Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2005
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Infinite sum of gaussians

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56032] Re: Infinite sum of gaussians
  • From: "Valeri Astanoff" <astanoff at yahoo.fr>
  • Date: Thu, 14 Apr 2005 08:54:24 -0400 (EDT)
  • References: <200504120926.FAA27573@smc.vnet.net><d3ibr6$9un$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Andrzej,

I'm not a mathematician, just an engineer, and what puzzles me is this
:

In[1]:=
{ Sum[Exp[-(z-k)^2/2], {k, -Infinity, Infinity}],
      Sqrt[2*Pi]+
        Cos[2*Pi*z]*(EllipticTheta[3,0,1/Sqrt[E]]-Sqrt[2*Pi])} /. z ->
1/2 //
  N[#,35]&

Out[1]=
{2.5066282612190954600008515157581306,
 2.5066282612190954600008515157581301}

If I trust mathematica, this should induce to think
the equality is false.

Anyway, thanks for the time you spent.


Regards,

v.a.


  • Prev by Date: Application of voronoi
  • Next by Date: Re: enumerating list items
  • Previous by thread: Re: Infinite sum of gaussians
  • Next by thread: Re: Re: Infinite sum of gaussians