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CASC
2006
Springer
410views Mathematics» more  CASC 2006»
13 years 10 months ago
A Symbolic-Numeric Approach to Tube Modeling in CAD Systems
In this note we present a symbolic-numeric method to the problem of tube modeling in CAD systems. Our approach is based on the Kirchhoff kinetic analogy which allows us to find ana...
Gerrit Sobottka, Andreas Weber 0004
CASC
2006
Springer
123views Mathematics» more  CASC 2006»
13 years 10 months ago
On Decomposition of Tame Polynomials and Rational Functions
Abstract. In this paper we present algorithmic considerations and theoretical results about the relation between the orders of certain groups associated to the components of a poly...
Jaime Gutierrez, David Sevilla
CASC
2006
Springer
106views Mathematics» more  CASC 2006»
13 years 10 months ago
Simplicial Perturbation Techniques and Effective Homology
In this paper, we deal with the problem of the computation of the homology of a finite simplicial complex after an "elementary simplicial perturbation" process such as th...
Rocío González-Díaz, Bel&eacu...
CASC
2006
Springer
128views Mathematics» more  CASC 2006»
13 years 10 months ago
New Domains for Applied Quantifier Elimination
We address various aspects of our computer algebra-based computer logic system redlog. There are numerous examples in the literature for successful applications of redlog to practi...
Thomas Sturm
CASC
2006
Springer
100views Mathematics» more  CASC 2006»
13 years 10 months ago
Reducing Computational Costs in the Basic Perturbation Lemma
Homological Perturbation Theory [11, 13] is a well-known general method for computing homology, but its main algorithm, the Basic Perturbation Lemma, presents, in general, high com...
Ainhoa Berciano, María José Jim&eacu...