Ok, I posted a math problem earlier - still working on that.
I am trying to understand something that is both partial order and equivalence relation.
Definition of partial order:
-reflexive
-antisymmetric
-transitive
Definition of equivalence relation:
-reflexive
-symmetric
-transitive
I am having a hard time thinking up what it means to be both a partial order and an equivalence at the same time, but apparently it's possible.
Could somebody perhaps explain to me with an example how something could ge both a partial order and an equivalence at the same time?
How could something be antisymmetric and symmetric at the same time?
I am trying to understand something that is both partial order and equivalence relation.
Definition of partial order:
-reflexive
-antisymmetric
-transitive
Definition of equivalence relation:
-reflexive
-symmetric
-transitive
I am having a hard time thinking up what it means to be both a partial order and an equivalence at the same time, but apparently it's possible.
Could somebody perhaps explain to me with an example how something could ge both a partial order and an equivalence at the same time?
How could something be antisymmetric and symmetric at the same time?
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