{"provider_url":"https://hatena.blog","width":"100%","provider_name":"Hatena Blog","title":"\u65e2\u7d04\u591a\u9805\u5f0f","version":"1.0","blog_url":"https://randommemory.hatenablog.com/","categories":["math-alg"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F12%2F05%2F225328\" title=\"\u65e2\u7d04\u591a\u9805\u5f0f - \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>","height":"190","image_url":null,"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","description":"\u4e0d\u52c9\u5f37\u3067\u3042\u307e\u308a\u7406\u89e3\u3067\u304d\u3066\u3044\u306a\u3044Galois\u7406\u8ad6\u306e\u8b1b\u7fa9(\u306e\u30d3\u30c7\u30aa)\u306a\u3069\u3092\u898b\u3066\u307f\u308b\u3002 \u591a\u9805\u5f0f\u304c\u65e2\u7d04(irreducible)\u3068\u3044\u3046\u306e\u306f\u3001\u305d\u308c\u4ee5\u4e0a\u56e0\u5b50\u5206\u89e3\u3067\u304d\u306a\u3044\u72b6\u614b\u3092\u6307\u3057\u3066\u3044\u308b\u306f\u305a\u3060\u3051\u3069\u3001\u4fc2\u6570\u4f53\u3068\u3057\u3066\u4f55\u3092\u8003\u3048\u308b\u304b\u3067\u5909\u308f\u3063\u3066\u304f\u308b\u3002 \u6574\u6570\u4fc2\u6570\u306e\u591a\u9805\u5f0f$X^4 + 1$\u306f\u4fc2\u6570\u3092\u5b9f\u6570\u4f53\u3068\u3059\u308b\u5834\u5408\u306b\u306f\u65e2\u7d04\u3060\u3002\u8907\u7d20\u6570\u4f53\u3067\u56e0\u5b50\u5206\u89e3\u3057\u3066\u307f\u308b\u3068\u3001$\\omega = (\\sqrt{-1})^{1/2} = \\cos(\\frac{\\pi}{4}) + \\sqrt{-1}\\sin(\\frac{\\pi}{4})$\u3068\u3057\u3066\u3001 \\begin{align} X^4 + 1 = (X^2)^2 - (\\sqrt{-1})^2 &= \u2026","published":"2015-12-05 22:53:28","url":"https://randommemory.hatenablog.com/entry/2015/12/05/225328","type":"rich","author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind"}