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MathGroup Archive 2003

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Re: Bug 3! Gaussian integration in 5.0 is broken!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43816] Re: Bug 3! Gaussian integration in 5.0 is broken!
  • From: Konstantin L Kouptsov <kouptsov at wsu.edu>
  • Date: Tue, 7 Oct 2003 02:40:55 -0400 (EDT)
  • Organization: Washington State University
  • References: <blj66o$1i8$1@smc.vnet.net> <bllo8p$bsh$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com


Indeed works. But as you can see, it does not generate the message that convergence cannot be 
checked. Thus, in this case Mathematica chooses a different evaluation route (using different 
rules), and avoids the one that is broken.

Thanks for the hint.

Konstantin.


Paul Abbott wrote:
> In article <blj66o$1i8$1 at smc.vnet.net>,
>  Konstantin L Kouptsov <kouptsov at wsu.edu> wrote:
> 
> 
>>Check this:
>>
>>Integrate[Exp[(I/h)*(x*Sqrt[B/2 + D] + x0)^2], {x, -Infinity, Infinity}]
>>
>>and observe the Erf[] functions that should not be there. Neither should x0.
> 
> 
> However, note the assumptions that Integrate makes. On the other hand,
> 
>   Assuming[x0 > 0 && B > 0 && D > 0 && h > 0,
>    Integrate[E^((I*(Sqrt[B/2 + D]*x + x0)^2)/h), 
>       {x, -Infinity, Infinity}]]
> 
> yields a reasonable result.
> 
> Cheers,
> Paul
> 


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