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On a problem posed by Pauli

✍ Scribed by B. Z. Moroz; A. M. Perelomov

Book ID: 112476885
Publisher: SP MAIK Nauka/Interperiodica
Year: 1994
Tongue: English
Weight: 230 KB
Volume: 101
Category: Article
ISSN: 0040-5779
DOI: 10.1007/bf01079256

No coin nor oath required. For personal study only.

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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;