fake id(x) for better 2sinh method.
#1
For improving the 2sinh method so that it works for all bases > eta and other improvements I consider :

2sinh(fake id(x))

fake id(x) behaves like e/2 x for small x, like x for large real and like 0 for large imaginary part.

SO what is the best fake id(x) ? Remember we only want a single fixpoint (2sinh(fake id(x))=x) for any base.

maybe id(x) = exp(fakelog(x)) ...

Thinking...

regards

tommy1729


Messages In This Thread
fake id(x) for better 2sinh method. - by tommy1729 - 05/20/2014, 12:27 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  [2sinh] using exp(x) - exp(-3/5 x) tommy1729 2 757 06/18/2023, 11:49 PM
Last Post: tommy1729
  [2sinh] exp(x) - exp( - (e-1) x), Low Base Constant (LBC) 1.5056377.. tommy1729 3 992 04/30/2023, 01:22 AM
Last Post: tommy1729
  The ultimate beta method JmsNxn 8 2,081 04/15/2023, 02:36 AM
Last Post: JmsNxn
  [MSE too] more thoughts on 2sinh tommy1729 1 567 02/26/2023, 08:49 PM
Last Post: tommy1729
  greedy method for tetration ? tommy1729 0 508 02/11/2023, 12:13 AM
Last Post: tommy1729
  tommy's "linear" summability method tommy1729 15 3,805 02/10/2023, 03:55 AM
Last Post: JmsNxn
  another infinite composition gaussian method clone tommy1729 2 938 01/24/2023, 12:53 AM
Last Post: tommy1729
  Semi-group iso , tommy's limit fix method and alternative limit for 2sinh method tommy1729 1 876 12/30/2022, 11:27 PM
Last Post: tommy1729
  [MSE] short review/implem. of Andy's method and a next step Gottfried 4 1,741 11/03/2022, 11:51 AM
Last Post: Gottfried
  Is this the beta method? bo198214 3 1,569 08/18/2022, 04:18 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)