ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
We present lifting techniques for triangular decompositions of zero-dimensional varieties, that extend the range of the previous methods. We discuss complexity aspects, and report...
ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper, we construct fu...
ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
Symmetric and semisymmetric graphs are used in many scientific domains, especially parallel computation and interconnection networks. The industry and the research world make a h...
ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
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...
ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
ISSAC
2005
Springer
14 years 7 months ago
2005
Springer
Given an elementary function with algebraic branch cuts, we show how to decide which sheet of the associated Riemann surface we are on at any given point. We do this by establishi...