Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets (Mathematics and Its Applications 548)
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Diethard Ernst Pallaschke (Author) R. Urbanski (Author)
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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]). XII, 295 p.
More Details
- Contributor: Diethard Ernst Pallaschke
- Imprint: Springer-Verlag New York Inc.
- ISBN13: 9781402009389
- Number of Pages: 295
- Packaged Dimensions: 156x234mm
- Packaged Weight: 1360
- Format: Hardback
- Publisher: Springer-Verlag New York Inc.
- Release Date: 2002-10-31
- Series: Mathematics and Its Applications
- Binding: Hardback
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