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JCSS
2011
81views more  JCSS 2011»
12 years 11 months ago
Representing real numbers in a generalized numeration system
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...
Emilie Charlier, Marion Le Gonidec, Michel Rigo
CADE
2009
Springer
14 years 5 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...
ADCM
1998
132views more  ADCM 1998»
13 years 4 months ago
Numerical solution of generalized Lyapunov equations
Two e cient methods for solving generalized Lyapunov equations and their implementations in FORTRAN 77 are presented. The rst one is a generalization of the Bartels{Stewart method...
Thilo Penzl
ASSETS
2004
ACM
13 years 10 months ago
The audio abacus: representing numerical values with nonspeech sound for the visually impaired
Point estimation is a relatively unexplored facet of sonification. We present a new computer application, the Audio Abacus, designed to transform numbers into tones following the ...
Bruce N. Walker, Jeff Lindsay, Justin Godfrey
ISSAC
2007
Springer
149views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Computing numerically with functions instead of numbers
Symbolic computation with functions of a real variable suffers from combinatorial explosion of memory and computation time. The alternative chebfun system for such computations is...
Lloyd N. Trefethen