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absolutely convergent if the corresponding series of absolute value لصممش للabsolute value للان converges", "tokens": [41185, 8717, 45367, 9957, 11933, 1211, 11296, 11933, 15042, 8236, 34051, 27708, 7251, 3555, 4587, 7578, 2423, 41881, 6055, 3555, 34268, 8315, 11933, 15042, 39894, 30544, 8236, 34051, 27708, 14298, 23032, 3555, 9122, 33911, 47525, 8315, 8717, 8592, 38688, 11296, 8717, 45367, 2423, 32181, 6055, 3555, 3615, 11296, 8032, 1211, 31439, 8236, 49429, 27708, 47525, 8315, 8717, 2655, 3555, 3615, 2423, 47283, 2655, 3555, 9640, 16712, 6027, 1829, 44945, 38251, 1829, 2423, 2638, 6055, 3555, 34268, 8315, 5296, 9381, 2304, 2304, 8592, 24976, 7649, 41881, 3122, 34051, 3122, 9652, 6930, 498, 264, 11760, 2638, 295, 8236, 2158, 5296, 9381, 2304, 2304, 8592, 24976, 17243, 401, 1169, 2158, 24976, 7649, 9652, 2880], "avg_logprob": -0.26548548974096775, "compression_ratio": 2.0617283950617282, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 325.84, "end": 326.06, "word": "في", 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شروط إذا كانت تحقق التلات شروط بتكون ال series converge conditionally لا يؤدي إذا كان ال series converge لا يؤدي إن ال series diverge إذا كانت ال absolute value diverge لا يؤدي إن ال series diverge إذا كانت ال series converge يؤدي إنها converge absolutely إذا كانت ال series diverge بروححقق التلات شروط وإذا تحقق التلات شروط بتكون converge conditionally", "tokens": [3555, 5016, 4587, 4587, 16712, 1211, 9307, 13412, 32887, 9566, 11933, 15730, 25961, 2655, 6055, 5016, 4587, 4587, 16712, 1211, 9307, 13412, 32887, 9566, 39894, 30544, 2423, 2638, 41881, 4188, 379, 20193, 7251, 33604, 16254, 11933, 15730, 25961, 2423, 2638, 41881, 20193, 7251, 33604, 16254, 36145, 2423, 2638, 18558, 432, 11933, 15730, 25961, 2655, 2423, 8236, 2158, 18558, 432, 20193, 7251, 33604, 16254, 36145, 2423, 2638, 18558, 432, 11933, 15730, 25961, 2655, 2423, 2638, 41881, 7251, 33604, 16254, 36145, 11296, 41881, 3122, 11933, 15730, 25961, 2655, 2423, 2638, 18558, 432, 4724, 32887, 5016, 5016, 4587, 4587, 16712, 1211, 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واحد في واحد على N لأن لو شيلنا هذه بيظل ال summation واحد على N هي ال harmonic series اللي احنا بنعرفها لكن لو ضفنا عليها الموجب والسالب بنسميها ال alternating harmonic series اللي هي واحد ناقص نص زائد تلت ناقص ربع إلى أقل", "tokens": [1863, 8592, 38688, 16247, 2304, 12984, 37977, 2423, 39184, 23830, 990, 40599, 299, 13934, 8717, 995, 4587, 9381, 36764, 24401, 5551, 10859, 3794, 426, 30767, 16373, 3215, 36764, 24401, 8978, 36764, 24401, 15844, 426, 5296, 33456, 45164, 13412, 26895, 8315, 29538, 4724, 1829, 19913, 1211, 2423, 28811, 36764, 24401, 15844, 426, 39896, 2423, 32270, 2638, 13672, 1829, 1975, 5016, 8315, 44945, 3615, 28480, 11296, 44381, 45164, 48812, 5172, 8315, 25894, 11296, 9673, 29245, 3555, 16070, 3794, 6027, 3555, 44945, 38251, 1829, 11296, 2423, 40062, 32270, 2638, 13672, 1829, 39896, 36764, 24401, 8717, 995, 4587, 9381, 8717, 9381, 30767, 16373, 3215, 6055, 1211, 2655, 8717, 995, 4587, 9381, 12602, 3555, 3615, 30731, 5551, 4587, 1211], "avg_logprob": 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