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rule scoping: bug or feature?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37504] rule scoping: bug or feature?
  • From: Achim Rosch <trest.trest at gmx.de>
  • Date: Sat, 2 Nov 2002 03:30:23 -0500 (EST)
  • Organization: University of Karlsruhe, Germany
  • Sender: owner-wri-mathgroup at wolfram.com

Is the following a bug or a feature?

I had expected that

In[1]:= rep={f[x1_,x2_]->x2};

defines a replacement rule, where f is replaced by its second argument.
However,

In[2]:= Table[ {x1 ,f[x2,x1] /.rep} , {x2, 1,2},{x1, 1,2}]

gives

Out[2]= {{{1, 1}, {2, 1}}, {{1, 2}, {2, 2}}}

instead of {{{1,1},{2,2}},{{1,1},{2,2}}} obviously because the value for
x2 in the rule "rep" is not determined from the pattern at the LHS but
from the summation argument.
I assumed, that definitions involving patterns are always local...

Any thoughts? Thanks for your help

 Achim

P.S. One solution for the problem is to use :> innstead of ->



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