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## Existence of Potential Functions and Path Independence |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

A continuous vector field on a region has a potential function if, and only if,it is conservative, i.e.that line integrals of in are independ of the path. In this case

where denotes an arbitrary curve in joining a fixed chosen point with a point In particular the potential function is uniquely determined up to a constant.

**see also:**

- Keyword: Potential: scalar
- Keyword: Work integral

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automatically generated 6/15/2005 |