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Separation of sets by derivatives

✍ Scribed by M. Laczkovich


Publisher
Akadmiai Kiad
Year
1976
Tongue
English
Weight
917 KB
Volume
27
Category
Article
ISSN
1588-2632

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Given finite disjoint sets { }, = 1, …, in Euclidean n-space, a general problem with numerous applications is to find simple nontrivial functions () which separate the sets { } in the sense that () ≀ () for all βŠ‚ and β‰  = 1, …, This can always be done (e.g., with the piecewise linear function obtaine