dataset / data /run_test_2_002 /annotations /sample_0000207.json
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{
"markdown": "ุชุงุฑูŠุฎ ุงู„ุญุถุงุฑุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ููŠ ุงู„ุฃู†ุฏู„ุณ\nุงู„ู…ู„ุฎุต: ยป. โ€Œ โ€Œู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูˆูˆู‚ุน ู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูู‰ ู‚ุตุฉ ู…ุชุธู„ู…: ยซุฃุชุงูƒ ุงู„ุบูˆุซ ุฅู† ูƒู†ุช ุตุงุฏู‚ุงุŒ ูˆุญู„ ุจูƒ ุงู„ู†ู‘ูƒุงู„ ุฅู† ูƒู†ุช ูƒุงุฐุจุงุŒ ูุชู‚ุฏู‘ู… ุฃูˆ ุชุฃุฎู‘ุฑยป. ูˆูู‰ ู‚ุตุฉ ู‚ูˆู… ุดูƒูˆุง ุฃู…ูŠุฑู‡ู…: ยซุฅู† ุตุญู‘ ู…ุง ุงุฏุนูŠุชู… ุนู„ูŠู‡ ุนุฒู„ู†ุงู‡ ูˆุนุงู‚ุจู†ุงู‡ยป. ยซูˆุฅู„ู‰ ุตุงุญุจ ุฎุฑุงุณุงู† ุญูŠู† ุฃู…ุฑู‡ ุจู…ุญุงุฑุจุฉ ุงู„ุชุฑูƒ: ยซุงุญุฐุฑ ู„ูŠุงู„ู‰ ุงู„ุจูŠุงุช (2)ยป. ูˆุฅู„ู‰ ุตุงุญุจ ุงู„ู…ุฏูŠู†ุฉุŒ ูˆูƒุชุจ ูŠุฎุจุฑู‡\nุงู„ุฎู„ุงุตุฉ ุงู„ุชู†ููŠุฐูŠุฉ ูˆุฃุจุฑุฒ ุงู„ู†ุชุงุฆุฌ\nุจูˆุซูˆุจ ุฃุจู†ุงุก ุงู„ุฃู†ุตุงุฑ: ยซุงุญูุธ ููŠู‡ู… ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ูˆู‡ุจู‡ู… ู„ู‡ยป. ูˆูˆู‚ุน ูู‰ ุฑู‚ุนุฉ ู…ุญุจูˆุณ ู„ุฒู…ู‡ ุงู„ุญุฏู‘: ยซู†ุฒู„ ุจุญุฏู‘ูƒ ุงู„ูƒุชุงุจยป.\nุงู„ุฅุทุงุฑ ุงู„ู†ุธุฑูŠ ูˆุงู„ู…ูุงู‡ูŠู…ูŠ ู„ู„ุฏุฑุงุณุฉ\nุจู† ุนุงู…ุฑ 90 ู†ุตุฑ ุจู† ุณูŠุงุฑ 393ุŒ 479ุŒ 480ุŒ 481ุŒ 483 ู‡ู€ ู‡ุดุงู… ุจู† ุฅุณู…ุนูŠู„ 236 ู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 337ุŒ 341ุŒ 345ุŒ 351ุŒ 353ุŒ 355ุŒ 356ุŒ 357ุŒ 359ุŒ 360ุŒ 362ุŒ 366ุŒ 368ุŒ 369ุŒ 377ุŒ 379ุŒ 497 ูˆุงู„ูˆู„ูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 240ุŒ 240ุŒ 247ุŒ 251ุŒ 253ุŒ 253ุŒ 255ุŒ 494 ุงู„ูˆู„ูŠุฏ ุจู† ูŠุฒูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 375ุŒ 378 381ุŒ 384ุŒ 391ุŒ 393ุŒ 393ุŒ 394 ูˆู‡ุจ ุจู† ู…ู†ุจู‡ 286 ู‰ ูŠุฒูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 337ุŒ 337ุŒ 338 393ุŒ 497 ูŠุฒูŠุฏ ุจู† ู…ุนุงูˆูŠุฉ 69ุŒ 75ุŒ 78ุŒ 85ุŒ 86ุŒ 492 ูŠุฒูŠุฏ ุจู† ุงู„ู…ู‡ู„ุจ 203ุŒ 204ุŒ 260 ูŠุฒูŠุฏ ุจู† ุงู„ูˆู„ูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ\n\\prod_{\\lambda=1}^{n} (1 \\approx \\alpha_\\lambda) = 0 + \\frac{x}{z^2}\nูˆุงู„ุฏู‘ูŠู‘ุงุช ู„ุง ูŠูุถู„ ุดุฑูŠู ุนู„ู‰ ูˆุถูŠุนุŒ ูˆุงู„ู„ุงุฆู‚ ุจุญุงู„ู‡ู… ุฃู† ูŠูƒูˆู†ูˆุง ูƒูŠุฏ ูˆุงุญุฏุฉ ููŠ ุงู„ุชู‘ุนุงูˆู† ูˆุงู„ุชู‘ุนุงุถุฏ ุนู„ู‰ ุงู„ุฃุนุฏุงุกุŒ ููƒู…ุง ุฃู†ู‘ ุงู„ูŠุฏ ุงู„ูˆุงุญุฏุฉ ู„ุง ูŠู…ูƒู† ุฃู† ูŠู…ูŠู„ ุจุนุถู‡ุง ุฅู„ู‰ ุฌุงู†ุจ ูˆุจุนุถู‡ุง ุฅู„ู‰ ุฌุงู†ุจ ุขุฎุฑุŒ ููƒุฐู„ูƒ ุงู„ู„ุงุฆู‚ ุจุดุฃู† ุงู„ู…ุคู…ู†ูŠู†ุŒ ูˆูŠุณุนู‰ ุจุนู‡ุฏู‡ู… ูˆุนู‚ุฏู‡ู… ุฃู‚ู„ู‡ู… ุนุฏุฏุงู‹ ูˆู‡ูˆ ุงู„ูˆุงุญุฏุŒ ูˆุฃู‚ู„ู‘ู‡ู… ุฑุชุจุฉ ูˆู‡ูˆ ุงู„ุนุจุฏ. โ€Œ โ€Œุซุงู„ุซุงู‹: ู…ู† ุฃู…ุซู„ุฉ ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉ ูˆู…ุณุงุฆู„ู‡ุง: ุฅุฐุง ู‚ุชู„ ุฃุนู„ู‰ ุงู„ู†ู‘ุงุณ ุฑุชุจุฉ ุฃู‚ู„ู‘ูŽู‡ู… ู…ูƒุงู†ุฉ ููŠ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุณู„ู… ุนู…ุฏุงู‹ุŒ ูุฅู†ู‘ ุงู„ู‚ุตุงุต ุญู‚ู‘ ู„ูˆู„ูŠ ุงู„ู‚ุชูŠู„ุŒ ู…ู‡ู…ุง ูƒุงู†ุช ู…ูƒุงู†ุฉ ุงู„ู‚ุงุชู„ุŒ ุฅู„ุง ุฃู† ูŠุฑุถู‰ ุจุงู„ุฏู‘ูŠู‘ุฉุŒ ุฃูˆ ูŠุนููˆ. ูˆู…ู†ู‡ุง: ุฅุฐุง ุฃุฌุงุฑุช ุงู…ุฑุฃุฉ ู…ู† ุงู„ู…ุณู„ู…ูŠู† ุฃูˆ ุนุจุฏ ู…ุณู„ู… ู…ู† ุนุจูŠุฏู‡ู… ูƒุงูุฑุงู‹ ุฃูˆ ุทุงู„ุจ ุฌููˆุงุฑ ูุฅู†ู‘ ุนู„ู‰ ุงู„ู…ุณู„ู…ูŠู† ุฃู† ูŠุญูุธูˆุง ุฌูˆุงุฑ ู‡ุฐู‡ ุงู„ู…ุฑุฃุฉ ุฃูˆ ู‡ุฐุง ุงู„ุนุจุฏ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\nู‚ุงุฆู…ุฉ ุงู„ู…ุฑุงุฌุน ูˆุงู„ู…ุตุงุฏุฑ ุงู„ุชูˆุซูŠู‚ูŠุฉ\nุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุฅุฐ ุฌูŠุก ูู‚ูŠู„ ู„ู‡: ุฅู†ู‡ ูƒุงู† ุจูŠู† ุฃู‡ู„ ู‚ุจุงุก ุดูŠุกุŒ ูุงู†ุทู„ู‚ ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุฅู„ูŠู‡ู… ู„ูŠุตู„ุญ ุจูŠู†ู‡ู…ุŒ ูุฃุจุทุฃ ุนู„ู‰ ุงู„ู†ุงุณ\" ูู‚ุงู„ ุจู„ุงู„ ู„ุฃุจูŠ ุจูƒุฑ: \"ุฃู„ุง ุฃู‚ูŠู… ุงู„ุตู„ุงุฉุŸ \" ู‚ุงู„: \"ู…ุง ุดุฆุชุŒ ูุฃู‚ุงู… ุจู„ุงู„ ูู‚ุฏู… ุงู„ู†ุงุณ ุฃุจุง ุจูƒุฑ ูุจูŠู†ุง ู‡ูˆ ูŠุตู„ูŠ ุฃู‚ุจู„ ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ูุฌุนู„ ูŠุดู‚ ุงู„ุตููˆู ุญุชู‰ ู‚ุงู… ุฎู„ู ุฃุจูŠ ุจูƒุฑุŒ ูุฌุนู„ูˆุง ูŠุตูู‚ูˆู†ุŒ ูˆูƒุงู† ู„ุง ูŠู„ุชูุช ููŠ ุงู„ุตู„ุงุฉุŒ ูู„ู…ุง ุฃูƒุซุฑูˆุง ุงู„ุชูุชุŒ ูุฅุฐุง ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ู‚ุงุฆู… ุฎู„ูู‡ุŒ ูุฃุดุงุฑ ุฅู„ูŠู‡ ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุฃู† ูŠุตู„ูŠ ูƒู…ุง ู‡ูˆ ูู†ูƒุต ุฅู„ู‰ ูˆุฑุงุฆู‡ุŒ ูˆุชู‚ุฏู… ุงู„ู†ุจูŠ\nุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ\n97ุŒ 398 402ุŒ 498 ูŠูˆุณู ุจู† ุนู…ุฑ ุงู„ุซู‚ูู‰ 357ุŒ 359ุŒ 365 366ุŒ 473 ุชู… ูู‡ุฑุณ ุงู„ูƒุชุงุจ\nุงู„ุขู„ูŠุงุช ูˆุงู„ุฅุฌุฑุงุกุงุช ุงู„ู…ุชุจุนุฉ\nุงู„ู‚ุงุชู„ุŒ ุฅู„ุง ุฃู† ูŠุฑุถู‰ ุจุงู„ุฏู‘ูŠู‘ุฉุŒ ุฃูˆ ูŠุนููˆ. ูˆู…ู†ู‡ุง: ุฅุฐุง ุฃุฌุงุฑุช ุงู…ุฑุฃุฉ ู…ู† ุงู„ู…ุณู„ู…ูŠู† ุฃูˆ ุนุจุฏ ู…ุณู„ู… ู…ู† ุนุจูŠุฏู‡ู… ูƒุงูุฑุงู‹ ุฃูˆ ุทุงู„ุจ ุฌููˆุงุฑ ูุฅู†ู‘ ุนู„ู‰ ุงู„ู…ุณู„ู…ูŠู† ุฃู† ูŠุญูุธูˆุง ุฌูˆุงุฑ ู‡ุฐู‡ ุงู„ู…ุฑุฃุฉ ุฃูˆ ู‡ุฐุง ุงู„ุนุจุฏ ูู„ุง ูŠุฎูุฑูˆู‡. ูƒู…ุง ูุนู„ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุญูŠู†ู…ุง ุฃุฌุงุฑุช ุฃู… ู‡ุงู†ุฆ ุจู†ุช ุฃุจูŠ ุทุงู„ุจ ุฑุถูŠ ุงู„ู„ู‡ ุนู†ู‡ุง ุจุนุถ ุฃุญู…ุงุฆู‡ุง - ููŠ ุบุฒูˆุฉ ุงู„ูุชุญ - ูุฃุฌุงุฑ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ู…ู† ุฃุฌุงุฑุช (1).