Technologies in Minority Report autonomously; in one scene the police remotely override the vehicle in order to bring him into custody. Spielberg commissioned Lexus to design a car specifically for Minority Report, resulting in the Lexus 2054, a fuel-cell powered autonomous vehicle which is seen being built in an automated factory in the film. Autonomous, or self-driving cars have been in development since 1984. As Artificial Intelligence and ground-sensing technologies like LIDAR began to improve in the 2000's, major automotive manufacturers such as Ford, Nissan and General Motors began developing self-driving prototypes. Google began developing a self-driving vehicle prototype, named Waymo in 2009 while
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