In mathematics, a binary relation R ⊆ X×Y between two sets X and Y is total (or left total) if the source set X equals the domain {x : there is a y with...

a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain. A binary relation over sets X...

incomparable pairs Total relation, which may also mean connected relation (a binary relation in which any two elements are comparable). Total function, a partial...

In mathematics, a relation on a set is called connected or complete or total if it relates (or "compares") all distinct pairs of elements of the set in...

In mathematics, a binary relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates...

mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in...

mathematics, a relation on a set may, or may not, hold between two given members of the set. As an example, "is less than" is a relation on the set of...

reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to...

mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation ≤ {\displaystyle...

property defines a total relation. But a total relation may be heterogeneous. Serial relations are of historic interest. For a relation R, let {y: xRy} denote...

phrased as "a relation on X" or "a (binary) relation over X". An example of a homogeneous relation is the relation of kinship, where the relation is between...

relation is called the arity, adicity or degree of the relation. A relation with n "places" is variously called an n-ary relation, an n-adic relation...

categorically opposed to it. He argues that the slogan "misses the point of total relation needed in improvised theater." To Schwartz, it substantially interferes...

pay each other's bills, the relation is antisymmetric. Partial and total orders are antisymmetric by definition. A relation can be both symmetric and antisymmetric...

A symmetric relation is a type of binary relation. An example is the relation "is equal to", because if a = b is true then b = a is also true. Formally...

types of binary relation. One specific variation of weak ordering, a total preorder (= a connected, reflexive and transitive relation), is also sometimes...

physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic...

binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the converse of the relation 'child of'...

(2) as well. A relation which satisfies property (1) is called a total relation and a relation satisfying (2) is a single valued relation. "Bijection, Injection...

spin). The relation between the total angular momentum vector j and the total angular momentum quantum number j is given by the usual relation (see angular...

well-founded if the corresponding strict order is a well-founded relation. If the order is a total order then it is called a well-order. In set theory, a set...

In physics (specifically, the kinetic theory of gases), the Einstein relation is a previously unexpected[clarification needed] connection revealed independently...

mathematics, especially order theory, the covering relation of a partially ordered set is the binary relation which holds between comparable elements that are...

relation to its domain is an equivalence. Therefore, a right Euclidean relation on X that is also right total (respectively a left Euclidean relation...

other worlds of W (i.e., where R is a "total" relation). This gives the corresponding modal graph which is total complete (i.e., no more edges (relations)...

The given elements q in Q represent a univalent relation from Q to N. The solution R is a total relation and hence a function. Sudoku rules require that...

cuts. Synonym of Dedekind–MacNeille completion. Connected relation. A total or complete relation R on a set X has the property that for all elements x, y...

In mathematics, an asymmetric relation is a binary relation R {\displaystyle R} on a set X {\displaystyle X} where for all a , b ∈ X , {\displaystyle...

to develop analysis. A homogeneous relation R {\displaystyle R} on X {\displaystyle X} is called a total relation if for every a ∈ X , {\displaystyle...

single enterprise or site of production. It arises instead from the total relation between multiple enterprises and multiple branches of industry when...