Hello there. I've been working on trying to re-derive a certain physical formula using vector calculus, and came to a conclusion that in order to derive it, I'll need a way to determine the nature of a certain expression.(adsbygoogle = window.adsbygoogle || []).push({});

Specifically:

∯-f(v)·da={xv_{1},x_{2},x_{3},...,x_{n}} andreturns a vector in the same space off(v).v

Is there a way to determine if a certain arbitrary functionhas a constant Flux, as one would call it, on a closed surface using some other information aboutf(v)such as its potential (∮f(v)f(v)·), divergence, etc.?dv

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# I Determining the flux of an arbitrary vector function

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