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The divergence of a vector field is a scalar field, with each point corresponding to the magnitude of the change in density of the vector field at said point. Divergence can be calculated by taking the dot product of the vector field and the del operator, although it is formally defined in as

Divergence can be thought of as flux density. A vector field which has a divergence of zero is called an incompressible vector field.

Given the function

divergence is equal to

In dimensions, divergence of is equal to

See also

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