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CASC
2007
Springer
112views Mathematics» more  CASC 2007»
14 years 1 months ago
Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors
A common way of implementing multivariate polynomial multiplication and division is to represent polynomials as linked lists of terms sorted in a term ordering and to use repeated ...
Michael B. Monagan, Roman Pearce
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 7 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
SECURWARE
2008
IEEE
14 years 1 months ago
Polynomial Heuristic Algorithms for Inconsistency Characterization in Firewall Rule Sets
Firewalls provide the first line of defence of nearly all networked institutions today. However, Firewall ACLs could have inconsistencies, allowing traffic that should be denied o...
Sergio Pozo Hidalgo, Rafael Ceballos, Rafael M. Ga...
COMPGEOM
1999
ACM
13 years 12 months ago
Interval Methods for Kinetic Simulations
We propose a speed-up method for discrete-event simulations, including sweep-line or -plane techniques, requiring the repeated calculation of the times at which certain discrete e...
Leonidas J. Guibas, Menelaos I. Karavelas
STOC
2010
ACM
216views Algorithms» more  STOC 2010»
14 years 5 months ago
BQP and the Polynomial Hierarchy
The relationship between BQP and PH has been an open problem since the earliest days of quantum computing. We present evidence that quantum computers can solve problems outside th...
Scott Aaronson