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Friday, April 15, 2011

The Curl in General Orthogonal Coordinate System


We may use Stokes' Theorem to deduce this by applying it to a tiny rectangle normal to the w1 direction with sides obeying one of dw2� = 0 and dw3� = 0, and then cyclically permuting the indices.
The surface integral in Stokes' theorem then becomes
u2u3dw2dw3(v)1
while the path integrals become
which gives us:
 



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