dataset / data /machine_3_002 /annotations /sample_0010003.json
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{
"markdown": "## ุนุฑุถ ุงู„ู†ุชุงุฆุฌ ูˆุงู„ุชุญู„ูŠู„ุงุช ุงู„ุฅุญุตุงุฆูŠุฉ\nููŠ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ูˆู‚ุงุฆุน ูˆุงู„ุฃุญุฏุงุซุŸ ูˆุฃุชุจุงุน ุงู„ู…ุฏุฑุณุฉ ุงู„ู…ุงุฏูŠุฉ ุฃู„ูŠุณูˆุง ู‡ู… ุฑู‡ุจุงู†ุง ุฌุฏุฏุง ููŠ ู…ูˆู‚ูู‡ู… ู…ู† ุฑุณูˆู„ู†ุง ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ูˆุชุงุฑูŠุฎู†ุงุ› ุบูŠู‘ุฑูˆุง ุฃุฒูŠุงุกู‡ู… ูˆู„ูƒู†ู‡ู… ุธู„ูˆุง ู…ู† ุฏุงุฎู„ ู†ููˆุณู‡ู… ุฑู‡ุจุงู†ุง ูŠู†ุชู…ูˆู† ู„ู„ูƒู‡ู†ูˆุช ุงู„ู…ุงุฏูŠ ุงู„ุฌุฏูŠุฏ ุงู„ุฐูŠ ู…ุง ูƒุงู† ุชุฏุฎูŠู†ู‡ ุนู„ู‰ ุงู„ุฑุคูŠุฉ ุงู„ู†ู‚ูŠู‘ุฉ ุฅุฒุงุก ุณูŠุฑุฉ ุฑุณูˆู„ู†ุง ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุจุฃู‚ู„ู‘ ูƒุซุงูุฉ ู…ู† ุงู„ุฏุฎุงู† ุงู„ุฐูŠ ุฃุซุงุฑู‡ ุฑุฌุงู„ ุงู„ู†ุตุฑุงู†ูŠุฉ ุงู„ุฃูˆุงุฆู„ุŸ.\nุฃูู†ู’ุซูŽู‰. ูˆูŽู‚ูŽุฏู’ ู‚ูŽุงู„ูŽ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู…: ยซู„ูŽู†ู’ ูŠููู’ู„ูุญูŽ ู‚ูŽูˆู’ู…ูŒ ูˆูŽู„ู‘ูŽูˆู’ุง ุฃูŽู…ู’ุฑูŽู‡ูู…ู’ ุงู…ู’ุฑูŽุฃูŽุฉู‹ยป (1) ุฑูŽูˆูŽุงู‡ู ุงู„ู’ุจูุฎูŽุงุฑููŠู‘ู. ูˆูŽุฑูŽูˆูŽู‰ ุงุจู’ู†ู ู…ูŽุงุฌูŽู‡ู’ ยซู„ูŽุง ุชูŽุคูู…ู‘ูŽู†ู‘ูŽ ุงู…ู’ุฑูŽุฃูŽุฉูŒ ุฑูŽุฌูู„ู‹ุงยป (2) ูˆูŽูŠูŽุตูุญู‘ู ุงู‚ู’ุชูุฏูŽุงุกู ุฎูู†ู’ุซูŽู‰ ุจูŽุงู†ูŽุชู’ ุฃูู†ููˆุซูŽุชูู‡ู ุจูุงู…ู’ุฑูŽุฃูŽุฉู ูˆูŽุฑูŽุฌูู„ูุŒ ูˆูŽุฑูŽุฌูู„ู ุจูุฎูู†ู’ุซูŽู‰ ุจูŽุงู†ูŽุชู’ ุฐููƒููˆุฑูŽุชูู‡ู ู…ูŽุนูŽ ุงู„ู’ูƒูŽุฑูŽุงู‡ูŽุฉู ู‚ูŽุงู„ูŽู‡ู ุงู„ู’ู…ูŽุงูˆูŽุฑู’ุฏููŠู‘ู ู‚ูŽุงู„ูŽ ุงู„ู’ุฃูŽุฐู’ุฑูŽุนููŠู‘ู: ูˆูŽู…ูŽุญูŽู„ู‘ูู‡ูŽุง ุฅุฐูŽุง ูƒูŽุงู†ูŽ ุงู„ุธู‘ูู‡ููˆุฑู ุจูุฃูŽู…ูŽุงุฑูŽุฉู ุบูŽูŠู’ุฑู\n## ุชุนุฑูŠู\nุงุนุชู‚ุงุฏุงุช ุณุงุจู‚ุฉ ุชุณู…ู‰ ุงู„ุญู†ูŠููŠุฉยป ยซ1ยป . ุฃู„ุง ูŠู‚ุชุฑุจ ู‡ุฐุง ุฃู† ูŠูƒูˆู† ุฏูŠู†ุง ุฌุฏูŠุฏุงุŒ ู„ุง ูŠู‚ู„ ุนู† ุงู„ู†ุตุฑุงู†ูŠุฉ- ูŠูˆู…ู‡ุง- ุญู‚ุฏุง ุนู„ู‰ ุงู„ุฅุณู„ุงู… ูˆูƒุฑุงู‡ูŠุฉ ู„ู†ุจูŠู‡ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู…ุŒ ูˆุจุนุฏุง ุนู† ุงู„ู…ู†ู‡ุฌูŠู‘ุฉ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{z}{\\lambda^2}\nุชู„ูƒ ุงู„ุจู„ุงุฏ ูˆุงุณุชูˆู„ู‰ ุนู„ู‰ ุฃู…ูˆุงู„ู‡ู… ูˆุฐุฎุงุฆุฑู‡ู…ุŒ ูˆุฃุฎุฐ ู…ุง ูƒุงู† ู„ู‡ู… ู…ู† ุงู„ุญุตูˆู† ุจุฌุจู„ ุงู„ุณุฑุงุฉุŒ ูˆูˆุตู„ ุฅู„ู‰ ุฏู…ุดู‚ ููŠ ุดูˆู‘ุงู„ ุณู†ุฉ ุชุณุนูŠู†ุŒ ูู…ู„ูƒู‡ุง ูˆุงุณุชูˆู„ู‰ ุนู„ูŠู‡ุงุŒ ูˆุฃู‚ุงู… ู…ูุฑุฌ ูˆุงุจู†ู‡ ุญุณู‘ุงู† ุดุฑูŠุฏูŠู† ุจุงู„ู‚ูุฑ ู†ุญูˆุง ู…ู† ุณู†ุชูŠู†. ุซู… ู‡ู„ูƒ ู…ูุฑู‘ุฌ ูˆุจุนุซ ุญุณู‘ุงู† ุงุจู†ู‡ ุฅู„ู‰ ุงู„ุญุงูƒู… ูุฃู…ู‘ู†ู‡",
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"text": "##",
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"text": "ุนุฑุถ",
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{
"text": "ุงู„ู†ุชุงุฆุฌ",
