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ONE POINT OF VIEW: Fractions and Other Rational Numbers

✍ Scribed by Thomas R. Post


Book ID
125091121
Publisher
National Council of Teachers of Mathematics
Year
1989
Weight
762 KB
Volume
37
Category
Article
ISSN
0004-136X

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On the powers of 3/2 and other rational
✍ ArtΕ«ras Dubickas πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 144 KB

## Abstract Let__p__ > __q__ > 1 be two coprime integers. In this paper, we prove several results about subsets of the interval [0, 1) which does or does not contain all the fractional parts {__ΞΎ__ (__p__ /__q__)^__n__^ }, __n__ = 0, 1, 2, …, for certain non‐zero real number __ΞΎ__. We show, for ins