Re: [math-fun] cos(x) = x question

Simon Plouffe wrote:

Hello,

Yes, this is the argument, the length of the proposed approximation is about the length in number of digits of precision.

Indeed, the Elias (or Levenshtein) codes for 160 and 13 by themselves almost cover the 21 bits of precision, no code space is left for pi or the operations.

Just a coincidence, and there are others, very few can be explained fully.

here are a few of them : http://mathworld.wolfram.com/AlmostInteger.html

It used to be there; now it is mentioned here: http://mathworld.wolfram.com/DottieNumber.html

http://fr.wikipedia.org/wiki/Nombre_presque_entier (in french),

http://en.wikipedia.org/wiki/Almost_integer

Thank you, Leo