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both divergence and curl of a vector field have a formal definition, however, we don't use these definitions when we compute the divergence or curl. so can we just derive the computations from the definitions?

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    $\begingroup$ What do you mean with 'we don't use these definitions'?, because I think we do. Or can you give the definitions? $\endgroup$ – WarreG Jan 24 '19 at 10:09
  • $\begingroup$ Would Mathematics be a better home for this question? $\endgroup$ – Qmechanic Jan 24 '19 at 10:17
  • $\begingroup$ I just want to know how to derive the formula for the curl or divergence from their formal definitions $\endgroup$ – gogo oka Jan 24 '19 at 16:38

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