Abstract: A ball striking device, such as a golf club head, has a face with a striking surface configured for striking a ball and a channel extending across a portion of the sole. The channel may be recessed from adjacent surfaces of the sole and have a depth of recession from the adjacent surfaces of the sole. The channel may have a cross-sectional profile that is asymmetric with a front wall and a rear wall where the front wall is longer than the rear wall. The channel may also have a center thickness that is different than a thickness at the heel and toe sides.

Abstract: A ball striking device, such as a golf club head, has a face with a striking surface configured for striking a ball where the face has multiple thickness regions. The face has a center region, an upper region, a lower region, a toe region, and a heel region. The upper and lower regions have a ramped thickness extending from a center region to an upper and lower edge of the face. The heel and toe regions have a constant face thickness and have a thickness less than the other regions. Additionally, the club head body has a flange where the face is welded to the club head body. The flange has a thickness that is greater than the thickness of the heel and toe regions of the face.

Abstract: A method includes a first computer encoding input data into a sequence of two-dimensional barcodes, the first computer displaying an image of each of the two-dimensional barcodes on a display screen in sequential order, a second computer using an imaging device to capture each of the displayed images to obtain the sequence of two-dimensional barcodes, and the second computer decoding each of the two-dimensional barcodes to obtain the input data. Separately, a first computer may divide input data into a sequence of data segments, receiving a personal value from a second computer, and perform an iterated mathematical function that uses the personal value and the sequence of data segments to generate a sequence of parameter values. The first computer may then transmit the iterated function and the initial segment to the second computer through a first channel and transmit the parameter values to the second computer through a second channel.

Abstract: A computer program product includes a non-volatile computer readable medium and non-transitory program instructions embodied therein, the program instructions being configured to be executable by a processor to cause the processor to perform various operations. The operations may include obtaining first encoded data that encodes information of a first party, obtaining second encoded data that encodes information of a second party, performing a forward mashup algorithm on the first encoded data and second encoded data to form a third data set, and providing the third data set to the first party as a mashup two-dimensional barcode.

Abstract: An ultra-low field pre-pulse Magnetic Resonance Imaging (PMRI) system for a head includes RF coils defining a bore for head access, a pre-pulse coil outside the RF coils, and a coil assembly including a main magnetic field coil and gradient coils outside the pre-pulse coil. The PMRI system includes a first cylindrical shield concentric with the RF coils and made from conductive materials. The first cylindrical shield partially encloses the RF coils and inside the pre-pulse coil for shielding the RF coils from environmental electromagnetic disturbances.

Abstract: An ultra-low field pre-pulse Magnetic Resonance Imaging (PMRI) system for a head includes RF coils defining a bore for head access, a pre-pulse coil outside the RF coils, and a coil assembly including a main magnetic field coil and gradient coils outside the pre-pulse coil. The PMRI system includes a first cylindrical shield concentric with the RF coils and made from conductive materials. The first cylindrical shield partially encloses the RF coils and inside the pre-pulse coil for shielding the RF coils from environmental electromagnetic disturbances.