| { | |
| "markdown": "## ู ุจุฑููุฉ\nุซูููุง ุงููููุถูุฑู ุจููู ุฅูุณูู ูุงุนูููู ุงููุจูุฌููููููุ ุซูููุง ุฃูุจูู ุญูู ูุฒูุฉู ุงูุซููู ูุงูููููุ ุนููู ุณูุนููุฏู ุจููู ุฌูุจูููุฑูุ ุนููู ุนูู ูุฑูุงูู ุจููู ุญูุตููููู ุฑุถู ุงููู ุนูู ุฃูููู\n\\iint_{D} \\lambda^2 \\leq k^2 \\, dx \\, dy\nt_{n+1} = t_n - \\alpha \\nabla f(t_n) + \\frac{\\beta}{k^2}", | |
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| "hyperlinks": [], | |
| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
| "height": 291, | |
| "width": 684 | |
| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "ู ุจุฑููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 3 | |
| }, | |
| { | |
| "text": "ุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 10 | |
| }, | |
| { | |
| "text": "ุงููููุถูุฑู", | |
| "confidence": 1.0, | |
| "start_index": 16 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 26 | |
| }, | |
| { | |
| "text": "ุฅูุณูู ูุงุนูููู", | |
| "confidence": 1.0, | |
| "start_index": 31 | |
| }, | |
| { | |
| "text": "ุงููุจูุฌููููููุ", | |
| "confidence": 1.0, | |
| "start_index": 44 | |
| }, | |
| { | |
| "text": "ุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 58 | |
| }, | |
| { | |
| "text": "ุฃูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 64 | |
| }, | |
| { | |
| "text": "ุญูู ูุฒูุฉู", | |
| "confidence": 1.0, | |
| "start_index": 70 | |
| }, | |
| { | |
| "text": "ุงูุซููู ูุงูููููุ", | |
| "confidence": 1.0, | |
| "start_index": 79 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 94 | |
| }, | |
| { | |
| "text": "ุณูุนููุฏู", | |
| "confidence": 1.0, | |
| "start_index": 99 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 107 | |
| }, | |
| { | |
| "text": "ุฌูุจูููุฑูุ", | |
| "confidence": 1.0, | |
| "start_index": 112 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 122 | |
| }, | |
| { | |
| "text": "ุนูู ูุฑูุงูู", | |
| "confidence": 1.0, | |
| "start_index": 127 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 137 | |
| }, | |
| { | |
| "text": "ุญูุตููููู", | |
| "confidence": 1.0, | |
| "start_index": 142 | |
| }, | |
| { | |
| "text": "ุฑุถู", | |
| "confidence": 1.0, | |
| "start_index": 151 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 155 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 160 | |
| }, | |
| { | |
| "text": "ุฃูููู", | |
| "confidence": 1.0, | |
| "start_index": 164 | |
| }, | |
| { | |
| "text": "\\iint_{D}", | |
| "confidence": 1.0, | |
| "start_index": 170 | |
| }, | |
| { | |
| "text": "\\lambda^2", | |
| "confidence": 1.0, | |
| "start_index": 180 | |
| }, | |
| { | |
| "text": "\\leq", | |
| "confidence": 1.0, | |
| "start_index": 190 | |
| }, | |
| { | |
| "text": "k^2", | |
| "confidence": 1.0, | |
| "start_index": 195 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 199 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 202 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 205 | |
| }, | |
| { | |
| "text": "dy", | |
| "confidence": 1.0, | |
| "start_index": 208 | |
| }, | |
| { | |
| "text": "t_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 211 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 219 | |
| }, | |
| { | |
| "text": "t_n", | |
| "confidence": 1.0, | |
| "start_index": 221 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 225 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 227 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 234 | |
| }, | |
| { | |
| "text": "f(t_n)", | |
| "confidence": 1.0, | |
| "start_index": 241 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 248 | |
| }, | |
| { | |
| "text": "\\frac{\\beta}{k^2}", | |
| "confidence": 1.0, | |
| "start_index": 250 | |
| } | |
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| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
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| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
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| "content": "ุซูููุง ุงููููุถูุฑู ุจููู ุฅูุณูู ูุงุนูููู ุงููุจูุฌููููููุ ุซูููุง ุฃูุจูู ุญูู ูุฒูุฉู ุงูุซููู ูุงูููููุ ุนููู ุณูุนููุฏู ุจููู ุฌูุจูููุฑูุ ุนููู ุนูู ูุฑูุงูู ุจููู ุญูุตููููู ุฑุถู ุงููู ุนูู ุฃูููู", | |
| "type": "text", | |
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| "content": "\\iint_{D} \\lambda^2 \\leq k^2 \\, dx \\, dy", | |
| "type": "text", | |
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| "content": "t_{n+1} = t_n - \\alpha \\nabla f(t_n) + \\frac{\\beta}{k^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
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| "language": "ar", | |
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