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+{"segments": [{"id": 1, "seek": 4749, "start": 21.41, "end": 47.49, "text": "السلام عليكم اليوم في اللقاء الأول هناخد مناقشة و اعتقد ان احنا في المناقشة السابقة وصلنا ل section تلاتة خمسة، أصبع؟ فممكن اليوم", "tokens": [6027, 3794, 37440, 25894, 24793, 45595, 20498, 8978, 13672, 4587, 16606, 16247, 12610, 8032, 1863, 47283, 3215, 3714, 8315, 4587, 8592, 3660, 4032, 1975, 34268, 28543, 16472, 1975, 5016, 8315, 8978, 9673, 8315, 4587, 8592, 3660, 21136, 16758, 28671, 4032, 36520, 8315, 5296, 3541, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 12399, 5551, 9381, 3555, 3615, 22807, 6156, 2304, 43020, 45595, 20498], "avg_logprob": -0.16979980235919356, "compression_ratio": 1.5165562913907285, "no_speech_prob": 0.0, "words": [{"start": 21.41, "end": 22.01, "word": "السلام", "probability": 0.8857421875}, {"start": 22.01, "end": 22.69, "word": " عليكم", "probability": 0.947265625}, {"start": 22.69, "end": 23.63, "word": " اليوم", "probability": 0.83642578125}, {"start": 23.63, "end": 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"word": " let", "probability": 0.55859375}, {"start": 110.58, "end": 110.82, "word": " the", "probability": 0.264892578125}, {"start": 110.82, "end": 111.3, "word": " sequence", "probability": 0.978515625}, {"start": 111.3, "end": 111.56, "word": " x", "probability": 0.94775390625}, {"start": 111.56, "end": 111.96, "word": " in", "probability": 0.88427734375}, {"start": 111.96, "end": 112.26, "word": " be", "probability": 0.35791015625}, {"start": 112.26, "end": 114.68, "word": " properly", "probability": 0.8203125}, {"start": 114.68, "end": 118.02, "word": " die", "probability": 0.11260986328125}, {"start": 118.02, "end": 118.36, "word": " there", "probability": 0.82666015625}, {"start": 118.36, "end": 119.74, "word": " and", "probability": 0.6630859375}, {"start": 119.74, "end": 125.92, "word": " let", "probability": 0.96875}, {"start": 125.92, "end": 128.7, "word": " and", "probability": 0.7685546875}, {"start": 128.7, "end": 129.2, "word": " let", "probability": 0.970703125}, {"start": 129.2, "end": 131.9, "word": " y", "probability": 0.93359375}, {"start": 131.9, "end": 132.42, "word": " in", "probability": 0.962890625}], "temperature": 1.0}, {"id": 5, "seek": 16180, "start": 134.78, "end": 161.8, "text": "ب such that limit x in ضرب y in limit حصل ضرب لما n تقول لinfinity الساوي L ينتمي إلى R يعني exists in R شو مطلوب", "tokens": [3555, 1270, 300, 4948, 2031, 294, 48812, 25513, 288, 294, 4948, 11331, 36520, 48812, 25513, 5296, 15042, 297, 6055, 4587, 2407, 1211, 5296, 259, 5194, 507, 21136, 995, 45865, 441, 7251, 29399, 2304, 1829, 30731, 497, 37495, 22653, 8198, 294, 497, 13412, 2407, 3714, 9566, 1211, 37746], "avg_logprob": -0.5292968812088171, "compression_ratio": 1.1818181818181819, "no_speech_prob": 0.0, "words": [{"start": 134.78, "end": 135.78, "word": "ب", "probability": 0.1190185546875}, {"start": 135.78, "end": 136.78, "word": " such", "probability": 0.1473388671875}, {"start": 136.78, "end": 137.78, "word": " that", "probability": 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" لinfinity", "probability": 0.5810546875}, {"start": 147.7, "end": 151.98, "word": " الساوي", "probability": 0.684326171875}, {"start": 151.98, "end": 152.7, "word": " L", "probability": 0.206298828125}, {"start": 152.7, "end": 154.88, "word": " ينتمي", "probability": 0.85693359375}, {"start": 154.88, "end": 155.2, "word": " إلى", "probability": 0.2056884765625}, {"start": 155.2, "end": 155.46, "word": " R", "probability": 0.64892578125}, {"start": 155.46, "end": 155.68, "word": " يعني", "probability": 0.775146484375}, {"start": 155.68, "end": 156.2, "word": " exists", "probability": 0.5595703125}, {"start": 156.2, "end": 156.48, "word": " in", "probability": 0.6513671875}, {"start": 156.48, "end": 156.9, "word": " R", "probability": 0.96923828125}, {"start": 156.9, "end": 160.62, "word": " شو", "probability": 0.616455078125}, {"start": 160.62, "end": 161.8, "word": " مطلوب", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 6, "seek": 19187, "start": 162.93, "end": 191.87, "text": "ثم اثبت اظهر ان سيكوينس ين يتعامل بالزيرو حل السؤال هذا بعتمد", "tokens": [12984, 2304, 1975, 12984, 3555, 2655, 1975, 19913, 3224, 2288, 16472, 8608, 1829, 4117, 2407, 9957, 3794, 7251, 1863, 7251, 2655, 3615, 10943, 1211, 20666, 11622, 1829, 32887, 11331, 1211, 21136, 33604, 6027, 23758, 4724, 34268, 2304, 3215], "avg_logprob": -0.6722756318556957, "compression_ratio": 1.2758620689655173, "no_speech_prob": 0.0, "words": [{"start": 162.93, "end": 163.23, "word": "ثم", "probability": 0.376953125}, {"start": 163.23, "end": 163.63, "word": " اثبت", "probability": 0.633636474609375}, {"start": 163.63, "end": 165.29, "word": " اظهر", "probability": 0.612091064453125}, {"start": 165.29, "end": 166.51, "word": " ان", "probability": 0.69677734375}, {"start": 166.51, "end": 168.29, "word": " سيكوينس", "probability": 0.6178690592447916}, {"start": 168.29, "end": 170.03, "word": " ين", "probability": 0.31781005859375}, {"start": 170.03, "end": 174.41, "word": " يتعامل", "probability": 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"probability": 0.269775390625}, {"start": 212.43, "end": 214.09, "word": " x", "probability": 0.6142578125}, {"start": 214.09, "end": 214.57, "word": " n", "probability": 0.55859375}, {"start": 214.57, "end": 215.23, "word": " أكبر", "probability": 0.8523763020833334}, {"start": 215.23, "end": 215.47, "word": " من", "probability": 0.978515625}, {"start": 215.47, "end": 216.09, "word": " سفر", "probability": 0.7980143229166666}, {"start": 216.09, "end": 217.87, "word": " لكل", "probability": 0.97021484375}, {"start": 217.87, "end": 218.35, "word": " n", "probability": 0.736328125}, {"start": 218.35, "end": 220.19, "word": " عدد", "probability": 0.9072265625}, {"start": 220.19, "end": 220.95, "word": " طبيعي", "probability": 0.9246826171875}], "temperature": 1.0}, {"id": 8, "seek": 25035, "start": 222.63, "end": 250.35, "text": "و ال then limit xn بساوي zero if and only if limit واحد على xn as n tends to infinity بساوي plus infinity", "tokens": [2407, 2423, 550, 4948, 2031, 77, 4724, 3794, 995, 45865, 4018, 498, 293, 787, 498, 4948, 36764, 24401, 15844, 2031, 77, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 45865, 1804, 13202], "avg_logprob": -0.3169981060606061, "compression_ratio": 1.2019230769230769, "no_speech_prob": 0.0, "words": [{"start": 222.63, "end": 223.21, "word": "و", "probability": 0.4990234375}, {"start": 223.21, "end": 224.15, "word": " ال", "probability": 0.1884765625}, {"start": 224.15, "end": 230.31, "word": " then", "probability": 0.28662109375}, {"start": 230.31, "end": 231.91, "word": " limit", "probability": 0.9658203125}, {"start": 231.91, "end": 234.23, "word": " xn", "probability": 0.5853271484375}, {"start": 234.23, "end": 236.15, "word": " بساوي", "probability": 0.68658447265625}, {"start": 236.15, "end": 236.83, "word": " zero", "probability": 0.295654296875}, {"start": 236.83, "end": 237.45, "word": " if", "probability": 0.82080078125}, {"start": 237.45, "end": 238.83, "word": " and", "probability": 0.93505859375}, {"start": 238.83, "end": 239.17, "word": " only", "probability": 0.84765625}, {"start": 239.17, "end": 239.65, "word": " if", "probability": 0.97998046875}, {"start": 239.65, "end": 241.99, "word": " limit", "probability": 0.97802734375}, {"start": 241.99, "end": 243.77, "word": " واحد", "probability": 0.875244140625}, {"start": 243.77, "end": 243.99, "word": " على", "probability": 0.5302734375}, {"start": 243.99, "end": 245.03, "word": " xn", "probability": 0.84814453125}, {"start": 245.03, "end": 245.75, "word": " as", "probability": 0.78173828125}, {"start": 245.75, "end": 246.19, "word": " n", "probability": 0.5478515625}, {"start": 246.19, "end": 246.51, "word": " tends", "probability": 0.509765625}, {"start": 246.51, "end": 246.67, "word": " to", "probability": 0.88330078125}, {"start": 246.67, "end": 247.27, "word": " infinity", "probability": 0.89013671875}, {"start": 247.27, "end": 249.17, "word": " بساوي", "probability": 0.968017578125}, {"start": 249.17, "end": 249.75, "word": " plus", "probability": 0.9384765625}, {"start": 249.75, "end": 250.35, "word": " infinity", "probability": 0.88671875}], "temperature": 1.0}, {"id": 9, "seek": 28219, "start": 260.79, "end": 282.19, "text": "Okay لأن في سؤال طلعتها إذا كانت xn حدود sequence حدودها موجة بقى و ف limit ال sequence xn بساوي سفر if and only if limit مقلوب ال sequence xn بساوي plus infinity", "tokens": [8297, 5296, 33456, 8978, 8608, 33604, 6027, 23032, 1211, 34268, 11296, 11933, 15730, 25961, 2655, 2031, 77, 11331, 3215, 23328, 8310, 11331, 3215, 23328, 11296, 3714, 29245, 3660, 4724, 4587, 7578, 4032, 6156, 4948, 2423, 8310, 2031, 77, 4724, 3794, 995, 45865, 8608, 5172, 2288, 498, 293, 787, 498, 4948, 3714, 4587, 1211, 37746, 2423, 8310, 2031, 77, 4724, 3794, 995, 45865, 1804, 13202], "avg_logprob": -0.20264423076923077, "compression_ratio": 1.4516129032258065, "no_speech_prob": 0.0, "words": [{"start": 260.78999999999996, "end": 261.83, "word": "Okay", "probability": 0.08160400390625}, {"start": 261.83, "end": 262.87, "word": " لأن", "probability": 0.523193359375}, {"start": 262.87, "end": 264.45, "word": " في", "probability": 0.8837890625}, {"start": 264.45, "end": 264.81, "word": " سؤال", "probability": 0.9925130208333334}, {"start": 264.81, "end": 265.47, "word": " طلعتها", "probability": 0.77435302734375}, {"start": 265.47, "end": 265.69, "word": " إذا", "probability": 0.875}, {"start": 265.69, "end": 266.05, "word": " كانت", "probability": 0.92529296875}, {"start": 266.05, "end": 266.55, "word": " xn", "probability": 0.3482666015625}, {"start": 266.55, "end": 266.99, "word": " حدود", "probability": 0.9791666666666666}, {"start": 266.99, "end": 267.67, "word": " sequence", "probability": 0.38232421875}, {"start": 267.67, "end": 269.21, "word": " حدودها", "probability": 0.970947265625}, {"start": 269.21, "end": 269.63, "word": " موجة", "probability": 0.9737955729166666}, {"start": 269.63, "end": 270.19, "word": " بقى", "probability": 0.9866536458333334}, {"start": 270.19, "end": 271.77, "word": " و", "probability": 0.6015625}, {"start": 271.77, "end": 272.83, "word": " ف", "probability": 0.826171875}, {"start": 272.83, "end": 273.35, "word": " limit", "probability": 0.9296875}, {"start": 273.35, "end": 273.65, "word": " ال", "probability": 0.4072265625}, {"start": 273.65, "end": 274.09, "word": " sequence", "probability": 0.990234375}, {"start": 274.09, "end": 274.83, "word": " xn", "probability": 0.94140625}, {"start": 274.83, "end": 275.65, "word": " بساوي", "probability": 0.81396484375}, {"start": 275.65, "end": 276.29, "word": " سفر", "probability": 0.8836263020833334}, {"start": 276.29, "end": 277.15, "word": " if", "probability": 0.875}, {"start": 277.15, "end": 277.43, "word": " and", "probability": 0.9306640625}, {"start": 277.43, "end": 277.73, "word": " only", "probability": 0.91552734375}, {"start": 277.73, "end": 278.09, "word": " if", "probability": 0.9794921875}, {"start": 278.09, "end": 278.95, "word": " limit", "probability": 0.9580078125}, {"start": 278.95, "end": 279.55, "word": " مقلوب", "probability": 0.9544677734375}, {"start": 279.55, "end": 279.71, "word": " ال", "probability": 0.8505859375}, {"start": 279.71, "end": 280.11, "word": " sequence", "probability": 0.990234375}, {"start": 280.11, "end": 280.75, "word": " xn", "probability": 0.970703125}, {"start": 280.75, "end": 281.35, "word": " بساوي", "probability": 0.9539794921875}, {"start": 281.35, "end": 281.73, "word": " plus", "probability": 0.9345703125}, {"start": 281.73, "end": 282.19, "word": " infinity", "probability": 0.7666015625}], "temperature": 1.0}, {"id": 10, "seek": 30397, "start": 286.23, "end": 303.97, "text": "و طبعا في كمان ممكن نثبت ان لو كانت ال Xn حدودها سالبة ف limit Xn بساوي صفر F and only F limit واحد على Xn بساوي negative infinity", "tokens": [2407, 23032, 3555, 3615, 995, 8978, 9122, 2304, 7649, 3714, 43020, 8717, 12984, 3555, 2655, 16472, 45164, 25961, 2655, 2423, 1783, 77, 11331, 3215, 23328, 11296, 8608, 6027, 49401, 6156, 4948, 1783, 77, 4724, 3794, 995, 45865, 20328, 5172, 2288, 479, 293, 787, 479, 4948, 36764, 24401, 15844, 1783, 77, 4724, 3794, 995, 45865, 3671, 13202], "avg_logprob": -0.2554824477747867, "compression_ratio": 1.3450704225352113, "no_speech_prob": 0.0, "words": [{"start": 286.23, "end": 286.51, "word": "و", "probability": 0.53564453125}, {"start": 286.51, "end": 286.93, "word": " طبعا", "probability": 0.857666015625}, {"start": 286.93, "end": 287.17, "word": " في", "probability": 0.638671875}, {"start": 287.17, "end": 288.43, "word": " كمان", "probability": 0.8810221354166666}, {"start": 288.43, "end": 288.79, "word": " ممكن", "probability": 0.95263671875}, {"start": 288.79, "end": 289.41, "word": " نثبت", "probability": 0.99169921875}, {"start": 289.41, "end": 289.59, "word": " ان", "probability": 0.54638671875}, {"start": 289.59, "end": 289.81, "word": " لو", "probability": 0.9248046875}, {"start": 289.81, "end": 290.95, "word": " كانت", "probability": 0.96484375}, {"start": 290.95, "end": 291.23, "word": " ال", "probability": 0.8505859375}, {"start": 291.23, "end": 291.89, "word": " Xn", "probability": 0.34814453125}, {"start": 291.89, "end": 292.69, "word": " حدودها", "probability": 0.9915771484375}, {"start": 292.69, "end": 293.33, "word": " سالبة", "probability": 0.89599609375}, {"start": 293.33, "end": 294.31, "word": " ف", "probability": 0.779296875}, {"start": 294.31, "end": 297.23, "word": " limit", "probability": 0.83203125}, {"start": 297.23, "end": 297.77, "word": " Xn", "probability": 0.845458984375}, {"start": 297.77, "end": 298.27, "word": " بساوي", "probability": 0.69769287109375}, {"start": 298.27, "end": 298.71, "word": " صفر", "probability": 0.7724609375}, {"start": 298.71, "end": 298.93, "word": " F", "probability": 