On Friday, November 8, 2013 6:10:06 PM UTC, Bart Goddard wrote: > Timothy Murphy <email@example.com> wrote in news:l5dg9v$tn6$1@dont- > > email.me: > > > > > It's clear that the upper limit is 1, > > > since n pi mod Z will be distributed evenly in [0,1), > > > and so will infinitely often be in the range (1/3,2/3). > > > > I don't think this is true. |Sin(n)| is probably > > distributed evenly, but raising to (1/n) power is going > > to crowd things toward 0.
This sounds ambiguous to me. Do you mean that you don't think it's true that the upper limit is 1 or do you mean that you don't think it's true that it's clear that the upper limit is 1? These are obviously very different questions. I think that it's not clear that the upper limit is 1.