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Re: Complex Analysis Question
Posted:
Feb 13, 2006 1:59 PM


Let Y = {z in C^n  z' * x = 0} and let z_1 be a fixed element of Z. Note that every element of Y + z_1 is in Z. Can you show that every element of Z is in Y + z_1?
________________________________ Eric J. Wingler (wingler@math.ysu.edu) Dept. of Mathematics and Statistics Youngstown State University One University Plaza Youngstown, OH 445550001 3309411817
"junoexpress" <mathimagical@netscape.net> wrote in message news:1139780531.686732.17880@z14g2000cwz.googlegroups.com... > I have to apologize, but I still don't see the significance of what > you're saying. > > >From what I can see, you are saying the following: > If we let x be a fixed element of C^n, and Z = { z el C^n  z' * x = 1 > + 0i} > Then W = { w el C^n  w = z1  z2 for z1 and z2 in Z} is a subspace > > which is true, yet how does the set formed by the differences of all > elements in Z address my original question which was "is there a > general way to describe/understand the set Z ?" (Since knowing that W > is a subspace for example does not tell me that Z is a subspace.) > > Juno >



