Liouville number

(redirected from Liouville constant)

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.
References in periodicals archive ?
On variations of the Liouville constant which are also Liouville numbers Diego MARQUES and Carlos Gustavo MOREIRA Communicated by Masaki KASHIWARA, M.J.A.
On variations of the Liouville constant which are also Liouville numbers--Diego MARQUES and Carlos Gustavo MOREIRA Communicated by Masaki KASHIWARA, M.J.A.