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In contrast with single-objective optimization problems, there may not exist a single solution that is optimal with respect to all objectives of the multi-objective optimization problem.
(2009) [7] is optimal with competitive ratio 32.
Thus, the hexagonal tiling is optimal with respect to dividing the plane into equal areas and minimizing the perimeter.
This presented method yields a solution, which is optimal with respect to a quadratic performance index.
The achieved solution is optimal with regard to the model of the system.
No bowel preparation for colonoscopy is optimal with regard to efficacy, safety, and tolerability.
As an example, the widely used Wiener filter is optimal with respect to the MMSE error criterion [2].
In [11], this greedy online algorithm is optimal with an offline setting where the perfect future knowledge is given.
Since AQn is (2n−1 -regular, the result is optimal with respect to the number of EISTs constructed.
The obtained array is optimal with respect to the number of processing elements (PEs) for a given problem size.
Both alternatives are also rationally eligible according to v-admissibility; X is optimal with respect to A and Y is optimal with respect to B. In some conflicts of value, maximization and v-admissibility specify different sets of alternatives as rationally eligible.
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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