Equivalence of metrics
id:
equivalence-of-metrics-198-1290901
title:
Equivalence of metrics
text:
In mathematics, two metrics on the same underlying set are said to be equivalent if the resulting metric spaces share certain properties. Equivalence is a weaker notion than isometry; equivalent metrics do not have to be literally the same. Instead, it is one of several ways of generalizing equivalence of norms to general metric spaces. Throughout the article, X will denote a non-empty set and d 1 and d 2 will denote two metrics on X .
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Equivalence_of_metrics
date created:
date modified:
2023-09-13T05:30:31Z
main entity:
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image:
fields total:
13
integrity:
13