翻訳と辞書 Words near each other ・ Complex event processing ・ Complex fluid ・ Complex gain ・ Complex geodesic ・ Complex geometry ・ Complex group ・ Complex Hadamard matrix ・ Complex harmonic motion ・ Complex instruction set computing ・ Complex interdependence ・ Complex lamellar vector field ・ Complex Lie group ・ Complex line ・ Complex logarithm ・ Complex manifold ・ Complex measure ・ Complex metal hydride ・ Complex metallic alloys ・ Complex Mexican hat wavelet ・ Complex modulus ・ Complex multiplication ・ Complex multiplier ・ Complex network ・ Complex network zeta function ・ Complex normal distribution ・ Complex number ・ Complex of Goguryeo Tombs ・ Complex of Mehmed I ・ Complex of San Firenze, Florence ・ Complex of Silesian International Schools Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Complex measure ： ウィキペディア英語版 Complex measure In mathematics, specifically measure theory, a complex measure generalizes the concept of measure by letting it have complex values. In other words, one allows for sets whose size (length, area, volume) is a complex number. == Definition == Formally, a ''complex measure'' $\backslash mu$ on a measurable space $(X,\backslash Sigma)$ is a complex-valued function :$\backslash mu:\; \backslash Sigma\; \backslash to\; \backslash mathbb$ that is sigma-additive. In other words, for any sequence $(A\_)\_^\; \backslash mu(A\_)\; =\; \backslash mu\; \backslash left(\; \backslash bigcup\_^\; A\_\; \backslash right)\; \backslash in\; \backslash mathbb.$ As $\backslash displaystyle\; \backslash bigcup\_^\; A\_\; =\; \backslash bigcup\_^\; A\_$ for any permutation $\backslash sigma:\; \backslash mathbb\; \backslash to\; \backslash mathbb$, it follows that $\backslash displaystyle\; \backslash sum\_^\; \backslash mu(A\_)$ converges unconditionally (hence absolutely). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Complex measure」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.