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MathGroup Archive 2004

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Re: Re: Poles and Complex Factoring

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52102] Re: [mg52097] Re: [mg6011] Poles and Complex Factoring
  • From: "yehuda ben-shimol" <benshimo at bgu.ac.il>
  • Date: Thu, 11 Nov 2004 04:52:01 -0500 (EST)
  • References: <200411100946.EAA11299@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Use the GaussianIntegers option
Factor[ x^2 + 2x + 10,GaussianIntegers->True ] 
 and get 

((1-3 I)+x) ((1+3 I)+x)
yehuda
 
-------Original Message-------
 
From: bokat
To: mathgroup at smc.vnet.net
Subject: [mg52102] [mg52097] Re: [mg6011] Poles and Complex Factoring
 
the complex factoring is wrong
 
On 11 Feb 1997 01:29:40 -0500, peter wrote:
>Dear All,
>
>I know how to calculate the residue of a fuction using Mathematica, but how
can I
>use Mathematica to calculate the order of a complex pole?
>
>It would also be nice for Mathematica to tell me if a particular
singularity
is an
>essential singularity, removable singularity or a pole...but this is
not
>necessary; just icing on the cake.
>
>Also, is there a way to factor polynomials with imaginary roots?
>Something like:
>
>    Factor[ x^2 + 2x + 10 ]  =  (x - 1 + 4.5 I)(x - 1 - 4.5 I)
>
>Much thanks in advance!
>
>Peter
>


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