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The approximation to algebraic numbers by rationals

โœ Scribed by F. J. Dyson


Book ID
112744769
Publisher
Springer Netherlands
Year
1947
Tongue
English
Weight
540 KB
Volume
79
Category
Article
ISSN
0001-5962

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๐Ÿ“œ SIMILAR VOLUMES


Approximation of Real Numbers by Rationa
โœ Pavel Kargaev; Anatoly Zhigljavsky ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 591 KB

Let x be a real number in [0, 1], F n be the Farey sequence of order n and \ n (x) be the distance between x and F n . The first result concerns the average rate of approximation: The second result states that any badly approximable number is better approximable by rationals than all numbers in ave