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finding independent variable groups

• To: mathgroup at smc.vnet.net
• Subject: [mg32406] finding independent variable groups
• From: romoscanu at imes.mavt.ethz.ch (Ioan Alexandre Romoscanu)
• Date: Sat, 19 Jan 2002 01:16:43 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

I wonder if it is possible to do the following formula manipulation
task with Mathematica.

Suppose you have a function of 3 variables [x,y,z], where only the
ratio x/y occurs. Example

f[x_,y_,z_]=(x/y) Exp[z]

If now you have a large formula of more than 3 variables, where
however certain variables always occur grouped together, in the same
pattern (like x and y above).

Is there a way to make Mathematica find out such groups of variables
in a larger expression?

Thank you for any help

A.I.R.