metric space

(redirected from Bounded metric space)
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Related to Bounded metric space: Totally bounded set
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  • noun

Words related to metric space

a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

References in periodicals archive ?
There are many non-trivial similarities and, consequently, non-trivial sets with similarity, such as reflexive sets and bounded metric spaces.
By allowing [infinity] as a distance we have in effect restricted to bounded metric spaces.
The Egli-Milner ordering from reflexive sets and the Hausdorff metric from bounded metric spaces can be generalized to sets with similarity as follows:
While in the special case of reflexive sets, the Egli-Milner relation tells us only when a table or an answer is interchangeable with another one, in the special case of bounded metric spaces, the Hausdorff metric allows a more fine-grained control of relaxation.