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» On Coherence in Computer Algebra
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ISM
2006
IEEE
113views Multimedia» more  ISM 2006»
14 years 2 months ago
Individualization and Flexibility through Computer Algebra Systems in Virtual Laboratories
Virtual labs enable field specific experiments and open them for collaborative and distributed usage. In order to realize comprehensive laboratory set-ups providing a scientifi...
Sabina Jeschke, Thomas Richter
COMPGEOM
1989
ACM
14 years 28 days ago
Computing the Irreducible Real Factors and Components of an Algebraic Curve
We present algorithms that decompose an algebraic curve with rational coefficients in its defining bivariate equation into its irreducible real factors and its non-empty irreducib...
Erich Kaltofen
CSC
2006
13 years 10 months ago
Analytical solution of problems in heat transfer for pyramidal spines using Computer Algebra
: The solution of the equation of heat transfer for pyramidal spines is obtained using computer algebra software. We consider pyramidal spines with three different sectional areas:...
Juan Felipe Paschke, Juan Ospina
JC
2007
130views more  JC 2007»
13 years 8 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
AISC
2008
Springer
13 years 11 months ago
Effective Set Membership in Computer Algebra and Beyond
Abstract. In previous work, we showed the importance of distinguishing "I know that X = Y " from "I don't know that X = Y ". In this paper we look at effec...
James H. Davenport