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of a vector field along a closed curve

The integral

In coordinate form the circulation is equal to

The work performed by the forces of the field in displacing a test body (of unit mass, charge, etc.) along is equal to the circulation of the field along . See Stokes theorem.


This notion is also called a line integral (of a vector field) along a closed curve.

How to Cite This Entry:
Circulation. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article