Liouville number

(redirected from Liouville's theorem on diophantine approximation)

Liouville number

[′lyü‚vēl ‚nəm·bər]
(mathematics)
An irrational number x such that for any integer n there exist integers p and q, with q greater than 1, for which the absolute value of x- (p / q) is less than 1/ q n .
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.