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{
"text": "ูˆุงู„ุชุญู„ูŠู„ุงุช",
"confidence": 1.0,
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},
{
"text": "ุงู„ุฅุญุตุงุฆูŠุฉ",
"confidence": 1.0,
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},
{
"text": "ููŠ",
"confidence": 1.0,
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{
"text": "ุงู„ุชุนุงู…ู„",
"confidence": 1.0,
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{
"text": "ู…ุน",
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{
"text": "ุงู„ูˆู‚ุงุฆุน",
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{
"text": "ูˆุงู„ุฃุญุฏุงุซุŸ",
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{
"text": "ูˆุฃุชุจุงุน",
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{
"text": "ุงู„ู…ุฏุฑุณุฉ",
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{
"text": "ุงู„ู…ุงุฏูŠุฉ",
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{
"text": "ุฃู„ูŠุณูˆุง",
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{
"text": "ู‡ู…",
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{
"text": "ุฑู‡ุจุงู†ุง",
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"text": "ุฌุฏุฏุง",
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"text": "ููŠ",
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"text": "ู…ูˆู‚ูู‡ู…",
"confidence": 1.0,
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{
"text": "ู…ู†",
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{
"text": "ุฑุณูˆู„ู†ุง",
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},
{
"text": "ุนู„ูŠู‡",
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{
"text": "ุงู„ุตู„ุงุฉ",
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"text": "ูˆุงู„ุณู„ุงู…",
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"text": "ูˆุชุงุฑูŠุฎู†ุงุ›",
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{
"text": "ุบูŠู‘ุฑูˆุง",
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},
{
"text": "ุฃุฒูŠุงุกู‡ู…",
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{
"text": "ูˆู„ูƒู†ู‡ู…",
"confidence": 1.0,
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{
"text": "ุธู„ูˆุง",
"confidence": 1.0,
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},
{
"text": "ู…ู†",
"confidence": 1.0,
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{
"text": "ุฏุงุฎู„",
"confidence": 1.0,
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},
{
"text": "ู†ููˆุณู‡ู…",
"confidence": 1.0,
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{
"text": "ุฑู‡ุจุงู†ุง",
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{
"text": "ูŠู†ุชู…ูˆู†",
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{
"text": "ู„ู„ูƒู‡ู†ูˆุช",
