11 Nov
2011
11 Nov
'11
3:02 p.m.
ASU ought to be up your (Rwg's) alley since you are big on solving polys by radicals... well, ASU polynomials all are soluble.
--so a related question even further rwged would be: is there a Weierstrass approximation theorem if you are not allowed to use all polynomials, but only polys that are soluble by radicals? And what if only square roots are allowed as the radicals? Or no roots at all? And the answer is "of course there is" because represent said polynomials as C*(x-r1)*(x-r2)*...*(x-rN) and use fact the numbers representable using radicals, square roots only, or just the rationals... are dense.