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\begin{aligned} π_{g j} & = P r o b (x_{i j} = x_{g j}^{⋆}) (g \in 1, \dots, c_{j}) (j \in 1, \dots, K) \\ (for any i) (VARDIST) \\ C & = \prod_{j = 1}^{K} c_{j} = # possible values of x_{i} (for any i) \\ x_{m}^{⋆} & = m th possible value of x_{i} (m \in 1, \dots, C) \\ π_{m} & = P r o b (x_{i} = x_{m}^{⋆}) (m \in 1, \dots, C) \end{aligned}

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\begin{align*} \pi _{gj} & = \mr{Prob} \left( x_{ij} = x^\star _{gj} \right) \quad (g \in 1, \ldots , c_ j) (j \in 1, \ldots , K) \\ & \quad (\text {for any }i) \quad (\text {VARDIST}) \\ C & = \prod _{j=1}^{K} c_ j = \# \text {possible values of }\mb{x}_ i \quad (\text {for any }i) \\ \mb{x}^\star _ m & = m\text {th possible value of }\mb{x}_ i\quad (m \in 1, \ldots , C) \\ \pi _ m & = \mr{Prob}\left(\mb{x}_ i = \mb{x}^\star _ m \right)\quad (m \in 1, \ldots , C) \end{align*}