SEMI-METRIC SPACE
(noun)Did you mean?
Definitions
There is 1 meaning of the phrase
Semi-Metric Space.
Semi-Metric Space - as a noun
A generalized metric space in which the distance between two distinct points can be zero.
Example: "In the same way as every normed space is a metric space, every seminormed space is a pseudometric space."
Synonyms (Exact Relations)
pseudometric spaceExample Sentences
"A semi-metric space is a generalization of the concept of a metric space."
"In a semi-metric space, the distance between two points can be zero even if the points themselves are not identical."
"The notion of a semi-metric space is widely used in various areas of mathematics and computer science."
"In a semi-metric space, the triangle inequality may not hold for all pairs of points."
"Topological properties such as openness and compactness can be defined in semi-metric spaces."
