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IPL
2008
13 years 10 months ago
2008
The Chernoff-Hoeffding bounds are fundamental probabilistic tools. An elementary approach is presented to obtain a Chernoff-type upper-tail bound for the number of prime factors o...
DM
2007
13 years 10 months ago
2007
In this paper, we obtain some new results R(5, 12) 848, R(5, 14) 1461, etc., and we obtain new upper bound formulas for Ramsey numbers with parameters. © 2006 Published by Elsevi...
EJC
2007
13 years 10 months ago
2007
We give an extension of the lower bound of [9] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp-index version of the p...
ENDM
2007
13 years 10 months ago
2007
We show that the number of maximal sum-free subsets of {1, 2, . . . , n} is at most 23n/8+o(n) . We also show that 20.406n+o(n) is an upper bound on the number of maximal product-...
JNS
2007
13 years 10 months ago
2007
Abstract. This paper examines the bifurcation and structure of the bifurcated solutions of the two-dimensional infinite Prandtl number convection problem. The existence of a bifur...