could actually the Cauchy theorem be applied to [tex] R^{2} [/tex] of course with some restrictions..namely(adsbygoogle = window.adsbygoogle || []).push({});

-The differential form must be invariant under rotation in the plane

-The differential form must come from a gradient [tex] \nabla{S}=f/(|r|-a) [/tex]

with this using the same techniques by Cuachy we could se the equality:

[tex] \Int_{C}dq.F(x,y)//(|r|-a)=2\piF_{r}(a) [/tex]

this means somehow that the integral over a curve on RxR is equal to the normal component evaluated at the point r=a where r is the modulus of the vector (x,y,z)

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# Cauchy,s theorem on real plane?(R^2)

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