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

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   Message 8,691 of 10,432   
   clicliclic@freenet.de to Albert Rich   
   Re: rubi ability?   
   05 Nov 14 18:13:38   
   
   Albert Rich schrieb:   
   >   
   > On Tuesday, November 4, 2014 7:09:21 AM UTC-10, clicl...@freenet.de wrote:   
   >   
   > > You say that the Rubi 4.6 antiderivative for log(2+x)^3*log(3+x)*x^3   
   > > contains six polylogarithm functions. The Mathematica result quoted on   
   > > the web page referenced in the original post to this thread contains   
   > > just three of them. This could be considered an advantage since you say   
   > > that the size of the result is similar.   
   >   
   > Rubi does not automatically apply the Simplify function after   
   > integrating.  If Rubi result is simplified the 3 pairs of identical   
   > polylogarithm functions are respectively collected, resulting in just   
   > 3 polylogarithms just like Mathematica's antiderivative.   
   > Interestingly the two antiderivatives differ by the constant   
   > -144205/432.   
   >   
   > Simplification often results in collection over a common denominator.   
   > Thus in addition to the time required, automatically simplifying   
   > Rubi's results would destroy the terms of the antiderivative each of   
   > which is usually the elegant result of a single integration step.   
   > Also it is often the case that each of these terms is no more   
   > complicated than the original integrand; thereby making it possible   
   > for Rubi to integrate an expression multiple times.   
   >   
      
   Mmmmh :), Rubi appears to shape up well!   
      
   Martin.   
      
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