       Re: How to convert a list of functions in a list valued function

• To: mathgroup at smc.vnet.net
• Subject: [mg28296] Re: [mg28253] How to convert a list of functions in a list valued function
• From: jmt <jmt at agat.net>
• Date: Sat, 7 Apr 2001 03:44:57 -0400 (EDT)
• References: <200104060553.BAA28862@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Suppose your functions are :

f1=#&
f2=#^2&
f3=#^3&

You can define f[x] by :

f[x_]=Through[List[f1,f2,f3][x]]

and then, for instance :
f will give
{2,4,8}

If the functions are defined in a list, i.e.
funlist={f1,f2,f3}

you can use

f[x_]=Through[List[Sequence@@funlist][x]]

On Friday 06 April 2001 07:53, Thomas Neff wrote:
> I have a list of functions, say
>
> funlist = {f1, f2, f3, ..., fn}
>
> I want to construct a function f, so that
>
> f[x] gives the list {f1[x], f2[x], f3[x], ... fn[x]}
>
> f[x_] = funlist[x] doesn't work ;-(
>
> Is there an elegant way to do this in Mathematica ?
>
>
> Thanks
>
> Thomas

```

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