metric space vs Euclidean space
Euclidean space vs metric spacemetric space and Euclidean space both are nouns.
| Word | Noun | Adjective | Verb | Adverb |
|---|---|---|---|---|
| metric space | Yes | No | No | No |
| Euclidean space | Yes | No | No | No |
As nouns,
Euclidean space is a hyponym of
metric space; that is, Euclidean space is a
word with a more specific, narrower meaning than
metric 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
- Euclidean space: a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Other hyponyms of metric space include
Hilbert space.
| metric space (noun) | Euclidean space (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 | a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional |
Words related to "metric space"
Words related to "Euclidean space"
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