{"author_name":"DOSEI","height":"190","provider_url":"https://hatena.blog","version":"1.0","published":"2012-06-22 00:00:00","provider_name":"Hatena Blog","blog_url":"https://dosei.hatenadiary.jp/","url":"https://dosei.hatenadiary.jp/entry/20120622/p1","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fdosei.hatenadiary.jp%2Fentry%2F20120622%2Fp1\" title=\" \u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u4e0a\u306e\u52fe\u914d\u306e\u5b9a\u7fa9 - DOSEI\u306e\u65e5\u8a18\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","width":"100%","description":"\u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u4e0a\u3067\u5b9a\u7fa9\u3055\u308c\u308b grad f \u306e\u52d5\u6a5f\u304c\u3088\u304f\u308f\u304b\u3089\u306a\u304b\u3063\u305f\u306e\u3067\u3044\u308d\u3044\u308d\u8abf\u3079\u305f\u3089\u3001\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3067\u8aac\u660e\u3055\u308c\u3066\u3044\u305f\u306e\u3067\u3001\u81ea\u5206\u306a\u308a\u306b\u307e\u3068\u3081\u305f\u3002 Div, grad, and all that\u2014on a Riemannian manifold | Climbing Mount Bourbaki \u5b9a\u7fa9 \u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53 (M, g) \u4e0a\u306e\u95a2\u6570 f : M\u2192\u211d \u306b\u5bfe\u3057\u3066, \u52fe\u914d grad f \u306f\u3001\u4efb\u610f\u306e\u70b9 p\u2208M, v\u2208TpM \u306b\u5bfe\u3057\u3066\u2329(grad f)p, v\u232ap = vfp\u3092\u6e80\u305f\u3059\u3082\u306e\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3002\u3053\u3053\u3067\u3001 \u2329\u2022,\u2022\u232a \u306f g \u304c\u5b9a\u3081\u308b\u5185\u7a4d\u3067\u3001 vf \u306f v \u65b9\u5411\u306e\u65b9\u5411\u5fae\u5206\u3002 \u5199\u50cf\u3068\u3057\u3066\u306f\u3001 \u2026","author_url":"https://blog.hatena.ne.jp/DOSEI/","image_url":null,"blog_title":"DOSEI\u306e\u65e5\u8a18","title":" \u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u4e0a\u306e\u52fe\u914d\u306e\u5b9a\u7fa9","type":"rich","categories":["\u30e1\u30e2","\u6570\u5b66"]}