Abstract
Let β be a real number β 1. Addition and multiplication by a fixed positive integer of real numbers represented in base β are shown to be computable by an on-line algorithm, and thus are continuous functions. When β is a Pisot number, these functions are computable by an on-line finite automaton.
Cite
CITATION STYLE
APA
Frougny, C. (1999). On-line addition in real base. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1672, pp. 1–11). Springer Verlag. https://doi.org/10.1007/3-540-48340-3_1
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