Abstract: A system creates a dynamic stochastic network using data relating to events. The dynamic stochastic network includes super nodes, local nodes, and agents. Connections among the super nodes and local nodes include events that are related to the super nodes and the local nodes. Strengths of the connections between the super nodes and local nodes are a function of a number of events that are common to the super nodes and local nodes. The connections are made and broken as the agents interact over time. The strengths of the connections increase and decrease as a function of a change in the number of events that the super nodes and local nodes have in common. An instability metric is calculated for the dynamic stochastic network, and an emerging group threat behavior is detected based on a deviation from the instability metric.

Abstract: A system creates a dynamic stochastic network using data relating to events. The dynamic stochastic network includes super nodes, local nodes, and agents. Connections among the super nodes and local nodes include events that are related to the super nodes and the local nodes. Strengths of the connections between the super nodes and local nodes are a function of a number of events that are common to the super nodes and local nodes. The connections are made and broken as the agents interact over time. The strengths of the connections increase and decrease as a function of a change in the number of events that the super nodes and local nodes have in common. An instability metric is calculated for the dynamic stochastic network, and an emerging group threat behavior is detected based on a deviation from the instability metric.

Abstract: A bathtub system, including a tub with a bather access opening in one sidewall and a door mounted on that sidewall. In the closed position, the door is adjacent the access opening, and in the open position the door is substantially clear of the access opening. The system includes a gray water reservoir under the tub of approximately the capacity of the tub and which can be connected to a sewer system. A high capacity toroidal tub drain conducts water from the tub into the reservoir by gravity alone very quickly.

Abstract: A bathtub system, including a tub with a bather access opening in one sidewall and a door mounted on that sidewall. In the closed position, the door is adjacent the access opening, and in the open position the door is substantially clear of the access opening. The system includes a gray water reservoir under the tub of approximately the capacity of the tub and which can be connected to a sewer system. A high capacity toroidal tub drain conducts water from the tub into the reservoir by gravity alone very quickly.

Abstract: A bathtub system, including a tub with a bather access opening in one sidewall and a door mounted on that sidewall. In the closed position, the door is adjacent the access opening, and in the open position the door is substantially clear of the access opening. The system includes a gray water reservoir under the tub of approximately the capacity of the tub and which can be connected to a sewer system. A high capacity tub drain conducts water from the tub into the reservoir by gravity alone very quickly.

Abstract: A bathtub system, including a tub with a bather access opening in one sidewall and a door mounted on that sidewall. In the closed position, the door is adjacent the access opening, and in the open position the door is substantially clear of the access opening. The system includes a gray water reservoir under the tub of approximately the capacity of the tub and which can be connected to a sewer system. A high capacity tub drain conducts water from the tub into the reservoir by gravity alone very quickly.