Counting the Positive Rationals: A Brief Survey

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We discuss some examples that illustrate the countability of the positive rational numbers and related sets. Techniques include radix representations, Godel numbering, the fundamental theorem of arithmetic, continued fractions, Egyptian fractions, and the sequence of ratios of successive hyperbinary representation numbers.
7 pages

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History and Overview, 26A03 (Primary); 11A51, 11A55, 11A63 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/76236

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509025
 http://arxiv.org/abs/math/0509025

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arXiv