Assertion: metric space | /r/HasProperty | set
Facets:
value: in mathematics
type: OTHER
value: with a global distance function
type: OTHER
value: namely
type: OTHER
value: without an additional algebraic structure
type: OTHER
value: with a metric on the set
type: OTHER
value: together
type: MANNER
Source sentences:
text: In mathematics, a metric space is a set together with a metric on the set.
text: Let (M, d) be a metric space, namely a set M with a metric (distance function)
text: A metric space can be any set, with or without an additional algebraic structure.
text: A metric space is a set taken together with a metric on that set.
text: In mathematics, a metric space is a set where a notion of distance between elements of the set is defined.
text: A metric space is a set equipped with some distance function.
text: In mathematics, a metric space is a set for which distances between all members of the set are defined.
text: A metric space is a set with a global distance function (the metric ) that, for every two points in , gives the distance between them as a nonnegative real number .
text: In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined.
text: A metric space is a set along with a distance function such that the following hold for all :
text: A metric space (M, d) is a set M equipped with a function d : M × M →