  Let K(x_1,...,x_d) be a polynomial. If you are not given the real numbers
\alpha_1, \alpha_2, ...,\alpha_d, but are given the polynomial K and the
sequence a_n=K(\floor{n\alpha_1},\floor{n\alpha_2},...,\floor{n\alpha_d}), can
you deduce the values of \alpha_i? Not, it turns out, in general. But with
additional irrationality hypotheses and certain polynomials, it is possible. We
also consider the problem of deducing \alpha_i from the integer sequence with
nested flooring (\floor{\floor{... \floor{\floor{n\alpha_1}\alpha_2}...
\alpha_{d-1}}\alpha_d})_{n=1}^\infty.
