Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Periodic functions that are periodic not by addition
#1
The title may sound a little bit odd, but I was wondering if anything has ever been documented about functions that aren't periodic in the sense , but rather (if {p} represents an operator of p magnitude and }p{ reps its root inverse)

I ask because I've come across a curious set of "lowered operator" trigonometric function; if 0 <= q < 1, ;
or is the identity function,:




they satisfy



they follow all the laws sin and cos follow only with lowered operators (using logarithmic semi operators); ie









Pretty much any trigonometric identity you can think of these lowered operator trigonometric functions obey.

They also have a logarithmic semi operator Taylor series very much the same as their sine and cosine counterparts.

if

then




it can also be shown that if

Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  A fundamental flaw of an operator who's super operator is addition JmsNxn 4 5,872 06/23/2019, 08:19 PM
Last Post: Chenjesu
  The AB functions ! tommy1729 0 1,286 04/04/2017, 11:00 PM
Last Post: tommy1729
  the inverse ackerman functions JmsNxn 3 5,283 09/18/2016, 11:02 AM
Last Post: Xorter
  Between addition and product ( pic ) tommy1729 4 3,133 07/10/2016, 07:32 AM
Last Post: Gottfried
  Look-alike functions. tommy1729 1 1,730 03/08/2016, 07:10 PM
Last Post: hixidom
  Periodic analytic iterations by Riemann mapping tommy1729 1 1,854 03/05/2016, 10:07 PM
Last Post: tommy1729
  Inverse power tower functions tommy1729 0 1,631 01/04/2016, 12:03 PM
Last Post: tommy1729
  Can sexp(z) be periodic ?? tommy1729 2 3,381 01/14/2015, 01:19 PM
Last Post: tommy1729
  special addition tommy1729 0 1,566 01/11/2015, 02:00 AM
Last Post: tommy1729
  [2014] Uniqueness of periodic superfunction tommy1729 0 1,688 11/09/2014, 10:20 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)