Math 2.0

Real functions Concept

Divergence

Builds on Vector fieldPartial derivative

Summary

The divergence of a differentiable vector field is a scalar function. At each point, it measures the net rate of outward flow of the field per unit volume. In Cartesian coordinates it is the sum of the partial derivatives ∂Fi/∂xi\partial F_i / \partial x_i of the components.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptVector-valued function, concept, no evidence levelVector-valued functionconceptPartial derivative, concept, no evidence levelPartial derivativeconceptVector field, concept, no evidence levelVector fieldconceptDivergence, concept, no evidence levelDivergenceconcept
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  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Vector-valued function concept
  5. Partial derivative concept
  6. Vector field concept
  7. Divergence concept

Where this leads

168 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Divergence, Physical interpretation of divergence
  2. Web https://en.wikipedia.org/wiki/Divergence, Definition
About this page
Tag0MWV6ZTK6S
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Aliasesdiv
Kindconcept
WritingW1 stated
MSC26B12
UsesVector field, Partial derivative
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