\nู…ู†ุงู‚ุดุฉ ูˆุชูุณูŠุฑ ุงู„ู†ุชุงุฆุฌ ุงู„ุนุงู…ุฉ\nูˆู…ู†ู‡ุง: ุฑุฌู„ ุชุณุญู‘ุฑ ููŠ ุดู‡ุฑ ุฑู…ุถุงู† ูˆู‚ุฏ ุทู„ุน ุงู„ูุฌุฑ - ูˆู‡ูˆ ู„ุง ูŠุนู„ู… ุจู‡ - ูุนู†ุฏ ุงู„ุญู†ููŠู‘ุฉ ูุณุฏ ุตูˆู…ู‡ุŒ ูˆุนู†ุฏ ุงุจู† ุฃุจูŠ ู„ูŠู„ู‰ ุตุญู‘ ุตูˆู…ู‡ ู‚ูŠุงุณุงู‹ ุนู„ู‰ ุงู„ู†ู‘ุงุณูŠ. ูˆุนู†ุฏ ุงู„ุญู†ููŠุฉ: ุฅู†ู‘ ุงู„ู…ุฎุทุฆ ู„ูŠุณ ูƒุงู„ู†ู‘ุงุณูŠุ› ู„ุฃู†ู‘\nุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ\nูู„ุง ูŠุฎูุฑูˆู‡. ูƒู…ุง ูุนู„ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุญูŠู†ู…ุง ุฃุฌุงุฑุช ุฃู… ู‡ุงู†ุฆ ุจู†ุช ุฃุจูŠ ุทุงู„ุจ ุฑุถูŠ ุงู„ู„ู‡ ุนู†ู‡ุง ุจุนุถ ุฃุญู…ุงุฆู‡ุง - ููŠ ุบุฒูˆุฉ ุงู„ูุชุญ - ูุฃุฌุงุฑ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ู…ู† ุฃุฌุงุฑุช (1).",
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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},
{
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},
{
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{
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},
{
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{
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},
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},
{
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},
{
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},
{
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{
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},
{
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{
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{
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{
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"text": "ุงุจู†",
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{
"text": "ู„ูŠู„ู‰",
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{
"text": "ุตุญู‘",
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{
"text": "ุตูˆู…ู‡",
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},
{
"text": "ู‚ูŠุงุณุงู‹",
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},
