{"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2020%2F10%2F31%2F220659\" title=\"Laplace-Beltrami\u4f5c\u7528\u7d20 - \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>","type":"rich","image_url":null,"blog_url":"https://randommemory.hatenablog.com/","author_name":"derwind","author_url":"https://blog.hatena.ne.jp/derwind/","description":"3 \u6b21\u5143 Laplace \u4f5c\u7528\u7d20 $\\Delta = \\sum_{i=1}^3 \\frac{\\del^2}{\\del (x^i)^2}$ \u3092\u6975\u5ea7\u6a19 $(r, \\theta, \\phi)$ \u306b\u5909\u63db\u3059\u308b\u3068 \\begin{align} \\begin{split} \\Delta &= \\frac{\\del^2}{\\del r^2} + \\frac{2}{r}\\frac{\\del}{\\del r} + \\frac{1}{r^2} \\Lambda \\\\ \\Lambda &= \\frac{1}{\\sin \\theta} \\frac{\\del }{\\del \\theta} \\left( \\sin \\theta\u2026","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"Laplace-Beltrami\u4f5c\u7528\u7d20","url":"https://randommemory.hatenablog.com/entry/2020/10/31/220659","provider_url":"https://hatena.blog","categories":["math-pde","math-geometry"],"published":"2020-10-31 22:06:59","provider_name":"Hatena Blog","height":"190","version":"1.0","width":"100%"}