Generalizations of certain representations of real numbers
arXiv:1801.10540 · doi:10.2478/tmmp-2020-0033
Abstract
In the present article, real number representations, that are generalizations of classical positive and alternating representations of numbers, are introduced and investigated. The main metric relation, properties of cylinder sets are proved. The theorem on the representation of real numbers from a certain interval is formulated.
arXiv comment8 pages
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- Generalizations of certain representations of real numbers
- One modification of the Salem function
- On one approach to modeling numeral systems
- Generalized shift operator of certain encodings of real numbers
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