Cartesian Product (of two sets S and T) Definition/Meaning:
The set of all ordered pairs of the form (s,t) with the property that s is a
member of S and t is a member of T; this is usually written as S x T. Formally,
S x T = {( s, t )|( s Î S and (t
Î T)}
If R denotes the set of real numbers, then R x R is j us t the set of points in
the (Cartesian) plane or it can be regarded as the set of complex numbers, hence
the name. The concept can be extended to deal with the Cartesian product of n
sets,
S1, S2 ... ,Sn
is the set of ordered n-tuples
with the property that each si is in Si. In the case where each
Si is the same
set S, it is customary to write Sn for
S x S x ... S (n terms)
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