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The phrase "analysis of the optimum" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or evaluation of the best possible solution or outcome in a given situation.
Example: "The analysis of the optimum revealed that the most efficient strategy would involve reallocating resources to maximize productivity."
Alternatives: "evaluation of the best" or "assessment of the ideal".
Exact(7)
This paper presents a deep analysis of the optimum energy systems for a district sited in China.
Based on an analysis of the optimum results obtained by dynamic programming, a soft-run strategy was proposed for real-time and multi-objective control algorithm design.
Using the average annual wave energy spectrum at this site as the input, the optimum structural geometric configuration was established, along with an analysis of the optimum configuration for different radius devices.
Structural analysis of the optimum designs revealed that the active constraint varied greatly between the different designs, and it is therefore recommended that a wider range of loading cases and constraints needs to be accounted for in optimisations that allow the structural geometry to vary compared to those that use a standard geometry.
In order to provide useful guidelines for the system design, the analysis of the optimum redundancy split between physical and upper layer coding has been performed.
Detailed analysis of the optimum conditions for 8-azido-[α-P]ATP trapping indicated that the formation of the stable ('trapped') nucleotide ABCB6 complex requires incubation at 37°C and the presence of phosphate-mimicking transition state analogues, suggesting that the catalytic turnover does not allow the detection of natural nucleotide occlusion in the absence of inhibitory anions.
Similar(53)
For the analysis of NOM, the optimum settings for the mobile phase composition were as follows: pH 8.5, 11% of acetonitrile, and 15 mM of sodium chloride.
The analysis results of the optimum heat transfer coefficients are found to agree well with the measured data.
Uncertainty analysis of the obtained optimum design also is important for practical purposes due to various sources of uncertainties in real operation of the system.
On statistical analysis of the results, the optimum temperature, aeration and agitation rates were found to be 30 °C, 1.0 vvm and 400 rpm respectively, with a maximum activity of 41.46 U/ml after 36 h of fermentation.
Our analysis of the moving-optimum model shows that this process has, indeed, a very different genetic basis than that of adaptation from de novo mutations.
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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