{"id":1044,"date":"2013-06-26T02:26:50","date_gmt":"2013-06-25T17:26:50","guid":{"rendered":"http:\/\/math.co.jp\/blog\/?p=1044"},"modified":"2013-06-26T02:27:22","modified_gmt":"2013-06-25T17:27:22","slug":"%e8%aa%a4%e3%81%a3%e3%81%9f%e5%ad%a6%e7%bf%92%e3%82%92%e3%81%97%e3%81%a6%e3%81%84%e3%82%8b%e4%ba%ba%e3%81%ae%e5%85%b8%e5%9e%8b%e4%be%8b","status":"publish","type":"post","link":"https:\/\/math.co.jp\/blog\/?p=1044","title":{"rendered":"\u8aa4\u3063\u305f\u5b66\u7fd2\u3092\u3057\u3066\u3044\u308b\u4eba\u306e\u5178\u578b\u4f8b"},"content":{"rendered":"

\u751f\u5f92\u306e\u8cea\u554f\u3092\u805e\u3044\u3066\u3044\u308b\u3068\u3001\u305d\u306e\u8cea\u554f\u5185\u5bb9\u304b\u3089\u3001\u305d\u306e\u8cea\u554f\u4e8b\u9805\u3068\u3044\u3046\u30d4\u30f3\u30dd\u30a4\u30f3\u30c8\u306e\u554f\u984c\u3067\u306f\u306a\u304f\u3001\u305d\u306e\u3088\u3046\u306a\u8cea\u554f\u3092\u3059\u308b\u306b\u81f3\u3063\u305f\u5927\u304d\u306a\u904e\u3061\u304c\u898b\u3048\u308b\u3053\u3068\u3082\u3042\u308b\u3002<\/p>\n

\u6700\u8fd1\u3001\u6b21\u306e\u3088\u3046\u306a\u8cea\u554f\u3092\u53d7\u3051\u305f\u3002
\n\u6570\u5b66III\u306e\u6f38\u5316\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u308b\u6570\u5217\u306e\u6975\u9650\u306e\u554f\u984c\u3002<\/p>\n

a_{n+1}=1\/2 a_{n}+1\/a_{n}
\na_{1}=1<\/p>\n

\u3068\u3044\u3046\u6f38\u5316\u5f0f\u3002\u307e\u305a\u306f\u3001\u89e3\u7b54\u3092\u8aac\u660e\u3057\u305f\u3042\u3068\u751f\u5f92\u306f\u6b21\u306e\u3088\u3046\u306b\u8cea\u554f\u306b\u6765\u305f\u3002<\/p>\n

\u300c\u5148\u751f\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u306e\u3084\u308a\u304b\u305f\u3067\u3088\u3044\u3067\u3059\u304b?\u300d<\/p>\n

\u6700\u521d\u4f55\u306e\u3053\u3068\u304b\u3088\u304f\u308f\u304b\u3089\u306a\u304b\u3063\u305f\u3002\u305d\u308c\u3067\u3001\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f\u3068\u8a00\u3046\u3068\u3001\u6f38\u5316\u5f0f\u306ea_{n+1} \u3068 a_{n} \u3092\u3068\u3082\u306b x \u306b\u304a\u304d\u304b\u3048\u3066<\/p>\n

x=1\/2 x+1\/x <\/p>\n

\u3068\u3059\u308b\u3002\u3053\u308c\u3092\u89e3\u304d, x>0 \u306e\u7bc4\u56f2\u306e\u89e3\u3092\u6c42\u3081\u308b\u3068\u221a2 \u306b\u306a\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6f38\u5316\u5f0f\u306f<\/p>\n

(\u2605) a_{n+1}-\u221a2 =1\/2 (a_{n}-\u221a2) \u3000\u3000(\u2190\u6b63\u3057\u304f\u306f\u3042\u308a\u307e\u305b\u3093)<\/p>\n

\u3068\u306a\u308b\u3068\u3044\u3046\u306e\u3060\u3002
\n\u3053\u306e\u7406\u5c48\u3082\u3088\u304f\u308f\u304b\u3089\u306a\u304b\u3063\u305f\u3002\u305d\u3053\u3067\u3001\u751f\u5f92\u3068\u8a71\u3092\u3057\u3066\u3082\u8a71\u304c\u901a\u3058\u306a\u3044\u6642\u9593\u304c\u6570\u5206\u3042\u308a\u3001\u305d\u306e\u6570\u5206\u5f8c\u306b\u751f\u5f92\u306e\u4e3b\u5f35\u304c\u3088\u3046\u3084\u304f\u308f\u304b\u3063\u305f\u3002\u305d\u308c\u306f\u3001<\/p>\n

