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  1. Relation (mathematics) - Wikipedia

    • In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. As an example, "is less than" is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not between the values 3 and 1 nor between 4 a… See more

    Definition

    Given a set X, a relation R over X is a set of ordered pairs of elements from X, formally: R ⊆ { (x,y) | x, y ∈ X }.
    The statement (x,y) ∈ R reads "x is R-related to y" and is written in infix notation as xRy. The or… See more

    Representation of relations

    A relation R on a finite set X may be represented as:
    Directed graph: Each member of X corresponds to a vertex; a directed edge from x to y exists if and only if (x,y) ∈ R.
    Boolean m… See more

     
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