logit coefficients growth pattern
#3
(08/20/2022, 12:32 PM)Gottfried Wrote: Super!

I see that the local maxima/minima still follow soft/smooth curves. I guess this might be better linearized by changing the additive constant in the factorial expression (I'd found \( (k-3)! \) by playing with this term). Perhaps even \( \Gamma(1+k - d) \) - with \( d \) better adapted values, maybe fractional...

You mean the last picture where the minima/maxima slightly increase. Yes, but actually the interval is just too short to really see how it continues for bigger indexes and computation time is more than exponential. But yes when I plugged in 2.9 instead of 3 it looked more equal-sized (I don't provide picture).

But this really looks like there is continuous periodic formula for the coefficients - I mean in the limit to high indexes.
Reply


Messages In This Thread
logit coefficients growth pattern - by bo198214 - 08/20/2022, 10:33 AM
RE: logit coefficients growth pattern - by bo198214 - 08/20/2022, 01:56 PM
RE: logit coefficients growth pattern - by JmsNxn - 08/21/2022, 01:18 AM
RE: logit coefficients growth pattern - by JmsNxn - 08/22/2022, 02:51 AM
RE: logit coefficients growth pattern - by JmsNxn - 08/27/2022, 01:18 AM
RE: logit coefficients growth pattern - by JmsNxn - 08/28/2022, 05:52 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Half-iterate exp(z)-1: hypothese on growth of coefficients Gottfried 48 63,743 09/09/2022, 12:24 AM
Last Post: tommy1729
Question Repeated Differentiation Leading to Tetrationally Fast Growth Catullus 5 9,941 07/16/2022, 07:26 AM
Last Post: tommy1729
  Between exp^[h] and elementary growth tommy1729 0 5,687 09/04/2017, 11:12 PM
Last Post: tommy1729
  Taylor polynomial. System of equations for the coefficients. marraco 17 55,957 08/23/2016, 11:25 AM
Last Post: Gottfried
  Tetration series for integer exponent. Can you find the pattern? marraco 20 60,365 02/21/2016, 03:27 PM
Last Post: marraco
  Growth rate of the recurrence x(n+1) = x(n) + (arcsinh( x/2 ))^[1/2] ( x(n) )? tommy1729 0 6,128 04/29/2013, 11:29 PM
Last Post: tommy1729
  Growth of superexponential Balarka Sen 7 28,680 03/06/2013, 11:55 PM
Last Post: tommy1729
  Can we prove these coefficients must be constant? JmsNxn 0 5,789 06/03/2012, 09:17 PM
Last Post: JmsNxn
  General question on function growth dyitto 2 13,165 03/08/2011, 04:41 PM
Last Post: dyitto
  Coefficients of Tetrational Function mike3 3 17,661 04/28/2010, 09:11 PM
Last Post: andydude



Users browsing this thread: 2 Guest(s)