In exemplary implementations of this invention, a basketball net or flat net measures the translational kinetic energy of a ball that passes through an aperture in the net or impacts the net. The net includes one or more electrically conductive cords, which have a resistance that varies depending on the degree to which the cord is stretched. From sensor measurements, a processor determines: (a) instantaneous rate of change of resistance, and (b) duration of a time period that begins when resistance exceeds a baseline (with hysteresis). In the case of a basketball net, a processor may calculate the translational kinetic energy of the ball as equal to a sum of two terms. The first term is inversely proportional to the square of the duration; the second is proportional to the square of the integral of the instantaneous rate of change of resistance over the time period.
Authors: Santiago Alfaro, Michael Bove, Jared Markowitz, Dan Novy
In exemplary implementations of this invention, a main content feed is displayed on a main screen. A user may select one or more auxiliary feeds of content to display simultaneously on a second screen. The second screen is located on a handheld device. The user makes the selection by changing the orientation of the handheld device relative to the main screen. For example, the user may select which auxiliary feed to display by pointing the device at different areas that are around the periphery of the main screen. The handheld device includes one or more sensors for gathering data, and one or more processors for (a) processing the sensor data to calculate the orientation of the handheld device relative to the main screen and (b) based at least in part on that orientation, selecting which of the auxiliary feeds to display.
Authors: Santiago Alfaro, Michael Bove, Vincent Lee