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Education > Math Recreational > Re: -- An exact...
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Re: -- An exact simplification challenge - 54 (elementary functions'

by Vladimir Bondarenko <vb@[EMAIL PROTECTED] > Mar 24, 2008 at 10:10 AM

I know.

So you rediscovered a defect in Maple's MmaTranslator
discovered by the VM machine about 2 years ago.

:)

?MmaTranslator,FromMma

"The FromMma(Mma_input) calling sequence translates
Mathematica input into its Maple input equivalent."

But Maple's input is not equivalent to Mathematica's one.



On Mar 24, 8:30=A0am, Axel Vogt <&nore...@[EMAIL PROTECTED]
> wrote:
> Vladimir Bondarenko wrote:
> > evalf(-2*arctan(25/8*2^(1/2))-2*arctan(8/3)+(3+4*I)*Pi);
>
> > 4.304187764+12.56637062*I
>
> > Ummm... near this, but it sounds like your result
> > has some room for further compression :)
>
> > Chop[N[Pi+2 I (2 ArcCot[1/2+(-1)^(3/4)]+Log[(Root[73+112 #1 +
> > 146 #1^2 + 48 #1^3 + 9 #1^4 &, 3] Root[9 + 60 #1 + 182 #1^2 +
> > 188 #1^3 + 73 #1^4 &,1]^(1 + I))/Root[81- 324 #1 - 666 #1^2 +
> > 1980 #1^3 + 5329 #1^4 &, 3]^I])]]
>
> > 0
>
> > ;)
>
> > On Mar 24, 7:42 am, Axel Vogt <&nore...@[EMAIL PROTECTED]
> wrote:
> >> Vladimir Bondarenko wrote:
>
> >> ...
>
> >>> Pi + 2 I (2 ArcCot[1/2 + (-1)^(3/4)] + Log[(Root[73 + 112 #1 +
> >>> 146 #1^2 + 48 #1^3 + 9 #1^4 &, 3] =A0Root[9 + 60 #1 + 182 #1^2 +
> >>> 188 #1^3 + 73 #1^4 &,1]^(1 + I))/Root[81 - 324 #1 - 666 #1^2 +
> >>> 1980 #1^3 + 5329 #1^4 &, 3]^I])
> >>> =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 ?
> >> -2*arctan(25/8*2^(1/2))-2*arctan(8/3)+(3+4*I)*Pi
>
> "Pi + 2 I (2 ArcCot[1/2 + (-1)^(3/4)] + Log[(Root[73 + 112 #1 +
> 146 #1^2 + 48 #1^3 + 9 #1^4 &, 3] =A0Root[9 + 60 #1 + 182 #1^2 +
> 188 #1^3 + 73 #1^4 &,1]^(1 + I))/Root[81 - 324 #1 - 666 #1^2 +
> 1980 #1^3 + 5329 #1^4 &, 3]^I])":
> convert(%,FromMma): lprint(%);
>
> =A0 =A0Pi+2*I*(2*Pi-2*arccot(-1/2-(-1)^(3/4))+ln(
> =A0 =A0 =A0RootOf(73+112*_Z+146*_Z^2+48*_Z^3+9*_Z^4,index =3D 1)*
> =A0 =A0 =A0RootOf(9+60*_Z+182*_Z^2+188*_Z^3+73*_Z^4,index =3D 3)^(1+I)/
> =A0 =A0 (RootOf(81-324*_Z-666*_Z^2+1980*_Z^3+5329*_Z^4,index =3D 4)^I)))
>
> =A0 =A0evalf[30](%): evalf(%);
>
> =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 =A0 4.3041877626100 + 12.566370614359 I-
H=
ide quoted text -
>
> - Show quoted text -
 




 18 Posts in Topic:
-- An exact simplification challenge - 54 (elementary functions'
Vladimir Bondarenko <v  2008-03-24 05:59:36 
Re: -- An exact simplification challenge - 54 (elementary functi
Axel Vogt <&norepl  2008-03-24 15:42:43 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-24 08:11:54 
Re: -- An exact simplification challenge - 54 (elementary functi
Axel Vogt <&norepl  2008-03-24 16:30:18 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-24 10:10:21 
Re: -- An exact simplification challenge - 54 (elementary functi
Axel Vogt <&norepl  2008-03-24 19:34:50 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-24 11:58:59 
Re: -- An exact simplification challenge - 54 (elementary functi
Axel Vogt <&norepl  2008-03-24 21:30:59 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-24 14:27:04 
Re: -- An exact simplification challenge - 54 (elementary functi
Mate <mmatica@[EMAIL P  2008-03-25 07:29:45 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-25 11:33:22 
Re: -- An exact simplification challenge - 54 (elementary functi
roberson@[EMAIL PROTECTED  2008-03-25 18:47:35 
Re: -- An exact simplification challenge - 54 (elementary functi
Dave <someplace@[EMAIL  2008-03-25 19:18:10 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-25 13:25:51 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-25 13:44:48 
Re: -- An exact simplification challenge - 54 (elementary functi
Dave <foo@[EMAIL PROTE  2008-03-25 22:10:57 
Re: -- An exact simplification challenge - 54 (elementary functi
Vladimir Bondarenko <v  2008-03-26 02:36:30 
Re: -- An exact simplification challenge - 54 (elementary functi
Peter Pein <petsie@[EM  2008-03-28 00:58:56 

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tan12V112 Sat Oct 11 10:45:20 CDT 2008.