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The phrase "a given institution" is correct and usable in written English.
It can be used when referring to a specific institution that is already known or has been previously mentioned in the context.
Example: "In the study, we analyzed the impact of funding on the performance of a given institution."
Alternatives: "a specific institution" or "an identified institution".
Exact(52)
An important factor in designing such trials is the number of patients that can be realistically recruited at a given institution.
First, while most articles are descriptive, focusing on specific, unique experiences in a given institution or with a particular teaching method or tool, few situate themselves within the broader philosophy and design of management education.
A visit both informs about what a given institution is really like and demonstrates a student's interest in attending — important to colleges leery about accepting students who might go elsewhere and lower their "yield".
Terms like "bite-size" and "chopped," which are key to defining what is safe for a person to eat, can be left open to interpretation by the staff at a given institution or group home.
The type of ESBL enzyme produced and the site and severity of infection are important considerations in determining antimicrobial therapy.18,31 Therefore, active surveillance for ESBL-producing organisms is critical to describe fully the local epidemiology of a given institution and/or referring centers.
Graduates' incomes probably have more to do with dynamics that precede college — their parents' wealth, their childhood opportunities, their innate gifts — than with the particular seasoning of a given institution, and not all salary-oriented rankings pay careful attention to this.
Similar(8)
When selecting the working institution for a given agent, institutions that are located closer to the home of a given agent have a slightly higher probability and therefore instance of selection.
"Getting a phone answered in a timely fashion about a given financial institution might well be extremely challenging".
To discourage such campus-hopping, the Canada Foundation for Innovation (CFI) has decided to give institutions a better chance of retaining their prized researchers.
The scholarships also give institutions a chance to expand efforts to attract and retain minority students and women in science, engineering, and math.
That's because the SEC has other rules in place that clearly keep individuals on the outside looking in, and give institutions a leg up.
More suggestions(17)
a given establishment
a given sector
a given enterprise
a given industry
a given settlement
a given center
a given government
a given organism
a given premises
a given settings
one particular institution
a specific institution
any particular institution
one specific institution
a given setting
a given company
a certain institution
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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