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Capacity region is the region which can be achieved by multiple users in a communication network. In particular, if there are $K$ users in a network and $(R_1, R_2, \ldots, R_K)$ is a point of K-user capacities. Given the capacity region, $(R_1, R_2, \ldots, R_K)$ can be achieve lower than the capacity region of $\{R(R_1, R_2, \ldots, R_K)|C(R) > 0\}$.