| { | |
| "markdown": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ู ุจุฑููุฉ\nุจูุ ูููุฐุง ูุงู ู ุง ุฐูุจ ุฅููู ุงูู ุตูู ุชูููุง ูุชุทูุจุง ูู ุง ูุง ููุตุฏ ูู ุงูุงุณุชุนู ุงู ููุง ูุชุนูู ุจู\n\\mathbb{E}[\\beta] = \\int x f_\\beta(x) dx\n## ูุธุฑูุฉ\nุงูุบุฑุถ ูู ุงูุชุฑุงููุจ- ูุชุฃู ู ุฐูู ูุฅูู ุตุนุจ ููู ู ุนูู ูุซูุฑ. ุงูู ููุงู ู. (ูููู: ูุฅูุง ููู ูู ุชูุฏูุฑู) ุงูุฃููู ุฃู ูููู:\n\\vec{F} = m\\vec{a} + \\frac{i}{\\sigma^2}", | |
| "images": [], | |
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| "hyperlinks": [], | |
| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
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| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "P(A|B)", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 7 | |
| }, | |
| { | |
| "text": "\\frac{P(A", | |
| "confidence": 1.0, | |
| "start_index": 9 | |
| }, | |
| { | |
| "text": "\\cap", | |
| "confidence": 1.0, | |
| "start_index": 19 | |
| }, | |
| { | |
| "text": "B)}{P(B)}", | |
| "confidence": 1.0, | |
| "start_index": 24 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 34 | |
| }, | |
| { | |
| "text": "ู ุจุฑููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 37 | |
| }, | |
| { | |
| "text": "ุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 44 | |
| }, | |
| { | |
| "text": "ูููุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 48 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 54 | |
| }, | |
| { | |
| "text": "ู ุง", | |
| "confidence": 1.0, | |
| "start_index": 58 | |
| }, | |
| { | |
| "text": "ุฐูุจ", | |
| "confidence": 1.0, | |
| "start_index": 61 | |
| }, | |
| { | |
| "text": "ุฅููู", | |
| "confidence": 1.0, | |
| "start_index": 65 | |
| }, | |
| { | |
| "text": "ุงูู ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 70 | |
| }, | |
| { | |
| "text": "ุชูููุง", | |
| "confidence": 1.0, | |
| "start_index": 77 | |
| }, | |
| { | |
| "text": "ูุชุทูุจุง", | |
| "confidence": 1.0, | |
| "start_index": 83 | |
| }, | |
| { | |
| "text": "ูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 90 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 94 | |
| }, | |
| { | |
| "text": "ููุตุฏ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 102 | |
| }, | |
| { | |
| "text": "ุงูุงุณุชุนู ุงู", | |
| "confidence": 1.0, | |
| "start_index": 105 | |
| }, | |
| { | |
| "text": "ููุง", | |
| "confidence": 1.0, | |
| "start_index": 115 | |
| }, | |
| { | |
| "text": "ูุชุนูู", | |
| "confidence": 1.0, | |
| "start_index": 119 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 125 | |
| }, | |
| { | |
| "text": "\\mathbb{E}[\\beta]", | |
| "confidence": 1.0, | |
| "start_index": 128 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 146 | |
| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 148 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 153 | |
| }, | |
| { | |
| "text": "f_\\beta(x)", | |
| "confidence": 1.0, | |
| "start_index": 155 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 169 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 172 | |
| }, | |
| { | |
| "text": "ุงูุบุฑุถ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุงูุชุฑุงููุจ-", | |
| "confidence": 1.0, | |
| "start_index": 187 | |
| }, | |
| { | |
| "text": "ูุชุฃู ู", | |
| "confidence": 1.0, | |
| "start_index": 197 | |
| }, | |
| { | |
| "text": "ุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 203 | |
| }, | |
| { | |
| "text": "ูุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 207 | |
| }, | |
| { | |
| "text": "ุตุนุจ", | |
| "confidence": 1.0, | |
| "start_index": 212 | |
| }, | |
| { | |
| "text": "ููู ู", | |
| "confidence": 1.0, | |
| "start_index": 216 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 221 | |
| }, | |
| { | |
| "text": "ูุซูุฑ.", | |
| "confidence": 1.0, | |
| "start_index": 225 | |
| }, | |
| { | |
| "text": "ุงูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ููุงู ู.", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "(ูููู:", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุฅูุง", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ููู ูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุชูุฏูุฑู)", | |
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| }, | |
| { | |
| "text": "ุงูุฃููู", | |
| "confidence": 1.0, | |
| "start_index": 268 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูููู:", | |
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| }, | |
| { | |
| "text": "\\vec{F}", | |
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| }, | |
| { | |
| "text": "=", | |
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| "text": "m\\vec{a}", | |
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| { | |
| "text": "+", | |
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| "text": "\\frac{i}{\\sigma^2}", | |
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| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
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| "content": "ู ุจุฑููุฉ", | |
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| "content": "ุจูุ ูููุฐุง ูุงู ู ุง ุฐูุจ ุฅููู ุงูู ุตูู ุชูููุง ูุชุทูุจุง ูู ุง ูุง ููุตุฏ ูู ุงูุงุณุชุนู ุงู ููุง ูุชุนูู ุจู", | |
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| "content": "\\mathbb{E}[\\beta] = \\int x f_\\beta(x) dx", | |
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| "content": "ุงูุบุฑุถ ูู ุงูุชุฑุงููุจ- ูุชุฃู ู ุฐูู ูุฅูู ุตุนุจ ููู ู ุนูู ูุซูุฑ. ุงูู ููุงู ู. (ูููู: ูุฅูุง ููู ูู ุชูุฏูุฑู) ุงูุฃููู ุฃู ูููู:", | |
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| "content": "\\vec{F} = m\\vec{a} + \\frac{i}{\\sigma^2}", | |
| "type": "text", | |
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