Abstract: A multi-atomic object crystal is transported from a first leg to a second leg of an atomic object confinement apparatus through a corresponding junction. Voltage sources in electrical communication with electrodes of the apparatus are controlled to confine the crystal in the first leg. The voltage sources are controlled to cause transport of the crystal along the first leg to proximate the junction and then to cause generation of a time-dependent potential at the junction that is configured to cause the crystal to traverse a transport path through the junction from the first leg to the second leg via a dynamic potential well. An order of atomic objects within the multi-atomic object crystal is changed as the multi-atomic object crystal traverses the transport path.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: A multi-atomic object crystal is transported from a first leg to a second leg of an atomic object confinement apparatus through a corresponding junction. Voltage sources in electrical communication with electrodes of the apparatus are controlled to confine the crystal in the first leg. The voltage sources are controlled to cause transport of the crystal along the first leg to proximate the junction and then to cause generation of a time-dependent potential at the junction that is configured to cause the crystal to traverse a transport path through the junction from the first leg to the second leg via a dynamic potential well defining a particular variable axial frequency. The transport path is determined by combining a path of constant total confinement for a representative atomic object of the crystal and a path of radio frequency minimum for the representative atomic object, using a particular variable path ratio.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: Apparatus and methods for deployment of fixtures. The apparatus may include a system for controlling deployed fixtures. The system may receive user commands different devices in different formats. The fixtures may be independently addressable. The fixtures may be magnetically supported by a fixture support. A brace may join two or more fixture supports without reducing space available to support fixtures. The brace may join a fixture support to a fixture support accessory. An accessory may include a variable-angle junction. The fixture may include articulating joints for controlling the direction of a beam. The fixture may include a lens having an electrically controllable beam spread angle. The fixture may be stowable in the fixture support. The fixture may be slidable along a cord to adjust a height of the fixture. The fixture may include an extendable ring. The system may coordinate motions of the fixtures to follow a target. The fixture may include an elongated board.

Abstract: A method includes receiving a first indication of assent to a meeting from a first user device. The meeting includes a meeting time and location. The method further includes receiving a second indication of assent to the meeting from a second user device. The method further includes determining, based on first user device geo-coordinates and second user device geo-coordinates, a no show indicating that at least one of the first user device and the second user device is not within a threshold distance of the meeting location within the threshold time of the meeting time by comparing at least one of the first user device geo-coordinates and the second user device geo-coordinates to a meeting location geo-coordinates, and determining that at least one of the first user device geo-coordinates and the second user device geo-coordinates are not within the threshold distance of the meeting location geo-coordinates.