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Rational approximations of real numbers

โœ Scribed by V. A. Ivanov

Publisher
SP MAIK Nauka/Interperiodica
Year
1978
Tongue
English
Weight
713 KB
Volume
23
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

Approximation of Real Numbers by Rationa
Approximation of Real Numbers by Rationals: Some Metric Theorems
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

Recursive Approximability of Real Number
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โœ Xizhong Zheng ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 359 KB

A real number is recursively approximable if there is a computable sequence of rational numbers converging to it. If some extra condition to the convergence is added, then the limit real number might have more effectivity. In this note we summarize some recent attempts to classify the recursively ap