{
"text": "ุนู„ู‰",
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{
"text": "ุงู„ู†ู‘ุงุณูŠ.",
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},
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"text": "ูˆุนู†ุฏ",
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"text": "ุงู„ุญู†ููŠุฉ:",
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},
{
"text": "ุฅู†ู‘",
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"start_index": 2847
},
{
"text": "ุงู„ู…ุฎุทุฆ",
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},
{
"text": "ู„ูŠุณ",
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},
{
"text": "ูƒุงู„ู†ู‘ุงุณูŠุ›",
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},
{
"text": "ู„ุฃู†ู‘",
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},
{
"text": "ุงู„ู…ุณุชุฌุฏุงุช",
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{
"text": "ูˆุงู„ุชุทูˆุฑุงุช",
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},
{
"text": "ุงู„ุฑุงู‡ู†ุฉ",
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},
{
"text": "ูู„ุง",
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},
{
"text": "ูŠุฎูุฑูˆู‡.",
"confidence": 1.0,
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},
{
"text": "ูƒู…ุง",
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"start_index": 2917
},
{
"text": "ูุนู„",
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},
{
"text": "ุฑุณูˆู„",
"confidence": 1.0,
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},
{
"text": "ุงู„ู„ู‡",
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},
{
"text": "ุตู„ู‰",
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"start_index": 2935
},
{
"text": "ุงู„ู„ู‡",
"confidence": 1.0,
"start_index": 2939
},
{
"text": "ุนู„ูŠู‡",
"confidence": 1.0,
"start_index": 2944
},
{
"text": "ูˆุณู„ู…",
"confidence": 1.0,
"start_index": 2949
},
{
"text": "ุญูŠู†ู…ุง",
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"start_index": 2954
},
{
"text": "ุฃุฌุงุฑุช",
"confidence": 1.0,
"start_index": 2960
},
{
"text": "ุฃู…",
"confidence": 1.0,
"start_index": 2966
},
{
"text": "ู‡ุงู†ุฆ",
"confidence": 1.0,
"start_index": 2969
},
{
"text": "ุจู†ุช",
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"start_index": 2974
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{
