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Re: defining a function of functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110478] Re: defining a function of functions
  • From: Raffy <adraffy at gmail.com>
  • Date: Sun, 20 Jun 2010 03:45:48 -0400 (EDT)
  • References: <hviav7$hbl$1@smc.vnet.net>

On Jun 19, 7:51 am, J Davis <texasauti... at gmail.com> wrote:
> I want to define an inner product function such as
>
> (here mylist is a specified list and L is a specified constant)
>
> innerprod[f_, g_] = Sum[f[k]Conjugate[g[k]]Part[mylist,k],{k,1,L}]
>
> This works fine but now I need to apply it in a situation where f is a
> function of 2 variables while g is a function of only one variable,
> i.e. I want to compute something like the inner product of f[2,n] and
> g[n].
>
> Of course, I want the ability to freely vary the first input of f.
>
> I have accomplish this before rather easily but I'm presently drawing
> a blank.
>
> Thanks for your help.
>
> Best,
> JD

There are multiple solutions, two of which are:

1. pass f as f[2,#]& => interprod[ f[2,#]&, g ]

2. redefine f[m, n] as f[m][n] => interprod[ f[2], g ]


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