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Re: Wolfram, meet Stefan and Boltzmann

  • To: mathgroup at smc.vnet.net
  • Subject: [mg117394] Re: Wolfram, meet Stefan and Boltzmann
  • From: Peter <petsie at dordos.net>
  • Date: Thu, 17 Mar 2011 06:31:35 -0500 (EST)
  • References: <ili6f5$kk2$1@smc.vnet.net>

On 13.03.2011 11:32, Syd Geraghty wrote:
...
> I worked for Intel 25 years ago and I remember that on some chips we shipped there was a firmware function called "warm up"  that took a month or two in some extreme cases.
>
> Be patient and all will be well.
>
...

You're kidding, aren't you??? There is some time left until fool's day ...

On Ubuntu Linux 10.10 (64bit)  with version 8 I get immediately after 
start of Mathematica (no "1+1" or "0*Pi" or comparable nonsense)::

In[1]:= AbsoluteTiming[Integrate[x^3/(1 - Exp[x]), {x, 0, Infinity}]]
Out[1]= {1.663901,-Pi^4/15}

<< "Rubi2.mx" (* see http://www.apmaths.uwo.ca/~arich/ *)
In[3]:= AbsoluteTiming[rubi = Int[x^3/(1 - Exp[x]), x];
    Simplify[Subtract @@ Apply[Limit[rubi, x -> #1, Direction -> #2] & ,
       {{Infinity, 1}, {0, -1}}, {1}]]]
Out[3]= {1.282311,-Pi^4/15}

Peter


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