# Lipschitz

## EnglishEdit

### EtymologyEdit

Named after Rudolf Lipschitz.

1. (mathematics) (Of a real-valued real function ${\displaystyle f}$ ) Such that there exists a constant ${\displaystyle K}$  such that whenever ${\displaystyle x_{1}}$  and ${\displaystyle x_{2}}$  are in the domain of ${\displaystyle f}$ , ${\displaystyle |f(x_{1})-f(x_{2})|\leq K|x_{1}-x_{2}|}$ .