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The phrase "given the rapidity" is correct and usable in written English.
You can use it when referring to something that has a rapid rate of occurrence. For example, "Given the rapidity of climate change, it is important that we find sustainable solutions."
Exact(33)
Applying this technology to primary surgical glioma specimens, the resulting multiplexed phosphoprotein signature allowed for the rapid discrimination of growing tumor from necrotic tissue: actionable information that, given the rapidity of the assay, could potentially be integrated in near real-time within the clinical decision making process.
Given the rapidity with which such crises develop, outsiders are poorly positioned to provide substantive assistance to the opposition.
"The whole thing smells a bit given the rapidity of it and the way they shoved the thing through," Mr. Jepsen said.
But Mr. McManus said there was talk in the stock and bond markets now that the Fed would reduce rates before its scheduled session at the end of January, given the rapidity of the economic slowdown.
According to Carr, given the rapidity with which nicotine is absorbed by the human body, the smoker is almost constantly in a state of withdrawal − and thus mistakes the relief of these symptoms for the semblance of pleasure.
The skin coloration is a bit odd, but given the rapidity w/ which it appeared, I'd assume some form of nonspecific reactive dermatitis — possibly direct histamine release (local, therefore likely not IgE-mediated).
Similar(27)
"The SARS outbreak was an excellent illustration of the rapidity in which infectious diseases can spread throughout the world, given the rapid means of transportation," said Dr. Ram Koppaka, chief of the quarantine and border health services branch of the C.D.C.
Given the apparent rapidity of deposition, an age of ∼2 Ma for the archeological occurrences seems most likely.
Given the comparative rapidity of TWW referrals, this could be an example of a waiting time paradox (Crawford et al, 2002).
Given the presumed rapidity of the pivotal evolutionary events at this early stage in the evolution of eukaryotes, combined with the dramatic differences in the evolutionary rates among the supergroups, definitive elucidation of the true tree topology is extremely challenging (Philippe et al. 2000).
Given the relative rapidity of the decline in many brain cancer patients, an argument can be made that the opportunities for discussion are fewer and hence, more urgent, in these patients, whose life has been drastically changed over so little time.
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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