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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,820 of 10,432    |
|    clicliclic@freenet.de to Nasser M. Abbasi    |
|    Re: what special about 18 in this integr    |
|    22 Feb 18 14:30:23    |
      "Nasser M. Abbasi" schrieb:       >       > How high a number "n" can your cas integrate this?       >       > 1/((1 + x^n)*(1 + x^2))       >       > Fricas 1.3.2 and Rubi 4.14.7 go up to n=18. Then after that, they       > return unevaluated.       >       > Mathematica gives an answer for higher than 18, but the result after       > 18 is in terms of Root objects. I tried up to n=100.       >       > Maple also can go higher than n=18, and it also gives results       > in terms of RootOf. Tried up to n=200. So to remove these Roots, one       > has to evaluate the answer numerically. I assume this is why Rubi and       > Fricas stop at n=18.       >       > Any insight why 18 is the limit here? Is it due to some       > factorization done, which after n=18 produces polynomials that       > can't be solved exactly for higher order?       >              Boooooooooo!              With respect to FriCAS, leaving higher-power integrands unevaluated       would constitute a super-massive bug!              Martin.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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