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Ladder Approximations of Irrational Numbers

โœ Scribed by J. R. Ridenhour


Book ID
124084744
Publisher
Mathematical Association of America
Year
1986
Tongue
English
Weight
673 KB
Volume
59
Category
Article
ISSN
0025-570X

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๐Ÿ“œ SIMILAR VOLUMES


The Best Approximation Function to Irrat
โœ J.C. Tong ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

Let \(\xi\) be an irrational number with simple continued fraction expansion \(\xi=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}, \ldots\right]\). Let the \(i\) th convergent \(p_{i} / q_{i}=\left[a_{0} ; a_{1}, a_{2}, \ldots, a_{i}\right]\). Let \(\mu=\) \(\left|\left[0 ; a_{n+2}, a_{n+3}, \ldots\right