0.53466796875}, {"start": 298.93, "end": 299.17, "word": " and", "probability": 0.69873046875}, {"start": 299.17, "end": 299.41, "word": " only", "probability": 0.8193359375}, {"start": 299.41, "end": 299.75, "word": " F", "probability": 0.712890625}, {"start": 299.75, "end": 300.47, "word": " limit", "probability": 0.763671875}, {"start": 300.47, "end": 300.95, "word": " واحد", "probability": 0.7227783203125}, {"start": 300.95, "end": 301.11, "word": " على", "probability": 0.70654296875}, {"start": 301.11, "end": 301.57, "word": " Xn", "probability": 0.963623046875}, {"start": 301.57, "end": 302.21, "word": " بساوي", "probability": 0.9517822265625}, {"start": 302.21, "end": 302.65, "word": " negative", "probability": 0.90087890625}, {"start": 302.65, "end": 303.97, "word": " infinity", "probability": 0.299560546875}], "temperature": 1.0}, {"id": 11, "seek": 34018, "start": 315.22, "end": 340.18, "text": "بما أن xn هو بشكل صحيح ديبيرزينت ثم قيمة xn بساوي إفينتي أو قيمة xn بساوي نيجاتيف إفينتي", "tokens": [3555, 15042, 14739, 2031, 77, 31439, 4724, 8592, 28820, 20328, 5016, 1829, 5016, 11778, 1829, 3555, 13546, 11622, 9957, 2655, 38637, 2304, 12174, 32640, 3660, 2031, 77, 4724, 3794, 995, 45865, 11933, 5172, 9957, 31371, 34051, 12174, 32640, 3660, 2031, 77, 4724, 3794, 995, 45865, 8717, 1829, 7435, 9307, 33911, 11933, 5172, 9957, 31371], "avg_logprob": -0.566761337627064, "compression_ratio": 1.4854368932038835, "no_speech_prob": 0.0, "words": [{"start": 315.22, "end": 315.96, "word": "بما", "probability": 0.411376953125}, {"start": 315.96, "end": 316.0, "word": " أن", "probability": 0.67822265625}, {"start": 316.0, "end": 318.36, "word": " xn", "probability": 0.435791015625}, {"start": 318.36, "end": 319.8, "word": " هو", "probability": 0.304443359375}, {"start": 319.8, "end": 320.48, "word": " بشكل", "probability": 0.5055135091145834}, {"start": 320.48, "end": 321.46, "word": " صحيح", "probability": 0.8748779296875}, {"start": 321.46, "end": 324.48, "word": " ديبيرزينت", "probability": 0.4816981724330357}, {"start": 324.48, "end": 327.1, "word": " ثم", "probability": 0.56439208984375}, {"start": 327.1, "end": 329.34, "word": " قيمة", "probability": 0.4974772135416667}, {"start": 329.34, "end": 331.5, "word": " xn", "probability": 0.9013671875}, {"start": 331.5, "end": 332.4, "word": " بساوي", "probability": 0.5351409912109375}, {"start": 332.4, "end": 333.48, "word": " إفينتي", "probability": 0.276153564453125}, {"start": 333.48, "end": 334.8, "word": " أو", "probability": 0.7724609375}, {"start": 334.8, "end": 336.4, "word": " قيمة", "probability": 0.97705078125}, {"start": 336.4, "end": 337.98, "word": " xn", "probability": 0.928955078125}, {"start": 337.98, "end": 338.96, "word": " بساوي", "probability": 0.955078125}, {"start": 338.96, "end": 339.58, "word": " نيجاتيف", "probability": 0.580126953125}, {"start": 339.58, "end": 340.18, "word": " إفينتي", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 12, "seek": 37154, "start": 345.46, "end": 371.54, "text": "case one ناخد الحالة الأولى اللى فيها limit xm بساوي infinity by exercise رقم تلاتة section تلاتة ستة", "tokens": [9765, 472, 8717, 47283, 3215, 21542, 6027, 3660, 16247, 12610, 7578, 13672, 7578, 8978, 11296, 4948, 2031, 76, 4724, 3794, 995, 45865, 13202, 538, 5380, 12602, 4587, 2304, 6055, 1211, 9307, 3660, 3541, 6055, 1211, 9307, 3660, 8608, 2655, 3660], "avg_logprob": -0.25114329849801414, "compression_ratio": 1.2066115702479339, "no_speech_prob": 0.0, "words": [{"start": 345.46, "end": 346.0, "word": "case", "probability": 0.0467529296875}, {"start": 346.0, "end": 346.46, "word": " one", "probability": 0.49365234375}, {"start": 346.46, "end": 346.92, "word": " ناخد", "probability": 0.75390625}, {"start": 346.92, "end": 347.4, "word": " الحالة", "probability": 0.94384765625}, {"start": 347.4, "end": 348.82, "word": " الأولى", "probability": 0.96728515625}, {"start": 348.82, "end": 349.4, "word": " اللى", "probability": 0.833740234375}, {"start": 349.4, "end": 349.76, "word": " فيها", "probability": 0.826171875}, {"start": 349.76, "end": 350.24, "word": " limit", "probability": 0.95556640625}, {"start": 350.24, "end": 352.22, "word": " xm", "probability": 0.508544921875}, {"start": 352.22, "end": 353.66, "word": " بساوي", "probability": 0.684783935546875}, {"start": 353.66, "end": 354.36, "word": " infinity", "probability": 0.67578125}, {"start": 354.36, "end": 359.86, "word": " by", "probability": 0.82763671875}, {"start": 359.86, "end": 363.56, "word": " exercise", "probability": 0.96484375}, {"start": 363.56, "end": 366.06, "word": " رقم", "probability": 0.9259440104166666}, {"start": 366.06, "end": 367.02, "word": " تلاتة", "probability": 0.9378662109375}, {"start": 367.02, "end": 369.94, "word": " section", "probability": 0.7626953125}, {"start": 369.94, "end": 370.78, "word": " تلاتة", "probability": 0.94580078125}, {"start": 370.78, "end": 371.54, "word": " ستة", "probability": 0.9484049479166666}], "temperature": 1.0}, {"id": 13, "seek": 39984, "start": 373.22, "end": 399.84, "text": "والـ exercise اللى فوق هذا معناه انه we have هيطلع انه limit مطلوب ال sequence xn as n tends to infinity بفلع صفر يعني اعتبرى هذه هي xn", "tokens": [2407, 6027, 39184, 5380, 13672, 7578, 6156, 30543, 23758, 20449, 8315, 3224, 16472, 3224, 321, 362, 8032, 1829, 9566, 1211, 3615, 16472, 3224, 4948, 3714, 9566, 1211, 37746, 2423, 8310, 2031, 77, 382, 297, 12258, 281, 13202, 4724, 5172, 1211, 3615, 20328, 5172, 2288, 37495, 22653, 1975, 34268, 26890, 7578, 29538, 39896, 2031, 77], "avg_logprob": -0.4562499859116294, "compression_ratio": 1.2847682119205297, "no_speech_prob": 0.0, "words": [{"start": 373.22, "end": 373.76, "word": "والـ", "probability": 0.3745524088541667}, {"start": 373.76, "end": 374.3, "word": " exercise", "probability": 0.77294921875}, {"start": 374.3, "end": 374.56, "word": " اللى", "probability": 0.7039794921875}, {"start": 374.56, "end": 375.02, "word": " فوق", "probability": 0.963134765625}, {"start": 375.02, "end": 378.1, "word": " هذا", "probability": 0.708984375}, {"start": 378.1, "end": 378.84, "word": " معناه", "probability": 0.9510091145833334}, {"start": 378.84, "end": 380.32, "word": " انه", "probability": 0.701416015625}, {"start": 380.32, "end": 381.0, "word": " we", "probability": 0.35986328125}, {"start": 381.0, "end": 382.16, "word": " have", "probability": 0.95556640625}, {"start": 382.16, "end": 384.3, "word": " هيطلع", "probability": 0.753271484375}, {"start": 384.3, "end": 384.54, "word": " انه", "probability": 0.33642578125}, {"start": 384.54, "end": 384.98, "word": " limit", "probability": 0.368896484375}, {"start": 384.98, "end": 386.96, "word": " مطلوب", "probability": 0.8062744140625}, {"start": 386.96, "end": 387.16, "word": " ال", "probability": 0.4267578125}, {"start": 387.16, "end": 387.72, "word": " sequence", "probability": 0.859375}, {"start": 387.72, "end": 388.6, "word": " xn", "probability": 0.4425048828125}, {"start": 388.6, "end": 390.28, "word": " as", "probability": 0.791015625}, {"start": 390.28, "end": 390.68, "word": " n", "probability": 0.67724609375}, {"start": 390.68, "end": 390.94, "word": " tends", "probability": 0.720703125}, {"start": 390.94, "end": 391.1, "word": " to", "probability": 0.89111328125}, {"start": 391.1, "end": 391.58, "word": " infinity", "probability": 0.92431640625}, {"start": 391.58, "end": 392.06, "word": " بفلع", "probability": 0.438873291015625}, {"start": 392.06, "end": 392.42, "word": " صفر", "probability": 0.7787272135416666}, {"start": 392.42, "end": 398.0, "word": " يعني", "probability": 0.869873046875}, {"start": 398.0, "end": 398.54, "word": " اعتبرى", "probability": 0.77520751953125}, {"start": 398.54, "end": 398.84, "word": " هذه", "probability": 0.6953125}, {"start": 398.84, "end": 399.14, "word": " هي", "probability": 0.80419921875}, {"start": 399.14, "end": 399.84, "word": " xn", "probability": 0.888427734375}], "temperature": 1.0}, {"id": 14, "seek": 42869, "start": 401.05, "end": 428.69, "text": "تعتبر ال 1 على xn هي xn فإذا كان limit xn بساوي infinity فlimit مقلوب ال xn اللي هنا مقلوب اللي هو ايه بتطلع سفر ولا عكس يعني هنا نفس ال exercise بس badly xn بواحد على xn فهذه نتيجة صحية تمام hence", "tokens": [2655, 34268, 26890, 2423, 502, 15844, 2031, 77, 39896, 2031, 77, 6156, 28814, 15730, 25961, 4948, 2031, 77, 4724, 3794, 995, 45865, 13202, 6156, 4197, 270, 3714, 4587, 1211, 37746, 2423, 2031, 77, 13672, 1829, 34105, 3714, 4587, 1211, 37746, 13672, 1829, 31439, 1975, 1829, 3224, 39894, 9566, 1211, 3615, 8608, 5172, 2288, 49429, 6225, 4117, 3794, 37495, 22653, 34105, 8717, 36178, 2423, 5380, 4724, 3794, 13425, 2031, 77, 4724, 14407, 24401, 15844, 2031, 77, 6156, 3224, 24192, 8717, 31371, 7435, 3660, 20328, 5016, 10632, 46811, 10943, 16678], "avg_logprob": -0.34919240501489535, "compression_ratio": 1.5380710659898478, "no_speech_prob": 0.0, "words": [{"start": 401.05, "end": 401.63, "word": "تعتبر", "probability": 0.6489054361979166}, {"start": 401.63, "end": 401.93, "word": " ال", "probability": 0.482666015625}, {"start": 401.93, "end": 402.15, "word": " 1", "probability": 0.1944580078125}, {"start": 402.15, "end": 402.37, "word": " على", "probability": 0.69091796875}, {"start": 402.37, 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{"start": 424.77, "end": 426.15, "word": " تمام", "probability": 0.75537109375}, {"start": 426.15, "end": 428.69, "word": " hence", "probability": 0.775390625}], "temperature": 1.0}, {"id": 15, "seek": 45931, "start": 433.03, "end": 459.31, "text": "الـ limit ل YN as intense infinity بساوي ال limit ال YN ممكن كتبتها على صورة على صورة", "tokens": [6027, 39184, 4948, 5296, 398, 45, 382, 9447, 13202, 4724, 3794, 995, 45865, 2423, 4948, 2423, 398, 45, 3714, 43020, 9122, 2655, 3555, 2655, 11296, 15844, 20328, 13063, 3660, 15844, 20328, 13063, 3660], "avg_logprob": -0.3667279385468539, "compression_ratio": 1.1730769230769231, "no_speech_prob": 0.0, "words": [{"start": 433.03, "end": 433.41, "word": "الـ", "probability": 0.514404296875}, {"start": 433.41, "end": 433.75, "word": " limit", "probability": 0.64697265625}, {"start": 433.75, "end": 436.81, "word": " ل", "probability": 0.46923828125}, {"start": 436.81, "end": 438.59, "word": " YN", "probability": 0.28717041015625}, {"start": 438.59, "end": 440.73, "word": " as", "probability": 0.61767578125}, {"start": 440.73, "end": 441.47, "word": " intense", "probability": 0.2119140625}, {"start": 441.47, "end": 442.11, "word": " infinity", "probability": 0.50146484375}, {"start": 442.11, "end": 442.99, "word": " بساوي", "probability": 0.6693115234375}, {"start": 442.99, "end": 443.15, "word": " ال", "probability": 0.52685546875}, {"start": 443.15, "end": 444.01, "word": " limit", "probability": 0.5947265625}, {"start": 444.01, "end": 449.29, "word": " ال", "probability": 0.86279296875}, {"start": 449.29, "end": 449.97, "word": " YN", "probability": 0.81640625}, {"start": 449.97, "end": 450.39, "word": " ممكن", "probability": 0.985595703125}, {"start": 450.39, "end": 451.29, "word": " كتبتها", "probability": 0.95546875}, {"start": 451.29, "end": 451.65, "word": " على", "probability": 0.90234375}, {"start": 451.65, "end": 452.67, "word": " صورة", "probability": 0.9388020833333334}, {"start": 452.67, "end": 458.11, "word": " على", "probability": 0.5703125}, {"start": 458.11, "end": 459.31, "word": " صورة", "probability": 0.9923502604166666}], "temperature": 1.0}, {"id": 16, "seek": 48985, "start": 466.21, "end": 489.85, "text": "xn في yn ضرب 1 على xn صح نظبط هيك ال yn هي عبارة عن xn في yn في 1 على xn", "tokens": [87, 77, 8978, 17861, 48812, 25513, 502, 15844, 2031, 77, 20328, 5016, 8717, 19913, 3555, 9566, 39896, 4117, 2423, 17861, 39896, 6225, 3555, 9640, 3660, 18871, 2031, 77, 8978, 17861, 8978, 502, 15844, 2031, 77], "avg_logprob": -0.3118489682674408, "compression_ratio": 1.244186046511628, "no_speech_prob": 0.0, "words": [{"start": 466.21, "end": 467.33, "word": "xn", "probability": 0.197113037109375}, {"start": 467.33, "end": 467.99, "word": " في", "probability": 0.63671875}, {"start": 467.99, "end": 468.69, "word": " yn", "probability": 0.8056640625}, {"start": 468.69, "end": 471.61, "word": " ضرب", "probability": 0.83984375}, {"start": 471.61, "end": 475.77, "word": " 1", "probability": 0.263427734375}, {"start": 475.77, "end": 476.31, "word": " على", "probability": 0.7275390625}, {"start": 476.31, "end": 477.17, "word": " xn", "probability": 0.92578125}, {"start": 477.17, "end": 481.29, "word": " صح", "probability": 0.744873046875}, {"start": 481.29, "end": 483.91, "word": " نظبط", "probability": 0.62359619140625}, {"start": 483.91, "end": 484.39, "word": " هيك", "probability": 0.7705078125}, {"start": 484.39, "end": 485.61, "word": " ال", "probability": 0.95458984375}, {"start": 485.61, "end": 486.19, "word": " yn", "probability": 0.43359375}, {"start": 486.19, "end": 486.43, "word": " هي", "probability": 0.81201171875}, {"start": 486.43, "end": 486.81, "word": " عبارة", "probability": 0.9901123046875}, {"start": 486.81, "end": 487.07, "word": " عن", "probability": 0.98876953125}, {"start": 487.07, "end": 487.63, "word": " xn", "probability": 0.935302734375}, {"start": 487.63, "end": 487.91, "word": " في", "probability": 0.8486328125}, {"start": 487.91, "end": 488.47, "word": " yn", "probability": 0.97021484375}, {"start": 488.47, "end": 488.73, "word": " في", "probability": 0.9794921875}, {"start": 488.73, "end": 489.03, "word": " 1", "probability": 0.92578125}, {"start": 489.03, "end": 489.41, "word": " على", "probability": 0.88671875}, {"start": 489.41, "end": 489.85, "word": " xn", "probability": 0.990478515625}], "temperature": 1.0}, {"id": 17, "seek": 51588, "start": 492.88, "end": 515.88, "text": "الان ال limit هذه لحد الأول exist و limit ل واحد على xn برضه exist اذا ال limit حاصل ضرب بساوي حاصل ضرب ال limits بقدر استخدم القانون هذا هطبق انه limit حاصل ضرب two sequences بساوي limit الأولى اللي هي حاصل