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» On sets not belonging to algebras
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ICPPW
2005
IEEE
15 years 3 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
15 years 2 months 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
14 years 11 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»
15 years 3 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
15 years 3 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