Some time ago I asked if Sage can solve something like
"If P(x)=x³+ax²+bx+c with roots r_1, r_2 and r_3, how to express
((r_1-r_2)(r_1-r_3)(r_2-r_3))^2 as a function of a, b and c?"
Because a, b and c are symmetric functions of roots, I guess I should read
http://www.sagemath.org/doc/reference/combinat/symmetric_functions.html
Just one problem: I don't understand.
I can say for example
SFAPower(QQ)([3]).expand(4, ['a','b','c','d'])
to get
a^3 + b^3 + c^3 + d^3
, but how can I get last line expressed as a composition of elementary
symmetric polynomials? Or can I?
--
Jori Mäntysalo
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