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The phrase "a varying" is correct and usable in written English.
It can be used when describing something that changes or fluctuates in degree, amount, or nature.
Example: "The study focused on a varying range of temperatures to determine the effects on plant growth."
Alternatives: "a fluctuating" or "a diverse".
Exact(60)
This provides a varying proportion of scattering throughout the body.
Christie's will earn a varying percentage on each sale.
These relationships are always a varying mixture of autonomy and dependence, of degrees of mutuality.
People in the Clinton orbit say there are a varying gradations of perceived disloyalty.
These complexes have been found to be insoluble in a varying pattern in the lower alcohols.
The program automatically subtracts a varying CD4 negative background contributed by CD3+CD8 CD4– cells.
"The children recovered from their language delay at a varying rate.
It is inherited with a varying degree of expression in affected individuals.
The discharge coefficient is taken to be a varying parameter.
The key feature relies on a varying die section.
A pulse width modulator outputs a uniform frequency square wave with a varying duty cycle.
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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