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:<math>p(X_s = x_s|X_b = x_b) = \frac{1}{Z} \prod_{c\in C(G)}\Phi_c (x_s^c,x_b^c)</math>
where ''C''(''G'') is the set of all cliques in ''G'', <math>\Phi</math> is a [[potential function]] defined over the variables, and ''Z'' is the [[partition function (mathematics)|partition function]].
To completely characterize the MRF, it is necessary to define the potential function <math>\Phi</math>. To simplify, the cliques of a graph are usually restricted to only the cliques of size 2, which means the potential function is only defined over pairs of variables. In [[Goblin System]], this pairwise functions are defined as
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