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Can't get Mathematica to evaluate correctly a difficult expression

• To: mathgroup at smc.vnet.net
• Subject: [mg111536] Can't get Mathematica to evaluate correctly a difficult expression
• From: Damien Wyart <damien.wyart at free.fr>
• Date: Wed, 4 Aug 2010 05:51:19 -0400 (EDT)

Hello,

I am using Mathematica 7.0.2 and playing a bit with an expression
analyzed in the following paper:
http://www.loria.fr/~zimmerma/papers/cise.pdf

I tried many constructions with N and SetPrecision and can't get
Mathematica to output the correct result (I am not very experienced with
Mathematica). Here is the expression :

173746*Sin[10^22]+94228*Log[17.1]-78487*Exp[0.42]

The correct result should be -1.341818958*10^-12 but even forcing each
term with N and a very large number, I am still not getting this value
at all.


Any help will be appreciated. Thanks in advance ; best regards,

-- 
Damien Wyart