# Divergence facts for kids

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 , the divergence of can be written as or , where is the gradient and is the dot product operation.

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

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Divergence Facts for Kids. *Kiddle Encyclopedia.*