# gaussianRing(...,pVariableName=>...) -- symbol used for indeterminates in a ring of Gaussian joint probability distributions

## Synopsis

• Usage:
gaussianRing(G,pVariableName=>q)
• Inputs:

## Description

The option gaussianRing(G,pVariableName=>q) changes the symbol used for intedeterminates in the covariance matrix of the error terms in a polynomial ring created with gaussianRing.

 i1 : G = mixedGraph(digraph {{b,{c,d}},{c,{d}}},bigraph {{a,d}}) o1 = MixedGraph{Bigraph => Bigraph{a => {d}} } d => {a} Digraph => Digraph{b => {c, d}} c => {d} d => {} Graph => Graph{} o1 : MixedGraph i2 : R = gaussianRing G o2 = R o2 : PolynomialRing i3 : gens R o3 = {l , l , l , p , p , p , p , p , s , s , s , s , b,c b,d c,d a,a b,b c,c d,d a,d a,a a,b a,c a,d ------------------------------------------------------------------------ s , s , s , s , s , s } b,b b,c b,d c,c c,d d,d o3 : List i4 : R = gaussianRing (G,pVariableName => psi) o4 = R o4 : PolynomialRing i5 : gens R o5 = {l , l , l , psi , psi , psi , psi , psi , s , s , b,c b,d c,d a,a b,b c,c d,d a,d a,a a,b ------------------------------------------------------------------------ s , s , s , s , s , s , s , s } a,c a,d b,b b,c b,d c,c c,d d,d o5 : List

## Further information

• Default value: p
• Function: gaussianRing -- ring of Gaussian correlations on n random variables or a graphical model
• Option key: pVariableName -- optional input to choose the variable names for the covariance matrix of the error terms