Re: Re: Applying a list of functions to a list of arguments

• To: mathgroup at smc.vnet.net
• Subject: [mg57444] Re: [mg57377] Re: [mg57309] Applying a list of functions to a list of arguments
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Sat, 28 May 2005 05:39:07 -0400 (EDT)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• References: <200505260831.EAA18668@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```This problem also reminds me of a simpler one:  Given

f = {f1, f2, f3};
a = (* some number *)

what are nice ways of producing the following result?

{f1[a], f2[a], f3[a]}

Th
Wolf, Hartmut wrote:
>>-----Original Message-----
>>From: D M Yates [mailto:yatesd at mac.com]
To: mathgroup at smc.vnet.net
>
>>Sent: Tuesday, May 24, 2005 11:13 AM
>>Subject: [mg57444] [mg57377] [mg57309] Applying a list of functions to a list of arguments
>>
>>I have a list of functions, and a list of arguments:
>>
>>For example,
>>f = {f1, f2, f3}
>>a = {a1,a2,a3}
>>
>>I would like to return
>>{f1[a1],f2[a2],f3[a3]}
>>
>>I thought this should easy, but am stumped. Obviously the lists are of
>>equal, but arbitrary length, and the arguments may or may not
>>be atomic
>>expressions. In my particular case, the arguments are likely to be
>>combinations of Real, and List[Real,...], but I hope this is
>>irrelevant.
>>
>>Any suggestions?
>>
>>Many thanks,
>>
>>Derek Yates
>>
>>
>
>
> This is indeed a FAQ.
>
> If you like to consider your list of arguments as a list of argument
> lists (of one argument here):
>
> In[8]:= aa = Partition[a,1]
> Out[8]= {{a1}, {a2}, {a3}}
>
> then
>
> Out[9]= {f1[a1], f2[a2], f3[a3]}
>
>
> else
>
> Out[10]= {f1[a1], f2[a2], f3[a3]}
>
> --
> Hartmut Wolf
>
>

--
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

```

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