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The phrase "a widespread definition" is correct and usable in written English.
It can be used when referring to a definition that is commonly accepted or recognized by a large number of people or in various contexts.
Example: "The term 'sustainability' has a widespread definition that encompasses environmental, social, and economic factors."
Alternatives: "a commonly accepted definition" or "a broadly recognized definition".
Exact(2)
A widespread definition of competences by Weinert (2001) says that competences are "cognitive abilities and skills which are available or trainable for individuals to solve specific problems as well as associated motivational, volitional and social willingness and skills to use problem solving strategies successfully and responsibly in variable situations".
According to a widespread definition the term CAM is defined as a group of therapeutic and diagnostic disciplines that usually exist outside the institutions where conventional health care is taught and provided [ 7].
Similar(58)
Speaking is so intertwined with our everyday use of language that it becomes difficult to create a concise, yet widespread, definition of speaking (Thornbury & Slade, 2006).
Znaniecki criticized the widespread definition of sociology as the study of society.
A widespread critique of the DSM definition is that not enough weight is given to the consequences of having the delusion for the well-being of the person reporting it.
Thus, the present study underlines the need for a widespread use of common sepsis definitions to facilitate comparability, diagnosis, treatment recommendations, and enrolment strategies for clinical trials of surgical patients with sepsis.
Moustgaard et al. suggest that definition of outcomes in trials is a widespread problem[ 83].
But this definition is so vague that it betrays a widespread confusion as to what science actually is.
"Living in Utah, there is still a widespread unspoken rule that women should conform to this really narrow little definition of 'perfection,'" the artist, a former member of the Church of Jesus Christ of Latter-day Saints, told The Huffington PoSaints
Since there is no universal definition of postural control and balance, this search strategy comprised a widespread spectrum in order to cover all potentially relevant studies.
FBT is a widespread intervention in the management of the critically ill septic patient, despite lack of a consistent definition or use of terminology.
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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