Guess you are right. Brocot (from the Stern-Brocot tree of fractions) came up with the algo to produce from two fractions p/q and r/s the fraction (p+r)/(q+s), which is in between the two parent fractions. Starting with 0/1 and 1/0 you can converge to any positive real number x, where (p+r)/(q+s) becomes the new 'weak' or 'strong' fraction dependent of its position w.r.t. x.
R.E. Boss > -----Original Message----- > From: Chat [mailto:[email protected]] On Behalf Of > Roger Hui > Sent: maandag 29 januari 2018 18:50 > To: Chat Forum <[email protected]> > Subject: Re: [Jchat] weak | strong fraction ... > > Guess: p<x and x<q. p and q are rational. p is a "weak fraction" and q is a > "strong fraction". If you have a process where at each step the weak > becomes less weak and the strong becomes less strong, then you are in > business. > > > > On Mon, Jan 29, 2018 at 9:05 AM, Martin Kreuzer <[email protected]> > wrote: > > > Hi - > > > > This question goes to you Math people: > > > > Looking at this article > > https://en.wikipedia.org/wiki/Mil%C3%BC > > I found (in the last paragraph) the terms "weak" and "strong" fractions. > > > > I've never before seen this mentioned anywhere and I'm in doubt > > whether it is a valid concept. > > [nb: I do own the Martzloff (1996) book.] > > > > Any enlightenment welcome ... > > > > -M > > > > ---------------------------------------------------------------------- > > 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
