Minority Report (film) attained despite "very fast cutting" in the beginning and ending, because the middle has longer takes, which reach 20 seconds in some instances. Spielberg also continues his tradition of "heavily diffused backlighting" for much in the interior shots. Spielberg typically keeps the plot points of his films closely guarded before their release, and "Minority Report" was no different. He said he had to remove some scenes, and a few "F-words" to get the film's PG-13 rating. Following the disappointing box office results of Spielberg's "A.I.", the marketing campaign for "Minority Report" downplayed his role in the movie and sold the
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