翻訳と辞書 Words near each other ・ LaGrange, New York ・ LaGrange, Ohio ・ Lagrange, Territoire de Belfort ・ Lagrange, Virginia ・ Lagrangian ・ Lagrangian (field theory) ・ Lagrangian analysis ・ Lagrangian and Eulerian specification of the flow field ・ Lagrangian coherent structure ・ Lagrangian foliation ・ Lagrangian Grassmannian ・ Lagrangian mechanics ・ Lagrangian particle tracking ・ Lagrangian point ・ Lagrangian relaxation ・ Lagrangian system ・ Lagrangian–Eulerian advection ・ Lagrasse ・ Lagrasse Abbey ・ Lagraulet ・ Lagraulet-du-Gers ・ Lagraulet-Saint-Nicolas ・ Lagraulière ・ Lagrave ・ LaGrave Field ・ Lagrein ・ Lagrelius Point ・ Lagria ・ Lagria cuprina ・ Lagria hirta 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 Lagrangian system ： ウィキペディア英語版 Lagrangian system In mathematics, a Lagrangian system is a pair , consisting of a smooth fiber bundle and a Lagrangian density , which yields the Euler–Lagrange differential operator acting on sections of . In classical mechanics, many dynamical systems are Lagrangian systems. The configuration space of such a Lagrangian system is a fiber bundle over the time axis . In particular, if a reference frame is fixed. In classical field theory, all field systems are the Lagrangian ones. == Lagrangians and Euler–Lagrange operators == A Lagrangian density (or, simply, a Lagrangian) of order is defined as an , , on the -order jet manifold of . A Lagrangian can be introduced as an element of the variational bicomplex of the differential graded algebra of exterior forms on jet manifolds of . The coboundary operator of this bicomplex contains the variational operator which, acting on , defines the associated Euler–Lagrange operator . 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「Lagrangian system」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.