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Re: An exact simplification challenge - 60 (LerchPhi, dilog) -

by Vladimir Bondarenko <vb@[EMAIL PROTECTED] > May 10, 2008 at 07:52 PM

David W. Cantrell <DWCantr...@[EMAIL PROTECTED]
> writes:

DWC>  Fascinating! Where can I get a copy of Derive 8.07 ?

Same question here.

I would buy Derive 8.07 for $2000 without a fraction of
second of hesitation.

On May 10, 3:35=A0pm, David W. Cantrell <DWCantr...@[EMAIL PROTECTED]
> wrote:
> cliclic...@[EMAIL PROTECTED]
 wrote:
> > Vladimir Bondarenko schrieb:
>
> > > Hello CAS Fan the Earthling,
>
> > > [...] is there an Audacious Warrior the Simplifier to come up with
> > > a sequence of CAS commands to "elementarize" this
>
> > > =A0 =A0 =A0 =A0 =A0 LerchPhi(1/9, 2, 1/2) - 3*dilog(3/4)
>
> > Derive 8.07
>
> Fascinating! Where can I get a copy of Derive 8.07 ?
>
> David
>
>
>
> > handles this automatically in a fraction of a second as follows:
>
> > LERCH_PHI(1/9,2,1/2)-3*DILOG(3/4)
>
> > " -> "
>
> > 2*(LERCH_PHI(1/3,2,1)+LERCH_PHI(-1/3,2,1))-3*DILOG(3/4)
>
> > " -> "
>
> > 2*(DILOG(2/3)/(1/3)+DILOG(4/3)/(-1/3))-3*DILOG(3/4)
>
> > " -> "
>
> > 2*(3*(-DILOG(3/2)-LN(2/3)^2/2)-3*DILOG(4/3))-3*DILOG(3/4)
>
> > " -> "
>
> > -6*DILOG(4/3)-6*DILOG(3/2)-3*LN(3)^2+6*LN(2)*LN(3)-3*LN(2)^2-3*(-
> > DILOG(4/3)-L~
> > N(3/4)^2/2)
>
> > " -> "
>
> > -6*DILOG(4/3)-6*DILOG(3/2)-3*LN(3)^2+6*LN(2)*LN(3)-3*LN(2)^2-3*(-
> > DILOG(4/3)-(~
> > LN(3)-2*LN(2))^2/2)
>
> > -3*DILOG(4/3)-6*DILOG(3/2)-3*LN(3)^2/2+3*LN(2)^2
>
> > Numerically, this approximates to 3.248520221. There are obvious
> > problems with the rule strings here. Also note that Derive assumes
> > dilog(z) =3D Li_2(1-z); cf. Wikipedia at
<http://en.wikipedia.org/wiki/
> > Polylogarithm>.
>
> > Martin.- Hide quoted text -
>
> - Show quoted text -
 




 10 Posts in Topic:
An exact simplification challenge - 60 (LerchPhi, dilog) - Daunt
Vladimir Bondarenko <v  2008-05-10 09:09:10 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
clicliclic@[EMAIL PROTECT  2008-05-10 15:02:22 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) - D
David W. Cantrell <DWC  2008-05-10 22:35:35 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
Vladimir Bondarenko <v  2008-05-10 19:52:22 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
Vladimir Bondarenko <v  2008-05-10 19:58:00 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
clicliclic@[EMAIL PROTECT  2008-05-10 23:33:47 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
Vladimir Bondarenko <v  2008-05-11 02:42:25 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
clicliclic@[EMAIL PROTECT  2008-05-12 00:10:23 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
Vladimir Bondarenko <v  2008-05-12 00:38:25 
Re: An exact simplification challenge - 60 (LerchPhi, dilog) -
clicliclic@[EMAIL PROTECT  2008-05-12 01:39:06 

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