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Delone set

In the mathematical theory of metric spaces, ε-nets, ε-packings, ε-coverings, uniformly discrete sets, relatively dense sets, and Delone sets (named after Boris Delone) are several closely related definitions of well-spaced sets of points, and the packing radius and covering radius of these sets measure how well-spaced they are. These sets have…

Applications, Construction of ε-nets & Definitions

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Definitions

Construction of ε-nets

Applications

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Map overview Semantic statistics

Delone set

Nodes42
Edges41
Triples22
Avg. degree1.95
Density0.047619
Components1

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Delone set

Top relations

related to Crystallography · 10
Delone set → Delone, Equivalently, Euclidean, For, Meyer, Minkowski, Penrose, The Voronoi, They, Yves Meyer
related to Construction of ε-nets · 9
Delone set → As, Delone, Euclidean, For, Gonzalez, However, In, Teo Gonzalez, This
related to External links · 2
Delone set → Delone, Tilings Encyclopedia
is a · 1
Delone set → set that is both uniformly discrete and relatively dense

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Important terminology

points sets set delone radius point ε-net construct theory space metric spaces packing covering approximation algorithms distance uniformly discrete relatively

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Delone setis aset that is both uniformly discrete and relatively dense0.90text
Delone setrelated to Construction of ε-netsAs0.60section
Delone setrelated to Construction of ε-netsDelone0.60section
Delone setrelated to Construction of ε-netsHowever0.60section
Delone setrelated to Construction of ε-netsFor0.60section
Delone setrelated to Construction of ε-netsEuclidean0.60section
Delone setrelated to Construction of ε-netsTeo Gonzalez0.60section
Delone setrelated to Construction of ε-netsThis0.60section
Delone setrelated to Construction of ε-netsIn0.60section
Delone setrelated to Construction of ε-netsGonzalez0.60section
Delone setrelated to CrystallographyFor0.60section
Delone setrelated to CrystallographyEuclidean0.60section

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