翻訳と辞書 Words near each other ・ Distributed Systems Technology Centre ・ Distributed temperature sensing ・ Distributed Training Operations Center ・ Distributed transaction ・ Distributed transient network ・ Distributed transmission system ・ Distributed Universal Number Discovery ・ Distributed version control ・ Distributed web crawling ・ Distributed workforce ・ Distributed-queue dual-bus ・ Distributed.net ・ Distributing artery ・ Distribution ・ Distribution (business) ・ Distribution (differential geometry) ・ Distribution (economics) ・ Distribution (mathematics) ・ Distribution (number theory) ・ Distribution (pharmacology) ・ Distribution 360 ・ Distribution algebra ・ Distribution amplifier ・ Distribution board ・ Distribution center ・ Distribution center management system ・ Distribution constant ・ Distribution deal ・ Distribution ensemble ・ Distribution fitting 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 Distribution (differential geometry) ： ウィキペディア英語版 Distribution (differential geometry) In differential geometry, a discipline within mathematics, a distribution is a subset of the tangent bundle of a manifold satisfying certain properties. Distributions are used to build up notions of integrability, and specifically of a foliation of a manifold. Even though they share the same name, distributions we discuss in this article have nothing to do with distributions in the sense of analysis. ==Definition== Let $M$ be a $C^\backslash infty$ manifold of dimension $m$, and let $n\; \backslash leq\; m$. Suppose that for each $x\; \backslash in\; M$, we assign an $n$-dimensional subspace $\backslash Delta\_x\; \backslash subset\; T\_x(M)$ of the tangent space in such a way that for a neighbourhood $N\_x\; \backslash subset\; M$ of $x$ there exist $n$ linearly independent smooth vector fields $X\_1,\backslash ldots,X\_n$ such that for any point $y\; \backslash in\; N\_x$, $X\_1(y),\backslash ldots,X\_n(y)$ span $\backslash Delta\_y.$ We let $\backslash Delta$ refer to the collection of all the $\backslash Delta\_x$ for all $x\; \backslash in\; M$ and we then call $\backslash Delta$ a ''distribution'' of dimension $n$ on $M$, or sometimes a ''$C^\backslash infty$ $n$-plane distribution'' on $M.$ The set of smooth vector fields $\backslash$ is called a ''local basis'' of $\backslash Delta.$ 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「Distribution (differential geometry)」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.