ضرب xn yn", "tokens": [6027, 7649, 2423, 4948, 29538, 5296, 24401, 16247, 12610, 2514, 4032, 4948, 5296, 36764, 24401, 15844, 2031, 77, 4724, 43042, 3224, 2514, 1975, 15730, 2423, 4948, 11331, 33546, 1211, 48812, 25513, 4724, 3794, 995, 45865, 11331, 33546, 1211, 48812, 25513, 2423, 10406, 4724, 28543, 2288, 44713, 9778, 40448, 25062, 7649, 11536, 23758, 8032, 9566, 3555, 4587, 16472, 3224, 4948, 11331, 33546, 1211, 48812, 25513, 732, 22978, 4724, 3794, 995, 45865, 4948, 16247, 12610, 7578, 13672, 1829, 39896, 11331, 33546, 1211, 48812, 25513, 2031, 77, 17861], "avg_logprob": -0.25890261281368343, "compression_ratio": 1.8700564971751412, "no_speech_prob": 0.0, "words": [{"start": 492.88, "end": 493.36, "word": "الان", "probability": 0.730224609375}, {"start": 493.36, "end": 493.54, "word": " ال", "probability": 0.1904296875}, {"start": 493.54, "end": 493.86, "word": " limit", "probability": 0.80615234375}, {"start": 493.86, "end": 494.64, "word": " هذه", "probability": 0.5703125}, {"start": 494.64, "end": 495.34, "word": " لحد", "probability": 0.846923828125}, {"start": 495.34, "end": 495.88, "word": " الأول", "probability": 0.816650390625}, {"start": 495.88, "end": 496.38, "word": " exist", "probability": 0.78466796875}, {"start": 496.38, "end": 497.56, "word": " و", "probability": 0.447509765625}, {"start": 497.56, "end": 497.86, "word": " limit", "probability": 0.8447265625}, {"start": 497.86, "end": 498.04, "word": " ل", "probability": 0.7412109375}, {"start": 498.04, "end": 498.36, "word": " واحد", "probability": 0.700439453125}, {"start": 498.36, "end": 498.5, "word": " على", "probability": 0.60302734375}, {"start": 498.5, "end": 498.92, "word": " xn", "probability": 0.49560546875}, {"start": 498.92, "end": 499.32, "word": " برضه", "probability": 0.9754231770833334}, {"start": 499.32, "end": 500.34, "word": " exist", "probability": 0.95361328125}, {"start": 500.34, "end": 500.58, "word": " اذا", "probability": 0.53717041015625}, {"start": 500.58, "end": 500.74, "word": " ال", "probability": 0.388671875}, {"start": 500.74, "end": 500.96, "word": " limit", "probability": 0.97216796875}, {"start": 500.96, "end": 501.44, "word": " حاصل", "probability": 0.6605631510416666}, {"start": 501.44, "end": 501.74, "word": " ضرب", "probability": 0.949951171875}, {"start": 501.74, "end": 502.2, "word": " بساوي", "probability": 0.7386474609375}, {"start": 502.2, "end": 502.66, "word": " حاصل", "probability": 0.98193359375}, {"start": 502.66, "end": 502.92, "word": " ضرب", "probability": 0.990234375}, {"start": 502.92, "end": 503.12, "word": " ال", "probability": 0.5869140625}, {"start": 503.12, "end": 503.44, "word": " limits", "probability": 0.96923828125}, {"start": 503.44, "end": 504.0, "word": " بقدر", "probability": 0.7997233072916666}, {"start": 504.0, "end": 505.12, "word": " استخدم", "probability": 0.9361979166666666}, {"start": 505.12, "end": 505.64, "word": " القانون", "probability": 0.990234375}, {"start": 505.64, "end": 506.14, "word": " هذا", "probability": 0.9150390625}, {"start": 506.14, "end": 507.26, "word": " هطبق", "probability": 0.7366943359375}, {"start": 507.26, "end": 507.54, "word": " انه", "probability": 0.642822265625}, {"start": 507.54, "end": 507.78, "word": " limit", "probability": 0.97998046875}, {"start": 507.78, "end": 508.24, "word": " حاصل", "probability": 0.9851888020833334}, {"start": 508.24, "end": 508.48, "word": " ضرب", "probability": 0.994140625}, {"start": 508.48, "end": 508.72, "word": " two", "probability": 0.91357421875}, {"start": 508.72, "end": 509.4, "word": " sequences", "probability": 0.93212890625}, {"start": 509.4, "end": 510.76, "word": " بساوي", "probability": 0.93701171875}, {"start": 510.76, "end": 511.14, "word": " limit", "probability": 0.951171875}, {"start": 511.14, "end": 512.36, "word": " الأولى", "probability": 0.8483072916666666}, {"start": 512.36, "end": 512.64, "word": " اللي", "probability": 0.689453125}, {"start": 512.64, "end": 513.02, "word": " هي", "probability": 0.82958984375}, {"start": 513.02, "end": 513.64, "word": " حاصل", "probability": 0.9850260416666666}, {"start": 513.64, "end": 513.98, "word": " ضرب", "probability": 0.994873046875}, {"start": 513.98, "end": 515.04, "word": " xn", "probability": 0.897705078125}, {"start": 515.04, "end": 515.88, "word": " yn", "probability": 0.232666015625}], "temperature": 1.0}, {"id": 18, "seek": 54591, "start": 517.96, "end": 545.92, "text": "درب limit الـ sequence التانية هي واحد على X end as n tends to infinity و ال limit الأولى مش سامناها عدد L لما exist ضرب ال limit التانية سفر فبطلع عندي سفر و هو المطلوب فهنا أثبتنا في الحالة التانية case two", "tokens": [3215, 25513, 4948, 2423, 39184, 8310, 16712, 7649, 10632, 39896, 36764, 24401, 15844, 1783, 917, 382, 297, 12258, 281, 13202, 4032, 2423, 4948, 16247, 12610, 7578, 37893, 8608, 10943, 8315, 11296, 6225, 3215, 3215, 441, 5296, 15042, 2514, 48812, 25513, 2423, 4948, 16712, 7649, 10632, 8608, 5172, 2288, 6156, 3555, 9566, 1211, 3615, 18871, 16254, 8608, 5172, 2288, 4032, 31439, 9673, 9566, 1211, 37746, 6156, 3224, 8315, 5551, 12984, 3555, 2655, 8315, 8978, 21542, 6027, 3660, 16712, 7649, 10632, 1389, 732], "avg_logprob": -0.37423780996625017, "compression_ratio": 1.5879396984924623, "no_speech_prob": 0.0, "words": [{"start": 517.96, "end": 518.48, "word": "درب", "probability": 0.43212890625}, {"start": 518.48, "end": 519.12, "word": " limit", "probability": 0.55810546875}, {"start": 519.12, "end": 520.7, "word": " الـ", "probability": 0.303466796875}, {"start": 520.7, "end": 521.1, "word": " sequence", "probability": 0.251708984375}, {"start": 521.1, "end": 521.68, "word": " التانية", "probability": 0.8369140625}, {"start": 521.68, "end": 521.98, "word": " هي", "probability": 0.486083984375}, {"start": 521.98, "end": 522.58, "word": " واحد", "probability": 0.822998046875}, {"start": 522.58, "end": 522.84, "word": " على", "probability": 0.435791015625}, {"start": 522.84, "end": 523.24, "word": " X", "probability": 0.376708984375}, {"start": 523.24, "end": 523.76, "word": " end", "probability": 0.1748046875}, {"start": 523.76, "end": 525.36, "word": " as", "probability": 0.35595703125}, {"start": 525.36, "end": 525.72, "word": " n", "probability": 0.370849609375}, {"start": 525.72, "end": 526.04, "word": " tends", "probability": 0.71533203125}, {"start": 526.04, "end": 526.2, "word": " to", "probability": 0.828125}, {"start": 526.2, "end": 526.68, "word": " infinity", "probability": 0.8486328125}, {"start": 526.68, "end": 528.18, "word": " و", "probability": 0.3330078125}, {"start": 528.18, "end": 528.44, "word": " ال", "probability": 0.50341796875}, {"start": 528.44, "end": 528.72, "word": " limit", "probability": 0.8046875}, {"start": 528.72, "end": 529.42, "word": " الأولى", "probability": 0.9314778645833334}, {"start": 529.42, "end": 529.74, "word": " مش", "probability": 0.172119140625}, {"start": 529.74, "end": 530.74, "word": " سامناها", "probability": 0.7557373046875}, {"start": 530.74, "end": 531.18, "word": " عدد", "probability": 0.9747721354166666}, {"start": 531.18, "end": 531.46, "word": " L", "probability": 0.460205078125}, {"start": 531.46, "end": 531.78, "word": " لما", "probability": 0.85498046875}, {"start": 531.78, "end": 532.28, "word": " exist", "probability": 0.80517578125}, {"start": 532.28, "end": 532.94, "word": " ضرب", "probability": 0.818115234375}, {"start": 532.94, "end": 533.94, "word": " ال", "probability": 0.794921875}, {"start": 533.94, "end": 534.18, "word": " limit", "probability": 0.734375}, {"start": 534.18, "end": 534.76, "word": " التانية", "probability": 0.916015625}, {"start": 534.76, "end": 535.36, "word": " سفر", "probability": 0.8424479166666666}, {"start": 535.36, "end": 536.04, "word": " فبطلع", "probability": 0.86396484375}, {"start": 536.04, "end": 536.38, "word": " عندي", "probability": 0.637939453125}, {"start": 536.38, "end": 536.98, "word": " سفر", "probability": 0.9059244791666666}, {"start": 536.98, "end": 537.58, "word": " و", "probability": 0.464599609375}, {"start": 537.58, "end": 537.78, "word": " هو", "probability": 0.8681640625}, {"start": 537.78, "end": 538.62, "word": " المطلوب", "probability": 0.9791259765625}, {"start": 538.62, "end": 541.6, "word": " فهنا", "probability": 0.5892333984375}, {"start": 541.6, "end": 542.1, "word": " أثبتنا", "probability": 0.96259765625}, {"start": 542.1, "end": 542.24, "word": " في", "probability": 0.876953125}, {"start": 542.24, "end": 542.72, "word": " الحالة", "probability": 0.9798177083333334}, {"start": 542.72, "end": 544.86, "word": " التانية", "probability": 0.78515625}, {"start": 544.86, "end": 545.46, "word": " case", "probability": 0.8447265625}, {"start": 545.46, "end": 545.92, "word": " two", "probability": 0.50927734375}], "temperature": 1.0}, {"id": 19, "seek": 57638, "start": 550.14, "end": 576.38, "text": "لو كانت ال limit لـ xn بساوي negative infinity ففي الحالة هذه بيطلع عندي برضه by exercise تلاتة section تلاتة ستة بس هنا مع التعديل هيطلع ان ال limit", "tokens": [1211, 2407, 25961, 2655, 2423, 4948, 5296, 39184, 2031, 77, 4724, 3794, 995, 45865, 3671, 13202, 6156, 41185, 21542, 6027, 3660, 29538, 4724, 1829, 9566, 1211, 3615, 18871, 16254, 4724, 43042, 3224, 538, 5380, 6055, 1211, 9307, 3660, 3541, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 4724, 3794, 34105, 20449, 16712, 3615, 16254, 1211, 39896, 9566, 1211, 3615, 16472, 2423, 4948], "avg_logprob": -0.285534274674231, "compression_ratio": 1.40625, "no_speech_prob": 0.0, "words": [{"start": 550.14, "end": 550.54, "word": "لو", "probability": 0.6339111328125}, {"start": 550.54, "end": 550.98, "word": " كانت", "probability": 0.927490234375}, {"start": 550.98, "end": 551.08, "word": " ال", "probability": 0.338134765625}, {"start": 551.08, "end": 551.4, "word": " limit", "probability": 0.642578125}, {"start": 551.4, "end": 551.92, "word": " لـ", "probability": 0.3499755859375}, {"start": 551.92, "end": 552.68, "word": " xn", "probability": 0.442138671875}, {"start": 552.68, "end": 554.4, "word": " بساوي", "probability": 0.6470947265625}, {"start": 554.4, "end": 554.86, "word": " negative", "probability": 0.70849609375}, {"start": 554.86, "end": 555.66, "word": " infinity", "probability": 0.89208984375}, {"start": 555.66, "end": 564.2, "word": " ففي", "probability": 0.605712890625}, {"start": 564.2, "end": 564.66, "word": " الحالة", "probability": 0.93408203125}, {"start": 564.66, "end": 565.0, "word": " هذه", "probability": 0.85986328125}, {"start": 565.0, "end": 565.44, "word": " بيطلع", "probability": 0.693896484375}, {"start": 565.44, "end": 565.84, "word": " عندي", "probability": 0.71142578125}, {"start": 565.84, "end": 567.08, "word": " برضه", "probability": 0.7470703125}, {"start": 567.08, "end": 567.52, "word": " by", "probability": 0.56689453125}, {"start": 567.52, "end": 568.28, "word": " exercise", "probability": 0.90185546875}, {"start": 568.28, "end": 569.58, "word": " تلاتة", "probability": 0.85205078125}, {"start": 569.58, "end": 570.04, "word": " section", "probability": 0.669921875}, {"start": 570.04, "end": 570.66, "word": " تلاتة", "probability": 0.9713134765625}, {"start": 570.66, "end": 571.62, "word": " ستة", "probability": 0.9611002604166666}, {"start": 571.62, "end": 572.66, "word": " بس", "probability": 0.927001953125}, {"start": 572.66, "end": 572.9, "word": " هنا", "probability": 0.85205078125}, {"start": 572.9, "end": 573.12, "word": " مع", "probability": 0.96142578125}, {"start": 573.12, "end": 574.1, "word": " التعديل", "probability": 0.88330078125}, {"start": 574.1, "end": 575.7, "word": " هيطلع", "probability": 0.9033203125}, {"start": 575.7, "end": 575.9, "word": " ان", "probability": 0.46875}, {"start": 575.9, "end": 576.02, "word": " ال", "probability": 0.8603515625}, {"start": 576.02, "end": 576.38, "word": " limit", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 20, "seek": 59945, "start": 578.07, "end": 599.45, "text": "لا واحد على اكس ان مثلا سفر و باقي البرهان and the rest of the proof is similar to case one", "tokens": [15040, 36764, 24401, 15844, 1975, 4117, 3794, 16472, 50113, 15040, 8608, 5172, 2288, 4032, 4724, 995, 38436, 2423, 26890, 3224, 7649, 293, 264, 1472, 295, 264, 8177, 307, 2531, 281, 1389, 472], "avg_logprob": -0.39820075757575757, "compression_ratio": 1.1376146788990826, "no_speech_prob": 0.0, "words": [{"start": 578.07, "end": 578.57, "word": "لا", "probability": 0.2108154296875}, {"start": 578.57, "end": 580.33, "word": " واحد", "probability": 0.74609375}, {"start": 580.33, "end": 580.53, "word": " على", "probability": 0.47998046875}, {"start": 580.53, "end": 581.05, "word": " اكس", "probability": 0.8170572916666666}, {"start": 581.05, "end": 581.51, "word": " ان", "probability": 0.231689453125}, {"start": 581.51, "end": 582.25, "word": " مثلا", "probability": 0.5152587890625}, {"start": 582.25, "end": 582.91, "word": " سفر", "probability": 0.68896484375}, {"start": 582.91, "end": 583.83, "word": " و", "probability": 0.4169921875}, {"start": 583.83, "end": 584.25, "word": " باقي", "probability": 0.64208984375}, {"start": 584.25, "end": 584.91, "word": " البرهان", "probability": 0.885498046875}, {"start": 584.91, "end": 586.83, "word": " and", "probability": 0.471435546875}, {"start": 586.83, "end": 589.23, "word": " the", "probability": 0.8330078125}, {"start": 589.23, "end": 590.35, "word": " rest", "probability": 0.94384765625}, {"start": 590.35, "end": 591.67, "word": " of", "probability": 0.96435546875}, {"start": 591.67, "end": 593.33, "word": " the", "probability": 0.80615234375}, {"start": 593.33, "end": 593.87, "word": " proof", "probability": 0.9580078125}, {"start": 593.87, "end": 594.83, "word": " is", "probability": 0.892578125}, {"start": 594.83, "end": 595.45, "word": " similar", "probability": 0.94970703125}, {"start": 595.45, "end": 598.73, "word": " to", "probability": 0.6015625}, {"start": 598.73, "end": 599.15, "word": " case", "probability": 