iteration
Let be a function, being any set. The -th iteration of a function is the function which is obtained if is applied times, and is denoted by . More formally we define:
and
for nonnegative integers . If is invertible, then by going backwards we can define the iterate also for negative .
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 |