Let f:XX be a function, X being any set. The n-th iteration of a function is the function which is obtained if f is applied n times, and is denoted by fn. More formally we define:




for nonnegative integers n. If f is invertible, then by going backwards we can define the iterate also for negative n.

Title iteration
Canonical name Iteration
Date of creation 2013-03-22 12:43:40
Last modified on 2013-03-22 12:43:40
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 9
Author mathwizard (128)
Entry type Definition
Classification msc 26A18
Synonym iterate