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...
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binary relation associates elements of one set, called the domain, with elements of another set, called the codomain. Precisely, a binary relation over...
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incomparable pairs Total relation, which may also mean connected relation (a binary relation in which any two elements are comparable). Total function, a partial...
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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...
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mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in...
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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...
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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...
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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...
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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...
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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...
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types of binary relation. One specific variation of weak ordering, a total preorder (= a connected, reflexive and transitive relation), is also sometimes...
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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...
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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...
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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...
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categorically opposed to it. He argues that the slogan "misses the point of total relation needed in improvised theater." To Schwartz, it substantially interferes...
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A symmetric relation is a type of binary relation. Formally, a binary relation R over a set X is symmetric if: ∀ a , b ∈ X ( a R b ⇔ b R a ) , {\displaystyle...
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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...
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Bijection (redirect from Bijective relation)
(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...
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physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic...
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Glossary of order theory (redirect from Acyclic relation)
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...
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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'...
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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...
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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...
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to develop analysis. A homogeneous relation R {\displaystyle R} on X {\displaystyle X} is called a total relation if for every a ∈ X , {\displaystyle...
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mathematics, especially order theory, the covering relation of a partially ordered set is the binary relation which holds between comparable elements that are...
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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)...
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relation to its domain is an equivalence. Therefore, a right Euclidean relation on X that is also right total (respectively a left Euclidean relation...
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In physics (specifically, the kinetic theory of gases), the Einstein relation is a previously unexpected[clarification needed] connection revealed independently...
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Composition of relations (redirect from Relation composition)
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...
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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...
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