
scalar quantity ?f associated at each point with a scalar field quantity f, equal to the divergence of the gradient of the scalar field quantity: ?f = div grad f NOTE - In orthonormal Cartesian coordinates, the Laplacian of a scalar field quantity is:
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http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=101-11-43

vector quantity ?f associated at each point with a vector field quantity f, equal to the gradient of the divergence of the vector field quantity minus the rotation of the rotation of this vector field quantity: ?f = grad div f - rot rot f NOTE - In orthonormal Cartesian coordinates, the three components of the Laplacian of a vector field quanti...
Found on
http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=101-11-44

The divergence of a gradient.Laplacian of a scalar in rectangular coordinates:Laplacian of a vector in rectangular coordinates:In spherical and cylindrical coordinates:
Found on
https://www.encyclo.co.uk/local/20687
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