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» On Generalized Schur Numbers
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CORR
2011
Springer
205views Education» more  CORR 2011»
13 years 4 months ago
On the algebraic numbers computable by some generalized Ehrenfest urns
This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white ...
Marie Albenque, Lucas Gerin
JCSS
2011
81views more  JCSS 2011»
13 years 4 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
JCT
2010
144views more  JCT 2010»
13 years 8 months ago
Combinatorics of generalized q-Euler numbers
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
Tim Huber, Ae Ja Yee
ICALP
2007
Springer
14 years 1 months ago
A Generalization of Cobham's Theorem to Automata over Real Numbers
Abstract. This paper studies the expressive power of finite-state automata recognizing sets of real numbers encoded positionally. It is known that the sets that are definable in th...
Bernard Boigelot, Julien Brusten
ENTCS
2006
137views more  ENTCS 2006»
13 years 9 months ago
Coinductive Field of Exact Real Numbers and General Corecursion
In this article we present a method to define algebraic structure (field operations) on a representation of real numbers by coinductive streams. The field operations will be given...
Milad Niqui