翻訳と辞書 Words near each other ・ Lie Down in Darkness (novel) ・ Lie Down in the Light ・ Lie Down with Lions ・ Lie group ・ Lie group action ・ Lie group decomposition ・ Lie groupoid ・ Lie group–Lie algebra correspondence ・ Lie in Our Graves ・ Lie Kim Hok ・ Lie Lie Lie ・ Lie Lie Live ・ Lie Lover Lie ・ Lie of the Land ・ Lie on file ・ Lie point symmetry ・ Lie product formula ・ Lie sphere ・ Lie sphere geometry ・ Lie superalgebra ・ Lie Tek Swie ・ Lie theory ・ Lie to Me ・ Lie to Me (2011 TV series) ・ Lie to Me (album) ・ Lie to Me (Bon Jovi song) ・ Lie to Me (Buffy the Vampire Slayer) ・ Lie to Me (Cole Plante song) ・ Lie to Me (Denial) ・ Lie to Me (disambiguation) 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 Lie point symmetry ： ウィキペディア英語版 Lie point symmetry Towards the end of the nineteenth century, Sophus Lie introduced the notion of Lie group in order to study the solutions of ordinary differential equations〔〔〔 (ODEs). He showed the following main property: the order of an ordinary differential equation can be reduced by one if it is invariant under one-parameter Lie group of point transformations.〔 This observation unified and extended the available integration techniques. Lie devoted the remainder of his mathematical career to developing these continuous groups that have now an impact on many areas of mathematically based sciences. The applications of Lie groups to differential systems were mainly established by Lie and Emmy Noether, and then advocated by Élie Cartan. Roughly speaking, a Lie point symmetry of a system is a local group of transformations that maps every solution of the system to another solution of the same system. In other words, it maps the solution set of the system to itself. Elementary examples of Lie groups are translations, rotations and scalings. The Lie symmetry theory is a well-known subject. In it are discussed continuous symmetries opposed to, for example, discrete symmetries. The literature for this theory can be found, among other places, in these notes.〔〔〔〔〔 == Overview == 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「Lie point symmetry」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.