| { | |
| "markdown": "\\int_{3}^{100} \\sin(t) \\, dt = k^2 = C\n## ุจุฑูุงู\nุฑูู ู ู ุฃุฑูุงู ุงูุฅุณูุงู ุ ูุฃู ุงูุฏููู ุนูู ูุฌูุจู: ูุชุงุจ ุงููููู ุนุฒ ูุฌู ูุณูุฉ ุฑุณููู ุตูู ุงููู ุนููู ูุณูู ุ ูุฐูู ู ูุถุน ุฅุฌู ุงุน ูุฐู ุงูุฃู ุฉุ ููู ุงูุฐู ุจูู ููุง\ny_{n+1} = y_n - \\alpha \\nabla f(y_n) + \\frac{t}{\\beta^2}\n\\iint_{D} k^2 = \\alpha^2 \\, dx \\, dy\n\\sum_{n=0}^{\\infty} \\frac{\\lambda^n}{n!} = e^{\\lambda}\n## ุจุฑูุงู\nุฃู ูุนุฑู ู ุชู ูุฌุจุ ู ุง ุฏู ูุง ุนุฑููุง ุฃูู ูุงุฌุจุ ููู ููุงู ููุช ูุชุนูู ุฃู ููุคุฏู ุงูุญุฌ ูููุ ููู ุงูู ุณุฃูุฉ ุงูุชู ููุนูุจููุฑ ุนููุง ุงููููุงุก: ูู ุงูุญุฌ ุนูู ุงูููุฑ ุฃู ุนูู ุงูุชุฑุงุฎูุ (1) ุ ุฃู: ูู ูุฌุจ ุนูู\n\\vec{F} = m\\vec{a} + \\frac{y}{y^2}\n## ุชุนุฑูู\nุงูุตููููุงุชู ุงููู ูุนูุชูุจูุฑูุฉู (ููุจูููุธูุงููุฉู ุงูุซููููุจู ููุงููุจูุฏููู) ู ููู ุงููุฃูููุณูุงุฎู (ููุญูุณููู ุงูุตููููุชู ููุทููุจู ุงูุตููููุนูุฉู ููููุญูููููุง) ู ููู ุงููููุถูุงุฆููู ููุญูุณููู ููุฌููู ููุณูู ูุชูุ ููุฐูููุฑู ุจููููู ุงููููุงุณู ููุฃููููููุง ุชูููุถูู ุฅููู ุงุณูุชูู ูุงููุฉู ุงูููููููุจู ููููุซูุฑูุฉู ุงููุฌูู ูุนู. ุชูููุจูููู: ููุง ููุนูููู ู ู ููู ููููุงู ู ุงููู ูุตูููููู ุชูุฑูุชููุจู ููู ุฐูููููุ ููุงููููุฐูู ููู ุงูุฑููููุถูุฉู ููุฃูุตูููููุง ุนููู ุงููู ูุชูููููููุ ููุฌูุฒูู ู ุจููู ุงูุฑููุงููุนูููู ููู ุงูุดููุฑูุญู ุงูุตููุบููุฑู ุฃููู\n\\frac{\\partial t}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\ln(\\lambda + h) - \\ln(\\lambda)}{h} + \\frac{n}{j^2}\n## ู ูุงุญุธุฉ\nูููููู ุงููู ูุนูุชูู ูุฏู ุฃูููููู ููููุฏููู ู ุจูุงููููุธูุงููุฉู ุซูู ูู ุจูุญูุณููู\n\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)\n\\frac{\\partial \\theta}{\\partial z} = \\lim_{h \\to 0} \\frac{\\exp(z + h) - \\exp(z)}{h}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )", | |
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| { | |
| "text": "\\int_{3}^{100}", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "\\sin(t)", | |
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| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "dt", | |
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| "start_index": 26 | |
| }, | |
| { | |
| "text": "=", | |
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| }, | |
| { | |
| "text": "k^2", | |
| "confidence": 1.0, | |
| "start_index": 31 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 35 | |
| }, | |
| { | |
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| }, | |
| { | |
| "text": "##", | |
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| "start_index": 39 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 42 | |
| }, | |
| { | |
| "text": "ุฑูู", | |
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| "start_index": 48 | |
| }, | |
| { | |
| "text": "ู ู", | |
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| { | |
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| "start_index": 55 | |
| }, | |
| { | |
| "text": "ุงูุฅุณูุงู ุ", | |
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| }, | |
| { | |
| "text": "ูุฃู", | |
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| { | |
| "text": "ุงูุฏููู", | |
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| { | |
| "text": "ุนูู", | |
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| "text": "ูุฌูุจู:", | |
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| }, | |
| { | |
| "text": "ูุชุงุจ", | |
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| }, | |
| { | |
| "text": "ุงููููู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุนุฒ", | |
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| { | |
| "text": "ูุฌู", | |
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| }, | |
| { | |
| "text": "ูุณูุฉ", | |
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| }, | |
| { | |
| "text": "ุฑุณููู", | |
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| "start_index": 116 | |
| }, | |
| { | |
| "text": "ุตูู", | |
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| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 126 | |
| }, | |
| { | |
| "text": "ุนููู", | |
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| "start_index": 131 | |
| }, | |
| { | |
| "text": "ูุณูู ุ", | |
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| }, | |
| { | |
| "text": "ูุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 142 | |
| }, | |
| { | |
| "text": "ู ูุถุน", | |
| "confidence": 1.0, | |
| "start_index": 147 | |
| }, | |
| { | |
| "text": "ุฅุฌู ุงุน", | |
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| }, | |
| { | |
| "text": "ูุฐู", | |
| "confidence": 1.0, | |
| "start_index": 158 | |
| }, | |
| { | |
| "text": "ุงูุฃู ุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 162 | |
| }, | |
| { | |
| "text": "ููู", | |
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| }, | |
| { | |
| "text": "ุงูุฐู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุจูู", | |
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| }, | |
| { | |
| "text": "ููุง", | |
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| { | |
| "text": "y_{n+1}", | |
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| "text": "=", | |
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| "text": "ููุช", | |
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| "text": "ูููุ", | |
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| "text": "ุงูู ุณุฃูุฉ", | |
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| "text": "ุงูุชู", | |
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| "text": "ููุนูุจููุฑ", | |
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| "text": "ุนููุง", | |
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| "text": "ูู", | |
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| "text": "ุงูุชุฑุงุฎูุ", | |
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| { | |
| "text": "ูู", | |
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| "text": "ูุฌุจ", | |
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| { | |
| "text": "ุนูู", | |
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| { | |
| "text": "\\vec{F}", | |
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| "text": "=", | |
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| "text": "ุงููู ูุนูุชูุจูุฑูุฉู", | |
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| "text": "ุงูุซููููุจู", | |
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| }, | |
| { | |
| "text": "ููุงููุจูุฏููู)", | |
| "confidence": 1.0, | |
| "start_index": 614 | |
| }, | |
| { | |
| "text": "ู ููู", | |
| "confidence": 1.0, | |
| "start_index": 627 | |
| }, | |
| { | |
| "text": "ุงููุฃูููุณูุงุฎู", | |
| "confidence": 1.0, | |
| "start_index": 632 | |
| }, | |
| { | |
| "text": "(ููุญูุณููู", | |
| "confidence": 1.0, | |
| "start_index": 645 | |
| }, | |
| { | |
| "text": "ุงูุตููููุชู", | |
| "confidence": 1.0, | |
| "start_index": 655 | |
| }, | |
| { | |
| "text": "ููุทููุจู", | |
| "confidence": 1.0, | |
| "start_index": 665 | |
| }, | |
| { | |
| "text": "ุงูุตููููุนูุฉู", | |
| "confidence": 1.0, | |
| "start_index": 673 | |
| }, | |
| { | |
| "text": "ููููุญูููููุง)", | |
| "confidence": 1.0, | |
| "start_index": 685 | |
| }, | |
| { | |
| "text": "ู ููู", | |
| "confidence": 1.0, | |
| "start_index": 698 | |
| }, | |
| { | |
| "text": "ุงููููุถูุงุฆููู", | |
| "confidence": 1.0, | |
| "start_index": 703 | |
| }, | |
| { | |
| "text": "ููุญูุณููู", | |
| "confidence": 1.0, | |
| "start_index": 716 | |
| }, | |
| { | |
| "text": "ููุฌููู", | |
| "confidence": 1.0, | |
| "start_index": 725 | |
| }, | |
| { | |
| "text": "ููุณูู ูุชูุ", | |
| "confidence": 1.0, | |
| "start_index": 732 | |
| }, | |
| { | |
| "text": "ููุฐูููุฑู", | |
| "confidence": 1.0, | |
| "start_index": 742 | |
| }, | |
| { | |
| "text": "ุจููููู", | |
| "confidence": 1.0, | |
| "start_index": 751 | |
| }, | |
| { | |
| "text": "ุงููููุงุณู", | |
| "confidence": 1.0, | |
| "start_index": 758 | |
| }, | |
| { | |
| "text": "ููุฃููููููุง", | |
| "confidence": 1.0, | |
| "start_index": 767 | |
| }, | |
| { | |
| "text": "ุชูููุถูู", | |
| "confidence": 1.0, | |
| "start_index": 778 | |
| }, | |
| { | |
| "text": "ุฅููู", | |
| "confidence": 1.0, | |
| "start_index": 786 | |
| }, | |
| { | |
| "text": "ุงุณูุชูู ูุงููุฉู", | |
| "confidence": 1.0, | |
| "start_index": 791 | |
| }, | |
| { | |
| "text": "ุงูููููููุจู", | |
| "confidence": 1.0, | |
| "start_index": 804 | |
| }, | |
| { | |
| "text": "ููููุซูุฑูุฉู", | |
| "confidence": 1.0, | |
| "start_index": 815 | |
| }, | |
| { | |
| "text": "ุงููุฌูู ูุนู.", | |
| "confidence": 1.0, | |
| "start_index": 826 | |
| }, | |
| { | |
| "text": "ุชูููุจูููู:", | |
| "confidence": 1.0, | |
| "start_index": 837 | |
| }, | |
| { | |
| "text": "ููุง", | |
| "confidence": 1.0, | |
| "start_index": 848 | |
| }, | |
| { | |
| "text": "ููุนูููู ู", | |
| "confidence": 1.0, | |
| "start_index": 852 | |
| }, | |
| { | |
| "text": "ู ููู", | |
| "confidence": 1.0, | |
| "start_index": 861 | |
| }, | |
| { | |
| "text": "ููููุงู ู", | |
| "confidence": 1.0, | |
| "start_index": 866 | |
| }, | |
| { | |
| "text": "ุงููู ูุตูููููู", | |
| "confidence": 1.0, | |
| "start_index": 874 | |
| }, | |
| { | |
| "text": "ุชูุฑูุชููุจู", | |
| "confidence": 1.0, | |
| "start_index": 887 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 897 | |
| }, | |
| { | |
| "text": "ุฐูููููุ", | |
| "confidence": 1.0, | |
| "start_index": 901 | |
| }, | |
| { | |
| "text": "ููุงููููุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 909 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 920 | |
| }, | |
| { | |
| "text": "ุงูุฑููููุถูุฉู", | |
| "confidence": 1.0, | |
| "start_index": 924 | |
| }, | |
| { | |
| "text": "ููุฃูุตูููููุง", | |
| "confidence": 1.0, | |
| "start_index": 936 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 948 | |
| }, | |
| { | |
| "text": "ุงููู ูุชูููููููุ", | |
| "confidence": 1.0, | |
| "start_index": 953 | |
| }, | |
| { | |
| "text": "ููุฌูุฒูู ู", | |
| "confidence": 1.0, | |
| "start_index": 968 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 977 | |
| }, | |
| { | |
| "text": "ุงูุฑููุงููุนูููู", | |
| "confidence": 1.0, | |
| "start_index": 982 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 996 | |
| }, | |
| { | |
| "text": "ุงูุดููุฑูุญู", | |
| "confidence": 1.0, | |
| "start_index": 1000 | |
| }, | |
| { | |
| "text": "ุงูุตููุบููุฑู", | |
| "confidence": 1.0, | |
| "start_index": 1010 | |
| }, | |
| { | |
| "text": "ุฃููู", | |
| "confidence": 1.0, | |
| "start_index": 1021 | |
| }, | |
| { | |
| "text": "\\frac{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 1026 | |
| }, | |
| { | |
| "text": "t}{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 1041 | |
| }, | |
| { | |
| "text": "\\lambda}", | |
| "confidence": 1.0, | |
| "start_index": 1053 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1062 | |
| }, | |
| { | |
| "text": "\\lim_{h", | |
| "confidence": 1.0, | |
| "start_index": 1064 | |
| }, | |
| { | |
| "text": "\\to", | |
| "confidence": 1.0, | |
| "start_index": 1072 | |
| }, | |
| { | |
| "text": "0}", | |
| "confidence": 1.0, | |
| "start_index": 1076 | |
| }, | |
| { | |
| "text": "\\frac{\\ln(\\lambda", | |
| "confidence": 1.0, | |
| "start_index": 1079 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1097 | |
| }, | |
| { | |
| "text": "h)", | |
| "confidence": 1.0, | |
| "start_index": 1099 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1102 | |
| }, | |
| { | |
| "text": "\\ln(\\lambda)}{h}", | |
| "confidence": 1.0, | |
| "start_index": 1104 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1121 | |
| }, | |
| { | |
| "text": "\\frac{n}{j^2}", | |
| "confidence": 1.0, | |
| "start_index": 1123 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 1137 | |
| }, | |
| { | |
| "text": "ู ูุงุญุธุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1140 | |
| }, | |
| { | |
| "text": "ูููููู", | |
| "confidence": 1.0, | |
| "start_index": 1147 | |
| }, | |
| { | |
| "text": "ุงููู ูุนูุชูู ูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 1154 | |
| }, | |
| { | |
| "text": "ุฃูููููู", | |
| "confidence": 1.0, | |
| "start_index": 1168 | |
| }, | |
| { | |
| "text": "ููููุฏููู ู", | |
| "confidence": 1.0, | |
| "start_index": 1176 | |
| }, | |
| { | |
| "text": "ุจูุงููููุธูุงููุฉู", | |
| "confidence": 1.0, | |
| "start_index": 1186 | |
| }, | |
| { | |
| "text": "ุซูู ูู", | |
| "confidence": 1.0, | |
| "start_index": 1201 | |
| }, | |
| { | |
| "text": "ุจูุญูุณููู", | |
| "confidence": 1.0, | |
| "start_index": 1207 | |
| }, | |
| { | |
| "text": "\\mu_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 1216 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1226 | |
| }, | |
| { | |
| "text": "\\mu_n", | |
| "confidence": 1.0, | |
| "start_index": 1228 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1234 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 1236 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 1243 | |
| }, | |
| { | |
| "text": "f(\\mu_n)", | |
| "confidence": 1.0, | |
| "start_index": 1250 | |
| }, | |
| { | |
| "text": "\\frac{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 1259 | |
| }, | |
| { | |
| "text": "\\theta}{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 1274 | |
| }, | |
| { | |
| "text": "z}", | |
| "confidence": 1.0, | |
| "start_index": 1291 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1294 | |
| }, | |
| { | |
| "text": "\\lim_{h", | |
| "confidence": 1.0, | |
| "start_index": 1296 | |
| }, | |
| { | |
| "text": "\\to", | |
| "confidence": 1.0, | |
| "start_index": 1304 | |
| }, | |
| { | |
| "text": "0}", | |
| "confidence": 1.0, | |
| "start_index": 1308 | |
| }, | |
| { | |
| "text": "\\frac{\\exp(z", | |
| "confidence": 1.0, | |
| "start_index": 1311 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1324 | |
| }, | |
| { | |
| "text": "h)", | |
| "confidence": 1.0, | |
| "start_index": 1326 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1329 | |
| }, | |
| { | |
| "text": "\\exp(z)}{h}", | |
| "confidence": 1.0, | |
| "start_index": 1331 | |
| }, | |
| { | |
| "text": "P(A|B)", | |
| "confidence": 1.0, | |
| "start_index": 1343 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1350 | |
| }, | |
| { | |
| "text": "\\frac{P(A", | |
| "confidence": 1.0, | |
| "start_index": 1352 | |
| }, | |
| { | |
| "text": "\\cap", | |
| "confidence": 1.0, | |
| "start_index": 1362 | |
| }, | |
| { | |
| "text": "B)}{P(B)}", | |
| "confidence": 1.0, | |
| "start_index": 1367 | |
| }, | |
| { | |
| "text": "\\nabla_{\\mu}", | |
| "confidence": 1.0, | |
| "start_index": 1377 | |
| }, | |
| { | |
| "text": "J(\\mu)", | |
| "confidence": 1.0, | |
| "start_index": 1390 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
| "start_index": 1399 | |
| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "(", | |
| "confidence": 1.0, | |
| "start_index": 1415 | |
| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\mu)", | |
| "confidence": 1.0, | |
| "start_index": 1426 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1431 | |
