The phrase "a pair of sets" is correct and usable in written English.
It can be used when referring to two distinct sets, often in mathematical or logical contexts.
Example: "In this problem, we need to analyze a pair of sets to determine their intersection and union."
Alternatives: "two sets" or "a couple of sets".
Equivalently, it is a pair of sets \ V,E\) where \(E \subseteq V \times V\).
Monophyler uses the coalescent together with an arbitrary species tree to determine the monophyly probability for a set of lineages or the reciprocal monophyly probability for a pair of sets of lineages.
A general extension for such a default theory is a pair of sets of defaults (or conclusions thereof) that simultaneously satisfies two fixpoint equations.
Such a problem is not even semi-decidable, since, in order to determine whether a default is triggered by a pair of sets of sentences, one has to perform a consistency check, and such checks are not computable.
Dedekind proposed that the real numbers could be uniquely correlated with cuts in the rationals, where a cut was determined by a pair of sets (L, R) with the following properties: L and R are sets of rationals.
Definition 2.6 A pair of sets ( A, B ) is said to be proximal if A = A 0 and B = B 0. The following result follows from the proof of Theorem 2.1 in [9].
In their work, the preference relation between a pair of set-based individuals is defined.
Beg and Azam [5] extended Edelstein's theorem by considering a pair of set-valued mappings with a general contractive condition.
And I feel like we made a conscious effort to celebrate". The 'Eaters wound up celebrating plenty after Game 4, despite seeing an 18-15 lead turn into a pair of set points for the visitors.
Thus a rough set may be defined by a pair of crisp sets which give the lower and upper approximations of the original set.
After normalization of all descriptor sets, the difference between a pair of descriptor sets was calculated.
