Post Reply 
 
Thread Rating:
  • 0 Votes - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
[Regular tetration] norming fixpoint-dependencies
08/31/2010, 05:36 AM (This post was last modified: 08/31/2010 05:40 AM by Gottfried.)
Post: #11
RE: [Regular tetration] norming fixpoint-dependencies
(08/30/2010 11:14 PM)tommy1729 Wrote:  i.e. z<> z^z => z^z =/= (z + z^^2)/2.

I explained in an earlier post my misuse of the z^^h-notation. (Oh, that was in the other thread only?, Then - sorry)
Ok. To make ascii-writing short I use it there (and now here) in that meaning:

using a base b, z^^h is b^b^...^b^z where h is the number of b,

in case of continuous: z^^h =

I think that "misuse" can be justified since we usually talk about a fixed chosen base ("b") and discuss the change of parameter z as iteration start, h as iteration "height" and z^^h as iteration result. Reading some "z^z" above I think there is a misunderstanding there.

Gottfried

Gottfried Helms, Kassel
Visit this user's website Find all posts by this user
Quote this message in a reply
08/31/2010, 11:55 PM (This post was last modified: 09/01/2010 02:57 PM by tommy1729.)
Post: #12
RE: [Regular tetration] norming fixpoint-dependencies
i will explain later ...

( edit ) i started a new thread in the general section related to (mainly) this and my ' f(x) = f(x^2) blunder thread '
Find all posts by this user
Quote this message in a reply
Post Reply 


Possibly Related Threads...
Thread: Author Replies: Views: Last Post
  abs f ' (fixpoint) = 0 tommy1729 0 7 Yesterday 07:59 PM
Last Post: tommy1729
  regular tetration at b=e^(-e) bo198214 6 608 08/23/2010 05:45 PM
Last Post: Gottfried
  [Regular tetration] bases arbitrarily near eta Gottfried 0 69 08/22/2010 09:01 AM
Last Post: Gottfried
  "Natural boundary", regular tetration, and Abel matrix mike3 9 429 06/24/2010 07:19 AM
Last Post: Gottfried
  Regular "pentation"? mike3 10 588 05/07/2010 06:07 AM
Last Post: mike3
  Regular slog for base sqrt(2) - Using z=2 jaydfox 13 1,359 03/10/2010 12:47 PM
Last Post: Gottfried
  regular slog bo198214 18 2,327 07/31/2009 08:55 AM
Last Post: bo198214
  Simplified regular tetration andydude 3 448 05/03/2009 09:33 AM
Last Post: bo198214
  the inconsistency depending on fixpoint-selection Gottfried 27 1,700 04/29/2008 08:15 AM
Last Post: bo198214



User(s) browsing this thread: 1 Guest(s)