Abstract: In one aspect, a method is provided of effecting secure communications for a movable barrier operator and a trainable transmitter. The method includes, at the movable barrier operator, transmitting to a remote control a first radio frequency communication via a first communication protocol wherein the first radio frequency communication includes an access code. The method further includes receiving from the trainable transmitter a second radio frequency communication via a second communication protocol. The second radio frequency communication includes a derived access code based at least in part upon the access code. The method further includes learning the trainable transmitter in response to the derived access code corresponding to the access code.

Abstract: A system for three-dimensional printing is disclosed. The system comprises: a rotary tray configured to rotate about a vertical axis; a printing head, each having a plurality of separated nozzles; and a controller configured for controlling the inkjet printing head to dispense, during the rotation, droplets of building material in layers, such as to print a three-dimensional object on the tray.

Abstract: A disposable catridge for use with an electrostatic charging device. The disposable cartridge can have a reservoir configured to contain a supply of product suitable for electrostatic spraying, a nozzle configured and disposed to disperse the electrostatically charged product, and an electrode disposed to electrostatically charge the product prior to its dispersal. The disposable cartridge can also have an insulator for insulating the supply of product from electrostatic charge.