- #1

SithsNGiggles

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My question is, what does it mean to

*define*an operation? What's the procedure here? My prof didn't give any examples, so I don't know what to do here.

The definition for binary operation (which I think I have a grasp on) given by our textbook is:

"Given a set [itex]S[/itex], a

**binary operation**[itex]\bullet[/itex] on [itex]S[/itex] is a function from [itex]S\times S[/itex] into [itex]S[/itex]. The image under [itex]\bullet[/itex] of an element [itex](s_1,s_2) \in S\times S[/itex] is denoted by [itex]s_1 \bullet s_2[/itex]; that is, [itex]s_1 \bullet s_2 \in S[/itex]."