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Science Forum Index » Math - Symbolic Forum » An exact simplification challenge - 15
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Message |
| Vladimir Bondarenko |
 Posted: Sat Jun 02, 2007 8:23 am |
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Guest
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Hello the computer algebra fans,
Is there a person who can show in steps using a
CAS how to simplify the following expression
sqrt(32)*arctan(1/sqrt(2))+LerchPhi(-1/2,1,3/2)
?
Best wishes,
Vladimir Bondarenko
VM and GEMM architect
Co-founder, CEO, Mathematical Director
http://www.cybertester.com/ Cyber Tester, LLC
http://maple.bug-list.org/ Maple Bugs Encyclopaedia
http://www.CAS-testing.org/ CAS Testing |
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| David W. Cantrell |
| Posted: Sat Jun 02, 2007 9:30 am |
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Guest
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Vladimir Bondarenko <vb@cybertester.com> wrote:
Quote: Hello the computer algebra fans,
Is there a person who can show in steps using a
CAS how to simplify the following expression
sqrt(32)*arctan(1/sqrt(2))+LerchPhi(-1/2,1,3/2)
?
Using Mathematica 5.2:
In[1]:= Simplify[Sqrt[32]*ArcTan[1/Sqrt[2]] + LerchPhi[-1/2, 1, 3/2]]
Out[1]= 4
David |
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| dimitris |
| Posted: Sat Jun 02, 2007 10:08 am |
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Hi Vladimir.
I don't see a challenge here.
Various functions in Mathematica can be used
In[111]:=
o = Sqrt[32]*ArcTan[1/Sqrt[2]] + LerchPhi[-2^(-1), 1, 3/2]
Out[111]=
4*Sqrt[2]*ArcTan[1/Sqrt[2]] - 2*(-2 + 2*Sqrt[2]*ArcTan[1/Sqrt[2]])
In[112]:=
Through[{TrigExpand, Simplify, TrigFactor, TrigToExp, FullSimplify}
[o]]
Out[112]=
{4, 4, 4, 4, 4}
Dimitris
/ Vladimir Bondarenko :
Quote: Hello the computer algebra fans,
Is there a person who can show in steps using a
CAS how to simplify the following expression
sqrt(32)*arctan(1/sqrt(2))+LerchPhi(-1/2,1,3/2)
?
Best wishes,
Vladimir Bondarenko
VM and GEMM architect
Co-founder, CEO, Mathematical Director
http://www.cybertester.com/ Cyber Tester, LLC
http://maple.bug-list.org/ Maple Bugs Encyclopaedia
http://www.CAS-testing.org/ CAS Testing |
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| Vladimir Bondarenko |
| Posted: Sat Jun 02, 2007 11:30 am |
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On Jun 2, 8:08 am, dimitris <dimmec...@yahoo.com> writes:
DA> I don't see a challenge here.
Hi Dimitris,
You are absolutely right that this simplification
presents no challenge for Mathematica at all. I
do realize this fact and enjoy the powers behind
Mathematica.
In fact, over a decade Mathematica cracks this in
a split of a second.
I hear often that Maple is so much strong. This is
a myth. And now the time is coming to put, without
bias, Mathematica and Maple on the balance of
comparison. (In fact, this would take millions
of comparisons etc)
I just meant that some Maple persons would try to
handle this.
Quote: Hi Vladimir.
I don't see a challenge here.
Various functions in Mathematica can be used
In[111]:=
o = Sqrt[32]*ArcTan[1/Sqrt[2]] + LerchPhi[-2^(-1), 1, 3/2]
Out[111]=
4*Sqrt[2]*ArcTan[1/Sqrt[2]] - 2*(-2 + 2*Sqrt[2]*ArcTan[1/Sqrt[2]])
In[112]:=
Through[{TrigExpand, Simplify, TrigFactor, TrigToExp, FullSimplify}
[o]]
Out[112]=
{4, 4, 4, 4, 4}
Dimitris
/ Vladimir Bondarenko :
Hello the computer algebra fans,
Is there a person who can show in steps using a
CAS how to simplify the following expression
sqrt(32)*arctan(1/sqrt(2))+LerchPhi(-1/2,1,3/2)
?
Best wishes,
Vladimir Bondarenko
VM and GEMM architect
Co-founder, CEO, Mathematical Director
http://www.cybertester.com/ Cyber Tester, LLC
http://maple.bug-list.org/ Maple Bugs Encyclopaedia
http://www.CAS-testing.org/ CAS Testing |
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| Mate |
| Posted: Sat Jun 02, 2007 1:10 pm |
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On Jun 2, 4:23 pm, Vladimir Bondarenko <v...@cybertester.com> wrote:
Quote: Hello the computer algebra fans,
Is there a person who can show in steps using a
CAS how to simplify the following expression
sqrt(32)*arctan(1/sqrt(2))+LerchPhi(-1/2,1,3/2)
convert(%,compose,hypergeom,elementary);
4
Mate |
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