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ISSAC
2004
Springer
86views Mathematics» more  ISSAC 2004»
15 years 11 months ago
Maximal quotient rational reconstruction: an almost optimal algorithm for rational reconstruction
Let n/d ∈ Q, m be a positive integer and let u = n/d mod m. Thus u is the image of a rational number modulo m. The rational reconstruction problem is; given u and m find n/d.
Michael B. Monagan
JCDCG
2004
Springer
15 years 11 months ago
The Geometry of Musical Rhythm
Abstract. Musical rhythm is considered from the point of view of geometry. The interaction between the two fields yields new insights into rhythm and music theory, as well as new ...
Godfried T. Toussaint
ISCAS
2003
IEEE
124views Hardware» more  ISCAS 2003»
15 years 11 months ago
Analysis of output ripple in multi-phase clocked charge pumps
This paper presents a mathematical analysis of the ripple voltage caused by a mismatch in parasitic capacitances in multi-phase, clocked charge pumps. Through detailed circuit mod...
Louie Pylarinos, Khoman Phang
ERSHOV
2003
Springer
15 years 11 months ago
A Polymorphic Radix- n Framework for Fast Fourier Transforms
We provide a polymorphic framework for radix-n Fast Fourier Transforms (FFTs) where all known kinds of monomoporhic radix-n algorithms can be obtained by specialization. The framew...
Marcin Zalewski, Sibylle Schupp
IPPS
2002
IEEE
15 years 11 months ago
Proving Self-Stabilization with a Proof Assistant
We present a formalization of a proof of self-stabilization in the Coq proof assistant. Coq is a program allowing to define mathematical objects and properties, and to make proof...
Pierre Courtieu