Wolfram Research

Mathematica MathWorld Wolfram Science More »

HOME

One-Term Nestedly Recursive Functions


	Recursion relations with a very simple form can lead to surprisingly complex behavior.


	Contributed by: Stephen Wolfram Based on: A live experiment at the 2003 NKS Summer School

The recursion relations are set up so that whenever they sample below

, the

is taken to have value 1.

It is quite common to see a long "transient," with complex behavior, followed by simple, essentially repetitive, behavior thereafter.

is the simplest example that seems never to yield simple behavior.

Functions like these were mentioned in A New Kind of Science, but first studied in detail in Stephen Wolfram's Live Experiment at the opening of the first NKS Summer School, in June 2003.

Recursive Sequences (NKS|Online)

http://www.wolframscience.com/summerschool/

"One-Term Nestedly Recursive Functions" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/OneTermNestedlyRecursiveFunctions/

Contributed by: Stephen Wolfram

Based on: A live experiment at the 2003 NKS Summer School

Mathematica 7 Just Released--Get Mathematica Player 7 Free--Download Now

Browse all topics

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

Wolfram Research

Site Index

RSS

Atom