Re: Fourier Transfer and a game?!?!

• To: mathgroup at smc.vnet.net
• Subject: [mg54233] Re: Fourier Transfer and a game?!?!
• From: Paul Abbott <paul at physics.uwa.edu.au>
• Date: Mon, 14 Feb 2005 00:57:49 -0500 (EST)
• Organization: The University of Western Australia
• References: <cuf5kg\$god\$1@smc.vnet.net> <cukb23\$lmi\$1@smc.vnet.net> <cump6f\$3t9\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```In article <cump6f\$3t9\$1 at smc.vnet.net>, Maxim <ab_def at prontomail.com>
wrote:

> Here's how we can apply Fourier to this problem:
>
> In[2]:=
> F = Fourier;
> IF = InverseFourier;
> SetOptions[#, FourierParameters -> {1, 1}]& /@ {F, IF};
>
> Module[{L},
>    L = PadRight[{0., .35, .35, .15, .15}, 13];
>    IF[.4*F[L]^0 + .35*F[L]^1 + .15*F[L]^2 + .1*F[L]^3] // Chop
> ]

[1] SetOptions accepts a list of functions:

SetOptions[{Fourier, InverseFourier}, FourierParameters -> {1, 1}]

[2] One can use the Dot product as follows:

InverseFourier[{0.4, 0.35, 0.15, 0.1} .
(Fourier[PadRight[{0., 0.35, 0.35, 0.15, 0.15}, 13]]^# & /@
{0, 1, 2, 3})]

There can be a problem with 0^0 using either approach.

Cheers,
Paul

--
Paul Abbott                                   Phone: +61 8 6488 2734
School of Physics, M013                         Fax: +61 8 6488 1014
The University of Western Australia      (CRICOS Provider No 00126G)
35 Stirling Highway
Crawley WA 6009                      mailto:paul at physics.uwa.edu.au
AUSTRALIA                            http://physics.uwa.edu.au/~paul

```

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