0.90478515625}, {"start": 599.15, "end": 599.45, "word": " one", "probability": 0.7763671875}], "temperature": 1.0}, {"id": 21, "seek": 62480, "start": 603.65, "end": 624.81, "text": "Okay تمام اذا هذا اللي هو البرهام ان الادكارة تعتمد على exercise ثلاثة المهم وهو ان limit ل sequence بيساوي infinity if and only if limit مقلوب ال sequence بيساوي سفر او لعكس تمام و هذا", "tokens": [8297, 46811, 10943, 1975, 15730, 23758, 13672, 1829, 31439, 2423, 26890, 3224, 10943, 16472, 2423, 18513, 4117, 9640, 3660, 6055, 34268, 2304, 3215, 15844, 5380, 38637, 1211, 5718, 104, 3660, 9673, 16095, 37037, 2407, 16472, 4948, 5296, 8310, 4724, 1829, 3794, 995, 45865, 13202, 498, 293, 787, 498, 4948, 3714, 4587, 1211, 37746, 2423, 8310, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 1975, 2407, 5296, 3615, 4117, 3794, 46811, 10943, 4032, 23758], "avg_logprob": -0.29307432351885615, "compression_ratio": 1.5444444444444445, "no_speech_prob": 0.0, "words": [{"start": 603.65, "end": 604.13, "word": "Okay", "probability": 0.7119140625}, {"start": 604.13, "end": 604.63, "word": " تمام", "probability": 0.890625}, {"start": 604.63, "end": 606.19, "word": " اذا", "probability": 0.58197021484375}, {"start": 606.19, "end": 606.89, "word": " هذا", "probability": 0.28125}, {"start": 606.89, "end": 607.37, "word": " اللي", "probability": 0.717041015625}, {"start": 607.37, "end": 607.73, "word": " هو", "probability": 0.9912109375}, {"start": 607.73, "end": 608.47, "word": " البرهام", "probability": 0.70977783203125}, {"start": 608.47, "end": 608.99, "word": " ان", "probability": 0.8134765625}, {"start": 608.99, "end": 609.85, "word": " الادكارة", "probability": 0.4093505859375}, {"start": 609.85, "end": 611.29, "word": " تعتمد", "probability": 0.9246826171875}, {"start": 611.29, "end": 611.61, "word": " على", "probability": 0.80078125}, {"start": 611.61, "end": 612.11, "word": " exercise", "probability": 0.603515625}, {"start": 612.11, "end": 613.09, "word": " ثلاثة", "probability": 0.862060546875}, {"start": 613.09, "end": 613.93, "word": " المهم", "probability": 0.800048828125}, {"start": 613.93, "end": 615.15, "word": " وهو", "probability": 0.78564453125}, {"start": 615.15, "end": 615.37, "word": " ان", "probability": 0.87255859375}, {"start": 615.37, "end": 615.69, "word": " limit", "probability": 0.7607421875}, {"start": 615.69, "end": 615.87, "word": " ل", "probability": 0.81005859375}, {"start": 615.87, "end": 616.49, "word": " sequence", "probability": 0.75048828125}, {"start": 616.49, "end": 617.03, "word": " بيساوي", "probability": 0.736669921875}, {"start": 617.03, "end": 617.55, "word": " infinity", "probability": 0.81005859375}, {"start": 617.55, "end": 618.31, "word": " if", "probability": 0.93798828125}, {"start": 618.31, "end": 618.51, "word": " and", "probability": 0.93408203125}, {"start": 618.51, "end": 618.69, "word": " only", "probability": 0.91748046875}, {"start": 618.69, "end": 619.03, "word": " if", "probability": 0.97900390625}, {"start": 619.03, "end": 619.75, "word": " limit", "probability": 0.97412109375}, {"start": 619.75, "end": 620.25, "word": " مقلوب", "probability": 0.8194580078125}, {"start": 620.25, "end": 620.39, "word": " ال", "probability": 0.73974609375}, {"start": 620.39, "end": 620.73, "word": " sequence", "probability": 0.9755859375}, {"start": 620.73, "end": 621.15, "word": " بيساوي", "probability": 0.96650390625}, {"start": 621.15, "end": 621.47, "word": " سفر", "probability": 0.8333333333333334}, {"start": 621.47, "end": 621.63, "word": " او", "probability": 0.888916015625}, {"start": 621.63, "end": 622.39, "word": " لعكس", "probability": 0.8690185546875}, {"start": 622.39, "end": 624.77, "word": " تمام", "probability": 0.888427734375}, {"start": 624.77, "end": 624.81, "word": " و", "probability": 0.52685546875}, {"start": 624.81, "end": 624.81, "word": " هذا", "probability": 0.64453125}], "temperature": 1.0}, {"id": 22, "seek": 64967, "start": 634.46, "end": 649.68, "text": "في عنكم أسئلة تانية؟ في أسئلة تانية section تلاتة ستة الفرق بيه من سؤال تسعة", "tokens": [41185, 18871, 24793, 5551, 3794, 19986, 37977, 6055, 7649, 10632, 22807, 8978, 5551, 3794, 19986, 37977, 6055, 7649, 10632, 3541, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 27188, 2288, 4587, 4724, 1829, 3224, 9154, 8608, 33604, 6027, 6055, 3794, 27884], "avg_logprob": -0.22465701510266559, "compression_ratio": 1.3232323232323233, "no_speech_prob": 0.0, "words": [{"start": 634.46, "end": 634.74, "word": "في", "probability": 0.490966796875}, {"start": 634.74, "end": 635.04, "word": " عنكم", "probability": 0.6826171875}, {"start": 635.04, "end": 635.42, "word": " أسئلة", "probability": 0.9521484375}, {"start": 635.42, "end": 639.4, "word": " تانية؟", "probability": 0.9017333984375}, {"start": 639.4, "end": 645.26, "word": " في", "probability": 0.857421875}, {"start": 645.26, "end": 645.6, "word": " أسئلة", "probability": 0.9764404296875}, {"start": 645.6, "end": 646.06, "word": " تانية", "probability": 0.998046875}, {"start": 646.06, "end": 646.42, "word": " section", "probability": 0.69189453125}, {"start": 646.42, "end": 646.94, "word": " تلاتة", "probability": 0.89208984375}, {"start": 646.94, "end": 647.4, "word": " ستة", "probability": 0.9256184895833334}, {"start": 647.4, "end": 648.58, "word": " الفرق", "probability": 0.3092447916666667}, {"start": 648.58, "end": 648.84, "word": " بيه", "probability": 0.9124348958333334}, {"start": 648.84, "end": 649.0, "word": " من", "probability": 0.97119140625}, {"start": 649.0, "end": 649.22, "word": " سؤال", "probability": 0.9498697916666666}, {"start": 649.22, "end": 649.68, "word": " تسعة", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 23, "seek": 70360, "start": 693.22, "end": 703.6, "text": "حاول نكتب السؤال و بعدين السؤال تسعة section تلاتة ع ستة", "tokens": [5016, 995, 12610, 8717, 4117, 2655, 3555, 21136, 33604, 6027, 4032, 39182, 9957, 21136, 33604, 6027, 6055, 3794, 27884, 3541, 6055, 1211, 9307, 3660, 6225, 8608, 2655, 3660], "avg_logprob": -0.1543642179719333, "compression_ratio": 1.1585365853658536, "no_speech_prob": 0.0, "words": [{"start": 693.22, "end": 693.64, "word": "حاول", "probability": 0.7969563802083334}, {"start": 693.64, "end": 694.08, "word": " نكتب", "probability": 0.97998046875}, {"start": 694.08, "end": 694.66, "word": " السؤال", "probability": 0.96875}, {"start": 694.66, "end": 694.78, "word": " و", "probability": 0.469970703125}, {"start": 694.78, "end": 696.4, "word": " بعدين", "probability": 0.901611328125}, {"start": 696.4, "end": 701.38, "word": " السؤال", "probability": 0.87353515625}, {"start": 701.38, "end": 701.92, "word": " تسعة", "probability": 0.8566080729166666}, {"start": 701.92, "end": 702.42, "word": " section", "probability": 0.5927734375}, {"start": 702.42, "end": 702.92, "word": " تلاتة", "probability": 0.882568359375}, {"start": 702.92, "end": 703.06, "word": " ع", "probability": 0.84619140625}, {"start": 703.06, "end": 703.6, "word": " ستة", "probability": 0.9754231770833334}], "temperature": 1.0}, {"id": 24, "seek": 74244, "start": 713.32, "end": 742.44, "text": "لت XIN و YIN بيكونوا عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين من عاملين", "tokens": [1211, 2655, 1783, 1464, 4032, 398, 1464, 4724, 1829, 30544, 14407, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957, 9154, 6225, 10943, 1211, 9957], "avg_logprob": -0.3168604609578155, "compression_ratio": 5.175438596491228, "no_speech_prob": 0.0, "words": [{"start": 713.32, "end": 713.84, "word": "لت", "probability": 0.384063720703125}, {"start": 713.84, "end": 714.68, "word": " XIN", "probability": 0.3646240234375}, {"start": 714.68, "end": 716.4, "word": " و", "probability": 0.90771484375}, {"start": 716.4, "end": 717.44, "word": " YIN", "probability": 0.7509765625}, {"start": 717.44, "end": 718.5, "word": " بيكونوا", "probability": 0.609375}, {"start": 718.5, "end": 718.9, "word": " عاملين", "probability": 0.40338134765625}, {"start": 718.9, "end": 720.64, "word": " من", "probability": 0.373291015625}, {"start": 720.64, "end": 723.06, "word": " عاملين", "probability": 0.700225830078125}, {"start": 723.06, "end": 723.06, "word": " من", "probability": 0.06561279296875}, {"start": 723.06, "end": 724.38, "word": " عاملين", "probability": 0.941650390625}, {"start": 724.38, "end": 724.4, "word": " من", "probability": 0.477294921875}, {"start": 724.4, "end": 724.44, "word": " عاملين", "probability": 0.96923828125}, {"start": 724.44, "end": 724.46, "word": " من", "probability": 0.6396484375}, {"start": 724.46, "end": 726.72, "word": " عاملين", "probability": 0.978759765625}, {"start": 726.72, "end": 726.72, "word": " من", "probability": 0.71435546875}, {"start": 726.72, "end": 726.8, "word": " عاملين", "probability": 0.9840087890625}, {"start": 726.8, "end": 726.8, "word": " من", "probability": 0.75732421875}, {"start": 726.8, "end": 726.8, "word": " عاملين", "probability": 0.9871826171875}, {"start": 726.8, "end": 726.8, "word": " من", "probability": 0.79345703125}, {"start": 726.8, "end": 726.86, "word": " عاملين", "probability": 0.98876953125}, {"start": 726.86, "end": 726.86, "word": " من", "probability": 0.7958984375}, {"start": 726.86, "end": 726.94, "word": " عاملين", "probability": 0.9906005859375}, {"start": 726.94, "end": 727.02, "word": " من", "probability": 0.8037109375}, {"start": 727.02, "end": 727.12, "word": " عاملين", "probability": 0.9918212890625}, {"start": 727.12, "end": 727.12, "word": " من", "probability": 0.78955078125}, {"start": 727.12, "end": 727.24, "word": " عاملين", "probability": 0.99267578125}, {"start": 727.24, "end": 727.24, "word": " من", "probability": 0.79150390625}, {"start": 727.24, "end": 727.34, "word": " عاملين", "probability": 0.9935302734375}, {"start": 727.34, "end": 727.34, "word": " من", "probability": 0.8037109375}, {"start": 727.34, "end": 727.78, "word": " عاملين", "probability": 0.9940185546875}, {"start": 727.78, "end": 729.1, "word": " من", "probability": 0.81591796875}, {"start": 729.1, "end": 730.8, "word": " عاملين", "probability": 0.99462890625}, {"start": 730.8, "end": 732.86, "word": " من", "probability": 0.845703125}, {"start": 732.86, "end": 742.44, "word": " عاملين", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 25, "seek": 77359, "start": 751.89, "end": 773.59, "text": "مطلوب الأول هو show if limit yn بساوي infinity then limit xn بساوي infinity", "tokens": [2304, 9566, 1211, 37746, 16247, 12610, 31439, 855, 498, 4948, 17861, 4724, 3794, 995, 45865, 13202, 550, 4948, 2031, 77, 4724, 3794, 995, 45865, 13202], "avg_logprob": -0.4477163346914145, "compression_ratio": 1.1975308641975309, "no_speech_prob": 0.0, "words": [{"start": 751.89, "end": 753.29, "word": "مطلوب", "probability": 0.677276611328125}, {"start": 753.29, "end": 753.79, "word": " الأول", "probability": 0.6378173828125}, {"start": 753.79, "end": 754.43, "word": " هو", "probability": 0.1396484375}, {"start": 754.43, "end": 756.73, "word": " show", "probability": 0.43408203125}, {"start": 756.73, "end": 757.29, "word": " if", "probability": 0.8740234375}, {"start": 757.29, "end": 760.03, "word": " limit", "probability": 0.8134765625}, {"start": 760.03, "end": 762.65, "word": " yn", "probability": 0.2452392578125}, {"start": 762.65, "end": 763.55, "word": " بساوي", "probability": 0.697021484375}, {"start": 763.55, "end": 764.27, "word": " infinity", "probability": 0.76318359375}, {"start": 764.27, "end": 767.21, "word": " then", "probability": 0.263916015625}, {"start": 767.21, "end": 771.37, "word": " limit", "probability": 0.93212890625}, {"start": 771.37, "end": 772.27, "word": " xn", "probability": 0.95654296875}, {"start": 772.27, "end": 772.97, "word": " بساوي", "probability": 0.9593505859375}, {"start": 772.97, "end": 773.59, "word": " infinity", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 26, "seek": 80560, "start": 776.82, "end": 805.6, "text": "والجزء التاني show if x in is bounded then limit y in is serviceable طبعا", "tokens": [2407, 6027, 7435, 11622, 38207, 16712, 7649, 1829, 855, 498, 2031, 294, 307, 37498, 550, 4948, 288, 294, 307, 2643, 712, 23032, 3555, 3615, 995], "avg_logprob": -0.28290264308452606, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 776.82, "end": 777.6, "word": "والجزء", "probability": 0.7919921875}, {"start": 777.6, "end": 778.22, "word": " التاني", "probability": 0.8585611979166666}, {"start": 778.22, "end": 778.72, "word": " show", "probability": 0.72314453125}, {"start": 778.72, "end": 779.46, "word": " if", "probability": 0.89404296875}, {"start": 779.46, "end": 781.58, "word": " x", "probability": 0.71826171875}, {"start": 781.58, "end": 782.08, "word": " in", "probability": 0.6845703125}, {"start": 782.08, "end": 784.24, "word": " is", "probability": 0.6142578125}, {"start": 784.24, "end": 784.78, "word": " bounded", "probability": 0.98046875}, {"start": 784.78, "end": 790.66, "word": " then", "probability": 0.55615234375}, {"start": 790.66, "end": 795.68, "word": " limit", "probability": 0.66796875}, {"start": 795.68, "end": 796.12, "word": " y", "probability": 0.7666015625}, {"start": 796.12, "end": 796.88, "word": " in", "probability": 0.9521484375}, {"start": 796.88, "end": 798.76, "word": " is", "probability": 0.473876953125}, {"start": 798.76, "end": 799.58, "word": " serviceable", "probability": 0.74951171875}, {"start": 799.58, "end": 805.6, "word": " طبعا", "probability": 0.9249267578125}], "temperature": 1.0}, {"id": 27, "seek": 83918, "start": 810.88, "end": 839.18, "text": "في برهانين لل .. لل exercise هذا البرهان الأول باستخدام exercise 7 اللي جابله يعني هنا since من الفرض لما انه limit", "tokens": [41185, 4724, 2288, 3224, 7649, 9957, 24976, 4386, 24976, 5380, 23758, 29739, 2288, 3224, 7649, 16247, 12610, 4724, 995, 14851, 9778, 3215, 10943, 5380, 1614, 13672, 1829, 10874, 16758, 43761, 37495, 22653, 34105, 1670, 9154, 27188, 43042, 5296, 15042, 16472, 3224, 4948], 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tends