{"id":2103,"date":"2019-12-27T23:34:17","date_gmt":"2019-12-27T14:34:17","guid":{"rendered":"http:\/\/141.164.34.82\/?p=2103"},"modified":"2019-12-27T23:44:12","modified_gmt":"2019-12-27T14:44:12","slug":"%eb%a7%a4%ec%9a%b0-%ed%81%b0-%ec%88%98-%ed%98%b9%ec%9d%80-%eb%a7%a4%ec%9a%b0-%ec%a0%95%eb%b0%80%ed%95%9c-%ec%88%98","status":"publish","type":"post","link":"http:\/\/ds.sumeun.org\/?p=2103","title":{"rendered":"\ub9e4\uc6b0 \ud070 \uc218 \ud639\uc740 \ub9e4\uc6b0 \uc815\ubc00\ud55c \uc218"},"content":{"rendered":"

\uac1c\uc815\ud310\uc5d0\ub294 1\ud310\uc5d0 \uc218\ub85d\ub418\uc9c0 \uc54a\uc740 \uc18c\uc18c\ud55c \ucd94\uac00 \ub0b4\uc6a9\uc774 \uc788\uc2b5\ub2c8\ub2e4. \ubd84\ub7c9\uc740 \ub9ce\uc9c0 \uc54a\uc9c0\ub9cc, \ud544\uc694\ud560 \ub54c \uc694\uae34\ud558\uac8c \ud65c\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n

Inf<\/code><\/h2>\n

\uc774\ub860\uc801\uc73c\ub85c \uc5f0\uc0b0\uc774 \uac00\ub2a5\ud558\uc9c0\ub9cc R\uc5d0\uc11c \ub2e4\ub8e8\uae30\uc5d0 \ub108\ubb34 \ud06c\uac70\ub098 \uc791\uc740 \uc218\uc758 \uacbd\uc6b0 Inf<\/code> \ub610\ub294 -Inf<\/code>\uac00 \ub41c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ud604\uc7ac \ub0b4 \ucef4\ud4e8\ud130\uc5d0\uc11c 1.32e+308<\/code>( \\(1.32\\times 10^{308}\\) )\uc740 \uad1c\ucc2e\uc9c0\ub9cc, \uc774 \uac12\uc5d0 10\uc744 \uacf1\ud55c 1.32e+309<\/code>\ub294 R\uc758 \uae30\ubcf8\uc801\uc778 \uc218\uce58\ud615 \ub370\uc774\ud130 \ud0c0\uc785\uc73c\ub85c\ub294 \uac10\ub2f9\ud560 \uc218 \uc5c6\uace0, Inf<\/code>\uc774 \ub41c\ub2e4.<\/p>\n

