WOLFRAM|DEMONSTRATIONS PROJECT

Composition of Binary Relations in Sets

​
number of elements
7
new relations
R
S
composition R ∘ S
union R ⋃ S
intersection R ⋂ S
none
Given two binary asymmetric relations
R
(red arrows) and
S
(green arrows), this Demonstration shows their composition
R◦S
(dashed blue), union
R⋃S
(dashed brown) and intersection
R⋂S
(dashed black).