Relations and Functions: What is an Asymmetric Relation?

In this short video, we define what an Asymmetric relation is and provide a number of examples.

[@nononono-lm8id]

Thanks! This helped a lot. I only knew symmetric before

[@adnansamivlogs7789]

Thank you so much! I finally understood asymmetric relation!

[@davidho1258]

(a,a), (a,b), (b,a). not asymmetric because it have (a,a) but it is antisymmetric because it ignores a = b.

[@sasumary9439]

What's the difference between assymmetric and antisymmetric

[@calebfoxschool]

An antisymmetric relations mean that the relation is not symmetric. For example, let's define a relation R={(0,1),(1,0),(2,3)}. This relationship is not fully symmetric, and we can use (2,3) as a counter example. Thus, the relation is antisymmetric However, an assymetric relationship means that there is NO symmetry within the relationship. For example, let's define a relation S={(0,1),(2,3)} For every x, y in S, it is NOT the case that y S r. Thus, this relationship is assymetric.

[@Ibn_Ali36]

thanks a lot

[@LachlanPeters]

thanks

[@natashakaldi3479]

What is the difference between an asymmetric and an antisymmetric relation?

[@kevinliu4569]

ur accent is beautiful

[@davinchin5588]

thanks a lot

[@ARBB1]

thanks