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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 Complex lamellar vector field ： ウィキペディア英語版 Complex lamellar vector field In vector calculus, a complex lamellar vector field is a vector field in three dimensions which is orthogonal to its own curl. That is, :$\backslash mathbf\backslash cdot\; (\backslash nabla\backslash times\; \backslash mathbf)\; =\; 0.$ Complex lamellar vector fields are precisely those that are normal to a family of surfaces. A special case are irrotational vector fields, satisfying :$\backslash nabla\backslash times\backslash mathbf=\backslash mathbf.$ An irrotational vector field is locally the gradient of a function, and is therefore orthogonal to the family of level surfaces (the equipotential surfaces). Accordingly, the term lamellar vector field is sometimes used as a synonym for an irrotational vector field. The adjective "lamellar" derives from the noun "lamella", which means a thin layer. The ''lamellae'' to which "lamellar flow" refers are the surfaces of constant potential, or in the complex case, the surfaces orthogonal to the vector field. ==See also== * Beltrami vector field * Conservative vector field 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「Complex lamellar vector field」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.