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},
{
"text": "ุงู„ู…ุงุฏูŠ",
"confidence": 1.0,
"start_index": 227
},
{
"text": "ุงู„ุฌุฏูŠุฏ",
"confidence": 1.0,
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},
{
"text": "ุงู„ุฐูŠ",
"confidence": 1.0,
"start_index": 241
},
{
"text": "ู…ุง",
"confidence": 1.0,
"start_index": 246
},
{
"text": "ูƒุงู†",
"confidence": 1.0,
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},
{
"text": "ุชุฏุฎูŠู†ู‡",
"confidence": 1.0,
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},
{
"text": "ุนู„ู‰",
"confidence": 1.0,
"start_index": 260
},
{
"text": "ุงู„ุฑุคูŠุฉ",
"confidence": 1.0,
"start_index": 264
},
{
"text": "ุงู„ู†ู‚ูŠู‘ุฉ",
"confidence": 1.0,
"start_index": 271
},
{
"text": "ุฅุฒุงุก",
"confidence": 1.0,
"start_index": 279
},
{
"text": "ุณูŠุฑุฉ",
"confidence": 1.0,
"start_index": 284
},
{
"text": "ุฑุณูˆู„ู†ุง",
"confidence": 1.0,
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},
{
"text": "ุนู„ูŠู‡",
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{
"text": "ุงู„ุตู„ุงุฉ",
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{
"text": "ูˆุงู„ุณู„ุงู…",
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{
"text": "ุจุฃู‚ู„ู‘",
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{
"text": "ูƒุซุงูุฉ",
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{
"text": "ู…ู†",
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{
"text": "ุงู„ุฏุฎุงู†",
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{
"text": "ุงู„ุฐูŠ",
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{
"text": "ุฃุซุงุฑู‡",
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{
"text": "ุฑุฌุงู„",
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"text": "ุงู„ู†ุตุฑุงู†ูŠุฉ",
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},
{
"text": "ุงู„ุฃูˆุงุฆู„ุŸ.",
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},
{
"text": "ุฃูู†ู’ุซูŽู‰.",
"confidence": 1.0,
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},
{
"text": "ูˆูŽู‚ูŽุฏู’",
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},
{
"text": "ู‚ูŽุงู„ูŽ",
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{
"text": "ุตู„ู‰",
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{
"text": "ุงู„ู„ู‡",
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},
{
"text": "ุนู„ูŠู‡",
"confidence": 1.0,
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},
{
"text": "ูˆุณู„ู…:",
"confidence": 1.0,
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},
{
"text": "ยซู„ูŽู†ู’",
"confidence": 1.0,
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},
{
"text": "ูŠููู’ู„ูุญูŽ",
"confidence": 1.0,
