Pentation fractal bo198214 Administrator Posts: 1,615 Threads: 101 Joined: Aug 2007 08/02/2022, 08:34 PM (08/01/2022, 10:56 PM)JmsNxn Wrote: Kouznetsov refers to the regular iteration about $$b = e$$, as the Kneser iteration. This is based on his manner of constructing the function. Which I'm sure you're well aware of. His manner on the real line is real valued, and is what he always calls regular iteration. I see you mentioning the "regular Kouznetsov iteration" but can you exactly give me the pages where he makes that assumption?! By just skimming his pdf it looks like he refers to regular iteration just as everyone else does ... And anyways I would not suggest messing a well-defined term up only because Kouznetsov calls something else that way (what I doubt until I see the concrete passage) JmsNxn Ultimate Fellow Posts: 993 Threads: 117 Joined: Dec 2010 08/03/2022, 03:04 AM (This post was last modified: 08/03/2022, 03:06 AM by JmsNxn.) Yes, you are entirely correct. He wrote natural tetration! That's what I mixed up. I used to call natural iteration the schroder iteration in my head, so when I was mentally making the swap for regular iteration to natural iteration, I erroneously made a false equivalence. So, sorry you are absolutely right. He calls it natural tetration. That's a dumb mix up, lol. Greatest apologies again. So NOW the words make way more sense, I definitely was confused why I thought regular iteration could somehow be extended into the Crescent, and I'd see contradicting data, but I wasn't sure. This makes far more sense! I'll try my best to not screw up the terminology from here on out « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post Tetration Fractal Shanghai46 5 195 10/18/2022, 05:39 PM Last Post: Daniel pentation and hexation sheldonison 9 21,881 09/18/2019, 02:34 PM Last Post: sheldonison Tetration is pentation. This deserve more thinking. marraco 2 7,280 03/30/2015, 02:54 PM Last Post: marraco Mizugadro, pentation, Book Kouznetsov 41 98,445 03/02/2015, 08:13 PM Last Post: sheldonison [2014] The angle fractal. tommy1729 1 4,769 10/19/2014, 03:15 PM Last Post: tommy1729 Infinite Pentation (and x-srt-x) andydude 20 47,414 05/31/2011, 10:29 PM Last Post: bo198214 Regular "pentation"? mike3 12 35,430 04/04/2011, 03:16 AM Last Post: BenStandeven Pentation roots self but please you do... nuninho1980 2 11,000 11/03/2010, 12:54 PM Last Post: nuninho1980 Infinite tetration fractal pictures bo198214 15 40,254 07/02/2010, 07:22 AM Last Post: bo198214 Pentation's definitional ambiguity Base-Acid Tetration 14 38,043 12/15/2009, 11:23 PM Last Post: Base-Acid Tetration

Users browsing this thread: 1 Guest(s)