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 Applications of Tetration andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 01/01/2008, 05:57 PM I just wanted to show off a paper. I wrote this for my English class, because my teacher required we write a paper in the subject of our major, and since my major is math, I decided to do something that interests me. I left a few applications out due to the length of the paper with them included, some of the applications I know about, but either omitted or I wish I could talk more about: Applications of the super-logarithm to population modeling. Applications of the Lambert W function $(W(x) = {}^{\infty}(e^{-x})x)$ related to tetration. Hierarchies of height m on n nodes (trees with labeled leaves) $(DE_e^m(x))^{(n)}(0)$ Forests of height less than m on n nodes (trees with labeled nodes and unlabeled root) $(x \rightarrow {}^m{(e^x)})^{(n)}(0)$ Trees of height m on n nodes (trees with labeled nodes and labeled root) $(x \rightarrow {}^m{(e^x)}x)^{(n)}(0)$ Who knows what this generates! OIES has no applications. $(x \rightarrow {}^{m}x)^{(n)}(1)$ Fictional animal chase (Devaney's "Playing catchup with iterated exponentials") Fictional corporate policy (a story I wrote) Any spelling errors, corrections, comments, would be most welcome. Here's the paper: Applications of Iterated Exponentials. Andrew Robbins PS. Happy New Year! « Next Oldest | Next Newest »

 Messages In This Thread Applications of Tetration - by andydude - 01/01/2008, 05:57 PM RE: Applications of Tetration - by Ivars - 01/02/2008, 08:36 PM RE: Applications of Tetration - by andydude - 01/03/2008, 09:25 AM RE: Applications of Tetration - by Ivars - 01/03/2008, 11:55 AM RE: Applications of Tetration - by Ivars - 01/12/2008, 11:48 PM RE: Applications of Tetration - by bo198214 - 01/19/2008, 09:01 AM RE: Applications of Tetration - by Ivars - 01/20/2008, 08:32 AM RE: Applications of Tetration - by andydude - 01/20/2008, 09:40 AM RE: Applications of Tetration - by andydude - 01/20/2008, 09:50 AM RE: Applications of Tetration - by Gottfried - 01/20/2008, 01:35 PM RE: Applications of Tetration - by GFR - 01/20/2008, 04:46 PM RE: Applications of Tetration - by andydude - 01/22/2008, 05:02 AM RE: Applications of Tetration - by GFR - 01/22/2008, 11:45 AM RE: Applications of Tetration - by andydude - 01/22/2008, 07:19 PM RE: Applications of Tetration - by GFR - 01/23/2008, 03:00 PM

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