# Liouville number

(redirected from*Measure of irrationality*)

## 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.

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