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Re: Why the FourierTransform gives two different answers?

• To: mathgroup at smc.vnet.net
• Subject: [mg125115] Re: Why the FourierTransform gives two different answers?
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Wed, 22 Feb 2012 05:31:10 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

On 2/21/12 at 6:17 AM, avderov at gmail.com wrote:

>Why the FourierTransform gives two different answers?

>In[1]     FourierTransform[ (t - 5.0)^2*Exp[-(t - 5.0)^2 ], t, w]

>In[2]     FourierTransform[ (t - 5)^2*  Exp[-(t - 5)^2 ], t, w]

For input 1 you are using machine precision arithmetic and are
subject to the limitations of your hardware. This is the nature
of using machine precision arithmetic.

For input 2 you are using exact arithmetic.