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Liouville number

Liouville number 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 0<|x-p/q|<1/(qⁿ).

Noun

Liouville number (plural Liouville numbers)

  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).

Liouville number meaning in Tamil

Liouville number in Tamil

லியுவெல் எண்

Forms of Liouville number

pluralLiouville numbers

Origin of Liouville number

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

Questions about Liouville number

What does Liouville number mean?
Liouville number means 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).
What is Liouville number in Tamil?
Liouville number in Tamil is லியுவெல் எண். See Liouville number meaning in Tamil.
What part of speech is Liouville number?
Liouville number is a noun.
What is the plural of Liouville number?
The plural of Liouville number is Liouville numbers.

Words near Liouville number in the dictionary

  1. Liouguei
  2. Lioujia
  3. Lioujiao
  4. Lious
  5. Liouville
  6. Liouville number
  7. Liouville numbers
  8. Liouville's formula
  9. Liouville-Arnold theorem
  10. Liouying
  11. lioz

Source and license

Adapted from Wiktionary: Liouville number (page history and authors); liouville number (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Liouville number.” Word.ws, https://word.ws/liouville_number. Based on Wiktionary, CC BY-SA 4.0.