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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
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Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets

Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets

Pallaschke, Diethard Ernst
Urbanski, R.

Hardcover

Series: Mathematics and Its Applications, Book 548

Medical ReferenceGeneral MathematicsGeometry

ISBN10: 1402009380
ISBN13: 9781402009389
Publisher: Springer Nature
Published: Oct 31 2002
Pages: 295
Weight: 1.50
Height: 0.73 Width: 6.28 Depth: 9.98
Language: English
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]).

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