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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 Bôcher's theorem ： ウィキペディア英語版 Bôcher's theorem In mathematics, Bôcher's theorem is either of two theorems named after the American mathematician Maxime Bôcher. ==Bôcher's theorem in complex analysis== In complex analysis, the theorem states that the finite zeros of the derivative $r\text{'}(z)$ of a nonconstant rational function $r(z)$ that are not multiple zeros are also the positions of equilibrium in the field of force due to particles of positive mass at the zeros of $r(z)$ and particles of negative mass at the poles of $r(z)$, with masses numerically equal to the respective multiplicities, where each particle repels with a force equal to the mass times the inverse distance. Furthermore, if ''C''1 and ''C''2 are two disjoint circular regions which contain respectively all the zeros and all the poles of $r(z)$, then ''C''1 and ''C''2 also contain all the critical points of $r(z)$. 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「Bôcher's 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.