Lochs's theorem
id:
lochs-s-theorem-272-3778121
title:
Lochs's theorem
text:
In number theory, Lochs's theorem concerns the rate of convergence of the continued fraction expansion of a typical real number. A proof of the theorem was published in 1964 by Gustav Lochs. The theorem states that for almost all real numbers in the interval (0,1), the number of terms m of the number's continued fraction expansion that are required to determine the first n places of the number's decimal expansion behaves asymptotically as follows: As this limit is only slightly smaller than 1, t
brand slug:
wiki
category slug:
encyclopedia
description:
On the rate of convergence of the continued fraction expansion of a typical real number
original url:
https://en.wikipedia.org/wiki/Lochs%27s_theorem
date created:
date modified:
2024-01-14T18:49:13Z
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image:
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fields total:
13
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