# Lipschitz

## EnglishEdit

### EtymologyEdit

Named after Rudolf Lipschitz.

Lipschitz (not comparable)

1. (mathematics) (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 $f$, $|f(x_1)-f(x_2)|\leq K|x_1-x_2|$.

#### Derived termsEdit

• Lipschitz condition
• Lipschitz constant
• Lipschitz continuity
• Lipschitz continuous