The phrase "a given relation" is correct and usable in written English.
It can be used in contexts such as mathematics, logic, or discussions about relationships between variables or entities.
Example: "In this study, we will analyze a given relation between temperature and pressure in gas laws."
Alternatives: "a specific relationship" or "a particular connection".
However, there are at least two ways to make sense of the idea of a relation without relata: (II) The relata of a given relation always turn out to be relational structures themselves on further analysis.
The most celebrated of these problems consisted of finding the curve or locus traced by a point whose distances from several fixed lines satisfied a given relation.
In the problem of Apollonius, for example, one sought to find the locus of points whose distances from a collection of fixed lines satisfied a given relation.
Databases organized with SQL are called relational because SQL provides the ability to query a database for information that falls in a given relation.
A network is a set of entities that are linked by a given relation [1].
We further separated CID relations in the test set into two groups with respect to whether a given relation appeared in the training set (i.e. overlapping or not).
Still, with diligence, one may discover the given relation for a given rectangle by close observation of how long and thin it is.
Specifically, given an arbitrary binary relation defined on a finite set, we ask if and when there exists a data set which can generate the given relation through revealed preference.
These given relations, a(L, k) and {d j, k)|j ≤ L}, are useful for building the approximation at any scale.
Suppose we have a structure with a given domain and some given relations of various arities, say \(\langle \bD, \bR_1, \ldots, \bR_n\rangle\).
Now, we give relation between a intuitionistic fuzzy uniformly convex normed space and a strongly intuitionistic fuzzy uniformly convex normed space.
