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COMPGEOM
2008
ACM
14 years 23 days 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»
14 years 3 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»
14 years 4 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»
14 years 5 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