{"id":118,"date":"2011-11-28T00:13:39","date_gmt":"2011-11-27T15:13:39","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=118"},"modified":"2021-09-10T07:07:37","modified_gmt":"2021-09-09T22:07:37","slug":"osr201003","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/osr201003\/","title":{"rendered":"\u962a\u5927\u7406\u7cfb2010\uff1a\u7b2c3\u554f"},"content":{"rendered":"
\n

\\(\\ell , m , n\\) \u3092 \\(3\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. \u7b49\u5f0f\r\n\\[\r\n\\left( \\dfrac{n}{m} -\\dfrac{n}{2} +1 \\right) \\ell = 2\r\n\\]\r\n\u3092\u6e80\u305f\u3059 \\(\\ell , m , n\\) \u306e\u7d44\u3092\u3059\u3079\u3066\u6c42\u3081\u3088.<\/p>\r\n

\r\n\r\n

\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n

\\[\\begin{align}\r\n\\left( \\dfrac{n}{m} -\\dfrac{n}{2} +1 \\right) \\ell & = 2 \\\\\r\n( 2n -mn +2m ) \\ell & = 4m \\\\\r\n\\left\\{ \\underline{4 -(m-2)(n-2)} \\right\\} \\ell & = 4m \\quad ... [1]\n\\end{align}\\]\r\n\\(\\ell \\gt 0\\) , \\(m \\gt 0\\) \u306a\u306e\u3067, [1] \u306e\u4e0b\u7dda\u90e8\u306f\u6b63\u3068\u306a\u308b.
\r\n\\(m-2 \\geqq 1\\) , \\(n-2 \\geqq 1\\) \u306a\u306e\u3067, \u3053\u308c\u3092\u307f\u305f\u3059 \\(( m , n )\\) \u306e\u7d44\u306f\r\n\\[\r\n( m , n ) = ( 3 , 3 ) , ( 3 , 4 ) , ( 3 , 5 ) , ( 4 , 3 ) , ( 5 , 3 )\n\\]\r\n

    \r\n

  1. 1*<\/strong>\u3000\\(( m , n ) = ( 3, 3 )\\) \u306e\u3068\u304d, [1] \u306b\u4ee3\u5165\u3057\u3066,\r\n\\[\\begin{align}\r\n( 4 -1 \\cdot 1 ) \\ell = 4 \\cdot 3 \\\\\r\n3 \\ell & = 12 \\\\\r\n\\text{\u2234} \\quad \\ell & = 4\n\\end{align}\\]<\/li>\r\n

  2. 2*<\/strong>\u3000\\(( m , n ) = ( 3, 4 )\\) \u306e\u3068\u304d, [1] \u306b\u4ee3\u5165\u3057\u3066,\r\n\\[\\begin{align}\r\n( 4 -1 \\cdot 2 ) \\ell & = 4 \\cdot 3 \\\\\r\n2 \\ell & = 12 \\\\\r\n\\text{\u2234} \\quad \\ell & = 6\n\\end{align}\\]<\/li>\r\n

  3. 3*<\/strong>\u3000\\(( m , n ) = ( 3, 5 )\\) \u306e\u3068\u304d, [1] \u306b\u4ee3\u5165\u3057\u3066,\r\n\\[\\begin{align}\r\n( 4 -1 \\cdot 3 ) \\ell & = 4 \\cdot 3 \\\\\r\n\\text{\u2234} \\quad \\ell & = 12\n\\end{align}\\]<\/li>\r\n

  4. 4*<\/strong>\u3000\\(( m , n ) = ( 4, 3 )\\) \u306e\u3068\u304d, [1] \u306b\u4ee3\u5165\u3057\u3066,\r\n\\[\\begin{align}\r\n( 4 -2 \\cdot 1 ) \\ell & = 4 \\cdot 4 \\\\\r\n2 \\ell & = 16 \\\\\r\n\\text{\u2234} \\quad \\ell & = 8\n\\end{align}\\]<\/li>\r\n

  5. 5*<\/strong>\u3000\\(( m , n ) = ( 5, 3 )\\) \u306e\u3068\u304d, [1] \u306b\u4ee3\u5165\u3057\u3066,\r\n\\[\\begin{align}\r\n( 4 -3 \\cdot 1 ) \\ell & = 4 \\cdot 5 \\\\\r\n\\text{\u2234} \\quad \\ell & = 20\n\\end{align}\\]<\/li>\r\n<\/ol>\r\n

    1*<\/strong>\uff5e5*<\/strong> \u3088\u308a, \u6c42\u3081\u308b\u89e3\u306f\r\n\\[\r\n( \\ell, m , n ) = \\underline{( 4, 3 , 3 ) , ( 6, 3 , 4 ) , ( 8, 4 , 3 ) , ( 12, 3 , 5 ) , ( 20, 5 , 3 )}\n\\]\r\n","protected":false},"excerpt":{"rendered":"\\(\\ell , m , n\\) \u3092 \\(3\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b. \u7b49\u5f0f \\[ \\left( \\dfrac{n}{m} -\\dfrac{n}{2} +1 \\right) \\ell = 2 \\] \u3092\u6e80\u305f\u3059 \\(\\ell … \u7d9a\u304d\u3092\u8aad\u3080 →<\/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":[31],"tags":[142,14],"class_list":["post-118","post","type-post","status-publish","format-standard","hentry","category-osaka_r_2010","tag-osaka_r","tag-14"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/118","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=118"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/118\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}