meaning of transition ad
1. transition ad interstitial transitive A relation R is transitive if x R y & y R z => x R z. Equivalence relations, pre-, partial and total orders are all transitive. transitive closure The transitive closure R* of a relation R is defined by x R y => x R* y x R y and y R* z => x R* z I. e. elements are related by R* if they are related by R directly or through some sequence of intermediate related elements. E. g. in graph theory, if R is the relation on nodes "has an edge leading to" then the transitive closure of R is the relation "has a path of zero or more edges to". See also Reflexive transitive closure. transit network A network which passes traffic between other networks in addition to carrying traffic for its own hosts. It must have paths to at least two other networks. See also backbone, stub.