| { | |
| "markdown": "## ุชุนุฑูู\nู ููู ูููููููู ููุฏู ุนูููู ูุง โฆ \"ููุงูุนูููู ู ุงุญูููููููู\" ุฃูููู ุงูุนูููู ูุง 7537 - ู ูุญูุฑููููุง ุญูููุงููุฉู ููููุฏููุฑูุง โฆ ุฅูุนูุฑูุงุจููู ูููููู ููููููู ุฎูุจูุฑูุง 7538\n\\prod_{\\alpha=1}^{n} (1 = \\lambda_\\alpha) = 0\n## ุจุฑูุงู\n- ุฅููู ุถูู ูู ุฃููู ููุณูุฑู ุฃููู ุฅููู ุงููููุชูุญู โฆ ููุงูู ูุจูุชูุฏูุง ููููุธูุฉู \"ู ููู\" ุนูููู ุงูุฃูุตูุญูู 7539 - ููุฐูุงูู ู ูุง\n\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )\n## ุชุนุฑูู\nููุญูููู ุจูููููุธู ุฃูุนูุฑูุจูุง โฆ ูููููู ููููููู ููู ุงูุฃูุตูุญูู ู ูุนูุฑูุจูุง 7540 - ุฃูู ููุง ุงูุฐูู ููุญูููู ุจูู ูุจูููููู ููููุง โฆ ููุนูุฑูุจู ุธูุงููุฑูุง ููููุง ู ูุคููููููุง\n\\int_{5}^{\\infty} \\ln(\\sigma) \\, d\\sigma = i^2 - C + \\frac{j}{\\beta^2}", | |
| "images": [], | |
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| "hyperlinks": [], | |
| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
| "height": 512, | |
| "width": 617 | |
| }, | |
| "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": "ูููููููู", | |
| "confidence": 1.0, | |
| "start_index": 14 | |
| }, | |
| { | |
| "text": "ููุฏู", | |
| "confidence": 1.0, | |
| "start_index": 23 | |
| }, | |
| { | |
| "text": "ุนูููู ูุง", | |
| "confidence": 1.0, | |
| "start_index": 28 | |
| }, | |
| { | |
| "text": "โฆ", | |
| "confidence": 1.0, | |
| "start_index": 36 | |
| }, | |
| { | |
| "text": "\"ููุงูุนูููู ู", | |
| "confidence": 1.0, | |
| "start_index": 38 | |
| }, | |
| { | |
| "text": "ุงุญูููููููู\"", | |
| "confidence": 1.0, | |
| "start_index": 50 | |
| }, | |
| { | |
| "text": "ุฃูููู", | |
| "confidence": 1.0, | |
| "start_index": 62 | |
| }, | |
| { | |
| "text": "ุงูุนูููู ูุง", | |
| "confidence": 1.0, | |
| "start_index": 68 | |
| }, | |
| { | |
| "text": "7537", | |
| "confidence": 1.0, | |
| "start_index": 78 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 83 | |
| }, | |
| { | |
| "text": "ู ูุญูุฑููููุง", | |
| "confidence": 1.0, | |
| "start_index": 85 | |
| }, | |
| { | |
| "text": "ุญูููุงููุฉู", | |
| "confidence": 1.0, | |
| "start_index": 96 | |
| }, | |
| { | |
| "text": "ููููุฏููุฑูุง", | |
| "confidence": 1.0, | |
| "start_index": 106 | |
| }, | |
| { | |
| "text": "โฆ", | |
| "confidence": 1.0, | |
| "start_index": 117 | |
| }, | |
| { | |
| "text": "ุฅูุนูุฑูุงุจููู", | |
| "confidence": 1.0, | |
| "start_index": 119 | |
| }, | |
| { | |
| "text": "ูููููู", | |
| "confidence": 1.0, | |
| "start_index": 131 | |
| }, | |
| { | |
| "text": "ููููููู", | |
| "confidence": 1.0, | |
| "start_index": 138 | |
| }, | |
| { | |
| "text": "ุฎูุจูุฑูุง", | |
| "confidence": 1.0, | |
| "start_index": 146 | |
| }, | |
| { | |
| "text": "7538", | |
| "confidence": 1.0, | |
| "start_index": 154 | |
| }, | |
| { | |
| "text": "\\prod_{\\alpha=1}^{n}", | |
| "confidence": 1.0, | |
| "start_index": 159 | |
| }, | |
| { | |
| "text": "(1", | |
| "confidence": 1.0, | |
| "start_index": 180 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 183 | |
| }, | |
| { | |
| "text": "\\lambda_\\alpha)", | |
| "confidence": 1.0, | |
| "start_index": 185 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 201 | |
| }, | |
| { | |
| "text": "0", | |
| "confidence": 1.0, | |
| "start_index": 203 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 205 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 208 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 214 | |
| }, | |
| { | |
| "text": "ุฅููู", | |
| "confidence": 1.0, | |
