{"id":398,"date":"2012-05-18T23:28:13","date_gmt":"2012-05-18T14:28:13","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=398"},"modified":"2021-09-15T07:54:24","modified_gmt":"2021-09-14T22:54:24","slug":"ngr201203","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/ngr201203\/","title":{"rendered":"\u540d\u53e4\u5c4b\u5927\u7406\u7cfb2012\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(n\\) \u3092 \\(2\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b.\r\n\\(1\\) \u304b\u3089 \\(n\\) \u307e\u3067\u306e\u6574\u6570\u304c \\(1\\) \u3064\u305a\u3064\u66f8\u304b\u308c\u3066\u3044\u308b \\(n\\) \u679a\u306e\u30ab\u30fc\u30c9\u304c\u3042\u308b. \u305f\u3060\u3057, \u7570\u306a\u308b\u30ab\u30fc\u30c9\u306b\u306f\u7570\u306a\u308b\u6574\u6570\u304c\u66f8\u304b\u308c\u3066\u3044\u308b\u3082\u306e\u3068\u3059\u308b.\r\n\u3053\u306e \\(n\\) \u679a\u306e\u30ab\u30fc\u30c9\u304b\u3089, \\(1\\) \u679a\u306e\u30ab\u30fc\u30c9\u3092\u7121\u4f5c\u70ba\u306b\u53d6\u308a\u51fa\u3057\u3066, \u66f8\u304b\u308c\u305f\u6574\u6570\u3092\u8abf\u3079\u3066\u304b\u3089\u3082\u3068\u306b\u623b\u3059. \u3053\u306e\u8a66\u884c\u3092 \\(3\\) \u56de\u7e70\u308a\u8fd4\u3057, \u53d6\u308a\u51fa\u3057\u305f\u30ab\u30fc\u30c9\u306b\u66f8\u304b\u308c\u305f\u6574\u6570\u306e\u6700\u5c0f\u5024\u3092 \\(X\\) , \u6700\u5927\u5024\u3092 \\(Y\\) \u3068\u3059\u308b.\r\n\u6b21\u306e\u554f\u306b\u7b54\u3048\u3088. \u305f\u3060\u3057, \\(j\\) \u3068 \\(k\\) \u306f\u6b63\u306e\u6574\u6570\u3067 \\(j+k \\leqq n\\) \u3092\u6e80\u305f\u3059\u3068\u3059\u308b. \u307e\u305f, \\(s\\) \u306f \\(n-1\\) \u4ee5\u4e0b\u306e\u6b63\u306e\u6574\u6570\u3068\u3059\u308b.<\/p>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\\(X \\geqq j\\) \u304b\u3064 \\(Y \\leqq j+k\\) \u3068\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(X = j\\) \u304b\u3064 \\(Y = j+k\\) \u3068\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000\\(Y-X = s\\) \u3068\u306a\u308b\u78ba\u7387\u3092 \\(P(s)\\) \u3068\u3059\u308b. \\(P(s)\\) \u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(4)<\/strong>\u3000\\(n\\) \u304c\u5076\u6570\u306e\u3068\u304d, \\(P(s)\\) \u3092\u6700\u5927\u306b\u3059\u308b \\(s\\) \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>\\(3\\) \u56de\u3068\u3082, \\(j\\) \u4ee5\u4e0a \\(j+k\\) \u4ee5\u4e0b\u306e \\(k+1\\) \u679a\u3068\u306a\u308c\u3070\u3088\u3044\u306e\u3067, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\underline{\\dfrac{(k+1)^3}{n^3}}\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p>\\(3\\) \u56de\u306e\u7d44\u5408\u305b\u304c, \u4ee5\u4e0b\u306e \\(3\\) \u3064\u306e\u3044\u305a\u308c\u304b\u306b\u306a\u308c\u3070\u3088\u3044.<\/p>\r\n<ul>\r\n<li><p>\\(j\\) \u304c \\(2\\) \u56de, \\(j+k\\) \u304c \\(1\\) \u56de<\/p><\/li>\r\n<li><p>\\(j\\) \u304c \\(1\\) \u56de, \\(j+k\\) \u304c \\(2\\) \u56de<\/p><\/li>\r\n<li><p>\\(j , \\ j+m , \\ j+k \\ ( 1 \\leqq m \\leqq k-1 )\\) \u304c \\(1\\) \u56de\u305a\u3064<\/p><\/li>\r\n<\/ul>\r\n<p>\u3088\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\dfrac{3 +3 +(k-1) \\cdot 3 !}{n^3} = \\underline{\\dfrac{6k}{n^3}}\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p>\\(Y-X = s\\) \u306b\u5bfe\u3057\u3066, \\(X\\) \u306e\u9078\u3073\u65b9\u306f, \\(1 , \\cdots , n-s\\) \u306e \\(n-s\\) \u901a\u308a\u3042\u308b\u306e\u3067, <strong>(2)<\/strong> \u306e\u7d50\u679c\u3092\u7528\u3044\u3066\r\n\\[\r\nP(s) = (n-s) \\cdot \\dfrac{6s}{n^3} = \\underline{\\dfrac{6s (n-s)}{n^3}}\n\\]\r\n<p><strong>(4)<\/strong><\/p>\r\n<p>\\[\r\nP(s) =\\dfrac{6}{n^3} \\left\\{ -\\left( s -\\dfrac{n}{2} \\right)^2 +\\dfrac{n^2}{4} \\right\\}\n\\]\r\n\\(n\\) \u306f\u5076\u6570\u306a\u306e\u3067, \\(P(s)\\) \u304c\u6700\u5927\u3068\u3059\u308b\u306e\u306f\r\n\\[\r\ns = \\underline{\\dfrac{n}{2}}\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(n\\) \u3092 \\(2\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. \\(1\\) \u304b\u3089 \\(n\\) \u307e\u3067\u306e\u6574\u6570\u304c \\(1\\) \u3064\u305a\u3064\u66f8\u304b\u308c\u3066\u3044\u308b \\(n\\) \u679a\u306e\u30ab\u30fc\u30c9\u304c\u3042\u308b. \u305f\u3060\u3057, \u7570\u306a\u308b\u30ab\u30fc\u30c9\u306b\u306f\u7570\u306a\u308b\u6574\u6570\u304c\u66f8\u304b\u308c\u3066\u3044\u308b\u3082\u306e\u3068\u3059\u308b.  &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/ngr201203\/\">\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":[63],"tags":[143,68],"class_list":["post-398","post","type-post","status-publish","format-standard","hentry","category-nagoya_r_2012","tag-nagoya_r","tag-68"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/398","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=398"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/398\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=398"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=398"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}