翻訳と辞書 Words near each other ・ Total Control ・ Total Control (band) ・ Total Control (John Norum album) ・ Total Control (novel) ・ Total Control (Yo-Yo album) ・ Total Control Racing ・ Total Conversation ・ Total conversion (energy source) ・ Total correlation ・ Total Corruption ・ Total cost ・ Total cost management ・ Total cost of acquisition ・ Total Cost of Consumption ・ Total cost of ownership ・ Total curvature ・ Total Death ・ Total Decay ・ Total Defence (Singapore) ・ Total delivery cost ・ Total Denial ・ Total depravity ・ Total derivative ・ Total Destruction ・ Total Devo ・ Total discography ・ Total dissolved solids ・ Total Distortion ・ Total Divas ・ Total Divas (Season 1) 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 Total curvature ： ウィキペディア英語版 Total curvature In mathematical study of the differential geometry of curves, the total curvature of an immersed plane curve is the integral of curvature along a curve taken with respect to arc length: :$\backslash int\_a^b\; k(s)\backslash ,ds.$ The total curvature of a closed curve is always an integer multiple of 2π, called the index of the curve, or turning number – it is the winding number of the unit tangent vector about the origin, or equivalently the degree of the map to the unit circle assigning to each point of the curve, the unit velocity vector at that point. This map is similar to the Gauss map for surfaces. ==Comparison to surfaces== This relationship between a local geometric invariant, the curvature, and a global topological invariant, the index, is characteristic of results in higher-dimensional Riemannian geometry such as the Gauss–Bonnet theorem. 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「Total curvature」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.