Re: Simplifying Complex expression
- To: mathgroup at smc.vnet.net
- Subject: [mg43093] Re: Simplifying Complex expression
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Tue, 12 Aug 2003 04:43:06 -0400 (EDT)
- Organization: The University of Western Australia
- References: <bgv903$5i3$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <bgv903$5i3$1 at smc.vnet.net>,
Helge Andersson <helge at envic.chalmers.se> wrote:
> specific conditions. My problem is to simplify the general complex solution
> to one that is real in the domain 0 to 1. The solution that I specifically
> is interested in is the following given in InputForm:
>
> 1/2 - (1 - I*Sqrt[3])/(4*(1 + 2*Sqrt[-1 + y]*Sqrt[y] - 2*y)^(1/3)) -
> ((1 + I*Sqrt[3])*(1 + 2*Sqrt[-1 + y]*Sqrt[y] - 2*y)^(1/3))/4
>
> Could someone give me an idea to perform this (for example with Simplify
> Command)
Further to my previous posting, one can use ComplexExpand directly:
Simplify[ComplexExpand[1/2 - (1 - I*Sqrt[3])/
(4*(1 + 2*Sqrt[-1 + y]*Sqrt[y] - 2*y)^(1/3)) -
((1 + I*Sqrt[3])*(1 + 2*Sqrt[-1 + y]*Sqrt[y] - 2*y)^(1/3))/4,
TargetFunctions -> {Re, Im}], 0 < y < 1]
Cheers,
Paul
--
Paul Abbott Phone: +61 8 9380 2734
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