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Re: Weird result in Mathematica 6

• To: mathgroup at smc.vnet.net
• Subject: [mg76426] Re: Weird result in Mathematica 6
• From: Bhuvanesh <BhuvaneshBhatt at gmail.com>
• Date: Tue, 22 May 2007 02:45:03 -0400 (EDT)

This is expected. From the Reduce documentation, under "More Information":

Reduce[expr, vars] assumes by default that quantities appearing algebraically in inequalities are real, while all other quantities are complex.

http://reference.wolfram.com/mathematica/ref/Reduce.html

So you need to specify Complexes as the domain:

Reduce[(z - a)/(1 - Conjugate[a]*z) == w && a*Conjugate[a] < 1 && w*Conjugate[w] < 1, z, Complexes]

Bhuvanesh,
Wolfram Research