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» Coinduction for Exact Real Number Computation
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GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
15 years 4 months ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
Changhe Tu, Wenping Wang, Jiaye Wang
JUCS
2010
106views more  JUCS 2010»
14 years 10 months ago
A Heuristic Approach to Positive Root Isolation for Multiple Power Sums
: Given a multiple power sum (extending polynomial’s exponents to real numbers), the positive root isolation problem is to find a list of disjoint intervals, satisfying that the...
Ming Xu, Chuandong Mu, Zhenbing Zeng, Zhi-bin Li
CORR
2010
Springer
159views Education» more  CORR 2010»
14 years 11 months ago
An Elimination Method for Solving Bivariate Polynomial Systems: Eliminating the Usual Drawbacks
We present an exact and complete algorithm to isolate the real solutions of a zero-dimensional bivariate polynomial system. The proposed algorithm constitutes an elimination metho...
Eric Berberich, Pavel Emeliyanenko, Michael Sagral...
DMSN
2004
ACM
15 years 5 months ago
Approximately uniform random sampling in sensor networks
Recent work in sensor databases has focused extensively on distributed query problems, notably distributed computation of aggregates. Existing methods for computing aggregates bro...
Boulat A. Bash, John W. Byers, Jeffrey Considine
SIGMOD
2010
ACM
186views Database» more  SIGMOD 2010»
15 years 4 months ago
Fast approximate correlation for massive time-series data
We consider the problem of computing all-pair correlations in a warehouse containing a large number (e.g., tens of thousands) of time-series (or, signals). The problem arises in a...
Abdullah Mueen, Suman Nath, Jie Liu