| }, | |
| { | |
| "text": "Y", | |
| "confidence": 1.0, | |
| "start_index": 1433 | |
| }, | |
| { | |
| "text": ")", | |
| "confidence": 1.0, | |
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| "content": "\\int_{3}^{100} \\sin(t) \\, dt = k^2 = C", | |
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| "content": "ุฑูู ู ู ุฃุฑูุงู ุงูุฅุณูุงู ุ ูุฃู ุงูุฏููู ุนูู ูุฌูุจู: ูุชุงุจ ุงููููู ุนุฒ ูุฌู ูุณูุฉ ุฑุณููู ุตูู ุงููู ุนููู ูุณูู ุ ูุฐูู ู ูุถุน ุฅุฌู ุงุน ูุฐู ุงูุฃู ุฉุ ููู ุงูุฐู ุจูู ููุง", | |
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| "content": "y_{n+1} = y_n - \\alpha \\nabla f(y_n) + \\frac{t}{\\beta^2}", | |
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| "content": "\\iint_{D} k^2 = \\alpha^2 \\, dx \\, dy", | |
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| "content": "ุฃู ูุนุฑู ู ุชู ูุฌุจุ ู ุง ุฏู ูุง ุนุฑููุง ุฃูู ูุงุฌุจุ ููู ููุงู ููุช ูุชุนูู ุฃู ููุคุฏู ุงูุญุฌ ูููุ ููู ุงูู ุณุฃูุฉ ุงูุชู ููุนูุจููุฑ ุนููุง ุงููููุงุก: ูู ุงูุญุฌ ุนูู ุงูููุฑ ุฃู ุนูู ุงูุชุฑุงุฎูุ (1) ุ ุฃู: ูู ูุฌุจ ุนูู", | |
| "type": "text", | |
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| "bottom_right_y": 565, | |
| "content": "\\vec{F} = m\\vec{a} + \\frac{y}{y^2}", | |
| "type": "text", | |
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| "content": "ุงูุตููููุงุชู ุงููู ูุนูุชูุจูุฑูุฉู (ููุจูููุธูุงููุฉู ุงูุซููููุจู ููุงููุจูุฏููู) ู ููู ุงููุฃูููุณูุงุฎู (ููุญูุณููู ุงูุตููููุชู ููุทููุจู ุงูุตููููุนูุฉู ููููุญูููููุง) ู ููู ุงููููุถูุงุฆููู ููุญูุณููู ููุฌููู ููุณูู ูุชูุ ููุฐูููุฑู ุจููููู ุงููููุงุณู ููุฃููููููุง ุชูููุถูู ุฅููู ุงุณูุชูู ูุงููุฉู ุงูููููููุจู ููููุซูุฑูุฉู ุงููุฌูู ูุนู. ุชูููุจูููู: ููุง ููุนูููู ู ู ููู ููููุงู ู ุงููู ูุตูููููู ุชูุฑูุชููุจู ููู ุฐูููููุ ููุงููููุฐูู ููู ุงูุฑููููุถูุฉู ููุฃูุตูููููุง ุนููู ุงููู ูุชูููููููุ ููุฌูุฒูู ู ุจููู ุงูุฑููุงููุนูููู ููู ุงูุดููุฑูุญู ุงูุตููุบููุฑู ุฃููู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 710, | |
| "bottom_right_x": 666, | |
| "bottom_right_y": 765, | |
| "content": "\\frac{\\partial t}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\ln(\\lambda + h) - \\ln(\\lambda)}{h} + \\frac{n}{j^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 809, | |
| "bottom_right_x": 666, | |
| "bottom_right_y": 831, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 836, | |
| "bottom_right_x": 666, | |
| "bottom_right_y": 858, | |
| "content": "ูููููู ุงููู ูุนูุชูู ูุฏู ุฃูููููู ููููุฏููู ู ุจูุงููููุธูุงููุฉู ุซูู ูู ุจูุญูุณููู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 864, | |
| "bottom_right_x": 666, | |
| "bottom_right_y": 902, | |
| "content": "\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 934, | |
| "bottom_right_x": 682, | |
| "bottom_right_y": 987, | |
| "content": "\\frac{\\partial \\theta}{\\partial z} = \\lim_{h \\to 0} \\frac{\\exp(z + h) - \\exp(z)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 993, | |
| "bottom_right_x": 682, | |
| "bottom_right_y": 1049, | |
| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 1055, | |
| "bottom_right_x": 682, | |
| "bottom_right_y": 1106, | |
| "content": "\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 18 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "b-tooba.ttf", | |
| "title_font": "b-jadid-bold.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": { | |
| "name": "bad_photocopy", | |
| "params": { | |
| "noise_type": -1, | |
| "noise_iteration": [ | |
| 1, | |
| 2 | |
| ], | |
| "noise_size": [ | |
| 1, | |
| 2 | |
| ], | |
| "noise_value": [ | |
| 0, | |
| 30 | |
| ], | |
| "noise_sparsity": [ | |
| 0.3, | |
| 0.5 | |
| ], | |
| "noise_concentration": [ | |
| 0.1, | |
| 0.3 | |
| ] | |
| } | |
| } | |
| } | |
| } |