Poll: We need a new subsection for Hyperoperations and related studies.
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YES, let's add a new subsection.
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NO, there is no need for a new subsection.
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[Poll] Add a new subsection to the forum
#1
I realized that I posted this in the wrong place so here's the fix. This can be seen as a followup of this post.


Since 2007 lot of new threads and ideas appeared on the forum.
I still think that the forum categorization should be minimal: the General Discussion/Computation partition should be conserved. It is the division between theoretic arguments and real implementation.

Now, in 2022, I believe that the General discussion section (theory) should have at least one subsection. I feel like a post here should be by default about tetration or iteration: so no need for a subsection specific for Tetration or Iteration theory. But a subsection for generalized hyperoperations can be useful, I think.
Here some example of the thread that should be moved to a new "Generalized Hyperoperations" subsection
  • All the threads about Zeration, and sub-addition operators;
  • Everything about Knuth's , Conway's, Nambiar's, Reihenalgebra... and other notations including notations for large numbers that use ranks bigger than 4;
  • All the threads about balanced and Bennet/commutative hyperoperations;
  • All the threads discussing Goodstein and Ackermann function;
  • Everything about Trapmann's Arborescent Numbers;
  • Extension of Ackermann or of Goodstein Hyperoperations to non-integer ranks (mainly Jmsn's);
  • All the discussions about tetration and higher ops. over transifinite ordinals/cardinals;
  • All the Tommy's threads about various exotic functional equations for alternative H.Os. sequences;
  • Everything about iteration of iteration, and higher form of iteration, kind of stuff;

What should NOT end up there:
  • Integer tetration, integer pentation;
  • Discussion about alternative to tetration if the do not contain explicit discussion of extending to higher ranks;
  • The study of the dynamics and analytic properties of exponentiation, and tetration functions;
  • The problem about half, rational and real/complex iteration;
  • Fractals;
  • General theory of superfunctions (Kouznetsov's);
  • Operators iteration, matrix methods and fractional calculus (JmsNxn's when not applied directly to HOs, Woon's stuff, Gotfried's matrices stuff);

To summarize: everything that talks about ranks, and has variables concerning ranks (going up or down) should be in this section.


I hope this will make easier for tetrations-only folks to browse threads, and makes ranks-lovers, like me, to find everything they need in one place.
No need to add that a section like the one will be the richest thematic resource on the whole internet.
If this idea will be accepted I can help sorting the threads.

Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)

\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
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Messages In This Thread
[Poll] Add a new subsection to the forum - by MphLee - 05/06/2022, 01:39 PM

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