Re: Arbitrary strings of digits in the decimal display of Pi
From: J.Barsuhn (jw.barsuhn_at_t-online.de)
Date: 09/21/04
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Date: Tue, 21 Sep 2004 03:37:17 +0200
Dear Carl,
thank you for your two postings: They contain a lot of information and
it will take me some time to go through it. However, a first question
arises from your statement cited below:
Carl Devore schrieb:
> On Mon, 20 Sep 2004, J.Barsuhn wrote:
>
>>It appears to be generally accepted that one can find any sequence of
>>digits somewhere in the decimal display of Pi = 3.14159....
>
>
> It is generally accepted because the probabilty is 1 that a randomly
> selected real number will have this property.
If you would like to construct an irrational number lacking the digit
sequence "12345" then take just any irrational number and replace the
"12345" on any occurrence by "54321". Hence I would expect "as many"
irrationals with "12345"-strings as without such a string.
All the best Jurgen
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