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The phrase "a comprehensive definition" is correct and usable in written English.
You can use it when you want to describe a definition that is thorough and covers all aspects of a particular term or concept.
Example: "In order to fully understand the topic, it is essential to provide a comprehensive definition of the key terms involved."
Alternatives: "an exhaustive definition" or "a detailed definition".
Exact(60)
Nicolas de la Mare provided a comprehensive definition in his Traité de la police (1722; "A Treatise on the Police").
In 2002, its governments agreed (pdf) to a comprehensive definition, which stated that terrorism includes activities aimed at "seriously intimidating a population" or "seriously destabilising or destroying the fundamental political, constitutional, economic or social structures of a country".
If you need help identifying when day-to-day squabbles have become serious incidences of bullying, have a look at ABA's briefing for teachers and school leaders which includes a comprehensive definition of bullying.
The ability to purchase basic goods and services is fundamental, but a comprehensive definition of economic well-being would also include the ability to fulfill personal and family responsibilities (like caregiving), the ability to reduce risk (through asset accumulation and insurance), and educational and training opportunities to improve long-term economic prospects.
The suggestion that first-generation rights are more feasible than other generations because they stress the absence over the presence of government is somehow transformed into a prerequisite of a comprehensive definition of human rights, such that aspirational claims to entitlement are deemed not to be rights at all.
A comprehensive definition of concepts and Galois lattices can be found in [54].
In second language assessment, a comprehensive definition for speaking ability does not currently exist.
First, we systematically reviewed the available literature to formulate a comprehensive definition of CL.
A combination of these definitions can be adopted as they reinforce each other and give a comprehensive definition to pastoralism.
Aharonov et al. [16] gave a comprehensive definition for spiral-shaped domains with respect to a boundary point.
This article offers a comprehensive definition for 'learning teams' and introduces a detailed design process for creating 'learning teams' and 'organizational learning'.
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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