prescribed arbitrarily?

Hello,

Let X be the space of all polynomials p(s) with complex coefficients of
degree less than n, and take U=C^n. Choose s1, s2, ... , sn as n
distinct complex numbers and define T: X -> U by
T(p) = (p(s1), p(s2), ..., p(sn)) since the range of T is all of U the
the values of p at s1, s2, .... , sn can be "prescribed arbitrarily"



Could someone explain to me what "Prescribed Arbitrarily" means?


Thanks, Ardi

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