Examples
The following lists the power sum symmetric polynomials of positive degrees up to n for the first three positive values of In every case, is one of the polynomials. The list goes up to degree n because the power sum symmetric polynomials of degrees 1 to n are basic in the sense of the Main Theorem stated below.
For n = 1:
For n = 2:
For n = 3:
Read more about this topic: Power Sum Symmetric Polynomial
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—Michel de Montaigne (1533–1592)
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