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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 vector operator ： ウィキペディア英語版 vector operator A vector operator is a differential operator used in vector calculus. Vector operators are defined in terms of del, and include the gradient, divergence, and curl: :$\backslash operatorname\; \backslash equiv\; \backslash nabla$ :$\backslash operatorname\; \backslash \; \backslash equiv\; \backslash nabla\; \backslash cdot$ :$\backslash operatorname\; \backslash equiv\; \backslash nabla\; \backslash times$ The Laplacian is :$\backslash nabla^2\; \backslash equiv\; \backslash operatorname\backslash \; \backslash operatorname\; \backslash equiv\; \backslash nabla\; \backslash cdot\; \backslash nabla$ Vector operators must always come right before the scalar field or vector field on which they operate, in order to produce a result. E.g. :$\backslash nabla\; f$ yields the gradient of ''f'', but :$f\; \backslash nabla$ is just another vector operator, which is not operating on anything. A vector operator can operate on another vector operator, to produce a compound vector operator, as seen above in the case of the Laplacian. ==See also== * del * D'Alembertian 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「vector operator」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.