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The phrase "a supplement for the" is correct and usable in written English.
It can be used when referring to an additional resource or material that enhances or supports something else, often in academic or informational contexts.
Example: "The report includes a supplement for the main findings, providing additional data and analysis."
Alternatives: "an addition to the" or "a resource for the".
Exact(17)
Excursions are extra, and there is a supplement for the few rooms with a private bathroom.
Fish oil has been flying high as a supplement for the past few years.
The proposed framework can serve as a supplement for the primary MIMR optimization approach.
These erythropoiesis-independent effects are potentially useful as a supplement for the treatment of chronic heart failure (CHF).
MediaGuardian reverted to a supplement for the MediaGuardian Edinburgh International Television Festival, but from Monday will be in the main section of the paper again.
Since α,γ-diketo acid (DKA) compounds were identified as potent and selective inhibitors for HIV integrase, numerous structural modification studies have been carried out to search for a clinical candidate as a supplement for the highly active antiretroviral therapy regimen.
Similar(43)
However, while cost is an important input variable, the effectiveness of a supplement for achieving the desired endpoint is equally important.
Beginning a series of newspaper supplements in late 1928, Wallez founded a supplement for children, Le Petit Vingtième (The Little Twentieth), which subsequently appeared in Le Vingtième Siècle every Thursday.
But the busiest places yesterday were the evacuation centres, where children were being vaccinated against measles and polio and given vitamin A supplements for strengthening the immune system.
First, only clusters for which the choice between a brand and a generic drug incurred a reference supplement for the patient were included.
Thus, piperine should be further studied with regard to use either as a pharmaceutical or as a dietary supplement for the treatment of arthritis.
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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