Sentence examples for sets of ordered from inspiring English sources

If one were to view functions and sets of ordered pairs of a certain kind, then the x in xx would be a function (set of ordered pairs) that contains as an element a pair (x,y) whose first element would be x itself.

Relations can be represented by sets of ordered pairs (a, b) where a bears a relation to b. Sets of ordered pairs are commonly used to represent relations depicted on charts and graphs, on which, for example, calendar years may be paired with automobile production figures, weeks with stock market averages, and days with average temperatures.

We classify the pairwise transitive 2-designs, that is, 2-designs such that a group of automorphisms is transitive on the following five sets of ordered pairs: point-pairs, incident point-block pairs, non-incident point-block pairs, intersecting block-pairs and non-intersecting block-pairs.

Extensions include classes, sets, and functions considered as sets of ordered pairs and truth-values.

The result is an intensional theory of functions as rules of computation, contrasting with an extensional theory of functions as sets of ordered pairs.

(In our present example, we need not bring in infinite sets of ordered pairs of integers into the theory of rationals).."..

Our results extend and improve several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces.

PROFESSOR: A function abstractly is a set of ordered pairs.

A set of ordered pairs is called a two-place (or dyadic) relation; a set of ordered triples is a three-place (or triadic) relation; and so on.

In general, a relation is any set of ordered n-tuples of objects.

Relation, in logic, a set of ordered pairs, triples, quadruples, and so on.