Assertion: metric space | /r/HasProperty | pair
Facets:
value: formally
type: DEGREE
Source sentences:
text: A metric space is a pair (X, d), where X is a set (the space) and d is a function d: X × X → R (the metric) such that, for all x,y,z we have:
text: This would be a different metric space, because a metric space is the pair (X,d), so a change in d changes the metric space.
text: Formally, a metric space is a pair M = (X,d) where X is a finite set of size N nodes, equipped with the distance metric function d: X × X → R+; for each a,b ∈ X the distance between a and b is given by the function d(a,b).
text: A metric space is a pair $
text: A metric space is a pair (X,d) where X is a set and d : X2 [0, ) with the properties that, for each x,y,z in X:
text: A metric space is a pair $(X, d)$ of a set $X$ and a map
text: A metric space is a pair (X, d) where X is a set and d is a function d: X × X → [0, ∞), called a metric, that satisfies the following properties for all x, y, z in X: (a) d(x, y)