翻訳と辞書 Words near each other ・ Diff'rent Strokes ・ Diff's Lucky Day ・ Diff-Quik ・ Diff-Text ・ Diff3 ・ Diffa ・ Diffa Airport ・ Diffa Arabs ・ Diffa Department ・ Diffa Region ・ Diffarreation ・ Diffbot ・ Diffembach-lès-Hellimer ・ DiffEngineX ・ Diffeology ・ Diffeomorphism ・ Diffeomorphism constraint ・ Differ Ariake Arena ・ Differ Cup ・ Differdange ・ Differdange Castle ・ Differdange communal council ・ Differdange railway station ・ Differdange-Losch ・ Difference ・ Difference (album) ・ Difference (philosophy) ・ Difference algebra ・ Difference and Repetition ・ Difference density map 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 Diffeomorphism ： ウィキペディア英語版 Diffeomorphism In mathematics, a diffeomorphism is an isomorphism of smooth manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are smooth. == Definition == Given two manifolds ''M'' and ''N'', a differentiable map ''f'' : ''M'' → ''N'' is called a diffeomorphism if it is a bijection and its inverse ''f''−1 : ''N'' → ''M'' is differentiable as well. If these functions are ''r'' times continuously differentiable, ''f'' is called a ''Cr''-diffeomorphism. Two manifolds ''M'' and ''N'' are diffeomorphic (symbol usually being ≃) if there is a diffeomorphism ''f'' from ''M'' to ''N''. They are ''Cr'' diffeomorphic if there is an ''r'' times continuously differentiable bijective map between them whose inverse is also ''r'' times continuously differentiable. 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「Diffeomorphism」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.