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The phrase "a set of further" is correct and usable in written English.
It can be used when referring to an additional collection or group of items, ideas, or actions that follow a previous mention.
Example: "The report includes a set of further recommendations to improve the project's outcomes."
Alternatives: "a collection of additional" or "a group of subsequent".
Exact(9)
It would be really useful if there were a set of further instructions for each of the Ten Commandments, say, to show you how to follow them.
Second, the asymmetric connectivity is disaggregated into its three components - dominant, equivalence and subordinate - to produce a set of further measures.
Rather, the Platonists thought that the first transcendent principle sustained a set of further immaterial principles and forms from which derive the diversity of the natural biosphere and which, through the agency of divine souls and forming principles (logoi principles that form matter at different times and places in its various ways), unfold themselves in space and time.
A set of further non-trivial PFM predictions is depicted in Figures S3 and S4.
Stacy2005 A set of further control recordings in wild-type mice are provided [ 17].
A set of further 23 species have been used to define the SDTF distribution in previous publications [ 32, 33, 45].
Similar(51)
We then performed a blinded analysis by HRMA in a set of 62 further samples of unknown genotype, obtained from patients with clinical characteristics suggestive of MAP.
By his death in 1592 he had scrawled in the margins of his copy of the most recent edition a significant set of further revisions, which were printed in a modified form in 1595.
Application of a refactoring operation creates a new set of dependency in the revised design as well as a new set of further refactoring candidates.
We detected interactions with FOLR1 and with a small set of further receptor candidates (Fig. 2c, Table 1; Supplementary Data 10 and 11).
President Kagame spoke of his desire to connect the discrete projects currently under way between MIT and Rwanda and to identify a clear set of further areas for collaboration, with Haba leading future discussions on behalf of his administration, and with the close involvement of the University of Rwanda.
More suggestions(1)
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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