{"published":"2013-12-24 13:26:13","height":"190","title":"Cauchy-Riemann \u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6975\u5ea7\u6a19\u8868\u793a","width":"100%","author_url":"https://blog.hatena.ne.jp/kagamiz/","blog_url":"https://kagamiz.hatenablog.com/","categories":["\u5fae\u7a4d\u5206","\u6570\u5b66"],"url":"https://kagamiz.hatenablog.com/entry/2013/12/24/132613","description":"(1) $z=re^{i\\theta}=r(\\cos\\theta+i\\sin\\theta)$\u3068\u3057\u305f\u3068\u304d, Cauchy-Riemann \u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f, \u5b9f\u90e8\u3092$u(r,\\ \\theta)$, \u865a\u90e8\u3092$v(r, \\theta)$ \u3068\u3059\u308b\u3068 $\\dfrac{\\partial u}{\\partial r} = \\dfrac{1}{r}\\dfrac{\\partial v}{\\partial \\theta},\\ \\dfrac{\\partial v}{\\partial r} = -\\dfrac{1}{r}\\dfrac{\\partial u}{\\partial \\theta}\\ (r \\neq 0)$\u3068\u306a\u2026","provider_name":"Hatena Blog","blog_title":"Lilliput Steps","version":"1.0","provider_url":"https://hatena.blog","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fkagamiz.hatenablog.com%2Fentry%2F2013%2F12%2F24%2F132613\" title=\"Cauchy-Riemann \u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6975\u5ea7\u6a19\u8868\u793a - Lilliput Steps\" 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":"kagamiz","type":"rich"}