The cartesian power of a set X can be defined as:
The formal definition of an iterated function on a set X follows.
Figure 1 represents the set X painted grey and some boxes.
The set X is the set of all positions in your house.
The set X is the set of all such sequences.
Some important types of binary relations over a set X are:
The effective packing dimension of a set X is .
Note that each member of the set X is a point in .
The set X can be termed the closed upper half plane.
The set X and the empty set are open sets.
