What do $R$, $R^2$ and $R^{-1}$ represent? Question
What do $R$, $R^2$ and $R^{-1}$ represent when $R$ is a relation on the set of natural numbers?
I'm doing some homework, but the $R^2$ and $R^{-1}$ notation confuses me.
Does $R^2 = R*R$?
Does $R^{-1} = \frac{1}{R}$?

Usually, $R^{-1}$ is defined as follows: $R^{-1}:=\{(b,a): (a,b) \in R\}$.
$R^2$ is more ambiguous, but most of the times it means this: $R^2:=\{(a,c): (a,b),(b,c)\in R$ for some $b \in \mathbb{N} \}$