to infinity بساوي plus infinity then by exercise تلاتة section تلاتة ستة if limit sequence بساوي infinity", "tokens": [87, 77, 15844, 17861, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 45865, 1804, 13202, 550, 538, 5380, 6055, 1211, 9307, 3660, 3541, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 498, 4948, 8310, 4724, 3794, 995, 45865, 13202], "avg_logprob": -0.31330127746630937, "compression_ratio": 1.3217391304347825, "no_speech_prob": 0.0, "words": [{"start": 840.29, "end": 841.31, "word": "xn", "probability": 0.29779052734375}, {"start": 841.31, "end": 841.61, "word": " على", "probability": 0.367431640625}, {"start": 841.61, "end": 842.25, "word": " yn", "probability": 0.91064453125}, {"start": 842.25, "end": 844.03, "word": " as", "probability": 0.311767578125}, {"start": 844.03, "end": 844.39, "word": " n", "probability": 0.595703125}, {"start": 844.39, "end": 844.69, "word": " tends", "probability": 0.357177734375}, {"start": 844.69, "end": 844.79, "word": " to", 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"probability": 0.287353515625}, {"start": 891.06, "end": 891.64, "word": " تلاتة", "probability": 0.9031982421875}, {"start": 891.64, "end": 892.34, "word": " ستة", "probability": 0.9645182291666666}, {"start": 892.34, "end": 895.94, "word": " to", "probability": 0.890625}, {"start": 895.94, "end": 896.34, "word": " get", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 30, "seek": 92583, "start": 899.87, "end": 925.83, "text": "the results in a and b وهذا بيعطيني مرغب لو بصيت و لا ال exercise سبعة في ال exercise سبعة بيقول ده كانت ال limit لل quotient", "tokens": [3322, 3542, 294, 257, 293, 272, 37037, 15730, 4724, 40228, 9566, 1829, 22653, 3714, 2288, 17082, 3555, 45164, 4724, 9381, 36081, 4032, 20193, 2423, 5380, 8608, 3555, 27884, 8978, 2423, 5380, 8608, 3555, 27884, 4724, 1829, 39648, 11778, 3224, 25961, 2655, 2423, 4948, 24976, 9641, 1196], "avg_logprob": -0.32280585613656554, "compression_ratio": 1.3185185185185184, "no_speech_prob": 0.0, "words": [{"start": 899.87, "end": 900.47, "word": "the", "probability": 0.162841796875}, {"start": 900.47, "end": 902.19, "word": " results", "probability": 0.86083984375}, {"start": 902.19, "end": 904.95, "word": " in", "probability": 0.8466796875}, {"start": 904.95, "end": 905.63, "word": " a", "probability": 0.439453125}, {"start": 905.63, "end": 908.29, "word": " and", "probability": 0.9404296875}, {"start": 908.29, "end": 908.91, "word": " b", "probability": 0.95263671875}, {"start": 908.91, "end": 910.29, "word": " وهذا", "probability": 0.73193359375}, {"start": 910.29, "end": 910.87, "word": " بيعطيني", "probability": 0.741357421875}, {"start": 910.87, "end": 911.29, "word": " مرغب", "probability": 0.684814453125}, {"start": 911.29, "end": 913.15, "word": " لو", "probability": 0.59619140625}, {"start": 913.15, "end": 913.79, "word": " بصيت", "probability": 0.9793294270833334}, {"start": 913.79, "end": 913.95, "word": " و", "probability": 0.168212890625}, {"start": 913.95, "end": 914.23, "word": " لا", 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"probability": 0.953125}, {"start": 931.96, "end": 933.88, "word": " ففي", "probability": 0.794921875}, {"start": 933.88, "end": 934.32, "word": " الحالة", "probability": 0.97119140625}, {"start": 934.32, "end": 934.8, "word": " هذه", "probability": 0.89990234375}, {"start": 934.8, "end": 936.32, "word": " إذا", "probability": 0.80908203125}, {"start": 936.32, "end": 936.72, "word": " كانت", "probability": 0.96435546875}, {"start": 936.72, "end": 936.98, "word": " limit", "probability": 0.7392578125}, {"start": 936.98, "end": 937.2, "word": " ال", "probability": 0.845703125}, {"start": 937.2, "end": 937.74, "word": " sequence", "probability": 0.92138671875}, {"start": 937.74, "end": 938.04, "word": " اللي", "probability": 0.905029296875}, {"start": 938.04, "end": 938.48, "word": " تحت", "probability": 0.9423828125}, {"start": 938.48, "end": 939.4, "word": " convergent", "probability": 0.621337890625}, {"start": 939.4, "end": 947.2, "word": " إذا", "probability": 0.60516357421875}, {"start": 947.2, "end": 947.6, "word": " كانت", "probability": 0.989501953125}, {"start": 947.6, "end": 947.86, "word": " limit", "probability": 0.94287109375}, {"start": 947.86, "end": 948.08, "word": " ال", "probability": 0.93212890625}, {"start": 948.08, "end": 948.68, "word": " sequence", "probability": 0.99169921875}, {"start": 948.68, "end": 949.68, "word": " اللي", "probability": 0.98583984375}, {"start": 949.68, "end": 950.24, "word": " تحت", "probability": 0.991943359375}], "temperature": 1.0}, {"id": 32, "seek": 96634, "start": 956.1, "end": 966.34, "text": "لأ limit ال sequence اللي فوق اللي هي yn هنا infinity فبطلع limit xn بال 7 infinity اللي هو جزء 11", "tokens": [1211, 10721, 4948, 2423, 8310, 13672, 1829, 6156, 30543, 13672, 1829, 39896, 17861, 34105, 13202, 6156, 3555, 9566, 1211, 3615, 4948, 2031, 77, 20666, 1614, 13202, 13672, 1829, 31439, 10874, 11622, 38207, 2975], "avg_logprob": -0.3421415432411082, "compression_ratio": 1.3366336633663367, "no_speech_prob": 0.0, "words": [{"start": 956.1, "end": 956.56, "word": "لأ", "probability": 0.605712890625}, {"start": 956.56, "end": 956.96, "word": " limit", "probability": 0.240478515625}, {"start": 956.96, "end": 957.18, "word": " ال", "probability": 0.6708984375}, {"start": 957.18, "end": 957.68, "word": " sequence", "probability": 0.8076171875}, {"start": 957.68, "end": 957.98, "word": " اللي", "probability": 0.730712890625}, {"start": 957.98, "end": 959.16, "word": " فوق", "probability": 0.969970703125}, {"start": 959.16, "end": 959.84, "word": " اللي", "probability": 0.765625}, {"start": 959.84, "end": 960.1, "word": " هي", "probability": 0.64501953125}, {"start": 960.1, "end": 961.58, "word": " yn", "probability": 0.1826171875}, {"start": 961.58, "end": 961.96, "word": " هنا", "probability": 0.74755859375}, {"start": 961.96, "end": 962.66, "word": " infinity", "probability": 0.693359375}, {"start": 962.66, "end": 963.74, "word": " فبطلع", "probability": 0.89140625}, {"start": 963.74, "end": 964.02, "word": " limit", "probability": 0.97314453125}, {"start": 964.02, "end": 964.56, "word": " xn", "probability": 0.8564453125}, {"start": 964.56, "end": 964.76, "word": " بال", "probability": 0.89892578125}, {"start": 964.76, "end": 965.0, "word": " 7", "probability": 0.185791015625}, {"start": 965.0, "end": 965.4, "word": " infinity", "probability": 0.57470703125}, {"start": 965.4, "end": 965.6, "word": " اللي", "probability": 0.947021484375}, {"start": 965.6, "end": 965.7, "word": " هو", "probability": 0.97705078125}, {"start": 965.7, "end": 966.04, "word": " جزء", "probability": 0.8850911458333334}, {"start": 966.04, "end": 966.34, "word": " 11", "probability": 0.7333984375}], "temperature": 1.0}, {"id": 33, "seek": 99070, "start": 968.22, "end": 990.7, "text": "وكمان اذا كانت ال sequence اللى فى المقام bounded اللى هى x in هنا طبعا فى المقام bounded فرقة ال sequence اللى فى ال bust تطلع يساوي 0 وهذا هو الجزء التانى هذا حسب هذا لو بدنا نستخدم exercise رقم 7 وطبعا لازم نبرهنه", "tokens": [2407, 24793, 7649, 1975, 15730, 25961, 2655, 2423, 8310, 13672, 7578, 6156, 7578, 9673, 4587, 10943, 37498, 13672, 7578, 8032, 7578, 2031, 294, 34105, 23032, 3555, 3615, 995, 6156, 7578, 9673, 4587, 10943, 37498, 6156, 2288, 4587, 3660, 2423, 8310, 13672, 7578, 6156, 7578, 2423, 19432, 6055, 9566, 1211, 3615, 7251, 3794, 995, 45865, 1958, 37037, 15730, 31439, 25724, 11622, 38207, 16712, 7649, 7578, 23758, 11331, 35457, 23758, 45164, 47525, 8315, 8717, 14851, 9778, 40448, 5380, 12602, 4587, 2304, 1614, 4032, 9566, 3555, 3615, 995, 5296, 31377, 2304, 8717, 26890, 3224, 1863, 3224], "avg_logprob": -0.15516955468882906, "compression_ratio": 1.7628865979381443, "no_speech_prob": 0.0, "words": [{"start": 968.22, "end": 969.0, "word": "وكمان", "probability": 0.750244140625}, {"start": 969.0, "end": 969.54, "word": " اذا", "probability": 0.6488037109375}, {"start": 969.54, "end": 969.9, "word": " كانت", "probability": 0.989990234375}, {"start": 969.9, "end": 970.06, "word": 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"seek": 104209, "start": 1016.26, "end": 1042.1, "text": "باستخدام التعريفات زايد ال comparison tests اختبارات المقارنة ال proof رقم اتنين since اننا ننسى هذا القرآن انا عند هذه الفرض since limit ل xn over yn هذا عبارة عن sequence", "tokens": [3555, 995, 14851, 9778, 3215, 10943, 16712, 3615, 16572, 5172, 9307, 30767, 995, 25708, 2423, 9660, 6921, 1975, 46456, 3555, 9640, 9307, 9673, 4587, 9640, 1863, 3660, 2423, 8177, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 1670, 16472, 8315, 8717, 1863, 3794, 7578, 23758, 25062, 2288, 148, 48506, 1975, 8315, 43242, 29538, 27188, 43042, 1670, 4948, 5296, 2031, 77, 670, 288, 77, 23758, 6225, 3555, 9640, 3660, 18871, 8310], "avg_logprob": -0.3656249936137881, "compression_ratio": 1.4775280898876404, "no_speech_prob": 0.0, "words": [{"start": 1016.26, "end": 1017.2, "word": "باستخدام", "probability": 0.7483113606770834}, {"start": 1017.2, "end": 1017.9, "word": " التعريفات", "probability": 0.89140625}, {"start": 1017.9, "end": 1018.32, "word": " 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"word": " yn", "probability": 0.664306640625}, {"start": 1040.88, "end": 1041.2, "word": " هذا", "probability": 0.4033203125}, {"start": 1041.2, "end": 1041.52, "word": " عبارة", "probability": 0.8572998046875}, {"start": 1041.52, "end": 1041.72, "word": " عن", "probability": 0.99658203125}, {"start": 1041.72, "end": 1042.1, "word": " sequence", "probability": 0.90625}], "temperature": 1.0}, {"id": 36, "seek": 107119, "start": 1043.65, "end": 1071.19, "text": "لأن الـ limit إلا بالساقر plus infinity then given Alpha أي real number Alpha من تعريف الـ improper convergence لأي Alpha there exists capital N يعتمد على Alpha عدد قضية", "tokens": [1211, 33456, 2423, 39184, 4948, 11933, 15040, 20666, 3794, 995, 4587, 2288, 1804, 13202, 550, 2212, 20588, 36632, 957, 1230, 20588, 9154, 37279, 16572, 5172, 2423, 39184, 40651, 32181, 5296, 10721, 1829, 20588, 456, 8198, 4238, 426, 7251, 34268, 2304, 3215, 15844, 20588, 6225, 3215, 3215, 12174, 11242, 10632], "avg_logprob": -0.48031251192092894, "compression_ratio": 1.2647058823529411, "no_speech_prob": 0.0, "words": [{"start": 1043.65, "end": 1044.17, "word": "لأن", "probability": 0.415496826171875}, {"start": 1044.17, "end": 1044.31, "word": " الـ", "probability": 0.3896484375}, {"start": 1044.31, "end": 1044.63, "word": " limit", "probability": 0.70166015625}, {"start": 1044.63, "end": 1044.89, "word": " إلا", "probability": 0.512481689453125}, {"start": 1044.89, "end": 1045.51, "word": " بالساقر", "probability": 0.5773681640625}, {"start": 1045.51, "end": 1045.91, "word": " plus", "probability": 0.2939453125}, {"start": 1045.91, "end": 1046.65, "word": " infinity", "probability": 0.8310546875}, {"start": 1046.65, "end": 1048.87, "word": " then", "probability": 0.34130859375}, {"start": 1048.87, "end": 1050.89, "word": " given", "probability": 0.544921875}, {"start": 1050.89, "end": 1052.73, "word": " Alpha", "probability": 0.328125}, {"start": 1052.73, "end": 1053.09, "word": " أي", "probability": 0.64892578125}, {"start": 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"probability": 0.59686279296875}, {"start": 1093.89, "end": 1095.17, "word": " ان", "probability": 0.67529296875}, {"start": 1095.17, "end": 1096.05, "word": " XM", "probability": 0.934326171875}, {"start": 1096.05, "end": 1096.75, "word": " أكبر", "probability": 0.9365234375}, {"start": 1096.75, "end": 1097.03, "word": " من", "probability": 0.99462890625}, {"start": 1097.03, "end": 1097.53, "word": " Alpha", "probability": 0.94970703125}, {"start": 1097.53, "end": 1097.89, "word": " في", "probability": 0.69189453125}, {"start": 1097.89, "end": 1098.55, "word": " YM", "probability": 0.976318359375}], "temperature": 1.0}, {"id": 38, "seek": 112735, "start": 1099.22, "end": 1127.36, "text": "لما عندي yn هنا موجبة لما أضرب الطرفين في yn التباينة إشارتها تبقى كما هي إذا أنا عندي الان الكلام هذا صحيح لكل n أكبر من أوسع كابتن الان الان by", "tokens": [1211, 15042, 18871, 16254, 17861, 34105, 3714, 29245, 49401, 5296, 15042, 5551, 11242, 25513, 41950, 28480, 9957, 8978, 17861, 16712, 3555, 995, 9957, 3660, 11933, 8592, 9640, 2655, 11296, 6055, 3555, 4587, 7578, 9122, 15042, 39896, 11933, 15730, 41850, 18871, 16254, 2423, 7649, 2423, 28820, 10943, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 297, 5551, 4117, 26890, 9154, 34051, 3794, 3615, 9122, 16758, 2655, 1863, 2423, 7649, 2423, 7649, 538], "avg_logprob": -0.27244718981460786, "compression_ratio": 1.6428571428571428, "no_speech_prob": 0.0, "words": [{"start": 1099.22, "end": 1099.62, "word": "لما", "probability": 0.5802001953125}, {"start": 1099.62, "end": 1100.06, "word": " عندي", "probability": 0.783935546875}, {"start": 1100.06, "end": 1100.48, "word": " yn", "probability": 0.179443359375}, {"start": 1100.48, "end": 1100.94, "word": " هنا", "probability": 0.84130859375}, {"start": 1100.94, "end": 1101.56, "word": " موجبة", "probability": 0.9529622395833334}, {"start": 1101.56, "end": 1102.02, "word": " لما", "probability": 0.720947265625}, {"start": 1102.02, "end": 1102.38, "word": " أضرب", "probability": 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0.6031494140625}, {"start": 1114.78, "end": 1117.02, "word": " الكلام", "probability": 0.9261067708333334}, {"start": 1117.02, "end": 1117.38, "word": " هذا", "probability": 0.92626953125}, {"start": 1117.38, "end": 1118.46, "word": " صحيح", "probability": 0.98095703125}, {"start": 1118.46, "end": 1119.2, "word": " لكل", "probability": 0.973388671875}, {"start": 1119.2, "end": 1119.56, "word": " n", "probability": 0.552734375}, {"start": 1119.56, "end": 1120.12, "word": " أكبر", "probability": 0.9578450520833334}, {"start": 1120.12, "end": 1120.34, "word": " من", "probability": 0.98486328125}, {"start": 