``Re: are polynomials dense in C(R)?''
by azdbacks4234 on 2008-05-29 00:15:00
I should have mentioned this earlier (my apologies). What you're talking about is more or less the Weierstrass Approximation Theorem, which holds for C(X), where X is a compact subset of Euclidean n-space (R^n):
This result is a special case of the Stone-Weierstrass Theorem (of which there is a real and complex version), which gives general conditions under which a sub-algebra of the continuous functions on a compact topological space is uniformly dense in the space of all continuous functions thereon:
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