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Re: Applying multiple functions to multiple sets of arguements

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42656] Re: Applying multiple functions to multiple sets of arguements
  • From: "Carl K. Woll" <carlw at u.washington.edu>
  • Date: Sat, 19 Jul 2003 03:19:40 -0400 (EDT)
  • Organization: University of Washington
  • References: <bf8f5g$5ne$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Rishi,

How about

Outer[#1[#2] &, {f1, f2, f3}, {x1, x2}]

Carl Woll
Physics Dept
U of Washington

"Rishi Roy" <rishiroy at umich.edu> wrote in message
news:bf8f5g$5ne$1 at smc.vnet.net...
> Hi all.  I was hoping someone cold help me.  I wanted a way to apply
> an arbitrary number of functions to an arbitrary number of sets of
> arguments.
>
> Meaning if I have n functions: {f1, f2, ...,fn} and m sets of
> arguments: {x1, x2, ..., xm}, how can I generate a list like:
> {{f1[x1], f1[x2], ...,f1[xm]},{f2[x1], f2[x2],
> ...,f2[xm]},...,{fn[x1], fn[x2], ...,fn[xm]}}?
>
> I am currently doing this by looping throgh both lists and populating
> each results one by one.  As expecting this is horribly slow.  I was
> hoping someone could recommend a faster, functional way to do this.  I
> tried using map, but couldnt get a handle on it.
>
> Any help would be greatly appreciated.  Thank you in advance.
>
> Rishi Roy
>



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