The partial entropy decompositions and partial total correlation decomposition.

Consider two distributions and . The distribution is the maximum entropy distribution on three binary variables, while is the distribution of the logical-XOR gate (assuming equiprobable inputs).设有两个分布$P$与$Q$。其中分布$P$为三个二元变量上的最大熵分布（maximum entropy distribution），而分布$Q$则为输入满足等概率假设的逻辑异或门（logical-XOR gate）对应的分布。