I managed to show that the flux through an infinitesimally small(adsbygoogle = window.adsbygoogle || []).push({}); cubeequals the divergence of the vector field at that point. I also managed to show that the circulation around an infinitesimally smallsquareequals the component of the curl perpendicular to that square at that point.

Should these demonstrations be considered special cases, since they deal with cubes and squares instead of general shapes, or can I consider them to be general proofs?Does the shape of the infinitesimal objects matter in that kind of proof?

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# The shape of infinitesimal objects

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