Definition of Bilipschitz. Meaning of Bilipschitz. Synonyms of Bilipschitz

Here you will find one or more explanations in English for the word Bilipschitz. Also in the bottom left of the page several parts of wikipedia pages related to the word Bilipschitz and, of course, Bilipschitz synonyms and on the right images related to the word Bilipschitz.

Definition of Bilipschitz

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Meaning of Bilipschitz from wikipedia

- is called K-bilipschitz (also written K-bi-Lipschitz). We say f is bilipschitz or bi-Lipschitz to mean there exists such a K. A bilipschitz mapping is...
- a uniformly continuous inverse). They are called bilipschitz homeomorphic if there is a bilipschitz bijection between them (i.e., a Lipschitz bijection...
- word metrics. However, finitely generated word metrics are unique up to bilipschitz equivalence: if S {\displaystyle S} , T {\displaystyle T} are two symmetric...
- The stretch factor (i.e., bilipschitz constant) of an embedding measures the factor by which the embedding distorts distances. Suppose that one metric...
- {\displaystyle d_{1}} and d 2 {\displaystyle d_{2}} on X are strongly or bilipschitz equivalent or uniformly equivalent if and only if there exist positive...
- domains, which are domains whose boundary is locally flattable by a bilipschitz mapping. Lipschitz domains in the sense above are sometimes called strongly...
- T)} depend on the generating set T. However, any two such metrics are bilipschitz equivalent in the following sense: for finite symmetric generating sets...
- space and satisfies a (1, 1)-Poincaré inequality. FQ does not have a bilipschitz embedding into any Euclidean space. Heinonen, Juha; Koskela, Pekka; Shanmugalingam...