{"author_name":"derwind","width":"100%","author_url":"https://blog.hatena.ne.jp/derwind/","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","description":"\u4e00\u65e6\u307e\u3068\u3081\u306e\u3064\u3082\u308a\u3002\u71b1\u65b9\u7a0b\u5f0f\u3092\u7406\u8ad6\u306e\u5074\u9762\u304b\u3089\u773a\u3081\u308b\u3002\u7a7a\u9593\u306e\u6b21\u5143\u3092$d \\ge 1$\u3068\u3057\u3066\u3001\u8003\u3048\u3066\u3044\u308b\u9818\u57df\u3092\u5168\u7a7a\u9593(1\u6b21\u5143\u306e\u5834\u5408\u3067\u306f\u7121\u9650\u306b\u9577\u3044\u68d2)\u3068\u3059\u308b\u3002 \u5168\u7a7a\u9593\u306e\u7406\u8ad6\u3068\u3057\u3066\u306f\u3001\u71b1\u65b9\u7a0b\u5f0f\u3092\u5f62\u5f0f\u7684\u306bFourier\u5909\u63db\u3059\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u308b \\begin{equation} G_t(x) = \\frac{1}{(4\\pi t)^{d/2}} \\exp\\left(- \\frac{|x|^2}{4 t}\\right),\\quad t > 0 \\end{equation}\u3068\u3044\u3046\u5f62\u306e\u57fa\u672c\u89e3(\u7269\u7406\u306e\u9818\u57df\u3067\u306fGreen\u51fd\u6570\u3068\u547c\u3093\u3067\u3044\u308b\u3060\u308d\u3046\u3002\u591a\u5206)\u304c\u5927\u4e8b\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u3002\u3053\u3044\u3064\u306e\u5834\u5408\u306f\u7279\u306b\u71b1\u6838\u3068\u304bGauss\u6838\u3068\u304b\u306e\u540d\u2026","blog_url":"https://randommemory.hatenablog.com/","categories":["math-numerical"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F11%2F17%2F232936\" title=\"\u71b1\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6790(5) - \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>","title":"\u71b1\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6790(5)","published":"2015-11-17 23:29:36","url":"https://randommemory.hatenablog.com/entry/2015/11/17/232936","type":"rich","version":"1.0","height":"190","provider_url":"https://hatena.blog","provider_name":"Hatena Blog","image_url":null}