقرر ال 51 التانية اللي 51 عمية تربية ال 51 التالتة هي 51 عمية تكعيب إلى اخرى إلى ملن يعني", "tokens": [6027, 7649, 9122, 33911, 47525, 8315, 8717, 14851, 9778, 40448, 2423, 39184, 2876, 29470, 13934, 8978, 6055, 5016, 2407, 26895, 23758, 34892, 4587, 2304, 32748, 13063, 1829, 30731, 9122, 3794, 2288, 1975, 3615, 31371, 18513, 1829, 22807, 6024, 48506, 47525, 8315, 8717, 14851, 9778, 40448, 2423, 39184, 2876, 29470, 13934, 8978, 29910, 23275, 2423, 7649, 568, 4032, 18485, 9154, 2319, 6225, 3555, 9640, 3660, 18871, 568, 30767, 1829, 18485, 15844, 2319, 5296, 33456, 18485, 23758, 3714, 4587, 2288, 2288, 2423, 18485, 16712, 7649, 10632, 13672, 1829, 18485, 6225, 2304, 10632, 6055, 25513, 10632, 2423, 18485, 16712, 6027, 2655, 3660, 39896, 18485, 6225, 2304, 10632, 6055, 4117, 3615, 1829, 3555, 30731, 1975, 34740, 7578, 30731, 3714, 1211, 1863, 37495, 22653], "avg_logprob": -0.28072916840513545, "compression_ratio": 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100", "probability": 0.93115234375}, {"start": 1092.54, "end": 1093.28, "word": " لأن", "probability": 0.65966796875}, {"start": 1093.28, "end": 1093.72, "word": " 51", "probability": 0.93310546875}, {"start": 1093.72, "end": 1094.02, "word": " هذا", "probability": 0.256591796875}, {"start": 1094.02, "end": 1094.52, "word": " مقرر", "probability": 0.8741455078125}, {"start": 1094.52, "end": 1094.72, "word": " ال", "probability": 0.2802734375}, {"start": 1094.72, "end": 1095.16, "word": " 51", "probability": 0.91064453125}, {"start": 1095.16, "end": 1095.76, "word": " التانية", "probability": 0.8639322916666666}, {"start": 1095.76, "end": 1095.9, "word": " اللي", "probability": 0.445556640625}, {"start": 1095.9, "end": 1096.42, "word": " 51", "probability": 0.81982421875}, {"start": 1096.42, "end": 1096.74, "word": " عمية", "probability": 0.7010091145833334}, {"start": 1096.74, "end": 1097.22, "word": " تربية", "probability": 0.8142903645833334}, {"start": 1097.22, "end": 1097.66, "word": " ال", "probability": 0.658203125}, {"start": 1097.66, "end": 1098.04, "word": " 51", "probability": 0.9560546875}, {"start": 1098.04, "end": 1098.88, "word": " التالتة", "probability": 0.91943359375}, {"start": 1098.88, "end": 1099.26, "word": " هي", "probability": 0.6337890625}, {"start": 1099.26, "end": 1099.8, "word": " 51", "probability": 0.97265625}, {"start": 1099.8, "end": 1100.08, "word": " عمية", "probability": 0.9864908854166666}, {"start": 1100.08, "end": 1100.48, "word": " تكعيب", "probability": 0.782275390625}, {"start": 1100.48, "end": 1100.66, "word": " إلى", "probability": 0.7314453125}, {"start": 1100.66, "end": 1101.08, "word": " اخرى", "probability": 0.6720377604166666}, {"start": 1101.08, "end": 1101.3, "word": " إلى", "probability": 0.5908203125}, {"start": 1101.3, "end": 1101.64, "word": " ملن", "probability": 0.6446126302083334}, {"start": 1101.64, "end": 1101.88, "word": " يعني", "probability": 0.810791015625}], "temperature": 1.0}, {"id": 49, "seek": 112820, "start": 1102.44, "end": 1128.2, "text": "الانهاد من 51 عمية الى اخرى هي جيومتريك سيريز لو كنا نحصل اش هي ال a هي 51 عمية لانها مقررة في كل الفدور يعني لو أخدناها برا عام المشترك بيظل هنا واحد زي واحد عمية زي واحد عمية تربيع الى اخرين الانهاد ال series هي عبارة عن جيومتريك سيريز ال a تساوي واحد هو اول حد بما انه طلعنا هذه عام المشترك مرة او بنعتبر هذه هي ال a عادي", "tokens": [6027, 7649, 11296, 3215, 9154, 18485, 6225, 2304, 10632, 2423, 7578, 1975, 34740, 7578, 39896, 10874, 1829, 20498, 2655, 16572, 4117, 8608, 13546, 1829, 11622, 45164, 9122, 8315, 8717, 5016, 36520, 1975, 8592, 39896, 2423, 257, 39896, 18485, 6225, 2304, 10632, 5296, 7649, 11296, 3714, 4587, 2288, 25720, 8978, 28242, 27188, 3215, 13063, 37495, 22653, 45164, 5551, 9778, 3215, 8315, 11296, 4724, 23557, 6225, 10943, 9673, 8592, 2655, 31747, 4724, 1829, 19913, 1211, 34105, 36764, 24401, 30767, 1829, 36764, 24401, 6225, 2304, 10632, 30767, 1829, 36764, 24401, 6225, 2304, 10632, 6055, 2288, 21292, 3615, 2423, 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ال summation ل 1 على n في n زا إزا 1 ملاحظة على إن المقام هذا هو الحد و الحد اللي بعده