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Math Formulas > Linear Algebra > Gradient of a Scalar Field

Gradient of a Scalar Field

The gradient of a scalar field is given by:



Gradient is a vector that represents both the magnitude and the direction of the maximum space rate of increase of a scalar.

dV = (∇V) ∙ dl, where dl = ai ∙ dl

In Cartesian



In Cylindrical



In Spherical



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