"text": "ุฃุจูŠ",
"confidence": 1.0,
"start_index": 2978
},
{
"text": "ุทุงู„ุจ",
"confidence": 1.0,
"start_index": 2982
},
{
"text": "ุฑุถูŠ",
"confidence": 1.0,
"start_index": 2987
},
{
"text": "ุงู„ู„ู‡",
"confidence": 1.0,
"start_index": 2991
},
{
"text": "ุนู†ู‡ุง",
"confidence": 1.0,
"start_index": 2996
},
{
"text": "ุจุนุถ",
"confidence": 1.0,
"start_index": 3001
},
{
"text": "ุฃุญู…ุงุฆู‡ุง",
"confidence": 1.0,
"start_index": 3005
},
{
"text": "-",
"confidence": 1.0,
"start_index": 3013
},
{
"text": "ููŠ",
"confidence": 1.0,
"start_index": 3015
},
{
"text": "ุบุฒูˆุฉ",
"confidence": 1.0,
"start_index": 3018
},
{
"text": "ุงู„ูุชุญ",
"confidence": 1.0,
"start_index": 3023
},
{
"text": "-",
"confidence": 1.0,
"start_index": 3029
},
{
"text": "ูุฃุฌุงุฑ",
"confidence": 1.0,
"start_index": 3031
},
{
"text": "ุฑุณูˆู„",
"confidence": 1.0,
"start_index": 3037
},
{
"text": "ุงู„ู„ู‡",
"confidence": 1.0,
"start_index": 3042
},
{
"text": "ุตู„ู‰",
"confidence": 1.0,
"start_index": 3047
},
{
"text": "ุงู„ู„ู‡",
"confidence": 1.0,
"start_index": 3051
},
{
"text": "ุนู„ูŠู‡",
"confidence": 1.0,
"start_index": 3056
},
{
"text": "ูˆุณู„ู…",
"confidence": 1.0,
"start_index": 3061
},
{
"text": "ู…ู†",
"confidence": 1.0,
"start_index": 3066
},
{
"text": "ุฃุฌุงุฑุช",
"confidence": 1.0,
"start_index": 3069
},
{
"text": "(1).",
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"content": "ุชุงุฑูŠุฎ ุงู„ุญุถุงุฑุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ููŠ ุงู„ุฃู†ุฏู„ุณ",
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"content": "ุงู„ู…ู„ุฎุต: ยป. โ€Œ โ€Œู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูˆูˆู‚ุน ู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูู‰ ู‚ุตุฉ ู…ุชุธู„ู…: ยซุฃุชุงูƒ ุงู„ุบูˆุซ ุฅู† ูƒู†ุช ุตุงุฏู‚ุงุŒ ูˆุญู„ ุจูƒ ุงู„ู†ู‘ูƒุงู„ ุฅู† ูƒู†ุช ูƒุงุฐุจุงุŒ ูุชู‚ุฏู‘ู… ุฃูˆ ุชุฃุฎู‘ุฑยป. ูˆูู‰ ู‚ุตุฉ ู‚ูˆู… ุดูƒูˆุง ุฃู…ูŠุฑู‡ู…: ยซุฅู† ุตุญู‘ ู…ุง ุงุฏุนูŠุชู… ุนู„ูŠู‡ ุนุฒู„ู†ุงู‡ ูˆุนุงู‚ุจู†ุงู‡ยป. ยซูˆุฅู„ู‰ ุตุงุญุจ ุฎุฑุงุณุงู† ุญูŠู† ุฃู…ุฑู‡ ุจู…ุญุงุฑุจุฉ ุงู„ุชุฑูƒ: ยซุงุญุฐุฑ ู„ูŠุงู„ู‰ ุงู„ุจูŠุงุช (2)ยป. ูˆุฅู„ู‰ ุตุงุญุจ ุงู„ู…ุฏูŠู†ุฉุŒ ูˆูƒุชุจ ูŠุฎุจุฑู‡",
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"content": "ุงู„ุฎู„ุงุตุฉ ุงู„ุชู†ููŠุฐูŠุฉ ูˆุฃุจุฑุฒ ุงู„ู†ุชุงุฆุฌ",
