Liouville number

Meaning

Noun

An irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that $\textstyle 0< \left |x- \frac{p}{q} \right| < \frac{1}{q^{n}}.$

Related

Broader meaning words

transcendental number

Origin

Named after Joseph Liouville (1809–1882), a French mathematician.

Modern English dictionary

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