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Epsilon-approximations and epsilon-nets
Book chapter

Epsilon-approximations and epsilon-nets

Nabil Mustafa and Kasturi Varadarajan
Handbook of Discrete and Computational Geometry
Chapman and Hall/CRC, 3rd Edition
2017

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Abstract

The use of random samples to approximate properties of geometric configurations has been an influential idea for both combinatorial and algorithmic purposes. This chapter considers two related notions---$\epsilon$-approximations and $\epsilon$-nets---that capture the most important quantitative properties that one would expect from a random sample with respect to an underlying geometric configuration.
Cognitive Science Computer Science

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