翻訳と辞書 Words near each other ・ Leges palatinae ・ Leges provinciae ・ Leges regiae ・ Legendary Whitetails ・ Legendary Wings ・ Legendary Witches ・ Legende ・ Legende sau basmele românilor ・ Legendele Olimpului ・ Legenden om Ljusets rike ・ LegendMUD ・ Legendo ・ Legendre ・ Legendre (crater) ・ Legendre chi function ・ Legendre form ・ Legendre function ・ Legendre polynomials ・ Legendre pseudospectral method ・ Legendre rational functions ・ Legendre relation ・ Legendre sieve ・ Legendre symbol ・ Legendre transformation ・ Legendre wavelet ・ Legendre's conjecture ・ Legendre's constant ・ Legendre's equation ・ Legendre's formula ・ Legendre's theorem on spherical triangles 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 Legendre form ： ウィキペディア英語版 Legendre form In mathematics, the Legendre forms of elliptic integrals are a canonical set of three elliptic integrals to which all others may be reduced. Legendre chose the name ''elliptic integrals'' because〔 〕 the second kind gives the arc length of an ellipse of unit semi-minor axis and eccentricity $\backslash scriptstyle$ (the ellipse being defined parametrically by $\backslash scriptstyle$, $\backslash scriptstyle$). In modern times the Legendre forms have largely been supplanted by an alternative canonical set, the Carlson symmetric forms. A more detailed treatment of the Legendre forms is given in the main article on elliptic integrals. == Definition == The incomplete elliptic integral of the first kind is defined as, :$F(\backslash phi,k)\; =\; \backslash int\_0^\backslash phi\; \backslash frac\backslash ,dt,$ and the third kind as :$\backslash Pi(\backslash phi,n,k)\; =\; \backslash int\_0^\backslash phi\; \backslash frac$ of Numerical Recipes.〔 The respective complete elliptic integrals are obtained by setting the amplitude, $\backslash scriptstyle$, the upper limit of the integrals, to $\backslash scriptstyle$. The Legendre form of an elliptic curve is given by :$y^2\; =\; x(x\; -\; 1)(x\; -\; \backslash lambda)$ 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「Legendre form」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.