metric space vs Hilbert space

metric space and Hilbert space both are nouns.

Word	Noun	Adjective	Verb	Adverb
metric space	Yes	No	No	No
Hilbert space	Yes	No	No	No

As nouns, Hilbert space is a hyponym of metric space; that is, Hilbert 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
Hilbert space: a metric space that is linear and complete and (usually) infinite-dimensional

Other hyponyms of metric space include Euclidean space.

metric space (noun)	Hilbert 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 metric space that is linear and complete and (usually) infinite-dimensional

metric space vs Hilbert space

metric space and Hilbert space both are nouns.

Words related to "metric space"

Words related to "Hilbert space"