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MathGroup Archive 2004

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Re: Finding the Fourier transform of discrete functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52607] Re: Finding the Fourier transform of discrete functions
  • From: Peter Pein <petsie at arcor.de>
  • Date: Sat, 4 Dec 2004 04:07:46 -0500 (EST)
  • References: <cohi1d$1fh$1@smc.vnet.net> <200412011057.FAA19902@smc.vnet.net> <comgk7$7a2$1@smc.vnet.net> <copa52$pmk$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Jens-Peer Kuska wrote:
> Hi,
> 
> and you think that 1<=x<12 is discret, and not a infinite number
> of continuous values ?? Strange !
> 
> Regards
>   Jens
> 
> "DrBob" <drbob at bigfoot.com> schrieb im Newsbeitrag 
> news:comgk7$7a2$1 at smc.vnet.net...
> 
>>>>what is a "discrete function".
>>>>if it is a function, the parameter is continuous and FourierTransform[]
>>>>compute the transformation.
>>
>>A discrete function is a function with a discrete domain.
>>
>>For instance, this is a discrete function on the obvious domain:
>>
>>f[x_Integer]/;1<=x<=12 = Sin@x
     *^^^^^^^^*
>>It is NOT the Sin function, for the simple reason that the domain of a 
>>function (in math or mathematica) is part of its definition.
>>
>>Bobby
>>....

I think, it's his firm conviction that there are only 12 Integers x in 
the interval 1<=x<=12. ;-)

-- 
Peter Pein
10245 Berlin


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