Decimals to fraction strings
Cameron Laird
claird at starbase.neosoft.com
Fri May 19 15:53:28 CEST 2000
In article <slrn8i882a.39n.jraven at corvus.local>,
Jeff Raven <jraven at psu.edu> wrote:
.
.
.
>Dirichlet proved that given any number alpha and integer N, there
>is always a 'good' approximation p/q such that q < N. This fraction
>can be calculated directly using a rather clever argument, but
>the method of continued fractions ought to give you the same thing.
.
.
.
Let me be sure I understand your quantifiers. "Dirichlet
proved that ... there is always at least one 'good' ...",
correct?
Here's where I'm ignorant: how is Dirichlet's construction
more of a "direct calculation" than a standard continued-
fraction computation?
--
Cameron Laird <claird at NeoSoft.com>
Business: http://www.Phaseit.net
Personal: http://starbase.neosoft.com/~claird/home.html
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