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Re: Pattern Matching Problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43416] Re: Pattern Matching Problem
  • From: bghiggins at ucdavis.edu (Brian Higgins)
  • Date: Fri, 29 Aug 2003 07:16:31 -0400 (EDT)
  • References: <bihp1v$b3u$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Ted, Here is a kludge approach:

Flatten[{DeleteCases[expr, f[_, _], Infinity], 
   Apply[Plus, Split[Sort[Cases[expr, f[_, _], Infinity], #2[[2]] >
#1[[2]] & ], #1[[2]] == #2[[2]] & ], 1]}]

Cheers,

Brian


"Ersek, Ted R" <ErsekTR at navair.navy.mil> wrote in message news:<bihp1v$b3u$1 at smc.vnet.net>...
> Consider the following:
> 
> In[1]:=
>   ClearAll[f,a,b,c,w,x,y,z];
>   expr=a+b+c+f[w,2]+f[w,3]+x+f[x,2]+f[x,3]+y+f[y,2]+f[z,2];
> 
>   
> Can somebody suggest a general way to seperate the terms above into like
> groups. By "like" I mean having the same second argument for (f).  So for
> this example I want to get 
> 
> {a+b+c+x+y,  f[w,2]+f[x,2]+f[y,2]+f[z,2],   f[w,3]+f[x,3]}
> 
> The pattern matcher should be able to do this because Plus has attributes
> Flat and Orderless.  However I can't find a way to make it happen.
> 
> -------------------
> Thanks,
>    Ted Ersek


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