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The phrase "approximation of the pace" is correct and usable in written English.
It can be used when discussing a rough estimate or assessment of speed or rate in various contexts, such as project timelines or performance metrics.
Example: "The approximation of the pace at which we are completing the project suggests we may finish ahead of schedule."
Alternatives: "estimate of the speed" or "assessment of the rate".
Exact(1)
Paulson, known in his Dartmouth College days as "the Hammer," slams us with fact after fact; it's a pretty good approximation of the pace he maintained on the job.
Similar(59)
History is always just an approximation of the past.
Multiplying the tax by 909.1 will give a close approximation of the price.
Even with his improved play, Williams won't soon be mistaken for a star; he's a role player through and through, but if he maintains some reasonable approximation of his current pace throughout the season, he'd at least become a very good one.
Its value was obvious at the Venice film festival last year, but it has grown in my mind since: what seemed like a plodding pace is actually a shrewd approximation of the steady drumbeat that effective reporting creates.
Of course, this might well be a faithful approximation of the real event it describes.
The most we can hope for is a reasonable approximation of the truth.
The truth is that most interviews in most media are merely an approximation of the encounter.
A creeping tightness slinking across the chest and gut is an approximation of the actual sensation.
It was a vague approximation of the form exhibited by top sprinters.
That same year, they held an approximation of the military funeral George Dorsey had never received.
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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