{"segments": [{"id": 1, "seek": 3047, "start": 2.09, "end": 30.47, "text": "ุจุณู ุงููู ุงูุฑุญู ู ุงูุฑุญูู ุนุฒูุฒู ุงููู ูุงูุณูุงู ุนูููู ูุฑุญู ุฉ ุงููู ูุจุฑูุงุชู ูู ูุฐุง ุงูููุฏูู ูุณุชุฎุฏู ุงู section 1.1 ุงูุฌุฒุก ุงูุชุงูู ูู section ูุชููู ุนู ู ูุถูุนูู ูู ูู ุงููู ูู ุงูุฏุจุงู ุงูุชุณููู ู ู ุงูุญูุงุช ุงูุชุฒุงูุฏูุฉ ู ุงูุชูุงูุตูุฉ ู ุงูุฏุจุงู ุงูุฒููุฏูุฉ ู ุงูุชุฑุฏูุฉ ููู ุงูุฌุฒุก ุงูุฃูู increasing and decreasing functions ุงููู ูู increasing ุงูุชุฒุงูุฏู ู decreasing ุงูุชูุงูุตูุฉ ู let F be a function", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 11622, 1829, 11622, 1829, 21984, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8978, 23758, 27188, 1829, 16254, 2407, 8717, 14851, 9778, 40448, 2423, 3541, 502, 13, 16, 25724, 11622, 38207, 16712, 6027, 5172, 24976, 3541, 7251, 2655, 4117, 19528, 18871, 3714, 2407, 11242, 45367, 9957, 8032, 2304, 9957, 13672, 1829, 31439, 32748, 3555, 6027, 16712, 3794, 20292, 5172, 9154, 21542, 1829, 9307, 16712, 11622, 995, 25708, 10632, 4032, 16712, 8315, 4587, 9381, 10632, 4032, 32748, 3555, 6027, 6024, 110, 1829, 2407, 16254, 3660, 4032, 16712, 2288, 3215, 10632, 6156, 3224, 2407, 25724, 11622, 38207, 16247, 12610, 5662, 293, 23223, 6828, 13672, 1829, 31439, 5662, 16712, 11622, 995, 25708, 1829, 4032, 23223, 16712, 8315, 4587, 9381, 10632, 6156, 718, 479, 312, 257, 2445], "avg_logprob": -0.29521277610291824, "compression_ratio": 2.1305970149253732, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2.09, "end": 2.41, "word": "ุจุณู ", "probability": 0.795654296875}, {"start": 2.41, "end": 2.63, "word": " ุงููู", "probability": 0.9482421875}, {"start": 2.63, "end": 2.97, "word": " ุงูุฑุญู ู", "probability": 0.9744466145833334}, {"start": 2.97, "end": 3.39, "word": " ุงูุฑุญูู ", "probability": 0.9910481770833334}, {"start": 3.39, "end": 3.87, "word": " ุนุฒูุฒู", "probability": 0.8158203125}, {"start": 3.87, "end": 4.09, "word": " ุงููู", "probability": 0.86767578125}, {"start": 4.09, "end": 4.47, "word": " ูุงูุณูุงู ", "probability": 0.7267252604166666}, {"start": 4.47, "end": 4.87, "word": " ุนูููู ", "probability": 0.962890625}, {"start": 4.87, "end": 5.15, "word": " ูุฑุญู ุฉ", "probability": 0.9503173828125}, {"start": 5.15, "end": 5.25, "word": " ุงููู", "probability": 0.958984375}, {"start": 5.25, "end": 5.93, "word": " ูุจุฑูุงุชู", "probability": 0.98369140625}, {"start": 5.93, "end": 6.19, "word": " ูู", "probability": 0.92626953125}, {"start": 6.19, "end": 6.39, "word": " ูุฐุง", "probability": 0.87353515625}, {"start": 6.39, "end": 6.77, "word": " ุงูููุฏูู", "probability": 0.9420166015625}, {"start": 6.77, "end": 7.27, "word": " ูุณุชุฎุฏู ", "probability": 0.780029296875}, {"start": 7.27, "end": 7.49, "word": " ุงู", "probability": 0.69140625}, {"start": 7.49, "end": 7.75, "word": " section", "probability": 0.763671875}, {"start": 7.75, "end": 8.11, "word": " 1", "probability": 0.6748046875}, {"start": 8.11, "end": 8.77, "word": ".1", "probability": 0.6920166015625}, {"start": 8.77, "end": 10.07, "word": " ุงูุฌุฒุก", "probability": 0.9326171875}, {"start": 10.07, "end": 10.63, "word": " ุงูุชุงูู", "probability": 0.8611653645833334}, {"start": 10.63, "end": 10.83, "word": " ูู", "probability": 0.5615234375}, {"start": 10.83, "end": 11.29, "word": " section", "probability": 0.56005859375}, {"start": 11.29, "end": 11.85, "word": " ูุชููู ", "probability": 0.84246826171875}, {"start": 11.85, "end": 12.09, "word": " ุนู", "probability": 0.916015625}, {"start": 12.09, "end": 12.45, "word": " ู ูุถูุนูู", "probability": 0.73896484375}, {"start": 12.45, "end": 12.75, "word": " ูู ูู", "probability": 