翻訳と辞書 Words near each other ・ Del Monte Center ・ Del Monte Foods ・ Dekpo ・ Dekra ・ Deksyty ・ Deksznie ・ Dektor Counterintelligence and Security ・ Dektur ・ Dekulakization ・ Dekum Building ・ Dekutince ・ DeKuyper ・ Dekwaneh ・ Dekýš ・ Dekšāres parish ・ Del ・ Del (command) ・ Del (disambiguation) ・ Del Aire, California ・ Del altar a la tumba ・ Del Amitri ・ Del Amitri (album) ・ Del Amitri discography ・ Del Amo (Los Angeles Metro station) ・ Del Amo (Superfund site) ・ Del Amo Fashion Center ・ Del Anderson ・ Del Andrews ・ Del Ankers ・ Del Arno Band 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 Del ： ウィキペディア英語版 Del Del, or nabla, is an operator used in mathematics, in particular, in vector calculus, as a vector differential operator, usually represented by the nabla symbol ∇. When applied to a function defined on a one-dimensional domain, it denotes its standard derivative as defined in calculus. When applied to a field (a function defined on a multi-dimensional domain), del may denote the gradient (locally steepest slope) of a scalar field (or sometimes of a vector field, as in the Navier–Stokes equations), the divergence of a vector field, or the curl (rotation) of a vector field, depending on the way it is applied. Strictly speaking, del is not a specific operator, but rather a convenient mathematical notation for those three operators, that makes many equations easier to write and remember. The del symbol can be interpreted as a vector of partial derivative operators, and its three possible meanings—gradient, divergence, and curl—can be formally viewed as the product with a scalar, dot product, and cross product, respectively, of the del "operator" with the field. These formal products do not necessarily commute with other operators or products. ==Definition== In the Cartesian coordinate system R with coordinates $(x\_1,\; \backslash dots,\; x\_n)$ and standard basis $\backslash$, del is defined in terms of partial derivative operators as :$\backslash nabla\; =\; \backslash left(\; ,\; \backslash cdots,\; \backslash right)\; =\; \backslash sum\_^n\; \backslash vec\; e\_i$ In three-dimensional Cartesian coordinate system R3 with coordinates $(x,\; y,\; z)$ and standard basis $\backslash$, del is written as :$\backslash nabla\; =\; \backslash left(\; ,\; ,\; \backslash right)\; =\; \backslash vec\; e\_x\; +\; \backslash vec\; e\_y\; +\; \backslash vec\; e\_z$ Del can also be expressed in other coordinate systems, see for example del in cylindrical and spherical coordinates. 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「Del」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.