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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 Lebesgue spine ： ウィキペディア英語版 Lebesgue spine In mathematics, in the area of potential theory, a Lebesgue spine or Lebesgue thorn is a type of set used for discussing solutions to the Dirichlet problem and related problems of potential theory. The Lebesgue spine was introduced in 1912 by Henri Lebesgue to demonstrate that the Dirichlet problem does not always have a solution, particularly when the boundary has a sufficiently sharp edge protruding into the interior of the region. == Definition == A typical Lebesgue spine in $\backslash R^n$, for $n\backslash ge\; 3,$ is defined as follows :$S\; =\; \backslash .$ The important features of this set are that it is connected and path-connected in the euclidean topology in $\backslash R^n$ and the origin is a limit point of the set, and yet the set is thin at the origin, as defined in the article Fine topology (potential theory). 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「Lebesgue spine」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.