1120.34, "end": 1120.88, "word": " أوسع", "probability": 0.7814127604166666}, {"start": 1120.88, "end": 1121.34, "word": " كابتن", "probability": 0.63238525390625}, {"start": 1121.34, "end": 1121.66, "word": " الان", "probability": 0.44427490234375}, {"start": 1121.66, "end": 1126.54, "word": " الان", "probability": 0.89208984375}, {"start": 1126.54, "end": 1127.36, "word": " by", "probability": 0.61083984375}], "temperature": 1.0}, {"id": 39, "seek": 114413, "start": 1129.93, "end": 1144.13, "text": "بمعنى الـ Direct Comparison Test بما انه limit yn بالساوي infinity", "tokens": [3555, 2304, 3615, 1863, 7578, 2423, 39184, 18308, 2432, 2181, 2770, 9279, 4724, 15042, 16472, 3224, 4948, 17861, 20666, 3794, 995, 45865, 13202], "avg_logprob": -0.7819010516007742, "compression_ratio": 0.9886363636363636, "no_speech_prob": 0.0, "words": [{"start": 1129.93, "end": 1130.53, "word": "بمعنى", "probability": 0.3841552734375}, {"start": 1130.53, "end": 1130.53, "word": " الـ", "probability": 0.24847412109375}, {"start": 1130.53, "end": 1131.01, "word": " Direct", "probability": 0.48876953125}, {"start": 1131.01, "end": 1131.93, "word": " Comparison", "probability": 0.9456380208333334}, {"start": 1131.93, "end": 1132.63, "word": " Test", "probability": 0.79248046875}, {"start": 1132.63, "end": 1136.93, "word": " بما", "probability": 0.50347900390625}, {"start": 1136.93, "end": 1137.69, "word": " انه", "probability": 0.563720703125}, {"start": 1137.69, "end": 1139.47, "word": " limit", "probability": 0.12445068359375}, {"start": 1139.47, "end": 1142.97, "word": " yn", "probability": 0.313720703125}, {"start": 1142.97, "end": 1143.63, "word": " بالساوي", "probability": 0.6134223937988281}, {"start": 1143.63, "end": 1144.13, "word": " infinity", "probability": 0.3642578125}], "temperature": 1.0}, {"id": 40, "seek": 118775, "start": 1165.13, "end": 1187.75, "text": "ناخد alpha في واحد ممكن اه ناخد alpha في واحد صح دي من ال alpha دي ثاني واحد يعني ثاني ال R مظبوط فده واحد وبتاني واحد", "tokens": [1863, 47283, 3215, 8961, 8978, 36764, 24401, 3714, 43020, 1975, 3224, 8717, 47283, 3215, 8961, 8978, 36764, 24401, 20328, 5016, 11778, 1829, 9154, 2423, 8961, 11778, 1829, 38637, 7649, 1829, 36764, 24401, 37495, 22653, 38637, 7649, 1829, 2423, 497, 3714, 19913, 3555, 2407, 9566, 6156, 3215, 3224, 36764, 24401, 46599, 2655, 7649, 1829, 36764, 24401], "avg_logprob": 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0.80087890625}, {"start": 1183.91, "end": 1185.53, "word": " فده", "probability": 0.585693359375}, {"start": 1185.53, "end": 1186.45, "word": " واحد", "probability": 0.989990234375}, {"start": 1186.45, "end": 1187.21, "word": " وبتاني", "probability": 0.666839599609375}, {"start": 1187.21, "end": 1187.75, "word": " واحد", "probability": 0.993896484375}], "temperature": 1.0}, {"id": 41, "seek": 120816, "start": 1188.56, "end": 1208.16, "text": "بما ان ال limit ل yn بساوي infinity نحن نحصل على limit ل xn بساوي infinity لان هذا بثبت الجزء الأول انت بدك الجزء التاني صح؟ طيب", "tokens": [3555, 15042, 16472, 2423, 4948, 5296, 288, 77, 4724, 3794, 995, 45865, 13202, 8717, 5016, 1863, 8717, 5016, 36520, 15844, 4948, 5296, 2031, 77, 4724, 3794, 995, 45865, 13202, 5296, 7649, 23758, 4724, 12984, 3555, 2655, 25724, 11622, 38207, 16247, 12610, 16472, 2655, 47525, 4117, 25724, 11622, 38207, 16712, 7649, 1829, 20328, 5016, 22807, 23032, 1829, 3555], "avg_logprob": -0.352909483786287, 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"word": " الجزء", "probability": 0.9772135416666666}, {"start": 1206.64, "end": 1207.06, "word": " التاني", "probability": 0.9397786458333334}, {"start": 1207.06, "end": 1207.7, "word": " صح؟", "probability": 0.8001302083333334}, {"start": 1207.7, "end": 1208.16, "word": " طيب", "probability": 0.9646809895833334}], "temperature": 1.0}, {"id": 42, "seek": 124448, "start": 1215.76, "end": 1244.48, "text": "بنشوف الجزء التاني إذا كانت ال sequence x in bounded فبنلمط y in بسرعه نصف طيب الجزء دي since x in is bounded إذن في عدد موجب", "tokens": [3555, 1863, 8592, 38688, 25724, 11622, 38207, 16712, 7649, 1829, 11933, 15730, 25961, 2655, 2423, 8310, 2031, 294, 37498, 6156, 3555, 1863, 1211, 2304, 9566, 288, 294, 4724, 3794, 2288, 3615, 3224, 8717, 9381, 5172, 23032, 1829, 3555, 25724, 11622, 38207, 11778, 1829, 1670, 2031, 294, 307, 37498, 11933, 8848, 1863, 8978, 6225, 3215, 3215, 3714, 29245, 3555], "avg_logprob": -0.4247881345829721, "compression_ratio": 1.3381294964028776, 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y", "probability": 0.1658935546875}, {"start": 1221.76, "end": 1222.18, "word": " in", "probability": 0.916015625}, {"start": 1222.18, "end": 1223.58, "word": " بسرعه", "probability": 0.481103515625}, {"start": 1223.58, "end": 1223.92, "word": " نصف", "probability": 0.4425862630208333}, {"start": 1223.92, "end": 1227.4, "word": " طيب", "probability": 0.7618001302083334}, {"start": 1227.4, "end": 1232.42, "word": " الجزء", "probability": 0.8525390625}, {"start": 1232.42, "end": 1233.66, "word": " دي", "probability": 0.945556640625}, {"start": 1233.66, "end": 1235.4, "word": " since", "probability": 0.67578125}, {"start": 1235.4, "end": 1237.96, "word": " x", "probability": 0.79638671875}, {"start": 1237.96, "end": 1238.62, "word": " in", "probability": 0.9111328125}, {"start": 1238.62, "end": 1239.22, "word": " is", "probability": 0.94580078125}, {"start": 1239.22, "end": 1239.86, "word": " bounded", "probability": 0.94482421875}, {"start": 1239.86, "end": 1243.34, "word": " إذن", 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بيطلع عندي absolute yn على xn minus ال zero أصغر من epsilon على n تمام؟", "tokens": [3615, 3215, 3215, 23032, 21292, 3615, 1829, 5296, 5016, 1829, 12984, 16472, 3224, 5296, 28820, 297, 5551, 4117, 26890, 9154, 34051, 3794, 3615, 2423, 4238, 426, 4724, 1829, 9566, 1211, 3615, 18871, 16254, 8236, 17861, 15844, 2031, 77, 3175, 2423, 4018, 5551, 9381, 17082, 2288, 9154, 17889, 15844, 297, 46811, 10943, 22807], "avg_logprob": -0.32547171160859883, "compression_ratio": 1.2328767123287672, "no_speech_prob": 0.0, "words": [{"start": 1418.73, "end": 1419.29, "word": "عدد", "probability": 0.65008544921875}, {"start": 1419.29, "end": 1420.09, "word": " طبيعي", "probability": 0.92578125}, {"start": 1420.09, "end": 1421.43, "word": " لحيث", "probability": 0.82421875}, {"start": 1421.43, "end": 1423.21, "word": " انه", "probability": 0.7841796875}, {"start": 1423.21, "end": 1424.81, "word": " لكل", "probability": 0.951171875}, {"start": 1424.81, "end": 1425.37, "word": " n", "probability": 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"text": "لو كان n أكبر من أو ساوي capital N بتثبت أن ال absolute value ل y in minus 0 أصغر من epsilon عشان أثبت أن ال limit ل y in بساوي سفر بتثبت أن ال absolute value ل y in minus 0 أصغر من ال given epsilon طيب هذا بساوي absolute", "tokens": [1211, 2407, 25961, 297, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 4238, 426, 39894, 12984, 3555, 2655, 14739, 2423, 8236, 2158, 5296, 288, 294, 3175, 1958, 5551, 9381, 17082, 2288, 9154, 17889, 6225, 8592, 7649, 5551, 12984, 3555, 2655, 14739, 2423, 4948, 5296, 288, 294, 4724, 3794, 995, 45865, 8608, 5172, 2288, 39894, 12984, 3555, 2655, 14739, 2423, 8236, 2158, 5296, 288, 294, 3175, 1958, 5551, 9381, 17082, 2288, 9154, 2423, 2212, 17889, 23032, 1829, 3555, 23758, 4724, 3794, 995, 45865, 8236], "avg_logprob": -0.2639508992433548, "compression_ratio": 1.8313253012048192, "no_speech_prob": 0.0, "words": [{"start": 1475.6399999999999, "end": 1476.36, "word": "لو", "probability": 0.3331298828125}, {"start": 1476.36, "end": 1476.82, "word": " 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2544.05, "end": 2544.71, "word": " أخدنا", "probability": 0.9825439453125}, {"start": 2544.71, "end": 2544.71, "word": " هذا", "probability": 0.83203125}, {"start": 2544.71, "end": 2545.97, "word": " و", "probability": 0.92822265625}, {"start": 2545.97, "end": 2547.91, "word": " أخدنا", "probability": 0.982177734375}, {"start": 2547.91, "end": 2548.33, "word": " هذا", "probability": 0.7998046875}, {"start": 2548.33, "end": 2548.59, "word": " و", "probability": 0.919921875}, {"start": 2548.59, "end": 2553.83, "word": " أخدنا", "probability": 0.982177734375}, {"start": 2553.83, "end": 2553.83, "word": " هذا", "probability": 0.79150390625}, {"start": 2553.83, "end": 2554.29, "word": " و", "probability": 0.916015625}, {"start": 2554.29, "end": 2555.99, "word": " أ", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 88, "seek": 258438, "start": 2556.8, "end": 2584.38, "text": "وحد على X لما X تقول لسفر does not exist in R فلبرحان ذلك let F of X تساوي صين واحد على X و X لا تساوي سفر", "tokens": [2407, 24401, 15844, 1783, 5296, 15042, 1783, 6055, 39648, 5296, 3794, 5172, 2288, 775, 406, 2514, 294, 497, 6156, 46152, 2288, 5016, 7649, 29910, 23275, 718, 479, 295, 1783, 6055, 3794, 995, 45865, 20328, 9957, 36764, 24401, 15844, 1783, 4032, 1783, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288], "avg_logprob": -0.31124999761581423, "compression_ratio": 1.272, "no_speech_prob": 0.0, "words": [{"start": 2556.8, "end": 2557.52, "word": "وحد", "probability": 0.2965087890625}, {"start": 2557.52, "end": 2557.84, "word": " على", "probability": 0.421142578125}, {"start": 2557.84, "end": 2558.34, "word": " X", "probability": 0.32470703125}, {"start": 2558.34, "end": 2559.94, "word": " لم��", "probability": 0.757568359375}, {"start": 2559.94, "end": 2560.54, "word": " X", "probability": 0.92138671875}, {"start": 2560.54, "end": 2561.06, "word": " تقول", "probability": 0.94775390625}, {"start": 2561.06, "end": 2561.76, "word": " لسفر", "probability": 0.739501953125}, {"start": 2561.76, "end": 2563.88, "word": " does", "probability": 0.2315673828125}, {"start": 2563.88, "end": 2564.26, "word": " not", "probability": 0.966796875}, {"start": 2564.26, "end": 2564.9, "word": " exist", "probability": 0.97021484375}, {"start": 2564.9, "end": 2566.64, "word": " in", "probability": 0.55615234375}, {"start": 2566.64, "end": 2567.08, "word": " R", "probability": 0.98974609375}, {"start": 2567.08, "end": 2570.4, "word": " فلبرحان", "probability": 0.78544921875}, {"start": 2570.4, "end": 2573.0, "word": " ذلك", "probability": 0.992919921875}, {"start": 2573.0, "end": 2576.7, "word": " let", "probability": 0.513671875}, {"start": 2576.7, "end": 2577.04, "word": " F", "probability": 0.625}, {"start": 2577.04, "end": 2577.32, "word": " of", "probability": 0.65673828125}, {"start": 2577.32, "end": 2577.78, "word": " X", "probability": 0.99072265625}, {"start": 2577.78, "end": 2579.48, "word": " تساوي", "probability": 0.709716796875}, {"start": 2579.48, "end": 2580.2, "word": " صين", "probability": 0.6494140625}, {"start": 2580.2, "end": 2580.8, "word": " واحد", "probability": 0.931884765625}, {"start": 2580.8, "end": 2581.0, "word": " على", "probability": 0.7900390625}, {"start": 2581.0, "end": 2581.46, "word": " X", "probability": 0.9912109375}, {"start": 2581.46, "end": 2582.76, "word": " و", "probability": 0.7822265625}, {"start": 2582.76, "end": 2583.08, "word": " X", "probability": 0.74072265625}, {"start": 2583.08, "end": 2583.38, "word": " لا", "probability": 0.64013671875}, {"start": 2583.38, "end": 2583.92, "word": " تساوي", "probability": 0.9666748046875}, {"start": 2583.92, "end": 2584.38, "word": " سفر", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 89, "seek": 261803, "start": 2590.73, "end": 2618.03, "text": "و بعدين we consider two sequences واحدة xn الحد لعام تبعها أدارة عن واحد على واحد على n πاي و n ينتمي ل z", "tokens": [2407, 39182, 9957, 321, 1949, 732, 22978, 36764, 24401, 3660, 2031, 77, 21542, 3215, 5296, 3615, 10943, 6055, 3555, 3615, 11296, 5551, 3215, 9640, 3660, 18871, 36764, 24401, 15844, 36764, 24401, 15844, 297, 4654, 47302, 4032, 297, 7251, 29399, 2304, 1829, 5296, 710], "avg_logprob": -0.3643466044556011, "compression_ratio": 1.2903225806451613, "no_speech_prob": 0.0, "words": [{"start": 2590.73, "end": 2590.93, "word": "و", "probability": 0.4560546875}, {"start": 2590.93, "end": 2591.63, "word": " بعدين", "probability": 0.911865234375}, {"start": 2591.63, "end": 2591.79, "word": " we", "probability": 0.097412109375}, {"start": 2591.79, "end": 2592.65, "word": " consider", "probability": 0.87060546875}, {"start": 2592.65, "end": 2596.21, "word": " two", "probability": 0.84423828125}, {"start": 2596.21, "end": 2597.15, "word": " sequences", "probability": 0.92236328125}, {"start": 2597.15, "end": 2600.87, "word": " واحدة", "probability": 0.8240559895833334}, {"start": 2600.87, "end": 2601.79, "word": " xn", "probability": 0.67529296875}, {"start": 2601.79, "end": 2603.37, "word": " الحد", "probability": 0.5775146484375}, {"start": 2603.37, "end": 2603.75, "word": " لعام", "probability": 0.4561360677083333}, {"start": 2603.75, "end": 2604.89, "word": " تبعها", "probability": 0.8790283203125}, {"start": 2604.89, "end": 2606.19, "word": " أدارة", "probability": 0.70977783203125}, {"start": 2606.19, "end": 2606.59, "word": " عن", "probability": 0.9287109375}, {"start": 2606.59, "end": 2607.35, "word": " واحد", "probability": 0.9716796875}, {"start": 2607.35, "end": 2607.75, "word": " على", "probability": 0.7880859375}, {"start": 2607.75, "end": 2613.75, "word": " واحد", "probability": 0.7978515625}, {"start": 2613.75, "end": 2613.97, "word": " على", "probability": 0.81591796875}, {"start": 2613.97, "end": 2614.35, "word": " n", "probability": 0.67919921875}, {"start": 2614.35, "end": 2615.03, "word": " πاي", "probability": 0.3638916015625}, {"start": 2615.03, "end": 2616.61, "word": " و", "probability": 0.87548828125}, {"start": 2616.61, "end": 2616.87, "word": " n", "probability": 0.71240234375}, {"start": 2616.87, "end": 2617.59, "word": " ينتمي", "probability": 0.910400390625}, {"start": 2617.59, "end": 2617.71, "word": " ل", "probability": 0.87939453125}, {"start": 2617.71, "end": 2618.03, "word": " z", "probability": 0.6982421875}], "temperature": 