Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
binary_relation [2013/09/09 09:26] nikolaj |
binary_relation [2014/04/01 16:26] (current) nikolaj |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Binary relation ===== | ===== Binary relation ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $X,Y$ | | + | | @#55CCEE: context | @#55CCEE: $X,Y$ | |
| - | + | | @#FFBB00: definiendum | @#FFBB00: $ \text{Rel}(X,Y) \equiv \mathcal{P}(X\times Y) $ | | |
| - | | @#FFBB00: $ \text{Rel}(X,Y) \equiv \mathcal{P}(X\times Y) $ | | + | |
| + | ==== Discussion ==== | ||
| The set of all binary relations on $X\times Y$. | The set of all binary relations on $X\times Y$. | ||
| - | ==== Discussion ==== | ||
| If $R$ is a binary relation, we write $x R y\equiv \langle x,y\rangle \in R$ | If $R$ is a binary relation, we write $x R y\equiv \langle x,y\rangle \in R$ | ||
