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How to copy pattern from one expression to another?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45254] How to copy pattern from one expression to another?
  • From: "Nico" <pipponep at hotmail.com>
  • Date: Wed, 24 Dec 2003 04:35:55 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi everyone and Merry Christmas!
Here's my issue: I have a vector such as
XX={{x11,x12,x13},x2,x3,x4,{x51,x52},x6,{x71,x72},x8} and I would like to
apply the same function F[x_] to each single element in it. This is indeed
pretty straightforward even to a very basic user like I am: I can first
Flatten[XX] and then apply F[Flatten[XX]]. What I get is then
YY={F[x11],F[x12],F[x12],...}.
The question is: how can I then have YY with the same pattern of XX, that is
YY_hat={{F[x11],F[x12],F[x12]},F[x2],....,{F[x51],F[x52]},F[x6],{F..,F}}?
I have tried but I'm afraid I cannot focus exactly the way I should approach
the problem.
Any suggestion anyone? I'd really appreciate it...

Kind regards and many thanks!
The Net


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