[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]

Mathematics-Online lexicon:

# 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.

Annotation: