翻訳と辞書 Words near each other ・ Weyher in der Pfalz ・ Weyhill ・ Weyhill Preparatory School ・ Weyhill railway station ・ WEYI-TV ・ Weyib River ・ Weyinmi Efejuku ・ Weyl (crater) ・ Weyl algebra ・ Weyl character formula ・ Weyl curvature hypothesis ・ Weyl distance function ・ Weyl equation ・ Weyl group ・ Weyl integral ・ Weyl law ・ Weyl metrics ・ Weyl module ・ Weyl scalar ・ Weyl semimetal ・ Weyl tensor ・ Weyl transformation ・ Weyl's inequality ・ Weyl's lemma (Laplace equation) ・ Weyl's postulate ・ Weyl's theorem ・ Weyl's theorem on complete reducibility ・ Weyl's tile argument ・ Weylan Harding ・ Weyland 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 Weyl law ： ウィキペディア英語版 Weyl law In mathematics, especially spectral theory, Weyl's law describes the asymptotic behavior of eigenvalues of the Laplace–Beltrami operator. This description was discovered in 1911 by Hermann Weyl for eigenvalues for the Laplace–Beltrami operator acting on functions that vanish at the boundary of a bounded domain $\backslash Omega\; \backslash subset\; \backslash mathbb^d$. In particular, he proved that the number, $N(x)$, of Dirichlet eigenvalues (counting their multiplicities) less than or equal to $x$ satisfies :$$ \lim_ \frac \omega_d \mathrm(\Omega) where $\backslash omega\_d$ is a volume of the unit ball in $\backslash mathbb^d$. In 1912 he provided a new proof based on variational methods.〔For a proof in English, see See chapter 11.〕 ==Improved remainder estimate== The remainder estimate above $o(\backslash lambda^)$ has been improved by many authors up to $O(\backslash lambda^)$ and even to two-term asymptotics with the remainder estimate $o(\backslash lambda^)$ (Weyl conjecture), or even marginally better. 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「Weyl law」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.