Sentences with METRIC-SPACE
Check out our example sentences below to help you understand the context.Sentences
1
"A metric space is a set equipped with a distance function."
2
"In a metric space, the distance between two points is always non-negative."
3
"The metric space is a fundamental concept in mathematics."
4
"Euclidean spaces are familiar examples of metric spaces."
5
"A subset of a metric space is also a metric space with the same distance function."
6
"The metric space can be used to define convergence and continuity."
7
"A complete metric space is one in which every Cauchy sequence converges."
8
"The real numbers with the absolute value function form a metric space."
9
"In a metric space, the triangle inequality holds for all points."
10
"The concept of a metric space generalizes the notion of distance between points."
11
"The metric space allows for the formulation of mathematical concepts and theorems."
12
"Some metric spaces may be discrete, where the distance is either 0 or 1."
13
"A metric space is characterized by a set of axioms that its distance function must satisfy."
14
"A sequence in a metric space can have multiple limits."
15
"The metric space provides a framework for studying topological properties."
16
"The metric space is used in various branches of mathematics and physics."
17
"The concept of a metric space is essential in analysis and geometry."
18
"In a metric space, the distance between a point and itself is always zero."
19
"The concept of a metric space was introduced by the mathematician Felix Hausdorff."
1
"In mathematics, a metric space is a set where pairs of elements have a defined distance between them."
2
"Euclidean space is an example of a metric space."
3
"A metric space is a fundamental concept in topology."
4
"In a metric space, the distance between any two points is always non-negative."
5
"The metric space can be defined by a function called a metric."
6
"A complete metric space is one where all Cauchy sequences converge."
7
"The open ball in a metric space is a set of all points within a certain distance from a given point."
8
"A metric space may have infinitely many points."
9
"The concept of metric space generalizes the notion of distance in geometry."
10
"Every normed vector space can be turned into a metric space by defining the distance as the norm of the difference."