1.0}, {"id": 90, "seek": 264130, "start": 2621.72, "end": 2641.3, "text": "و Yn لحد الآن تبعها واحد على πاي على تمين زاد اتنين N πاي و N ينتمي الى Z هذا عبارة عن Sequences of positive numbers", "tokens": [2407, 398, 77, 5296, 24401, 6024, 48506, 6055, 3555, 3615, 11296, 36764, 24401, 15844, 4654, 47302, 15844, 46811, 9957, 30767, 18513, 1975, 2655, 1863, 9957, 426, 4654, 47302, 4032, 426, 7251, 29399, 2304, 1829, 2423, 7578, 1176, 23758, 6225, 3555, 9640, 3660, 18871, 46859, 2667, 295, 3353, 3547], "avg_logprob": -0.4276147959183674, "compression_ratio": 1.2661870503597121, "no_speech_prob": 0.0, "words": [{"start": 2621.72, "end": 2622.12, "word": "و", "probability": 0.765625}, {"start": 2622.12, "end": 2623.14, "word": " Yn", "probability": 0.32305908203125}, {"start": 2623.14, "end": 2623.62, "word": " لحد", "probability": 0.5609130859375}, {"start": 2623.62, "end": 2623.88, "word": " الآن", "probability": 0.6661376953125}, {"start": 2623.88, "end": 2624.48, "word": " تبعها", "probability": 0.8472900390625}, {"start": 2624.48, "end": 2624.88, "word": " واحد", "probability": 0.844970703125}, {"start": 2624.88, "end": 2625.22, "word": " على", "probability": 0.6611328125}, {"start": 2625.22, "end": 2625.88, "word": " πاي", "probability": 0.3236083984375}, {"start": 2625.88, "end": 2626.76, "word": " على", "probability": 0.31298828125}, {"start": 2626.76, "end": 2627.16, "word": " تمين", "probability": 0.640869140625}, {"start": 2627.16, "end": 2627.62, "word": " زاد", "probability": 0.873291015625}, {"start": 2627.62, "end": 2628.2, "word": " اتنين", "probability": 0.9676513671875}, {"start": 2628.2, "end": 2628.54, "word": " N", "probability": 0.1737060546875}, {"start": 2628.54, "end": 2629.1, "word": " πاي", "probability": 0.515625}, {"start": 2629.1, "end": 2630.48, "word": " و", "probability": 0.8623046875}, {"start": 2630.48, "end": 2630.8, "word": " N", "probability": 0.62548828125}, {"start": 2630.8, "end": 2631.7, "word": " ينتمي", "probability": 0.9432373046875}, {"start": 2631.7, "end": 2632.06, "word": " الى", "probability": 0.689208984375}, {"start": 2632.06, "end": 2632.34, "word": " Z", "probability": 0.8193359375}, {"start": 2632.34, "end": 2634.68, "word": " هذا", "probability": 0.45703125}, {"start": 2634.68, "end": 2634.98, "word": " عبارة", "probability": 0.9815673828125}, {"start": 2634.98, "end": 2635.16, "word": " عن", "probability": 0.98876953125}, {"start": 2635.16, "end": 2636.02, "word": " Sequences", "probability": 0.560302734375}, {"start": 2636.02, "end": 2637.76, "word": " of", "probability": 0.71630859375}, {"start": 2637.76, "end": 2640.66, "word": " positive", "probability": 0.87109375}, {"start": 2640.66, "end": 2641.3, "word": " numbers", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 91, "seek": 267369, "start": 2644.95, "end": 2673.69, "text": "واضح ان ال limit ل xn as n tends to infinity بساوي 0 وكذلك ال limit ل yn لما n تقول infinity برضه بساوي 0 لان المقان لما n تقول infinity المقان بيروح ل infinity طيب الآن ال limit", "tokens": [2407, 46958, 5016, 16472, 2423, 4948, 5296, 2031, 77, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 45865, 1958, 4032, 4117, 8848, 23275, 2423, 4948, 5296, 17861, 5296, 15042, 297, 6055, 39648, 13202, 4724, 43042, 3224, 4724, 3794, 995, 45865, 1958, 5296, 7649, 9673, 4587, 7649, 5296, 15042, 297, 6055, 39648, 13202, 9673, 4587, 7649, 4724, 13546, 2407, 5016, 5296, 13202, 23032, 1829, 3555, 6024, 48506, 2423, 4948], "avg_logprob": -0.3405797118725984, "compression_ratio": 1.7816901408450705, "no_speech_prob": 0.0, "words": [{"start": 2644.95, "end": 2645.59, "word": "واضح", "probability": 0.9402669270833334}, {"start": 2645.59, "end": 2645.87, "word": " ان", "probability": 0.517578125}, {"start": 2645.87, "end": 2647.03, "word": " ال", "probability": 0.29638671875}, {"start": 2647.03, "end": 2647.39, "word": " limit", "probability": 0.5751953125}, {"start": 2647.39, "end": 2648.69, "word": " ل", "probability": 0.54931640625}, {"start": 2648.69, "end": 2649.55, "word": " xn", "probability": 0.18341064453125}, {"start": 2649.55, "end": 2650.15, "word": " as", "probability": 0.7900390625}, {"start": 2650.15, "end": 2650.51, "word": " n", "probability": 0.83642578125}, {"start": 2650.51, "end": 2650.81, "word": " tends", "probability": 0.59130859375}, {"start": 2650.81, "end": 2650.93, "word": " to", "probability": 0.94580078125}, {"start": 2650.93, "end": 2651.41, "word": " infinity", "probability": 0.84716796875}, {"start": 2651.41, "end": 2652.13, "word": " بساوي", "probability": 0.7550048828125}, {"start": 2652.13, "end": 2652.49, "word": " 0", "probability": 0.470458984375}, {"start": 2652.49, "end": 2654.85, "word": " وكذلك", "probability": 0.8287353515625}, {"start": 2654.85, "end": 2655.11, "word": " ال", "probability": 0.36865234375}, {"start": 2655.11, "end": 2655.43, "word": " limit", "probability": 0.97900390625}, {"start": 2655.43, "end": 2657.29, "word": " ل", "probability": 0.95947265625}, {"start": 2657.29, "end": 2658.05, "word": " yn", "probability": 0.5576171875}, {"start": 2658.05, "end": 2658.59, "word": " لما", "probability": 0.806640625}, {"start": 2658.59, "end": 2658.87, "word": " n", "probability": 0.27587890625}, {"start": 2658.87, "end": 2659.27, "word": " تقول", "probability": 0.852294921875}, {"start": 2659.27, "end": 2659.53, "word": " infinity", "probability": 0.3798828125}, {"start": 2659.53, "end": 2660.29, "word": " برضه", "probability": 0.8165690104166666}, {"start": 2660.29, "end": 2660.77, "word": " بساوي", "probability": 0.966064453125}, {"start": 2660.77, "end": 2661.15, "word": " 0", "probability": 0.9208984375}, {"start": 2661.15, "end": 2662.27, "word": " لان", "probability": 0.6527099609375}, {"start": 2662.27, "end": 2662.91, "word": " المقان", "probability": 0.6102701822916666}, {"start": 2662.91, "end": 2663.41, "word": " لما", "probability": 0.93603515625}, {"start": 2663.41, "end": 2663.61, "word": " n", "probability": 0.55712890625}, {"start": 2663.61, "end": 2663.81, "word": " تقول", "probability": 0.98681640625}, {"start": 2663.81, "end": 2664.27, "word": " infinity", "probability": 0.873046875}, {"start": 2664.27, "end": 2664.73, "word": " المقان", "probability": 0.8548177083333334}, {"start": 2664.73, "end": 2665.03, "word": " بيروح", "probability": 0.864013671875}, {"start": 2665.03, "end": 2665.13, "word": " ل", "probability": 0.75390625}, {"start": 2665.13, "end": 2665.59, "word": " infinity", "probability": 0.611328125}, {"start": 2665.59, "end": 2672.09, "word": " طيب", "probability": 0.9269205729166666}, {"start": 2672.09, "end": 2672.59, "word": " الآن", "probability": 0.6302490234375}, {"start": 2672.59, "end": 2673.31, "word": " ال", "probability": 0.411376953125}, {"start": 2673.31, "end": 2673.69, "word": " limit", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 92, "seek": 270562, "start": 2677.86, "end": 2705.62, "text": "الـ image لـ sequence xn لما n تقول الانفلتين بساوي ال limit ل sign xn لما n تقول الانفلتين وهذا بساوي ال limit ل sign n في pi لما n تقول الانفلتين", "tokens": [6027, 39184, 3256, 5296, 39184, 8310, 2031, 77, 5296, 15042, 297, 6055, 39648, 2423, 7649, 5172, 1211, 2655, 9957, 4724, 3794, 995, 45865, 2423, 4948, 5296, 1465, 2031, 77, 5296, 15042, 297, 6055, 39648, 2423, 7649, 5172, 1211, 2655, 9957, 37037, 15730, 4724, 3794, 995, 45865, 2423, 4948, 5296, 1465, 297, 8978, 3895, 5296, 15042, 297, 6055, 39648, 2423, 7649, 5172, 1211, 2655, 9957], "avg_logprob": -0.2639423076923077, "compression_ratio": 2.0, "no_speech_prob": 0.0, "words": [{"start": 2677.86, "end": 2678.46, "word": "الـ", "probability": 0.5634765625}, {"start": 2678.46, "end": 2678.78, "word": " image", "probability": 0.52880859375}, {"start": 2678.78, "end": 2679.08, "word": " لـ", "probability": 0.583740234375}, {"start": 2679.08, "end": 2679.62, "word": " sequence", "probability": 0.9052734375}, {"start": 2679.62, "end": 2680.46, "word": " xn", "probability": 0.48663330078125}, {"start": 2680.46, "end": 2680.82, "word": " لما", "probability": 0.824462890625}, {"start": 2680.82, "end": 2681.16, "word": " n", "probability": 0.50830078125}, {"start": 2681.16, "end": 2681.58, "word": " تقول", "probability": 0.91259765625}, {"start": 2681.58, "end": 2682.42, "word": " الانفلتين", "probability": 0.58660888671875}, {"start": 2682.42, "end": 2684.06, "word": " بساوي", "probability": 0.815673828125}, {"start": 2684.06, "end": 2685.32, "word": " ال", "probability": 0.476806640625}, {"start": 2685.32, "end": 2685.8, "word": " limit", "probability": 0.88818359375}, {"start": 2685.8, "end": 2687.7, "word": " ل", "probability": 0.9482421875}, {"start": 2687.7, "end": 2688.36, "word": " sign", "probability": 0.194580078125}, {"start": 2688.36, "end": 2690.78, "word": " xn", "probability": 0.945556640625}, {"start": 2690.78, "end": 2691.48, "word": " لما", "probability": 0.958984375}, {"start": 2691.48, "end": 2691.74, "word": " n", "probability": 0.849609375}, {"start": 2691.74, "end": 2692.14, "word": " تقول", "probability": 0.9853515625}, {"start": 2692.14, "end": 2693.0, "word": " الانفلتين", "probability": 0.97265625}, {"start": 2693.0, "end": 2695.5, "word": " وهذا", "probability": 0.7181396484375}, {"start": 2695.5, "end": 2696.06, "word": " بساوي", "probability": 0.9241943359375}, {"start": 2696.06, "end": 2696.22, "word": " ال", "probability": 0.482421875}, {"start": 2696.22, "end": 2696.58, "word": " limit", "probability": 0.96728515625}, {"start": 2696.58, "end": 2699.06, "word": " ل", "probability": 0.96533203125}, {"start": 2699.06, "end": 2699.88, "word": " sign", "probability": 0.8701171875}, {"start": 2699.88, "end": 2701.58, "word": " n", "probability": 0.84228515625}, {"start": 2701.58, "end": 2701.8, "word": " في", "probability": 0.9677734375}, {"start": 2701.8, "end": 2702.2, "word": " pi", "probability": 0.2412109375}, {"start": 2702.2, "end": 2704.04, "word": " لما", "probability": 0.97021484375}, {"start": 2704.04, "end": 2704.36, "word": " n", "probability": 0.9404296875}, {"start": 2704.36, "end": 2704.74, "word": " تقول", "probability": 0.989013671875}, {"start": 2704.74, "end": 2705.62, "word": " الانفلتين", "probability": 0.9806315104166666}], "temperature": 1.0}, {"id": 93, "seek": 273260, "start": 2706.34, "end": 2732.6, "text": "Sin N في Pi بساوي واحد بساوي سفر لكل N وبالتالي هذا بساوي limit ال sequence سفر لما N طولة infinity بساوي سفر and limit", "tokens": [50, 259, 426, 8978, 17741, 4724, 3794, 995, 45865, 36764, 24401, 4724, 3794, 995, 45865, 8608, 5172, 2288, 5296, 28820, 426, 46599, 6027, 2655, 6027, 1829, 23758, 4724, 3794, 995, 45865, 4948, 2423, 8310, 8608, 5172, 2288, 5296, 15042, 426, 23032, 12610, 3660, 13202, 4724, 3794, 995, 45865, 8608, 5172, 2288, 293, 4948], "avg_logprob": -0.2511574212047789, "compression_ratio": 1.416, "no_speech_prob": 0.0, "words": [{"start": 2706.34, "end": 2707.2, "word": "Sin", "probability": 0.47308349609375}, {"start": 2707.2, "end": 2707.64, "word": " N", "probability": 0.2371826171875}, {"start": 2707.64, "end": 2707.98, "word": " في", "probability": 0.7041015625}, {"start": 2707.98, "end": 2708.38, "word": " Pi", "probability": 0.22900390625}, {"start": 2708.38, "end": 2709.74, "word": " بساوي", "probability": 0.7806396484375}, {"start": 2709.74, "end": 2710.6, "word": " واحد", "probability": 0.859619140625}, {"start": 2710.6, "end": 2712.0, "word": " بساوي", "probability": 0.875732421875}, {"start": 2712.0, "end": 2712.36, "word": " سفر", "probability": 0.8759765625}, {"start": 2712.36, "end": 2713.48, "word": " لكل", "probability": 0.96435546875}, {"start": 2713.48, "end": 2713.8, "word": " N", "probability": 0.90869140625}, {"start": 2713.8, "end": 2716.3, "word": " وبالتالي", "probability": 0.91611328125}, {"start": 2716.3, "end": 2716.58, "word": " هذا", "probability": 0.9140625}, {"start": 2716.58, "end": 2717.34, "word": " بساوي", "probability": 0.9703369140625}, {"start": 2717.34, "end": 2717.86, "word": " limit", "probability": 0.73876953125}, {"start": 2717.86, "end": 2718.82, "word": " ال", "probability": 0.1949462890625}, {"start": 2718.82, "end": 2719.32, "word": " sequence", "probability": 0.8310546875}, {"start": 2719.32, "end": 2719.98, "word": " سفر", "probability": 0.8167317708333334}, {"start": 2719.98, "end": 2720.86, "word": " لما", "probability": 0.796142578125}, {"start": 2720.86, "end": 2721.16, "word": " N", "probability": 0.8466796875}, {"start": 2721.16, "end": 2721.64, "word": " طولة", "probability": 0.6769205729166666}, {"start": 2721.64, "end": 2722.14, "word": " infinity", "probability": 0.58984375}, {"start": 2722.14, "end": 2723.68, "word": " بساوي", "probability": 0.954345703125}, {"start": 2723.68, "end": 2725.24, "word": " سفر", "probability": 0.9772135416666666}, {"start": 2725.24, "end": 2726.68, "word": " and", "probability": 0.65234375}, {"start": 2726.68, "end": 2732.6, "word": " limit", "probability": 0.9248046875}], "temperature": 1.0}, {"id": 94, "seek": 274136, "start": 2733.9, "end": 2741.36, "text": "الإمج للسيكوينس YM لما N تقول انفينيتي بساوي limit", "tokens": [6027, 28814, 2304, 7435, 24976, 3794, 1829, 4117, 2407, 9957, 3794, 398, 44, 5296, 15042, 426, 6055, 39648, 16472, 5172, 9957, 1829, 31371, 4724, 3794, 995, 45865, 4948], "avg_logprob": -0.6099137684394573, "compression_ratio": 1.024390243902439, "no_speech_prob": 0.0, "words": [{"start": 2733.9, "end": 2734.68, "word": "الإمج", "probability": 0.508209228515625}, {"start": 2734.68, "end": 2735.64, "word": " للسيكوينس", "probability": 0.6970738002232143}, {"start": 2735.64, "end": 2736.58, "word": " YM", "probability": 0.2542724609375}, {"start": 2736.58, "end": 2738.04, "word": " لما", "probability": 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2769.85, "word": " المفروض", "probability": 0.6524658203125}, {"start": 2769.85, "end": 2770.21, "word": " يكون", "probability": 0.90283203125}, {"start": 2770.21, "end": 2776.37, "word": " sign", "probability": 