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The phrase "a function of the age of" is correct and usable in written English.
It is typically used in contexts where one variable is dependent on or influenced by the age of another variable, often in scientific or statistical discussions.
Example: "The growth rate of the plant is a function of the age of the seedling."
Alternatives: "dependent on the age of" or "related to the age of".
Exact(28)
(F ) Fraction of divisions during which the age-associated protein deposit is asymmetrically inherited by the mother cell as a function of the age of the mother cell (N = 66 to 306 divisions per age group from 2-3 indexperimentsperiments. The approximate mother cell age was estimated from separate bud scar analysis).
Such a trend might even be a function of the age of austerity: after all, when there's so much real pain all around, who wants to see fake malice on TV?
In a radiation-dominated early universe, for example, the radiation temperature T is very precisely known as a function of the age of the universe, the time t after the big bang.
B CC is a function of the age of the children, the number of children, and the gross household income.
B SA is a function of the age of the children, the number of children, housing rent, and the disposable household income.
The rate of sequestration is based on average growth rates for the region as a function of the age of the forest.
Similar(32)
Maybe that's a function of the neighborhood, whose hipsters are aging and being joined by more settled, stodgy types.
Those "human" qualities are obviously a function of scale, age, and the imprint of hand labor, though perhaps not merely.
It is a function of his age and ailments, and it has been going on for an awfully long time.
Or maybe it's a function of my age and background.
This depth increases significantly as a function of catalyst age.
More suggestions(16)
a function of the proportion of
a sense of the age of
a function of the imperative of
a relic of the age of
a function of the curse of
a function of the technology of
a function of the problem of
a symbol of the age of
a function of the distribution of
a function of the diameter of
a function of the structure of
a function of the supply of
a correlation of the age of
a flavour of the age of
a function of the deviation of
a function of the giddiness of
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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