XPost: sci.math   
   From: ivgroups@onlinehome.de   
      
   "Richard Fateman"  schrieb im Newsbeitrag   
   news:ltg6uo$28p$1@speranza.aioe.org...   
   >>> No.   
   >> How we do it by hand: If we use the inverse operation (inverse function)   
   >> of the outer function in each step. (The roots of algebraic functions   
   >> can be determined numerically or symbolically - e.g. by the Buchberger   
   >> algorithm.)   
   >> How is that realized in computer algebra systems, and how   
   >> powerful/complete are this methods/algorithms?   
   > How does your method work for solving for x in    exp(x)=log(x) ?   
   O.k., is this the only problem?   
   Was the performance of the various known algorithms studied?   
   Where?   
   Mathematica 7 and Maple 13 seem to transform the equations not always   
   suitable. Which algorithms do they use?   
      
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