The stopping time of a one-dimensional bounded classical random walk (RW) is defined as the number of steps taken by a random walker to arrive at a fixed boundary for the first time. A quantum walk (QW) is a non-trivial generalization of RW, and has attracted a great deal of interest from researchers working in quantum physics and quantum information. In this paper, we develop a method to calculate the stopping time for a one-dimensional QW. Using our method, we further compare the properties of stopping time for QW and RW. We find that the mean value of the stopping time is the same for both of these problems. However, for short times, the probability for a walker performing a QW to arrive at the boundary is larger than that for a RW. This means that, although the mean stopping time of a quantum and classical walker are the same, the quantum walker has a greater probability of arriving at the boundary earlier than the classical walker.
with the improvement of computer science and technology, modern fashion design has become the product of the combination of designers, computer application and art design. 3D CAD design based on virtual technology has become a technical means and is widely used in the field of fashion. This paper mainly studies how to apply virtual technology to 3D CAD Hanfu design. Starting from the principle of garment CAD, this topic first introduces the function and application method of 3D virtual design LookStailor X, the establishment of 3D human model, the establishment of garment model, style line drawing, the conversion from 3D garment piece to 2D garment piece, etc. Then, the virtual design of Hanfu is carried out through parametric 3D human modeling, 3D garment generation and physical simulation. Finally, through the actual research, this paper compares and analyzes the clothing under the three modes, demonstrates the advantages of 3D virtual clothing design with specific research figures, and predicts the market prospect and economic contribution of 3D virtual clothing design.
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