{"id":205,"date":"2011-12-02T23:18:56","date_gmt":"2011-12-02T14:18:56","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=205"},"modified":"2021-09-16T06:28:37","modified_gmt":"2021-09-15T21:28:37","slug":"ngr200904a","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/ngr200904a\/","title":{"rendered":"\u540d\u53e4\u5c4b\u5927\u7406\u7cfb2009\uff1a\u7b2c4\u554f(A)"},"content":{"rendered":"<hr \/>\n<p>\u3055\u3044\u3053\u308d\u3092\u6295\u3052\u308b\u3068, \\(1\\) \u304b\u3089 \\(6\\) \u307e\u3067\u306e\u6574\u6570\u306e\u76ee\u304c\u7b49\u3057\u3044\u78ba\u7387\u3067\u51fa\u308b\u3068\u3059\u308b.\r\n\u3055\u3044\u3053\u308d\u3092 \\(n\\) \u56de\uff08 \\(n=1, 2, 3, \\cdots\\) \uff09\u6295\u3052\u308b\u3068\u304d, \u51fa\u308b\u76ee\u306e\u7a4d\u306e\u4e00\u306e\u4f4d\u304c \\(j \\ ( j = 0, 1, 2, \\cdots , 9 )\\) \u3068\u306a\u308b\u78ba\u7387\u3092 \\(p _ n(j)\\) \u3068\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\\(p _ 2(0) , p _ 2(1) , p _ 2(2)\\) \u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(p _ {n+1}(1)\\) \u3092, \\(p _ n(1)\\) \u3068 \\(p _ n(7)\\) \u3092\u7528\u3044\u3066\u8868\u305b.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000\\(p _ n(1)+p _ n(3)+p _ n(7)+p _ n(9)\\) \u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(4)<\/strong>\u3000\\(p _ n(5)\\) \u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>\\(1\\) \u306e\u4f4d\u304c \\(0\\) \u3068\u306a\u308b\u306e\u306f, \\(5\\) \u3068\u5076\u6570\u304c\u51fa\u308c\u3070\u3088\u3044\u306e\u3067\r\n\\[\r\np _ 2(0) = 2 \\cdot \\dfrac{1}{6} \\cdot \\dfrac{1}{2} = \\underline{\\dfrac{1}{6}}\n\\]\r\n\\(1\\) \u306e\u4f4d\u304c \\(1\\) \u3068\u306a\u308b\u306e\u306f, \\(1\\) \u304c \\(2\\) \u56de\u51fa\u308c\u3070\u3088\u3044\u306e\u3067\r\n\\[\r\np _ 2(1) = \\dfrac{1}{6} \\cdot \\dfrac{1}{6} = \\underline{\\dfrac{1}{36}}\n\\]\r\n\\(1\\) \u306e\u4f4d\u304c \\(2\\) \u3068\u306a\u308b\u306e\u306f, \\(1\\) \u3068 \\(2\\) , \\(2\\) \u3068 \\(6\\) , \\(3\\) \u3068 \\(4\\) \u304c\u51fa\u308c\u3070\u3088\u3044\u306e\u3067\r\n\\[\r\np _ 2(2) = 3 \\cdot 2 \\cdot \\dfrac{1}{6} \\cdot \\dfrac{1}{6} = \\underline{\\dfrac{1}{6}}\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p>\\(n+1\\) \u56de\u76ee\u3067 \\(1\\) \u306e\u4f4d\u304c \\(1\\) \u3068\u306a\u308b\u306e\u306f, \u4ee5\u4e0b\u306e\u5834\u5408\u3067\u3042\u308b.<\/p>\r\n<ul>\r\n<li><p>\\(n\\) \u56de\u76ee\u3067 \\(1\\) \u306e\u4f4d\u304c \\(1\\) \u3067, \\(n+1\\) \u56de\u76ee\u3067 \\(1\\) \u304c\u51fa\u308b.<\/p><\/li>\r\n<li><p>\\(n\\) \u56de\u76ee\u3067 \\(7\\) \u306e\u4f4d\u304c \\(1\\) \u3067, \\(n+1\\) \u56de\u76ee\u3067 \\(3\\) \u304c\u51fa\u308b.<\/p><\/li>\r\n<\/ul>\r\n<p>\u3088\u3063\u3066\r\n\\[\r\np _ {n+1}(1) = \\underline{\\dfrac{1}{6}p _ n(1) +\\dfrac{1}{6}p _ n(7)}\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p>\u300c \u5076\u6570\u304c \\(1\\) \u56de\u3067\u3082\u51fa\u308c\u3070, \\(1\\) \u306e\u4f4d\u306f\u5076\u6570\u306b\u306a\u308b. \u300d ... [1]\r\n\u307e\u305f, \u300c \u5076\u6570\u304c\u51fa\u305a\u306b, \\(5\\) \u304c \\(1\\) \u56de\u3067\u3082\u51fa\u308c\u3070, \\(1\\) \u306e\u4f4d\u306f \\(5\\) \u3068\u306a\u308b. \u300d ... [2]\r\n\u4ee5\u4e0a\u3088\u308a, \\(1\\) \u3068 \\(3\\) \u306e\u307f\u304c\u51fa\u308c\u3070\u3088\u3044\u306e\u3067\r\n\\[\r\np _ n(1)+p _ n(3)+p _ n(7)+p _ n(9) = \\underline{\\left( \\dfrac{1}{3} \\right)^n}\n\\]\r\n<p><strong>(4)<\/strong><\/p>\r\n[1] [2] \u3088\u308a\r\n\\[\r\np _ n(5) = \\underline{\\left( \\dfrac{1}{2} \\right)^n -\\left( \\dfrac{1}{3} \\right)^n}\n\\]\r\n","protected":false},"excerpt":{"rendered":"\u3055\u3044\u3053\u308d\u3092\u6295\u3052\u308b\u3068, \\(1\\) \u304b\u3089 \\(6\\) \u307e\u3067\u306e\u6574\u6570\u306e\u76ee\u304c\u7b49\u3057\u3044\u78ba\u7387\u3067\u51fa\u308b\u3068\u3059\u308b. \u3055\u3044\u3053\u308d\u3092 \\(n\\) \u56de\uff08 \\(n=1, 2, 3, \\cdots\\) \uff09\u6295\u3052\u308b\u3068\u304d, \u51fa\u308b\u76ee\u306e\u7a4d\u306e\u4e00\u306e\u4f4d\u304c \\(j \\ ( &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/ngr200904a\/\">\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":[33],"tags":[143,15],"class_list":["post-205","post","type-post","status-publish","format-standard","hentry","category-nagoya_r_2009","tag-nagoya_r","tag-15"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/205","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=205"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/205\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}