Queries, comments, suggestions? Please contact us.



Area Mathematics - General concepts and linear algebra / Scalar and vector fields

IEV ref102-05-27

en
Laplacian operator
Laplacian
symbolic notation expressed formally as a scalar, operating at each point of a given space region on scalars or vectors, and which, in orthonormal Cartesian coordinates, is represented by

Δ= 2 x 2 + 2 y 2 + 2 z 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=r5aejabg2 da9maalaaabaGaeyOaIy7aaWbaaSqabeaacaaIYaaaaaGcbaGaeyOa IyRaaGjcVlaadIhadaahaaWcbeqaaiaaikdaaaaaaOGaey4kaSYaaS aaaeaacqGHciITdaahaaWcbeqaaiaaikdaaaaakeaacqGHciITcaaM i8UaamyEamaaCaaaleqabaGaaGOmaaaaaaGccqGHRaWkdaWcaaqaai abgkGi2oaaCaaaleqabaGaaGOmaaaaaOqaaiabgkGi2kaayIW7caWG 6bWaaWbaaSqabeaacaaIYaaaaaaaaaa@52EB@

Note 1 to entry: The Laplacian operator is denoted by Δ, ∇ 2 or ∇⋅∇.


fr
opérateur laplacien, m
laplacien, m
notation symbolique exprimée formellement comme un scalaire, s'appliquant en tout point d'un domaine déterminé de l'espace à des scalaires ou à des vecteurs, et qui, en coordonnées cartésiennes orthonormées, est représentée par

Δ= 2 x 2 + 2 y 2 + 2 z 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=r5aejabg2 da9maalaaabaGaeyOaIy7aaWbaaSqabeaacaaIYaaaaaGcbaGaeyOa IyRaaGjcVlaadIhadaahaaWcbeqaaiaaikdaaaaaaOGaey4kaSYaaS aaaeaacqGHciITdaahaaWcbeqaaiaaikdaaaaakeaacqGHciITcaaM i8UaamyEamaaCaaaleqabaGaaGOmaaaaaaGccqGHRaWkdaWcaaqaai abgkGi2oaaCaaaleqabaGaaGOmaaaaaOqaaiabgkGi2kaayIW7caWG 6bWaaWbaaSqabeaacaaIYaaaaaaaaaa@52EB@

Note 1 à l'article: L'opérateur laplacien est noté Δ, ∇ 2 ou ∇⋅∇.


de
Laplace-Operator, m

es
operador laplaciana
laplaciana

ja
ラプラス演算子
ラプラシアン

pl
laplasjan
operator Laplace’a

pt
operador laplaciano
laplaciano

sr
Лапласов оператор, м јд
лапласијан, м јд

sv
Laplaceoperator

zh
拉普拉斯算子

Publication date: 2008-08
Copyright © IEC 2017. All Rights Reserved.