For each subproblem P (t, s ) we can, therefore, maintain a set of associated events such as the union or intersection of all events that occur in that subproblem.
Therefore, the derivation of collision probability depends on two rules: the addition rule which deals with the probability of union of more events; and the multiplication rule which deals with the probability of intersection of two events.
Other filmmakers are more interested in the intersection of international events with private lives.
No doubt such scenes are meant to humanize these historical personages and to underscore Mr. McCann's fascination with the intersection of public events and private lives.
Most homeowners default when there is "an intersection of two events: they don't have equity in their houses and they run into trouble," said Mr. Van Order, a former chief economist at Freddie Mac.
David Neumann is known as an ironic Everyman, but in "Restless Eye," at New York Live Arts (March 24-April 1), he turns his attention to digital technology and the intersection of everyday events and cosmic forces.
The novel, Ms. Faye's second, proceeds from the intersection of three defining events: a devastating fire downtown, the failure of the Irish potato crop and the formation of New York's copper-star-badged police force, which provides employment for, among others, her protagonist, a former bartender named Timothy Wilde.
Considering the issue of estimating small probabilities p, i.e. measuring a rare domain F="{x|g(x)>q} with respect to the distribution of a random vector X, Multilevel Splitting strategies (also called Subset Simulation) aim at writing F as an intersection of less rare events (nested subsets) such that their measures are conditionally easily computable.
Specifically, it records both flows of events and intersections of the flows, and the flows capture relations among the events explicitly in real time and allow tracking the events and analyzing event relation efficiently.
