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

IEV ref102-05-18

Symbol

en
nabla operator
nabla
symbolic notation expressed formally as a vector, used to denote scalar or vector differential operators operating at each point of a given space region on scalars or vectors, and which, in orthonormal Cartesian coordinates, is represented by

= e x x + e y y + e z z MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGWabiab=DGirlabg2 da9GGadiaa+vgadaWgaaWcbaGaamiEaaqabaGcdaWcaaqaaiabgkGi 2cqaaiabgkGi2kaaykW7caWG4baaaiabgUcaRiaa+vgadaWgaaWcba GaamyEaaqabaGcdaWcaaqaaiabgkGi2cqaaiabgkGi2kaaykW7caWG 5baaaiabgUcaRiaa+vgadaWgaaWcbaGaamOEaaqabaGcdaWcaaqaai abgkGi2cqaaiabgkGi2kaaykW7caWG6baaaaaa@53A9@

where e x , e y , e z MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGGadiaa=vgadaWgaa WcbaGaamiEaaqabaGccaqGSaGaaeiiaiaa=vgadaWgaaWcbaGaamyE aaqabaGccaqGSaGaaeiiaiaa=vgadaWgaaWcbaGaamOEaaqabaaaaa@41C2@ are unit vectors along the x, y, z axes

Note 1 to entry: It is recommended to print the symbol in boldface.


fr
opérateur nabla, m
nabla, m
notation symbolique exprimée formellement comme un vecteur, utilisée pour représenter des opérateurs différentiels scalaires ou vectoriels 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

= e x x + e y y + e z z MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGWabiab=DGirlabg2 da9GGadiaa+vgadaWgaaWcbaGaamiEaaqabaGcdaWcaaqaaiabgkGi 2cqaaiabgkGi2kaaykW7caWG4baaaiabgUcaRiaa+vgadaWgaaWcba GaamyEaaqabaGcdaWcaaqaaiabgkGi2cqaaiabgkGi2kaaykW7caWG 5baaaiabgUcaRiaa+vgadaWgaaWcbaGaamOEaaqabaGcdaWcaaqaai abgkGi2cqaaiabgkGi2kaaykW7caWG6baaaaaa@53A9@

e x , e y , e z MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGGadiaa=vgadaWgaa WcbaGaamiEaaqabaGccaqGSaGaaeiiaiaa=vgadaWgaaWcbaGaamyE aaqabaGccaqGSaGaaeiiaiaa=vgadaWgaaWcbaGaamOEaaqabaaaaa@41C2@ sont les vecteurs unités des axes x, y, z

Note 1 à l'article: Il est recommandé d'imprimer le symbole en gras.


de
Nabla, n
Nabla-Operator, m
Differentialoperator, m

es
operador nabla
nabla

ja
ナブラ演算子
ナブラ

pl
operator nabla
nabla

pt
operador nabla

sr
оператор набла, м јд
набла, ж јд

sv
nabla
nabla operator

zh
纳布拉算子

Publication date: 2008-08
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