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The phrase 'unique definition' is correct and usable in written English.
You can use it to refer to a definition of something that is particularly specific or original. For example: The author provided a unique definition of success in their book, describing it as finding joy in life rather than accumulating wealth.
Exact(43)
"He certainly has a unique definition of what recusal is," Jenny Backus, a spokeswoman for the Gore campaign, said tonight.
Each concept has a unique definition.
In this study, we utilized a unique definition of reliability.
Unfortunately, there is no unique definition and it is usually country dependent e.g. see [20].
There is no unique definition for the computation of a PW measurement.
In these applications a unique definition would be highly desirable, as proposed in classical communication theory [18].
Similar(17)
This reduced our dataset to 113 unique definitions, all of which can be found in the Additional file 1.
This mapping yielded 810 distinct concepts from the 1478 unique terms, with a total of 924 unique definitions from 1378 distinct resource links.
The proportion of unique definitions was calculated for each term.
Unique definitions for all terms can be found in Supplementary Tables 1 9.
There are at least 18 unique definitions of DGF employed in the literature [ 24].
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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