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condition and pattern matching

• To: mathgroup at smc.vnet.net
• Subject: [mg44885] condition and pattern matching
• From: "ram" <amli at comcast.net>
• Date: Fri, 5 Dec 2003 05:31:55 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

I would like to integrate the function from {0,h}.

\!\(\((E\^\(\(-I\)\ k\ Abs[\(-h\) + z]\)\/Abs[\(-h\) + z] +
        E\^\(\(-I\)\ k\ Abs[h + z]\)\/Abs[h + z] -
        \(2\ E\^\(\(-I\)\ k\ Abs[z]\)\ Cos[h\ k]\)\/Abs[z])\)\ Csc[h\ k]\^2\
    Sin[k\ \((h - Abs[z])\)]\)

Is there any way that I can replace Abs function by its values?  I know that
the following cases for condition matching work

fac[n_ /; n > 0] := n!
m /:Greater[m,n]=True;
fac[m]
gg[m_,n_]:=m-n /; m>n
u/:Greater[u,v]=True;
gg[u,v]

But I can not find a way to apply  above ideas when expressions are
involved.  Thanks for any help.


Ram Kochhar

• Follow-Ups:
  • Re: condition and pattern matching
    • From: Daniel Lichtblau <danl@wolfram.com>