Extended Abstract
Hussein S
Abstract
In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is known as the domain, and so therefore the set of all y-values is known as the range. Different kinds of Relation: Empty Relation: A relation R on a group A is termed Empty if the set A is empty set. Full Relation: A binary relation R on a collection A and B is termed full if AXB. Reflexive Relation: A relation R on a set A is termed reflexive if (a,a) € R holds for every element a € A . The identity relation consists of ordered pairs of the form (a,a), where a∈A. In other words, aRb if and on condition that a=b. Then “membership” could also be a relation R from X to Y: i.e., we’ve got xRy if x ∈ y. After all the above way of intelligent about relations is definitely formalized, as was suggested at school by Adam Osborne: namely, we will think about a relation R as a function from X ×Y to the two-element set {TRUE, FALSE}.