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Separation of a finite set in ℝdby spanned hyperplanes

✍ Scribed by Yaakov S. Kupitz


Publisher
Springer-Verlag
Year
1993
Tongue
English
Weight
488 KB
Volume
13
Category
Article
ISSN
0209-9683

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On the number of flats spanned by a set
✍ Endre Boros; Roy Meshulam 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 116 KB

It is shown that for fixed 1 ~ 0, if X C PG (d, q) contains (1 + ~)q~ points, then the number of r-fiats spanned by X is at least C(r.)q (r+l)ts+l-r), i.e. a positive fraction of the number of r-fiats in PG(s + 1,q).