Ads
related to: transitive vs reflexive verb exercises printable worksheets grade 2 math problems
Search results
Results From The WOW.Com Content Network
[1] [2] An example of a 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 have the reflexive property or is said to possess reflexivity. Along with symmetry and transitivity, reflexivity is one of three properties defining equivalence relations.
Since the reflexivization of any transitive relation is a preorder, the number of transitive relations an on n-element set is at most 2 n time more than the number of preorders, thus it is asymptotically (/ + ()) by results of Kleitman and Rothschild.
"Inherent" or "pronominal" (inherently or essentially) reflexive verbs lack the corresponding non-reflexive from which they can be synchronically derived. [8] In other words, the reflexive pronoun "is an inherent part of an unergative reflexive or reciprocal verb with no meaning of its own, and an obligatory part of the verb's lexical entry": [10]
Transitive relation, a binary relation in which if A is related to B and B is related to C, then A is related to C; Syllogism, a related notion in propositional logic; Intransitivity, properties of binary relations in mathematics; Arc-transitive graph, a graph whose automorphism group acts transitively upon ordered pairs of adjacent vertices
The relation "≥" between real numbers is reflexive and transitive, but not symmetric. For example, 7 ≥ 5 but not 5 ≥ 7. The relation "has a common factor greater than 1 with" between natural numbers greater than 1, is reflexive and symmetric, but not transitive. For example, the natural numbers 2 and 6 have a common factor greater than 1 ...
The transitive closure of this relation is a different relation, namely "there is a sequence of direct flights that begins at city x and ends at city y". Every relation can be extended in a similar way to a transitive relation. An example of a non-transitive relation with a less meaningful transitive closure is "x is the day of the week after y".