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"dependence of" is correct and usable in written English.
It can be used to indicate a relationship of dependence between two things. For example, "The dependence of economic growth on population size is undeniable".
Exact(57)
That approach, he said, bolstered the dependence of labels and artists on radio.
Today, the dependence of the United States on Chinese money looks less benign.
A running theme of Norberg's book is the dependence of such political argument on the media.
Potentially methane offers a workable solution to the necessary dependence of modern society on energy.
He hoped it would also lessen the dependence of working people on pawnbrokers.
Time dependence of the SUV. .
c Thickness dependence of transmittance.
b Dependence of the retraction speed.
Figure 12 Latitudinal dependence of the UMSL.
Similar(2)
This response neglects the time-dependence of chances.
Figure 6D shows the concentration-dependence of this effect.
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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