a_{n+1}=pa_{n}+q
\n\u3068\u3044\u3046\u6f38\u5316\u5f0f\u306e\u5834\u5408\u3001 x=px+q \u3092\u3068\u304f\u3002\u305d\u3057\u3066\u3001\u305d\u306e\u89e3\u3092\u03b1\u3068\u3059\u308b\u3068\u6f38\u5316\u5f0f\u306f<\/p>\n

a_{n+1}-\u03b1=p(a_{n}-\u03b1)<\/p>\n

\u3068\u5909\u5f62\u3067\u304d\u308b\u3002\u3060\u304b\u3089\u3001\u6700\u521d\u306e\u6f38\u5316\u5f0f\u306e\u5834\u5408\u3082\u540c\u3058\u3088\u3046\u306b\u3067\u304d\u3066 (\u2605) \u304c\u5f97\u3089\u308c\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u3044\u3046\u3053\u3068\u3060\u3063\u305f\u3002<\/p>\n

\u3055\u3066\u3001\u3053\u308c\u3060\u3051\u306e\u8cea\u554f\u3067\u3053\u306e\u4eba\u306f\u6570\u5b66\u3092\u6700\u60aa\u306e\u52c9\u5f37\u65b9\u6cd5\u3067\u884c\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002
\n\u3064\u307e\u308a\u3001\u3059\u3067\u306b\u77e5\u3063\u3066\u3044\u308b\u3068\u3055\u308c\u308b\u6f38\u5316\u5f0f a_{n+1}=pa_{n}+q \u3092 x=px+q \u3092\u89e3\u3044\u3066
\n\u3000\u3000a_{n+1}-\u03b1 =p(a_{n}-\u03b1)
\n\u3068\u306a\u308b\u3053\u3068\u3092\u5168\u304f\u7406\u89e3\u305b\u305a\u306b\u3001\u5f62\u5f0f\u7684\u306b\u305f\u3060\u899a\u3048\u3066\u3044\u308b\u3060\u3051\u306a\u306e\u3060\u3002\u6f38\u5316\u5f0f\u3092\u3053\u306e\u3088\u3046\u306b\u5909\u5f62\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u7406\u89e3\u3057\u3088\u3046\u3068\u3044\u3046\u59ff\u52e2\u306f\u304a\u305d\u3089\u304f\u306a\u3044\u3002\u305f\u3060\u3001\u89e3\u304f\u305f\u3081\u306e\u624b\u9806\u3092\u4e38\u6697\u8a18\u3057\u305f\u3060\u3051\u306b\u3059\u304e\u306a\u3044\u306e\u3067\u3042\u308b\u3002
\n\u3060\u304b\u3089\u3053\u306e\u3088\u3046\u306a\u8cea\u554f\u3092\u3057\u3066\u3057\u307e\u3046\u3002\u6570\u5b66\u3092\u8210\u3081\u3066\u3044\u308b\u3068\u3044\u308f\u308c\u3066\u3082\u4ed5\u65b9\u306a\u3044\u5b66\u7fd2\u59ff\u52e2\u306a\u306e\u3060\u3002
\n\u6570\u5b66\u3067\u306f\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u3082\u306e\u3092\u5e73\u6c17\u3067\u7d50\u679c\u3060\u3051\u4f7f\u3063\u3066\u89e3\u3053\u3046\u3068\u3044\u3046\u59ff\u52e2\u306f\u6700\u60aa\u306a\u306e\u3067\u3042\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u751f\u5f92\u306e\u8cea\u554f\u3092\u805e\u3044\u3066\u3044\u308b\u3068\u3001\u305d\u306e\u8cea\u554f\u5185\u5bb9\u304b\u3089\u3001\u305d\u306e\u8cea\u554f\u4e8b\u9805\u3068\u3044\u3046\u30d4\u30f3\u30dd\u30a4\u30f3\u30c8\u306e\u554f\u984c\u3067\u306f\u306a\u304f\u3001\u305d\u306e\u3088\u3046\u306a\u8cea\u554f\u3092\u3059\u308b\u306b\u81f3\u3063\u305f\u5927\u304d\u306a\u904e\u3061\u304c\u898b\u3048\u308b\u3053\u3068\u3082\u3042\u308b\u3002 \u6700\u8fd1\u3001\u6b21\u306e\u3088\u3046\u306a\u8cea\u554f\u3092\u53d7\u3051\u305f\u3002 \u6570\u5b66III\u306e\u6f38\u5316\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u308b\u6570\u5217\u306e\u6975 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,4],"tags":[],"class_list":["post-1044","post","type-post","status-publish","format-standard","hentry","category-7","category-4"],"_links":{"self":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1044","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1044"}],"version-history":[{"count":2,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1044\/revisions"}],"predecessor-version":[{"id":1048,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1044\/revisions\/1048"}],"wp:attachment":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1044"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1044"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1044"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}