The phrase "a relation holds" is correct and usable in written English.
It is typically used in mathematical or logical contexts to indicate that a certain relationship or condition is true or valid.
Example: "In this case, a relation holds between the variables x and y, demonstrating their direct correlation."
Alternatives: "a relationship is valid" or "a connection exists".
On this relational view of touch, all immediate tactual perception involves a relation holding between our body and objects in contact with it.
The most important of these are the following: (a) prehension is a relation holding between a type of experience and particulars of such kind that adjectives like "red" and "hot" can be predicated of them; (b) it is logically possible that a particular that was prehended as having a certain quality could have had that quality regardless of whether anyone ever prehended it.
Some (Armstrong 1991, Dretske 1977) think that the framework supports the idea that laws play a special explanatory role in inductive inferences, since a law is not just a universal generalization, but is an entirely different creature — a relation holding between two other universals.
Since M is an ordered ( α A, λ ) -weak-ANODM mapping with respect to J M, λ A, the following relation holds by Lemma 2.4 7) and the condition ( v x ⊕ v y ) ⊕ α A ( A ( u x ) ⊕ A ( u y ) ) = θ : 1 λ ( ( x ⊕ y ) + ( A ( u x ) ⊕ A ( u y ) ) ) ≥ v x ⊕ v y = α A ( A ( u x ) ⊕ A ( u y ) ).
You will recall that we always want an explanation of why a supervenience relation holds (see Section 3.7).
A similar relation holds in "The Immigrant," but in reverse.
It was found that a linear relation holds between the logarithm of electric resistance and elongation.
The result of the simulation agrees with experiment: a linear relation holds between the logarithm of electric resistance and elongation.
end{aligned} (15) A similar relation holds when one substitutes (x_{m(s -1}) and (x_{m(s -1}with (x_{n(s)-1}) and (x_{m(s)}), respectively.
