• 1 Vote(s) - 5 Average
• 1
• 2
• 3
• 4
• 5
 Sexp redefined ? Exp^[a]( - 00 ). + question ( TPID 19 ??) tommy1729 Ultimate Fellow Posts: 1,605 Threads: 363 Joined: Feb 2009 09/06/2016, 04:23 PM I would like to say im not a huge fan of the usual definition used sexp(-2) = -oo. So i use two new functions resp definitions that are just a " shift ". Exp^[a](-00) = newsexp(a) Now newsexp(0) = -00 and Newslog(-00) = 0. Exp^[a](x) is still newsexp(newslog(x) + a). And newsexp is similar to ln , newslog is similar to exp. ----- As Said in the title a ( returning ?) question that should perhaps be posted as TPID 19 in the open problems section. Also clearly related to the above. Consider all C^oo solutions to f(x) = exp[1/2](x). Now consider the subset of those that satisfy For all real x : f ' (x) , f " (x) > 0. Then what are the max and min values of f ( - oo ). --- Although approximations exist , i am unaware of a good method , both in theory and numerical / practical. No closed form known to me , not even with tet type functions. If someone conjectured a closed form , i have no good method to consider proof or disproof ( only luck from iterations ). It is pointless to add links to related subjects here , because almost all of them are ! So , therefore , I consider it a key question , perhaps worthy of a TPID 19. ---- Regards Tommy1729 « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post A random question for mathematicians regarding i and the Fibonacci sequence. robo37 1 3,865 06/27/2022, 12:06 AM Last Post: Catullus Question about tetration methods Daniel 17 391 06/22/2022, 11:27 PM Last Post: tommy1729 TPID 4 tommy1729 30 51,835 06/18/2022, 10:40 PM Last Post: tommy1729 A question concerning uniqueness JmsNxn 4 9,505 06/10/2022, 08:45 AM Last Post: Catullus Revitalizing an old idea : estimated fake sexp'(x) = F3(x) tommy1729 0 307 02/27/2022, 10:17 PM Last Post: tommy1729 Math.Stackexchange.com question on extending tetration Daniel 3 2,080 03/31/2021, 12:28 AM Last Post: JmsNxn Kneser method question tommy1729 9 11,716 02/11/2020, 01:26 AM Last Post: sheldonison A Notation Question (raising the highest value in pow-tower to a different power) Micah 8 12,460 02/18/2019, 10:34 PM Last Post: Micah Math overflow question on fractional exponential iterations sheldonison 4 10,271 04/01/2018, 03:09 AM Last Post: JmsNxn Flexible etas and eulers ? TPID 10 tommy1729 0 3,119 08/19/2016, 12:09 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)