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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...18 KB (2,109 words) - 17:55, 6 May 2025
mathematics, an equivalence relation is a binary relation that is reflexive, symmetric, and transitive. The equipollence relation between line segments in...31 KB (4,473 words) - 10:22, 23 May 2025- mathematics, the transitive closure R+ of a homogeneous binary relation R on a set X is the smallest relation on X that contains R and is transitive. For finite...17 KB (2,306 words) - 08:24, 25 February 2025
is a relation that is reflexive, antisymmetric, and transitive, an equivalence relation is a relation that is reflexive, symmetric, and transitive, a function...36 KB (3,779 words) - 21:23, 16 May 2025- Closure (mathematics) (redirect from Reflexive transitive closure){\displaystyle (x,z)} , we define the transitive closure of R {\displaystyle R} on A {\displaystyle A} as the smallest relation on A {\displaystyle A} that contains...13 KB (1,837 words) - 06:17, 16 May 2025
- Intransitivity (redirect from Non-transitive relation)Antitransitivity is a stronger property which describes a relation where, for any three values, the transitivity condition never holds. Some authors use the term...12 KB (1,727 words) - 14:15, 20 February 2025
Directed acyclic graph (section Reachability relation, transitive closure, and transitive reduction)ordered as u ≤ v ≤ w. The transitive closure of a DAG is the graph with the most edges that has the same reachability relation as the DAG. It has an edge...45 KB (5,646 words) - 17:54, 7 June 2025
Group action (redirect from Transitive (group action))this relation; two elements x and y are equivalent if and only if their orbits are the same, that is, G⋅x = G⋅y. The group action is transitive if and...46 KB (5,742 words) - 17:46, 24 May 2025- antisymmetric, let alone asymmetric. Transitive for all x, y, z ∈ X, if xRy and yRz then xRz. A transitive relation is irreflexive if and only if it is...26 KB (2,184 words) - 02:05, 11 May 2025
- reflexive. An asymmetric relation is necessarily irreflexive. A transitive and irreflexive relation is necessarily asymmetric. left quasi-reflexive if whenever...12 KB (1,586 words) - 01:10, 26 May 2025
- is also necessary) R {\displaystyle R} is irreflexive and transitive. A transitive relation is asymmetric if and only if it is irreflexive: if a R b {\displaystyle...6 KB (835 words) - 11:12, 17 October 2024
- reachability relation as D. Equivalently, D and its transitive reduction should have the same transitive closure as each other, and the transitive reduction...16 KB (2,279 words) - 19:58, 12 October 2024
quasitransitivity is a weakened version of transitivity that is used in social choice theory and microeconomics. Informally, a relation is quasitransitive if it is symmetric...8 KB (833 words) - 23:57, 9 May 2025- is symmetric and transitive. If the relation is also reflexive, then the relation is an equivalence relation. Formally, a relation R {\displaystyle R}...7 KB (1,164 words) - 07:53, 5 July 2024
{\displaystyle xRz} . A transitive relation is irreflexive if and only if it is asymmetric. For example, "is ancestor of" is a transitive relation, while "is parent...63 KB (8,830 words) - 20:17, 22 May 2025- Symmetry, along with reflexivity and transitivity, are the three defining properties of an equivalence relation. "is equal to" (equality) (whereas "is...4 KB (385 words) - 06:02, 19 August 2024
- Look up transitivity or transitive in Wiktionary, the free dictionary. Transitivity or transitive may refer to: Transitivity (grammar), a property regarding...2 KB (236 words) - 08:53, 25 July 2024
transitive dependency is an indirect dependency relationship between software components. This kind of dependency is held by virtue of a transitive relation...4 KB (476 words) - 21:54, 17 February 2025- Transitivity is a linguistics property that relates to whether a verb, participle, or gerund denotes a transitive object. It is closely related to valency...10 KB (1,098 words) - 13:36, 26 May 2025
- types of binary relation. One specific variation of weak ordering, a total preorder (= a connected, reflexive and transitive relation), is also sometimes...802 bytes (152 words) - 19:28, 10 August 2021
- second is into transitive, intransitive, and merely non-transitive relations, which are defined as follows. A relation is said to be transitive, if, whenever
- other. It follows from this that the relation of belonging to the same category is reflective, symmetrical and transitive. By applying the principle of abstraction
- is true). A relation is transitive if for all values a, b, c: a R b and b R c implies a R c The relation greater-than ">" is transitive. If x > y, and