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Some representations of real numbers using integer sequences
Published online by Cambridge University Press: 14 October 2022
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 
$B^n$(
$B\ge2$).
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- © The Author(s), 2022. Published by Cambridge University Press
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