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Applying multiple functions to multiple sets of arguements

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42608] Applying multiple functions to multiple sets of arguements
  • From: rishiroy at umich.edu (Rishi Roy)
  • Date: Fri, 18 Jul 2003 05:25:01 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

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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