翻訳と辞書 Words near each other ・ Ultrajapyx ・ Ultraje a Rigor ・ Ultrajectine ・ Ultralase ・ Ultralcis ・ Ultralente ・ Ultralife Corporation ・ Ultralight aircraft (Canada) ・ Ultralight aircraft (United States) ・ Ultralight aviation ・ Ultralight backpacking ・ Ultralight Engineering Astra ・ Ultralight Flight Mirage ・ Ultralight material ・ Ultralight trike ・ Ultralimit ・ Ultralingua ・ Ultralite Soaring Wizard ・ Ultraluminous X-ray source ・ Ultralyd ・ Ultramafic rock ・ Ultramagic ・ Ultramagnetic MCs ・ Ultramajic ・ Ultraman ・ Ultraman (1967 film) ・ Ultraman (1979 film) ・ Ultraman (band) ・ Ultraman (comics) ・ Ultraman (disambiguation) 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 Ultralimit ： ウィキペディア英語版 Ultralimit :''For the direct limit of a sequence of ultrapowers, see Ultraproduct.'' In mathematics, an ultralimit is a geometric construction that assigns to a sequence of metric spaces ''Xn'' a limiting metric space. The notion of an ultralimit captures the limiting behavior of finite configurations in the spaces ''Xn'' and uses an ultrafilter to avoid the process of repeatedly passing to subsequences to ensure convergence. An ultralimit is a generalization of the notion of Gromov-Hausdorff convergence of metric spaces. ==Ultrafilters== Recall that an ultrafilter ''ω'' on the set of natural numbers $\backslash mathbb\; N$ is a finite-additive set function (which can be thought of as a measure) $\backslash omega:2^\backslash to\; \backslash$ from the power set $2^$ (that is, the set of ''all'' subsets of $\backslash mathbb\; N$) to the set such that $\backslash omega(\backslash mathbb\; N)=1$. An ultrafilter ''ω'' on $\backslash mathbb\; N$ is ''non-principal'' if for every finite subset $F\backslash subseteq\; \backslash mathbb\; N$ we have ''ω''(''F'')=0. 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「Ultralimit」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.