Applying Corollary 4.1 and following the same argument as Theorem 5.1, we can prove Theorem 5.3.
Furthermore, we know that x ¯ ∈ Ω by following the same argument.
For all,, consider the connection of and ; following the same argument, we have that and Therefore, and.
Next, following the same argument as the final proof of Theorem 2.1, we get the conclusion of Theorem 2.2.
The achievable GDoF region without CSIT can be derived following the same argument as in the case with CSIT.
Next, following the same argument as in the proof of Theorem 3.1, we get the proof of Theorem 3.2.
The result can be obtained by following the same argument as that for Lemma 2.4 of Zhou and Wang (1999).
Applying Theorem 3.9 and following the same argument as in Theorem 3.10, we have the following result.
By Theorem 4.2 and following the same argument as in the proof of Theorem 4.8, we prove Theorem 4.10.
In fact, following the same argument in [12] (say, for example, pp.314-316), one can verify that lim β → u − h = d 1 π f ′ ( u − . (3.10).
Proof By Theorem 4.5 and following the same argument as in the proof of Theorem 4.3, we see that the proof is complete.
