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The phrase "a universal requirement" is correct and usable in written English
It can be used to describe something that is necessary or obligatory for everyone, regardless of circumstances or context. Example: "In order to ensure safety, wearing a helmet is a universal requirement for all cyclists."
Exact(27)
He introduced the first advanced computer science electives, and started advocating for the subject to be a universal requirement, like math or biology.
That is, a universal requirement for the evolution of group cycles in the model is that the size-mortality curve be U-shaped.
Oddly, Mr. Lieberman and those who support him often say that the loyalty oath mirrors an American practice, apparently mistaking the naturalization process for a universal requirement for all United States citizens.
Rights groups including the Gay, Lesbian and Straight Education Network, based in New York, are promoting a federal "safe schools" act to make this a universal requirement, although passage is not likely any time soon. 1 2 Next Page ».
"We like to say comfort is not a privilege, it's a universal requirement," said Mr. McKenna, whose company introduced the Diffrient Smart Chair, a no-fuss-to-adjust desk chair by the octogenarian industrial designer Niels Diffrient.
Failing a universal requirement of that sort, I find it hard to imagine what other metrics agencies could use to systematically decide who might reasonably be suspected of being an illegal immigrant.
Similar(33)
There was a nearly universal requirement for both continuous fetal monitoring and continuous intravenous infusion during TOLAC, with only one hospital in which women did not have to have either.
(ADA-E; Consensus) There is an almost universal requirement for insulin in the immediate critical care postoperative period in CF patients undergoing transplantation procedures, and many have long-term insulin requirements after transplantation (34– 34).
Thus impartialists hold that — contrary, perhaps, to appearances — impartiality is, indeed, a pervasive and universal requirement of morality.
On the other hand, some planning is required, not only as a practical matter but also as a means of fulfilling the universal requirement that the zoning meet some minimum standard of rationality.
For example, one state has no universal requirement for an identity inspection to be conducted on inter-state vehicles, while another only requires identity inspections on vehicles over 10 years old.
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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