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"content": "ุจูˆุซูˆุจ ุฃุจู†ุงุก ุงู„ุฃู†ุตุงุฑ: ยซุงุญูุธ ููŠู‡ู… ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ูˆู‡ุจู‡ู… ู„ู‡ยป. ูˆูˆู‚ุน ูู‰ ุฑู‚ุนุฉ ู…ุญุจูˆุณ ู„ุฒู…ู‡ ุงู„ุญุฏู‘: ยซู†ุฒู„ ุจุญุฏู‘ูƒ ุงู„ูƒุชุงุจยป.",
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"content": "ุงู„ุฅุทุงุฑ ุงู„ู†ุธุฑูŠ ูˆุงู„ู…ูุงู‡ูŠู…ูŠ ู„ู„ุฏุฑุงุณุฉ",
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"content": "ุจู† ุนุงู…ุฑ 90 ู†ุตุฑ ุจู† ุณูŠุงุฑ 393ุŒ 479ุŒ 480ุŒ 481ุŒ 483 ู‡ู€ ู‡ุดุงู… ุจู† ุฅุณู…ุนูŠู„ 236 ู‡ุดุงู… ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 337ุŒ 341ุŒ 345ุŒ 351ุŒ 353ุŒ 355ุŒ 356ุŒ 357ุŒ 359ุŒ 360ุŒ 362ุŒ 366ุŒ 368ุŒ 369ุŒ 377ุŒ 379ุŒ 497 ูˆุงู„ูˆู„ูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 240ุŒ 240ุŒ 247ุŒ 251ุŒ 253ุŒ 253ุŒ 255ุŒ 494 ุงู„ูˆู„ูŠุฏ ุจู† ูŠุฒูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 375ุŒ 378 381ุŒ 384ุŒ 391ุŒ 393ุŒ 393ุŒ 394 ูˆู‡ุจ ุจู† ู…ู†ุจู‡ 286 ู‰ ูŠุฒูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ 337ุŒ 337ุŒ 338 393ุŒ 497 ูŠุฒูŠุฏ ุจู† ู…ุนุงูˆูŠุฉ 69ุŒ 75ุŒ 78ุŒ 85ุŒ 86ุŒ 492 ูŠุฒูŠุฏ ุจู† ุงู„ู…ู‡ู„ุจ 203ุŒ 204ุŒ 260 ูŠุฒูŠุฏ ุจู† ุงู„ูˆู„ูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ",
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"content": "\\prod_{\\lambda=1}^{n} (1 \\approx \\alpha_\\lambda) = 0 + \\frac{x}{z^2}",
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"content": "ูˆุงู„ุฏู‘ูŠู‘ุงุช ู„ุง ูŠูุถู„ ุดุฑูŠู ุนู„ู‰ ูˆุถูŠุนุŒ ูˆุงู„ู„ุงุฆู‚ ุจุญุงู„ู‡ู… ุฃู† ูŠูƒูˆู†ูˆุง ูƒูŠุฏ ูˆุงุญุฏุฉ ููŠ ุงู„ุชู‘ุนุงูˆู† ูˆุงู„ุชู‘ุนุงุถุฏ ุนู„ู‰ ุงู„ุฃุนุฏุงุกุŒ ููƒู…ุง ุฃู†ู‘ ุงู„ูŠุฏ ุงู„ูˆุงุญุฏุฉ ู„ุง ูŠู…ูƒู† ุฃู† ูŠู…ูŠู„ ุจุนุถู‡ุง ุฅู„ู‰ ุฌุงู†ุจ ูˆุจุนุถู‡ุง ุฅู„ู‰ ุฌุงู†ุจ ุขุฎุฑุŒ ููƒุฐู„ูƒ ุงู„ู„ุงุฆู‚ ุจุดุฃู† ุงู„ู…ุคู…ู†ูŠู†ุŒ ูˆูŠุณุนู‰ ุจุนู‡ุฏู‡ู… ูˆุนู‚ุฏู‡ู… ุฃู‚ู„ู‡ู… ุนุฏุฏุงู‹ ูˆู‡ูˆ ุงู„ูˆุงุญุฏุŒ ูˆุฃู‚ู„ู‘ู‡ู… ุฑุชุจุฉ ูˆู‡ูˆ ุงู„ุนุจุฏ. โ€Œ โ€Œุซุงู„ุซุงู‹: ู…ู† ุฃู…ุซู„ุฉ ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉ ูˆู…ุณุงุฆู„ู‡ุง: ุฅุฐุง ู‚ุชู„ ุฃุนู„ู‰ ุงู„ู†ู‘ุงุณ ุฑุชุจุฉ ุฃู‚ู„ู‘ูŽู‡ู… ู…ูƒุงู†ุฉ ููŠ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุณู„ู… ุนู…ุฏุงู‹ุŒ ูุฅู†ู‘ ุงู„ู‚ุตุงุต ุญู‚ู‘ ู„ูˆู„ูŠ ุงู„ู‚ุชูŠู„ุŒ ู…ู‡ู…ุง ูƒุงู†ุช ู…ูƒุงู†ุฉ ุงู„ู‚ุงุชู„ุŒ ุฅู„ุง ุฃู† ูŠุฑุถู‰ ุจุงู„ุฏู‘ูŠู‘ุฉุŒ ุฃูˆ ูŠุนููˆ. ูˆู…ู†ู‡ุง: ุฅุฐุง ุฃุฌุงุฑุช ุงู…ุฑุฃุฉ ู…ู† ุงู„ู…ุณู„ู…ูŠู† ุฃูˆ ุนุจุฏ ู…ุณู„ู… ู…ู† ุนุจูŠุฏู‡ู… ูƒุงูุฑุงู‹ ุฃูˆ ุทุงู„ุจ ุฌููˆุงุฑ ูุฅู†ู‘ ุนู„ู‰ ุงู„ู…ุณู„ู…ูŠู† ุฃู† ูŠุญูุธูˆุง ุฌูˆุงุฑ ู‡ุฐู‡ ุงู„ู…ุฑุฃุฉ ุฃูˆ ู‡ุฐุง ุงู„ุนุจุฏ",
