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Lipschitz constant

Lipschitz constant noun: (Of a real-valued real function f) The smallest constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|.

Noun

Lipschitz constant (uncountable)

  1. (Of a real-valued real function f) The smallest constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|.

Questions about Lipschitz constant

What does Lipschitz constant mean?
Lipschitz constant means (Of a real-valued real function f) The smallest constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|.
What part of speech is Lipschitz constant?
Lipschitz constant is a noun.

Words near Lipschitz constant in the dictionary

  1. lipsalves
  2. lipsanotheca
  3. Lipschitz
  4. Lipschitz condition
  5. Lipschitz conditions
  6. Lipschitz constant
  7. Lipschitz continuities
  8. Lipschitz continuity
  9. Lipschitz continuous
  10. Lipschitzian
  11. Lipschutz

Source and license

Adapted from Wiktionary: Lipschitz constant (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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