Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Deriving tetration from selfroot?
#11
As far as I understand selfroot and any root:

Selfroot is x^(1/x):

Selfroot =

For positive x, is real, giving one real self root (k=0) , and infinite number of imaginary roots depending on ratio .

For negative x, will be imaginary, of the form:

so roots are:

, again infinite quantity in totality. m=0 gives:

,


For imaginary and complex x, tomorrow, with mistakes here also hopefully corrected.

Ivars
Reply
#12
Selfroot is x^(1/x):

Selfroot =

For Imaginary x, will be imaginary, of the form:

so roots are:

, again infinite quantity in totality. n=0 gives:

,

If

,

,

For n=0, k=0

,

Something wrong again; I will correct later.

Ivars
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  Tetration and selfroot as a topological transformation of CP1 into itself Ivars 4 4,850 12/18/2008, 01:58 PM
Last Post: Ivars



Users browsing this thread: 1 Guest(s)