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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.
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