翻訳と辞書 Words near each other ・ Hadalga ・ Hadali ・ Hadali-Ii ・ Hadama Bathily ・ Hadamar ・ Hadamar Euthanasia Centre ・ Hadamar III of Laber ・ Hadamard (disambiguation) ・ Hadamard code ・ Hadamard manifold ・ Hadamard matrix ・ Hadamard product ・ Hadamard product (matrices) ・ Hadamard regularization ・ Hadamard space ・ Hadamard three-circle theorem ・ Hadamard three-lines theorem ・ Hadamard transform ・ Hadamard's dynamical system ・ Hadamard's inequality ・ Hadamard's lemma ・ Hadamard's maximal determinant problem ・ Hadamard's method of descent ・ Hadamard–Rybczynski equation ・ Hadamczik ・ Hadameh ・ Hadameh-ye Olya ・ Hadameh-ye Vosta ・ Hadan ・ Hadan Holligan 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 Hadamard three-circle theorem ： ウィキペディア英語版 Hadamard three-circle theorem In complex analysis, a branch of mathematics, the Hadamard three-circle theorem is a result about the behavior of holomorphic functions. Let $f(z)$ be a holomorphic function on the annulus :$r\_1\backslash leq\backslash left|\; z\backslash right|\; \backslash leq\; r\_3.$ Let $M(r)$ be the maximum of $|f(z)|$ on the circle $|z|=r.$ Then, $\backslash log\; M(r)$ is a convex function of the logarithm $\backslash log\; (r).$ Moreover, if $f(z)$ is not of the form $cz^\backslash lambda$ for some constants $\backslash lambda$ and $c$, then $\backslash log\; M(r)$ is strictly convex as a function of $\backslash log\; (r).$ The conclusion of the theorem can be restated as :$\backslash log\backslash left(\backslash frac\backslash right)\backslash log\; M(r\_2)\backslash leq$ \log\left(\frac\right)\log M(r_1) +\log\left(\frac\right)\log M(r_3) 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「Hadamard three-circle theorem」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.