Pairs of Compact Convex Sets - Fractional Arithmetic with Convex Sets (Paperback, Softcover reprint of hardcover 1st ed. 2003)

Pairs of compact convex sets arise in the quasidifferential calculus of V.F. Demyanov and A.M. Rubinov as sub- and superdifferentials of quasidifferen- tiable functions (see [26]) and in the formulas for the numerical evaluation of the Aumann-Integral which were recently introduced in a series of papers by R. Baier and F. Lempio (see [4], [5], [10] and [9]) and R. Baier and E.M. Farkhi [6], [7], [8]. In the field of combinatorial convexity G. Ewald et al. [36] used an interesting construction called virtual polytope, which can also be represented as a pair of polytopes for the calculation of the combinatorial Picard group of a fan. Since in all mentioned cases the pairs of compact con- vex sets are not uniquely determined, minimal representations are of special to the existence of minimal pairs of compact importance. A problem related convex sets is the existence of reduced pairs of convex bodies, which has been studied by Chr. Bauer (see [14]).

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 548
Release date:	December 2010
First published:	2003
Authors:	Diethard Ernst Pallaschke • R. Urbanski
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Paperback
Pages:	295
Edition:	Softcover reprint of hardcover 1st ed. 2003
ISBN-13:	978-90-481-6149-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Optimization > General Promotions
LSN:	90-481-6149-5
Barcode:	9789048161492

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