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» Bounded Arithmetic and Descriptive Complexity
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59
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AAECC
2007
Springer
109views Algorithms» more  AAECC 2007»
15 years 5 months ago
The Tangent FFT
The split-radix FFT computes a size-n complex DFT, when n is a large power of 2, using just 4n lg n−6n+8 arithmetic operations on real numbers. This operation count was first an...
Daniel J. Bernstein
DIMACS
2001
15 years 1 months ago
On the Number of Connected Components of the Relative Closure of a Semi-Pfaffian Family
The notion of relative closure (X, Y )0 of a semi-Pfaffian couple (X, Y ) was introduced by Gabrielov to give a description of the o-minimal structure generated by Pfaffian functio...
Andrei Gabrielov, Thierry Zell
114
Voted
EM
2010
155views Management» more  EM 2010»
14 years 11 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
92
Voted
COMPGEOM
2003
ACM
15 years 4 months ago
Curve-sensitive cuttings
We introduce (1/r)-cuttings for collections of surfaces in 3-space that are sensitive to an additional collection of curves. Specifically, let S be a set of n surfaces in R3 of c...
Vladlen Koltun, Micha Sharir
STOC
2006
ACM
92views Algorithms» more  STOC 2006»
15 years 12 months ago
On the importance of idempotence
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from so...
Sunil Arya, Theocharis Malamatos, David M. Mount