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The phrase "any set of relations" is correct and usable in written English.
It can be used in contexts discussing various types of relationships, connections, or associations between entities, such as in mathematics, sociology, or data analysis.
Example: "In this study, we will analyze any set of relations that exist between the variables to determine their impact on the outcome."
Alternatives: "any collection of relationships" or "any group of connections".
Exact(1)
It is doubtful whether any set of relations could be more mutually suppor-tive yet so fiercely determined to defeat their kin.
Similar(59)
Race, gender, etc. are not objective variables, rather they are a set of relations and practices that inter-relate.
Individual destinies recede, and one sees a set of relations, an arrangement, a set of allocations.
Finally, multi-directional material composition is mapped based on a set of relations.
CIA is a program which abstracts compilable C source code into a set of relations and summaries of software objects.
At the very least, the person who has been a mere statistic takes on flesh, gets a name and a set of relations.
Social roles are not determined according to some essential behavioural characteristics but emerge within a structure constituted as a network amalgamated according to a set of relations.
Starting with the notion that markets are composed of both producers and cultural elements, a two-mode and dynamic social network approach is used to define social structure as a set of relations among producers through cultural elements, and culture as a set of relations among cultural elements through producers.
The model defines a set of relations that differ from those present in a real patient along various dimensions.
The Relational Algebra defined by (Codd 1970; Codd 1991) allows to operate on, process and analyze a set of relations.
Each structural path is analogous to a set of relations between the objects within the PDF file.
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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