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"content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}",
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"content": "ู‚ุงุฆู…ุฉ ุงู„ู…ุฑุงุฌุน ูˆุงู„ู…ุตุงุฏุฑ ุงู„ุชูˆุซูŠู‚ูŠุฉ",
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"content": "ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุฅุฐ ุฌูŠุก ูู‚ูŠู„ ู„ู‡: ุฅู†ู‡ ูƒุงู† ุจูŠู† ุฃู‡ู„ ู‚ุจุงุก ุดูŠุกุŒ ูุงู†ุทู„ู‚ ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุฅู„ูŠู‡ู… ู„ูŠุตู„ุญ ุจูŠู†ู‡ู…ุŒ ูุฃุจุทุฃ ุนู„ู‰ ุงู„ู†ุงุณ\" ูู‚ุงู„ ุจู„ุงู„ ู„ุฃุจูŠ ุจูƒุฑ: \"ุฃู„ุง ุฃู‚ูŠู… ุงู„ุตู„ุงุฉุŸ \" ู‚ุงู„: \"ู…ุง ุดุฆุชุŒ ูุฃู‚ุงู… ุจู„ุงู„ ูู‚ุฏู… ุงู„ู†ุงุณ ุฃุจุง ุจูƒุฑ ูุจูŠู†ุง ู‡ูˆ ูŠุตู„ูŠ ุฃู‚ุจู„ ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ูุฌุนู„ ูŠุดู‚ ุงู„ุตููˆู ุญุชู‰ ู‚ุงู… ุฎู„ู ุฃุจูŠ ุจูƒุฑุŒ ูุฌุนู„ูˆุง ูŠุตูู‚ูˆู†ุŒ ูˆูƒุงู† ู„ุง ูŠู„ุชูุช ููŠ ุงู„ุตู„ุงุฉุŒ ูู„ู…ุง ุฃูƒุซุฑูˆุง ุงู„ุชูุชุŒ ูุฅุฐุง ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ู‚ุงุฆู… ุฎู„ูู‡ุŒ ูุฃุดุงุฑ ุฅู„ูŠู‡ ุงู„ู†ุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุฃู† ูŠุตู„ูŠ ูƒู…ุง ู‡ูˆ ูู†ูƒุต ุฅู„ู‰ ูˆุฑุงุฆู‡ุŒ ูˆุชู‚ุฏู… ุงู„ู†ุจูŠ",
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},
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"top_left_x": 30,
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"bottom_right_x": 348,
"bottom_right_y": 455,
"content": "ุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ",
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},
{
"top_left_x": 30,
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"bottom_right_x": 348,
"bottom_right_y": 514,
"content": "97ุŒ 398 402ุŒ 498 ูŠูˆุณู ุจู† ุนู…ุฑ ุงู„ุซู‚ูู‰ 357ุŒ 359ุŒ 365 366ุŒ 473 ุชู… ูู‡ุฑุณ ุงู„ูƒุชุงุจ",
"type": "text",
"confidence_scores": null,
"reading_index": 13
},
{
"top_left_x": 30,
"top_left_y": 530,
"bottom_right_x": 348,
"bottom_right_y": 552,
"content": "ุงู„ุขู„ูŠุงุช ูˆุงู„ุฅุฌุฑุงุกุงุช ุงู„ู…ุชุจุนุฉ",
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{
