Content-Type: text/shitpost


Subject: Triangle inequality
Path: you​!your-host​!wintermute​!wikipedia​!twirlip​!am​!plovergw​!plover​!shitpost​!mjd
Date: 2019-08-22T17:00:56
Newsgroup: sci.math.triangle-inequality
Message-ID: <73f5e47da2297a5e@shitpost.plover.com>
Content-Type: text/shitpost

I've assumed for a long time that fares on rapit transit systems like the subway ot the BART should obey the triangle inequality: going from A to C directly shouldn't cost more than going from A to B, leaving the system, and then coming back in to go from B to C.

But now I wonder why I ever thought this. A short, direct route is a valuable thing, and a passenger might be willing to pay a premium for it.

Or to make the difference even clearer, suppose, that the route from A to C via B uses an old, grungy, low-speed service, and the direct route is fast and clean. You might be willing to pay more for the direct route.