# markovRing(...,Coefficients=>...) -- optional input to choose the base field in markovRing or gaussianRing

## Synopsis

• Usage:
gaussianRing(n,Coefficients=>Ring)
gaussianRing(G,Coefficients=>Ring)
markovRing(d,Coefficients=>Ring)
• Inputs:
• d, , with positive integer entries $(d_1,\dots ,d_r)$
• n, an integer, number of random variables
• G, an instance of the type Graph, an instance of the type Graph, or an instance of the type Digraph, or an instance of the type MixedGraph with directed and bidirected edges
• Outputs:

## Description

In both markovRing and gaussianRing, the default coefficient ring is QQ. Putting Coefficients => r for a choice of ring(field) r as an argument in the function markovRing or gaussianRing creates a ring with the desired coefficient ring.

 i1 : R2 = markovRing ((2,2),Coefficients=>CC); i2 : coefficientRing R2 o2 = CC 53 o2 : ComplexField

## Further information

• Default value: QQ
• Function: markovRing -- ring of joint probability distributions on several discrete random variables
• Option key: Coefficients -- optional input to choose the base field