Antisymmetric is not the same thing as “not symmetric”, as it is possible to have both at the same time. However, a relation that is both antisymmetric and symmetric has the condition that . There are only such possible relations on .
An example of an antisymmetric relation on would be . One relation that isn’t antisymmetric is because we have both and , but
|Date of creation||2013-03-22 12:15:50|
|Last modified on||2013-03-22 12:15:50|
|Last modified by||aoh45 (5079)|