English Explanatory Dictionary

Liouville number

English dictionary entry

Meanings

noun
  1. 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 0<|x-p/q|<1/(qⁿ).

Word forms

Liouville number Liouville numbers

Etymology

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

Related words

Liouville-Arnold theorem Liouville's equation Liouville's formula Liouville's theorem
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