Computing Andrew's slog solution
#12
While not a proof, I think this makes it fairly likely that all the odd derivatives are positive/convex. I haven't tested yet, but I'm willing to bet they're all log-convex as well. I haven't tried to formally prove it, but I'm pretty sure that these facts define a uniqueness constraint. I.e., only one solution can have all its odd derivatives be positive like this and still manage to go through all the correct y-values for integer x.
~ Jay Daniel Fox
Reply


Messages In This Thread
Computing Andrew's slog solution - by jaydfox - 08/21/2007, 04:27 PM
RE: Computing Andrew's slog solution - by jaydfox - 08/21/2007, 04:41 PM
RE: Computing Andrew's slog solution - by jaydfox - 08/22/2007, 04:27 AM
RE: Computing Andrew's slog solution - by jaydfox - 08/22/2007, 10:41 AM
RE: Computing Andrew's slog solution - by jaydfox - 08/22/2007, 04:00 PM
RE: Computing Andrew's slog solution - by jaydfox - 08/22/2007, 04:06 PM
RE: Computing Andrew's slog solution - by jaydfox - 08/23/2007, 07:27 AM
RE: Computing Andrew's slog solution - by jaydfox - 08/23/2007, 04:43 PM
RE: Computing Andrew's slog solution - by jaydfox - 08/23/2007, 04:47 PM
RE: Computing Andrew's slog solution - by jaydfox - 08/24/2007, 07:07 AM
RE: Computing Andrew's slog solution - by jaydfox - 08/24/2007, 07:48 AM
RE: Computing Andrew's slog solution - by jaydfox - 08/24/2007, 03:20 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
Question Computing Kneser's Super Logarithm and its Analytic Continuation Catullus 2 5,954 07/10/2022, 04:04 AM
Last Post: Catullus
Question Computing Integer Tetrations Catullus 5 9,060 06/10/2022, 10:59 PM
Last Post: JmsNxn
  Revisting my accelerated slog solution using Abel matrix inversion jaydfox 22 68,933 05/16/2021, 11:51 AM
Last Post: Gottfried
  A note on computation of the slog Gottfried 6 26,207 07/12/2010, 10:24 AM
Last Post: Gottfried
  Improving convergence of Andrew's slog jaydfox 19 67,804 07/02/2010, 06:59 AM
Last Post: bo198214
  intuitive slog base sqrt(2) developed between 2 and 4 bo198214 1 10,115 09/10/2009, 06:47 PM
Last Post: bo198214
  SAGE code for computing flow matrix for exp(z)-1 jaydfox 4 22,181 08/21/2009, 05:32 PM
Last Post: jaydfox
  computing teh last digits without computing the number deepinlife 3 14,644 02/24/2009, 09:09 AM
Last Post: deepinlife
  sexp and slog at a microcalculator Kouznetsov 0 7,270 01/08/2009, 08:51 AM
Last Post: Kouznetsov
  Convergence of matrix solution for base e jaydfox 6 23,032 12/18/2007, 12:14 AM
Last Post: jaydfox



Users browsing this thread: 1 Guest(s)