{"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2019%2F12%2F06%2F000848\" title=\"2\u6b21\u30d9\u30b8\u30a7\u66f2\u7dda\u3068\u653e\u7269\u7dda - \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>","author_name":"derwind","blog_url":"https://randommemory.hatenablog.com/","image_url":null,"type":"rich","categories":["math-bezier"],"provider_url":"https://hatena.blog","url":"https://randommemory.hatenablog.com/entry/2019/12/06/000848","title":"2\u6b21\u30d9\u30b8\u30a7\u66f2\u7dda\u3068\u653e\u7269\u7dda","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","description":"$P_0=(-1,1)$, $P_1=(0,0)$, $P_2=(1,1)$ \u3067\u69cb\u6210\u3055\u308c\u308b2\u6b21\u30d9\u30b8\u30a7\u66f2\u7dda\u304c\u653e\u7269\u7dda\u306b\u306a\u308b\u3053\u3068\u3092\u898b\u308b\u3002 \\begin{align} S(t) = (x(t),y(t)) = (1-t)^2 P_0 + 2(1-t)t P_1 + t^2 P_2 = (-1+2t,1-2t+2t^2) \\end{align}\u3092\u66f2\u7dda\u3068\u3059\u308b\u3068\u3001\u3053\u308c\u306f $y$ \u8ef8\u306b\u3064\u3044\u3066\u5bfe\u8c61\u3067\u3042\u308a\u3001 $S(1/2) = 1/2$ \u306b\u3066 $y$ \u8ef8\u65b9\u5411\u306b\u6700\u5c0f\u5024\u3092\u3068\u308b\u3002 \u653e\u7269\u7dda\u306b\u306a\u308b\u3068\u3057\u305f\u5834\u5408\u3001\u5bfe\u79f0\u6027\u304b\u3089\u7126\u70b9\u306e\u5ea7\u6a19\u3092 $(0,1/2+p)$ \u3001\u6e96\u7dda\u3092 $y = 1/2-p$ \u3068\u3057\u3066 $p$ \u306e\u5024\u3092\u6c42\u3081\u308b\u3002 $\u2026","author_url":"https://blog.hatena.ne.jp/derwind/","version":"1.0","width":"100%","height":"190","provider_name":"Hatena Blog","published":"2019-12-06 00:08:48"}