From: "Keith F. Lynch" <kfl@KeithLynch.net> Date: 2/6/20, 11:06 PM

For those not familiar with the concept, the xth power mean of a and b is defined as (a^x + b^x)/2 = m^x. Common examples include:

-1: Harmonic mean

Kewl, now I think I can average two resistors.

0: Geometric mean

I got as far as wondering whether this was something like what happens when integrating x^(-1)... instead of getting (x^0) / 0, and then went to wikipedia... which treats it like a convention:

(See/p/-norm <https://en.wikipedia.org/wiki/Norm_%28mathematics%29#p-norm>). For/p/= 0we set it equal to the geometric mean (which is the limit of means with exponents approaching zero)...

Do these means change smoothly as x crosses zero? This all strikes me as like giving someone honorary citizenship. --Steve