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» On value sets of polynomials over a field
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ISSAC
2004
Springer
94views Mathematics» more  ISSAC 2004»
14 years 26 days ago
Algorithms for polynomial GCD computation over algebraic function fields
Let L be an algebraic function field in k ≥ 0 parameters t1, . . . , tk. Let f1, f2 be non-zero polynomials in L[x]. We give two algorithms for computing their gcd. The first,...
Mark van Hoeij, Michael B. Monagan
CDC
2009
IEEE
117views Control Systems» more  CDC 2009»
14 years 6 days ago
Information dissemination in networks via linear iterative strategies over finite fields
— Given an arbitrary network of interconnected nodes, each with an initial value from a discrete set, we consider the problem of distributively disseminating these initial values...
Shreyas Sundaram, Christoforos N. Hadjicostis
JCT
2008
67views more  JCT 2008»
13 years 7 months ago
On the number of directions determined by a pair of functions over a prime field
A three-dimensional analogue of the classical direction problem is proposed and an asymptotically sharp bound for the number of directions determined by a nonplanar set in AG(3, p)...
Simeon Ball, András Gács, Pét...
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 11 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
AISC
2008
Springer
13 years 9 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb