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COMBINATORICS
2000
78views more  COMBINATORICS 2000»
13 years 5 months ago
Two New Extensions of the Hales-Jewett Theorem
: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a finitary case of Furstenberg and Katznelson's multiparameter elaboration...
Randall McCutcheon
NDJFL
2010
13 years 17 days ago
An Extension of van Lambalgen's Theorem to Infinitely Many Relative 1-Random Reals
Van Lambalgen's Theorem plays an important role in algorithmic randomness, especially when studying relative randomness. In this paper we extend van Lambalgen's Theorem ...
Kenshi Miyabe
JAT
2006
77views more  JAT 2006»
13 years 5 months ago
On extensions of a theorem of Baxter
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This ...
Jeffrey S. Geronimo, Andrei Martínez-Finkel...
EC
2006
163views ECommerce» more  EC 2006»
13 years 5 months ago
An Extension of Geiringer's Theorem for a Wide Class of Evolutionary Search Algorithms
The frequency with which various elements of the search space of a given evolutionary algorithm are sampled is affected by the family of recombination (reproduction) operators. Th...
Boris Mitavskiy, Jonathan E. Rowe
COMPGEOM
2007
ACM
13 years 9 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa