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» New Formulae for Multiplication of Intervals
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TPHOL
2007
IEEE
14 years 1 months ago
Verifying Nonlinear Real Formulas Via Sums of Squares
Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
John Harrison
AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
13 years 7 months ago
Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
Tanja Lange
CPHYSICS
2008
79views more  CPHYSICS 2008»
13 years 7 months ago
Atmospheric MUons from PArametric formulas: a fast GEnerator for neutrino telescopes (MUPAGE)
Abstract. Neutrino telescopes are opening new opportunities in observational high energy astrophysics. In these detectors, atmospheric muons from primary cosmic ray interactions in...
G. Carminati, M. Bazzotti, A. Margiotta, M. Spurio
IJCAI
1993
13 years 8 months ago
Multi-Interval Discretization of Continuous-Valued Attributes for Classification Learning
Since most real-world applications of classification learning involve continuous-valued attributes, properly addressing the discretization process is an important problem. This pa...
Usama M. Fayyad, Keki B. Irani
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
14 years 1 months ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel