{"id":90,"date":"2007-12-31T15:16:54","date_gmt":"2007-12-31T06:16:54","guid":{"rendered":"http:\/\/njet.oops.jp\/wordpress\/2007\/12\/31\/%e7%b5%84%e5%90%88%e3%81%9b%e3%81%ae%e6%95%b0%e3%80%81%e3%83%a1%e3%83%a2\/"},"modified":"2013-04-15T13:14:28","modified_gmt":"2013-04-15T04:14:28","slug":"%e7%b5%84%e5%90%88%e3%81%9b%e3%81%ae%e6%95%b0%e3%80%81%e3%83%a1%e3%83%a2","status":"publish","type":"post","link":"https:\/\/njet.oops.jp\/wordpress\/2007\/12\/31\/%e7%b5%84%e5%90%88%e3%81%9b%e3%81%ae%e6%95%b0%e3%80%81%e3%83%a1%e3%83%a2\/","title":{"rendered":"\u7d44\u5408\u305b\u306e\u6570\u3001\u30e1\u30e2"},"content":{"rendered":"<p>\u5927\u6666\u65e5\u306b\u4f55\u3092\u3084\u3063\u3066\u3044\u308b\u3093\u3060(\u82e6\u7b11)\u3001\u3068\u3044\u3046\u3053\u3068\u3060\u304c\u3001\u3075\u3068\u601d\u3044\u3064\u3044\u305f\u306e\u3067\u5fd8\u308c\u306a\u3044\u3046\u3061\u306b\u30e1\u30e2\u3002\u3044\u3084\u306a\u306b\u3001\u7c21\u5358\u306a\u8a71\u306a\u3093\u3060\u304c\u3002<\/p>\n<p>\u5909\u6570\u306e\u500b\u6570\u306f\u5e7e\u3064\u3067\u3082\u3044\u3044\u306e\u3060\u304c\u3001\u7c21\u5358\u306e\u70ba\u306b3\u500b\u3068\u3059\u308b\u3002$x$, $y$, $z$ \u306f\u6b63\u306e\u6574\u6570\u3068\u3057\u3001$x+y+z=n$ \u3092\u6e80\u305f\u3059\u3068\u3059\u308b\u3002$n$\u3082\u6b63\u306e\u6574\u6570\u3002\u3053\u306e\u3088\u3046\u306a\u7d44$(x,y,z)$\u306e\u500b\u6570\u3092\u6c42\u3081\u305f\u3044\u3002\u666e\u901a\u306f\u6b21\u306e\u3088\u3046\u306b\u3059\u308b\u3068\u601d\u3046\u3002<br \/>\n\u4f8b\u3048\u3070\u3001$(x,y,z)=(2,3,4)$\u306a\u3089\u3070\u3001\u3053\u308c\u3092<br \/>\n\u3000\u25cb\u25cb\uff5c\u25cb\u25cb\u25cb\uff5c\u25cb\u25cb\u25cb\u25cb<br \/>\n\u3068\u5bfe\u5fdc\u3055\u305b\u308b\u3002\u3088\u3063\u3066\u3001\u25cb\u5370\u3092\u4e00\u5217\u306b$n$\u500b\u4e26\u3079\u3066\u304a\u3044\u3066\u3001$(n-1)$\u500b\u306e\u9699\u9593\u304b\u30892\u500b\u533a\u5207\u308a\u5834\u6240\u3092\u9078\u3079\u3070\u3088\u3044\u3002\u5f93\u3063\u3066\u3001\u6c42\u3081\u308b\u500b\u6570\u306f $_{n-1}\\mathrm{C}_2$ \u3068\u306a\u308b\u3002<\/p>\n<p>\u3053\u308c\u3068\u672c\u8cea\u7684\u306b\u306f\u540c\u3058\u3060\u3068\u601d\u3046\u304c\u3001\u6b21\u306e\u3088\u3046\u306a\u8868\u73fe\u3082\u3042\u308b\u306a\u3042\u3001\u3068\u601d\u3063\u305f\u3002$a=x$, $b=x+y$, $c=x+y+z$\u3068\u304a\u3051\u3070\uff0c\u6761\u4ef6\u306f\\[ 1\\leq a < b < c = n \\]\u3068\u306a\u308b\u3002$(x,y,z)$\u3068$(a,b,c)$\u306f1\u5bfe1\u306b\u5bfe\u5fdc\u3059\u308b\u304b\u3089\u3001$1$\u304b\u3089$(n-1)$\u307e\u3067\u306e$(n-1)$\u500b\u306e\u6574\u6570\u304b\u3089 $a$ \u3068 $b$ \u3068\u3044\u3046\u7570\u306a\u308b2\u500b\u3092\u9078\u3079\u3070\u3088\u3044\u3002\n\n\u3053\u306e\u65b9\u6cd5\u3092\u7528\u3044\u308b\u3068\u3001\u6761\u4ef6\u304c\u4e0d\u7b49\u5f0f $x+y+z\\leq n$ \u306b\u306a\u3063\u3066\u3082\u5168\u304f\u540c\u69d8\u306b\u89e3\u3051\u308b\u3002\n\\[ 1 \\leq a < b < c \\leq n \\] \n\u3068\u306a\u308b\u304b\u3089\u3001$1$\u304b\u3089$n$\u307e\u3067\u306e$n$\u500b\u304b\u30893\u500b\u306e\u7570\u306a\u308b\u6574\u6570 $a$, $b$, $c$ \u3092\u9078\u3079\u3070\u3088\u3044\u3002\n\n\u66f8\u304d\u306a\u304c\u3089\u3001\u3042\u308c\uff1f\u3053\u308c\u3063\u3066\u3001\u4ee5\u524d\u306b\u3082\u8003\u3048\u305f\u3053\u3068\u304c\u3042\u308b\u3088\u3046\u306a\u6c17\u304c\u3002\u3046\u30fc\u3093\u3001\u307e\u3063\u305f\u304f\u540c\u3058\u3067\u306f\u306a\u3044\u306b\u3057\u3066\u3082\u3001\u307b\u3068\u3093\u3069\u4f3c\u305f\u8a71\u307f\u305f\u3044\u306a\u3082\u306e\u306f\u3001\u4ed6\u306b\u3082\u3042\u3063\u305f\u3088\u3046\u306b\u3082\u601d\u3046\u3002\u307e\u3042\u3001\u3044\u3044\u3084\u3002\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5927\u6666\u65e5\u306b\u4f55\u3092\u3084\u3063\u3066\u3044\u308b\u3093\u3060(\u82e6\u7b11)\u3001\u3068\u3044\u3046\u3053\u3068\u3060\u304c\u3001\u3075\u3068\u601d\u3044\u3064\u3044\u305f\u306e\u3067\u5fd8\u308c\u306a\u3044\u3046\u3061\u306b\u30e1\u30e2\u3002\u3044\u3084\u306a\u306b\u3001\u7c21\u5358\u306a\u8a71\u306a\u3093\u3060\u304c\u3002 \u5909\u6570\u306e\u500b\u6570\u306f\u5e7e\u3064\u3067\u3082\u3044\u3044\u306e\u3060\u304c\u3001\u7c21\u5358\u306e\u70ba\u306b3\u500b\u3068\u3059\u308b\u3002$x$, $y$, $z$ \u306f\u6b63\u306e\u6574\u6570\u3068\u3057\u3001$ [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-90","post","type-post","status-publish","format-standard","hentry","category-5"],"_links":{"self":[{"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/posts\/90","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/comments?post=90"}],"version-history":[{"count":51,"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/posts\/90\/revisions"}],"predecessor-version":[{"id":1841,"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/posts\/90\/revisions\/1841"}],"wp:attachment":[{"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/media?parent=90"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/categories?post=90"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/njet.oops.jp\/wordpress\/wp-json\/wp\/v2\/tags?post=90"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}