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The phrase "real-world application of" is correct and usable in written English.
It is often used to refer to a practical use of a concept or idea. For example, "this research provides a real-world application of artificial intelligence to medical diagnosis."
Exact(57)
Finally, an example based on a real-world application of QFD is provided to show the practical applicability of the proposed methodology.
A real-world application of the presented approach is presented in Section 6 showing the applicability of the proposed models and approach.
For a real-world application of statistical analysis, try this colourful poster from ActionAid.
The real-world application of economic theories is an important part of these new curriculum initiatives.
The real-world application of all this to companies like Apple and Sony will come out of committee actions.
Many offer the chance to study the real-world application of economic theories – such as the global recession, tax, and the job market – in international settings.
It is a matter of extreme irony — to say the least — that in the most important real-world application of the Bush doctrine, the president ignores his own words, siding with a military dictator rather than with the elected democrat.
Although Dr. Goel is more concerned with the psychological effects than a real-world application of her study's findings, her experiment does show that sleep patterns can be altered through sensory stimuli.
Similar(3)
"We find that many graduates lack a real world application of theories they've learned at university when applying to McCann Erickson," says Gray Dudek, managing director of the agency's digital wing.
This section presents the real world application of our virtual service cell.
A real world application of these techniques is given through the analysis of geodemographic data from Lisbon's metropolitan area.
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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