A combinatorial property of points and ellipsoids

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Abstract

For each d≥1 there is a constant cd>0 such that any finite set X⊂Rd contains a subset YχX, |Y|≤[1/4 d(d+3)]+1 having the following property: if E⊃Y is an ellipsoid, then |E ν X|≥cd |X|. © 1990 Springer-Verlag New York Inc.

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APA

Bárány, I., & Larman, D. G. (1990). A combinatorial property of points and ellipsoids. Discrete & Computational Geometry, 5(1), 375–382. https://doi.org/10.1007/BF02187798

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