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» On Coherence in Computer Algebra
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ICMS
2010
13 years 7 months ago
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one su...
Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv&e...
CORR
2006
Springer
98views Education» more  CORR 2006»
13 years 9 months ago
A field-theory motivated approach to symbolic computer algebra
Field theory is an area in physics with a deceptively compact notation. Although general purpose computer algebra systems, built around generic list-based data structures, can be ...
Kasper Peeters
CORR
2007
Springer
110views Education» more  CORR 2007»
13 years 8 months ago
Computer algebra in systems biology
Systems biology focuses on the study of entire biological systems rather than on their individual components. With the emergence of high-throughput data generation technologies for...
Reinhard C. Laubenbacher, Bernd Sturmfels
COMPGEOM
2005
ACM
13 years 10 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
ARITH
2005
IEEE
13 years 10 months ago
Error-Free Computation of 8x8 2-D DCT and IDCT Using Two-Dimensional Algebraic Integer Quantization
This paper presents a novel error-free (infinite-precision) architecture for the fast implementation of both 2-D Discrete Cosine Transform and Inverse DCT. The architecture uses a...
Khan Wahid, Vassil S. Dimitrov, Graham A. Jullien