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Journal Articles Mathematical Structures in Computer Science Year : 2022

Some representations of real numbers using integer sequences

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Abstract

The paper describes three models of the real field based on subsets of the integer sequences. The three models are compared to the Harthong–Reeb line. Two of the new models, contrary to the Harthong–Reeb line, provide accurate integer “views” on real numbers at a sequence of growing scales Bn ( B≥2 ).

Dates and versions

hal-03823467 , version 1 (20-10-2022)

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Loïc Mazo, Marie-Andrée da Col, Laurent Fuchs, Nicolas Magaud, Gaelle Largeteau-Skapin. Some representations of real numbers using integer sequences. Mathematical Structures in Computer Science, 2022, ⟨10.1017/S0960129522000342⟩. ⟨hal-03823467⟩

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