disjoint

The first bit is important: What people imagine a PhD is, and what a PhD actually is, are often disjoint.

The population and the government aren't disjoint sets.

There are structural reasons why Jewish culture has remained distinct in diaspora, while many other disjoint populations are absorbed by host populations over time.

Im an ambitious 19 year old, what should I do?This is an interesting question, in my experience: The sets of "most ambitious people I know" and "people who describe themselves as ambitious" seem to be entirely disjoint.

I just think it's wrong that it's always portrayed as delivering facts, when it must be closer to hastily jotting down a lot of disjoint words, phrases, and half-quotes, and then trying to reconstruct a plausible-sounding story from it later.

I decided that if I had to choose between one of these and the other, I'd probably end up going with OCaml: since there's only one major implementation, you won't run into the frustrating experience of trying to merge two disjoint but frustratingly similar ecosystems.

For a mathematician, the problem would be much more interesting if it began "consider a train of infinite length in n dimensions", laid out requirements for spacing of m different amenities contained in disjoint cars, and ended with theorems about optimal construction of minimum-sized tiles.