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mapping of function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69914] mapping of function
  • From: dimmechan at yahoo.com
  • Date: Wed, 27 Sep 2006 06:05:12 -0400 (EDT)

Hello.

I am working on John Gray's Book Mastering Mathematica.

Here is one simple expression.

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

I am thinking of ways to map the sine function only to {x,z}.
Here are some alternatives I considered.

MapAt[Sin, exp1, Flatten[(Position[exp1, #1] & ) /@ Variables[exp1],
1]]
Sin[x]^3 + (1 + Sin[z])^2

MapAt[Sin, exp1, Position[exp1, _Symbol, Heads -> False]]
Sin[x]^3 + (1 + Sin[z])^2

Are there any other possibilities?

Thanks for any response.


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