Lipschitz

English

Named after Rudolf Lipschitz.

Lipschitz (not comparable)

(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 ${\\displaystyle f}$ , ${\\displaystyle |f(x_{1})-f(x_{2})|\\leq K|x_{1}-x_{2}|}$ .

单词	Lipschitz
释义	Lipschitz English Etymology Named after Rudolf Lipschitz. Adjective Lipschitz (not comparable) (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 ${\\displaystyle f}$ , ${\\displaystyle \|f(x_{1})-f(x_{2})\|\\leq K\|x_{1}-x_{2}\|}$ . Derived terms Lipschitz condition Lipschitz constant Lipschitz continuity Lipschitz continuous
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