Math 2.0

concept

Lipschitz condition

Summary

A function satisfies a Lipschitz condition when the distance between two values is at most a constant times the distance between the two points. This is a strong form of continuity. In the theory of differential equations, it gives uniqueness of solutions. See the definition.

Remarks

It is named after Rudolf Lipschitz.

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  • edge equivalent in: a statement for each pair of definitions that a source proves equivalent (0 of 1)
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/Lipschitz_continuity, lead section

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Definitions