Sentence examples for as explained in remark from inspiring English sources

These advantages have been obtained by an increase in complexity as explained in Remark 7.

As explained in remark 1, section 2, the corresponding mereology need not be as strong as classical extensional mereology.

As explained in Remark 3, to obtain the achievable DM-tradeoff of the hybrid JEEMAS strategy it is sufficient to consider any one set of or independent paths.

As explained in Remark 1, this is due to the fact that the queues of indirect users at the BS get low weights and grow large, which result in lower data admissions for them.

In this way, we can benefit from a larger degree of freedom, decrease the complexity, and achieve a larger sum-rate as explained in Remark 2. In this section, we study the problem of maximizing the offered sum-rate given in (5) under individual power constraints.

hIn order to obtain the results for the one-way case, we simply let w = 1 0 and considered only phases 1 and 6 in the evaluation of the dual function as explained in Remark 3. Let ( y, z ), ( y ′, z ′ ) ∈ S and λ∈[0,1].

Since Proposition 2 captures the worst-case scenario (as also explained in Remark 2) and the latter is reflected in this example of weights' assignment, we can characterize the coexistence of power law and normally distributed similarity values/weights for two different flows as such a worst-case scenario.

As explained in [3, Remark ], since different choices of in   do not affect our results, we simply let denote when there is no confusion.

The simulation procedure is explained in Remark 4.1.

The reason why we make a different choice is explained in Remark 6.5.

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