Infinite tetration and superroot of infinitesimal
#53
A relevant question to previous:

If we take a differential of Imaginary unit, dI ,which is imaginary infinitesimal (also mentioned by prof. Bell as i*epsilon):

1) What would be its orientation relative to I ? ( most likely 90 degrees )
2) In which space we would see this orientation?
3) If multiplying by I means rotation by 90 degress in complex plane, would multiplying by dI mean infinitesimal rotation in what plane?
4) What is self root of dI? Or what tetration would result in dI?

Ivars
Reply


Messages In This Thread
RE: Infinite tetration and superroot of infinitesimal - by Ivars - 01/23/2008, 11:25 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  self penta root and infinite hexation Alex Zuma 2025 0 4,661 08/30/2025, 10:07 PM
Last Post: Alex Zuma 2025
  another infinite composition gaussian method clone tommy1729 2 5,597 01/24/2023, 12:53 AM
Last Post: tommy1729
  Interpolating an infinite sequence ? tommy1729 14 19,445 06/17/2022, 10:41 PM
Last Post: tommy1729
  Improved infinite composition method tommy1729 5 11,225 07/10/2021, 04:07 AM
Last Post: JmsNxn
  [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 6,391 03/20/2018, 12:16 AM
Last Post: tommy1729
  Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 17,822 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 22,880 07/17/2013, 09:46 AM
Last Post: Gottfried
  Wonderful new form of infinite series; easy solve tetration JmsNxn 1 11,410 09/06/2012, 02:01 AM
Last Post: JmsNxn
  Infinite tetration of the imaginary unit GFR 40 150,791 06/26/2011, 08:06 AM
Last Post: bo198214
  Infinite Pentation (and x-srt-x) andydude 20 71,686 05/31/2011, 10:29 PM
Last Post: bo198214



Users browsing this thread: 2 Guest(s)