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May 2, 2010 at 13:13 vote accept Jonah Blasiak
May 2, 2010 at 10:51 comment added Sergei Ivanov No it never holds for polynomials. The functions $f(a_ix)$ are linearly dependent if their number is greater than degree plus 1.
May 2, 2010 at 9:06 answer added Sergei Ivanov timeline score: 12
May 1, 2010 at 22:06 comment added Steve Huntsman A quick numerical test indicates that it seems to hold for most polynomials, though certainly not for monomials.
May 1, 2010 at 21:22 history asked Jonah Blasiak CC BY-SA 2.5