METRIC SPACE

Pronunciation (US):

(GB):

 I. (noun) 

Sense 1

Meaning:

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

Classified under:

Nouns denoting groupings of people or objects

Hypernyms ("metric space" is a kind of...):

mathematical space; topological space ((mathematics) any set of points that satisfy a set of postulates of some kind)

Hyponyms (each of the following is a kind of "metric space"):

Euclidean space (a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional)

Hilbert space (a metric space that is linear and complete and (usually) infinite-dimensional)

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