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2. Binary relation - Wikipedia

   en.wikipedia.org/wiki/Binary_relation

   It encodes the common concept of relation: an element is related to an element , if and only if the pair (,) belongs to the set of ordered pairs that defines the binary relation. An example of a binary relation is the "divides" relation over the set of prime numbers and the set of integers, in which each prime is related to each integer that is ...

3. Relation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Relation_(mathematics)

   In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. [1] 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 ...

4. Closure (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Closure_(mathematics)

   A binary relation on a set A can be defined as a subset R of , the set of the ordered pairs of elements of A. The notation x R y {\displaystyle xRy} is commonly used for ( x , y ) ∈ R . {\displaystyle (x,y)\in R.}

5. Logical matrix - Wikipedia

   en.wikipedia.org/wiki/Logical_matrix

   A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1)-matrix is a matrix with entries from the Boolean domain B = {0, 1}. Such a matrix can be used to represent a binary relation between a pair of finite sets. It is an important tool in combinatorial mathematics and theoretical computer science.

6. Dependence relation - Wikipedia

   en.wikipedia.org/wiki/Dependence_relation

   In mathematics, a dependence relation is a binary relation which generalizes the relation of linear dependence.. Let be a set.A (binary) relation between an element of and a subset of is called a dependence relation, written , if it satisfies the following properties:

7. Binary - Wikipedia

   en.wikipedia.org/wiki/Binary

   Binary function, a function that takes two arguments; Binary operation, a mathematical operation that takes two arguments; Binary relation, a relation involving two elements; Binary-coded decimal, a method for encoding for decimal digits in binary sequences; Finger binary, a system for counting in binary numbers on the fingers of human hands

8. Idempotent relation - Wikipedia

   en.wikipedia.org/wiki/Idempotent_relation

   In mathematics, an idempotent binary relation is a binary relation R on a set X (a subset of Cartesian product X × X) for which the composition of relations R ∘ R is the same as R. [ 1 ] [ 2 ] This notion generalizes that of an idempotent function to relations.

9. Composition of relations - Wikipedia

   en.wikipedia.org/wiki/Composition_of_relations

   In the mathematics of binary relations, the composition of relations is the forming of a new binary relation R ; S from two given binary relations R and S. In the calculus of relations, the composition of relations is called relative multiplication, [1] and its result is called a relative product.