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Experimental computation of real numbers by Newtonian machines

✍ Scribed by Beggs, E.J.; Tucker, J.V.

Book ID
120147985
Publisher
The Royal Society
Year
2007
Tongue
English
Weight
344 KB
Volume
463
Category
Article
ISSN
0962-8444

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πŸ“œ SIMILAR VOLUMES

On approximation of real numbers by alge
On approximation of real numbers by algebraic numbers of bounded degree
✍ Kiryl I. Tsishchanka πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 228 KB

Dirichlet proved that for any real irrational number ΞΎ there exist infinitely many rational numbers p/q such that |ΞΎp/q| < q -2 . The correct generalization to the case of approximation by algebraic numbers of degree n, n > 2, is still unknown. Here we prove a result which improves all previous esti