{"id":1111,"date":"2015-06-20T23:28:09","date_gmt":"2015-06-20T14:28:09","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1111"},"modified":"2025-03-18T01:45:33","modified_gmt":"2025-03-17T16:45:33","slug":"kyr201402","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201402\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2014\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\r\n<p>$2$ \u3064\u306e\u7c92\u5b50\u304c\u6642\u523b $0$ \u306b\u304a\u3044\u3066 \u25b3ABC \u306e\u9802\u70b9 A \u306b\u4f4d\u7f6e\u3057\u3066\u3044\u308b.\r\n\u3053\u308c\u3089\u306e\u7c92\u5b50\u306f\u72ec\u7acb\u306b\u904b\u52d5\u3057, \u305d\u308c\u305e\u308c $1$ \u79d2\u3054\u3068\u306b\u96a3\u306e\u9802\u70b9\u306b\u7b49\u78ba\u7387\u3067\u79fb\u52d5\u3057\u3066\u3044\u304f\u3068\u3059\u308b.\r\n\u305f\u3068\u3048\u3070, \u3042\u308b\u6642\u523b\u3067\u70b9 C \u306b\u3044\u308b\u7c92\u5b50\u306f, \u305d\u306e $1$ \u79d2\u5f8c\u306b\u306f\u70b9 A \u307e\u305f\u306f\u70b9 B \u306b\u305d\u308c\u305e\u308c $\\dfrac{1}{2}$ \u306e\u78ba\u7387\u3067\u79fb\u52d5\u3059\u308b.\r\n\u3053\u306e $2$ \u3064\u306e\u7c92\u5b50\u304c, \u6642\u523b $0$ \u306e $n$ \u79d2\u5f8c\u306b\u540c\u3058\u70b9\u306b\u3044\u308b\u78ba\u7387 $p(n)$ \u3092\u6c42\u3081\u3088. <\/p>\r\n<hr>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p>$p(n)$ \u3068 $p(n+1)$ \u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u8003\u3048\u308b.<br \/>\r\n\u6642\u523b $n$ \u306b\u304a\u3051\u308b $2$ \u70b9\u306e\u4f4d\u7f6e\u95a2\u4fc2\u306b\u5fdc\u3058\u3066, \u6642\u523b $n+1$ \u306b $2$ \u70b9\u304c\u540c\u3058\u70b9\u306b\u3044\u308b\u78ba\u7387\u3092\u8003\u3048\u308b. <\/p>\r\n<ul>\r\n<li>\r\n<p>$2$ \u70b9\u304c\u540c\u3058\u70b9\u306b\u3044\u308b\u5834\u5408<br \/>\r\n\u4ed6\u306e $2$ \u9802\u70b9\u306e\u3044\u305a\u308c\u304b\u306b, $2$ \u70b9\u3068\u3082\u304c\u79fb\u52d5\u3059\u308c\u3070\u3088\u3044\u306e\u3067\r\n$$\r\n2 \\cdot \\dfrac{1}{2} \\cdot \\dfrac{1}{2} = \\dfrac{1}{2}\r\n$$<\/p>\r\n<\/li>\r\n<li>$2$ \u70b9\u304c\u7570\u306a\u308b\u70b9\u306b\u3044\u308b\u5834\u5408<br \/>\r\n\u6b8b\u308b $1$ \u9802\u70b9\u306b, $2$ \u70b9\u3068\u3082\u304c\u79fb\u52d5\u3059\u308c\u3070\u3088\u3044\u306e\u3067\r\n$$\r\n\\dfrac{1}{2} \\cdot \\dfrac{1}{2} = \\dfrac{1}{4}\r\n$$<\/li>\r\n<\/ul>\r\n<p>\u4ee5\u4e0a\u3088\u308a\r\n$$\\begin{gather}\r\np(n+1) = \\dfrac{1}{2} p(n) +\\dfrac{1}{4} \\left( 1 -p(n) \\right) = \\dfrac{1}{4} +\\dfrac{1}{4} p(n) \\\\\r\n\\therefore \\quad p(n+1) -\\dfrac{1}{3} = \\dfrac{1}{4} \\left( p(n) -\\dfrac{1}{3} \\right)\r\n\\end{gather}$$\r\n\u3057\u305f\u304c\u3063\u3066, \u6570\u5217 $p(n) -\\dfrac{1}{3}$ \u306f, \u521d\u9805 $p(0) -\\dfrac{1}{3} = 1 -\\dfrac{1}{3} = \\dfrac{2}{3}$ , \u516c\u6bd4 $\\dfrac{1}{4}$ \u306e\u7b49\u6bd4\u6570\u5217\u3067\u3042\u308a\r\n$$\\begin{align}\r\np(n) -\\dfrac{1}{3} &amp; = \\dfrac{2}{3} \\left( \\dfrac{1}{4} \\right)^n \\\\\r\n\\therefore \\quad p(n) &amp; = \\underline{\\dfrac{1}{3} +\\dfrac{2}{3} \\left( \\dfrac{1}{4} \\right)^n}\r\n\\end{align}$$<\/p>","protected":false},"excerpt":{"rendered":"$2$ \u3064\u306e\u7c92\u5b50\u304c\u6642\u523b $0$ \u306b\u304a\u3044\u3066 \u25b3ABC \u306e\u9802\u70b9 A \u306b\u4f4d\u7f6e\u3057\u3066\u3044\u308b. \u3053\u308c\u3089\u306e\u7c92\u5b50\u306f\u72ec\u7acb\u306b\u904b\u52d5\u3057, \u305d\u308c\u305e\u308c $1$ \u79d2\u3054\u3068\u306b\u96a3\u306e\u9802\u70b9\u306b\u7b49\u78ba\u7387\u3067\u79fb\u52d5\u3057\u3066\u3044\u304f\u3068\u3059\u308b. \u305f\u3068\u3048\u3070, \u3042\u308b\u6642\u523b\u3067\u70b9 C \u306b\u3044\u308b\u7c92\u5b50\u306f &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/kyr201402\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[114],"tags":[140,112],"class_list":["post-1111","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2014","tag-kyoto_r","tag-112"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=1111"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1111\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}