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» On sets not belonging to algebras
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ICPPW
2005
IEEE
14 years 1 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde
FOCS
2002
IEEE
14 years 20 days ago
A Dichotomy Theorem for Constraints on a Three-Element Set
The Constraint Satisfaction Problem (CSP) provides a common framework for many combinatorial problems. The general CSP is known to be NP-complete; however, certain restrictions on...
Andrei A. Bulatov
DAS
2008
Springer
13 years 9 months ago
An Empirical Measure on the Set of Symbols Occurring in Engineering Mathematics Texts
Certain forms of mathematical expression are used more often than others in practice. A quantitative understanding of actual usage can provide additional information to improve th...
Stephen M. Watt
ICRA
2005
IEEE
103views Robotics» more  ICRA 2005»
14 years 1 months ago
Dimensioning a Constrained Parallel Robot to Reach a Set of Task Positions
— The paper considers the problem of setting the dimensions of a system of constrained parallel robots to ensure that together they can position an end-effector in a specified s...
Hai-Jun Su, J. Michael McCarthy
COMPGEOM
2004
ACM
14 years 1 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir