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ACS
2008
13 years 7 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 7 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
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
1998
Springer
13 years 11 months ago
Real Parametrization of Algebraic Curves
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....
J. Rafael Sendra, Franz Winkler
TYPES
2000
Springer
13 years 11 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg