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[null,"1.","Record Nr.",null,"UNINA990000973660403321"]
[null,null,"Autore",null,"CERN School of physics : <1982"]
[null,null,"Titolo",null,"1982 CERN School of physics : Cambridge, UK 5-18 June 1982 : proceedings"]
[null,null,"Pubbl/distr/stampa",null,"Geneva : CERN, 1983"]
[null,null,"Descrizione fisica",null,"ix, 304 p. ; 30 cm"]
[null,null,"Disciplina",null,"530.143"]
[null,null,"Locazione",null,"FI1"]
[null,null,"Collocazione",null,"22B-019.013"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","In testa al front.: CERN Organisation Européenne pour la Recherche Nucléaire, European Organization for Nuclear Research."]
[null,"2.","Record Nr.",null,"UNISA996490271403316"]
[null,null,"Autore",null,"Schneider Rolf <1940->"]
[null,null,"Titolo",null,"Convex cones : geometry and probability / / Rolf Schneider"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"3-031-15127-5"]
[null,null,"Descrizione fisica",null,"1 online resource (352 pages)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics ; ; v.2319"]
[null,null,"Disciplina",null,"929.605"]
[null,null,"Soggetti",null,"Convex bodies"]
[{"$nulls":4},"Cossos convexos"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- 1 Basic notions and facts -- 1.1 Notation and prerequisites -- 1.2 Incidence algebras -- 1.3 Convex cones -- 1.4 Polyhedra -- 1.5 Recession cones -- 1.6 Valuations -- 1.7 Identities for characteristic functions -- 1.8 Polarity as a valuation -- 1.9 A characterization of polarity -- 2 Angle functions -- 2.1 Invariant measures -- 2.2 Angles -- 2.3 Conic intrinsic volumes and Grassmann angles -- 2.4 Polyhedral Gauss-Bonnet theorems -- 2.5 A tube formula for compact general polyhedra -- 3 Relations to spherical geometry -- 3.1 Basic facts -- 3.2 The gnomonic map -- 3.3 Spherical and conic valuations -- 3.4 Inequalities in spherical space -- 4 Steiner and kinematic formulas -- 4.1 A general Steiner formula for polyhedral cones -- 4.1.1 The local Gaussian Steiner formula -- 4.1.2 The local spherical Steiner formula -- 4.2 Support measures of general convex cones -- 4.3 Kinematic formulas -- 4.4 Concentration of the conic intrinsic volumes -- 4.5 Inequalities and monotonicity properties -- 4.6 Observations about the conic support measures -- 5 Central hyperplane arrangements and induced cones -- 5.1 The Klivans-Swartz formula -- 5.2 Absorption probabilities via central arrangements -- 5.3 Random cones generated by central arrangements -- 5.4 Volume weighted Schl¨afli cones -- 5.5 Typical faces -- 5.6 Intersections of random cones -- 6 Miscellanea on random cones -- 6.1 Random projections -- 6.2 Gaussian images of cones -- 6.3 Wendel probabilities in high dimensions -- 6.4 Donoho-Tanner cones in high dimensions -- 6.5 Cover-Efron cones in high dimensions -- 6.6 "]
[{"$nulls":4},"Random cones in halfspaces -- 7 Convex hypersurfaces adapted to cones -- 7.1 Coconvex sets -- 7.2 Mixed volumes involving bounded coconvex sets -- 7.3 Wulff shapes in cones -- 7.4 A Minkowski-type existence theorem -- 7.5 A Brunn-Minkowski theorem for coconvex sets."]
[{"$nulls":4},"7.6 Mixed volumes of general coconvex sets -- 7.7 Minkowski's theorem for general coconvex sets -- 7.8 The cone-volume measure -- 8 Appendix: Open questions -- References -- Notation Index -- Author Index -- Subject Index."]