{"id":1947,"date":"2021-11-03T16:13:38","date_gmt":"2021-11-03T07:13:38","guid":{"rendered":"https:\/\/www.roundown.net\/nyushi\/?p=1947"},"modified":"2021-11-03T16:13:38","modified_gmt":"2021-11-03T07:13:38","slug":"htb201603","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/htb201603\/","title":{"rendered":"\u4e00\u6a4b\u59272016\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\u786c\u8ca8\u304c \\(2\\) \u679a\u3042\u308b.\r\n\u6700\u521d\u306f \\(2\\) \u679a\u3068\u3082\u8868\u306e\u72b6\u614b\u3067\u7f6e\u304b\u308c\u3066\u3044\u308b. \u6b21\u306e\u64cd\u4f5c\u3092 \\(n\\) \u56de\u884c\u3063\u305f\u3042\u3068, \u786c\u8ca8\u304c \\(2\\) \u679a\u3068\u3082\u88cf\u306b\u306a\u3063\u3066\u3044\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p>\r\n<ol>\r\n<li>[\u64cd\u4f5c]\u3000\\(2\\) \u679a\u3068\u3082\u8868, \u307e\u305f\u306f \\(2\\) \u679a\u3068\u3082\u88cf\u306e\u3068\u304d\u306b\u306f, \\(2\\) \u679a\u306e\u786c\u8ca8\u4e21\u65b9\u3092\u6295\u3052\u308b. \u8868\u3068\u88cf\u304c \\(1\\) \u679a\u305a\u3064\u306e\u3068\u304d\u306b\u306f, \u8868\u306b\u306a\u3063\u3066\u3044\u308b\u786c\u8ca8\u3060\u3051\u3092\u6295\u3052\u308b.<\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\u8868\u306e\u679a\u6570\u304c \\(0\\) \u679a, \\(1\\) \u679a, \\(2\\) \u679a\u3067\u3042\u308b\u72b6\u614b\u3092\u305d\u308c\u305e\u308c \\(S_0 , S_1 , S_2\\) \u3068\u304a\u304f.<br \/>\r\n\u64cd\u4f5c \\(1\\) \u56de\u3054\u3068\u306e\u72b6\u614b\u9077\u79fb\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308b.<\/p>\r\n<img decoding=\"async\" src=\"\/nyushi\/wp-content\/uploads\/htb20160301.svg\" alt=\"htb20160301\" class=\"aligncenter size-full\" \/>\r\n<p>\u64cd\u4f5c \\(n\\) \u56de\u5f8c\u306b, \\(S_0 , S_1 , S_2\\) \u3067\u3042\u308b\u78ba\u7387\u3092\u305d\u308c\u305e\u308c \\(p_n , q_n , r_n\\) \u3068\u304a\u304f\u3068\r\n\\[\\begin{align}\r\np_0 & = q_0 = 0 , \\ r_0 = 1 \\\\\r\np _ {n+1} & = \\dfrac{1}{4} p_n +\\dfrac{1}{2} q_n +\\dfrac{1}{4} r_n \\quad ... [1] \\\\\r\nq _ {n+1} & = \\dfrac{1}{2} p_n +\\dfrac{1}{2} q_n +\\dfrac{1}{2} r_n \\quad ... [2] \\\\\r\nr _ {n+1} & = \\dfrac{1}{4} p_n +\\dfrac{1}{4} r_n \\\\\r\n\\end{align}\\]\r\n\\(p_n +q_n +r_n = 1\\) \u306a\u306e\u3067, [2] \u3088\u308a, \\(n \\geqq 1\\) \u306b\u304a\u3044\u3066\r\n\\[\r\nq_n = \\dfrac{1}{2}\r\n\\]\r\n[1] \u306b\u4ee3\u5165\u3059\u308b\u3068\r\n\\[\r\np _ {n+1} = \\dfrac{1}{4} p_n +\\dfrac{1}{4} +\\dfrac{1}{4} \\left( \\dfrac{1}{2} -p_n\\right) = \\dfrac{3}{8}\r\n\\]\r\n\u3086\u3048\u306b, \\(n \\geqq 2\\) \u306b\u304a\u3044\u3066\r\n\\[\r\np_n = \\dfrac{3}{8}\r\n\\]\r\n\\(n=1\\) \u306e\u3068\u304d\u306f\r\n\\[\r\np_1 = \\dfrac{1}{4} \\cdot 0 +\\dfrac{1}{2} \\cdot 0 +\\dfrac{1}{4} \\cdot 1 = \\dfrac{1}{4}\r\n\\]\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} \\dfrac{1}{4} & ( \\ n = 1 \\ \\text{\u306e\u3068\u304d} \\ ) \\\\ \\dfrac{3}{8} & ( \\ n \\geqq 2 \\ \\text{\u306e\u3068\u304d} \\ ) \\end{array} \\right.}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u786c\u8ca8\u304c \\(2\\) \u679a\u3042\u308b. \u6700\u521d\u306f \\(2\\) \u679a\u3068\u3082\u8868\u306e\u72b6\u614b\u3067\u7f6e\u304b\u308c\u3066\u3044\u308b. \u6b21\u306e\u64cd\u4f5c\u3092 \\(n\\) \u56de\u884c\u3063\u305f\u3042\u3068, \u786c\u8ca8\u304c \\(2\\) \u679a\u3068\u3082\u88cf\u306b\u306a\u3063\u3066\u3044\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088. [\u64cd\u4f5c]\u3000\\(2\\) \u679a\u3068\u3082\u8868, \u307e\u305f\u306f  &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/htb201603\/\">\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":[161],"tags":[146,162],"class_list":["post-1947","post","type-post","status-publish","format-standard","hentry","category-hitotsubashi_2016","tag-hitotsubashi","tag-162"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1947","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=1947"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1947\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1947"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1947"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}