Re: Repeated digits in Pi -- the Feynman point

Liste des GroupesRevenir à r puzzles 
Sujet : Re: Repeated digits in Pi -- the Feynman point
De : richard (at) *nospam* cogsci.ed.ac.uk (Richard Tobin)
Groupes : rec.puzzles
Date : 26. Jun 2025, 20:50:14
Autres entêtes
Organisation : Language Technology Group, University of Edinburgh
Message-ID : <103k89m$k0uf$1@artemis.inf.ed.ac.uk>
References : 1 2 3 4
User-Agent : trn 4.0-test76 (Apr 2, 2001)
In article <103k5nq$3ju79$1@dont-email.me>,
David Entwistle  <qnivq.ragjvfgyr@ogvagrearg.pbz> wrote:

3.14159 26535 89793 23846 26433 83279       41971 69399 3751...
 3.14159 26535 89793 23846 26433 83279 50288 41971 6939...

(reformatted)

Presumably the first was copied from a listing in groups of 5 digits,
and one group was missed out.

Oh, who decides?

A substantial proportion of the population are capable of learning the
necessary maths and writing a program to determine which is correct.
A much smaller proportion are sufficiently motivated to do so.

If you don't trust the computer, it would be possible to use the
formula

  pi = 16 atan(1/5) = 4 atan(1/239)

to calculate it by hand to that precision.  William Shanks used it and
obtained 527 decimal places correctly in 1853.  This was not surpassed
(and an error found in his later digits) until 1946 using a mechanical
calculator.

-- Richard

Date Sujet#  Auteur
22 Jun 25 * Repeated digits in Pi -- the Feynman point16HenHanna
23 Jun 25 +* Re: Repeated digits in Pi -- the Feynman point6David Entwistle
23 Jun 25 i+* Re: Repeated digits in Pi -- the Feynman point4HenHanna
24 Jun 25 ii+- Re: Repeated digits in Pi -- the Feynman point1David Entwistle
24 Jun 25 ii`* Re: Repeated digits in Pi -- the Feynman point2Richard Tobin
24 Jun 25 ii `- Re: Repeated digits in Pi -- the Feynman point1Richard Heathfield
23 Jun 25 i`- Re: Repeated digits in Pi -- the Feynman point1Richard Tobin
24 Jun 25 `* Re: Repeated digits in Pi -- the Feynman point9David Entwistle
25 Jun03:11  `* Re: Repeated digits in Pi -- the Feynman point8Carl G.
25 Jun04:38   +- Re: Repeated digits in Pi -- the Feynman point1Mike Terry
26 Jun20:06   `* Re: Repeated digits in Pi -- the Feynman point6David Entwistle
26 Jun20:50    `* Re: Repeated digits in Pi -- the Feynman point5Richard Tobin
27 Jun14:18     +* Re: Repeated digits in Pi -- the Feynman point3David Entwistle
27 Jun20:57     i`* Re: Repeated digits in Pi -- the Feynman point2Carl G.
28 Jun10:57     i `- Re: Repeated digits in Pi -- the Feynman point1David Entwistle
28 Jun11:08     `- Re: Repeated digits in Pi -- the Feynman point1David Entwistle

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