Pairwise order of a sequence of elements

In the very first post of this blog, I described a new measure of disorder which I called \(\mathit{Amp}\). I started its construction process by introducing what I dubbed the pairwise order of a sequence as follows: A few days ago I went back to one of the simplest possible tools in the domain: a three-way comparator for two values: \[\mathit{comp}(x, y)= \begin{cases} 1 & \text{ if } x \lt y\\…