0.7163899739583334}, {"start": 12.75, "end": 12.89, "word": " ุงููู", "probability": 0.57598876953125}, {"start": 12.89, "end": 13.17, "word": " ูู", "probability": 0.9130859375}, {"start": 13.17, "end": 14.17, "word": " ุงูุฏุจุงู", "probability": 0.5936686197916666}, {"start": 14.17, "end": 14.61, "word": " ุงูุชุณููู", "probability": 0.5706787109375}, {"start": 14.61, "end": 14.73, "word": " ู ู", "probability": 0.51025390625}, {"start": 14.73, "end": 15.01, "word": " ุงูุญูุงุช", "probability": 0.5980631510416666}, {"start": 15.01, "end": 15.55, "word": " ุงูุชุฒุงูุฏูุฉ", "probability": 0.9447265625}, {"start": 15.55, "end": 15.67, "word": " ู", "probability": 0.308349609375}, {"start": 15.67, "end": 16.33, "word": " ุงูุชูุงูุตูุฉ", "probability": 0.874609375}, {"start": 16.33, "end": 17.03, "word": " ู", "probability": 0.42919921875}, {"start": 17.03, "end": 17.59, "word": " ุงูุฏุจุงู", "probability": 0.9417317708333334}, {"start": 17.59, "end": 18.11, "word": " ุงูุฒููุฏูุฉ", "probability": 0.6342366536458334}, {"start": 18.11, "end": 18.19, "word": " ู", "probability": 0.6123046875}, {"start": 18.19, "end": 18.85, "word": " ุงูุชุฑุฏูุฉ", "probability": 0.773681640625}, {"start": 18.85, "end": 20.25, "word": " ููู", "probability": 0.688232421875}, {"start": 20.25, "end": 21.33, "word": " ุงูุฌุฒุก", "probability": 0.7301025390625}, {"start": 21.33, "end": 21.53, "word": " ุงูุฃูู", "probability": 0.634033203125}, {"start": 21.53, "end": 22.21, "word": " increasing", "probability": 0.52587890625}, {"start": 22.21, "end": 22.63, "word": " and", "probability": 0.8046875}, {"start": 22.63, "end": 23.09, "word": " decreasing", "probability": 0.96044921875}, {"start": 23.09, "end": 23.93, "word": " functions", "probability": 0.70361328125}, {"start": 23.93, "end": 24.83, "word": " ุงููู", "probability": 0.837890625}, {"start": 24.83, "end": 24.99, "word": " ูู", "probability": 0.97021484375}, {"start": 24.99, "end": 25.73, "word": " increasing", "probability": 0.41162109375}, {"start": 25.73, "end": 26.69, "word": " ุงูุชุฒุงูุฏู", "probability": 0.871875}, {"start": 26.69, "end": 26.81, "word": " ู", "probability": 0.921875}, {"start": 26.81, "end": 27.17, "word": " decreasing", "probability": 0.95068359375}, {"start": 27.17, "end": 28.11, "word": " ุงูุชูุงูุตูุฉ", "probability": 0.85810546875}, {"start": 28.11, "end": 28.97, "word": " ู", "probability": 0.90673828125}, {"start": 28.97, "end": 29.37, "word": " let", "probability": 0.12286376953125}, {"start": 29.37, "end": 29.65, "word": " F", "probability": 0.499267578125}, {"start": 29.65, "end": 29.85, "word": " be", "probability": 0.86865234375}, {"start": 29.85, "end": 30.03, "word": " a", "probability": 0.96923828125}, {"start": 30.03, "end": 30.47, "word": " function", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 2, "seek": 3914, "start": 37.06, "end": 39.14, "text": "ูุฑุถูุง ู ูุนุฑูู ุนูู ูุชุฑุฉ I", "tokens": [5172, 43042, 8315, 3714, 10859, 3615, 2288, 11703, 5172, 15844, 6156, 2655, 25720, 286], "avg_logprob": -0.6479166428248088, "compression_ratio": 0.7884615384615384, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 37.06, "end": 37.74, "word": "ูุฑุถูุง", "probability": 0.5155843098958334}, {"start": 37.74, "end": 38.42, "word": " ู ูุนุฑูู", "probability": 0.60467529296875}, {"start": 38.42, "end": 38.54, "word": " ุนูู", "probability": 0.487548828125}, {"start": 38.54, "end": 38.88, "word": " ูุชุฑุฉ", "probability": 0.7942708333333334}, {"start": 38.88, "end": 39.14, "word": " I", "probability": 0.6962890625}], "temperature": 1.0}, {"id": 3, "seek": 6290, "start": 39.5, "end": 62.9, "text": "ูู