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Laplacian in Cartesian Coordinates (Definition)

The Laplacian operator in Cartesian coordinates is

$\displaystyle \nabla^{2} = \frac{\partial^2}{\partial x^2}+ \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2}$ (1)



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See Also: Laplacian in Spherical Coordinates, D'Alembertian, Laplacian, Laplacian in Cylindrical Coordinates


Cross-references: operator, Laplacian

This is version 4 of Laplacian in Cartesian Coordinates, born on 2006-10-26, modified 2009-04-18.
Object id is 232, canonical name is LaplacianInCartesianCoordinates.
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Classification:
Physics Classification: 02. (Mathematical methods in physics)
 02.40.Dr (Euclidean and projective geometries)
 40. (ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS)
Pending Errata and Addenda
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