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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Radó's theorem (harmonic functions) ： ウィキペディア英語版 Radó's theorem (harmonic functions) : ''See also Rado's theorem (Ramsey theory)'' In mathematics, Radó's theorem is a result about harmonic functions, named after Tibor Radó. Informally, it says that any "nice looking" shape without holes can be smoothly deformed into a disk. Suppose Ω is an open, connected and convex subset of the Euclidean space R2 with smooth boundary ∂Ω and suppose that D is the unit disk. Then, given any homeomorphism μ : ∂ D → ∂ Ω, there exists a unique harmonic function ''u'' : D → Ω such that ''u'' = μ on ∂D and ''u'' is a diffeomorphism. ==References== * R. Schoen, S. T. Yau. (1997) Lectures on Harmonic Maps. International Press, Inc., Boston, Massachusetts. ISBN 1-57146-002-0. 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「Radó's theorem (harmonic functions)」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.