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Divergence facts for kids

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In mathematics, divergence is a differential operator that associates a vector field with a scalar field. In a vector field, each point of the field is associated with a vector; in a scalar field, each point of the field is associated with a scalar.

Given a vector field \mathbf{F}, the divergence of \mathbf{F} can be written as \operatorname{div} \mathbf{F} or \nabla \cdot \mathbf{F}, where \nabla is the gradient and \cdot is the dot product operation.

Divergence is used to formulate Maxwell's equations and the continuity equation.

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