Example
The figure shows a function ƒ that maps the set S = {0,1,2,3,4,5,6,7,8} to itself. If one starts from x0 = 2 and repeatedly applies ƒ, one sees the sequence of values
- 2, 0, 6, 3, 1, 6, 3, 1, 6, 3, 1, ....
The cycle to be detected is the repeating subsequence of values 6, 3, 1 in this sequence.
Read more about this topic: Cycle Detection
Famous quotes containing the word example:
“Our intellect is not the most subtle, the most powerful, the most appropriate, instrument for revealing the truth. It is life that, little by little, example by example, permits us to see that what is most important to our heart, or to our mind, is learned not by reasoning but through other agencies. Then it is that the intellect, observing their superiority, abdicates its control to them upon reasoned grounds and agrees to become their collaborator and lackey.”
—Marcel Proust (1871–1922)