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Showing posts with the label Fundamentals of Relations and Functions

Functions or Mappings

Let A B and be two non-empty sets. Then, a function f from set A to Bis a rule which associates ele… Read more Functions or Mappings

Composition of Relations

Let R $\subseteq$ A $\times$ B, S $\subseteq$ B $\times$ C, be two relations. Then, composition of … Read more Composition of Relations

Different Types of Relations

Void Relation An empty relation (or void relation) is one in which there is n… Read more Different Types of Relations

Relations

Let A B and be two non-empty sets. Then, a relation R from A to B is a subset of A $\times$ B.  Thu… Read more Relations

Cartesian Product

Let A and B be two non-empty sets. The cartesian product of A and B is denoted by A $\times$ B´ and… Read more Cartesian Product

Ordered Pair

Two elements a b and listed in a specific order form an ordered pair, denoted by (a, b). In an orde… Read more Ordered Pair