翻訳と辞書 Words near each other ・ Richmond Spiders baseball ・ Richmond Spiders basketball ・ Richmond Spiders football ・ Richmond Spiders football, 1881–89 ・ Richmond Spiders football, 1890–99 ・ Richmond Spiders football, 1900–09 ・ Richmond Spiders football, 1910–19 ・ Richmond Spiders football, 1920–29 ・ Richmond Spiders men's basketball ・ Richmond Stakes ・ Richmond Staples Mill Road (Amtrak station) ・ Richmond Station ・ Richmond Station (California) ・ Richmond Strikers ・ Richmond Strip ・ Richmond surface ・ Richmond Symphony Orchestra ・ Richmond Symphony Youth Orchestra ・ Richmond Synagogue ・ Richmond Temperance and Literary Society Hall ・ Richmond temperate forests ・ Richmond Theatre ・ Richmond Theatre fire ・ Richmond Theological Institute ・ Richmond Times-Dispatch ・ Richmond Tobacco Exchange ・ Richmond Tower (Kilmainham) ・ Richmond Town Hall ・ Richmond Town Hall (New Hampshire) ・ Richmond Town Methodist Church 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 Richmond surface ： ウィキペディア英語版 Richmond surface In differential geometry, a Richmond surface is a minimal surface first described by Herbert William Richmond in 1904. 〔 Jesse Douglas, Tibor Radó, The Problem of Plateau: A Tribute to Jesse Douglas & Tibor Radó, World Scientific, 1992 (p. 239-240)〕 It is a family of surfaces with one planar end and one Enneper surface-like self-intersecting end. It has Weierstrass–Enneper parameterization $f(z)=1/z^m,\; g(z)=z^m$. This allows a parametrization based on a complex parameter as :$\backslash begin$ X(z) &= \Re(- z^/(4m+2) )\\ Y(z) &= \Re(+ i z^/(4m+2) )\\ Z(z) &= \Re(/ n ) \end The associate family of the surface is just the surface rotated around the z-axis. Taking ''m'' = 2 a real parametric expression becomes:〔John Oprea, The Mathematics of Soap Films: Explorations With Maple, American Mathematical Soc., 2000 〕 :$\backslash begin$ X(u,v) &= (1/3)u^3 - uv^2 + \frac\\ Y(u,v) &= -u^2v + (1/3)v^3 - \frac\\ Z(u,v) &= 2u \end == 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「Richmond surface」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.