NOUN
- 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
How To Use metric space In A Sentence
- If the space is a so-called metric space, it is usually expected that the underlying automorphism shall at least be isometric, meaning that the transformations preserve the distance between any pair of points. SYMMETRY AND ASYMMETRY
- Acoustics, the geometric space figure that is made up of the acoustic foci of an acoustic lens, mirror, or other acoustic optical system and is the acoustic counterpart of an extended source of sound.
- Now, to a mathematician (and I am one of those), a metric is a nonnegative function of two points in a metric space (so-called because it is a set on which a metric is defined) that tells something about how far apart (often in quite nonintuitive ways) the two points are. No Uncertain Terms
- A Banach space is a real or complex normed vector space that is complete as a metric space under the metric induced by the norm.
- If the space is a so-called metric space, it is usually expected that the underlying automorphism shall at least be isometric, meaning that the transformations preserve the distance between any pair of points. SYMMETRY AND ASYMMETRY
- Any metric space is an open subset of itself.