       Re: Wolfram, meet Stefan and Boltzmann

• To: mathgroup at smc.vnet.net
• Subject: [mg117327] Re: Wolfram, meet Stefan and Boltzmann
• From: AES <siegman at stanford.edu>
• Date: Tue, 15 Mar 2011 06:05:02 -0500 (EST)
• References: <ilfgt6\$6t8\$1@smc.vnet.net> <ilksd8\$6aq\$1@smc.vnet.net>

```In article <ilksd8\$6aq\$1 at smc.vnet.net>, Peltio <peltio at twilight.zone>
wrote:

> It is not clear if you had already started up a kernel before
> evaluating the integral.
> Try it this way: first thing first evaluate
>   1+1

Good idea.  Prepared a notebook with Input cells shown just below, Saved
this notebook to desktop, Quit Mathematica.  Double-clicked the notebook, waited
Enter, got results below:

In:= Timing[1+1//N]

Out= {0.000017,2.}

In:= Timing[Integrate[x/(Exp[x]-1),{x,0,Infinity}]]

Out= {5.52206,\[Pi]^2/6}

In:= Timing[Integrate[x^3/(Exp[x]-1),{x,0,Infinity}]]

Out= {19.1595,\[Pi]^4/15}

Did a Delete Output Cells, repeated the Select All and hit Enter, got
following results:

In:= Timing[1+1//N]

Out= {0.000016,2.}

In:= Timing[Integrate[x/(Exp[x]-1),{x,0,Infinity}]]

Out= {0.059286,\[Pi]^2/6}

In:= Timing[Integrate[x^3/(Exp[x]-1),{x,0,Infinity}]]

Out= {0.085411,\[Pi]^4/15}

Seems to be repeatable behavior.  No other messy stuff running on my
MacBook.

```

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