The achievability follows by extending Theorem 8 to the case of confidential messages.
The achievability follows by generalizing Theorem 8 for the case of two confidential messages.
Achievability was assessed by: (1) collaborative targets are achievable, (2) programme management made clear how to achieve collaborative targets, (3) programme management offered good practices and evidence on achievable results, and (4) programme management gave specific instructions on how to improve interventions.
The proof is given in Appendix 1. Then by noting that (D_{mathcal {S}_{p}}) can only be achieved by (mathcal {S}_{p}), Theorem 3 has the following corollary: It is NP-complete to decide the achievability of (D_{mathcal {S}_{p}}) for a given SFM.
In this paper, we propose a definition of goal achievability: given a basic action theory describing an initial state of the world and some primitive actions available to a robot, including some actions which return binary sensing information, what goals can be achieved by the robot?
(On a 10-point scale, the average achievability rating increased by more than half a point, from 5.75 to 6.39).
Thus, a necessary and sufficient condition for global achievability is obtained by maximizing min k SINR k /γ k over all possible beamformers and transmission powers.
The achievability follows rather trivially by applying Theorem 3. By considering equal power allocation over all streams such that,, we obtain the rate tuple where (35).
Inspired by the achievability proof in Section 3.1, the SoftNull algorithm presented in [27] seeks to maximally suppress self-interference for a given required number of downlink-degrees-of-freedom.
Corollary 2 proves Theorem 2 by contradiction; if it is easy to find D s for a given SFM, then we can easily decide the achievability of (D_{mathcal {S}_{p}}) by comparing D s with (D_{mathcal {S}_{p}}), as (D_{s}=D_{mathcal {S}_{p}}) means that (D_{mathcal {S}_{p}}) is achievable, and (D_{s}>D_{mathcal {S}_{p}}) means that (D_{mathcal {S}_{p}}) is not achievable.
