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An Effective Carathéodory Theorem

✍ Scribed by Timothy H. McNicholl


Publisher
Springer
Year
2011
Tongue
English
Weight
387 KB
Volume
50
Category
Article
ISSN
1433-0490

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The following theorem is lproved. If the sets VI, . . . , Vn+, CR" and a E fly:: conv Vi, then there exist elements ui E Vi (i = 1, . . . , n + 1) such that a E conv{o,, . . . , un+J. Thii is a generalization of Carathtidory's theorem. By applying this and similar results some open questions are ans