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This may cause that the total power is underutilized and the maximum objective value is not achieved.
The maximum objective value of problem (7), R(τ ms ), is obtained only when the equality in (7a) holds.
At the same time, the maximum allowable transmit power (P_{max }^{UL}) can also be determined by the obtained maximum objective value of problem P1.
provides a valid integer solution y ∗(t), derived from the non-integer solution x ∗(t) at any slot t; fulfills the average power constraint; achieves an objective value as close as possible to the maximum objective value in problem P5; and.
In particular, the proposed greedy algorithm (i) provides a valid integer solution y ∗(t), derived from the non-integer solution x ∗(t) at any slot t; (ii) fulfills the average power constraint; (iii) achieves an objective value as close as possible to the maximum objective value in problem P5; and (iv) has low complexity. .
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This result was based on the increased agreement of 9/13 for the 'very soft' ratings with minimum hardness objective values compared to 7/13 for the same category with the average or maximum objective values.
The key nodes sequence from initial results are searched and the node with the maximum objective function value (Z* shown in formula 1) is found to be the fault power path.
It is noted that the problem in (20) is infeasible if the obtained maximum objective function value in (24) is smaller than R min. The problem in (24) belongs to integer programming and thus is hard to be solved.
When comparing the subjective ratings to the maximum objective hardness value, the percentage of agreement was 50% (n = 18) and the level of concordance remained as moderate to substantial.
It is noted that the problem in (35) is infeasible if the obtained maximum objective function value in (39) is smaller than R min. The problem in (39) is solved in a heuristic way.
By induction, we have σ ( v ( A i | V | − 1 ) ) + σ ( S i | V | ) > σ ( v ( A i | V | − 1 ∖ S ) ) + σ ( S i | V | ∪ v ( S ) ) for any S ⊆ A i | V | − 2. Therefore, the partition of each round i in AM2CP has the maximum objective function value among all the partitions separating the last two sets.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com