Minority Report (film) alone and with Tom Cruise; together they conferred publicly with Ron Howard and Russell Crowe via a similar webcam on the set of "A Beautiful Mind" in New York. The location of the small, uncharted island in the last shot of the film is Butter Island off North Haven, Maine in the Penobscot Bay. Although it takes place in an imagined future world of advanced technology, "Minority Report" attempts to embody a more "realistic" depiction of the future. Spielberg decided that to be more credible, the setting had to keep both elements of the present and ones which specialists expected
Directed set this article) assume that a directed set is directed upward, unless otherwise stated. Beware that other authors call a set directed if and only if it is directed both upward and downward. Directed sets are a generalization of nonempty totally ordered sets. That is, all totally ordered sets are directed sets (contrast "partially" ordered sets, which need not be directed). Join semilattices (which are partially ordered sets) are directed sets as well, but not conversely. Likewise, lattices are directed sets both upward and downward. In topology, directed sets are used to define nets, which generalize sequences and unite the various