{"id":1363,"date":"2016-12-29T01:46:00","date_gmt":"2016-12-28T16:46:00","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1363"},"modified":"2021-11-03T20:02:52","modified_gmt":"2021-11-03T11:02:52","slug":"htb201503","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/htb201503\/","title":{"rendered":"\u4e00\u6a4b\u59272015\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(n\\) \u3092 \\(4\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b.\r\n\u6b63 \\(n\\) \u89d2\u5f62\u306e \\(2\\) \u3064\u306e\u9802\u70b9\u3092\u7121\u4f5c\u70ba\u306b\u9078\u3073, \u305d\u308c\u3089\u3092\u901a\u308b\u76f4\u7dda\u3092 \\(l\\) \u3068\u3059\u308b.\r\n\u3055\u3089\u306b, \u6b8b\u308a\u306e \\(n-2\\) \u500b\u306e\u9802\u70b9\u304b\u3089 \\(2\\) \u3064\u306e\u9802\u70b9\u3092\u7121\u4f5c\u70ba\u306b\u9078\u3073, \u305d\u308c\u3089\u3092\u901a\u308b\u76f4\u7dda\u3092 \\(m\\) \u3068\u3059\u308b.\r\n\u76f4\u7dda \\(l\\) \u3068 \\(m\\) \u304c\u5e73\u884c\u306b\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.<\/p>\r\n<hr \/>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\\(l\\) \u3068 \\(m\\) \u3092\u9078\u3073\u65b9\u306f\u5168\u90e8\u3067\r\n\\[\r\n{} _ n \\text{C} {} _ 2 \\cdot {} _ {n-2} \\text{C} {} _ 2 \\quad \\text{\u901a\u308a}\r\n\\]\r\n<ol>\r\n<li><p><strong>1*<\/strong>\u3000\\(n\\) \u304c\u5947\u6570\u306e\u3068\u304d<br \/>\r\n\\(l\\) \u306e\u9078\u3073\u65b9\u306f \\({} _ n \\text{C} {} _ 2\\) \u901a\u308a.\r\n\\(l\\) \u306f, \u6b63 \\(n\\) \u89d2\u5f62\u306e\u4e00\u8fba\u3068\u5e73\u884c\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308c\u3070, \\(m\\) \u304c \\(l\\) \u3068\u5e73\u884c\u3068\u306a\u308b\u65b9\u6cd5\u306f\r\n\\[\r\n\\dfrac{n-3}{2} \\quad \\text{\u901a\u308a}\r\n\\]\r\n\u3057\u305f\u304c\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\dfrac{{} _ n \\text{C} {} _ 2 \\cdot \\dfrac{n-3}{2}}{{} _ n \\text{C} {} _ 2 \\cdot {} _ {n-2} \\text{C} {} _ 2} = \\dfrac{1}{n-2}\r\n\\]<\/li>\r\n<li><p><strong>2*<\/strong>\u3000\\(n\\) \u304c\u5076\u6570\u306e\u3068\u304d\r\n<ul>\r\n<li><p>\\(l\\) \u304c\u6b63 \\(n\\) \u89d2\u5f62\u306e\u4e00\u8fba\u3068\u5e73\u884c\u306b\u306a\u308b\u65b9\u6cd5\u306f\r\n\\[\r\n\\dfrac{n}{2} \\cdot \\dfrac{n}{2} = \\dfrac{n^2}{4} \\quad \\text{\u901a\u308a}\r\n\\]\r\n\u3053\u306e\u3068\u304d, \\(m\\) \u304c \\(l\\) \u3068\u5e73\u884c\u3068\u306a\u308b\u65b9\u6cd5\u306f\r\n\\[\r\n\\dfrac{n-2}{2} \\quad \\text{\u901a\u308a}\r\n\\]<\/li>\r\n<li><p>\\(l\\) \u304c\u6b63 \\(n\\) \u89d2\u5f62\u306e\u8fba\u3068\u5e73\u884c\u306b\u306a\u3089\u306a\u3044\u65b9\u6cd5\u306f\r\n\\[\r\n{} _ {\\frac{n}{2}} \\text{C} {} _ 2 = \\dfrac{n (n-2)}{4} \\quad \\text{\u901a\u308a}\r\n\\]\r\n\u3053\u306e\u3068\u304d, \\(m\\) \u304c \\(l\\) \u3068\u5e73\u884c\u3068\u306a\u308b\u65b9\u6cd5\u306f\r\n\\[\r\n\\dfrac{n-4}{2} \\quad \\text{\u901a\u308a}\r\n\\]<\/li>\r\n<\/ul>\r\n\u3057\u305f\u304c\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\\begin{align}\r\n& \\dfrac{\\dfrac{n^2}{4} \\cdot \\dfrac{n-2}{2} +\\dfrac{n (n-2)}{4} \\cdot \\dfrac{n-4}{2}}{{} _ n \\text{C} {} _ 2 \\cdot {} _ {n-2} \\text{C} {} _ 2} \\\\\r\n& \\qquad = \\dfrac{n +(n-4)}{2 (n-1) (n-3)} \\\\\r\n& \\qquad = \\dfrac{n-2}{(n-1) (n-3)}\r\n\\end{align}\\]<\/li>\r\n<\/ol>\r\n<p>\u4ee5\u4e0a\u3088\u308a, \u6c42\u3081\u308b\u78ba\u7387\u306f\r\n\\[\r\n\\underline{\\left\\{ \\begin{array}{ll} \\dfrac{1}{n-2} & ( \\ n \\ \\text{\u304c\u5947\u6570\u306e\u3068\u304d} \\ ) \\\\ \\dfrac{n-2}{(n-1) (n-3)} & ( \\ n \\ \\text{\u304c\u5076\u6570\u306e\u3068\u304d} \\ ) \\end{array} \\right.}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(n\\) \u3092 \\(4\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. \u6b63 \\(n\\) \u89d2\u5f62\u306e \\(2\\) \u3064\u306e\u9802\u70b9\u3092\u7121\u4f5c\u70ba\u306b\u9078\u3073, \u305d\u308c\u3089\u3092\u901a\u308b\u76f4\u7dda\u3092 \\(l\\) \u3068\u3059\u308b. \u3055\u3089\u306b, \u6b8b\u308a\u306e \\(n-2\\) \u500b\u306e\u9802\u70b9\u304b\u3089 \\(2\\) \u3064\u306e\u9802\u70b9 &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/htb201503\/\">\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":[136],"tags":[146,137],"class_list":["post-1363","post","type-post","status-publish","format-standard","hentry","category-hitotsubashi_2015","tag-hitotsubashi","tag-137"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1363","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=1363"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1363\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1363"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1363"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}