Continued fractions and number systems: applications to correctly-rounded implementations of elementary functions and modular arithmetic. Mourad Gouicem PEQUAN Team, LIP6/UPMC

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Directed Rounding Arithmetic Operations ISO WG21 Document : N2811=Guillaume Melquiond and Sylvain PionAbstract We propose the addition of new functions to the C++0x standard library that provide

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FAST ROUNDING OF FLOATING POINT NUMBERS

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• Computer arithmetic
• Computer architecture
• Mathematics
• Computing
• Rounding
• Fixed-point arithmetic
• Audio bit depth
• IEEE floating point
• Q
• C++ classes
• Floor and ceiling functions
• Double-precision floating-point format

Numbers, constants and computation 1 Numerical evaluation of the Riemann Zeta-function

Source URL: wiskunde.vandelden.net

• Mathematics
• Mathematical analysis
• Number theory
• Analytic number theory
• Bernhard Riemann
• Conjectures
• Riemann zeta function
• Arithmetic functions
• Riemann hypothesis
• Z function
• RiemannSiegel formula
• Bernoulli number

Ordered Contribution Allocations: Theoretical Properties and Applications Patrick Cheridito∗ Princeton University Princeton, USA

Source URL: www.princeton.edu

• Mathematics
• Discrete mathematics
• Combinatorics
• Arithmetic functions
• Partition of a set
• Cooperative game theory
• Metric
• Partition

Algorithms and Data Structures Winter TermExercises for Units 1 and 2 1. This sequence of exercises is supposed to illustrate that certain restrictions that we put on our RAM model are really necessary. If they

Source URL: www-tcs.cs.uni-sb.de

• Mathematics
• Logarithms
• Multiplicative functions
• Analysis of algorithms
• Asymptotic analysis
• Big O notation
• Mathematical notation
• Prime number
• Greatest common divisor
• Prime number theorem
• Average order of an arithmetic function

CROWNE PLAZA SEATTLE DOWNTOWN MEETING SPACE CAPACITY CHART u Ro

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• Mathematical analysis
• Arithmetic functions
• Orthogonal polynomials
• Polynomials
• Mathematics

Average Orders of Certain Arithmetical Functions Kaneenika Sinha∗ July 26, 2006 Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6, email:

Source URL: www.iiserpune.ac.in

• Mathematics
• Number theory
• Mathematical analysis
• Analytic number theory
• Bernhard Riemann
• Conjectures
• Arithmetic functions
• Riemann hypothesis
• Riemann zeta function
• Square-free integer
• Chebyshev function
• Prime number theorem

Asymptotic formulæ in combinatory analysis∗ Proceedings of the London Mathematical Society, 2, XVII, 1918, 75 — Introduction and summary of results 1.1 The present paper is the outcome of an attempt to apply

Source URL: ramanujan.sirinudi.org

• Mathematical analysis
• Mathematics
• Asymptotic analysis
• Arithmetic functions
• Analytic functions
• Meromorphic functions
• Combinatorics
• Partition
• Prime number theorem
• Asymptotic formula
• Divisor function
• Riemann zeta function

Under-approximations of computations in real numbers based on generalized affine arithmetic Eric Goubault and Sylvie Putot CEA-LIST Laboratory for ModEling and Analysis of Systems in Interaction, 91191 Gif-sur-Yvette Ced

Source URL: www.lix.polytechnique.fr

• Mathematics
• Mathematical analysis
• Numerical analysis
• Geometry
• Functions and mappings
• Affine geometry
• Affine arithmetic
• Interval arithmetic
• Quasigroup
• Abstract interpretation
• Logarithm
• Derivative