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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.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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