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Lipschitz condition

Lipschitz condition noun: a property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.

Noun

Lipschitz condition (plural Lipschitz conditions)

  1. A property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.

Forms of Lipschitz condition

pluralLipschitz conditions

Origin of Lipschitz condition

Named after Rudolf Lipschitz (1832–1903), a German mathematician. It is called a "condition" because it is a sufficient (but not necessary) condition for continuity of a function.

Questions about Lipschitz condition

What does Lipschitz condition mean?
Lipschitz condition means a property which can be said to be held by some point in the domain of a real-valued function if there exists a neighborhood of that point and a certain constant such that for any other point in that neighborhood, the absolute value of the difference of their function values is less than the product of the constant and the absolute value of the difference between the two points.
What part of speech is Lipschitz condition?
Lipschitz condition is a noun.
What is the plural of Lipschitz condition?
The plural of Lipschitz condition is Lipschitz conditions.

Words near Lipschitz condition in the dictionary

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

Source and license

Adapted from Wiktionary: Lipschitz condition (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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