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MathGroup Archive 2003

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Re: This should evaluate to zero

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40009] Re: This should evaluate to zero
  • From: Bill Rowe <listuser at earthlink.net>
  • Date: Fri, 14 Mar 2003 04:47:51 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 3/13/03 at 3:06 AM, atelesforos at hotmail.com (Orestis Vantzos) wrote:

>Actually, ArcSinh[1] is equal to Log[1+Sqrt[2]] Orestis

In[1]:=
Exp[Log[3363+2378*Sqrt[2]]/10]-Exp[-
                Log[3363+2378*Sqrt[2]]/10]//PowerExpand//FullSimplify

Out[1]=
2

So, the original poster's expectation for ArcSinh[1]-Log[3363+2378*Sqrt[2]]/10 to simplify to zero is not unreasonable. I assume the reason FullSimplify did not reduce this expression to zero is there aren't rules built in to relate ArcSinh to expressions with Log.


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