The number of partitions of a set of N points in k dimensions induced by hyperplanes
1967 ◽
Vol 15
(4)
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pp. 285-289
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1. An arbitrary (k– 1)-dimensional hyperplane disconnects K-dimensional Euclidean space Ek into two disjoint half-spaces. If a set of N points in general position in Ek is given [nok +1 in a (k–1)-plane, no k in a (k–2)-plane, and so on], then the set is partitione into two subsets by the hyperplane, a point belonging to one or the other subset according to which half-space it belongs to; for this purpose the half-spaces are considered as an unordered pair.
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1975 ◽
Vol 18
(3)
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pp. 335-346
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1961 ◽
Vol 12
(3)
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pp. 123-131
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Keyword(s):
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1998 ◽
Vol 08
(03)
◽
pp. 365-379
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2018 ◽
Vol 50
(9)
◽
pp. 1-24
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