{"height":"190","categories":["math-other","statistics"],"blog_url":"https://randommemory.hatenablog.com/","description":"\u3042\u308b\u6570\u5217\u306e\u53ce\u675f (1) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6 \u3067\u8a3c\u660e\u3057\u305f\u88dc\u984c\u3092\u4f7f\u3063\u3066\u4ee5\u4e0b\u306e\u5b9a\u7406\u3092\u793a\u3057\u305f\u3044\u3002 Theorem \u3042\u308b\u5b9f\u6570\u5217 $\\{a_n\\}_{n=1}^\\infty$ \u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u3066\u3001\u3042\u308b\u5b9f\u6570 $\\alpha$ \u306b\u5bfe\u3057\u3066 $a_n \\to \\alpha\\ (n \\to \\infty)$ \u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u6570\u5217\u3068 $0 \\begin{align*} b_{n+1} = r b_n + (1-r) a_n \\end{align*}\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001$n \\to \\infty$ \u3067 $b_n \\to \\alpha$ \u304c\u6210\u7acb\u3059\u308b\u3002 proof $b_{n+1} - \\alpha =\u2026","title":"\u3042\u308b\u6570\u5217\u306e\u53ce\u675f (2)","image_url":null,"version":"1.0","width":"100%","author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2021/09/30/211817","type":"rich","provider_name":"Hatena Blog","published":"2021-09-30 21:18:17","provider_url":"https://hatena.blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2021%2F09%2F30%2F211817\" title=\"\u3042\u308b\u6570\u5217\u306e\u53ce\u675f (2) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/"}