Concerto 发表于 2025-3-23 13:02:58
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http://reply.papertrans.cn/88/8743/874229/874229_12.png辩论的终结 发表于 2025-3-23 20:02:23
,The Gregory-Newton Problem and Kepler’s Conjecture, . ∈ .. For example, both the .-dimensional unit sphere . are centrally symmetric convex bodies. As usual, the interior, boundary volume, surface area, and diameter of . are denoted by int(.), bd(.), .(.), .(.), and .(.), respectively. Denoting the volume of . by ., it is well-known that . where Г(.) is the ..租约 发表于 2025-3-24 00:57:12
Upper Bounds for the Packing Densities and the Kissing Numbers of Spheres I,ertain amount of mass, of variable density, such that the total mass at any point of . does not exceed 1. Hence, the total mass of the spheres . + x, where x ∈ . ∩ (. − .) ., does not exceed the volume of the large cube .. In this way, Blichfeldt obtained the first significant upper bound for .(.).EVADE 发表于 2025-3-24 04:15:20
Multiple Sphere Packings,ng a .-fold packing and contained in .. Then analogously to the densities of classical sphere packings we define ., where the supremum is over all lattices Λ such that . + Λ is a .-fold lattice packing in ..莎草 发表于 2025-3-24 07:30:04
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al equations. End-of-chapter problems also offer scope for deeper understanding. The authors have incorporated in the text a number of new results which clarify978-1-4757-7167-1978-0-387-22625-5Series ISSN 0072-5285 Series E-ISSN 2197-5612存心 发表于 2025-3-24 19:08:26
ce, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on No978-1-4613-8491-5978-1-4613-8489-2Series ISSN 0940-6573 Series E-ISSN 2198-3224Robust 发表于 2025-3-25 00:51:30
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