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Figure 4 Numerical solutions' comparison of ASE-I, ASI-E, and C-N schemes.
Only if both, primary and secondary objective, are equal for two solutions, comparison is based on the third objective.
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Fig. 11 Position solution comparison (ENU frame) Fig. 12 Pitch and roll solution comparison.
A case study and solution comparison verify the feasibility and validity of the proposed approach.
Thus U ( x, t ) is the maximal solution of (1.1), and this solution satisfies a sub-solution comparison principle.
The solution comparison or the selection of more "representative" solutions is an essential issue in many-objective optimization.
Hence, it follows from the sub-solution comparison principle that U ( x, t ) > 0 in Ω × ( 0, ∞ ).
Moreover, a modified solution comparison criterion and an adaptive ranking strategy for DE are introduced to improve the accuracy of solutions.
Furthermore, 1 l ≤ u l ≤ u k for k < l, and a super-solution (sub-solution) comparison theory holds for (2.2) (see [19]).
They solved the WD problem in the context of standard combinatorial auctions, and validated the WD procedure by measuring the performance of their Nash-Equilibrium solution based on revenue performance, anytime performance and optimal solution comparison.
In 5N NaOH treated solution, comparison showed an additional peak at Rf 0.31 while chloramphenicol degraded products at Rf 0.04 and 0.48 and prednisolone acetate degraded products at Rf 0.29 and 0.50 were missing.
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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