• 2 Vote(s) - 3 Average
• 1
• 2
• 3
• 4
• 5
 x exp(x) musing tommy1729 Ultimate Fellow Posts: 1,493 Threads: 356 Joined: Feb 2009 07/03/2009, 07:34 PM (07/03/2009, 03:40 PM)BenStandeven Wrote: Actually, I think you get exp(G(x)) ^^ 2^n = exp(G(x + n C)) = G(x + n C)/G(x + n C - C), where the operation is "symmetric" tetration (referring to the association method). I don't see any obvious way to get the usual "top down" tetration from this. Quote:and maybe f(x) can be found by current attempts for tetration. and G(x) might be found by inversing the ( modified ) carleman matrix of F(x) It would probably be simpler to find G directly. Quote:notice also that x exp(x) has a unique real fixed point !! Moreover, it is at zero, so it doesn't even need shifting. 1) interating exp ( 'anything' ) ^^ (2^n) seems serious overkill and overclocked speed !! so i dont think that can be correct. 2) simply finding G directly ? do you know a fixed point for G perhaps ? why do you think so ? 3) no we dont need shifting , 0 * exp(0) = 0 , i know that of course , in fact , thats partially why i mentioned it. regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread x exp(x) musing - by tommy1729 - 07/01/2009, 03:19 PM RE: x exp(x) musing - by BenStandeven - 07/03/2009, 03:40 PM RE: x exp(x) musing - by tommy1729 - 07/03/2009, 07:34 PM RE: x exp(x) musing - by BenStandeven - 07/04/2009, 11:25 PM RE: x exp(x) musing - by bo198214 - 07/05/2009, 07:12 PM RE: x exp(x) musing - by tommy1729 - 07/05/2009, 07:33 PM

 Possibly Related Threads... Thread Author Replies Views Last Post almost periodic musing tommy1729 1 4,060 06/17/2014, 12:24 PM Last Post: tommy1729 just another uniqueness musing Gottfried 5 10,176 02/12/2009, 12:10 AM Last Post: bo198214

Users browsing this thread: 1 Guest(s)