{"provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","version":"1.0","categories":["math-other"],"type":"rich","height":"190","provider_url":"https://hatena.blog","author_name":"derwind","blog_url":"https://randommemory.hatenablog.com/","image_url":null,"author_url":"https://blog.hatena.ne.jp/derwind/","published":"2021-12-08 22:35:34","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2021%2F12%2F08%2F223534\" title=\"\u9023\u7d9a\u51fd\u6570\u96d1\u8a18 - \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>","width":"100%","title":"\u9023\u7d9a\u51fd\u6570\u96d1\u8a18","url":"https://randommemory.hatenablog.com/entry/2021/12/08/223534","description":"twitter \u304b\u3089\u30cd\u30bf\u3092\u62fe\u3063\u305f\u306e\u3067\u3002$f: \\R \\to \\R$ \u306a\u308b\u51fd\u6570\u304c\u3042\u308b\u3068\u3057\u3066\u3001$\\forall x,y \\in \\R$ \u306b\u5bfe\u3057\u3066 $f(x+y) = f(x) + f(y)$ \u304c\u6210\u7acb\u3057\u3001\u304b\u3064\u539f\u70b9\u3067\u9023\u7d9a\u306a\u3089\u5168\u4f53\u3067\u9023\u7d9a\u304b\u3001\u3068\u3002$f(0) = f(0) + f(0)$ \u3088\u308a $f(0) = 0$ \u306a\u306e\u3067\u3001\u4efb\u610f\u306e $x \\in \\R$ \u3068\u5c0f\u3055\u306a\u6570 $\\varepsilon$ \u306b\u5bfe\u3057\u3066\\begin{align*} \\frac{f(x + \\varepsilon) - f(x)}{\\varepsilon} = \\frac{f(\\varepsilon) - f(0)}{\\varepsilon} \u2026"}