08/05/2009, 05:51 PM

(08/05/2009, 08:16 AM)Kouznetsov Wrote: Super-logarithm and slog are very confusive terms. I suggest to use "arctetration" and "ate" instead.Hear, hear! And may I suggest, while we're at it, that we do away with the term "logarithm" altogether. How are we supposed to remember that it's the inverse of exponentiation? Better to call it arcexponentiation, for consistency. Indeed, division and subtraction should likewise be arcmultiplication and arcaddition. Let's get all these confusing terms out of the mathematical glossary and be done with it!

On a sidenote, I've never really minded switching freely between the terms "tetration" and "super-exponentiation", yet for some reason the term "super-logarithm" (or simply "s-log" or "slog") seems stuck in my vocabulary, and the next closest term that comes to mind is "the inverse of the super-exponential function" or something similarly descriptive, but lacking brevity.

So "superlogarithm" it shall remain. You will have to pry it from my cold dead hands!

Or try to come up with something a little more natural (pun intended) than arc-super-exponentiation or arc-tetration. Sorry, as a native english speaker and amateur mathemetician (because the professionals don't count ), the "arc"s just aren't cutting it. But maybe it will grow on me over time... I suppose part of the problem is that I've never really preferred the "arc-" prefixes for the trigonometric functions (much less for non-trigonometric functions!), even though they have their benefits when, e.g., the notation is ambiguous (multiplicative or functional inverse?).

Then again, what does the "arc" really mean? In the context of trigonometry, which was founded on the study of actual "arcs" among other things, I never really put much thought into it. Oddly, wikipedia and several online dictionaries fail to make any etymological note whatsoever on the use of "arc".

~ Jay Daniel Fox