{"product_id":"pairs-of-compact-convex-sets-fractional-arithmetic-with-convex-sets-9781402009389","title":"Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets","description":"\u003cp\u003e • Author(s): Diethard Ernst Pallaschke\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Geometry - Analytic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003ePairs 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]).\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45032826765463,"sku":"9781402009389","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781402009389.webp?v=1767262205","url":"https:\/\/atlanticbooks.com\/products\/pairs-of-compact-convex-sets-fractional-arithmetic-with-convex-sets-9781402009389","provider":"Atlantic Books","version":"1.0","type":"link"}