Composit Relations

**oldguy** · December 1st 2007, 07:10 PM

Question:

S={(a,c),(b,d),(d,a)}

Construct S^2.

**Plato** · December 2nd 2007, 03:27 AM

If $S^2$ means $S \circ S$ then
$<br /> S \circ S = \left\{ {(b,a),(d,c)} \right\}$ .

**Jhevon** · December 2nd 2007, 12:49 PM

Originally Posted by Plato

If $S^2$ means $S \circ S$ then
$<br /> S \circ S = \left\{ {(b,a),(d,c)} \right\}$ .

i always wondered how they defined composite relations. i had a feeling they did it this way, but i was praying i was wrong. that seems to get tedious after a while. i've seen problems with S^5, that seems like a pain to find.

**Plato** · December 2nd 2007, 04:06 PM

Originally Posted by Jhevon

i always wondered how they defined composite relations. i had a feeling they did it this way, but i was praying i was wrong. that seems to get tedious after a while. i've seen problems with S^5, that seems like a pain to find.

Be careful! You do realize that some authors change things up.
It fairly standard for $S \circ S$ ; but can get tricky for $S \circ R$ .

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