翻訳と辞書 Words near each other ・ Degredado ・ Degree ・ Degree (angle) ・ Degree (graph theory) ・ Degree (music) ・ Degree (temperature) ・ Degree Angular Scale Interferometer ・ Degree Colleges in Kashmir ・ Degree completion program ・ Degree Confluence Project ・ Degree day ・ Degree diameter problem ・ Degree distribution ・ Degree Lintner ・ Degree matrix ・ Degree of a continuous mapping ・ Degree of a field extension ・ Degree of a polynomial ・ Degree of an algebraic variety ・ Degree of anonymity ・ Degree of coherence ・ Degree of curvature ・ Degree of frost ・ Degree of Honor Protective Association ・ Degree of ionization ・ Degree of isochronous distortion ・ Degree of parallelism ・ Degree of Pocahontas ・ Degree of polarization ・ Degree of polymerization 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 Degree of a continuous mapping ： ウィキペディア英語版 Degree of a continuous mapping In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping. The degree is always an integer, but may be positive or negative depending on the orientations. The degree of a map was first defined by Brouwer, who showed that the degree is homotopy invariant (invariant among homotopies), and used it to prove the Brouwer fixed point theorem. In modern mathematics, the degree of a map plays an important role in topology and geometry. In physics, the degree of a continuous map (for instance a map from space to some order parameter set) is one example of a topological quantum number. ==Definitions of the degree== 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「Degree of a continuous mapping」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.