Notations and Opinions

[Gottfried]

I must say, the slash notation is by far the most expressive tetration notation I've ever seen. It allows full expression of practically anything I can think of that is hyperop/tetration related. As you can see, it covers many topics that do not have a specialized notation yet.

Andrew Robbins

Yes, this looks nice - maybe because we are already a bit used to it.

However, the collection of slashes and symbols for iterated exponentiation (IE, T) and especially for decremented iterated exponentiation (DIE, U) still looks a bit obfuscating to me - again: perhaps this is a matter of usage and experience.

While resorting to "hgh()" as function giving the height of a powertower I should add, that another -even more- natural function occurs with the notation x {4,b} h=y, since x already has a height; "h" is here actually the height-difference of the towers x and y in terms of "bricks" or "stones"; so what in tetration is the superroot (and subequently the srt-function) may be here the stone- or brick-function "stn" or "brk", where the latter had even some resemblance to a notation of base using b... .

So until I'm getting used to some slash-notation for IE (T()) and DIE (U()) I should propose the "brk"-function indicating the value of the base, which is needed to get from x to y if h times iterated... (well, I've no use for it so far, but...)

Gottfried