"top_left_x": 30,
"top_left_y": 560,
"bottom_right_x": 348,
"bottom_right_y": 686,
"content": "ุงู„ู‚ุงุชู„ุŒ ุฅู„ุง ุฃู† ูŠุฑุถู‰ ุจุงู„ุฏู‘ูŠู‘ุฉุŒ ุฃูˆ ูŠุนููˆ. ูˆู…ู†ู‡ุง: ุฅุฐุง ุฃุฌุงุฑุช ุงู…ุฑุฃุฉ ู…ู† ุงู„ู…ุณู„ู…ูŠู† ุฃูˆ ุนุจุฏ ู…ุณู„ู… ู…ู† ุนุจูŠุฏู‡ู… ูƒุงูุฑุงู‹ ุฃูˆ ุทุงู„ุจ ุฌููˆุงุฑ ูุฅู†ู‘ ุนู„ู‰ ุงู„ู…ุณู„ู…ูŠู† ุฃู† ูŠุญูุธูˆุง ุฌูˆุงุฑ ู‡ุฐู‡ ุงู„ู…ุฑุฃุฉ ุฃูˆ ู‡ุฐุง ุงู„ุนุจุฏ ูู„ุง ูŠุฎูุฑูˆู‡. ูƒู…ุง ูุนู„ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุญูŠู†ู…ุง ุฃุฌุงุฑุช ุฃู… ู‡ุงู†ุฆ ุจู†ุช ุฃุจูŠ ุทุงู„ุจ ุฑุถูŠ ุงู„ู„ู‡ ุนู†ู‡ุง ุจุนุถ ุฃุญู…ุงุฆู‡ุง - ููŠ ุบุฒูˆุฉ ุงู„ูุชุญ - ูุฃุฌุงุฑ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ู…ู† ุฃุฌุงุฑุช (1).",
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"reading_index": 15
},
{
"top_left_x": 30,
"top_left_y": 702,
"bottom_right_x": 348,
"bottom_right_y": 724,
"content": "ู…ู†ุงู‚ุดุฉ ูˆุชูุณูŠุฑ ุงู„ู†ุชุงุฆุฌ ุงู„ุนุงู…ุฉ",
"type": "text",
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"reading_index": 16
},
{
"top_left_x": 30,
"top_left_y": 732,
"bottom_right_x": 348,
"bottom_right_y": 807,
"content": "ูˆู…ู†ู‡ุง: ุฑุฌู„ ุชุณุญู‘ุฑ ููŠ ุดู‡ุฑ ุฑู…ุถุงู† ูˆู‚ุฏ ุทู„ุน ุงู„ูุฌุฑ - ูˆู‡ูˆ ู„ุง ูŠุนู„ู… ุจู‡ - ูุนู†ุฏ ุงู„ุญู†ููŠู‘ุฉ ูุณุฏ ุตูˆู…ู‡ุŒ ูˆุนู†ุฏ ุงุจู† ุฃุจูŠ ู„ูŠู„ู‰ ุตุญู‘ ุตูˆู…ู‡ ู‚ูŠุงุณุงู‹ ุนู„ู‰ ุงู„ู†ู‘ุงุณูŠ. ูˆุนู†ุฏ ุงู„ุญู†ููŠุฉ: ุฅู†ู‘ ุงู„ู…ุฎุทุฆ ู„ูŠุณ ูƒุงู„ู†ู‘ุงุณูŠุ› ู„ุฃู†ู‘",
"type": "text",
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"reading_index": 17
},
{
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"bottom_right_x": 348,
"bottom_right_y": 845,
"content": "ุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ",
"type": "text",
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"reading_index": 18
},
{
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"bottom_right_x": 348,
"bottom_right_y": 929,
"content": "ูู„ุง ูŠุฎูุฑูˆู‡. ูƒู…ุง ูุนู„ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุญูŠู†ู…ุง ุฃุฌุงุฑุช ุฃู… ู‡ุงู†ุฆ ุจู†ุช ุฃุจูŠ ุทุงู„ุจ ุฑุถูŠ ุงู„ู„ู‡ ุนู†ู‡ุง ุจุนุถ ุฃุญู…ุงุฆู‡ุง - ููŠ ุบุฒูˆุฉ ุงู„ูุชุญ - ูุฃุฌุงุฑ ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ู…ู† ุฃุฌุงุฑุช (1).",
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}
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