On Tue, Mar 4, 2014 at 2:13 PM, Rustom Mody <rustompm...@gmail.com> wrote: >> But it's a far cry from "all real numbers". Even allowing for >> continued fractions adds only some more; I don't think you can >> represent surds that way. > > See > > http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html#sqrts
That's neat, didn't know that. Is there an efficient way to figure out, for any integer N, what its sqrt's CF sequence is? And what about the square roots of non-integers - can you represent √π that way? I suspect, though I can't prove, that there will be numbers that can't be represented even with an infinite series - or at least numbers whose series can't be easily calculated. ChrisA -- https://mail.python.org/mailman/listinfo/python-list
