Relations
Ordered Pair : - An ordered pair is a pair of entries in the specified order. Domain: - The domain of the relation r is the set of all first components of the ordered pairs. Range : - It is a collection of the second values in the ordered pair. Relation: - The relation between the two sets is defined as the collection of the ordered pair, in which the ordered pair is formed by the object from each set. Representation of Relation: - Roster form : - Set Builder form: - Equivalence relation Property: - In which satisfy these properties: - Reflexive relation Symmetric relation Transitive relation Types of Relations / Properties of Relations: - Reflexive Relation: - If every element of set A maps for itself, then set A is known as a reflexive relation. Symmetric Relation: - A relation R on a set is said to be symmetric iff Transitive relation: - A relation R on a set A is said to be transitive iff Irreflexive Relation: - Antisymmetric Relation: - Asymmetric Relation: - Identity r...