Categories of Tetration and Iteration
#11
Hi, Andrew!

Thank you for your clear and systematic comments. Indeed, my suggestins concerning points 2 and 5 (partial box notation and symbolic representation of the super-root) was strongly ... inspired by MathType. Their available logotypes are extremely clear.

Unfortunately, I am still ... swimming with a lot of problems in TeX, which at the moment sems to be indispensable for publications. But, I understand your concern. Let me think about. I am a little bit ... sloooow, but ... reliable. For level s=4 (tetra) we need immediately understandable logotypes, just for avoiding long and painful interpretations.

Thank you also for your "Tetration in Context".

G. F. Romerio (Gianfranco)
#12
I have been playing around with different notations and I think I found a way to simulate your "partial box" notation in TeX. Here are some examples:

For hyper-logarithms:
\(
\text{hy}n\text{log}_b(z) =
{}^n_b\begin{tabular}{|c}
z \\ \hline \end{tabular}
\)
Source:
\text{hy}n\text{log}_b(z) =
{}^n_b\begin{tabular}{|c}
z \\ \hline \end{tabular}


For hyper-roots:
\(
\text{hy}n\text{rt}_a(z) =
{}^a_n\begin{tabular}{|c}
\hline \\ z \end{tabular}
\)
Source:
\text{hy}n\text{rt}_a(z) =
{}^a_n\begin{tabular}{|c}
\hline \\ z \end{tabular}

Andrew Robbins
#13
Great! I think the logotypes so obtained are extremely compact and clear. Thank you for the suggestions. Neverteheless, I still need some "brain trainig" for using TeX.

GFR
#14
MOVED

MSE MphLee
Mother Law \((\sigma+1)0=\sigma (\sigma+1)\)
S Law \(\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)\)


Possibly Related Threads…
Thread Author Replies Views Last Post
  What are the types of complex iteration and tetration? Daniel 5 2,223 08/17/2022, 02:40 AM
Last Post: JmsNxn
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 17 36,397 06/11/2022, 12:24 PM
Last Post: tommy1729
  Composition, bullet notation and the general role of categories MphLee 8 7,286 05/19/2021, 12:25 AM
Last Post: MphLee
  Complaining about MSE ; attitude against tetration and iteration series ! tommy1729 0 4,331 12/26/2016, 03:01 AM
Last Post: tommy1729
  Iteration series: Different fixpoints and iteration series (of an example polynomial) Gottfried 0 5,661 09/04/2011, 05:59 AM
Last Post: Gottfried
  [Regular tetration] [Iteration series] norming fixpoint-dependencies Gottfried 11 29,517 08/31/2010, 11:55 PM
Last Post: tommy1729
  question about regular iteration, also about tetration properties in general Base-Acid Tetration 6 18,069 05/10/2009, 09:32 AM
Last Post: bo198214
  Tetration: Progress in fractional iteration? Gottfried 0 4,676 08/13/2008, 06:53 PM
Last Post: Gottfried
  U-tetration or "decremented exponential iteration" Gottfried 5 14,416 01/09/2008, 02:14 AM
Last Post: andydude



Users browsing this thread: 1 Guest(s)