A method for determining split times in a relay race run using one or more lanes of a running track, where a relay team in each lane carries a respective relay baton, includes, for each lane: (a) periodically determining a location of the respective relay baton, (b) determining, for one or more take-over zones in the lane, respective first times when the relay baton crosses a respective line within the take-over zone, (c) determining a second time when a finish line of the relay race is reached, and (d) determining a split time for each segment of the relay race, based upon a start time of the relay race, the one or more first times, and the second time.

This invention relates to indicating devices, such as time-temperature indicators based on lateral diffusion of a vapor of a solid and/or liquid mobile phase (e.g., a sublimeable dye or an activator) through a non-porous stationary phase, such as a thin layer of a polymeric material. The lateral diffusion of the mobile phase creates a noticeable boundary in the stationary phase whose movement depends upon processes, such as time and temperature.

This invention relates to indicating devices, such as time-temperature indicators based on lateral diffusion of a vapor of a solid and/or liquid mobile phase (e.g., a sublimeable dye or an activator) through a non-porous stationary phase, such as a thin layer of a polymeric material. The lateral diffusion of the mobile phase creates a noticeable boundary in the stationary phase whose movement depends upon processes, such as time and temperature.

A method for determining split-times in a relay race run using one or more lanes of a running track, where a relay team in each lane carries a respective relay baton, includes, for each lane: (a) periodically determining a location of the respective relay baton, (b) determining, for one or more take-over zones in the lane, respective first times when the relay baton crosses a respective line within the take-over zone, (c) determining a second time when a finish line of the relay race is reached, and (d) determining a split-time for each segment of the relay race, based upon a start time of the relay race, the one or more first times, and the second time.

A method for determining split-times in a relay race run using one or more lanes of a running track, where a relay team in each lane carries a respective relay baton, includes, for each lane: (a) periodically determining a location of the respective relay baton, (b) determining, for one or more take-over zones in the lane, respective first times when the relay baton crosses a respective line within the take-over zone, (c) determining a second time when a finish line of the relay race is reached, and (d) determining a split-time for each segment of the relay race, based upon a start time of the relay race, the one or more first times, and the second time.

A method is provided for rebalancing vehicle collection/return stations, the method including the following steps: for each station, determining: a number of vehicles available at the station; an average waiting time at the station, and filtering the stations as a function of the parameters, the filtering providing: a first list, the departure station list, and a second list, the arrival station list, designing at least one vehicle movement operation as a function of the lists, and carrying out at least one vehicle movement operation.

A method is provided for rebalancing vehicle collection/return stations, the method including the following steps: for each station, determining: a number of vehicles available at the station; an average waiting time at the station, and filtering the stations as a function of the parameters, the filtering providing: a first list, the departure station list, and a second list, the arrival station list, designing at least one vehicle movement operation as a function of the lists, and carrying out at least one vehicle movement operation.

A system includes a processor configured to receive a navigation route. The processor is further configured to identify a toll instance on the navigation route. The processor is additionally configured to display the toll instance with a preferred payment method on a display. Also, the processor is configured to detect when a vehicle travels past a point where a toll is due for the toll instance and wirelessly instruct payment of the toll using the preferred payment method.

A method and wireless sensor device for determining a time period a person is in bed. In one aspect, a method includes utilizing a wireless sensor device to obtain a plurality of acceleration samples in relation to at least one axis associated with a person's body over a predetermined time window. The method also includes calculating a polar angle for each acceleration sample within the predetermined time window. The method also includes calculating a fraction of an amount of time within the predetermined time window that the polar angle is greater than an angle threshold that indicates that the person is lying down, where if the fraction is greater than a predetermined threshold, the predetermined time window is marked as a period the person is lying down.

A method and wireless sensor device for determining a time period a person is in bed. In one aspect, a method includes utilizing a wireless sensor device to obtain a plurality of acceleration samples in relation to at least one axis associated with a person's body over a predetermined time window. The method also includes calculating a polar angle for each acceleration sample within the predetermined time window. The method also includes calculating a fraction of an amount of time within the predetermined time window that the polar angle is greater than an angle threshold that indicates that the person is lying down, where if the fraction is greater than a predetermined threshold, the predetermined time window is marked as a period the person is lying down.