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» On Coherence in Computer Algebra
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186
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ENTCS
2006
113views more  ENTCS 2006»
15 years 5 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey
TVCG
1998
102views more  TVCG 1998»
15 years 4 months ago
Ray-Tracing Triangular Trimmed Free-Form Surfaces
This paper presents a new approach to rendering triangular algebraic free form surfaces. A hierarchical subdivision of the surface with associated tight bounding volumes provides ...
Wolfgang Stürzlinger
ROBOTICA
2008
100views more  ROBOTICA 2008»
15 years 4 months ago
A symbolic approach to polyhedral scene analysis by parametric calotte propagation
Polyhedral scene analysis studies whether a 2D line drawing of a 3D polyhedron is realizable in the space, and if so, parameterizing the space of all possible realizations. For gen...
Hongbo Li, Lina Zhao, Ying Chen
146
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JSC
2010
96views more  JSC 2010»
15 years 3 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
CORR
2011
Springer
160views Education» more  CORR 2011»
14 years 8 months ago
PHCpack in Macaulay2
The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose solver for polynomial systems by homotopy continuation. The main f...
Elizabeth Gross, Sonja Petrovic, Jan Verschelde