02/21/2008, 11:04 PM
bo198214 Wrote:Wah, I forgot to welcome my dear friend (hopefully he agrees with this designationYes, I agree with this designation.) quickfur - or sporadically also known as slowpaw - on this forum!

Anyway, with regards to the {n} hierarchy, you're right, a class of solutions is given by
It does have some interesting attributes, although probably only in very specialized fields. I've had somebody tell me once that they actually contemplated the same operations and found it useful in computer graphics: this class of operations can be used for image compositing where the order of composition doesn't matter, and the pixel value must remain within a specified range.
Another interesting observation (at least, interesting to me) is that the converse construction,