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Re: Finding the Fourier transform of discrete functions
*To*: mathgroup at smc.vnet.net
*Subject*: [mg52661] Re: Finding the Fourier transform of discrete functions
*From*: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
*Date*: Tue, 7 Dec 2004 04:09:55 -0500 (EST)
*Organization*: Uni Leipzig
*References*: <cohi1d$1fh$1@smc.vnet.net> <200412011057.FAA19902@smc.vnet.net> <comgk7$7a2$1@smc.vnet.net> <copa52$pmk$1@smc.vnet.net> <cos0k6$dgj$1@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
Hi,
f[x_Integer]]/;1<=x<=12 = Sin@x
say that for a integer x in [1,12] the function can be simplifyed to
Sin[x], it say *not* that for other arguments the function
is indeterminate. The additional definition
f[_]:=Indeterminate
would do that.
Regards
Jens
"Peter Pein" <petsie at arcor.de> schrieb im Newsbeitrag
news:cos0k6$dgj$1 at smc.vnet.net...
> 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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