Let us begin with definitions. Fix two points A and B in R. We shall always assume that A = (0, 0, 0) and B = (1, 0, 0) so, in particular, the line AB is the x-axis and the length of the interval [AB] is equal to 1. (We shall write [AB] for the closed interval between A and B, (AB) for the corresponding open interval, and AB for the line passing through A and B.) A rope is a non-singular C-smoo...

Background The mortality rate of horses undergoing general anaesthesia is high when compared to humans or small animal patients. One of the most critical periods during equine anaesthesia is recovery, as the horse attempts to regain a standing position. This study was performed in a private equine practice in Belgium that uses a purpose-designed one-man (head and tail) rope recovery system to a...

In this paper, we give a precise and workable definition of a quantum knot system, the states of which are called quantum knots. This definition can be viewed as a blueprint for the construction of an actual physical quantum system. Moreover, this definition of a quantum knot system is intended to represent the “quantum embodiment” of a closed knotted physical piece of rope. A quantum knot, as ...

• E The rope is tied around a cylindrical pole by dual 6 D.O.F direct drive manipulators. • E The manipulators confirm that the rope is grasped by both hands using the force sensor. • E A flexible object model and a CCD camera vision system are used to recognize the shape of the rope.

We present a tight-binding theory to analyze the motion of electrons between carbon nanotubes bundled into a carbon nanotube rope. The theory is developed starting from a description of propagating Bloch waves on ideal tubes, and the effects of intertube motion are treated perturbatively on this basis. Expressions for the interwall tunneling amplitudes between states on neighboring tubes are de...

Drum–Buffer–Rope is a theory of constraints production planning methodology that operates by developing a schedule for the system’s first bottleneck. The first bottleneck is the bottleneck with the highest utilization. In the theory of constraints, any job that is not processed at the first bottleneck is referred to as a free good. Free goods do not use capacity at the first bottleneck, so very...

As part of the ocean winch, traction winch mainly plays role attenuating load tension. It generally uses simple speed control. For ship-based collection and release system, complex sea conditions make cable tension constantly changes. The traditional control method will in too slack or tight. Meanwhile, it can result wrong rope, bite rope slippage, other phenomena. Eventually, is leading to dam...