翻訳と辞書 Words near each other ・ Quatsino ・ Quatsino First Nation ・ Quatsino Limestone ・ Quasirhabdochaeta ・ Quasisimnia ・ Quasisimnia hirasei ・ Quasisimnia robertsoni ・ Quasisimple group ・ Quasispecies model ・ Quasistatic ・ Quasistatic approximation ・ Quasistatic loading ・ Quasistatic process ・ Quasisymmetric ・ Quasisymmetric function ・ Quasisymmetric map ・ Quasit ・ Quasithin group ・ Quasitopological space ・ Quasitoric manifold ・ Quasitransitive relation ・ Quasitriangular Hopf algebra ・ Quasiturbine ・ Quasivariety ・ Quasquara ・ Quasqueton, Iowa ・ Quassaick Creek ・ Quassar ・ Quassel IRC ・ Quassia 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 Quasisymmetric map ： ウィキペディア英語版 Quasisymmetric map In mathematics, a quasisymmetric homeomorphism between metric spaces is a map that generalizes bi-Lipschitz maps. While bi-Lipschitz maps shrink or expand the diameter of a set by no more than a multiplicative factor, quasisymmetric maps satisfy the weaker geometric property that they preserve the relative sizes of sets: if two sets ''A'' and ''B'' have diameters ''t'' and are no more than distance ''t'' apart, then the ratio of their sizes changes by no more than a multiplicative constant. These maps are also related to quasiconformal maps, since in many circumstances they are in fact equivalent. ==Definition== Let (''X'', ''d''''X'') and (''Y'', ''d''''Y'') be two metric spaces. A homeomorphism ''f'':''X'' → ''Y'' is said to be η-quasisymmetric if there is an increasing function ''η'' : [0, ∞) → [0, ∞) such that for any triple ''x'', ''y'', ''z'' of distinct points in ''X'', we have :$\backslash frac\; \backslash leq\; \backslash eta\backslash left(\backslash frac\backslash right).$ 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「Quasisymmetric map」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.