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RE: Strange behavior of Sort
 To: mathgroup at smc.vnet.net
 Subject: [mg12968] RE: [mg12941] Strange behavior of Sort
 From: Ersek_Ted%PAX1A at mr.nawcad.navy.mil
 Date: Sun, 28 Jun 1998 02:51:56 0400
 Sender: ownerwrimathgroup at wolfram.com
Edward Neuman wrote:


In Mathematica 3.0:

In[5]:=
li={1/Sqrt[2], 1, Sqrt[2]};

In[7]:=
Sort[li]//InputForm

Out[7]//InputForm=
{1, 1/Sqrt[2], Sqrt[2]}

Sort doesn't work properly on this list. 

Lets look at that some more.
In[1]:=
lst={1,0,1,2,2,Sqrt[2],Sqrt[2],1/Sqrt[2],1/Sqrt[2]};
As you pointed out simple application of Sort will not sort them in
increasing order.
In[2]:=
Sort[lst]//N
Out[2]=
{2., 1., 0, 1., 2., 0.707107, 0.707107, 1.41421, 1.41421}
If you want them sorted numerically you can specify an appropriate
ordering function.
In[3]:=
Sort[lst, Less]//N
Out[3]=
{2., 1.41421, 1., 0.707107, 0, 0.707107, 1., 1.41421, 2.}
Now what is the default ordering function? Dave Withoff posted it once,
but I didn't understand what he was saying.
Ted Ersek
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