Symmetric polynomials
- To: mathgroup at smc.vnet.net
- Subject: [mg68940] Symmetric polynomials
- From: shubi at nusun.jinr.ru
- Date: Fri, 25 Aug 2006 05:34:52 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Dear All,
Is the possibility in "Mathematica" express symmetric functions, for
example:
P=y1^2 y2 y3 + y1 y2^2 y3 + y1 y2 y3^2 + y1^2 y2 y4 +
y1 y2^2 y4 + y1^2 y3 y4 + y2^2 y3 y4 + y1 y3^2 y4 +
y2 y3^2 y4 + y1 y2 y4^2 + y1 y3 y4^2 + y2 y3 y4^2;
by the standard symmetric polynomials:
S1=y1+y2+y3+y4;
S2=y1^2+y2^2+y3^2+y4^2;
S3=y1^3+y2^3+y3^3+y4^3;
. . .
Best regards
Nodar Shubitidze
Joint Institute for Nuclear Research
Dubna, Moscow region, Russia
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