Uniformness used in a sentence

Uniformness in a sentence as a noun

Like entropy, wouldn’t this lead to greater disparity in the short term but uniformness in the long run?

I hadn't used Emacs before, so it was all new, but I really relate to what you're saying about the uniformness of all the 'apps', that was the first thing I noticed.

I don't have much ideas about how to judge uniformness in an unbounded set of integers though but maybe something like: if first hand is less than the average of all previous numbers, I'd say "other number is higher", otherwise I'd say "other number is lower".