Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Iteration basics

Linear Mode
Iteration basics
Ivars Offline
Long Time Fellow
****
Posts: 366
Threads: 26
Joined: Oct 2007
#19
05/09/2008, 09:45 AM (This post was last modified: 05/09/2008, 10:16 AM by Ivars.)
Another question:

While looking for possible application of time in mathematics, popped into mathematics of time scales: See

Time Scale calculus publications

Time scales and Lyapunov stability

The notion of complex unit circle and half plane being subcases of Hilger circle with different time scale graininess sound very much related to deeper (possibly) structure of real numbers.

I would like to ask a question is this approach somehow related to iterations of functions, higher operations, or can be related? As I understand( and I understand very little so far) it kind of gives an additional degree of freedom to look at discrete and continuos functions together. If so, it may also be used to add an extra degree of freedom to number axis itself.

Thank You in advance,

Ivars

P.S. A very interesting PPT review:

Time scales PPT review
Find
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

Possibly Related Threads…
Thread Author Replies Views Last Post
  [To Do] Basics of Iterating Relations MphLee 0 2,164 12/27/2022, 07:57 PM
Last Post: MphLee
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 17 53,451 06/11/2022, 12:24 PM
Last Post: tommy1729
  Iteration series: Different fixpoints and iteration series (of an example polynomial) Gottfried 0 7,918 09/04/2011, 05:59 AM
Last Post: Gottfried



Users browsing this thread: 1 Guest(s)