03445nam 2200481 450 99649027140331620231110214937.03-031-15127-5(CKB)5850000000078333(MiAaPQ)EBC7102080(Au-PeEL)EBL7102080(PPN)264952626(EXLCZ)99585000000007833320230225d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierConvex cones geometry and probability /Rolf SchneiderCham, Switzerland :Springer,[2022]©20221 online resource (352 pages)Lecture Notes in Mathematics ;v.23193-031-15126-7 Includes bibliographical references and index.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 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.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.Lecture Notes in Mathematics Convex bodiesCossos convexosthubLlibres electrònicsthubConvex bodies.Cossos convexos929.605Schneider Rolf1940-1140742MiAaPQMiAaPQMiAaPQBOOK996490271403316Convex cones3018498UNISA03374nam 2200385z- 450 991068949900332120161209095837.0(CKB)5860000000031479(BIP)006473177(EXLCZ)99586000000003147920220406c2000uuuu -u- -engProhibition of interstate movement of live birds for animal fighting hearing before the Committee on Agriculture, House of Representatives, One Hundred Sixth Congress, second session, on H.R. 1275, September 13, 2000Washington, D.C.: G.P.O.1 online resource (471 p.) 0-16-061222-5 Michael Pillsbury's new book ... is must reading for every executive of every Western firm doing business in China, and every Member of Congress.... Readers will be impressed ... by China's ambitions in space, information warfare, stealth, and robots, in future warfare.... No one with serious interests in East Asia can afford not to have read this book." Robert Ellsworth, Former Deputy Defense Secretary "American relations with the People's Republic of China have now become the single most critical bilateral relationship in the world. On it rests the stability of East Asia, and it represents the most significant challenge to the effectiveness of U.S. foreign policy, Yet far too little is known about China, and in particular how the Chinese military think about the future. Michael Pillsbury has performed a signal service in selecting, translating, and interpreting these revealing and hard-to-obtain writings by senior Chinese officers, The reader is in for a surprise. Rather than parading the tired slogans of People's War, these analysts examine a military future marked by 'information deterrence', 'crippling attacks on information systems' and similar notions and by a search for 'new measures of effectiveness.' The future remains uncertain, but the best preparation--- as Sun Tzu might say--- is to understand the mind of those with whom we must deal." James Schlesinger, Former Director of Central Intelligence and Former Secretary of Defense "This book reflects the keen interest that its sponsor, the Director of Net Assessment, Andy Marshall, has shown in Chinese views of a potential revolution in military affairs. The translation and publication of these articles enhance our understanding of how some of China's authoritative military strategists see the revolution in military affairs in the 21st century." William Perry Former Secretary of DefenseProhibition of interstate movement of live birds for animal fighting CockfightingLaw and legislationUnited StatesBirdsTransportationLaw and legislationUnited StatesAnimalsTransportationLaw and legislationUnited StatesChinaMilitary art and scienceTwenty-first centuryHistoryTechnology & engineeringSocial scienceCockfightingLaw and legislationBirdsTransportationLaw and legislationAnimalsTransportationLaw and legislation355.02/09/05BOOK9910689499003321Prohibition of interstate movement of live birds for animal fighting4231535UNINA