Sentences with PSEUDOMETRIC-SPACE
Check out our example sentences below to help you understand the context.Sentences
1
"A pseudometric space is a generalization of the concept of metric space."
2
"In a pseudometric space, the distance between two points can be zero even if the points are not identical."
3
"A pseudometric space can be thought of as a relaxed version of a metric space."
4
"The concept of a pseudometric space was first introduced by Maurice Fréchet."
5
"Some common examples of pseudometric spaces include the space of continuous functions and the space of probability measures."
6
"A pseudometric space is a set equipped with a pseudometric."
7
"The pseudometric in a pseudometric space only needs to satisfy the nonnegativity and symmetry properties."
8
"A pseudometric space can have multiple distinct pseudometrics defined on it."
9
"The concept of convergence can still be defined in a pseudometric space, even if the triangle inequality is not satisfied."
10
"The study of pseudometric spaces is an important part of the field of mathematics known as general topology."
11
"In a pseudometric space, the distance between two points may not always be uniquely defined."
12
"The concept of a complete pseudometric space is often used in the study of metric completion."
1
"In mathematics, a pseudometric space is a set with a pseudometric function defined on it."
2
"A pseudometric space is similar to a metric space, but the distance function in a pseudometric space does not necessarily satisfy all the properties of a metric."
3
"The concept of a pseudometric space allows for a more general approach to studying certain structures."
4
"A common example of a pseudometric space is the space of all continuous functions on a given interval."
5
"Every metric space is also a pseudometric space, but the converse is not always true."
6
"In topology, pseudometric spaces are often used to define topological properties without necessarily relying on a complete metric."
7
"Some applications of pseudometric spaces include the study of fractals and the analysis of complex systems."
8
"In graph theory, a pseudometric space can be used to measure the similarity between nodes in a network."
