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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 Bateman transform ： ウィキペディア英語版 Bateman transform In the mathematical study of partial differential equations, the Bateman transform is a method for solving the Laplace equation in four dimensions and wave equation in three by using a line integral of a holomorphic function in three complex variables. It is named after the English mathematician Harry Bateman, who first published the result in . The formula asserts that if ''ƒ'' is a holomorphic function of three complex variables, then :$\backslash phi(w,x,y,z)\; =\; \backslash oint\_\backslash gamma\; f\backslash left((w+ix)+(iy+z)\backslash zeta,(iy-z)+(w-ix)\backslash zeta,\backslash zeta\backslash right)\backslash ,d\backslash zeta$ is a solution of the Laplace equation, which follows by differentiation under the integral. Furthermore, Bateman asserted that the most general solution of the Laplace equation arises in this way. ==References== *. *. 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「Bateman transform」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.