{"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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الان", "probability": 0.8125}, {"start": 1514.37, "end": 1514.59, "word": " اللي", "probability": 0.73974609375}, {"start": 1514.59, "end": 1515.07, "word": " هيساوي", "probability": 0.820068359375}, {"start": 1515.07, "end": 1515.79, "word": " سفر،", "probability": 0.90576171875}, {"start": 1515.79, "end": 1516.05, "word": " لكن", "probability": 0.97021484375}, {"start": 1516.05, "end": 1517.49, "word": " ال", "probability": 0.9609375}, {"start": 1517.49, "end": 1518.11, "word": " divergence", "probability": 0.92822265625}, {"start": 1518.11, "end": 1518.75, "word": " series", "probability": 0.90576171875}, {"start": 1518.75, "end": 1519.51, "word": " بعضها", "probability": 0.927734375}, {"start": 1519.51, "end": 1519.77, "word": " limit", "probability": 0.9560546875}, {"start": 1519.77, "end": 1520.15, "word": " هيساوي", "probability": 0.93603515625}, {"start": 1520.15, "end": 1520.39, "word": " سفر", "probability": 0.9910481770833334}, {"start": 1520.39, "end": 1520.89, "word": " 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converge لإن ال summation موجود و يساوي a و ال a عدد حقيقي and summation لل bn يساوي d يعني برضه ال series تبعت ل bn برضه converge are convergence even then", "tokens": [41185, 8186, 44381, 4724, 17082, 11242, 28239, 19913, 2288, 18871, 2423, 8186, 9673, 16095, 8032, 7578, 13785, 2638, 23032, 3555, 3615, 995, 2423, 257, 16472, 1975, 15730, 25961, 2655, 28811, 15844, 257, 7251, 3794, 995, 45865, 257, 37495, 22653, 2423, 2638, 8032, 7578, 6055, 3555, 34268, 41881, 5296, 28814, 1863, 2423, 28811, 3714, 29245, 23328, 4032, 7251, 3794, 995, 45865, 257, 4032, 2423, 257, 6225, 3215, 3215, 11331, 38436, 38436, 293, 28811, 24976, 272, 77, 7251, 3794, 995, 45865, 274, 37495, 22653, 4724, 43042, 3224, 2423, 2638, 6055, 3555, 34268, 5296, 272, 77, 4724, 43042, 3224, 41881, 366, 32181, 754, 550], "avg_logprob": -0.33088235761605056, "compression_ratio": 1.8211009174311927, "no_speech_prob": 5.173683166503906e-05, "words": [{"start": 1689.2, "end": 1689.74, "word": "في", "probability": 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"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", "probability": 0.8369140625}], "temperature": 1.0}, {"id": 96, "seek": 218196, "start": 2169.46, "end": 2181.96, "text": "عدد محدود من ال terms أو طرح عدد محدود من ال terms من ال series لا يؤثر على ال convergence لل series إذا كانت converge بتظلها converge وإذا كانت diverge بتظلها diverge", "tokens": [22488, 3215, 3714, 24401, 23328, 9154, 2423, 2115, 34051, 23032, 2288, 5016, 6225, 3215, 3215, 3714, 24401, 23328, 9154, 2423, 2115, 9154, 2423, 2638, 20193, 7251, 33604, 49115, 15844, 2423, 32181, 24976, 2638, 11933, 15730, 25961, 2655, 41881, 39894, 19913, 1211, 11296, 41881, 4032, 28814, 15730, 25961, 2655, 18558, 432, 39894, 19913, 1211, 11296, 18558, 432], "avg_logprob": -0.14802632206364683, "compression_ratio": 1.8045112781954886, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2169.46, "end": 2169.98, "word": "عدد", "probability": 0.764892578125}, {"start": 2169.98, "end": 2170.38, "word": " محدود", "probability": 0.9635416666666666}, {"start": 2170.38, "end": 2170.52, "word": " من", "probability": 0.99169921875}, {"start": 2170.52, "end": 2170.68, 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