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Is the divergence of curl equal to zero for all coordinate systems?

Even a curvilinear coordinate system such as double spheroidal coordinates?

Ulad Kasach
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    Change of coordinates formulas are linear. This implies that if a vector is $0$ in one coordinate system, it's $0$ in all of them. – mlainz Apr 19 '16 at 23:37
  • The coordinate system is irrelevant. You should read http://math.stackexchange.com/questions/26854/what-is-an-intuitive-explanation-for-operatornamediv-operatornamecurl-f – Alon Navon Apr 20 '16 at 00:09

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