Minority Report (film) was envisioned in 1999. Underkoffler, who designed most of Anderton's interface after Spielberg told him to make it "like conducting an orchestra", said "it would be hard to identify anything [in the movie] that had no grounding in reality." McDowell teamed up with architect Greg Lynn to work on some of the technical aspects of the production design. Lynn praised his work, saying that "[a] lot of those things Alex cooked up for "Minority Report", like the 3-D screens, have become real." Spielberg described his ideas for the film's technology to Roger Ebert before the movie's release: "Minority Report" was
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