الحد هذا و هذا الحد إيش اللي بعده", "tokens": [6027, 3794, 48923, 11778, 3224, 8717, 38251, 1829, 11296, 37085, 278, 2638, 5296, 33456, 37085, 278, 2638, 6055, 3555, 34268, 8315, 12602, 39319, 8717, 47283, 3215, 11296, 9154, 16490, 1211, 6027, 16247, 2304, 12984, 37977, 5296, 28814, 1863, 19446, 41185, 8592, 20328, 1829, 25720, 3714, 24401, 41891, 30767, 1829, 2423, 33246, 2638, 44381, 11296, 11933, 1211, 11296, 20328, 5172, 3660, 20449, 9957, 3660, 31767, 5172, 3660, 29538, 12602, 39319, 8717, 2655, 3615, 28480, 25894, 11296, 9154, 16490, 1211, 6027, 16247, 2304, 12984, 37977, 2423, 28811, 5296, 502, 15844, 297, 8978, 297, 30767, 995, 11933, 11622, 995, 502, 3714, 15040, 5016, 19913, 3660, 15844, 36145, 9673, 4587, 10943, 23758, 31439, 21542, 3215, 4032, 21542, 3215, 13672, 1829, 39182, 3224, 21542, 3215, 23758, 4032, 23758, 21542, 3215, 11933, 1829, 8592, 13672, 1829, 39182, 3224], "avg_logprob": 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وبعضها", "probability": 0.6520751953125}, {"start": 1520.89, "end": 1521.59, "word": " لا،", "probability": 0.65283203125}, {"start": 1521.59, "end": 1522.13, "word": " يعني", "probability": 0.946044921875}], "temperature": 1.0}, {"id": 67, "seek": 153269, "start": 1522.53, "end": 1532.69, "text": "إذا كان limit الان يساوي سفر فهذا لا يؤدي إن ال series converge ممكن تكون converge وممكن تكون diverge", "tokens": [28814, 15730, 25961, 4948, 2423, 7649, 7251, 3794, 995, 45865, 8608, 5172, 2288, 6156, 3224, 15730, 20193, 7251, 33604, 16254, 36145, 2423, 2638, 41881, 3714, 43020, 6055, 30544, 41881, 4032, 2304, 43020, 6055, 30544, 3414, 260, 432], "avg_logprob": -0.40727794719369786, "compression_ratio": 1.3888888888888888, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1522.53, "end": 1523.23, "word": "إذا", "probability": 0.6973876953125}, {"start": 1523.23, "end": 1523.71, "word": " كان", "probability": 0.97802734375}, {"start": 1523.71, "end": 1524.53, "word": " limit", 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does not exist وبالتالي ال serious diverse", "tokens": [5172, 3555, 1863, 47283, 3215, 9673, 3615, 10943, 1211, 9307, 4948, 39896, 7251, 3794, 995, 45865, 36764, 24401, 4724, 43042, 3224, 2423, 14407, 24401, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 7251, 3555, 4587, 7578, 2423, 4948, 20193, 7251, 3794, 995, 45865, 8608, 5172, 2288, 11933, 15730, 2423, 3156, 11778, 3224, 37495, 22653, 9521, 2423, 28811, 8717, 995, 4587, 9381, 36764, 24401, 5551, 3794, 11933, 1863, 30767, 16373, 3215, 36764, 24401, 4724, 43042, 3224, 8032, 16254, 9521, 32239, 8592, 22807, 5296, 28814, 1863, 2423, 4948, 5296, 8315, 4587, 9381, 36764, 24401, 5551, 3794, 36145, 30767, 16373, 3215, 36764, 24401, 35186, 36764, 24401, 35186, 8608, 6027, 3555, 36764, 24401, 5296, 28814, 1863, 8978, 9673, 6027, 3660, 8717, 3224, 995, 10632, 35186, 8717, 995, 4587, 9381, 36764, 24401, 39894, 3555, 4587, 7578, 6225, 3215, 3215, 30767, 29245, 1829, 34051, 6225, 3215, 3215, 6156, 2288, 16254, 46599, 6027, 2655, 6027, 1829, 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"probability": 0.9599609375}, {"start": 2163.63, "end": 2164.15, "word": " convert", "probability": 0.83203125}, {"start": 2164.15, "end": 2164.75, "word": " وضفت", "probability": 0.94580078125}, {"start": 2164.75, "end": 2165.11, "word": " عدد", "probability": 0.98046875}, {"start": 2165.11, "end": 2165.55, "word": " محدود", "probability": 0.9876302083333334}, {"start": 2165.55, "end": 2165.73, "word": " من", "probability": 0.98046875}, {"start": 2165.73, "end": 2165.87, "word": " ال", "probability": 0.9248046875}, {"start": 2165.87, "end": 2166.15, "word": " terms", "probability": 0.44384765625}, {"start": 2166.15, "end": 2166.95, "word": " بتظلها", "probability": 0.884521484375}, {"start": 2166.95, "end": 2167.05, "word": " ال", "probability": 0.91455078125}, {"start": 2167.05, "end": 2167.31, "word": " series", "probability": 0.9521484375}, {"start": 2167.31, "end": 2167.63, "word": " هذه", "probability": 0.65283203125}, {"start": 2167.63, "end": 2168.09, "word": " convert", 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