SymmetricReduction strange behaviour
- To: mathgroup at smc.vnet.net
- Subject: [mg120015] SymmetricReduction strange behaviour
- From: Francisco Javier García Capitán <garciacapitan at gmail.com>
- Date: Tue, 5 Mar 2013 04:17:04 -0500 (EST)
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- Delivered-to: l-mathgroup@wolfram.com
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Can anybody reproduce this error? I mean, expr is symmetric with respect to
a, b, c, then the second component should be zero in both cases. Am I wrong?
expr = (a - b) (b - c) (c - a);
SymmetricReduction[expr, {a, b, c}]
SymmetricReduction[expr^2, {a, b, c}]
{3 a b c - (a + b + c) (a b + a c + b c), 2 a b^2 + 2 a^2 c + 2 b c^2}
The second component should be zero!
{-27 a^2 b^2 c^2 - 4 a b c (a + b + c)^3 + 18 a b c (a + b + c) (a b + a
c + b c) + (a + b + c)^2 (a b + a c +
b c)^2 - 4 (a b + a c + b c)^3, 0}
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Francisco Javier Garc=EDa Capit=E1n
http://garciacapitan.99on.com