Re: Re: Re: Finding the Fourier transform of discrete functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg52662] Re: Re: Re: Finding the Fourier transform of discrete functions*From*: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>*Date*: Tue, 7 Dec 2004 04:09:59 -0500 (EST)*Organization*: Uni Leipzig*References*: <cohi1d$1fh$1@smc.vnet.net> <200412011057.FAA19902@smc.vnet.net> <comgk7$7a2$1@smc.vnet.net> <200412030853.DAA26040@smc.vnet.net> <cos159$dl7$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Hi, I think x_Integer is a pattern, that stand for any integer number, it is a symbolic expression and the description "discrete" apply not to a symbolic expressions. Regards Jens "DrBob" <drbob at bigfoot.com> schrieb im Newsbeitrag news:cos159$dl7$1 at smc.vnet.net... > No, I think x_Integer is discrete. > > Obviously. > > Bobby > > On Fri, 3 Dec 2004 03:53:37 -0500 (EST), Jens-Peer Kuska > <kuska at informatik.uni-leipzig.de> 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 >>> >>> On Wed, 1 Dec 2004 05:57:38 -0500 (EST), Jens-Peer Kuska >>> <kuska at informatik.uni-leipzig.de> wrote: >>> >>>> Hi, >>>> >>>> what is a "discrete function". If it is discrete you have a array of >>>> discrete data and Fourier[] compute the DFT of the array, if it is >>>> a function, the parameter is continuous and FourierTransform[] >>>> compute the transformation. >>>> >>>> Regards >>>> Jens >>>> >>>> >>>> "Luca" <luca at nospam.it> schrieb im Newsbeitrag >>>> news:cohi1d$1fh$1 at smc.vnet.net... >>>>> I found out it's possible to determine the Fourier transform of a >>>>> function. I tried to look for the discrete fourier transform in the >>>>> guide, but I can find the item in the list without any explaination of >>>>> the function. Is it possible to find the Fourier transform of a >>>>> discrete function? >>>>> Thanks to everyone. >>>>> >>>>> Luca >>>>> >>>> >>>> >>>> >>>> >>>> >>> >>> >>> >>> -- >>> DrBob at bigfoot.com >>> www.eclecticdreams.net >>> >> >> >> >> >> > > > > -- > DrBob at bigfoot.com > www.eclecticdreams.net >

**Follow-Ups**:**Re: Re: Re: Re: Finding the Fourier transform of discrete functions***From:*DrBob <drbob@bigfoot.com>

**References**:**Re: Finding the Fourier transform of discrete functions***From:*"Jens-Peer Kuska" <kuska@informatik.uni-leipzig.de>

**Re: Re: Finding the Fourier transform of discrete functions***From:*"Jens-Peer Kuska" <kuska@informatik.uni-leipzig.de>