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The phrase "a function of a" is correct and usable in written English.
It is typically used in mathematical, scientific, or technical contexts to describe how one variable depends on another.
Example: "In this equation, y is a function of x, indicating that the value of y changes based on the value of x."
Alternatives: "dependent on a" or "related to a".
Exact(60)
"Layoffs are simply a function of a reduction in programming.
And, this is a function of a, b, and theta.
Of course, it's a function of a continuous variable.
OK, so that's a function of a, b, and theta.
The madness in the housing market is a function of a deeply unequal economy.
Her capacity to absorb and retain esoteric information is a function of a ravenous intellect.
"It's a function of a little confidence coming back into valuations," he added.
India's vulnerability, officials and analysts here say, is largely a function of a Pakistan in flux.
The expansion order is a function of a free parameter.
Sure, that could well be a function of a petty and tyrannical temperament.
Of course, as I stressed last time, it's a function of a continuous variable.
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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