Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Infinite tetration and superroot of infinitesimal
GFR Wrote:
Ivars Wrote:Any 2 points on real axis are connected by a line (curve) which leaves real axis and goes to infinity and returns on next point, infinitesimally close to previous.


What? This has nothing to do with what I am trying to say. Are you joking?


No... It is my intuitive understanding of continuity. You were talking about sinusoids in real plane connecting h even h odd , or perhaps I misunderstood?

I just took the sinusoids out of real xy plane. Based on the fact that tetration tends to take real numbers away from purely real , why can not h(x) < e^-e when extented to real tetration parameter (so that between n odd and n interger as n-> infinity we have n real such that as z-> infinity but is not integer, x^^z = imaginary or complex?

Messages In This Thread
RE: Infinite tetration and superroot of infinitesimal - by Ivars - 01/28/2008, 10:29 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 1,169 03/20/2018, 12:16 AM
Last Post: tommy1729
  [MO] Is there a tetration for infinite cardinalities? (Question in MO) Gottfried 10 12,069 12/28/2014, 10:22 PM
Last Post: MphLee
  Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 5,195 05/06/2014, 09:47 PM
Last Post: tommy1729
  Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*... Gottfried 5 6,937 07/17/2013, 09:46 AM
Last Post: Gottfried
  Wonderful new form of infinite series; easy solve tetration JmsNxn 1 4,389 09/06/2012, 02:01 AM
Last Post: JmsNxn
  the infinite operator, is there any research into this? JmsNxn 2 5,499 07/15/2011, 02:23 AM
Last Post: JmsNxn
  Infinite tetration of the imaginary unit GFR 40 55,156 06/26/2011, 08:06 AM
Last Post: bo198214
  Infinite Pentation (and x-srt-x) andydude 20 26,252 05/31/2011, 10:29 PM
Last Post: bo198214
  Infinite tetration fractal pictures bo198214 15 23,166 07/02/2010, 07:22 AM
Last Post: bo198214
  Infinite towers & solutions to Lambert W-function brangelito 1 3,818 06/16/2010, 02:50 PM
Last Post: bo198214

Users browsing this thread: 1 Guest(s)