Word.ws English Dictionary

Lipschitz continuous

Lipschitz continuous adjective: (Of a real-valued real function f) Such that there exists a 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|.

Adjective

Lipschitz continuous (not comparable)

  1. (Of a real-valued real function f) Such that there exists a 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 continuous

What does Lipschitz continuous mean?
Lipschitz continuous means (Of a real-valued real function f) Such that there exists a 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 continuous?
Lipschitz continuous is an adjective.

Words near Lipschitz continuous in the dictionary

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

Source and license

Adapted from Wiktionary: Lipschitz continuous (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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