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Re: Wierdness with the laplacian

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45152] Re: [mg45132] Wierdness with the laplacian
  • From: Hugh Walker <hwalker at gvtc.com>
  • Date: Thu, 18 Dec 2003 06:55:28 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On Wednesday, December 17, 2003, at 06:54 AM, Peter Jay Salzman wrote:

> Hi all,
>
> When I do:
>
> 	<<Calculus`VectorAnalysis`
> 	SetCoordinates[Spherical[r, theta, phi]
> 	Laplacian[ Exp[r^2] ]
>
> Mathematica gives:
>
>                 2                     2
>                r   2                 r   4
> Csc[theta] (6 E   r  Sin[theta] + 4 E   r  Sin[theta])
> ------------------------------------------------------
>                            2
>                           r
>
> Which is wrong since Exp[r^2] is not a function of theta or phi.
>
>
> Why is Mathematica giving this result?
>
> Thanks!
> Pete

But it is not wrong. Try

Laplacian[ Exp[r^2] ]//Simplify

It is, perhaps, a little surprising that Mathematica does not see fit 
to simplify automatically.
==========
Hugh Walker
Gnarly Oaks


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