Math 2.0

concept

Hölder continuity

Summary

A map between metric spaces is Hölder continuous with exponent α\alpha when d(f(x),f(y))≤C d(x,y)αd(f(x), f(y)) \le C \, d(x, y)^\alpha for some constant CC and all x,yx, y. For α=1\alpha = 1 this is the Lipschitz condition.

What this node needs for W2
  • 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/H%C3%B6lder_condition, lead section

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