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COMPGEOM
2007
ACM
14 years 2 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
ALGORITHMICA
2006
97views more  ALGORITHMICA 2006»
13 years 11 months ago
Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and Its Combination with Point Halving: Extensions and
Abstract. In this paper we prove the optimality and other properties of the -adic nonadjacent form: this expansion has been introduced in order to efficiently compute scalar multip...
Roberto Maria Avanzi, Clemens Heuberger, Helmut Pr...
CORR
2008
Springer
96views Education» more  CORR 2008»
13 years 11 months ago
A Sparse Flat Extension Theorem for Moment Matrices
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow [4] for truncated moment matrices. It applies to moment matrices indexed by an arbitrary s...
Monique Laurent, Bernard Mourrain
FOGA
1994
14 years 9 days ago
The Schema Theorem and Price's Theorem
Holland's Schema Theorem is widely taken to be the foundation for explanations of the power of genetic algorithms (GAs). Yet some dissent has been expressed as to its implica...
Lee Altenberg
IGPL
2008
124views more  IGPL 2008»
13 years 10 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli