{"height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fblog.ngtkana.com%2Fentry%2F2024%2F04%2F18%2F220403\" title=\"\u3010\u95a2\u6570\u65b9\u7a0b\u5f0f\u3011\u7b97\u8853\u5e73\u5747\u3068\u53ef\u63db\u306a\u95a2\u6570 - \u30d6\u30ed\u30b0\u540d\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","provider_url":"https://hatena.blog","provider_name":"Hatena Blog","blog_url":"https://blog.ngtkana.com/","url":"https://blog.ngtkana.com/entry/2024/04/18/220403","blog_title":"\u30d6\u30ed\u30b0\u540d","author_name":"ngtkana","title":"\u3010\u95a2\u6570\u65b9\u7a0b\u5f0f\u3011\u7b97\u8853\u5e73\u5747\u3068\u53ef\u63db\u306a\u95a2\u6570","author_url":"https://blog.hatena.ne.jp/ngtkana/","version":"1.0","type":"rich","published":"2024-04-18 22:04:03","image_url":null,"width":"100%","categories":[],"description":"\u554f\u984c \u9023\u7d9a\u95a2\u6570 $f: \\mathbb{R} \\to \\mathbb{R}$ \u3067\u3042\u3063\u3066\u3001\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3082\u306e\u3092\u7279\u5fb4\u3065\u3051\u3066\u304f\u3060\u3055\u3044\u3002 $$ f \\left ( \\frac { x + y } { 2 } \\right ) = \\frac { f(x) + f(y) } { 2 } \\ (x, y \\in \\mathbb{R}) $$ \u7b54\u3048 \u7b54\u3048\u306f\u4e00\u6b21\u4ee5\u4e0b\u306e\u591a\u9805\u5f0f\u95a2\u6570\u3001\u3064\u307e\u308a $f(x) = a x + b \\ ( a, b \\in \\mathbb{R})$ \u3067\u66f8\u3051\u308b\u95a2\u6570\u3067\u3059\u3002 \u8a3c\u660e \u9805\u6570 $3$ \u306e\u7b49\u5dee\u6570\u5217\u306f $f$ \u306b\u3088\u308a\u7b49\u5dee\u6570\u5217\u306b\u5199\u308a\u307e\u3059\u3002\u5f93\u3063\u3066\u6570\u5b66\u7684\u5e30\u7d0d\u6cd5\u306b\u3088\u308a\u4efb\u610f\u306e\uff08\u6709\u9650\u9805\u306e\u3001\u5f93\u3063\u3066\u7121\u9650\u2026"}