• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Fundamental Principles of Tetration marraco Fellow Posts: 93 Threads: 11 Joined: Apr 2011 03/08/2016, 06:58 PM (This post was last modified: 03/08/2016, 06:59 PM by marraco.) The outdated things most in need to be included on wikis, but do not have citable papers are: For bases between 0 and 1, tetration is a periodic function, damped for basis $\vspace{15}e^{-e} and very rapidly converging to a square wave function for basis $\vspace{15}0. (no proof, just numerical results). There is a direct connection to partition numbers (number theory), in the Taylor series. There is a direct connection to graph theory this way and this way. Also, many equations in use of different areas of mathematics already use iterated logarithms. But to consider those tetration to negative exponents, is necessary to consider tetration a multivalued function, with multiple branches. I threw the ball on those threads, but nobody got interested. I have the result, but I do not yet know how to get it. « Next Oldest | Next Newest »

 Messages In This Thread Fundamental Principles of Tetration - by Daniel - 03/08/2016, 03:58 AM RE: Fundamental Principles of Tetration - by sheldonison - 03/08/2016, 10:18 AM RE: Fundamental Principles of Tetration - by Daniel - 03/10/2016, 02:14 AM RE: Fundamental Principles of Tetration - by sheldonison - 03/10/2016, 03:06 AM RE: Fundamental Principles of Tetration - by sheldonison - 03/10/2016, 04:16 AM RE: Fundamental Principles of Tetration - by Daniel - 03/10/2016, 04:55 AM RE: Fundamental Principles of Tetration - by sheldonison - 03/11/2016, 08:50 AM RE: Fundamental Principles of Tetration - by marraco - 03/08/2016, 06:58 PM RE: Fundamental Principles of Tetration - by Daniel - 03/09/2016, 10:33 AM RE: Fundamental Principles of Tetration - by Gottfried - 03/11/2016, 08:52 AM RE: Fundamental Principles of Tetration - by tommy1729 - 03/12/2016, 01:27 PM RE: Fundamental Principles of Tetration - by tommy1729 - 03/15/2016, 12:11 AM

 Possibly Related Threads... Thread Author Replies Views Last Post A fundamental flaw of an operator who's super operator is addition JmsNxn 4 7,238 06/23/2019, 08:19 PM Last Post: Chenjesu

Users browsing this thread: 1 Guest(s)