Titlebook: Lectures on Sphere Arrangements – the Discrete Geometric Side; Károly Bezdek Book 2013 Springer International Publishing Switzerland 2013

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Károly Bezdekdjustment and debt management strategies. The question should not be whether such states have sufficient political will to make hard adjustment decisions; rather, the question is, given that adjustment is unavoidable, how can we explain the selection and implementation of two complementary adjustmen

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Károly Bezdekdjustment and debt management strategies. The question should not be whether such states have sufficient political will to make hard adjustment decisions; rather, the question is, given that adjustment is unavoidable, how can we explain the selection and implementation of two complementary adjustmen

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Unit Sphere Packings,e emphases are on the following five topics: the contact number problem (generalizing the problem of kissing numbers), lower bounds for Voronoi cells (studying Voronoi cells from volumetric point of view), dense sphere packings in Euclidean 3-space (studying a strong version of the Kepler conjecture

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Contractions of Sphere Arrangements,res. The research on this fundamental topic started with the conjecture of E. T. Poulsen and M. Kneser in the late 1950s. In this chapter we survey the status of the long-standing Kneser–Poulsen conjecture in Euclidean as well as in non-Euclidean spaces.

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Proofs on Contractions of Sphere Arrangements,r dimensional. Second, we prove an analogue of the Kneser–Poulsen conjecture for hemispheres in spherical .-space. Third, we give a proof of a Kneser–Poulsen-type theorem for convex polyhedra in hyperbolic 3-space.

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