FullSimplify trick

• To: mathgroup at smc.vnet.net
• Subject: [mg12738] FullSimplify trick
• From: "Arturas Acus" <acus at itpa.lt>
• Date: Fri, 5 Jun 1998 02:04:18 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```Hello,

I just like to show this stange behaviour of FullSimplify on Win95
(Mathematica 3.0).

In[1]:=
FullSimplify[Cos[q3+qp1+qp3]-I Sin[q3+qp1+qp3]] Out[1]=
Cos[q3+qp1+qp3]-I Sin[q3+qp1+qp3]

In[2]:=
FullSimplify[TrigToExp[Cos[q3+qp1+qp3]-I Sin[q3+qp1+qp3]]] Out[2]=
E^((-I)*(q3 + qp1 + qp3))

In[3]:=
{LeafCount[%1],LeafCount[%2]}
Out[3]=
{15,10}

Ofcourse,  simplification is in some sence an art, but stil one  wishes
better performance. Also I have noticed that sometimes
Fullsimplification gives much more better rezults when ExpToTrig  is
applied before.
Arturas Acus
Institute of Theoretical
Physics and Astronomy
Gostauto 12, 2600,Vilnius
Lithuania

E-mail: acus at itpa.lt
Fax: 370-2-225361
Tel: 370-2-612906

```

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