HyperDic: metric_space

English > 1 sense of the expression metric space:
NOUNgroupmetric spacea 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
English > metric space: 1 sense > noun 1, group
MeaningA 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.
NarrowerEuclidean spaceA space in which Euclid's axioms and definitions apply
Hilbert spaceA metric space that is linear and complete and (usually) infinite-dimensional
Broadermathematical space, topological space(mathematics) any set of points that satisfy a set of postulates of some kind
Spanishespacio métrico
Catalanespai mètric

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