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Re: a little more complex list operation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40244] Re: a little more complex list operation
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 28 Mar 2003 04:28:08 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <b5uoth$lks$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,


a)  {f[#[[1]]], g[#[[2]]]} & /@ data

b)  Transpose[Map @@@ Transpose[{{f, g}, Transpose[data]}]]

c)  Transpose[MapAt[f /@ # &, MapAt[g /@ # &, Transpose[data], {2}],
{1}]]

d)  MapAt[g, MapAt[f, data, Table[{i, 1}, {i, 1, Length[data]}]], 
      Table[{i, 2}, {i, 1, Length[data]}]]

and several more.

Regards
  Jens

Nathan Moore wrote:
> 
> Thanks very much for all the previous replies.  Another simple question -
> though I guess this will require more complex syntax.  Suppose I have the
> list,
> 
> data = {{x1,y1},{x2,y2},{x3,y3}}
> 
> and I want to produce the result (for fitting/plotting)
> 
> data2 = {{f[x1],g[y1]},{f[x2],g[y2]},{f[x3],g[y3]}}
> 
> I assume that if there was only one transform I wanted to apply, f[x],
> then I could say
>         data2 = f[data]
> but how about this more complicated transform with functions f and g?
> 
> again thanks!  Your replies have been very helpful!
> 
> Nathan Moore, University of Minnesota Physics


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