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The phrase "a gradual set of" is correct and usable in written English.
It can be used when describing a collection or series of items, processes, or changes that occur slowly over time.
Example: "The researchers observed a gradual set of changes in the ecosystem as the seasons progressed."
Alternatives: "a progressive series of" or "an incremental collection of".
Exact(2)
These, we understand, are connected to a gradual set of changes at the company over the years as it has bedded down at Amazon.
Having a gradual set of new associates.
Similar(58)
Three diagenetic models, DR1, DR2 and DR2, were generated by setting a gradual deformation parameter of 0, 0.5 and 1, respectively.
The Alcatraz training plan set out a gradual build-up of distances, starting with three swims per week of around 20 or 30 minutes each, and steadily increasing distance and intensity.
With the proper leadership they can come to the defense of those about to be denied services they have already paid for, and at the same time they can set in motion a gradual privatization of the entire system.
Lawmakers set in motion a gradual reduction of those weeks in early 2012, with "tiers" of benefits falling away as state unemployment rates declined.
This situation is comparable with what pertains in Uganda, for example, where there has been a gradual shift of the task to set up intravenous lines from doctors to nurses which is not protected by existing laws and regulations for that country (31).
The computed minimal and complete rule sets point at a gradual difference of the simulations and data regarding the fraction of apoptotic cells, if antioxidants are inhibited.
Based on this, we proposed a gradual approach and a set of recommendations to promote the development and use of publicly-accessible datasets in the region.
In our experimental procedure, one set of Pocillopora damicornis nubbins was subjected to a gradual increase of water temperature from 28°C to 32°C over 15 days.
For the first 30-seconds of either setting, a gradual "ramp-up" sensation of the stimulation occurs.
More suggestions(20)
a sequential set of
a gradual adjustment of
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a stepwise set of
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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