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The phrase "a universal set of" is correct and usable in written English.
It can be used when referring to a comprehensive collection or grouping that encompasses all relevant elements within a particular context.
Example: "In mathematics, a universal set of numbers includes all possible numbers that can be considered in a given discussion."
Alternatives: "a comprehensive collection of" or "an all-encompassing set of".
Exact(60)
These are the important and difficult questions that would need to be addressed instead of making comparisons on a universal set of variables, which may not universally apply.
Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit.
This requires a universal set of quantum gates that can perform arbitrary quantum logic.
del Campo, J. et al. A universal set of primers to study animal associated microeukaryotic communities.
To increase the chances of new product success, a universal set of critical activities and determinants have been recommended.
Environmental sustainability performance is evaluated using a universal set of equations that incorporates all the mentioned parameters.
The first challenges were purely mechanical traps and contraptions, using a universal set of materials pre-determined by Flowers, and the students loved it.
A universal set of parameters is found for hydrocarbon supercritical fluid mixtures depending only upon the supercritical fluid and the hydrocarbon family.
Further experiments with a learning procedure suggest that an automatic construction of SHUNYATA's heuristics on the basis of a universal set of elementary functions is feasible.
Blockchain is a different construct, providing a universal set of tools for cryptographic assurance of data integrity, standardized auditing, and formalized "contracts" for data access.
World leaders have this year agreed on a universal set of sustainable development goals; continuing forest destruction puts such rhetoric to an immediate test.
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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