curl function

Potentials are vectors. Field or potential cross product of del and f {curl, function} describes area density. Curl is vector-field rotation rate {circulation density}, with magnitude and direction. Curl is non-linear. Using no coordinates, curl is limit, as volume goes to zero, of surface integral over closed surface, of cross product of unit outward-normal vector and function, all divided by volume. Find region-boundary function value and then divide by region volume.

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