| "start_index": 216 | |
| }, | |
| { | |
| "text": "ุถูู ูู", | |
| "confidence": 1.0, | |
| "start_index": 221 | |
| }, | |
| { | |
| "text": "ุฃููู", | |
| "confidence": 1.0, | |
| "start_index": 227 | |
| }, | |
| { | |
| "text": "ููุณูุฑู", | |
| "confidence": 1.0, | |
| "start_index": 232 | |
| }, | |
| { | |
| "text": "ุฃููู", | |
| "confidence": 1.0, | |
| "start_index": 239 | |
| }, | |
| { | |
| "text": "ุฅููู", | |
| "confidence": 1.0, | |
| "start_index": 244 | |
| }, | |
| { | |
| "text": "ุงููููุชูุญู", | |
| "confidence": 1.0, | |
| "start_index": 249 | |
| }, | |
| { | |
| "text": "โฆ", | |
| "confidence": 1.0, | |
| "start_index": 259 | |
| }, | |
| { | |
| "text": "ููุงูู ูุจูุชูุฏูุง", | |
| "confidence": 1.0, | |
| "start_index": 261 | |
| }, | |
| { | |
| "text": "ููููุธูุฉู", | |
| "confidence": 1.0, | |
| "start_index": 275 | |
| }, | |
| { | |
| "text": "\"ู ููู\"", | |
| "confidence": 1.0, | |
| "start_index": 284 | |
| }, | |
| { | |
| "text": "ุนูููู", | |
| "confidence": 1.0, | |
| "start_index": 291 | |
| }, | |
| { | |
| "text": "ุงูุฃูุตูุญูู", | |
| "confidence": 1.0, | |
| "start_index": 297 | |
| }, | |
| { | |
| "text": "7539", | |
| "confidence": 1.0, | |
| "start_index": 307 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 312 | |
| }, | |
| { | |
| "text": "ููุฐูุงูู", | |
| "confidence": 1.0, | |
| "start_index": 314 | |
| }, | |
| { | |
| "text": "ู ูุง", | |
| "confidence": 1.0, | |
| "start_index": 322 | |
| }, | |
| { | |
| "text": "\\nabla_{n}", | |
| "confidence": 1.0, | |
| "start_index": 326 | |
| }, | |
| { | |
| "text": "J(n)", | |
| "confidence": 1.0, | |
| "start_index": 337 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 342 | |
| }, | |
| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
| "start_index": 344 | |
| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
| "start_index": 356 | |
| }, | |
| { | |
| "text": "(", | |
| "confidence": 1.0, | |
| "start_index": 360 | |
| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
| "start_index": 362 | |
| }, | |
| { | |
| "text": "n)", | |
| "confidence": 1.0, | |
| "start_index": 371 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 374 | |
| }, | |
| { | |
| "text": "Y", | |
| "confidence": 1.0, | |
| "start_index": 376 | |
| }, | |
| { | |
| "text": ")", | |
| "confidence": 1.0, | |
| "start_index": 378 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 380 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 383 | |
| }, | |
| { | |
| "text": "ููุญูููู", | |
| "confidence": 1.0, | |
| "start_index": 389 | |
| }, | |
| { | |
| "text": "ุจูููููุธู", | |
| "confidence": 1.0, | |
| "start_index": 397 | |
| }, | |
| { | |
| "text": "ุฃูุนูุฑูุจูุง", | |
| "confidence": 1.0, | |
| "start_index": 406 | |
| }, | |
| { | |
| "text": "โฆ", | |
| "confidence": 1.0, | |
| "start_index": 416 | |
| }, | |
| { | |
| "text": "ูููููู", | |
| "confidence": 1.0, | |
| "start_index": 418 | |
| }, | |
| { | |
| "text": "ููููููู", | |
| "confidence": 1.0, | |
| "start_index": 425 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 433 | |
| }, | |
| { | |
| "text": "ุงูุฃูุตูุญูู", | |
| "confidence": 1.0, | |
| "start_index": 437 | |
| }, | |
| { | |
| "text": "ู ูุนูุฑูุจูุง", | |
| "confidence": 1.0, | |
| "start_index": 447 | |
| }, | |
| { | |
| "text": "7540", | |
| "confidence": 1.0, | |
| "start_index": 457 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 462 | |
| }, | |
| { | |
| "text": "ุฃูู ููุง", | |
| "confidence": 1.0, | |
| "start_index": 464 | |
| }, | |
| { | |
| "text": "ุงูุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 471 | |
| }, | |
| { | |
| "text": "ููุญูููู", | |
| "confidence": 1.0, | |
| "start_index": 477 | |
| }, | |
| { | |
| "text": "ุจูู ูุจูููููู", | |
| "confidence": 1.0, | |
| "start_index": 485 | |
| }, | |
| { | |
| "text": "ููููุง", | |
| "confidence": 1.0, | |
| "start_index": 497 | |
| }, | |
| { | |
| "text": "โฆ", | |
| "confidence": 1.0, | |
| "start_index": 503 | |
| }, | |
| { | |
| "text": "ููุนูุฑูุจู", | |
| "confidence": 1.0, | |
| "start_index": 505 | |
| }, | |
| { | |
| "text": "ุธูุงููุฑูุง", | |
| "confidence": 1.0, | |
| "start_index": 514 | |
| }, | |
| { | |
| "text": "ููููุง", | |
| "confidence": 1.0, | |
| "start_index": 523 | |
| }, | |
| { | |
| "text": "ู ูุคููููููุง", | |
| "confidence": 1.0, | |
| "start_index": 529 | |
| }, | |
| { | |
| "text": "\\int_{5}^{\\infty}", | |
| "confidence": 1.0, | |
| "start_index": 540 | |
| }, | |
| { | |
| "text": "\\ln(\\sigma)", | |
| "confidence": 1.0, | |
| "start_index": 558 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 570 | |
| }, | |
| { | |
| "text": "d\\sigma", | |
| "confidence": 1.0, | |
| "start_index": 573 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 581 | |
| }, | |
| { | |
| "text": "i^2", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "C", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\frac{j}{\\beta^2}", | |
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| }, | |
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| "content": "ู ููู ูููููููู ููุฏู ุนูููู ูุง โฆ \"ููุงูุนูููู ู ุงุญูููููููู\" ุฃูููู ุงูุนูููู ูุง 7537 - ู ูุญูุฑููููุง ุญูููุงููุฉู ููููุฏููุฑูุง โฆ ุฅูุนูุฑูุงุจููู ูููููู ููููููู ุฎูุจูุฑูุง 7538", | |
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| "top_left_x": 32, | |
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| "content": "\\prod_{\\alpha=1}^{n} (1 = \\lambda_\\alpha) = 0", | |
| "type": "text", | |
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| }, | |
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| "type": "title", | |
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| "reading_index": 4 | |
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| "top_left_x": 32, | |
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| "content": "- ุฅููู ุถูู ูู ุฃููู ููุณูุฑู ุฃููู ุฅููู ุงููููุชูุญู โฆ ููุงูู ูุจูุชูุฏูุง ููููุธูุฉู \"ู ููู\" ุนูููู ุงูุฃูุตูุญูู 7539 - ููุฐูุงูู ู ูุง", | |
| "type": "text", | |
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| "reading_index": 5 | |
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| "top_left_x": 32, | |
| "top_left_y": 241, | |
| "bottom_right_x": 581, | |
| "bottom_right_y": 292, | |
| "content": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
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| "top_left_x": 32, | |
| "top_left_y": 336, | |
| "bottom_right_x": 581, | |
| "bottom_right_y": 353, | |
| "content": "ุชุนุฑูู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 358, | |
| "bottom_right_x": 581, | |
| "bottom_right_y": 380, | |
| "content": "ููุญูููู ุจูููููุธู ุฃูุนูุฑูุจูุง โฆ ูููููู ููููููู ููู ุงูุฃูุตูุญูู ู ูุนูุฑูุจูุง 7540 - ุฃูู ููุง ุงูุฐูู ููุญูููู ุจูู ูุจูููููู ููููุง โฆ ููุนูุฑูุจู ุธูุงููุฑูุง ููููุง ู ูุคููููููุง", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
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