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MathGroup Archive 2003

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Re: Polynomial constructing

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43726] Re: Polynomial constructing
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Thu, 2 Oct 2003 02:51:22 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <blcps0$p0l$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <blcps0$p0l$1 at smc.vnet.net>,
 "S.Myslivets" <sam at iph.krasn.ru> wrote:

>  I  am  a  beginner in Mathematica and need a help. It is necessary to
>  generate  a set of n uniform polynomials of k_i-th order (i=1,...,n) of
>  n variables. For example for n=3 (vars={x1,x2,x3}), k={0,2,1} they should
>  look as
>       Pol1=a[1,0,0,0]
>       Pol2=a[2,2,0,0]x1^2+a[2,0,2,0]x2^2+a[2,0,0,2]x3^2+a[2,1,1,0]x1x2+a[2,1,0
>       ,1]x1x3+a[2,0,1,1]x2x3
>       Pol3=a[3,1,0,0]x1+a[3,0,1,0]x2+a[3,0,0,1]x3

You can construct these with the assistance of functions in

   <<Algebra`SymmetricPolynomials`

Cheers,
Paul

-- 
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