Liouville number
(redirected from Liouville's theorem on diophantine approximation)

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Liouville number [′lyü‚vēl ‚nəm·bər]

(mathematics)

An irrational numberxsuch that for any integernthere exist integerspandq, withqgreater than 1, for which the absolute value ofx- (p/q) is less than 1/qⁿ.

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Liouville number (redirected from Liouville's theorem on diophantine approximation)

Liouville number
(redirected from Liouville's theorem on diophantine approximation)