Divergence

vector differential operator measuring the source or sink at a given point

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.[1][2][3]

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

Related pagesEdit

ReferencesEdit

  1. "List of Calculus and Analysis Symbols". Math Vault. 2020-05-11. Retrieved 2020-10-14.
  2. "Calculus III - Curl and Divergence". tutorial.math.lamar.edu. Retrieved 2020-10-14.
  3. "Divergence (article)". Khan Academy. Retrieved 2020-10-14.