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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Coordinate-induced basis ： ウィキペディア英語版 Coordinate-induced basis In mathematics, a coordinate-induced basis is a basis for the tangent space or cotangent space of a manifold that is induced by a certain coordinate system. Given the coordinate system $x^a$, the coordinate-induced basis $e\_a$ of the tangent space is given by : $e\_a\; =\; \backslash frac$ and the dual basis $\backslash omega^a$ of the cotangent space is : $\backslash omega^a=dx^a.\; \backslash ,$ ==References== *D.J. Hurley, M.A. Vandyck ''Topics in Differential Geometry: a New Approach Using D-Differentiation'' (2002 Springer) p. 5 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「Coordinate-induced basis」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.