08/05/2009, 08:16 AM
(This post was last modified: 08/05/2009, 08:19 AM by Kouznetsov.)
(08/04/2009, 09:17 PM)sheldonison Wrote: ...Super-logarithm and slog should be recognized synonyms of the inverse super-exponential function (or tetra-logarithm). The only other thing super-logarithm could possibly refer to would be the super-exponential function, mirrored along the imaginary axis so that the \( +\infty \) and the \( -\infty \) are swapped, and that isn't a terribly interesting notation.Super-logarithm and slog are very confusive terms. I suggest to use "arctetration" and "ate" instead. Better to keep term "Super-logarithm" for the superfunction of logarithm. I have not yet plotted such a function, but it is doable. Also, one can make SuperCos, SuperTetrational, and so on. While, we have the ArcFactorial and SuperFactorial http://www.ils.uec.ac.jp/~dima/PAPERS/2009supefae.pdf
If anybody wants to suggest some better terminology, now is good moment.
P.S. If you have some Ficial, we can make a SuperFicial for it.
But do not tell economists about our achievements: they deal with Inflation...