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One important question is whether Nguyen–Tang Wu bound can be achieved in all of these cases.
This bound can be achieved only if m is a multiple of N−1 when N≡0(mor4) or if m is an even multiple of N−1 when N≡2(mod4).
It is difficult to make a precise assessment on probability and consequence of every fire scenario, but their lower bound and upper bound can be achieved based on statistical data.
This paper first focuses on a Euclidean plane and shows that a tight upper bound can be achieved by a type of elongated cyclic hexagons, while a cost lower bound based on relaxation and idealization is also obtained.
The above upper bound can be achieved by using superposition coding with time sharing or rate splitting at transmitter and the successive decoding at receiver [41].
A tighter bound can be achieved by building a bipartite graph from these unmatched vertices.
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The SIC scheme provides a performance close to the theoretical upper throughput bound that can be achieved using the MMSE linear receiver for the downlink system throughput optimization.
Consistent with all the data presented in the previous sections, these data are indicative of a complex system in which different bound states can be achieved depending on the direction in which the experiment is performed.
Now, we prove that the minimum lower bound of (25) can be achieved in the condition of R =2 or R = F. Define a function of variable R : f ( R ) = ∑ i = 1 R r i + ∑ i = 1 F + 2 − R r i.
We show that the outer bound for the constrained channel can be achieved by the strategy of noise-forwarding developed for the unconstrained channel.
This limitation may place an upper bound on the reliability that can be achieved with citation measures, but it does not apply to usage measures.
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