Abstract: Apparatuses, systems, and techniques to perform collision-free motion generation (e.g., to operate a real-world or virtual robot). In at least one embodiment, at least a portion of the collision-free motion generation is performed in parallel.

Abstract: A fluid flow control valve comprising an outer casing with an inner valve member displaceable between first and second positions within the casing, the valve member including passages which interconnect different valve inlets and outlets dependent on whether the valve member is in its first or second position, the valve member being made from plastic material so that the diameter of the valve member can be increased without increasing its weight above that of a conventional metal inner valve member. This allows the passages through the inner valve member to be of the same internal diameter as the tubing leading up to and away from the valve. The valve member can be acted upon by a magnetic restoring means which tends to return the valve member towards its first position when displaced therefrom.

Abstract: A fluid flow control valve comprising an outer casing with an inner valve member displaceable between first and second positions within the casing, the valve member including passages which interconnect different valve inlets and outlets dependent on whether the valve member is in its first or second position, the valve member being made from plastic material so that the diameter of the valve member can be increased without increasing its weight above that of a conventional metal inner valve member. This allows the passages through the inner valve member to be of the same internal diameter as the tubing leading up to and away from the valve. The valve member can be acted upon by a magnetic restoring means which tends to return the valve member towards its first position when displaced therefrom.

Abstract: A mailbox insert structure positionable within a mailbox for aiding in the removal of mail from the mailbox, having a floor portion, a back wall portion, a pair of opposite side wall portions, generally open front and top portions, a finger engagement portion positioned near the front of the floor portion and which is engagable for pulling the insert structure outwardly through the mailbox door opening so that mail can be removed from the insert structure through the open front and top portions of the insert, retainers positioned proximate the rear portion of the insert structure. A forwardly extending portion of the floor portion extends forwardly from the side walls, and includes angled side portions which abut the edges of the mailbox door for directing the insert structure outwardly through the mailbox door.