metric spaces

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Definition of metric spaces in English English dictionary: plural form of metric space
metric space: Any space whose elements are points, and between any two of which a non-negative real number can be defined as the distance between the points; an example is Euclidean space
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
metric space: In mathematics, a set of objects equipped with a concept of distance. The objects can be thought of as points in space, with the distance between points given by a distance formula, such that: (1) the distance from point A to point B is zero if and only if A and B are identical, (2) the distance from A to B is the same as from B to A, and (3) the distance from A to B plus that from B to C is greater than or equal to the distance from A to C (the triangle inequality). Two-and three-dimensional Euclidean spaces are metric spaces, as are inner product spaces, vector spaces, and certain topological spaces (see topology)

metric spaces

Hyphenation

met·ric spaces

metrîk speysız

/ˈmetrək ˈspāsəz/ /ˈmɛtrɪk ˈspeɪsəz/

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