Numbers 1, 
,
..., 
are rationally independent iff under the action of rotation
on the 
-dimensional
torus, every orbit is equidistributed.
Kronecker-Weyl Theorem
See also
Equidistributed SequenceExplore with Wolfram|Alpha
References
King, J. L. "Three Problems in Search of a Measure." Amer. Math. Monthly 101, 609-628, 1994.Referenced on Wolfram|Alpha
Kronecker-Weyl TheoremCite this as:
Weisstein, Eric W. "Kronecker-Weyl Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Kronecker-WeylTheorem.html