Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Infinite tetration and superroot of infinitesimal
#37
andydude Wrote:Also, if it is "universal notation" as you say, then can you provide some references? So far all references I've encountered about infinitesimals and hyper-reals use .

Andrew Robbins

Yes it is imaginary unit =sqrt(-1) which is infinitesimal, in my thinking. Imaginary infinitesimal angles. That is a speculation. Infinitesimals of length are dx, dy.

No, I can not provide . The closest I have seen is this link from prof. Bell, and it involves epsilon - so far I have not been able to find a place for it in a scaled math. i*epsilon is infinitesimal imaginary. In my opinion, infinitesimal angle with infinitesimal length. But I am not sure.

http://publish.uwo.ca/~jbell/invitation%20to%20SIA.pdf

Quote:But spacetime theory in SIA forces one to use imaginary units, since,infinitesimally, one can’t “square oneself out of trouble”. This being the case, it would seem that, infinitesimally, Wheeler et al.’s dictum needs to be replaced by Vale “ic(t)”, ave “iε” !
Reply


Messages In This Thread
RE: Infinite tetration and superroot of infinitesimal - by Ivars - 01/05/2008, 10:30 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 1,093 03/20/2018, 12:16 AM
Last Post: tommy1729
  [MO] Is there a tetration for infinite cardinalities? (Question in MO) Gottfried 10 11,580 12/28/2014, 10:22 PM
Last Post: MphLee
  Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 5,017 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 6,719 07/17/2013, 09:46 AM
Last Post: Gottfried
  Wonderful new form of infinite series; easy solve tetration JmsNxn 1 4,296 09/06/2012, 02:01 AM
Last Post: JmsNxn
  the infinite operator, is there any research into this? JmsNxn 2 5,364 07/15/2011, 02:23 AM
Last Post: JmsNxn
  Infinite tetration of the imaginary unit GFR 40 53,343 06/26/2011, 08:06 AM
Last Post: bo198214
  Infinite Pentation (and x-srt-x) andydude 20 25,332 05/31/2011, 10:29 PM
Last Post: bo198214
  Infinite tetration fractal pictures bo198214 15 22,607 07/02/2010, 07:22 AM
Last Post: bo198214
  Infinite towers & solutions to Lambert W-function brangelito 1 3,732 06/16/2010, 02:50 PM
Last Post: bo198214



Users browsing this thread: 2 Guest(s)