Recent content by lonewolf999

Homework Statement Let F be the vector space (over R) of all functions f : R−R. Determine whether or not the following subsets of F are subspaces of F: Homework Equations 1. S1 = {f e F|f(−3) = 0 and f(10) = 0}; 2. S2 = {f e F|f(−3) = 0 or f(10) = 0}. The Attempt at a Solution I...

if i take z=x+iy, then Re(z)=x and Im(z)=y, however i can't finish it there.

Homework Statement Show that the function f(z) = Re(z) + Im(z) is continuous in the entire complex plane. Homework Equations The Attempt at a Solution I know that to prove f(z) is a continuous function i have to show that it is continuous at each part of its domain. I take...