{"id":4301,"date":"2013-12-12T06:00:49","date_gmt":"2013-12-11T21:00:49","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=4301"},"modified":"2014-09-10T16:51:46","modified_gmt":"2014-09-10T07:51:46","slug":"post-4301","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4301","title":{"rendered":"\u7279\u6b8a\u306a\u95a2\u6570"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><h3>\u591a\u9805\u5f0f<\/h3>\n<p>\u591a\u9805\u5f0f\u306f\u4e0b\u8a18\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+f%28x%29+%3D+a_0x%5En+%2B+a_1x%5E%7Bn-1%7D+%2B+a_2x%5E%7Bn-2%7D+%2B+%5Ccdots+%2B+a_n&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle f(x) = a_0x^n + a_1x^{n-1} + a_2x^{n-2} + \\cdots + a_n' title='\\displaystyle f(x) = a_0x^n + a_1x^{n-1} + a_2x^{n-2} + \\cdots + a_n' class='latex' \/><\/p>\n<p>\u3000<img src='https:\/\/s0.wp.com\/latex.php?latex=a_0+%5Cneq+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='a_0 \\neq 0' title='a_0 \\neq 0' class='latex' \/> \u306e\u6642\uff0c n \u306f\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u3044\u3044\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%28a+%2B+x%29%5En+%3D+a%5En+%2B+%5Cleft%28%5Cfrac%7Bn%7D%7B1%7D%5Cright%29a%5E%7Bn+-1%7Dx+%2B+%5Cleft%28%5Cfrac%7Bn%7D%7B2%7D%5Cright%29a%5E%7Bn+-2%7Dx%5E2+%2B+%5Ccdots+%2B+x%5En&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle (a + x)^n = a^n + \\left(\\frac{n}{1}\\right)a^{n -1}x + \\left(\\frac{n}{2}\\right)a^{n -2}x^2 + \\cdots + x^n' title='\\displaystyle (a + x)^n = a^n + \\left(\\frac{n}{1}\\right)a^{n -1}x + \\left(\\frac{n}{2}\\right)a^{n -2}x^2 + \\cdots + x^n' class='latex' \/><\/p>\n<p>\u4e8c\u9805\u4fc2\u6570\u306f\u4e0b\u8a18\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cleft%28%5Cfrac%7Bn%7D%7Bk%7D%5Cright%29+%3D+%5Cfrac%7Bn%21%7D%7Bk%21%28n+-+k%29%21%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\left(\\frac{n}{k}\\right) = \\frac{n!}{k!(n - k)!}' title='\\displaystyle \\left(\\frac{n}{k}\\right) = \\frac{n!}{k!(n - k)!}' class='latex' \/><\/p>\n<p>n \u306e\u968e\u4e57\u306f n! = n(n -1)(n-2)&#8230;1 \u3067\u3042\u308a\uff0c\u5b9a\u7fa9\u4e0a 0! = 1 \u3068\u306a\u308a\u307e\u3059\uff0e<\/p>\n<h3>\u6307\u6570\u95a2\u6570<\/h3>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+f%28x%29+%3D+a%5Ex&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle f(x) = a^x' title='\\displaystyle f(x) = a^x' class='latex' \/><\/p>\n<p>\u3000a = e = 2.718&#8230; \u306e\u6642\uff0c\u7279\u6b8a\u306a\u4f8b\u304c\u767a\u751f\u3057\u307e\u3059\uff0e<\/p>\n<h4>\u6307\u6570\u6cd5\u5247<\/h4>\n<ol>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+a%5E%7Bm+%2B+n%7D+%3D+a%5Em+%5Ccdot+a%5En&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle a^{m + n} = a^m \\cdot a^n' title='\\displaystyle a^{m + n} = a^m \\cdot a^n' class='latex' \/><\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+a%5E%7Bm+-+n%7D+%3D+%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%2C%5C+a+%5Cneq+0&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle a^{m - n} = \\frac{a^m}{a^n},\\ a \\neq 0' title='\\displaystyle a^{m - n} = \\frac{a^m}{a^n},\\ a \\neq 0' class='latex' \/><\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%28a%5Em%29%5En+%3D+a%5E%7Bmn%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle (a^m)^n = a^{mn}' title='\\displaystyle (a^m)^n = a^{mn}' class='latex' \/><\/li>\n<\/ol>\n<h3>\u5bfe\u6570\u95a2\u6570<\/h3>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+f%28x%29+%3D+%5Clog_a+x&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle f(x) = \\log_a x' title='\\displaystyle f(x) = \\log_a x' class='latex' \/><\/p>\n<p>\u5bfe\u6570\u95a2\u6570\u306f\u6307\u6570\u95a2\u6570\u306e\u9006\u95a2\u6570\u3067\u3059\uff0e\u4eee\u306b a<sup>x<\/sup> = y \u3067\u3042\u308b\u6642\uff0c\u9006\u95a2\u6570\u306f x = log<sub>a<\/sub>y \u3067\u3042\u308a a \u306f\u5bfe\u6570\u306e\u5e95\u3068\u547c\u3073\u307e\u3059\uff0ea = e \u306e\u6642\uff0c\u305d\u308c\u3092\u81ea\u7136\u5bfe\u6570\u306e\u5e95\u3068\u547c\u3073\uff0cx \u306e\u81ea\u7136\u5bfe\u6570 log<sub>e<\/sub>x \u306e\u3053\u3068\u3092 ln x \u3068\u8868\u73fe\u3057\u307e\u3059\uff0e<\/p>\n<h4>\u5bfe\u6570\u6cd5\u5247<\/h4>\n<ol>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cln%28mn%29+%3D+%5Cln%28m%29+%2B+%5Cln%28n%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\ln(mn) = \\ln(m) + \\ln(n)' title='\\displaystyle \\ln(mn) = \\ln(m) + \\ln(n)' class='latex' \/><\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cln%5Cfrac%7Bm%7D%7Bn%7D+%3D+%5Cln%28m%29+-+%5Cln%28n%29&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\ln\\frac{m}{n} = \\ln(m) - \\ln(n)' title='\\displaystyle \\ln\\frac{m}{n} = \\ln(m) - \\ln(n)' class='latex' \/><\/li>\n<li><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cln%7Bm%5Ep%7D+%3D+p%5Cln%7Bm%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle \\ln{m^p} = p\\ln{m}' title='\\displaystyle \\ln{m^p} = p\\ln{m}' class='latex' \/><\/li>\n<\/ol>\n<p><iframe src=\"\/\/rcm-fe.amazon-adsystem.com\/e\/cm?lt1=_blank&#038;bc1=000000&#038;IS2=1&#038;bg1=FFFFFF&#038;fc1=000000&#038;lc1=0000FF&#038;t=fujiitoshiki-22&#038;o=9&#038;p=8&#038;l=as4&#038;m=amazon&#038;f=ifr&#038;ref=ss_til&#038;asins=0071635408\" style=\"width:120px;height:240px;\" scrolling=\"no\" marginwidth=\"0\" marginheight=\"0\" frameborder=\"0\"><\/iframe><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u591a\u9805\u5f0f \u591a\u9805\u5f0f\u306f\u4e0b\u8a18\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u307e\u3059\uff0e \u3000 \u306e\u6642\uff0c n \u306f\u591a\u9805\u5f0f\u306e\u6b21\u6570\u3068\u3044\u3044\u307e\u3059\uff0e \u4e8c\u9805\u4fc2\u6570\u306f\u4e0b\u8a18\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u307e\u3059\uff0e n \u306e\u968e\u4e57\u306f n! = n(n -1)(n-2)&#8230;1 \u3067\u3042\u308a\uff0c\u5b9a\u7fa9\u4e0a 0! = 1 \u3068 &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4301\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u7279\u6b8a\u306a\u95a2\u6570&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":6040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4301","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4301","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4301"}],"version-history":[{"count":6,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4301\/revisions"}],"predecessor-version":[{"id":6810,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/4301\/revisions\/6810"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/media\/6040"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4301"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4301"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4301"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}