Abstract: In some embodiments, a method comprises: receiving acceleration data from a motion sensor of a mobile device carried by a user, the acceleration data represented by a space curve in a three-dimensional (3D) acceleration space, the space curve indicative of a cyclical vertical displacement of the user's center of mass accompanied by a lateral left and right sway of the center of mass when the user is stepping; computing a tangent-normal-binormal (TNB) reference frame from the acceleration data, the TNB reference frame describing instantaneous geometric and kinematic properties of the space curve over time; and computing a direction of travel of the user based on an orientation of a unit binormal (B) vector of the TNB reference frame in the 3D acceleration space, and computing a speed of the user based on a linear regression model applied to the kinematic properties of the TNB reference frame.

Abstract: A bottle assembly includes: a pressurized bottle of fluid having an elongated body and a neck extending contiguously from the body to a top portion including an outwardly projecting annular flange; and a bottle severing mechanism including a bottle striker carried by the bottle and residing below the top portion. The bottle striker includes: a frame mounted to move relative to the bottle in response to an impact by a saber while remaining coupled to the bottle; and a striking edge extending from the frame and aligned with a lower surface of the annular flange of the bottle, such that movement of the frame relative to the bottle causes the striking edge to strike the lower surface of the annular flange to sever the top portion of the bottle from the body.

Abstract: A bottle assembly includes: a pressurized bottle of fluid having an elongated body and a neck extending contiguously from the body to a top portion including an outwardly projecting annular flange; and a bottle severing mechanism including a bottle striker carried by the bottle and residing below the top portion. The bottle striker includes: a frame mounted to move relative to the bottle in response to an impact by a saber while remaining coupled to the bottle; and a striking edge extending from the frame and aligned with a lower surface of the annular flange of the bottle, such that movement of the frame relative to the bottle causes the striking edge to strike the lower surface of the annular flange to sever the top portion of the bottle from the body.

Abstract: A bottle assembly includes: a pressurized bottle of fluid having an elongated body and a neck extending contiguously from the body to a top portion including an outwardly projecting annular flange; and a bottle severing mechanism including a bottle striker carried by the bottle and residing below the top portion. The bottle striker includes: a frame mounted to move relative to the bottle in response to an impact by a saber while remaining coupled to the bottle; and a striking edge extending from the frame and aligned with a lower surface of the annular flange of the bottle, such that movement of the frame relative to the bottle causes the striking edge to strike the lower surface of the annular flange to sever the top portion of the bottle from the body.

Abstract: A bottle assembly includes: a pressurized bottle of fluid having an elongated body and a neck extending contiguously from the body to a top portion including an outwardly projecting annular flange; and a bottle severing mechanism including a bottle striker carried by the bottle and residing below the top portion. The bottle striker includes: a frame mounted to move relative to the bottle in response to an impact by a saber while remaining coupled to the bottle; and a striking edge extending from the frame and aligned with a lower surface of the annular flange of the bottle, such that movement of the frame relative to the bottle causes the striking edge to strike the lower surface of the annular flange to sever the top portion of the bottle from the body.

Abstract: A ready-meal shipping container includes: a housing comprising a plurality of walls bounding an interior cavity and a food-tray-retention assembly. The food-tray-retention assembly includes a plurality of racks arranged in a stacked configuration within the interior cavity of the housing, and an elongated sleeve aligned with the racks.

Abstract: A rack for bottle sabering includes an elongated body defining an open compartment dimensioned to accommodate a pressurized bottle of fluid. The body partially encloses the bottle, leaving at least an underside of a neck and rim on one side of the bottle exposed for a sabering strike to sever the top of the bottle.