In mathematics, a metric space consists of a set , the “space,” for which the distance between all of it’s members can be calculated using a function , the metric.
must be a real function defined on , and for each the following must all be true:
- and (non-negative, identity of indiscernibles)
- (triangle inequality)
is also known as the distance function or just distance.
The most common metric space is 3-dimensional Euclidean space.« Back to Glossary Index