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The phrase "a series of nested" is correct and usable in written English.
It can be used when describing multiple layers or levels of something that are contained within one another, such as functions, structures, or categories.
Example: "The code contains a series of nested loops that iterate through the data set."
Alternatives: "a sequence of embedded" or "a collection of layered".
Exact(59)
Off comes the stone top, and a series of nested coffins appear.
One moment, we were inside a series of nested boxes, like a lost piece of sixties Op art.
In his search for answers to that mystery, he unwittingly disturbs a series of nested secrets, chief among them his own connection to Charles Manson and his "family".
His finest literary achievement was Melmoth the Wanderer (1820), a Gothic, Faustian tale of destruction told in a series of nested frame stories.
The idea is that you can have a "politics" list, a "good friends" list and an "aging rock musicians on Twitter" list, all separate from your main feed, like a series of nested Twitter accounts.
It provides a formal taxonomy of reproducers, arranging them in a series of nested classes.
Because the relationships among covariates are complex, we ran a series of nested models presented in the Webtable.
First, a series of nested models were specified that constrained the covariance between the pairs of constructs.
Correctly applying tree thinking requires a fundamental understanding that lineages of different taxa descend and diverge from one another through a series of nested ancestor-descendent relationships.
Using single-molecule techniques, Liphardt et al. have analyzed the folding and unfolding reactions of a series of nested RNA molecules.
Here we examine soil temperature for a series of nested catchments in the east of New South Wales, Australia over a twelve year period.
More suggestions(16)
a series of linked
a series of interconnected
a series of top down
a series of nesting
a series of hierarchical
a series of interwoven
a series of interrelated
a series of line
a series of superior
a series of interlocked
a sequence of nested
a system of nested
a family of nested
a classification of nested
a pair of nested
a range of nested
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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