Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
changing terminology (was: overview paper co-author invitation)
#45
Uh Oh I saw a problem with the f-logarithm terminology. What if it can mean a function/operator being plugged into the exp's Taylor series (powers meaning iteration)? Someone might call THAT a functional exponential, in analog to the matrix exponential...

consider this example (just an example, don't say it's circular because i use exp's taylor series) this statement of analyticity of a function:
Iff the following statement holds true for all

then the function is analytic in

Can you call such a usage an operator exponential?

Annotation: if you're confused about my example:
(x-x0) is scalar multiplication by x-x0, and d/dx is the differentiation operator ...
so
Apply that to f, and you get:
"Plug in" x_0 to this resulting function: .
Reply


Messages In This Thread
RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/22/2009, 05:50 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Are there any reputable sources verifying terminology? Chenjesu 0 805 08/09/2018, 08:20 PM
Last Post: Chenjesu
  Old Research Paper andydude 3 2,790 01/24/2018, 04:12 AM
Last Post: andydude
  Poll: revised super terminology poll Base-Acid Tetration 8 9,083 08/23/2009, 12:26 PM
Last Post: tommy1729
  Poll: hyper-operations terminology Base-Acid Tetration 3 5,277 08/22/2009, 05:08 PM
Last Post: Base-Acid Tetration
  overview paper co-author invitation bo198214 20 28,070 08/12/2009, 07:00 PM
Last Post: bo198214
  fractional powers of function inversion (was: changing terminology) Base-Acid Tetration 5 7,829 08/11/2009, 01:26 PM
Last Post: bo198214
  Paper with iteration intro andydude 4 6,128 05/13/2009, 07:53 AM
Last Post: andydude
  Hyper terminology andydude 1 3,209 09/17/2008, 02:23 PM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)