翻訳と辞書 Words near each other ・ Line Delimited JSON ・ Line Describing a Cone ・ Line discipline ・ Line doubler ・ Line drawing ・ Line drawing algorithm ・ Line drive ・ Line driver ・ Line E (Buenos Aires Underground) ・ Line echo wave pattern ・ Line editor ・ Line element ・ Line Engaged ・ Line engraving ・ Line F (Buenos Aires Underground) ・ Line field ・ Line filter ・ Line fitting ・ Line Focus Principle ・ Line function ・ Line G (Buenos Aires Underground) ・ Line graph ・ Line graph of a hypergraph ・ Line group ・ Line H (Buenos Aires Underground) ・ Line H7 (Budapest HÉV) ・ Line Haddad ・ Line Hagman ・ Line Halvorsen ・ Line Hamel 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 Line field ： ウィキペディア英語版 Line field In mathematics, a line field on a manifold is a formation of a line being tangent to a manifold at each point, i.e. a section of the line bundle over the manifold. Line fields are of particular interest in the study of complex dynamical systems, where it is conventional to modify the definition slightly. ==Definitions== In general, let ''M'' be a manifold. A line field on ''M'' is a function ''μ'' that assigns to each point ''p'' of ''M'' a line ''μ''(''p'') through the origin in the tangent space T''p''(''M''). Equivalently, one may say that ''μ''(''p'') is an element of the projective tangent space PT''p''(''M''), or that ''μ'' is a section of the projective tangent bundle PT(''M''). In the study of complex dynamical systems, the manifold ''M'' is taken to be a Hersee surface. A line field on a subset ''A'' of ''M'' (where ''A'' is required to have positive two-dimensional Lebesgue measure) is a line field on ''A'' in the general sense above that is defined almost everywhere in ''A'' and is also a measurable function. 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「Line field」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.