Π day

[floppy]

(03-14-2022 11:06 PM)ttw Wrote:  One can often apply various sequence transformations to speed up these series. A couple of new methods are given here.

https://arxiv.org/pdf/1702.07199.pdf

https://people.mpim-bonn.mpg.de/zagier/f...lltext.pdf


In most record-setting attempts, the desired result is a fraction with really big integers, even bigger than 355/113. An (to me, anyway) amusing feature is that most of the time is taken by the final long division. Third order, first order, fourth order, etc., methods all take about the same amount of time as the time for arithmetic grows pretty fast.

Interesting. When I see PI, I am remembering of page 51 of the "exact" PI formula
http://semjonadlaj.com/SP/Computer+Algeb..._37-56.pdf
we have there an highspeed-convergency