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Sentences with SEMI-METRIC-SPACE

Check out our example sentences below to help you understand the context.

Sentences

1
"The semi-metric space property allows for asymmetric distances between points."
2
"In a semi-metric space, the triangular inequality does not always hold."
3
"A semi-metric space can have multiple distinct metrics."
4
"The semi-metric space property is weaker than that of a metric space."
5
"In a semi-metric space, the distance between two points can be zero even if the points are not identical."
6
"A semi-metric space can have distances that satisfy symmetry and non-negativity but not the triangular inequality."
7
"In a semi-metric space, the distance from a point to itself can be zero."
1
"A semi-metric space is a generalization of the concept of a metric space."
2
"In a semi-metric space, the distance between two points could be zero even when the points are distinct."
3
"The concept of a semi-metric space is useful in certain areas of mathematics."
4
"A semi-metric space does not satisfy all the properties of a metric space."
5
"Topology studies properties of spaces, including semi-metric spaces."
6
"A semi-metric space can be thought of as a relaxed version of a metric space."
7
"In a semi-metric space, the triangular inequality may not hold."
8
"A semi-metric space can have more than one point at zero distance from a given point."
9
"The concept of compactness can be defined in the context of semi-metric spaces."
10
"The notion of convergence is defined differently in a semi-metric space compared to a metric space."
11
"A semi-metric space is sometimes called a pseudometric space."
12
"A semi-metric space provides a way to measure the similarity between objects."
13
"The study of semi-metric spaces is an active research area in mathematics."
14
"Some properties of metric spaces, such as completeness, may not hold in a semi-metric space."
15
"In a semi-metric space, the distance function may not be symmetric."
16
"The study of semi-metric spaces has connections to graph theory and network analysis."
1
"A semi-metric space is a generalization of the concept of a metric space."
2
"In a semi-metric space, the distance between two points can be zero even if the points themselves are not identical."
3
"The notion of a semi-metric space is widely used in various areas of mathematics and computer science."
4
"In a semi-metric space, the triangle inequality may not hold for all pairs of points."
5
"Topological properties such as openness and compactness can be defined in semi-metric spaces."
6
"The concept of a semi-metric space is closely related to that of a pseudo-metric space."
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