Re: Series sin(n^2)/n
- From: amy666 <tommy1729@xxxxxxxxxxx>
- Date: Wed, 02 Apr 2008 14:21:19 EDT
David wrote:
On Tue, 1 Apr 2008 09:44:35 -0700 (PDT), Vladimir
Bondarenko
<vb@xxxxxxxxxxxxxxx> wrote:
DCU> Where can we find the proof? This surprises me-
DCU> I'd think this was very hard.
Are you kidding?
No.
int(sin(n^2)/n,n=1..infinity);
-1/2*Si(1)+1/4*Pi
evalf(%);
.3123566283
Been away from sci.math for a few days. I would have
replied "so?" to this if I'd seen it before seeing
Robert's
more compelling version... results relating sums and
integrals
do have _hypotheses_.
true.
QED<dullr...@xxxxxxxxxxx> wrote:
On Mar 27, 5:58 am, David C. Ullrich
AstanoffOn Thu, 27 Mar 2008 01:24:42 -0700 (PDT), Valeri
<astan...@xxxxxxxxx> wrote:
Good day,
Theseriessum(sin(n^2)/n,n=1..infinity)
http://www.cijoint.fr/cj200803/cijVwhNPct.gif
is proven to be [slowly] convergent.
Really? Where can we find the proof? This
surprises me - I'd think this was very hard.
(If you meant that that gif proves theseries
is convergent: no, it doesn't prove anything.)
Has anyone evaluated its sum?...
V.Astanoff
David C. Ullrich
David C. Ullrich
Astanoff sum is intresting.
roberts graphs too.
but more amazingly tommy1729 has researched similar stuff.
for instance plot the partial products of
sin (a*n) +5/4.
for all integer a between 130 and 150.
noticed anything strange ?
tommy1729
.
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