floaters
发表于 2025-3-23 11:37:25
https://doi.org/10.33283/978-3-86298-640-8Whereas the considerations of the first chapter were essentially combinatorial in character, we begin now with measuring convex polytopes and polyhedral cones. In Section 2.1 we deal briefly with invariant measures, as needed later.
Parabola
发表于 2025-3-23 17:38:15
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郊外
发表于 2025-3-23 21:20:54
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飞来飞去真休
发表于 2025-3-23 23:25:12
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Plaque
发表于 2025-3-24 03:32:45
Angle functions,Whereas the considerations of the first chapter were essentially combinatorial in character, we begin now with measuring convex polytopes and polyhedral cones. In Section 2.1 we deal briefly with invariant measures, as needed later.
aggressor
发表于 2025-3-24 07:48:13
Relations to spherical geometry,Whereas the considerations of the first chapter were essentially combinatorial in character, we begin now with measuring convex polytopes and polyhedral cones. In Section 2.1 we deal briefly with invariant measures, as needed later.
Tempor
发表于 2025-3-24 14:01:51
Central hyperplane arrangements and induced cones,The subsequent sections of this chapter deal with random cones generated by random central hyperplane arrangements. This topic was initiated a long time ago by Cover and Efron . Their work is expanded considerably in Sections 5.3–5.5.
关心
发表于 2025-3-24 15:28:21
Convex hypersurfaces adapted to cones,In this chapter, the viewpoint is distinctly different. We still start with a pointed closed convex cone . with interior points. But our main interest will be in convex hypersurfaces, namely boundaries of closed convex sets, in this cone, whose behavior at infinity is determined by the cone.
patriot
发表于 2025-3-24 19:58:16
Appendix: Open questions,We have occasionally mentioned open questions, and in this Appendix we want to repeat them and present them as a brief collection, for the reader’s convenience.
Bronchial-Tubes
发表于 2025-3-25 02:48:49
https://doi.org/10.1007/978-3-031-15127-9valuation; conic support measure; Grassmann angle; Master Steiner formula; central hyperplane tessellati