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Topic: Sequence limit
Replies: 72   Last Post: Nov 26, 2013 12:07 AM

 Messages: [ Previous | Next ]
 Paul Posts: 780 Registered: 7/12/10
Re: Sequence limit
Posted: Nov 9, 2013 4:01 AM

On Friday, November 8, 2013 10:39:38 PM UTC, Bart Goddard wrote:
> Paul <pepstein5@gmail.com> wrote in
>
>
>
>

> > On Friday, November 8, 2013 6:10:06 PM UTC, Bart Goddard wrote:
>
> >> Timothy Murphy <gayleard@eircom.net> 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
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> >> 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.
>
>
>
> It has already been proven that the limit is 1.

Thanks for the clarification. However, your "obviously" is probably incorrect because it confused someone else on this thread besides myself.

If something you say confuses a large number of people, then, by definition, your meaning can't be "obvious".

Here I'm assuming that the two people who misunderstood you are a representative of a larger sample of would-be readers who would be confused.

On the other hand, if 58,732 people read your comment and only 2 people misunderstood you along the lines on which I misunderstood you, then yes, your meaning was obvious.

Paul Epstein

Date Subject Author
10/3/13 Bart Goddard
10/3/13 Karl-Olav Nyberg
10/3/13 quasi
10/3/13 quasi
10/3/13 Karl-Olav Nyberg
10/3/13 quasi
10/4/13 Roland Franzius
10/4/13 quasi
10/5/13 Roland Franzius
10/5/13 quasi
10/26/13 Roland Franzius
10/26/13 karl
10/26/13 Roland Franzius
10/26/13 gnasher729
10/27/13 karl
10/3/13 quasi
10/4/13 Leon Aigret
10/4/13 William Elliot
10/4/13 quasi
10/4/13 William Elliot
10/4/13 quasi
10/4/13 David C. Ullrich
10/4/13 Robin Chapman
10/5/13 Bart Goddard
10/4/13 Bart Goddard
10/4/13 Peter Percival
10/5/13 Virgil
10/4/13 Bart Goddard
10/6/13 David Bernier
10/6/13 Virgil
10/6/13 Bart Goddard
10/7/13 Mohan Pawar
10/7/13 Bart Goddard
10/7/13 gnasher729
10/7/13 Richard Tobin
10/7/13 Robin Chapman
10/7/13 Michael F. Stemper
10/7/13 Michael F. Stemper
10/7/13 David Bernier
10/7/13 fom
10/8/13 Virgil
10/8/13 fom
10/8/13 Virgil
10/8/13 fom
10/4/13 fom
10/4/13 quasi
10/4/13 quasi
10/9/13 Shmuel (Seymour J.) Metz
10/10/13 Bart Goddard
11/5/13 Shmuel (Seymour J.) Metz
11/6/13 Bart Goddard
11/11/13 Shmuel (Seymour J.) Metz
11/12/13 Bart Goddard
11/15/13 Shmuel (Seymour J.) Metz
11/15/13 Bart Goddard
11/6/13 Timothy Murphy
11/8/13 Bart Goddard
11/8/13 Paul
11/8/13 Bart Goddard
11/9/13 Paul
11/9/13 quasi
11/9/13 quasi
11/9/13 quasi
11/13/13 Timothy Murphy
11/13/13 quasi
11/14/13 Timothy Murphy
11/14/13 Virgil
11/14/13 Roland Franzius
11/26/13 Shmuel (Seymour J.) Metz
11/9/13 Roland Franzius
11/9/13 Paul