dilate
发表于 2025-3-21 18:02:59
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ironic
发表于 2025-3-21 20:33:42
Lower Bounds for the Packing Densities of Spheres,ant and interesting. In 1905, by studying positive definite quadratic forms, Minkowski proved . where . is the Riemann zeta function, and made a general conjecture for bounded .. Forty years later his conjecture was proved by Hlawka . In this section we prove the Minkowski-Hlawka theorem for
Lipohypertrophy
发表于 2025-3-22 03:21:42
Sphere Packings Constructed from Codes,enience, we say that a codeword or point is of type [.∣.∣⋯] if . = ∣.∣ for . choices of ., . = ∣. for [itl} choices of ., etc. The . between two codewords . and . of . is the number of coordinates at which they differ, and is denoted by ‖., .‖.. The . of a codeword ., .(.), is the number of its nonz
Thyroid-Gland
发表于 2025-3-22 08:08:34
Upper Bounds for the Packing Densities and the Kissing Numbers of Spheres I,be a packing and let . be a number such that . > 1. Then, replace the spheres . + x, where x ∈ ., by . + x and fill each of these new spheres with a certain 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,
不知疲倦
发表于 2025-3-22 09:53:00
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啤酒
发表于 2025-3-22 15:17:48
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inspired
发表于 2025-3-22 19:06:42
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GRAIN
发表于 2025-3-23 01:02:44
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表示向前
发表于 2025-3-23 01:51:38
Finite Sphere Packings,be a unit vector in .. Then, we define ., it can be regarded as a local density of . + . in .,.. By routine computation it follows that . Based on this observation, in 1975 L. Fejes Tóth made the following conjecture about the volume case of the above problem.
Hamper
发表于 2025-3-23 07:00:40
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