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About: Metric differential     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Whole100003553, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatLipschitzMapsyago:Artifact100021939yago:Creation103129123yago:Map103720163yago:Object100002684yago:PhysicalEntity100001930yago:Representation104076846yago:Whole100003553 New Facet based on Instances of this Class

In mathematical analysis, a metric differential is a generalization of a derivative for a Lipschitz continuous function defined on a Euclidean space and taking values in an arbitrary metric space. With this definition of a derivative, one can generalize Rademacher's theorem to metric space-valued Lipschitz functions.