乘法算子

We will study 〓-quantum groups and multiplicative unitary operators in this paper.

本文主要目的是研究〓量子群和乘法酉算子。

Wehave obtained two formulas to express thire relation in different view;at the same time,wegive an explicit description of multiplicative unitary operators corresponding to compactquantum group 〓 and 〓 on concrete Hilbert spaces.

我们首先在第四章讨论了紧量子群对应的乘法酉算子和紧量子群与离散群的交叉积对应乘法酉算子的关系，我们得到了在不同观点下的它们之间的关系式；同时给出了紧量子群〓对应的乘法酉算子和〓对应的乘法酉算子在具体的Hilbert空间上它们之间的表达式。

Digital image process technique is used in pantographic faults monitoring, and a new algorithm named window-edge tracking is proposed in this paper. Based on the binary image of edges which is detected by Canny operator, a window in proper size is set to track the discontinuous edges to estimate the position of the lost edges. With this method continuous edges will be obtained, and continuous and smooth edges will be got after least-squares curve-fitting.

中文摘要：将数字图像处理技术应用于受电弓故障监测，提出一种新型的窗口边缘跟踪算法，在采用Canny算子计算出边缘二值图的基础上，设置适当大小的窗口对初始不连续边缘进行遍历，估计断点处边缘点位置获得连续边缘，并采用最小二乘法拟和出连续平滑的曲线函数。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。