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COMPGEOM
2008
ACM
13 years 6 months ago
Exact geometric-topological analysis of algebraic surfaces
We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
Eric Berberich, Michael Kerber, Michael Sagraloff
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
13 years 8 months ago
Real Algebraic Closure of an Ordered Field: Implementation in Axiom
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
Renaud Rioboo
ISSAC
2005
Springer
83views Mathematics» more  ISSAC 2005»
13 years 9 months ago
A procedure for proving special function inequalities involving a discrete parameter
We define a class of special function inequalities that contains many classical examples, such as the Cauchy-Schwarz inequality, and introduce a proving procedure based on induct...
Stefan Gerhold, Manuel Kauers
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert