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The phrase "a relation that" is correct and usable in written English.
It can be used when describing a connection or association between two or more entities or concepts.
Example: "In mathematics, a relation that defines the relationship between two sets is called a function."
Alternatives: "a connection that" or "an association that".
Exact(59)
Questions remain about the nature of this causal relation understood as a relation that relates both token events and universals.
It is a relation that is highly flattering to the Scots, and particularly their Edinburgh chapter.
A relation that is neither symmetrical nor asymmetrical is said to be nonsymmetrical.
A relation that is reflexive, symmetrical, and transitive is called an equivalence relation.
A relation that is neither transitive nor intransitive is said to be nontransitive.
An analytic equation implied the existence of a relation that remained valid as the variables changed continuously in magnitude.
In fact, the fearless modernist still lived with her mother, in a small apartment in Brooklyn, in a relation that had the appearance of deep filial devotion.
A portrait stands to its sitter in a relation that is not unlike that which obtains between a description and the thing described.
The first has to do with his contact with American cultural anthropology, a relation that is ambiguous since it is so much "at a distance", as was to be his attitude to all other contemporary theoretical influences.
For example, said Somerville's mayor, Joseph A. Curtatone, heterosexual couples have never been asked whether they are cousins, a relation that would make their marriage invalid in many states.
An equivalence relation is a relation that is reflexive, symmetric and transitive.
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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