tag:blogger.com,1999:blog-9004452969563620551.post4294779109284570095..comments2018-06-10T01:25:39.214+05:30Comments on Paramanand's Math Notes: π(PI) and the AGM: Gauss-Brent-Salamin Formulatesternoreply@blogger.comBlogger3125tag:blogger.com,1999:blog-9004452969563620551.post-39856003582818018372015-02-10T20:31:23.659+05:302015-02-10T20:31:23.659+05:30 Thanks for these posts, very interesting. That ... Thanks for these posts, very interesting. That last result is beautiful, and was easy for me to follow after getting all the pieces in place from your previous posts. Thanks for your help with that ! --gjk<br /><br />Glenn Kellerhttps://www.blogger.com/profile/03353030102510662096noreply@blogger.comtag:blogger.com,1999:blog-9004452969563620551.post-89733656965724200902013-03-20T14:15:17.776+05:302013-03-20T14:15:17.776+05:30Note that the Gauss-Brent-Salamin formula is somet...Note that the Gauss-Brent-Salamin formula is sometimes given in the form:<br />$\boxed{\displaystyle \pi = \dfrac{4\left\{M\left(1, \dfrac{1}{\sqrt{2}}\right)\right\}^{2}}{\displaystyle 1 - \sum_{n = 1}^{\infty}2^{n + 1}(a_{n}^{2} - b_{n}^{2})}}$<br /><br />This is equivalent to what has been presented here if we notice that in this formula the summation in denominator starts from $n = 1$.paramanandhttps://www.blogger.com/profile/03855838138519730072noreply@blogger.comtag:blogger.com,1999:blog-9004452969563620551.post-35727855575151221262013-03-20T14:14:37.179+05:302013-03-20T14:14:37.179+05:30Thank you very much for sharing
You helped me a lo...Thank you very much for sharing<br />You helped me a lot..Mustafanoreply@blogger.com