MathGroup Archive 2001

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algebraic substitution rules

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30716] algebraic substitution rules
  • From: Cattiaux Isabelle <Isabelle.Cattiaux at univ-valenciennes.fr>
  • Date: Sat, 8 Sep 2001 02:55:46 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

                   
Hi,
                  
  Could someone tell me why the first substitution rule
 works and the second doesn't
                    
In[1]:==
1+x^2+x^3+x^4 /. {x^2->1+x ,x^3->x(1+x) ,x^4->(1+x)^2}

Out[1]==
2 + x + x(1 + x)+ (1 + x)^2
                   
In[78]:==
1+x^2+x^3+x^4 /. {x^2->1+x ,x^3->x(1+x) ,x^4->(1+x)^2,a_->Expand[a]}

Out[78]==
1 + x^2 + x^3 + x^4

--
Isabelle Cattiaux-Huillard
Universite de Valenciennes


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