I will do one of the three. You must do the other two!
Suppose that .
Then
Hi, i was wondering if someone can help me understand about this problem.
Prove that a function F: R x R --> R satisfy any two of the properties
a)VxVy[F(x,y)=F(y,x)]
b)VxVy[F(x,y)=F(-x,-y)
c)VxVy[(F(x,y)=F(-y,-x)]
must also satisfy the third.
(VxVy stands for all x and for all y)