翻訳と辞書 Words near each other ・ One-drop rule ・ One-e-App ・ One-electron reduction ・ One-electron universe ・ One-Eye, Two-Eyes, and Three-Eyes ・ One-Eyed Doll ・ One-Eyed Jack (album) ・ One-eyed jack (disambiguation) ・ One-Eyed Jacks ・ One-Eyed Men Are Kings ・ One-Eyed Monster ・ One-eyed monster ・ One-factor-at-a-time method ・ One-Fang ・ One-for-one checking ・ One-form ・ One-game playoff ・ One-Hand Clapping ・ One-Handed Solitaire ・ One-hit wonder ・ One-Hit Wonders (VH1 TV series) ・ One-hitter ・ One-horse shay ・ One-hot ・ One-inch punch ・ One-key MAC ・ One-light ・ One-line diagram ・ One-line joke ・ One-Line Sky 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 One-form ： ウィキペディア英語版 One-form In linear algebra, a one-form on a vector space is the same as a linear functional on the space. The usage of ''one-form'' in this context usually distinguishes the one-forms from higher-degree multilinear functionals on the space. For details, see linear functional. In differential geometry, a one-form on a differentiable manifold is a smooth section of the cotangent bundle. Equivalently, a one-form on a manifold ''M'' is a smooth mapping of the total space of the tangent bundle of ''M'' to $\backslash mathbb$ whose restriction to each fibre is a linear functional on the tangent space. Symbolically, :$\backslash alpha\; :\; TM\; \backslash rightarrow\; :\; T\_xM\backslash rightarrow\; \{\backslash mathbb\{R\}\}$ where αx is linear. Often one-forms are described locally, particularly in local coordinates. In a local coordinate system, a one-form is a linear combination of the differentials of the coordinates: :$\backslash alpha\_x\; =\; f\_1(x)\; \backslash ,\; dx\_1\; +\; f\_2(x)\; \backslash ,\; dx\_2+\; \backslash cdots\; +f\_n(x)\; \backslash ,\; dx\_n$ where the ''f''''i'' are smooth functions. From this perspective, a one-form has a covariant transformation law on passing from one coordinate system to another. Thus a one-form is an order 1 covariant tensor field. ==Examples== 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「One-form」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.