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The phrase "a given criterion" is correct and usable in written English.
It can be used when referring to a specific standard or principle that has been established or accepted for evaluation or judgment.
Example: "In this study, we will assess the results based on a given criterion to ensure consistency in our analysis."
Alternatives: "a specified standard" or "an established criterion".
Exact(44)
Relative to a given criterion of validity, an axiomatic system is sound if every theorem is valid, and it is complete (or, more specifically, weakly complete) if every valid wff is a theorem.
An heuristic which forms such sets by using a given criterion is proposed.
The main purpose is to select the best link according to a given criterion.
Another alternative strategy to achieve adaptivity aims at designing lifting filters by defining a given criterion.
An evolutionary search is applied to find the best binary classifier in each NBC with respect to a given criterion.
In digital image analysis, segmentation is the partitioning of the image into multiple regions according to a given criterion.
Similar(16)
If the model does not provide values for a given criteria category, the scale shows a "not applicable" (n.a).a
Essentially, it is the mean of the posterior model that is updated based on a given criteria.
Techniques for recommending conferences, on the other hand, select conferences according to a given criteria and rank them in order of importance.
Given a pair of user-specified origin and destination, a route recommendation service aims to provide users with the routes of the best traveling experience according to a given criteria.
Architecture multiple-objective decision-making: Here, it is determined whether a network architecture change can or needs to be adopted by selecting the most suitable deployment architecture, based on a given criteria, such as link quality and network reliability.
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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