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» Solving Parametric Algebraic Systems
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ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
15 years 3 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
78
Voted
IPPS
2000
IEEE
15 years 2 months ago
A Framework for Embedded Real-Time System Design
This paper describes a framework for parametric analysis of real-time systems based on process algebra. The Algebra of Communicating Shared Resources ACSR has been extended to AC...
Jin-Young Choi, Hee-Hwan Kwak, Insup Lee
74
Voted
CC
2005
Springer
115views System Software» more  CC 2005»
15 years 3 months ago
Experiences with Enumeration of Integer Projections of Parametric Polytopes
Abstract. Many compiler optimization techniques depend on the ability to calculate the number of integer values that satisfy a given set of linear constraints. This count (the enum...
Sven Verdoolaege, Kristof Beyls, Maurice Bruynoogh...
DCC
2008
IEEE
15 years 9 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev
79
Voted
AIED
2007
Springer
15 years 4 months ago
Benefits of Handwritten Input for Students Learning Algebra Equation Solving
Building on past results establishing a benefit for using handwriting when entering mathematics on the computer, we hypothesize that handwriting as an input modality may be able to...
Lisa Anthony, Jie Yang, Kenneth R. Koedinger