Symmetric function: Difference between revisions

Revision as of 00:32, 21 December 2012

Revision as of 09:25, 9 January 2013

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:In general, the function remains the same for every [[permutation]] of its variables. This means that, in this case,

::<math> (x-x_1)(x-x_2)(x-x_3)=(x-x_2)(x-x_1)(x-x_3)=(x-x_3)(x-x_1)(x-x_2),</math>

:and so on, for all permutations of <math>x_1,x_2,x_3</math>