I think the spec calls for different lists of a and b?
----- Original Message ----- From: Lizanets Danylo <iamwea...@ukr.net> To: programm...@jsoftware.com Cc: "programm...@jsoftware.com" <programm...@jsoftware.com> Sent: Sunday, February 23, 2014 5:55:29 PM Subject: Re: [Jprogramming] Generalized continued fractions Use (+%)/ (+%)/\9$1 1 2 1.5 1.66667 1.6 1.625 1.61538 1.61905 1.61765 --- Original message --- From: "km" < k...@math.uh.edu > Date: 24 February 2014, 00:17:52 The generalized continued fraction b0 + a1 --------- b1 + a2 --------- b2 + a3 -------- b3 + ... is the infinite sequence b0 , b0 + a1%b1 , b0 + a1%b1 + a2%b2 , b0 + a1%b1 + a2%b2 + a3%b3 , ... where between the commas I am assuming J's right-to-left evaluation. The nth term would be b0 + a1%b1 + a2%b2 + a3%b3 + ... + an%bn (still using right to left evaluation). What is a good way to calculate this nth term in J? For a half-page introduction to generalized continued fractions see http://people.math.sfu.ca/~cbm/aands/page_19.htm Continued fractions for ln(1+z) and ln((1+z)%(1-z)) are given here http://people.math.sfu.ca/~cbm/aands/page_68.htm --Kip Murray Sent from my iPad ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
