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 While the definition of a directed set is for an "upward-directed" set (every pair of elements has an upper bound), it is also possible to define a downward-directed set in which every pair of elements has a common lower bound. A subset of a poset is downward-directed if and only if its upper closure is a filter. Directed subsets are used in domain theory, which studies directed complete partial orders. These are posets in which every upward-directed set is required to have a least upper bound. In this context, directed subsets again provide a generalization of convergent sequences. Directed set