翻訳と辞書 Words near each other ・ Smooth Radio (2010) ・ Smooth Radio presenter history ・ Smooth Rock Falls ・ Smooth rocksnail ・ Smooth Sailin' ・ Smooth Sailin' (song) ・ Smooth Sailing ・ Smooth Sailing (disambiguation) ・ Smooth Sax Tribute to Earth, Wind and Fire ・ Smooth scheme ・ Smooth shore crab ・ Smooth skate ・ Smooth snake ・ Smooth softshell turtle ・ Smooth soul ・ Smooth structure ・ Smooth Talk ・ Smooth Talk (album) ・ Smooth Talker ・ Smooth toadfish ・ Smooth toadlet ・ Smooth topology ・ Smooth Touch ・ Smooth trunkfish ・ Smooth vector ・ Smooth Velvet, Raw Silk ・ Smooth Wales ・ Smooth West Midlands ・ Smooth-backed frog ・ Smooth-billed ani 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 Smooth structure ： ウィキペディア英語版 Smooth structure In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows one to perform mathematical analysis on the manifold. ==Definition== A smooth structure on a manifold ''M'' is a collection of smoothly equivalent smooth atlases. Here, a smooth atlas for a topological manifold ''M'' is an atlas for ''M'' such that each transition function is a smooth map, and two smooth atlases for ''M'' are smoothly equivalent provided their union is again a smooth atlas for ''M''. This gives a natural equivalence relation on the set of smooth atlases. A smooth manifold is a topological manifold ''M'' together with a smooth structure on ''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「Smooth structure」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.