๐”– Bobbio Scriptorium
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A problem posed

โœ Scribed by Kenneth S. Friedman


Book ID
105072189
Publisher
Springer US
Year
1975
Tongue
English
Weight
122 KB
Volume
5
Category
Article
ISSN
0015-9018

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Theorem (See [3] for a proof and definitions). Let S c lPd be Q set of at least (d + l)(r -1) + (k + I) strongly independent points, where 0 6 k G d. Then S has a partition S=SU-US' so that the k-dimensional volume V(k) = ~01&&l conv Si] satisfies V(k) > 0. If (r, k) = (2,0) this is Radon's theorem;