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SIAMDM
2008
69views more  SIAMDM 2008»
14 years 4 days ago
Labeled Partitions and the q-Derangement Numbers
Inspired by MacMahon's original proof of his celebrated theorem on the distribution of the major index over permutations, we give a reformulation of his argument in terms of l...
William Y. C. Chen, Deheng Xu
DCG
2010
53views more  DCG 2010»
14 years 22 days ago
A Revision of the Proof of the Kepler Conjecture
Abstract. The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. Th...
Thomas C. Hales, John Harrison, Sean McLaughlin, T...
DLT
2007
14 years 2 months ago
The Dynamics of Cellular Automata in Shift-Invariant Topologies
Abstract. We study the dynamics of cellular automata, and more specifically their transitivity and expansivity, when the set of configurations is endowed with a shift-invariant (p...
Laurent Bienvenu, Mathieu Sablik
CIE
2008
Springer
14 years 2 months ago
The Relative Consistency of the Axiom of Choice - Mechanized Using Isabelle/ZF
The proof of the relative consistency of the axiom of choice has been mechanized using Isabelle/ZF, building on a previous mechanization of the reflection theorem. The heavy relia...
Lawrence C. Paulson