Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Schriftenreihe: | Mathematics and Its Applications
548 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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]) |
| Beschreibung: | 1 Online-Ressource (XII, 295 p) |
| ISBN: | 9789401599207 9789048161492 |
| DOI: | 10.1007/978-94-015-9920-7 |
Internformat
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| 500 | |a 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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Datensatz im Suchindex
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| dewey-full | 516.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.1 |
| dewey-search | 516.1 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-9920-7 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9789401599207 9789048161492 |
| language | English |
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| spelling | Pallaschke, Diethard Verfasser aut Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets by Diethard Pallaschke, Ryszard Urbański Dordrecht Springer Netherlands 2002 1 Online-Ressource (XII, 295 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 548 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]) Mathematics Discrete groups Mathematical optimization Convex and Discrete Geometry Optimization Mathematik Kompakte konvexe Menge (DE-588)4164844-4 gnd rswk-swf Kompakte konvexe Menge (DE-588)4164844-4 s 1\p DE-604 Urbański, Ryszard Sonstige oth https://doi.org/10.1007/978-94-015-9920-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pallaschke, Diethard Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets Mathematics Discrete groups Mathematical optimization Convex and Discrete Geometry Optimization Mathematik Kompakte konvexe Menge (DE-588)4164844-4 gnd |
| subject_GND | (DE-588)4164844-4 |
| title | Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets |
| title_auth | Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets |
| title_exact_search | Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets |
| title_full | Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets by Diethard Pallaschke, Ryszard Urbański |
| title_fullStr | Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets by Diethard Pallaschke, Ryszard Urbański |
| title_full_unstemmed | Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets by Diethard Pallaschke, Ryszard Urbański |
| title_short | Pairs of Compact Convex Sets |
| title_sort | pairs of compact convex sets fractional arithmetic with convex sets |
| title_sub | Fractional Arithmetic with Convex Sets |
| topic | Mathematics Discrete groups Mathematical optimization Convex and Discrete Geometry Optimization Mathematik Kompakte konvexe Menge (DE-588)4164844-4 gnd |
| topic_facet | Mathematics Discrete groups Mathematical optimization Convex and Discrete Geometry Optimization Mathematik Kompakte konvexe Menge |
| url | https://doi.org/10.1007/978-94-015-9920-7 |
| work_keys_str_mv | AT pallaschkediethard pairsofcompactconvexsetsfractionalarithmeticwithconvexsets AT urbanskiryszard pairsofcompactconvexsetsfractionalarithmeticwithconvexsets |