A transitive property is one where, if a is related to b, and b to c, a is therefore related to c in some way. An example of this would be height. If a is bigger than b, and b is bigger than c, a must be bigger than c. Thus, height is a transitive property.
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transitive means for example, "if a=b and b=c, then a=c". reflexive means for example, "a=a, b=b, c=c, etc."
A=r mod z R= a relation which is reflexive symmetric but not transitive
Transitive PropertyThat's called the transitive property.
A simple example would be if a+b=d and b+c=d, then a+c=d.
A mathematical property, ~, is said to be transitive over a set S if, for any three elements, x y and z x ~ y and y ~ z implies than x ~ z. For example, "is greater than (>)" is transitive, but "is not equal to" is not.