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Re: mapping of function revisited

  • To: mathgroup at smc.vnet.net
  • Subject: [mg70050] Re: mapping of function revisited
  • From: Bill Rowe <readnewsciv at sbcglobal.net>
  • Date: Sun, 1 Oct 2006 04:09:39 -0400 (EDT)

On 9/27/06 at 6:05 AM, dimmechan at yahoo.com wrote:

>Searching a little more I found one more alternative

>exp1 = x^3 + (1 + z)^2;

>MapAt[Sin, exp1, Flatten[(Position[exp1, #1] & ) /@ Cases[exp1, _?(
>!NumberQ[#1] & ), {-1}], 1]]
>Sin[x]^3 + (1 + Sin[z])^2

>Are there any other alternatives? Especially with proper pattern
>matching?

<snip>

>Is it possible to obtain the previous result more compactly?

Yes,

In[4]:=
exp1 /. {x -> Sin[x], z -> Sin[z]}

Out[4]=
Sin[x]^3 + (Sin[z] + 1)^2
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