ุฎุฏูุง ุฃู ููุทุฉ x1 ูx2 ูู ูุฐู ุงููุชุฑุฉ ูุฅุฐุง ูุงูุช ุนูุฏูุง x1 ุฃูู ู ู x2 ูุฏู ููุฏู ูุตูุฑุฉ Fx2 ุฃูู ู ู ุตูุฑุฉ Fx1 ุจู ุนูู ุฃูู ูู ู ุง ุงุชุฌููุง ุงููู ูู ุงูุตูุฑ ุจูุฒูุฏูุง ูู ู ุญุงูุฉ ุฐูู ูุตุนุฏ ูุฃุนูู ูุฅู ุงูุฐูู ูู ูุฐู ุงูุญุงูุฉ ุชููู ุชุงูุฉ ุฒูุงุฏูุฉ ูุนูู F is said to be an increasing on I", "tokens": [1211, 2407, 16490, 3215, 8315, 36632, 8717, 47432, 3660, 2031, 16, 4032, 87, 17, 8978, 29538, 27188, 2655, 25720, 4032, 28814, 15730, 25961, 2655, 43242, 8315, 2031, 16, 5551, 4587, 1211, 9154, 2031, 17, 8032, 16254, 7251, 2407, 16254, 5296, 9381, 13063, 3660, 479, 87, 17, 5551, 4587, 1211, 9154, 20328, 13063, 3660, 479, 87, 16, 4724, 2304, 3615, 1863, 7578, 14739, 3224, 28242, 19446, 1975, 2655, 7435, 3224, 8315, 45595, 2304, 9957, 31767, 13063, 4724, 1829, 11622, 25708, 14407, 4032, 27842, 11331, 6027, 3660, 29910, 23275, 7251, 9381, 22488, 5296, 10721, 3615, 23942, 6156, 28814, 1863, 32545, 23275, 8978, 29538, 21542, 6027, 3660, 6055, 30544, 6055, 6027, 3660, 30767, 1829, 18513, 10632, 37495, 22653, 479, 307, 848, 281, 312, 364, 5662, 322, 286], "avg_logprob": -0.3037500133514404, "compression_ratio": 1.6489795918367347, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 39.5, "end": 39.74, "word": "ูู", "probability": 0.5302734375}, {"start": 39.74, "end": 40.0, "word": " ุฎุฏูุง", "probability": 0.6935628255208334}, {"start": 40.0, "end": 40.14, "word": " ุฃู", "probability": 0.57568359375}, {"start": 40.14, "end": 40.46, "word": " ููุทุฉ", "probability": 0.8388671875}, {"start": 40.46, "end": 40.86, "word": " x1", "probability": 0.465576171875}, {"start": 40.86, "end": 41.26, "word": " ูx2", "probability": 0.6573079427083334}, {"start": 41.26, "end": 41.36, "word": " ูู", "probability": 0.6865234375}, {"start": 41.36, "end": 41.54, "word": " ูุฐู", "probability": 0.80126953125}, {"start": 41.54, "end": 42.2, "word": " ุงููุชุฑุฉ", "probability": 0.8704427083333334}, {"start": 42.2, "end": 42.8, "word": " ูุฅุฐุง", "probability": 0.7552083333333334}, {"start": 42.8, "end": 43.18, "word": " ูุงูุช", "probability": 0.7110595703125}, {"start": 43.18, "end": 43.48, "word": " ุนูุฏูุง", "probability": 0.7958984375}, {"start": 43.48, "end": 44.0, "word": " x1", "probability": 0.88330078125}, {"start": 44.0, "end": 44.32, "word": " ุฃูู", "probability": 0.92431640625}, {"start": 44.32, "end": 44.48, "word": " ู ู", "probability": 0.9765625}, {"start": 44.48, "end": 45.16, "word": " x2", "probability": 0.984619140625}, {"start": 45.16, "end": 45.44, "word": " ูุฏู", 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{"start": 50.56, "end": 51.2, "word": " ุงููู ูู", "probability": 0.5947265625}, {"start": 51.2, "end": 52.12, "word": " ุงูุตูุฑ", "probability": 0.90625}, {"start": 52.12, "end": 52.68, "word": " ุจูุฒูุฏูุง", "probability": 0.708251953125}, {"start": 52.68, "end": 53.44, "word": " ูู ู", "probability": 0.4857177734375}, {"start": 53.44, "end": 53.72, "word": " ุญุงูุฉ", "probability": 0.7734375}, {"start": 53.72, "end": 54.0, "word": " ุฐูู", "probability": 0.67431640625}, {"start": 54.0, "end": 54.78, "word": " ูุตุนุฏ", "probability": 0.8321940104166666}, {"start": 54.78, "end": 55.22, "word": " ูุฃุนูู", "probability": 0.9033203125}, {"start": 55.22, "end": 55.74, "word": " ูุฅู", "probability": 0.89990234375}, {"start": 55.74, "end": 56.66, "word": " ุงูุฐูู", "probability": 0.4874267578125}, {"start": 56.66, "end": 56.78, "word": " ูู", "probability": 0.8173828125}, {"start": 56.78, "end": 56.92, "word": " ูุฐู", "probability": 0.86669921875}, {"start": 56.92, "end": 57.26, 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