Weird result in Mathematica 6

*To*: mathgroup at smc.vnet.net*Subject*: [mg76393] Weird result in Mathematica 6*From*: Sebastian Meznaric <meznaric at gmail.com>*Date*: Mon, 21 May 2007 06:01:21 -0400 (EDT)

I was playing around with Mathematica 6 a bit and ran this command to solve for the inverse of the Moebius transformation FullSimplify[ Reduce[(z - a)/(1 - a\[Conjugate] z) == w && a a\[Conjugate] < 1 && w w\[Conjugate] < 1, z]] This is what I got as a result: -1 < w < 1 && -1 < a < 1 && z == (a + w)/(1 + w Conjugate[a]) Why is Mathematica assuming a and w are real? The Moebius transformation is invertible in the unit disc regardless of whether a and w are real or not. Any thoughts?

**Follow-Ups**:**Re: Re: Mathematica 6(on linux) and beagle***From:*gardyloo@mail.wsu.edu

**Mathematica 6(on linux) and beagle***From:*gardyloo@mail.wsu.edu

**Re: Weird result in Mathematica 6***From:*Sebastian Meznaric <meznaric@gmail.com>

**Re: Weird result in Mathematica 6***From:*Sebastian Meznaric <meznaric@gmail.com>

**Re: Weird result in Mathematica 6***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>

**Re: Weird result in Mathematica 6***From:*Carl Woll <carlw@wolfram.com>