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Re: Finding a function within an arbitrary expression

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  • Subject: [mg131357] Re: Finding a function within an arbitrary expression
  • From: "Dr. Wolfgang Hintze" <weh at snafu.de>
  • Date: Mon, 1 Jul 2013 05:48:18 -0400 (EDT)
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Am Sonntag, 30. Juni 2013 09:27:11 UTC+2 schrieb amannucci:
> I am trying to figure out what that pattern is for the following. The difficulty here is that I can think textually, but not in Mathematica patterns. 
> 
> 
> 
> I am looking for a function u[1,0] within a list of expressions. The function might not be defined yet. For example, a list of expressions might be:
> 
> 
> 
> {3*u[1,0], u[0,0]/10., 1/u[1,0], ...}
> 
> 
> 
> I want to find all the expressions that have the function u[1,0] in it. There is certainly a way to do this "textually". How would one do this with patterns? Is it possible? Thank you.

Hello,

You could use this function which looks even for a general pattern "pat" rather than just u[1,0]

f[pat_] = Complement[#1, Select[#1, FreeQ[#1, pat] & ]] &

Examples 

x = {3*u[1, 0], u[0, 0]/10., 1/u[1, 0], u[1, 0]/2., b*Sqrt[u[1, 0]]}


In[83]:= f[u[1, 0]][x]
Out[83]= {1/u[1, 0], b*Sqrt[u[1, 0]], 0.5*u[1, 0], 3*u[1, 0]}

In[82]:= f[u[0, 0]][x]
Out[82]= {0.1*u[0, 0]}

Best regards,
Wolfgang



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