The “sportsification” of federal politics has made it so we treat elections like athletic rivalries, vilifying the other team at the expense of doing what's right for the country.
More generally, each compact subset of a Hausdorff space is closed. […] Metric spaces and compact Hausdorff spaces enjoy an even stronger separation property; in either case, disjoint closed sets can always be separated by disjoint open sets.
So ſtrictly is the Specific Nature preſerv'd in the Individuals of the ſame kind, vvho all equally partake of it, and are ſo very reſembling and uniform in it, that they ſeem but as ſo many Self-ſames, ſo many Reproductions of one thing, like the Image of the ſame Face repeated by a Multiplying Glaſs. Thus for Inſtance, in Men, there is the ſame common Human Nature in all of them vvithout Intenſion or Remiſſion, the ſame Intellectual Frame, the ſame thinking Principle, the ſame rational Faculties, the ſame Radical Deſires and Inclinations, the ſame Natural Affections, the ſame Springs of Paſſion, &c.
Lifetime ARPU, or the average revenue contributed per user over the lifetime of a product, can provide some insight into the habits of a large group of users within the product.