Revision as of 16:15, 26 January 2015 edit Cuzkatzimhut (talk \| contribs) Extended confirmed users 10,430 edits →Some formulas for fractional iteration: incorporated subexample into primary example and renumbered, to avoid confusion, as just witnessed. ← Previous edit		Revision as of 08:35, 18 February 2015 edit undo Marc van Leeuwen (talk \| contribs) Extended confirmed users, Pending changes reviewers 2,666 edits →top: Rewrote nonsense in lead: no function is obtained by iterating itself and infinite iteration does not produce a function. Also removed the incomprehensible and unsourcable term "splinter". Next edit →
Line 1: In [[mathematics]], an '''iterated function''' is a function ''X → X'' (that is, a function from some set ''X'' to itself) which is obtained by [[function composition\|~~composed~~composing]] ~~with~~another ~~itself, possibly~~function ''~~[[ad infinitum]]~~f'' : ''X → X'', inwith itself a certain nober of times. The process of repeatedly applying the same function is called [[iteration]]. In this process, starting from some initial number, the result of applying a given function is fed again in the function as input, and this process is repeated~~. The sequence of functions that is obtained from this process is called the ''splinter'' or the discrete part of the iteration [[Orbit (dynamics)\|orbit]]~~. Iterated functions are objects of study in [[computer science]], [[fractals]], [[dynamical system]]s, mathematics and [[renormalization group]] physics.

Iterated function: Difference between revisions