0.1986083984375}, {"start": 2776.37, "end": 2776.93, "word": " 1", "probability": 0.402587890625}, {"start": 2776.93, "end": 2777.45, "word": " على", "probability": 0.501953125}, {"start": 2777.45, "end": 2778.27, "word": " xn", "probability": 0.494873046875}, {"start": 2778.27, "end": 2779.83, "word": " وهذا", "probability": 0.6228841145833334}, {"start": 2779.83, "end": 2780.33, "word": " المفروض", "probability": 0.9747314453125}, {"start": 2780.33, "end": 2780.71, "word": " يكون", "probability": 0.938720703125}, {"start": 2780.71, "end": 2781.29, "word": " sign", "probability": 0.8583984375}, {"start": 2781.29, "end": 2781.77, "word": " 1", "probability": 0.91015625}, {"start": 2781.77, "end": 2782.27, "word": " على", "probability": 0.89208984375}, {"start": 2782.27, "end": 2782.83, "word": " yn", "probability": 0.60205078125}], "temperature": 1.0}, {"id": 96, "seek": 280890, "start": 2783.48, "end": 2808.9, "text": "مقلوب y in بيطلع بساوي πاية اتنين ازايد اتنين in πاية وهذا المقدار دايما بساوي واحد لكل in اذا انا في عندي limit لل sequence بالحد العام تبعها واحد", "tokens": [2304, 4587, 1211, 37746, 288, 294, 4724, 1829, 9566, 1211, 3615, 4724, 3794, 995, 45865, 4654, 995, 10632, 1975, 2655, 1863, 9957, 1975, 11622, 995, 25708, 1975, 2655, 1863, 9957, 294, 4654, 995, 10632, 37037, 15730, 9673, 28543, 9640, 11778, 47302, 15042, 4724, 3794, 995, 45865, 36764, 24401, 5296, 28820, 294, 1975, 15730, 1975, 8315, 8978, 18871, 16254, 4948, 24976, 8310, 20666, 24401, 18863, 10943, 6055, 3555, 3615, 11296, 36764, 24401], "avg_logprob": -0.3439670205116272, "compression_ratio": 1.5569620253164558, "no_speech_prob": 0.0, "words": [{"start": 2783.48, "end": 2784.14, "word": "مقلوب", "probability": 0.7713623046875}, {"start": 2784.14, "end": 2784.44, "word": " y", "probability": 0.2183837890625}, {"start": 2784.44, "end": 2784.84, "word": " in", "probability": 0.422119140625}, {"start": 2784.84, "end": 2785.88, "word": " بيطلع", "probability": 0.652197265625}, {"start": 2785.88, "end": 2786.68, "word": " بساوي", "probability": 0.8564453125}, {"start": 2786.68, "end": 2788.1, "word": " πاية", "probability": 0.4497884114583333}, {"start": 2788.1, "end": 2788.76, "word": " اتنين", "probability": 0.901611328125}, {"start": 2788.76, "end": 2789.86, "word": " ازايد", "probability": 0.63751220703125}, {"start": 2789.86, "end": 2790.58, "word": " اتنين", "probability": 0.9337158203125}, {"start": 2790.58, "end": 2790.94, "word": " in", "probability": 0.51416015625}, {"start": 2790.94, "end": 2791.5, "word": " πاية", "probability": 0.6826985677083334}, {"start": 2791.5, "end": 2794.54, "word": " وهذا", "probability": 0.744140625}, {"start": 2794.54, "end": 2795.56, "word": " المقدار", "probability": 0.95703125}, {"start": 2795.56, "end": 2796.16, "word": " دايما", "probability": 0.8343098958333334}, {"start": 2796.16, "end": 2798.94, "word": " بساوي", "probability": 0.71673583984375}, {"start": 2798.94, "end": 2800.28, "word": " واحد", "probability": 0.982421875}, {"start": 2800.28, "end": 2800.98, "word": " لكل", "probability": 0.96826171875}, {"start": 2800.98, "end": 2801.3, "word": " in", "probability": 0.7724609375}, {"start": 2801.3, "end": 2803.36, "word": " اذا", "probability": 0.687255859375}, {"start": 2803.36, "end": 2803.6, "word": " انا", "probability": 0.849853515625}, {"start": 2803.6, "end": 2803.74, "word": " في", "probability": 0.3037109375}, {"start": 2803.74, "end": 2804.04, "word": " عندي", "probability": 0.59149169921875}, {"start": 2804.04, "end": 2804.62, "word": " limit", "probability": 0.77880859375}, {"start": 2804.62, "end": 2806.14, "word": " لل", "probability": 0.6923828125}, {"start": 2806.14, "end": 2806.66, "word": " sequence", "probability": 0.7734375}, {"start": 2806.66, "end": 2807.26, "word": " بالحد", "probability": 0.639404296875}, {"start": 2807.26, "end": 2807.7, "word": " العام", "probability": 0.701416015625}, {"start": 2807.7, "end": 2808.28, "word": " تبعها", "probability": 0.9071044921875}, {"start": 2808.28, "end": 2808.9, "word": " واحد", "probability": 0.985595703125}], "temperature": 1.0}, {"id": 97, "seek": 283731, "start": 2810.77, "end": 2837.31, "text": "السيكوانس تابعة واحد وهذا بالساوية واحد ان ان انا في عندي two sequences Xm تقولها سفر و limit صورتها بالساوية سفر و في عندي سيكوانس تانية Ym ال limit تبعتها ايضا بالساوية سفر لكن limit صورتها بالساوية واحد وبالتالي", "tokens": [6027, 3794, 1829, 4117, 2407, 7649, 3794, 6055, 16758, 27884, 36764, 24401, 37037, 15730, 20666, 3794, 995, 2407, 10632, 36764, 24401, 16472, 16472, 1975, 8315, 8978, 18871, 16254, 732, 22978, 1783, 76, 6055, 39648, 11296, 8608, 5172, 2288, 4032, 4948, 20328, 13063, 2655, 11296, 20666, 3794, 995, 2407, 10632, 8608, 5172, 2288, 4032, 8978, 18871, 16254, 8608, 1829, 4117, 2407, 7649, 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"end": 2824.55, "word": " بالساوية", "probability": 0.96357421875}, {"start": 2824.55, "end": 2824.99, "word": " سفر", "probability": 0.95263671875}, {"start": 2824.99, "end": 2826.01, "word": " و", "probability": 0.93212890625}, {"start": 2826.01, "end": 2826.13, "word": " في", "probability": 0.5625}, {"start": 2826.13, "end": 2826.39, "word": " عندي", "probability": 0.959228515625}, {"start": 2826.39, "end": 2826.91, "word": " سيكوانس", "probability": 0.8582356770833334}, {"start": 2826.91, "end": 2827.25, "word": " تانية", "probability": 0.9622395833333334}, {"start": 2827.25, "end": 2827.99, "word": " Ym", "probability": 0.5626220703125}, {"start": 2827.99, "end": 2828.83, "word": " ال", "probability": 0.297119140625}, {"start": 2828.83, "end": 2829.05, "word": " limit", "probability": 0.91162109375}, {"start": 2829.05, "end": 2829.51, "word": " تبعتها", "probability": 0.7576904296875}, {"start": 2829.51, "end": 2829.79, "word": " ايضا", "probability": 0.82843017578125}, {"start": 2829.79, "end": 2830.31, "word": " بالساوية", "probability": 0.973828125}, {"start": 2830.31, "end": 2830.79, "word": " سفر", "probability": 0.9928385416666666}, {"start": 2830.79, "end": 2832.29, "word": " لكن", "probability": 0.86474609375}, {"start": 2832.29, "end": 2832.63, "word": " limit", "probability": 0.7080078125}, {"start": 2832.63, "end": 2833.15, "word": " صورتها", "probability": 0.978759765625}, {"start": 2833.15, "end": 2833.65, "word": " بالساوية", "probability": 0.96494140625}, {"start": 2833.65, "end": 2834.21, "word": " واحد", "probability": 0.994384765625}, {"start": 2834.21, "end": 2837.31, "word": " وبالتالي", "probability": 0.90029296875}], "temperature": 1.0}, {"id": 98, "seek": 286834, "start": 2840.36, "end": 2868.34, "text": "by sequential criterion ال limit لل function f of x لما x تقول ل0 does not exist in R مش ممكن تكون موجودة في R لأن لو كانت ال limit هذه موجودة", "tokens": [2322, 42881, 46691, 2423, 4948, 24976, 2445, 283, 295, 2031, 5296, 15042, 2031, 6055, 39648, 5296, 15, 775, 406, 2514, 294, 497, 37893, 3714, 43020, 6055, 30544, 3714, 29245, 23328, 3660, 8978, 497, 5296, 33456, 45164, 25961, 2655, 2423, 4948, 29538, 3714, 29245, 23328, 3660], "avg_logprob": -0.2778532679962075, "compression_ratio": 1.2972972972972974, "no_speech_prob": 0.0, "words": [{"start": 2840.36, "end": 2840.86, "word": "by", "probability": 0.0987548828125}, {"start": 2840.86, "end": 2841.9, "word": " sequential", "probability": 0.7568359375}, {"start": 2841.9, "end": 2842.78, "word": " criterion", "probability": 0.96142578125}, {"start": 2842.78, "end": 2848.34, "word": " ال", "probability": 0.30517578125}, {"start": 2848.34, "end": 2848.76, "word": " limit", "probability": 0.52490234375}, {"start": 2848.76, "end": 2850.08, "word": " لل", "probability": 0.7666015625}, {"start": 2850.08, "end": 2850.58, "word": " function", "probability": 0.59765625}, {"start": 2850.58, "end": 2851.06, "word": " f", "probability": 0.84521484375}, {"start": 2851.06, "end": 2851.32, "word": " of", "probability": 0.3955078125}, {"start": 2851.32, "end": 2851.72, "word": " x", "probability": 0.9248046875}, {"start": 2851.72, "end": 2852.76, "word": " لما", "probability": 0.689453125}, {"start": 2852.76, "end": 2853.1, "word": " x", "probability": 0.84033203125}, {"start": 2853.1, "end": 2853.5, "word": " تقول", "probability": 0.72119140625}, {"start": 2853.5, "end": 2854.12, "word": " ل0", "probability": 0.37615966796875}, {"start": 2854.12, "end": 2855.14, "word": " does", "probability": 0.69970703125}, {"start": 2855.14, "end": 2855.48, "word": " not", "probability": 0.96484375}, {"start": 2855.48, "end": 2856.08, "word": " exist", "probability": 0.96435546875}, {"start": 2856.08, "end": 2856.56, "word": " in", "probability": 0.92431640625}, {"start": 2856.56, "end": 2857.04, "word": " R", "probability": 0.92822265625}, {"start": 2857.04, "end": 2858.2, "word": " مش", "probability": 0.2486572265625}, {"start": 2858.2, "end": 2858.44, "word": " ممكن", "probability": 0.989013671875}, {"start": 2858.44, "end": 2858.88, "word": " تكون", "probability": 0.984619140625}, {"start": 2858.88, "end": 2859.68, "word": " موجودة", "probability": 0.984130859375}, {"start": 2859.68, "end": 2859.9, "word": " في", "probability": 0.89794921875}, {"start": 2859.9, "end": 2860.32, "word": " R", "probability": 0.87939453125}, {"start": 2860.32, "end": 2866.44, "word": " لأن", "probability": 0.6954345703125}, {"start": 2866.44, "end": 2866.62, "word": " لو", "probability": 0.9853515625}, {"start": 2866.62, "end": 2866.98, "word": " كانت", "probability": 0.980224609375}, {"start": 2866.98, "end": 2867.12, "word": " ال", "probability": 0.921875}, {"start": 2867.12, "end": 2867.32, "word": " limit", "probability": 0.96923828125}, {"start": 2867.32, "end": 2867.62, "word": " هذه", "probability": 0.7607421875}, {"start": 2867.62, "end": 2868.34, "word": " موجودة", "probability": 0.9906005859375}], "temperature": 1.0}, {"id": 99, "seek": 289478, "start": 2869.88, "end": 2894.78, "text": "فالمفروض limit صورة xn بما أن xn تقول السفر نكتب since otherwise لأن لو كلاك ذلك لو كانت هذه موجودة if limit", "tokens": [5172, 45340, 5172, 32887, 11242, 4948, 20328, 13063, 3660, 2031, 77, 4724, 15042, 14739, 2031, 77, 6055, 39648, 21136, 5172, 2288, 8717, 4117, 2655, 3555, 1670, 5911, 5296, 33456, 45164, 9122, 15040, 4117, 29910, 23275, 45164, 25961, 2655, 29538, 3714, 29245, 23328, 3660, 498, 4948], "avg_logprob": -0.278192946444387, "compression_ratio": 1.2595419847328244, "no_speech_prob": 0.0, "words": [{"start": 2869.88, "end": 2870.82, "word": "فالمفروض", "probability": 0.83017578125}, {"start": 2870.82, "end": 2872.28, "word": " limit", "probability": 0.430908203125}, {"start": 2872.28, "end": 2873.14, "word": " صورة", "probability": 0.9371744791666666}, {"start": 2873.14, "end": 2873.9, "word": " xn", "probability": 0.4776611328125}, {"start": 2873.9, "end": 2875.82, "word": " بما", "probability": 0.5125732421875}, {"start": 2875.82, "end": 2875.96, "word": " أن", "probability": 0.56103515625}, {"start": 2875.96, "end": 2876.38, "word": " xn", "probability": 0.810302734375}, {"start": 2876.38, "end": 2876.64, "word": " تقول", "probability": 0.697998046875}, {"start": 2876.64, "end": 2878.2, "word": " السفر", "probability": 0.8518880208333334}, {"start": 2878.2, "end": 2882.06, "word": " نكتب", "probability": 0.8585205078125}, {"start": 2882.06, "end": 2882.5, "word": " since", "probability": 0.73046875}, {"start": 2882.5, "end": 2883.32, "word": " otherwise", "probability": 0.78076171875}, {"start": 2883.32, "end": 2887.18, "word": " لأن", "probability": 0.827392578125}, {"start": 2887.18, "end": 2887.4, "word": " لو", "probability": 0.75146484375}, {"start": 2887.4, "end": 2887.92, "word": " كلاك", "probability": 0.5961100260416666}, {"start": 2887.92, "end": 2888.44, "word": " ذلك", "probability": 0.98388671875}, {"start": 2888.44, "end": 2889.26, "word": " لو", "probability": 0.82177734375}, {"start": 2889.26, "end": 2889.74, "word": " كانت", "probability": 0.958251953125}, {"start": 2889.74, "end": 2890.0, "word": " هذه", "probability": 0.72216796875}, {"start": 2890.0, "end": 2891.3, "word": " موجودة", "probability": 0.9892578125}, {"start": 2891.3, "end": 2894.22, "word": " if", "probability": 0.7666015625}, {"start": 2894.22, "end": 2894.78, "word": " limit", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 100, "seek": 290521, "start": 2900.17, "end": 2905.21, "text": "فى limit ل F of X لما X تقول لسة exist", "tokens": [5172, 7578, 4948, 5296, 479, 295, 1783, 5296, 15042, 1783, 6055, 39648, 5296, 3794, 3660, 2514], "avg_logprob": -0.5643382352941176, "compression_ratio": 0.8947368421052632, "no_speech_prob": 0.0, "words": [{"start": 2900.17, "end": 2900.63, "word": "فى", "probability": 0.51336669921875}, {"start": 2900.63, "end": 2900.93, "word": " limit", "probability": 0.300537109375}, {"start": 2900.93, "end": 2901.11, "word": " ل", "probability": 0.75830078125}, {"start": 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0.8583984375}, {"start": 2925.27, "end": 2925.81, "word": " n", "probability": 0.677734375}, {"start": 2925.81, "end": 2926.39, "word": " as", "probability": 0.9150390625}, {"start": 2926.39, "end": 2926.81, "word": " n", "probability": 0.8583984375}, {"start": 2926.81, "end": 2927.11, "word": " tends", "probability": 0.378662109375}, {"start": 2927.11, "end": 2927.27, "word": " to", "probability": 0.96337890625}, {"start": 2927.27, "end": 2927.69, "word": " infinity", "probability": 0.84326171875}, {"start": 2927.69, "end": 2929.71, "word": " وهذا", "probability": 0.847412109375}, {"start": 2929.71, "end": 2930.41, "word": " مستحيل", "probability": 0.9862060546875}, {"start": 2930.41, "end": 2933.23, "word": " which", "probability": 0.791015625}, {"start": 2933.23, "end": 2933.95, "word": " is", "probability": 0.970703125}, {"start": 2933.95, "end": 2934.75, "word": " impossible", "probability": 0.8505859375}, {"start": 2934.75, "end": 2935.39, "word": " وهذا", "probability": 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