retort 发表于 2025-3-21 19:32:12
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Facts from General Topologyts when they are needed..The present chapter deals with topological notions and results, including some basic facts on Borel measures. Invariant measures are the topic of Chapter 13, and the necessary material from convex geometry is presented in Chapter 14.无政府主义者 发表于 2025-3-22 03:56:42
Facts from Convex Geometry the basic facts about the most important of these functionals, the rigid motion invariant intrinsic volumes, and their local counterparts, the curvature measures. In Section 14.4 we provide general information about additive functionals, as far as needed.不透明 发表于 2025-3-22 07:02:00
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1431-7028of stochastic geometry as well as of the tools from integra.Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-worl袭击 发表于 2025-3-22 13:43:33
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Point Processesmissible set classes suitably. One possibility consists in considering sets which are generated as the union set of a countable family of simpler sets, such as compact sets, convex bodies, curves, lines, or flats. The appropriate notion for randomizing such families is that of a point process in a s–LOUS 发表于 2025-3-22 23:10:30
Geometric Modelsic processes we understand point processes of closed sets which are concentrated on geometrically distinguished subclasses of .. In particular, we consider particle processes and flat processes. . are point processes in the subset . of nonempty compact sets. Special processes, in general more tracta前面 发表于 2025-3-23 05:27:00
Averaging with Invariant MeasuresEuclidean spaces, there arises the need for a theory allowing averaging with respect to invariant measures. Integral geometry in the sense of Blaschke and Santaló is perfectly made for obtaining such averaging formulas. In this chapter we develop the basic tools, namely intersection formulas for fixBRAWL 发表于 2025-3-23 06:46:44
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