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RE: This should evaluate to zero

  • To: mathgroup at
  • Subject: [mg39948] RE: [mg39926] This should evaluate to zero
  • From: F.H.Simons at
  • Date: Thu, 13 Mar 2003 03:00:28 -0500 (EST)
  • Sender: owner-wri-mathgroup at

It seems to be known that no general algorithm exists for simplification of
expressions. Therefore Simplify and FullSimplify are just boxes of tricks
that might simplify certain expressions. No matter how large the boxes are,
we can always find expressions for which Simplify and FullSimplify will not
work. So the boxes are not large enough to simplify your expression. But it
can be done by Mathematica:

x = ArcSinh[1] - Log[3363 + 2378*Sqrt[2]]/10;
Log[Exp[TrigToExp[x]] // FullSimplify]


Fred Simons
Eindhoven University of Technology

> -----Original Message-----
> From: jf.alcover at [mailto:jf.alcover at]
To: mathgroup at
> Sent: woensdag 12 maart 2003 8:28
> To: mathgroup at
> Subject: [mg39948] [mg39926] This should evaluate to zero
> Bonjour,
> Methinks that the following expression should evaluate to zero,
> but it does not, even with FullSimplify :
>     ArcSinh[1]-Log[3363+2378*Sqrt[2]]/10
> Could anyone explain ?

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