| { | |
| "markdown": "## ุชุนุฑูู\nูู ููุฒู ุจูุง ู ุซููุ ูุฎุฑุฌ ุฅูููู ุงูู ุนุฒู ูู ุฌู ูุนู ู ู ุตููุงุฌุฉ ูุงูุณูุฏุงู ูุญูุง ู ู ุซูุงุซูู ุฃููุงุ\n\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )\n## ุชุนุฑูู\nูุงูุนุฑุจ ูู ุซูุงุซุฉ ุขูุงู ููุฒู ูู ูุฃุซุฎููุง ูู ุตููุงุฌุฉ ุจุงููุชู ูุงุณุชุจุงุญููู ุ\n\\prod_{\\sigma=1}^{n} (1 \\leq x_\\sigma) = 0\n## ุชุนุฑูู\nูุฏุฎู ุงูู ุนุฒู ุงูููุฑูุงู ู ูุฒูู ุง. ุซู ุจูุชูู ููู ุงููุญุฑ ููู ูู ุงูุตูุงุฉ ููุฒู ูู ุฃุนุธู ู ู ุงูุฃููู. ุซู ุณุงุฑ ุฅูููู ุจุนุฏ ุฃู ุงุญุชุดุฏ ุฒูุงุชุฉ ู ุนู ูุงููุฒู ุซุงูุซุฉ ููุชู\n\\int_{4}^{N} \\max(t) \\, dt = n^2 \\approx C\n\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y )", | |
| "images": [], | |
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| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
| "height": 620, | |
| "width": 599 | |
| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 3 | |
| }, | |
| { | |
| "text": "ูู ", | |
| "confidence": 1.0, | |
| "start_index": 9 | |
| }, | |
| { | |
| "text": "ููุฒู", | |
| "confidence": 1.0, | |
| "start_index": 12 | |
| }, | |
| { | |
| "text": "ุจูุง", | |
| "confidence": 1.0, | |
| "start_index": 17 | |
| }, | |
| { | |
| "text": "ู ุซููุ", | |
| "confidence": 1.0, | |
| "start_index": 21 | |
| }, | |
| { | |
| "text": "ูุฎุฑุฌ", | |
| "confidence": 1.0, | |
| "start_index": 27 | |
| }, | |
| { | |
| "text": "ุฅูููู ", | |
| "confidence": 1.0, | |
| "start_index": 32 | |
| }, | |
| { | |
| "text": "ุงูู ุนุฒู", | |
| "confidence": 1.0, | |
| "start_index": 38 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 45 | |
| }, | |
| { | |
| "text": "ุฌู ูุนู", | |
| "confidence": 1.0, | |
| "start_index": 48 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 54 | |
| }, | |
| { | |
| "text": "ุตููุงุฌุฉ", | |
| "confidence": 1.0, | |
| "start_index": 57 | |
| }, | |
| { | |
| "text": "ูุงูุณูุฏุงู", | |
| "confidence": 1.0, | |
| "start_index": 64 | |
| }, | |
| { | |
| "text": "ูุญูุง", | |
| "confidence": 1.0, | |
| "start_index": 73 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 78 | |
| }, | |
| { | |
| "text": "ุซูุงุซูู", | |
| "confidence": 1.0, | |
| "start_index": 81 | |
| }, | |
| { | |
| "text": "ุฃููุงุ", | |
| "confidence": 1.0, | |
| "start_index": 88 | |
| }, | |
| { | |
| "text": "\\nabla_{n}", | |
| "confidence": 1.0, | |
| "start_index": 94 | |
| }, | |
| { | |
| "text": "J(n)", | |
| "confidence": 1.0, | |
| "start_index": 105 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 110 | |
| }, | |
| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
| "start_index": 112 | |
| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
| "start_index": 124 | |
| }, | |
| { | |
| "text": "(", | |
| "confidence": 1.0, | |
| "start_index": 128 | |
| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
| "start_index": 130 | |
| }, | |
| { | |
| "text": "n)", | |
| "confidence": 1.0, | |
| "start_index": 139 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 142 | |
| }, | |
| { | |
| "text": "Y", | |
| "confidence": 1.0, | |
| "start_index": 144 | |
| }, | |
| { | |
| "text": ")", | |
| "confidence": 1.0, | |
| "start_index": 146 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 148 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 151 | |
| }, | |
| { | |
| "text": "ูุงูุนุฑุจ", | |
| "confidence": 1.0, | |
| "start_index": 157 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 164 | |
| }, | |
| { | |
| "text": "ุซูุงุซุฉ", | |
| "confidence": 1.0, | |
| "start_index": 167 | |
| }, | |
| { | |
| "text": "ุขูุงู", | |
| "confidence": 1.0, | |
| "start_index": 173 | |
| }, | |
| { | |
| "text": "ููุฒู ูู", | |
| "confidence": 1.0, | |
| "start_index": 178 | |
| }, | |
| { | |
| "text": "ูุฃุซุฎููุง", | |
| "confidence": 1.0, | |
| "start_index": 185 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 193 | |
| }, | |
| { | |
| "text": "ุตููุงุฌุฉ", | |
| "confidence": 1.0, | |
| "start_index": 196 | |
| }, | |
| { | |
| "text": "ุจุงููุชู", | |
| "confidence": 1.0, | |
| "start_index": 203 | |
| }, | |
| { | |
| "text": "ูุงุณุชุจุงุญููู ุ", | |
| "confidence": 1.0, | |
| "start_index": 210 | |
| }, | |
| { | |
| "text": "\\prod_{\\sigma=1}^{n}", | |
| "confidence": 1.0, | |
| "start_index": 222 | |
| }, | |
| { | |
| "text": "(1", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\leq", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "x_\\sigma)", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 261 | |
