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mathematical space vs metric space

metric space vs mathematical space

mathematical space and metric space both are nouns.

Word NounAdjectiveVerbAdverb
mathematical space Yes No No No
metric space Yes No No No
As nouns, metric space is a hyponym of mathematical space; that is, metric space is a word with a more specific, narrower meaning than mathematical space:
  • mathematical space: (mathematics) any set of points that satisfy a set of postulates of some kind
  • 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
Other hyponyms of mathematical space include subspace, null space, manifold, wedge sum.
mathematical space (noun) metric space (noun)
(mathematics) any set of points that satisfy a set of postulates of some kind 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
Difference between mathematical space and metric space

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