Paul <email@example.com> wrote in news:firstname.lastname@example.org:
> 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?
Neither. Obviously the thing I don't think is true is the sentence to which I'm responding: That the values of |sin n|^(1/n) are evenly distributed. You could infer this by my coment about the (1/n) power pushing things toward zero.