PowerSymmetricPolynomial

PowerSymmetricPolynomial[r]

represents a formal power symmetric polynomial with exponent r.

PowerSymmetricPolynomial[{r1,r2,}]

represents a multivariate formal power symmetric polynomial with exponents r1, r2, .

PowerSymmetricPolynomial[rspec,data]

gives the power symmetric polynomial in data.

Details

Examples

open allclose all

Basic Examples  (1)

Scope  (3)

PowerSymmetricPolynomial of order 0 is effectively the number of data points:

Use MomentEvaluate to evaluate formal power symmetric polynomials on data:

TraditionalForm formatting:

Applications  (1)

Linearize power symmetric polynomials using AugmentedSymmetricPolynomial:

Check equality for 5 variables:

Properties & Relations  (1)

PowerSymmetricPolynomial is equivalent to AugmentedSymmetricPolynomial with a single exponent:

This relationship also holds for the multivariate generalization:

Introduced in 2010
 (8.0)