99 search results - page 5 / 20 » Computing singular points of plane rational curves |
ISSAC
2004
Springer
14 years 26 days ago
2004
Springer
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...
ESA
2003
Springer
14 years 21 days ago
2003
Springer
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
WAE
2000
13 years 8 months ago
2000
Given a collection C of curves in the plane, the arrangement of C is the subdivision of the plane into vertices, edges and faces induced by the curves in C. Constructing arrangemen...
ANTS
2010
Springer
13 years 11 months ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
CAGD
2008
13 years 7 months ago
2008
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...