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The phrase "a set of underlying" is correct and usable in written English.
It can be used when referring to a collection of fundamental or foundational elements that support a concept or idea.
Example: "The researchers identified a set of underlying factors that contribute to climate change."
Alternatives: "a group of fundamental" or "a collection of basic".
Exact(26)
Phonemes may be further analyzed in terms of a set of underlying distinctive features, features specifying the ways the sound is physically produced by passing breath through the throat and positioning the tongue and lips.
It's sometimes possible to group seemingly diverse problems together, determine a set of underlying causes, and then learn about those causes Once they are understood, solving the individual problems is often straightforward.
Until recently, most physicists took it on faith that as they refined their theories and upgraded their experiments they would eventually expose a set of underlying rules requiring the universe to be this way and this way only.
There are a set of underlying relationships, underlying balance of power, leverage on different sides, and you have to recognize when you are in a position to then on top of that find a solution given the underlying balance...
9 It includes deaths classified by a set of underlying causes within specific age groups (see supplementary appendix 1 on bmj.com).
Each of these three variables reflects a set of underlying accessible beliefs, which include behaviour beliefs, normative beliefs, and control beliefs for perceived behaviour control [ 14].
Similar(34)
For cases in which no tissue was available, patients were diagnosed with HCC if dynamic imaging findings (CT with intravenous contrast or MRI only) of a hypervascular solid liver mass with features characteristic for HCC were present in a setting of underlying risk factors, along with a clearly elevated serum alpha-fetoprotein (>100 ng/ml).
The non-stationary statistics of the color image is overcome by partitioning the image into a finite set of underlying local image structures and by applying an optimized nonlinear filter to restore each of the partitions accordingly.
Arming these disruptors' attacks and incumbents' responses will be a new set of underlying platforms and tools.
Systems that perform intelligent reasoning tasks on chemistry data require a diverse set of underlying computational utilities including algorithmic, statistical and logic-based tools.
More specifically, spatial and temporal heterogeneity can be considered outcomes of an overarching process (such as interdependence) that allows for procedural variation in its operation by the application of a unique set of underlying mechanisms and principles.
More suggestions(17)
a set of substantial
a set of genuine
a set of implied
a set of predicate
a set of ultimate
a set of elementary
a set of unwritten
a range of underlying
a set of structural
a set of intrinsic
a set of original
a set of baseline
a set of foundational
a set of inherent
a set of deep
a set of fundamental
a set of basic
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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