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Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Statistical Moments and Generating Functions > AugmentedSymmetricPolynomial >
Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Probability & Statistics > Statistical Moments and Generating Functions > AugmentedSymmetricPolynomial >
Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Statistical Distribution Functions > Statistical Moments and Generating Functions > AugmentedSymmetricPolynomial >

AugmentedSymmetricPolynomial

AugmentedSymmetricPolynomial
represents a formal augmented symmetric polynomial with exponents , , ....
AugmentedSymmetricPolynomial
represents a multivariate formal augmented symmetric polynomial with exponent vectors , , ....
AugmentedSymmetricPolynomial
gives the augmented symmetric polynomial in data.
  • In the multivariate case, and are vectors and is interpreted as .
In[1]:=
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Out[1]=
In[2]:=
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Out[2]=
Use MomentEvaluate to evaluate formal augmented symmetric polynomials on data:
TraditionalForm formatting:
Linearize polynomials in AugmentedSymmetricPolynomial:
AugmentedSymmetricPolynomial with a single exponent is equivalent to PowerSymmetricPolynomial:
This relationship also holds for the multivariate generalization:
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