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The phrase "a function of how fast" is correct and usable in written English.
It can be used when discussing the relationship between a variable and the speed at which something occurs or is processed.
Example: "The efficiency of the system is a function of how fast it can process data."
Alternatives: "dependent on the speed" or "related to the rate of".
Exact(2)
"The velocity of an organization is a function of how fast you make decisions," said Henderson.
Firm partner Paul Veradittakit says the target amount is a "function of how fast the space is moving, the talent coming in, the opportunities, and the sizing of rounds.
Similar(58)
"The foreclosure numbers are a function of how many loans are made," Mr. Karevoll said.
But demand has been a function of how many Toyota and Honda have produced.
"This is a function of how many votes and how many preferences you are able to attract," Cormann told Sky News.
It is also a function of how much oil moves down the Mississippi.
Productivity is a function of how much is produced or accomplished for however many hours worked.
First, the lack of some classical inequalities in the noncommutative setting forces to have a deeper knowledge of how fast a singular integral decreases L2 sense outside of the support of the function on which it acts.
Studying the transient time as a function of these two properties will give us a general understanding of how fast can entrainment be reached.
I guess it becomes a matter of how fast is too fast".
Bolt could jog 48 — and then how fast he closes is simply a question of how fast he has to run to beat Farah.
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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