Recent content by szf654

It seems that your look at this problem is way above my level of understanding :)

Well in my class we did not define them, just the divergence, and we are still required to solve this problem.

Thanks, but to be honest I am familiar with the curl, but its the first time I hear about pseudovector and forms. Is there a way to avoid using it?

Oh, I reposted into homework section, but let me write here as well. 2. Homework Equations Divergence of field v at p is Sum dv(x)/dxi. Vield is a divergence free if dv(x)/dxi=0 for every x. Divergence theorem: integral div v over S=integral v*n over dS where n is vector pointing...

Thanks for pointing out, I am new here :)

Prove that every divergence free vector field on R^n, n>1 is of the form: v(x)=SUM dAij/dxi *ej where Aij(x) is smooth function from R^n to R such that Aij(x)=-Aji(x) i.e. matrix $[Aij(x)]$ is skew symmetric for every vector x.