• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 A more consistent definition of tetration of tetration for rational exponents UVIR Junior Fellow Posts: 16 Threads: 2 Joined: Aug 2007 09/30/2007, 04:41 PM GFR Wrote:Dear UVIR and Gottfried, I have examined with interest the "details" shown in the UVIR's posting. Unfortunately, I cannot agree with putting: b # n = y => b = y # (1/n). Dear GFR, There has already been at least one peer reviewed paper on this definition of tetraroots, so whether you "agree" or not is irrelevant. GFR Wrote:Moreover, I think that these two "tetration" formulas don't have any point in common. Their sets are disjoint. There is no similarity with the "exponentiation" case, where the power and the root functions are described in the same domain and we can find a root function representable as a power. I know but, unfortunately, ... this is the real problem. GFR Nonsense. The tetraroot is the exact reverse operation of tetration, since: $ {^{n}}({^{1/n}}x)={^{1/n}}({^{n}}x)=x$ Specifically, one can see the connection with infinite tetration, when one writes: $ lim_{n\rightarrow \infty}{^{1/n}}e=y\Leftrightarrow\\ e=lim_{n\rightarrow \infty}{^n} y\Leftrightarrow\\ y=e^{1/e}$ which is absolutely correct. « Next Oldest | Next Newest »

 Messages In This Thread A more consistent definition of tetration of tetration for rational exponents - by UVIR - 09/29/2007, 11:56 PM RE: A more consistent definition of tetration of tetration for rational exponents - by Gottfried - 09/30/2007, 10:39 AM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 09/30/2007, 11:26 AM RE: A more consistent definition of tetration of tetration for rational exponents - by GFR - 09/30/2007, 11:38 AM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 09/30/2007, 04:41 PM RE: A more consistent definition of tetration of tetration for rational exponents - by bo198214 - 09/30/2007, 06:18 PM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 09/30/2007, 07:33 PM RE: A more consistent definition of tetration of tetration for rational exponents - by bo198214 - 09/30/2007, 08:06 PM RE: A more consistent definition of tetration of tetration for rational exponents - by Gottfried - 09/30/2007, 09:46 PM RE: A more consistent definition of tetration of tetration for rational exponents - by bo198214 - 09/30/2007, 10:23 PM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 09/30/2007, 10:29 PM RE: A more consistent definition of tetration of tetration for rational exponents - by bo198214 - 09/30/2007, 11:10 PM RE: A more consistent definition of tetration of tetration for rational exponents - by GFR - 10/01/2007, 12:55 AM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 10/01/2007, 05:56 PM RE: A more consistent definition of tetration of tetration for rational exponents - by bo198214 - 10/01/2007, 06:24 PM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 10/01/2007, 07:32 PM RE: A more consistent definition of tetration of tetration for rational exponents - by GFR - 10/02/2007, 01:40 PM RE: A more consistent definition of tetration of tetration for rational exponents - by andydude - 10/07/2007, 03:37 PM RE: A more consistent definition of tetration of tetration for rational exponents - by andydude - 10/20/2007, 07:57 PM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 10/20/2007, 09:05 PM RE: A more consistent definition of tetration of tetration for rational exponents - by andydude - 10/21/2007, 07:19 AM RE: A more consistent definition of tetration of tetration for rational exponents - by UVIR - 10/21/2007, 10:47 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Tetration research: 1986 - 1991 Daniel 0 161 03/20/2020, 02:47 AM Last Post: Daniel umbral and tetration tetration101 3 333 03/02/2020, 06:28 AM Last Post: Daniel tetration from alternative fixed point sheldonison 22 32,132 12/24/2019, 06:26 AM Last Post: Daniel Constructing real tetration solutions Daniel 4 961 12/24/2019, 12:10 AM Last Post: sheldonison Thoughts on hyper-operations of rational but non-integer orders? VSO 2 930 09/09/2019, 10:38 PM Last Post: tommy1729 I need somebody to help me clarifiy the elementary knowledge for tetration Ember Edison 13 4,994 08/26/2019, 01:44 PM Last Post: Ember Edison Complex Tetration, to base exp(1/e) Ember Edison 7 3,005 08/14/2019, 09:15 AM Last Post: sheldonison Minimum axioms to extend tetration Daniel 0 563 07/21/2019, 11:38 AM Last Post: Daniel Critic of Tetration.org Daniel 2 1,061 07/21/2019, 01:32 AM Last Post: Daniel Dimesional analysis and tetration tetration101 1 1,054 06/23/2019, 08:43 PM Last Post: Chenjesu

Users browsing this thread: 1 Guest(s)