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Re: Simplification ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38079] Re: Simplification ?
  • From: "Allan Hayes" <hay at haystack.demon.co.uk>
  • Date: Tue, 3 Dec 2002 04:28:49 -0500 (EST)
  • References: <as5pn8$ngo$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Olivier,

Allowing x to be any complex number

    Sqrt[x^2] = x if x is not negative and
                 = -x if x is negative

We can make  us of this as follows

    Simplify[Sqrt[x^2],Not[x<0]]

        x

    Simplify[Sqrt[x^2],x<0]

        -x

We can force the reduction by

    PowerExpand[Sqrt[x^2]]

        x

--
Allan

---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565


"Olivier Durussel" <olivier.durussel at epfl.ch> wrote in message
news:as5pn8$ngo$1 at smc.vnet.net...
> Hi,
>
> Is there a way to force Mathematica to simplify the terms like
>
> Sqrt[x^2]
>
> to give  x ???
>
> Thanks per advance !
> ___________________________________________________________
> Olivier DURUSSEL
>
> Ecole Polytechnique Fédérale de Lausanne
> STI-IPR-LCSM
> ME-Ecublens
> CH-1015 Lausanne
> Tél.: +41 21 693 53 17
> Fax.:+41 21 693 35 09
>
>
>




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