Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
changing terminology (was: overview paper co-author invitation)
So guys,

to solve our current problems, I come up with the following quite memorizable and hopefully non-confusing suggestion:

An -exponential is the times application of to .
An -logarithm returns the number of iterations of necessary to be applied on to obtain .
Additionally we may also have:
An -power is the times application of to (same as -exponential but function in , not in .)

Implicitely there is contained the concept of the Abel function: is an Abel function for each and that of a superfunction/iterational is a superfunction for each .

Also ability to specify an initial value on which the iterations are applied, was often asked for here on the forum.

Another thing is that imho it lets one think more in the direction of "a" -exponential, while the prefix "super" rather suggests "the" superfunction, super-exponential.
" is an -exponential". (How do the native speakers think about it?)

So we can leave the old super-notation in there previous meaning (though I think it is an unnecessary notation as everything can be specified with tetra-, penta-, etc. prefixes.)

Messages In This Thread
RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/11/2009, 12:06 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Sat March 6th second Tetration mtg; Peter Walker's 1991 paper sheldonison 13 4,750 03/07/2021, 08:30 PM
Last Post: JmsNxn
  The second iteration of my most recent paper JmsNxn 3 1,537 02/07/2021, 11:11 PM
Last Post: JmsNxn
  Are there any reputable sources verifying terminology? Chenjesu 0 2,579 08/09/2018, 08:20 PM
Last Post: Chenjesu
  Old Research Paper andydude 3 7,040 01/24/2018, 04:12 AM
Last Post: andydude
  Poll: revised super terminology poll Base-Acid Tetration 8 16,537 08/23/2009, 12:26 PM
Last Post: tommy1729
  Poll: hyper-operations terminology Base-Acid Tetration 3 8,954 08/22/2009, 05:08 PM
Last Post: Base-Acid Tetration
  overview paper co-author invitation bo198214 20 49,757 08/12/2009, 07:00 PM
Last Post: bo198214
  fractional powers of function inversion (was: changing terminology) Base-Acid Tetration 5 13,404 08/11/2009, 01:26 PM
Last Post: bo198214
  Paper with iteration intro andydude 4 11,255 05/13/2009, 07:53 AM
Last Post: andydude
  Hyper terminology andydude 1 5,623 09/17/2008, 02:23 PM
Last Post: bo198214

Users browsing this thread: 1 Guest(s)