{"id":1238,"date":"2015-08-19T10:57:06","date_gmt":"2015-08-19T01:57:06","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1238"},"modified":"2021-03-23T08:25:39","modified_gmt":"2021-03-22T23:25:39","slug":"kyr201505","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr201505\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb2015\uff1a\u7b2c5\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(a , b , c , d , e\\) \u3092\u6b63\u306e\u5b9f\u6570\u3068\u3057\u3066\u6574\u5f0f\r\n\\[\\begin{align}\r\nf(x) & = ax^2 +bx +c \\\\\r\ng(x) & = dx +e\r\n\\end{align}\\]\r\n\u3092\u8003\u3048\u308b. \u3059\u3079\u3066\u306e\u6b63\u306e\u6574\u6570 \\(n\\) \u306b\u5bfe\u3057\u3066, \\(\\dfrac{f(n)}{g(n)}\\) \u306f\u6574\u6570\u3067\u3042\u308b\u3068\u3059\u308b.\r\n\u3053\u306e\u3068\u304d, \\(f(x)\\) \u306f \\(g(x)\\) \u3067\u5272\u308a\u5207\u308c\u308b\u3053\u3068\u3092\u793a\u305b.<\/p>\r\n<hr>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\\(P(x) = \\dfrac{f(x)}{g(x)}\\) \u3068\u304a\u304f.<br \/>\r\n\\(f(x) , g(x)\\) \u306f\u305d\u308c\u305e\u308c \\(x\\) \u306e \\(2\\) \u6b21\u5f0f, \\(1\\) \u6b21\u5f0f\u306a\u306e\u3067, \u5b9f\u6570 \\(p , q , r\\) \u3092\u7528\u3044\u3066\r\n\\[\r\nP(x) = px +q +\\dfrac{r}{g(x)} \\quad ... [1]\r\n\\]\r\n\u3068\u8868\u305b\u308b.<br \/>\r\n\\(r = 0\\) \u3067\u3042\u308b\u3053\u3068\u3092\u793a\u305b\u3070\u3088\u3044.<br \/>\r\n[1] \u3088\u308a\r\n\\[\r\nP(n+1) -P(n) = p -\\dfrac{dr}{g(n+1) g(n)}\r\n\\]\r\n\u540c\u69d8\u306b\u8003\u3048\u308c\u3070\r\n\\[\r\nP(n+2) -P(n+1) = p -\\dfrac{dr}{g(n+2) g(n+1)}\r\n\\]\r\n\u3057\u305f\u304c\u3063\u3066\r\n\\[\\begin{align}\r\n( P(n+2) & -P(n+1) ) -( P(n+1) -P(n) ) \\\\\r\n& = -\\dfrac{dr}{g(n+2) g(n+1)} +\\dfrac{dr}{g(n+1) g(n)} \\\\\r\n& = \\underline{\\dfrac{2 d^2 r}{g(n+2) g(n+1) g(n)}} _ {[2]}\r\n\\end{align}\\]\r\n\u3059\u3079\u3066\u306e\u81ea\u7136\u6570 \\(n\\) \u306b\u3064\u3044\u3066, \\(P(n)\\) \u306f\u6574\u6570\u306a\u306e\u3067, \\(P(n+2) -P(n)\\) \u3082\u6574\u6570\u3067\u3042\u308b.<br \/>\r\n\u3053\u3053\u3067, \\(r \\neq 0\\) \u3068\u4eee\u5b9a\u3059\u308b\u3068\r\n\\[\r\n\\displaystyle\\lim _ {n \\rightarrow \\infty} g(n+2) g(n+1) g(n) = \\infty\r\n\\]\r\n\u306a\u306e\u3067, \u5341\u5206\u306b\u5927\u304d\u306a \\(n\\) \u3092\u3068\u308c\u3070, \\(-1 \\lt [2] \\lt 1\\) \u3068\u306a\u308b\u305f\u3081, \u77db\u76fe\u3059\u308b.<br \/>\r\n\u3088\u3063\u3066, \\(r = 0\\) \u3067\u3042\u308a, \u984c\u610f\u306f\u793a\u3055\u308c\u305f.<\/p>\r\n","protected":false},"excerpt":{"rendered":"\\(a , b , c , d , e\\) \u3092\u6b63\u306e\u5b9f\u6570\u3068\u3057\u3066\u6574\u5f0f \\[\\begin{align} f(x) &#038; = ax^2 +bx +c \\\\ g(x) &#038; = dx +e \\end{align}\\] \u3092\u8003\u3048\u308b. \u3059\u3079 &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/kyr201505\/\">\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":[126],"tags":[140,137],"class_list":["post-1238","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2015","tag-kyoto_r","tag-137"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1238","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=1238"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1238\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1238"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1238"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}