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CASC
2015
Springer
23views Mathematics» more  CASC 2015»
8 years 8 months ago
Janet Bases and Resolutions in CoCoALib
Abstract. Recently, the authors presented a novel approach to computing resolutions and Betti numbers using Pommaret bases. For Betti numbers, this algorithm is for most examples m...
Mario Albert, Matthias Fetzer, Werner M. Seiler
CASC
2015
Springer
24views Mathematics» more  CASC 2015»
8 years 8 months ago
Quasi-Steady State - Intuition, Perturbation Theory and Algorithmic Algebra
This survey of mathematical approaches to quasi-steady state (QSS) phenomena provides an analytical foundation for an algorithmicalgebraic treatment of the associated (parameter-de...
Alexandra Goeke, Sebastian Walcher, Eva Zerz
CASC
2015
Springer
40views Mathematics» more  CASC 2015»
8 years 8 months ago
Automated Reasoning in Reduction Rings Using the Theorema System
Abstract. In this paper we present the computer-supported theory exploration, including both formalization and verification, of a theory in commutative algebra, namely the theory ...
Alexander Maletzky
CASC
2015
Springer
20views Mathematics» more  CASC 2015»
8 years 8 months ago
A Standard Basis Free Algorithm for Computing the Tangent Cones of a Space Curve
We outline a method for computing the tangent cone of a space curve at any of its points. We rely on the theory of regular chains and Puiseux series expansions. Our approach is nov...
Parisa Alvandi, Marc Moreno Maza, Éric Scho...