sentences:  Given "m"0...,"m"2"m"-1 ∈ R, consider the collection C of measures "μ" on R such that
  
  for "k" = 0,1...,2"m" − 1 (and in particular the integral is defined and finite).Let "P"0,"P"1, ...,"P""m" be the first "m" + 1 orthogonal polynomials with respect to "μ" ∈ C, and let "ξ"1..."ξ""m" be the zeros of "P""m".It is not hard to see that the polynomials "P"0,"P"1, ...,"P""m"-1 and the numbers "ξ"1..."ξ""m" are the same for every "μ" ∈ C, and therefore are determined uniquely by "m"0...,"m"2"m"-1.