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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 9,382 of 10,432   
   clicliclic@freenet.de to Nasser M. Abbasi   
   Re: The Risch algorithm   
   17 Apr 17 18:22:58   
   
   "Nasser M. Abbasi" schrieb:   
   >   
   > [...]   
   >   
   > btw, on the ln(x^2)=2*ln(x) issue. Could this be resolved by   
   > changing it to   
   >   
   >           ln(x^2) = 2*ln(|x|)   
   >   
   > Mathematica seems to agree   
   >   
   > Simplify[Log[x^2]-2 Log[Abs[x]]]   
   >     0   
   >   
      
   Zero also results on Derive 6.10 for the default assumption of real x,   
   but not for complex x, where the two logarithmic terms surely differ;   
   at x = #i one finds:   
      
     LN(#i^2) - 2*LN(ABS(#i)) = LN(-1) - 2*LN(1) = pi*#i - 0   
      
   for example. Since bugs as basic as yours should be rare in a mature   
   system like Mathematica, I prefer to assume that your x was somehow   
   implied to be real, perhaps because you defined it that way and forgot.   
      
   Martin.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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