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ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
15 years 5 months ago
Rational general solutions of algebraic ordinary differential equations
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
Ruyong Feng, Xiao-Shan Gao
103
Voted
ITA
2000
14 years 11 months ago
Iteration of rational transductions
The purpose of this paper is to show connections between iterated length-preserving rational transductions and linear space computations. Hence, we study the smallest family of tr...
Alain Terlutte, David Simplot
ORL
2007
61views more  ORL 2007»
14 years 11 months ago
Exact solutions to linear programming problems
The use of floating-point calculations limits the accuracy of solutions obtained by standard LP software. We present a simplex-based algorithm that returns exact rational solutio...
David Applegate, William J. Cook, Sanjeeb Dash, Da...
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
14 years 10 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
COMMA
2008
15 years 1 months ago
A Level-based Approach to Computing Warranted Arguments in Possibilistic Defeasible Logic Programming
Abstract. Possibilistic Defeasible Logic Programming (P-DeLP) is an argumentation framework based on logic programming which incorporates a treatment of possibilistic uncertainty a...
Teresa Alsinet, Carlos Iván Chesñeva...