Corpus ID: 119639769

On the lexicographic representation of numbers

@article{Manca2015OnTL,
  title={On the lexicographic representation of numbers},
  author={V. Manca},
  journal={arXiv: History and Overview},
  year={2015}
}
  • V. Manca
  • Published 2015
  • Mathematics
  • arXiv: History and Overview
  • It is proven that, contrarily to the common belief, the notion of zero is not necessary for having positional representations of numbers. Namely, for any positive integer $k$, a positional representation with the symbols for $1, 2, \ldots, k$ is given that retains all the essential properties of the usual positional representation of base $k$ (over symbols for $0, 1, 2 \ldots, k-1$). Moreover, in this zero-free representation, a sequence of symbols identifies the number that corresponds to the… CONTINUE READING

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