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| "markdown": "\\frac{\\partial y}{\\partial n} = \\lim_{h \\to 0} \\frac{\\cos(n + h) - \\cos(n)}{h}\n## ู ุจุฑููุฉ\nุฐููุ ูู ู ุฒุงุฏ ุนูู ุตูู ุฏุงูุฏุ ููุฏ ุชุฑู ุงูุฃูุถูุ ูุชุจุตูุฑุ ูุงููู ุชุนุงูู ุฃุนูู . (ููุงูู ุนูุจูุฏู ุงูููู ุจููู ุนูู ูุฑูู ุฑุถู\n\\sum_{i=0}^{\\infty} \\frac{y^i}{i!} = e^{y}\n## ู ุจุฑููุฉ\nุงููู ุนูู: ููุฃููู ุฃูููููู ููุจูููุชู ุงูุซููููุงุซูุฉู ุฃููููุงู ู ุงูููุชูู ููุงูู ุฑูุณูููู ุงูููู ุตูู ุงููู ุนููู ูุณูู ) ุฃู:\n\\sigma_{n+1} = \\sigma_n - \\alpha \\nabla f(\\sigma_n) + \\frac{i}{\\sigma^2}\n\\iint_{D} i^2 \\leq \\theta^2 \\, dx \\, dy", | |
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| "word_confidence_scores": [ | |
| { | |
| "text": "\\frac{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "y}{\\partial", | |
| "confidence": 1.0, | |
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| { | |
| "text": "n}", | |
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| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 30 | |
| }, | |
| { | |
| "text": "\\lim_{h", | |
| "confidence": 1.0, | |
| "start_index": 32 | |
| }, | |
| { | |
| "text": "\\to", | |
| "confidence": 1.0, | |
| "start_index": 40 | |
| }, | |
| { | |
| "text": "0}", | |
| "confidence": 1.0, | |
| "start_index": 44 | |
| }, | |
| { | |
| "text": "\\frac{\\cos(n", | |
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| "start_index": 47 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "h)", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 65 | |
| }, | |
| { | |
| "text": "\\cos(n)}{h}", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ู ุจุฑููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 82 | |
| }, | |
| { | |
| "text": "ุฐููุ", | |
| "confidence": 1.0, | |
| "start_index": 89 | |
| }, | |
| { | |
| "text": "ูู ู", | |
| "confidence": 1.0, | |
| "start_index": 94 | |
| }, | |
| { | |
| "text": "ุฒุงุฏ", | |
| "confidence": 1.0, | |
| "start_index": 98 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 102 | |
| }, | |
| { | |
| "text": "ุตูู ", | |
| "confidence": 1.0, | |
| "start_index": 106 | |
| }, | |
| { | |
| "text": "ุฏุงูุฏุ", | |
| "confidence": 1.0, | |
| "start_index": 110 | |
| }, | |
| { | |
| "text": "ููุฏ", | |
| "confidence": 1.0, | |
| "start_index": 116 | |
| }, | |
| { | |
| "text": "ุชุฑู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุงูุฃูุถูุ", | |
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| { | |
| "text": "ูุชุจุตูุฑุ", | |
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| { | |
| "text": "ูุงููู", | |
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| { | |
| "text": "ุชุนุงูู", | |
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| { | |
| "text": "ุฃุนูู .", | |
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| { | |
| "text": "(ููุงูู", | |
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| { | |
| "text": "ุนูุจูุฏู", | |
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| }, | |
| { | |
| "text": "ุงูููู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุจููู", | |
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| { | |
| "text": "ุนูู ูุฑูู", | |
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| }, | |
| { | |
| "text": "ุฑุถู", | |
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| { | |
| "text": "\\sum_{i=0}^{\\infty}", | |
| "confidence": 1.0, | |
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| { | |
| "text": "\\frac{y^i}{i!}", | |
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| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 230 | |
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| { | |
| "text": "e^{y}", | |
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| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 238 | |
| }, | |
| { | |
| "text": "ู ุจุฑููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 241 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุนูู:", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ููุฃููู", | |
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| }, | |
| { | |
| "text": "ุฃูููููู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ููุจูููุชู", | |
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| { | |
| "text": "ุงูุซููููุงุซูุฉู", | |
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| { | |
| "text": "ุฃููููุงู ู", | |
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| { | |
| "text": "ุงูููุชูู", | |
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| }, | |
| { | |
| "text": "ููุงูู", | |
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| }, | |
| { | |
| "text": "ุฑูุณูููู", | |
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| }, | |
| { | |
| "text": "ุงูููู", | |
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| { | |
| "text": "ุตูู", | |
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| { | |
| "text": "ุงููู", | |
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| "text": "ุนููู", | |
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| { | |
| "text": "ูุณูู )", | |
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| { | |
| "text": "ุฃู:", | |
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| "text": "\\sigma_{n+1}", | |
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| { | |
| "text": "=", | |
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| "text": "\\sigma_n", | |
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| "text": "-", | |
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| { | |
| "text": "\\alpha", | |
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| "text": "f(\\sigma_n)", | |
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| "content": "ุฐููุ ูู ู ุฒุงุฏ ุนูู ุตูู ุฏุงูุฏุ ููุฏ ุชุฑู ุงูุฃูุถูุ ูุชุจุตูุฑุ ูุงููู ุชุนุงูู ุฃุนูู . (ููุงูู ุนูุจูุฏู ุงูููู ุจููู ุนูู ูุฑูู ุฑุถู", | |
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| "content": "ุงููู ุนูู: ููุฃููู ุฃูููููู ููุจูููุชู ุงูุซููููุงุซูุฉู ุฃููููุงู ู ุงูููุชูู ููุงูู ุฑูุณูููู ุงูููู ุตูู ุงููู ุนููู ูุณูู ) ุฃู:", | |
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