Re: Two related question. Question 1

• To: mathgroup at smc.vnet.net
• Subject: [mg57525] Re: [mg57498] Two related question. Question 1
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Tue, 31 May 2005 04:59:31 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```f=#1^2+#2&;

c=f[#1,#2]^2&;

f[a,b]

a^2 + b

c[a,b]

(a^2 + b)^2

Bob Hanlon

>
> From: kazimir04 at yahoo.co.uk (Kazimir)
To: mathgroup at smc.vnet.net
> Date: 2005/05/29 Sun PM 09:00:17 EDT
> Subject: [mg57525] [mg57498] Two related question. Question 1
>
> I have two related question. Let me introduce a pure function
>
> f = #1^2 + #2 &
>
> Now. I want to make an operation over the function, for example to
> find its square and to call the result (the expected function f = (#1^2
> + #2)^2 & ) c:
>
> c=f^2
>
> However, I do not obtain this, as
>
> c[a,b]
>
> does not evaluate to (a+b)^2. Can anybody advise me how to obtain
> such a function without long substitutions. I would like to obtain
> something which is made for derivatives :
>
> In[11]:=
> Derivative[1][f]
>
> Out[11]=
> 2 #1&
>
> In[12]:=
> Derivative[2][f]
>
> Out[12]=
> 2&
>
> Regards
>