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},
{
"text": "ู‚ูŽูˆู’ู…ูŒ",
"confidence": 1.0,
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},
{
"text": "ูˆูŽู„ู‘ูŽูˆู’ุง",
"confidence": 1.0,
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},
{
"text": "ุฃูŽู…ู’ุฑูŽู‡ูู…ู’",
"confidence": 1.0,
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},
{
"text": "ุงู…ู’ุฑูŽุฃูŽุฉู‹ยป",
"confidence": 1.0,
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{
"text": "(1)",
"confidence": 1.0,
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},
{
"text": "ุฑูŽูˆูŽุงู‡ู",
"confidence": 1.0,
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},
{
"text": "ุงู„ู’ุจูุฎูŽุงุฑููŠู‘ู.",
"confidence": 1.0,
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},
{
"text": "ูˆูŽุฑูŽูˆูŽู‰",
"confidence": 1.0,
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},
{
"text": "ุงุจู’ู†ู",
"confidence": 1.0,
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},
{
"text": "ู…ูŽุงุฌูŽู‡ู’",
"confidence": 1.0,
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},
{
"text": "ยซู„ูŽุง",
"confidence": 1.0,
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},
{
"text": "ุชูŽุคูู…ู‘ูŽู†ู‘ูŽ",
"confidence": 1.0,
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},
{
"text": "ุงู…ู’ุฑูŽุฃูŽุฉูŒ",
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},
{
"text": "ุฑูŽุฌูู„ู‹ุงยป",
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},
{
"text": "(2)",
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{
"text": "ูˆูŽูŠูŽุตูุญู‘ู",
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},
{
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"content": "ุงุนุชู‚ุงุฏุงุช ุณุงุจู‚ุฉ ุชุณู…ู‰ ุงู„ุญู†ูŠููŠุฉยป ยซ1ยป . ุฃู„ุง ูŠู‚ุชุฑุจ ู‡ุฐุง ุฃู† ูŠูƒูˆู† ุฏูŠู†ุง ุฌุฏูŠุฏุงุŒ ู„ุง ูŠู‚ู„ ุนู† ุงู„ู†ุตุฑุงู†ูŠุฉ- ูŠูˆู…ู‡ุง- ุญู‚ุฏุง ุนู„ู‰ ุงู„ุฅุณู„ุงู… ูˆูƒุฑุงู‡ูŠุฉ ู„ู†ุจูŠู‡ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู…ุŒ ูˆุจุนุฏุง ุนู† ุงู„ู…ู†ู‡ุฌูŠู‘ุฉ",
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"content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{z}{\\lambda^2}",
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"content": "ุชู„ูƒ ุงู„ุจู„ุงุฏ ูˆุงุณุชูˆู„ู‰ ุนู„ู‰ ุฃู…ูˆุงู„ู‡ู… ูˆุฐุฎุงุฆุฑู‡ู…ุŒ ูˆุฃุฎุฐ ู…ุง ูƒุงู† ู„ู‡ู… ู…ู† ุงู„ุญุตูˆู† ุจุฌุจู„ ุงู„ุณุฑุงุฉุŒ ูˆูˆุตู„ ุฅู„ู‰ ุฏู…ุดู‚ ููŠ ุดูˆู‘ุงู„ ุณู†ุฉ ุชุณุนูŠู†ุŒ ูู…ู„ูƒู‡ุง ูˆุงุณุชูˆู„ู‰ ุนู„ูŠู‡ุงุŒ ูˆุฃู‚ุงู… ู…ูุฑุฌ ูˆุงุจู†ู‡ ุญุณู‘ุงู† ุดุฑูŠุฏูŠู† ุจุงู„ู‚ูุฑ ู†ุญูˆุง ู…ู† ุณู†ุชูŠู†. ุซู… ู‡ู„ูƒ ู…ูุฑู‘ุฌ ูˆุจุนุซ ุญุณู‘ุงู† ุงุจู†ู‡ ุฅู„ู‰ ุงู„ุญุงูƒู… ูุฃู…ู‘ู†ู‡",
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