       Re: Applying a list of functions to a single number

• To: mathgroup at smc.vnet.net
• Subject: [mg74538] Re: Applying a list of functions to a single number
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Sat, 24 Mar 2007 05:25:39 -0500 (EST)
• Organization: The Open University, Milton Keynes, UK
• References: <eu1peu\$eu1\$1@smc.vnet.net>

```siewsk at bp.com wrote:
> Applying a list of functions to a single number
> =================================
>
> I have
>
> Square[x_]:=x^2
> Cube[x_]:=x^3
>
> I have tried
>
> In:={Square,Cube} @ 5
>
> Out:= {Square,Cube}
>
> But what I wanted is a list containing
>
>  {25,125}
>
> Obviously I'm doing this the wrong way. What is the correct way?
>
>

What you need is the function *Through* [1, 2]. For instance,

In:=
square[x_] := x^2
cube[x_] := x^3
Through[{square, cube}]

Out=
{25, 125}

Note that Square (with a capital S) is already defined in Mathematica.
Indeed, every Mathematica function starts with an uppercase letter (this
is a convention established ages ago by Wolfram Research). To avoid any
clash, it is better to use user-defined names starting with a lowercase
letter.

Regards,
Jean-Marc

 http://documents.wolfram.com/mathematica/functions/Through

 "2.2.9 Advanced Topic: Working with Operators",
http://documents.wolfram.com/mathematica/book/section-2.2.9

```

• Prev by Date: Re: Applying a list of functions to a single number
• Next by Date: Re: a suprising result from Integrate (Null appeared in the
• Previous by thread: Re: Applying a list of functions to a single number
• Next by thread: Re: Applying a list of functions to a single number