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» On value sets of polynomials over a field
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ISSAC
2004
Springer
94views Mathematics» more  ISSAC 2004»
15 years 3 months 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»
15 years 2 months 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
66
Voted
JCT
2008
67views more  JCT 2008»
14 years 10 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»
15 years 2 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
99
Voted
AISC
2008
Springer
15 years 6 days 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