{"id":729,"date":"2013-04-12T08:37:42","date_gmt":"2013-04-11T23:37:42","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=729"},"modified":"2021-10-31T08:28:36","modified_gmt":"2021-10-30T23:28:36","slug":"tkb200702","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/tkb200702\/","title":{"rendered":"\u6771\u5927\u6587\u7cfb2007\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(r\\) \u306f \\(0 \\lt r \\lt 1\\) \u3092\u307f\u305f\u3059\u5b9f\u6570, \\(n\\) \u306f \\(2\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b.\r\n\u5e73\u9762\u4e0a\u306b\u4e0e\u3048\u3089\u308c\u305f \\(1\\) \u3064\u306e\u5186\u3092, \u6b21\u306e\u6761\u4ef6\u30101\u3011, \u30102\u3011\u3092\u307f\u305f\u3059 \\(2\\) \u3064\u306e\u5186\u3067\u7f6e\u304d\u63db\u3048\u3089\u308c\u308b\u64cd\u4f5c\u3092 (P) \u3092\u8003\u3048\u308b.<\/p>\r\n<ol>\r\n<li><p>\u30101\u3011 \u65b0\u3057\u3044 \\(2\\) \u3064\u306e\u5186\u306e\u534a\u5f84\u306e\u6bd4\u306f \\(r : 1-r\\) \u3067, \u534a\u5f84\u306e\u548c\u306f\u3082\u3068\u306e\u5186\u306e\u534a\u5f84\u306b\u7b49\u3057\u3044.<\/p><\/li>\r\n<li><p>\u30102\u3011 \u65b0\u3057\u3044 \\(2\\) \u3064\u306e\u5186\u306f\u4e92\u3044\u306b\u5916\u63a5\u3057, \u3082\u3068\u306e\u5186\u306b\u5185\u63a5\u3059\u308b.<\/p><\/li>\r\n<\/ol>\r\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u3066, \u5e73\u9762\u4e0a\u306b \\(2^n\\) \u500b\u306e\u5186\u3092\u4f5c\u308b.<\/p>\r\n<ul>\r\n<li><p>\u6700\u521d\u306b, \u5e73\u9762\u4e0a\u306b\u534a\u5f84 \\(1\\) \u306e\u5186\u3092\u63cf\u304f.<\/p><\/li>\r\n<li><p>\u6b21\u306b, \u3053\u306e\u5186\u306b\u5bfe\u3057\u3066\u64cd\u4f5c(P)\u3092\u884c\u3044, \\(2\\) \u3064\u306e\u5186\u3092\u5f97\u308b\uff08\u3053\u308c\u3092 \\(1\\) \u56de\u76ee\u306e\u64cd\u4f5c\u3068\u3044\u3046\uff09.<\/p><\/li>\r\n<li><p>\\(k\\) \u56de\u76ee\u306e\u64cd\u4f5c\u3067\u5f97\u3089\u308c\u305f \\(2^k\\) \u500b\u306e\u5186\u306e\u305d\u308c\u305e\u308c\u306b\u3064\u3044\u3066, \u64cd\u4f5c (P) \u3092\u884c\u3044, \\(2^{k+1}\\) \u500b\u306e\u5186\u3092\u5f97\u308b\uff08 \\(1 \\leqq k \\leqq n-1\\) \uff09.<\/p><\/li>\r\n<\/ul>\r\n<ol>\r\n<li><p><strong>(1)<\/strong>\u3000\\(n\\) \u56de\u76ee\u306e\u64cd\u4f5c\u3067\u5f97\u3089\u308c\u308b \\(2^n\\) \u500b\u306e\u5186\u306e\u5468\u306e\u9577\u3055\u306e\u548c\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(2)<\/strong>\u3000\\(2\\) \u56de\u76ee\u306e\u64cd\u4f5c\u3067\u5f97\u3089\u308c\u308b \\(4\\) \u3064\u306e\u5186\u306e\u9762\u7a4d\u306e\u548c\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<li><p><strong>(3)<\/strong>\u3000\\(n\\) \u56de\u76ee\u306e\u64cd\u4f5c\u3067\u5f97\u3089\u308c\u308b \\(2^n\\) \u500b\u306e\u5186\u306e\u9762\u7a4d\u306e\u548c\u3092\u6c42\u3081\u3088.<\/p><\/li>\r\n<\/ol>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p><strong>(1)<\/strong><\/p>\r\n<p>\u64cd\u4f5c (P) \u3092\u884c\u3063\u3066\u3082, \u5186\u306e\u76f4\u5f84\u306e\u548c\u306f\u4e0d\u5909\u306a\u306e\u3067, \u5468\u306e\u9577\u3055\u306e\u548c\u306f\r\n\\[\r\n\\underline{2 \\pi}\r\n\\]\r\n<p><strong>(2)<\/strong><\/p>\r\n<p>\u4efb\u610f\u306e\u534a\u5f84 \\(k\\) \u306e\u5186\u306b\u5bfe\u3057\u3066, \u64cd\u4f5c (P) \u3092\u884c\u3046\u3068, \u5f97\u3089\u308c\u308b\u5186\u306e\u9762\u7a4d\u306e\u548c\u306f\r\n\\[\\begin{align}\r\n\\pi (rk)^2 & +\\pi \\left\\{ (1-r)k \\right\\}^2 \\\\\r\n& = \\pi k^2 \\left( 2r^2-2r+1 \\right)\r\n\\end{align}\\]\r\n\u3057\u305f\u304c\u3063\u3066, \u5186\u306e\u9762\u7a4d\u306e\u548c\u306f, \\(2r^2-2r+1\\) \u500d\u306b\u306a\u308b.<br \/>\r\n\u3088\u3063\u3066, (P) \u3092 \\(2\\) \u56de\u884c\u3063\u3066\u5f97\u3089\u308c\u308b\u5186\u306e\u9762\u7a4d\u306e\u548c\u306f\r\n\\[\r\n\\underline{\\pi \\left( 2r^2-2r+1 \\right)^2}\r\n\\]\r\n<p><strong>(3)<\/strong><\/p>\r\n<p><strong>(2)<\/strong> \u3068\u540c\u69d8\u306b\u8003\u3048\u308c\u3070, \u6c42\u3081\u308b\u9762\u7a4d\u306e\u548c\u306f\r\n\\[\r\n\\underline{\\pi \\left( 2r^2-2r+1 \\right)^n}\r\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(r\\) \u306f \\(0 \\lt r \\lt 1\\) \u3092\u307f\u305f\u3059\u5b9f\u6570, \\(n\\) \u306f \\(2\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. \u5e73\u9762\u4e0a\u306b\u4e0e\u3048\u3089\u308c\u305f \\(1\\) \u3064\u306e\u5186\u3092, \u6b21\u306e\u6761\u4ef6\u30101\u3011, \u30102\u3011\u3092\u307f\u305f\u3059 \\(2\\) \u3064\u306e\u5186\u3067\u7f6e\u304d\u63db &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/tkb200702\/\">\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":[105],"tags":[149,109],"class_list":["post-729","post","type-post","status-publish","format-standard","hentry","category-tokyo_b_2007","tag-tokyo_b","tag-109"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/729","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=729"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/729\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}