| }, | |
| { | |
| "text": "0", | |
| "confidence": 1.0, | |
| "start_index": 263 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 265 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 268 | |
| }, | |
| { | |
| "text": "ูุฏุฎู", | |
| "confidence": 1.0, | |
| "start_index": 274 | |
| }, | |
| { | |
| "text": "ุงูู ุนุฒู", | |
| "confidence": 1.0, | |
| "start_index": 279 | |
| }, | |
| { | |
| "text": "ุงูููุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 286 | |
| }, | |
| { | |
| "text": "ู ูุฒูู ุง.", | |
| "confidence": 1.0, | |
| "start_index": 295 | |
| }, | |
| { | |
| "text": "ุซู ", | |
| "confidence": 1.0, | |
| "start_index": 303 | |
| }, | |
| { | |
| "text": "ุจูุชูู ", | |
| "confidence": 1.0, | |
| "start_index": 306 | |
| }, | |
| { | |
| "text": "ููู ", | |
| "confidence": 1.0, | |
| "start_index": 312 | |
| }, | |
| { | |
| "text": "ุงููุญุฑ", | |
| "confidence": 1.0, | |
| "start_index": 316 | |
| }, | |
| { | |
| "text": "ููู ", | |
| "confidence": 1.0, | |
| "start_index": 322 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 326 | |
| }, | |
| { | |
| "text": "ุงูุตูุงุฉ", | |
| "confidence": 1.0, | |
| "start_index": 329 | |
| }, | |
| { | |
| "text": "ููุฒู ูู", | |
| "confidence": 1.0, | |
| "start_index": 336 | |
| }, | |
| { | |
| "text": "ุฃุนุธู ", | |
| "confidence": 1.0, | |
| "start_index": 343 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 348 | |
| }, | |
| { | |
| "text": "ุงูุฃููู.", | |
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| }, | |
| { | |
| "text": "ุซู ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุณุงุฑ", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุฅูููู ", | |
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| }, | |
| { | |
| "text": "ุจุนุฏ", | |
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| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุงุญุชุดุฏ", | |
| "confidence": 1.0, | |
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| { | |
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| { | |
| "text": "ู ุนู", | |
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| "text": "ูุงููุฒู ", | |
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| { | |
| "text": "ุซุงูุซุฉ", | |
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| { | |
| "text": "ููุชู", | |
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| { | |
| "text": "\\int_{4}^{N}", | |
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| { | |
| "text": "\\max(t)", | |
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| { | |
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| { | |
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| { | |
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| { | |
| "text": "C", | |
| "confidence": 1.0, | |
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| { | |
| "text": "\\nabla_{j}", | |
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| { | |
| "text": "J(j)", | |
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| { | |
| "text": "=", | |
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| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "(", | |
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| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "j)", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "Y", | |
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| }, | |
| { | |
| "text": ")", | |
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| }, | |
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| "content": "ูู ููุฒู ุจูุง ู ุซููุ ูุฎุฑุฌ ุฅูููู ุงูู ุนุฒู ูู ุฌู ูุนู ู ู ุตููุงุฌุฉ ูุงูุณูุฏุงู ูุญูุง ู ู ุซูุงุซูู ุฃููุงุ", | |
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| "content": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )", | |
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| "content": "ูุงูุนุฑุจ ูู ุซูุงุซุฉ ุขูุงู ููุฒู ูู ูุฃุซุฎููุง ูู ุตููุงุฌุฉ ุจุงููุชู ูุงุณุชุจุงุญููู ุ", | |
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| "content": "\\int_{4}^{N} \\max(t) \\, dt = n^2 \\approx C", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
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| "top_left_x": 20, | |
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| "content": "\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y )", | |
| "type": "text", | |
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