Cartesian Product: For a given
sequence of sets X1, .. ,Xn the sequences of
elements of these sets that
satisfy them simultaneously. In something close to the standard notation
of set theory: { (x1, .. ,xn): (x1, .. ,xn) e (X1, .. ,Xn) } = CP(X1, .. ,Xn)
This may be read
as "the sequences made up of respectively x1 .. xn that are element of
the sequence of sets of respectively X1 .. Xn (with x1 an element of X1,
x2 of X2 and so on)" taken together form the Cartesian Product (CP) of X1 ... X.
This is a very powerful
idea from set theory that helps to analyse and explain anything
whatsoever that is structurally complex.
