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» A General Polynomial Sieve
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ENTCS
2008
80views more  ENTCS 2008»
13 years 8 months ago
Boundedness of the Domain of Definition is Undecidable for Polynomial ODEs
Consider the initial-value problem with computable parameters dx dt = p(t, x) x(t0) = x0, where p : Rn+1 Rn is a vector of polynomials and (t0, x0) Rn+1 . We show that the proble...
Daniel S. Graça, Jorge Buescu, Manuel Lamei...
EJC
2006
13 years 8 months ago
Product representations of polynomials
For a fixed polyomial f Z[X], let k(N) denote the maximum size of a set A {1, 2, . . . , N} such that no product of k distinct elements of A is in the value set of f. In this pap...
Jacques Verstraëte
COMBINATORICS
2000
142views more  COMBINATORICS 2000»
13 years 8 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
Alexei Borodin, Grigori Olshanski
QEST
2006
IEEE
14 years 2 months ago
Exploring correctness and accuracy of solutions to matrix polynomial equations in queues
Spectral expansion and matrix analytic methods are important solution mechanisms for matrix polynomial equations. These equations are encountered in the steady-state analysis of M...
David Thornley, Harf Zatschler
MOR
2010
111views more  MOR 2010»
13 years 7 months ago
Generalized Domino-Parity Inequalities for the Symmetric Traveling Salesman Problem
We extend the work of Letchford (2000) by introducing a new class of valid inequalities for the traveling salesman problem, called the generalized domino-parity (GDP) constraints....
William J. Cook, Daniel G. Espinoza, Marcos Goycoo...