Reference : Representing real numbers in a generalized numeration system
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
http://hdl.handle.net/2268/38527
Representing real numbers in a generalized numeration system
English
Charlier, Emilie mailto [Université de Liège - ULg > Département de mathématique > Mathématiques discrètes >]
Le Gonidec, Marion [> >]
Rigo, Michel mailto [Université de Liège - ULg > Département de mathématique > Mathématiques discrètes >]
2011
Journal of Computer & System Sciences
Academic Press
77
743-759
Yes (verified by ORBi)
International
0022-0000
[en] real numbers ; representation ; numeration system ; dyck language ; infinite word ; rational base
[en] 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 representations of real numbers using the Dyck language. We also show that our framework can be applied to the rational base numeration systems.
Researchers
http://hdl.handle.net/2268/38527

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