{"title":"\u3010Lebesgue\u7a4d\u5206\u3011\u512a\u53ce\u675f\u5b9a\u7406\uff08lim\u3068\u7a4d\u5206\u306e\u9806\u5e8f\u4ea4\u63db\uff09","provider_name":"Hatena Blog","categories":["\u6570\u5b66","\u6570\u5b66-\u89e3\u6790\u5b66"],"author_url":"https://blog.hatena.ne.jp/IsThisAPen/","description":"POINT \u512a\u53ce\u675f\u5b9a\u7406\uff08lim\u3068\u7a4d\u5206\u306e\u9806\u5e8f\u4ea4\u63db\uff09\u3068\u5fdc\u7528\u4f8b\u306e\u89e3\u8aac\uff0e \u512a\u53ce\u675f\u5b9a\u7406\u3068\u305d\u306e\u9069\u7528\u4f8b\u3092\u7d39\u4ecb\u3057\u307e\u3059\uff0e\u5fae\u5206\u30fb\u7a4d\u5206\u306e\u9806\u5e8f\u4ea4\u63db\u306b\u3064\u3044\u3066\u306f\uff0c\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3092\u53c2\u7167\u3057\u3066\u4e0b\u3055\u3044\uff1a \u3010Lebesgue\u7a4d\u5206\u3011\u5fae\u7a4d\u5206\u306e\u9806\u5e8f\u4ea4\u63db - Notes_JP \u512a\u53ce\u675f\u5b9a\u7406 \u4f8b \u53c2\u8003\u6587\u732e \u512a\u53ce\u675f\u5b9a\u7406\u512a\u53ce\u675f\u5b9a\u7406 (Dominated convergence theorem)$(X,\\mathfrak{M},\\mu)$\u3092\u53ef\u6e2c\u7a7a\u9593\u3068\u3059\u308b\uff0e $X$\u4e0a\u306e\u8907\u7d20\u53ef\u6e2c\u95a2\u6570\u5217$\\{f_n\\}$\u304c$f$\u306b\u5404\u70b9\u53ce\u675f\u3059\u308b\uff08i.e. $\\displaystyle f(x)=\\lim_{n\\to\\infty}f_n(x)\\quad\\forall x\\in \u2026","type":"rich","url":"https://www.mynote-jp.com/entry/2015/11/14/110749","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fwww.mynote-jp.com%2Fentry%2F2015%2F11%2F14%2F110749\" title=\"\u3010Lebesgue\u7a4d\u5206\u3011\u512a\u53ce\u675f\u5b9a\u7406\uff08lim\u3068\u7a4d\u5206\u306e\u9806\u5e8f\u4ea4\u63db\uff09 - Notes_JP\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","version":"1.0","published":"2015-11-14 11:07:49","image_url":"https://cdn.blog.st-hatena.com/images/theme/og-image-1500.png","blog_url":"https://www.mynote-jp.com/","author_name":"IsThisAPen","provider_url":"https://hatena.blog","height":"190","width":"100%","blog_title":"Notes_JP"}