{"product_id":"pairs-of-compact-convex-sets-fractional-arithmetic-with-convex-sets-von-diethard-ernst-pallaschke-r-urbanski","title":"Pairs of Compact Convex Sets","description":"\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\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781402009389\"\u003e\u003ch3\u003eFractional Arithmetic with Convex Sets\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789048161492\"\u003e\u003ch3\u003eFractional Arithmetic with Convex Sets\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9781402009389","offer_id":51077810438,"sku":"9781402009389","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9789048161492","offer_id":39416588795997,"sku":"9789048161492","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/8d1f8887-e928-4ed7-b2c0-61d91d6d4de3.jpg?v=1772088638","url":"https:\/\/shop.autorenwelt.de\/products\/pairs-of-compact-convex-sets-fractional-arithmetic-with-convex-sets-von-diethard-ernst-pallaschke-r-urbanski","provider":"Autorenwelt Shop","version":"1.0","type":"link"}