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MathGroup Archive 2006

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Re: Lists of all values of a two-variable function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg64747] Re: [mg64735] Lists of all values of a two-variable function
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Thu, 2 Mar 2006 06:47:32 -0500 (EST)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

l1={a,b,c,d};
l2={e,f,g};

Outer[f[#1,#2]&,l1,l2]//Flatten

{f(a,e),f(a,f),f(a,g),f(b,e),f(b,f),f(b,g),f(c,e),f(c,f),f(c,g),f(d,e),f(d,
    f),f(d,g)}

l1={a,b,a,d};
l2={e,f,e};

Outer[f[#1,#2]&,l1,l2]//Flatten//Union

{f(a,e),f(a,f),f(b,e),f(b,f),f(d,e),f(d,f)}


Bob Hanlon

> 
> From: José Carlos Santos <jcsantos at fc.up.pt>
To: mathgroup at smc.vnet.net
> Subject: [mg64747] [mg64735] Lists of all values of a two-variable function
> 
> Hi all,
> 
> I would like to do this: given a function _f_ in two variables and two
> lists l1 and l2, to get the list of all values f[a,b] with _a_ in l1 and
> _b_ in l2, with all duplicated values removed. How do I do that?
> 
> The closest thing that I am able to do is:
> 
> Table[f[l1[[i]],l2[[j]]],{i,1,Length[l1]},{j,1,Length[l2]}]
> 
> but, of course:
> 
> 1) what I get is a list of lists;
> 
> 2) I eventually get duplicated values.
> 
> Best regards,
> 
> Jose Carlos Santos
> 
> 


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