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Thue-Siegel-Roth Theorem

If $\alpha$ is a Transcendental Number, it can be approximated by infinitely many Rational Numbers $m/n$ to within $n^{-r}$, where $r$ is any Positive number.

See also Liouville's Rational Approximation Theorem, Liouville-Roth Constant, Roth's Theorem




© 1996-9 Eric W. Weisstein
1999-05-26