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» On Coherence in Computer Algebra
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104
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ISSAC
2005
Springer
141views Mathematics» more  ISSAC 2005»
15 years 6 months ago
Algebraic general solutions of algebraic ordinary differential equations
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For an autonomous first order ODE, we give an optimized bo...
J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao
COMPUTING
2004
108views more  COMPUTING 2004»
15 years 14 days ago
Fairness Criteria for Algebraic Curves
We develop methods for the variational design of algebraic curves. Our approach is based on truly geometric fairness criteria, such as the elastic bending energy. In addition, we ...
Pavel Chalmovianský, Bert Jüttler
96
Voted
IJAC
2002
128views more  IJAC 2002»
15 years 11 days ago
Computational Complexity of Generators and Nongenerators in Algebra
Abstract. We discuss the computational complexity of several problems concerning subsets of an algebraic structure that generate the structure. We show that the problem of determin...
Clifford Bergman, Giora Slutzki
94
Voted
ISIPTA
2003
IEEE
15 years 5 months ago
Convenient Interactive Computing for Coherent Imprecise Prevision Assessments
A generalization of deFinetti’s Fundamental Theorem of Probability facilitates coherent assessment, by iterated natural extension, of imprecise probabilities or expectations, co...
James Dickey
LREC
2008
141views Education» more  LREC 2008»
15 years 2 months ago
Centering Theory for Evaluation of Coherence in Computer-Aided Summaries
This paper investigates a new evaluation method for assessing the coherence of computer-aided summaries, justified by the inappropriacy of existing evaluation methods for this tas...
Laura Hasler