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 Directed set In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set "A" together with a reflexive and transitive binary relation ≤ (that is, a preorder), with the additional property that every pair of elements has an upper bound. In other words, for any "a" and "b" in "A" there must exist "c" in "A" with "a" ≤ "c" and "b" ≤ "c". The notion defined above is sometimes called an upward directed set. A downward directed set is defined analogously, meaning when every pair of elements is bounded below. Some authors (and