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» On Coherence in Computer Algebra
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ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
15 years 10 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
ICTAC
2004
Springer
15 years 10 months ago
Combining Algebraic and Model-Based Test Case Generation
Abstract. The classical work on test case generation and formal methods focuses either on algebraic or model-based specifications. In this paper we propose an approach to derive t...
Li Dan, Bernhard K. Aichernig
ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
15 years 9 months ago
A probabilistic algorithm to test local algebraic observability in polynomial time
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the inp...
Alexandre Sedoglavic
CORR
2007
Springer
120views Education» more  CORR 2007»
15 years 4 months ago
Performance Analysis of Algebraic Soft-Decision Decoding of Reed-Solomon Codes
Title of dissertation: PERFORMANCE ANALYSIS OF ALGEBRAIC SOFT-DECISION DECODING OF REED-SOLOMON CODES Andrew Duggan, Masters of Science, 2006 Thesis directed by: Professor Alexand...
Andrew Duggan, Alexander Barg
CORR
1999
Springer
124views Education» more  CORR 1999»
15 years 4 months ago
An Algebraic Programming Style for Numerical Software and its Optimization
The abstract mathematical theory of partial differential equations (PDEs) is formulated in terms of manifolds,scalar fields, tensors, and the like, but these algebraic structures a...
T. B. Dinesh, Magne Haveraaen, Jan Heering