Is there a smart way to dertermine wether a relation is called a partiel order.
For a relation to be a partiel order (dont know how you describe it) it has to be reflexive, antisymmetric and transitive.
reflexive: aRb <=> aRa
tansitive aRb <=> aRb and bRc => aRc
antisymmetric: aRb <=> aRb and bRa => a=b
Can you help me out to dertermine these?
xR1y <=>x + y = or <0
xR2y <=>x − y = or <0
xR3y <=>x + y < 0