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COMPUTING
2004
108views more  COMPUTING 2004»
13 years 7 months 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
IJAC
2007
73views more  IJAC 2007»
13 years 7 months ago
Computationally and Algebraically Complex Finite Algebra Membership Problems
In this paper we produce a finite algebra which generates a variety with a PSPACE-complete membership problem. We produce another finite algebra with a γ function that grows exp...
Marcin Kozik
ISSAC
2005
Springer
141views Mathematics» more  ISSAC 2005»
14 years 29 days 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
IJAC
2002
128views more  IJAC 2002»
13 years 7 months 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