翻訳と辞書 Words near each other ・ Time Cracks ・ Time Crash ・ Time Crash (band) ・ Time Crashers ・ Time Crisis ・ Time Crisis (series) ・ Time Crisis 3 ・ Time Crisis 4 ・ Time Crisis II ・ Time Cube ・ Time cycles ・ Time Dance ・ Time delay and integration ・ Time delay neural network ・ Time delay toxin activation ・ Time dependent vector field ・ Time deposit ・ Time derivative ・ Time Detectives ・ Time deviation ・ Time dilation ・ Time dilation of moving particles ・ Time discipline ・ Time displacement ・ Time diversity ・ Time division multiple access ・ Time Does Not Heal ・ Time Doesn't Heal ・ Time Doesn't Notice ・ Time domain 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 Time dependent vector field ： ウィキペディア英語版 Time dependent vector field In mathematics, a time dependent vector field is a construction in vector calculus which generalizes the concept of vector fields. It can be thought of as a vector field which moves as time passes. For every instant of time, it associates a vector to every point in a Euclidean space or in a manifold. ==Definition== A time dependent vector field on a manifold ''M'' is a map from an open subset $\backslash Omega\; \backslash subset\; \backslash Bbb\; \backslash times\; M$ on $TM$ :$X:\; \backslash Omega\; \backslash subset\; \backslash Bbb\; \backslash times\; M\; \backslash longrightarrow\; TM$ ::::$(t,x)\; \backslash longmapsto\; X(t,x)=X\_t(x)\; \backslash in\; T\_xM$ such that for every $(t,x)\; \backslash in\; \backslash Omega$, $X\_t(x)$ is an element of $T\_xM$. For every $t\; \backslash in\; \backslash Bbb$ such that the set :$\backslash Omega\_t=\backslash \; \backslash subset\; M$ is nonempty, $X\_t$ is a vector field in the usual sense defined on the open set $\backslash Omega\_t\; \backslash subset\; M$. 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「Time dependent vector field」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.