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Discover LudwigThe phrase "a given established" is not correct and does not convey a clear meaning in written English.
It may be intended to refer to something that has been predetermined or accepted, but the phrasing is awkward and unclear.
Example: "In our discussion, we must consider a given established by previous research."
Alternatives: "a predetermined fact" or "an accepted principle".
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In the high-motivation situation, they were offered a bonus (NT$2,000, about US$66.70) if their averaged reaction time of the go-trials reached a given criterion established individually from the first practice session.
So "Black lives matter" is not a cliché, precisely because the truth it expresses is far from a given, precariously established, if at all.
The photo of a taco Elahi ate in Mexico City on a given date establishes his presence in a specific restaurant at a specific time.
Typical practices performed during development stages are levelling land to a given slope, establishing adequate drainage (covered or open drains), deep ploughing or slip ploughing to alter the soil profile physically, and leaching to reduce excessive salinity.
It can also give established musicians a healthy reboot, as they measure themselves directly against hundreds of younger, hungrier bands.
A necessary condition for the optimality of a given design is established.
Series of religious services associated with a given feast early established the idea of the music festival in the church.
The best location for the local maintenance headquarters and warehouses in a given region is established, as are the number of maintenance technicians and vehicles required.
Introduced in 1973 by Haralick et al. [1], descriptors derived from gray-level co-occurrence matrices still have a given place among established texture features.
In 1995, Daniel Pauly observed that most equilibrium or steady-state models are based on a given dataset, often established by scientists within the last generation [28].
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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