"circular" operators, "circular" derivatives, and "circular" tetration.
#15
Question 
JmsNxn defined \(\text{cxp}(x)\) as \(\sin(x)+\cos(x)\).
Please notice that that definition uses hyperbolic addition.
I define \(\text{cxp}(x)\) as \(\sin(x)\oplus\cos(x)\) where this kind of circular exponentiation is the super function of the super function of this kind of circular addition.
How do you work that out?
Please remember to stay hydrated.
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\
Reply


Messages In This Thread
RE: "circular" operators, "circular" derivatives, and "circular" tetration. - by Catullus - 07/27/2022, 08:05 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  How could we define negative hyper operators? Shanghai46 2 7,377 11/27/2022, 05:46 AM
Last Post: JmsNxn
  The modified Bennet Operators, and their Abel functions JmsNxn 6 11,891 07/22/2022, 12:55 AM
Last Post: JmsNxn
  The \(\varphi\) method of semi operators, the first half of my research JmsNxn 13 22,029 07/17/2022, 05:42 AM
Last Post: JmsNxn
  The bounded analytic semiHyper-operators JmsNxn 4 17,726 06/29/2022, 11:46 PM
Last Post: JmsNxn
  Holomorphic semi operators, using the beta method JmsNxn 71 100,483 06/13/2022, 08:33 PM
Last Post: JmsNxn
  Isomorphism of newtonian calculus rules for Non-Newtonian (anti)derivatives of hypers Micah 4 14,890 03/02/2019, 08:23 PM
Last Post: Micah
  Hyper operators in computability theory JmsNxn 5 21,562 02/15/2017, 10:07 PM
Last Post: MphLee
  Recursive formula generating bounded hyper-operators JmsNxn 0 7,229 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Rational operators (a {t} b); a,b > e solved JmsNxn 30 127,760 09/02/2016, 02:11 AM
Last Post: tommy1729
  holomorphic binary operators over naturals; generalized hyper operators JmsNxn 15 55,021 08/22/2016, 12:19 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)