Research any topic before you write.
Find related topics. | Discover entities. | See connections. | Build a topical map.
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 a to c.
Examples, Related properties & Properties
Explore the main themes, entities and connections around Transitive relation. Start with the topic map, then use the sections below for research and deeper semantic analysis.
Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Browse the full topic structure. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
See the strongest relationship patterns around the current topic before diving into the raw triples.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
transitive relation set relations also example mathematics number displaystyle transitivity elements antitransitive reflexive binary preorder intransitive isbn one need r1
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Transitive relation | Field | Elementary algebra | 1.00 | infobox |
| Transitive relation | Statement | A relation R {\displaystyle R} on a set X {\displaystyle X} is transitive if, for all elements a {\displaystyle a} , b {\displaystyle b} , c {\displaystyle c} in X {\displaystyl… | 1.00 | infobox |
| Transitive relation | Symbolic statement | ∀ a , b , c ∈ X : ( a R b ∧ b R c ) ⇒ a R c {\displaystyle \forall a,b,c\in X:(aRb\wedge bRc)\Rightarrow aRc} | 1.00 | infobox |
| Transitive relation | Type | Binary relation | 1.00 | infobox |
| Transitive relation | is a | preorder | 0.90 | text |
| political questions or group preferences.Generalized to stochastic versions | instance of | Unexpected examples of intransitivity arise in situations | 0.80 | text |
| Transitive relation | related to Closure properties | The | 0.60 | section |
| Transitive relation | related to Closure properties | For | 0.60 | section |
| Transitive relation | related to Closure properties | Herbert Hoover | 0.60 | section |
| Transitive relation | related to Closure properties | Franklin | 0.60 | section |
| Transitive relation | related to Closure properties | Roosevelt | 0.60 | section |
| Transitive relation | related to Closure properties | Franklin Pierce | 0.60 | section |
These clusters group vocabulary that occurs around closely connected concepts in the source material.
Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.