Abstract: A beam delivery system is provided that includes a beam delivery photonic integrated circuit. The beam delivery photonic integrated circuit includes one or more optical inputs; a plurality of waveguide outputs; and a plurality of beam paths. Each beam path connects one of the plurality of waveguide outputs to at least one of the optical inputs. The plurality of waveguide outputs are configured to emit a plurality of parallel beams. The beam delivery photonic integrated circuit is on a chip. The beam delivery system further includes a telecentric optical relay assembly. The telecentric optical relay assembly is configured to receive the plurality of parallel beams provided by the waveguide outputs and focus each received beam on a corresponding one of a plurality of positions of an atomic object confinement apparatus in a telecentric manner.

Abstract: Apparatus and methods for presentation of key frames. In one embodiment, an encoded video file is generated where one or more bits are assigned to key frames and minimizes the number of bits assigned to delta frames. Each key frame may be presented to a user during trick mode operation (e.g., fast forward, rewind, pause, or random seek operation). When the encoded video file is given to a packager, the packager generates a manifest file listing the byte information (byte offset and number of bytes) for each key frame in the encoded video file. When a user inputs a trick play mode command, the packager provides the manifest file to the client device of the user and the client device requests the bytes for the key frames of the video file from the content delivery network.

Abstract: Apparatus and methods for presentation of key frames. In one embodiment, an encoded video file is generated where one or more bits are assigned to key frames and minimizes the number of bits assigned to delta frames. Each key frame may be presented to a user during trick mode operation (e.g., fast forward, rewind, pause, or random seek operation). When the encoded video file is given to a packager, the packager generates a manifest file listing the byte information (byte offset and number of bytes) for each key frame in the encoded video file. When a user inputs a trick play mode command, the packager provides the manifest file to the client device of the user and the client device requests the bytes for the key frames of the video file from the content delivery network.

Abstract: Apparatus and methods for presentation of key frames. In one embodiment, an encoded video file is generated where one or more bits are assigned to key frames and minimizes the number of bits assigned to delta frames. Each key frame may be presented to a user during trick mode operation (e.g., fast forward, rewind, pause, or random seek operation). When the encoded video file is given to a packager, the packager generates a manifest file listing the byte information (byte offset and number of bytes) for each key frame in the encoded video file. When a user inputs a trick play mode command, the packager provides the manifest file to the client device of the user and the client device requests the bytes for the key frames of the video file from the content delivery network.

Abstract: Apparatus and methods for presentation of key frames. In one embodiment, an encoded video file is generated where one or more bits are assigned to key frames and minimizes the number of bits assigned to delta frames. Each key frame may be presented to a user during trick mode operation (e.g., fast forward, rewind, pause, or random seek operation). When the encoded video file is given to a packager, the packager generates a manifest file listing the byte information (byte offset and number of bytes) for each key frame in the encoded video file. When a user inputs a trick play mode command, the packager provides the manifest file to the client device of the user and the client device requests the bytes for the key frames of the video file from the content delivery network.

Abstract: A computer-based abacus training system is provided. The system can include a simulated abacus display, means for outputting problems to be solved by a user, means for accepting input from the user, and means for checking the user's solution. Display can be of a simulated abacus, simulated hand movements, or both. Conversion between text-form and abacus-form representations can be included.

Abstract: Systems, methods and apparatus are described for testing a data connection provided over a power supply line. A testing apparatus is coupled to a socket of the power supply line. The AC power supply line communicatively couples the testing apparatus to a communication device or another testing apparatus. The testing apparatus identifies the signal strengths of signals received by the testing apparatus and identifies the signal strengths of signals received by the communication device. The testing apparatus outputs an indicator of the first signal strength and the second signal strength to a user and this information may be utilized to detect noise or other problems in the data connection provided over the AC power supply line.

Abstract: A computer-based abacus training system is provided. The system can include a simulated abacus display, means for outputting problems to be solved by a user, means for accepting input from the user, and means for checking the user's solution. Display can be of a simulated abacus, simulated hand movements, or both. Conversion between text-form and abacus-form representations can be included.

Abstract: Systems, methods and apparatus are described for testing a data connection provided over a power supply line. A testing apparatus is coupled to a socket of the power supply line. The AC power supply line communicatively couples the testing apparatus to a communication device or another testing apparatus. The testing apparatus identifies the signal strengths of signals received by the testing apparatus and identifies the signal strengths of signals received by the communication device. The testing apparatus outputs an indicator of the first signal strength and the second signal strength to a user and this information may be utilized to detect noise or other problems in the data connection provided over the AC power supply line.

Abstract: An indoor environmental balancing apparatus and method for a structure that includes a plenum, a plurality of openings disposed within the plenum and in communication with a plurality of indoor spaces, a fan in communication with the plenum and the plurality of openings, a plurality of sensors disposed within the plurality of indoor spaces and configured to measure an environmental parameter of the plurality of indoor spaces, and a controller configured to monitor the plurality of sensors and respond to a differential in the measured environmental parameter between two or more of the plurality of indoor spaces by operating the fan to move air between the plurality of indoor spaces to bring the differential into equilibrium.