Ε-net (metric spaces) | Wikipedia audio article
Channel: wikipedia tts
Date: 17/05/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Delone_set


00:00:33 1 Definitions
00:01:58 2 Construction of ε-nets
00:03:39 3 Applications
00:03:48 3.1 Coding theory
00:04:33 3.2 Approximation algorithms
00:06:01 3.3 Crystallography
00:06:52 4 See also



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SUMMARY
=======
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 in coding theory, approximation algorithms, and the theory of quasicrystals.