metric space


metric space

noun

Definition of METRIC SPACE

:  a mathematical set for which a metric is defined for any pair of elements

First Known Use of METRIC SPACE

1927

metric space

noun    (Concise Encyclopedia)

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).

Browse

Next Word in the Dictionary: metric system
Previous Word in the Dictionary: metricize
All Words Near: metric space

Seen & Heard

What made you want to look up metric space? Please tell us where you read or heard it (including the quote, if possible).