Recent content by malcmitch20

thanks

What would be the best way to show that if F is an infinite field and f(x) is a polynomial in F[x] and f(a)=0 for an infinite number of elements a of F, that f(x) must be the zero polynomial? It kind of just makes logical sense to me, so I can't think of a way to actually show this. please help

Hello all, I am having trouble showing that the operation defined by f*g(f of g)= Integral[from a to b]f(x)g(x) is an inner product. I know it must fulfill the inner product properties, which are: x*x>=0 for all x in V x*x=0 iff x=0 x*y=y*x for all x,y in V x(y+z)=x*z+y*z...

very informative. I didn't think of it that way. Thanks a lot!

Hello, I am having trouble finding an example of a set in R^2 that is neither open nor closed. I have already shown the half open interval [0,1) is neither open nor closed, but I can't seem to find any other examples. Can someone push me in the right direction? Would x^2+ y^2<1 be open nor...