翻訳と辞書 Words near each other ・ Global Alliance for Information and Communication Technologies and Development ・ Global Alliance for Peace and Prosperity ・ Global Alliance for Preserving the History of WWII in Asia ・ Global Alliance for Project Performance Standards ・ Global Alliance for Rabies Control ・ Global Alliance in Management Education ・ Global Alliance of Affirming Apostolic Pentecostals ・ Global Alliance of Leading-Edge Schools ・ Global Alliance on Accessible Technologies and Environments ・ Global Alliance on Health and Pollution ・ Global Alliance to Prevent Prematurity and Stillbirth ・ Global Amateur Radio Emergency Communications Conference ・ Global Anabaptist Mennonite Encyclopedia Online ・ Global analysis ・ Global Analyst Research Settlements ・ Global analytic function ・ Global and Planetary Change ・ Global Anglican Future Conference ・ Global anomaly ・ Global Anti-Semitism Review Act of 2004 ・ Global apartheid ・ Global aphasia ・ Global Apollo Programme ・ Global Appraisal of Individual Needs ・ Global Arab Network ・ Global Area Reference System ・ Global Arena ・ Global Arrays ・ Global Art Magazine ・ Global Art Show 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 Global analytic function ： ウィキペディア英語版 Global analytic function In the mathematical field of complex analysis, a global analytic function is a generalization of the notion of an analytic function which allows for functions to have multiple branches. Global analytic functions arise naturally in considering the possible analytic continuations of an analytic function, since analytic continuations may have a non-trivial monodromy. They are one foundation for the theory of Riemann surfaces. ==Definition== The following definition is due to . An analytic function in an open set ''U'' is called a function element. Two function elements (''f''1, ''U''1) and (''f''2, ''U''2) are said to be analytic continuations of one another if ''U''1 ∩ ''U''2 ≠ ∅ and ''f''1 = ''f''2 on this intersection. A chain of analytic continuations is a finite sequence of function elements (''f''1, ''U''1), …, (''f''''n'',''U''''n'') such that each consecutive pair are analytic continuations of one another; i.e., (''f''''i''+1, ''U''''i''+1) is an analytic continuation of (''f''''i'', ''U''''i'') for ''i'' = 1, 2, …, ''n'' − 1. A global analytic function is a family f of function elements such that, for any (''f'',''U'') and (''g'',''V'') belonging to f, there is a chain of analytic continuations in f beginning at (''f'',''U'') and finishing at (''g'',''V''). A complete global analytic function is a global analytic function f which contains every analytic continuation of each of its elements. 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「Global analytic function」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.