A 1-form is said to be exact in a region if there is a function that is defined and of class (i.e., is once continuously differentiable in ) and such that .
Exact Form
This entry contributed by Andriy Drozdyuk
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Drozdyuk, Andriy. "Exact Form." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ExactForm.html