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A coverage construction of the reals and the irrationals

✍ Scribed by Harold Simmons

Book ID
108054615
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
445 KB
Volume
145
Category
Article
ISSN
0168-0072

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πŸ“œ SIMILAR VOLUMES

On the Approximation of Irrationals by R
On the Approximation of Irrationals by Rationals
✍ Carstenelsner πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 421 KB

Let be a real irrational number, and a 2 0, b 2 0 , a > 1 be integers. A theorem of S. UCHIYAMA states that there are infinitely many pairs of integers u and v # 0 such that provided that it is not a z b z 0 mod s. It is shown that this result is best-possible for all integers s > 1. 1991 Mathemati