1.32e+308\r\n<\/code><\/pre>\n
## [1] 1.32e+308\r\n<\/pre>\n
1.32e+308*10\r\n<\/code><\/pre>\n
## [1] Inf\r\n<\/pre>\n
\uc8fc\uc11d<\/h3>\n
\uc5ec\uae30\uae4c\uc9c0\ub294 1\ud310\ub3c4 \ub3d9\uc77c\ud558\uc9c0\ub9cc, \uac1c\uc815\ud310\uc5d0\ub294 \uc8fc\uc11d<\/strong>\uc744 \ub2ec\uc558\uc2b5\ub2c8\ub2e4.<\/p>\n
\ub9e4\uc6b0 \ud070 \uc815\uc218<\/strong>\ub97c \ub2e4\ub8e8\uace0\uc790 \ud55c\ub2e4\uba74 gmp<\/code> \ud328\ud0a4\uc9c0\ub97c \uc0ac\uc6a9\ud560 \uc218 \uc788\ub2e4.<\/p>\n
132*10^306\r\n132*10^306*10\r\nlibrary(gmp)\r\n132*as.bigz(10)^306\r\n132*as.bigz(10)^306*10\r\n<\/code><\/pre>\n
## [1] 1.32e+308\r\n## [1] Inf\r\n## Big Integer ('bigz') :\r\n## [1] 132000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\r\n## Big Integer ('bigz') :\r\n## [1] 1320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\r\n<\/pre>\n
\uc815\ubc00\ub3c4<\/strong> \ub192\uc740 \uc2e4\uc218\ub97c \uc6d0\ud55c\ub2e4\uba74 Rmpfr<\/code> \ud328\ud0a4\uc9c0\ub97c \uc0ac\uc6a9\ud560 \uc218 \uc788\ub2e4.<\/p>\n
library(Rmpfr)\r\n1.32*mpfr(10, precBits=200)^308\r\n1.32*mpfr(10, precBits=1000)^308*10\r\n<\/code><\/pre>\n
## 1 'mpfr' number of precision  200   bits \r\n## [1] 132000000000000006217248937900876626372337341308593750000000069173768144116117516289328928688999232392263594354818986881548131428321966147378197417917623438640731906955126541300338295222086598925664490315642274078852508498640231647700583887120935905281397393124432109801611236868030392460322828141509553946624\r\n## 1 'mpfr' number of precision  1000   bits \r\n## [1] 1320000000000000062172489379008766263723373413085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\r\n<\/pre>\n
\ub2e4\ub978 \uc608\ub97c \ubcf4\uc790.<\/p>\n
print(1\/pi, digits=18)\r\n<\/code><\/pre>\n
## [1] 0.31830988618379069\r\n<\/pre>\n
print(1\/pi, digits=30)\r\n<\/code><\/pre>\n
## Error in print.default(1\/pi, digits = 30): invalid 'digits' argument\r\n<\/pre>\n
print(mpfr(1, precBits=1000)\/pi, digits=30)\r\n<\/code><\/pre>\n
## 1 'mpfr' number of precision  1000   bits \r\n## [1] 0.318309886183790683946033850086\r\n<\/pre>\n
\uc544\ubb34\ub9ac \uc720\ud6a8\uc22b\uc790\uac00 \ub9ce\uc544\ub3c4 \ucd08\uc6d4\uc218\uc778 \\(1\/\\pi\\) \ub97c \uc815\ud655\ud558\uac8c \ub098\ud0c0\ub0bc \uc21c \uc5c6\uc9c0\ub9cc \uc815\ubc00\ub3c4\ub97c precBits=<\/code>\ub85c \uc870\uc808\ud560 \uc218 \uc788\ub2e4.<\/p>\n
\ubc88\uc678<\/h3>\n
\\(\\log(1+x)\\) \ub97c \uc0dd\uac01\ud574\ubcf4\uc790. \uc774 \ud568\uc218\ub294 \\(x\\) \uac00 0\uacfc \ub9e4\uc6b0 \uac00\uae4c\uc6b8 \ub54c, \\(\\log(1+x) \\approx x\\) \uc774\ub2e4.<\/p>\n
curve(log(1+x), xlim=c(0,1))\r\nabline(a=0, b=1, lty='dotted')\r\n<\/code><\/pre>\n
\"plot<\/p>\n
curve(log(1+x), xlim=c(0,0.2))\r\nabline(a=0, b=1, lty='dotted')\r\n<\/code><\/pre>\n
\"plot<\/p>\n
R\uc5d0\uc11c\uc758 \uacc4\uc0b0 \uacb0\uacfc\ub294 \\(x \\approx 0\\) \uc77c\ub54c, Underflow\uac00 \uc77c\uc5b4\ub098 \\(0\\) \uc774 \ub418\uace0 \ub9cc\ub2e4.<\/p>\n
log(1+1e-16)\r\n<\/code><\/pre>\n
## [1] 0\r\n<\/pre>\n
\ub2e4\uc74c\uc740 \uc774\ub97c \ubc29\uc9c0\ud558\ub294 \ub450 \ubc29\ubc95\uc744 \ubcf4\uc5ec\uc900\ub2e4. \ubcf4\ud1b5\uc740 log1p<\/code> \ud568\uc218\ub97c \uc368\uc11c \\(\\log(1+x)\\) \ub97c \uad6c\ud55c\ub2e4.<\/p>\n
log(mpfr(1, precBits=100)+1e-16)\r\n<\/code><\/pre>\n
## 1 'mpfr' number of precision  100   bits \r\n## [1] 9.999999999999925335268002770493e-17\r\n<\/pre>\n
log1p(1e-16)\r\n<\/code><\/pre>\n
## [1] 1e-16\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"
\uac1c\uc815\ud310\uc5d0\ub294 1\ud310\uc5d0 \uc218\ub85d\ub418\uc9c0 \uc54a\uc740 \uc18c\uc18c\ud55c \ucd94\uac00 \ub0b4\uc6a9\uc774 \uc788\uc2b5\ub2c8\ub2e4. \ubd84\ub7c9\uc740 \ub9ce\uc9c0 \uc54a\uc9c0\ub9cc, \ud544\uc694\ud560 \ub54c \uc694\uae34\ud558\uac8c \ud65c\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. Inf \uc774\ub860\uc801\uc73c\ub85c \uc5f0\uc0b0\uc774 \uac00\ub2a5\ud558\uc9c0\ub9cc R\uc5d0\uc11c \ub2e4\ub8e8\uae30\uc5d0 \ub108\ubb34 \ud06c\uac70\ub098 \uc791\uc740 \uc218\uc758 \uacbd\uc6b0 Inf \ub610\ub294 -Inf\uac00 \ub41c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ud604\uc7ac \ub0b4 \ucef4\ud4e8\ud130\uc5d0\uc11c 1.32e+308( \\(1.32\\times 10^{308}\\) )\uc740 \uad1c\ucc2e\uc9c0\ub9cc, \uc774 \uac12\uc5d0 10\uc744 \uacf1\ud55c 1.32e+309\ub294 R\uc758 \uae30\ubcf8\uc801\uc778 \uc218\uce58\ud615 \ub370\uc774\ud130 \ud0c0\uc785\uc73c\ub85c\ub294 \uac10\ub2f9\ud560 \uc218 \uc5c6\uace0, […]<\/p>\n","protected":false},"author":1,"featured_media":2105,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[426,428,427],"jetpack_featured_media_url":"http:\/\/ds.sumeun.org\/wp-content\/uploads\/2019\/12\/2ndEd_Inf.png","_links":{"self":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2103"}],"collection":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2103"}],"version-history":[{"count":4,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2103\/revisions"}],"predecessor-version":[{"id":2108,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2103\/revisions\/2108"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/media\/2105"}],"wp:attachment":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2103"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2103"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}