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"demonstrated superiority" is correct and usable in written English.
You can use it to indicate the idea that one thing has been shown to be better or of higher quality than another thing. For example, "The new sports car demonstrated superiority to its competitors with its faster acceleration time."
Exact(60)
He is there despite the demonstrated superiority of civilian trials in bringing suspected terrorists to justice — and in then throwing them into prison for long sentences.
French 6.5-inch (165-mm) cast-iron rifled guns in the Crimean War demonstrated superiority in range, destructive power, and accuracy.
Dunford et al. demonstrated superiority of targeting the H4R for pruritus compared to blockade of H1R.
A comparison among SVR, neural network and three well-known empirical correlations demonstrated superiority of SVR model.
Case studies have demonstrated superiority in studying dynamic processes, making it possible to explain variations in the processes.
Following the introduction, we provide some background about streamline simulation technology and its demonstrated superiority, which made it the modeling tool of choice for us.
Using another PSMA-targeting ligand 18F-DCFPyL, Rowe et al. demonstrated superiority of the ligand over conventional imaging with similar sensitivity (94.7 %) in five patients [14].
RTV 655 has demonstrated superiority to other polymers due to its unique range of material properties namely mechanical stability between −115 and 204 °C and UV radiation tolerance.
By 22percentt energy saving in the steady-state condition, the results clearly demonstrated superiority of the proposed methodology compared to the other energy-based MPC approaches.
The comparison of symmetric DG (SDG) MOSFET and HEM-DG MOSFET configurations demonstrated superiority of HEM-DG MOSFET: ideal S and reduced DIBL.
Palonosetron is a 5-HT3 receptor antagonist that has demonstrated superiority in preventing both acute and delayed emesis when compared to older first generation 5-HT3 receptor antagonists.
More suggestions(15)
demonstrated their strengths
demonstrated advantages
demonstrated strength
demonstrated strengths
demonstrated the advantage
demonstrated superior
demonstrated its strength
demonstrated excess
demonstrated its advantages
proved superiority
demonstrated advantage
assumed superiority
has proven superiority
have shown superiority
confirm this 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