19 Nov
2015
19 Nov
'15
1:01 p.m.
I like this bijection from Z+ to Q+ : ----- Let f(1) = 1. Define f(2n) = f(n) + 1 and f(2n+1) = 1/(f(n)+1). ----- There is more information about it here: http://mathoverflow.net/questions/200656/is-there-a-natural-bijection-from-m... <http://mathoverflow.net/questions/200656/is-there-a-natural-bijection-from-mathbbn-to-mathbbq> as well as a number of very interesting related comments, in particular the one that uses factorial expansions to get a different bijection. —Dan
On Nov 19, 2015, at 10:30 AM, Eric Angelini <Eric.Angelini@kntv.be> wrote:
I was looking for a way to represent any fraction with one single integer. Do you know if there is a common way to do that or a paper about it? ... ...