what is the family of curves orthogonal to this phi.

Feb 1st 2009, 12:20 AM

Opalg

Quote:

Originally Posted by silversand

what is the family of curves orthogonal to this phi.

This looks like a question from complex variable theory. If z = x + iy then is the real part of the analytic function . For any analytic function f(z), the family of curves given by Im(f(z)) = const. will be orthogonal to the family of curves Re(f(z)) = const.