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» Numerical algebraic geometry and symbolic computation
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ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
14 years 2 months ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain
AB
2007
Springer
14 years 2 months ago
Algorithmic Algebraic Model Checking IV: Characterization of Metabolic Networks
A series of papers, all under the title of Algorithmic Algebraic Model Checking (AAMC), has sought to combine techniques from algorithmic algebra, model checking and dynamical syst...
Venkatesh Mysore, Bud Mishra
TOG
2012
237views Communications» more  TOG 2012»
11 years 11 months ago
An algebraic model for parameterized shape editing
We present an approach to high-level shape editing that adapts the structure of the shape while maintaining its global characteristics. Our main contribution is a new algebraic mo...
Martin Bokeloh, Michael Wand, Hans-Peter Seidel, V...
ACNS
2005
Springer
97views Cryptology» more  ACNS 2005»
14 years 2 months ago
Thompson's Group and Public Key Cryptography
Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established prot...
Vladimir Shpilrain, Alexander Ushakov
FCSC
2007
133views more  FCSC 2007»
13 years 8 months ago
Mathematics mechanization and applications after thirty years
The aim of mathematics mechanization is to develop symbolic algorithms for manipulating mathematical objects, proving and discovering theorems in a mechanical way. This paper gives...
Wenjun Wu, Xiaoshan Gao