Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Iteration basics
#3
So easy!

So iteration of a function is function repeatedly applied. I-times applied function is as strange as I times 2*2*2*...., but different. I- times applied multiplication is multiplication operation applied i times= 2^i. 2+2+2+ i times is either 2 times i or i times 2. Hmm.

There must be a wealth of possible outcomes.

i times applied tetration is giving- what? Imaginary height of power tower is also strange.

a[4]i = ?

(i^(1/i))[4]infinity = i so

a[4]i= a[4]((i^(1/i))[4] infinity)

I have no idea what are rules in those brackets. We can nest i's like this forever.

Thanks, Gottfried.

Ivars
Reply


Messages In This Thread
Iteration basics - by Ivars - 03/20/2008, 10:34 AM
RE: Iteration basics - by Ivars - 03/20/2008, 05:24 PM
RE: Iteration basics - by Gottfried - 03/21/2008, 08:37 AM
RE: Iteration basics - by Ivars - 04/03/2008, 08:05 AM
RE: Iteration basics - by Gottfried - 04/03/2008, 08:19 AM
RE: Iteration basics - by Ivars - 04/03/2008, 10:13 AM
RE: Iteration basics - by andydude - 04/05/2008, 11:35 PM
RE: Iteration basics - by Gottfried - 04/06/2008, 07:16 AM
RE: Iteration basics - by Ivars - 04/06/2008, 08:55 AM
RE: Iteration basics - by andydude - 04/07/2008, 12:01 AM
RE: Iteration basics - by Ivars - 04/20/2008, 10:15 PM
RE: Iteration basics - by bo198214 - 04/21/2008, 08:21 PM
RE: Iteration basics - by andydude - 04/22/2008, 05:30 AM
RE: Iteration basics - by Ivars - 04/22/2008, 07:02 AM
RE: Iteration basics - by Ivars - 04/09/2008, 07:56 PM
RE: Iteration basics - by Ivars - 05/09/2008, 09:45 AM
RE: Iteration basics - by bo198214 - 05/09/2008, 02:49 PM
RE: Iteration basics - by Ivars - 05/27/2008, 10:33 AM
RE: Iteration basics - by Gottfried - 05/27/2008, 07:35 PM
RE: Iteration basics - by Ivars - 05/30/2008, 06:08 AM
RE: Iteration basics - by Xorter - 01/02/2017, 05:21 PM
RE: Imaginary iterates of exponentiation - by Ivars - 03/20/2008, 12:35 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Iteration series: Different fixpoints and iteration series (of an example polynomial) Gottfried 0 4,317 09/04/2011, 05:59 AM
Last Post: Gottfried
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 10 25,242 06/09/2011, 05:56 AM
Last Post: bo198214
  Hyperoperators [n] basics for large n dyitto 9 14,905 03/12/2011, 10:19 PM
Last Post: dyitto



Users browsing this thread: 1 Guest(s)