Abstract: Various implementations disclosed herein facilitate interactions with a user interface in 3D environment in which a user interface element is moved based on a user movement in a way that the user interface element appears to lag behind or follow a portion of the user (e.g., the user's fingertip). The user interface element may be moved in a way that it converges with and thus catches up to the portion of the user. Such convergence may be based on the speed of the movement of the portion of the user. No convergence may occur when the portion of the user is not moving or is moving below a threshold speed. When the portion of the user is moving (e.g., above a threshold speed), the user interface component may converge with the portion of the user and the rate of convergence may be increased with faster speeds.

Abstract: In some embodiments, a computer system facilitates user input for displaying a selection refinement user interface object in an object within a three-dimensional environment, wherein the selection refinement user interface object indicates a location in the object at which the computer system performs a selection operation in response to further user input. In some embodiments, a computer system facilitates user input for activating a selection refinement mode in the three-dimensional environment during which an interaction point for a selection operation is movable based on movement of a hand of the user of the computer system.

Abstract: An all digital switching amplifier wherein linearization of the power switch is accomplished solely by using three states. A small, fixed width, bi-state compensating carrier waveform is added to the leading or training edges of an oversampled main input pulse producing a compensated composite waveform. This compensating carrier linearizes output from a power switch by effecting common mode cancellation of switch time errors. Output pulse width combinations for the compensating carrier are obtained from a look-up table stored in memory. A correction mechanism is implemented to correct for harmonic distortion that is dependent on the modulation level or index and results from the compensating carrier modulation. The correction mechanism applies the inverse of the modulation induced distortion to the oversampled compensated composite input signal to null distortion products resulting from the modulation scheme used to apply the small carrier to linearize the performance of the tri-state power switch.

Abstract: A computer communication system including a comunication medium, a plurality of nodes coupled to the communication medium, and a transfer format selection means for selecting a format for the transfer of data between nodes. The system includes at least one default node and at least two supplemented nodes. Each node has a set of data transfer formats. A default format is included in the format set of each node. Each supplemented node has at least one supplemental format. Transfer format selection means in the form of circuitry and software provides for the selection of a data transfer format which is included in the source node format set and the destination node format set and is compatible with the communication medium. The source node includes a cache of node format sets. The source node searches for the destination node format set in the source node cache and selects a format which is common to the format sets of the source node and destination node.