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metric space

DEFINITIONS OF: metric space

1

n 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

Types:
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
Type of:
mathematical space, topological space
(mathematics) any set of points that satisfy a set of postulates of some kind
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