Diethard Ernst Pallaschke

(Author)

Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (2003)Hardcover - 2003, 31 October 2002

Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (2003)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
295 pages
Language
English
Publisher
Springer
Date Published
31 Oct 2002
ISBN-10
1402009380
ISBN-13
9781402009389

Description

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]).

Product Details

Authors:
Diethard Ernst PallaschkeR Urbanski
Book Edition:
2003
Book Format:
Hardcover
Country of Origin:
US
Date Published:
31 October 2002
Dimensions:
25.35 x 15.95 x 1.85 cm
ISBN-10:
1402009380
ISBN-13:
9781402009389
Language:
English
Location:
Dordrecht
Pages:
295
Publisher:
Weight:
680.39 gm

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