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Definition 2025

Lipschitz

Lipschitz

English

Adjective

Lipschitz ‎(not comparable)

(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 terms

Lipschitz condition
Lipschitz constant
Lipschitz continuity
Lipschitz continuous