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The phrase 'demonstrate superiority' is correct and usable in written English.
It can be used when describing a situation in which one person or group is showing that they are better than another person or group. For example: "The incoming CEO sought to demonstrate superiority over her predecessor by implementing sweeping changes to the company's corporate structure."
Exact(60)
You have a keen mind; learn to curb your inclinations to demonstrate superiority").
One clerk said, "Wealthy people sometimes dress very badly to demonstrate superiority," and that "if you dare enter these boutiques so underdressed, you are definitely going to buy something".
Obtained results demonstrate superiority of the approach in both security and rapidity aspects.
The obtained results demonstrate superiority of the proposed networks over the existing fuzzy and neural models.
Well designed studies are needed to demonstrate superiority of pharmoacogenetics to conventional dosing regimes.
Most studies tested a hypothesis of non-inferiority (36%%) or equivalence (24%%), while 16%% of studies aimed to demonstrate superiority.
It was not powered to demonstrate superiority of the individual doses of lasmiditan to placebo (see Fig. 1).
Results from the other two trials failed to demonstrate superiority with different dose intensities of FEC or epirubicin/cyclophosphamide regimens.
Results demonstrate superiority of the proposed approach and confirm its potential to solve the multi-objective EED problem.
The comparative test studies clearly demonstrate superiority of the proposed methodology to give optimal robust solutions under geological uncertainties with much less standard deviations and variances.
Advantages as well as disadvantages and limitations of the FCP still need to be assessed, as need the computational statistics to demonstrate superiority of drug over placebo.
More suggestions(15)
demonstrate leadership
demonstrate predominance
prove superiority
demonstrate strength
demonstrate mastery
demonstrate advantage
demonstrate strengths
shows superiority
demonstrates superiority
revealed superiority
evident superiority
proven superiority
demonstrate advantages
indicate superiority
demonstrating superiority
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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