Search results
Results from the WOW.Com Content Network
A finitary or n-ary relation is a set of n-tuples. Specific types of relations include: Relation (mathematics) (an elementary treatment of binary relations) Binary relation (or diadic relation – a more in-depth treatment of binary relations) Equivalence relation; Homogeneous relation; Reflexive relation; Serial relation
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, ...
A relation is intransitive if this chain-like behavior is not always present. An example is the relation being a parent: if Tess is a parent of Bob and Bob is a parent of Carol, then it is not automatically the case that Tess is a parent of Carol. [72] Another distinction is between reflexive and irreflexive relations. Reflexive relations are ...
A homogeneous relation over a set is a binary relation over and itself, i.e. it is a subset of the Cartesian product . [14] [32] [33] It is also simply called ...
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion.
The equality equivalence relation is the finest equivalence relation on any set, while the universal relation, which relates all pairs of elements, is the coarsest. The relation " ∼ {\displaystyle \sim } is finer than ≈ {\displaystyle \approx } " on the collection of all equivalence relations on a fixed set is itself a partial order ...
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.
In mathematics and abstract algebra, a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation.The motivating example of a relation algebra is the algebra 2 X 2 of all binary relations on a set X, that is, subsets of the cartesian square X 2, with R•S interpreted as the usual composition of binary relations R and S, and with the ...