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The phrase "a given ill" is correct and usable in written English.
It can be used in contexts discussing a specific problem or issue that has been identified or acknowledged.
Example: "In addressing a given ill, it is essential to consider all possible solutions before implementing a course of action."
Alternatives: "a specific problem" or "an identified issue".
Exact(1)
The EQ-5D was valued using TTO, where a respondent is asked to compare a life of 10 years in a given ill health state with a shorter period in full health.
Similar(59)
Because Santa and his elves worked in a "very tired little theme park", the elves were given "ill-fitting" costumes; though new, they were altered to look "shabby".
Given ill-defined punitive authority, we can be sure that a substantial number of schools will apply it in nonsensically literal ways to criminalize innocent behavior.
Meanwhile, Brown, who is most likable when he is truest to himself — dour and plain-speaking — had been given ill-advised instructions to leaven his customary gravitas with moments of jocularity.
In fact, colonization pressure (number of MRSA carrier patient-days/total patient-days) is a major independent predictor of MRSA infection in a given critically ill population [ 4].
For instance, a given severely ill patient may be cared for adequately despite nurse shortage, because other nurses may come and help.
The fact that outcome is worse in a given acutely ill patient population, if AKI necessitating RRT develops, is of course not exceptional and has been depicted in many populations (for review see [ 13]).
The next month, on Jan . 9 , 1957Eden resigned, giving ill health as his reason.
It is by forming a bond with the boy that she may engender change, rather than through giving ill-attended speeches at the EU.
A SE value describes the probability that a given measure adequately classifies an "ill" or "exposed" individual, while a SP value describes the probability of measure to correctly classify a person that is not "ill", or is not "exposed" to a given risk [ 23].
This nonlinear inverse problem of estimating optical properties from photoacoustic data is further complicated by potential ill-posedness: a given photoacoustic absorbed energy distribution may be due to non-unique absorption-scattering distribution pairs.
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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