A note on statistical analysis of factor models of high dimension

Science China Mathematics - Linear factor models are familiar tools used in many fields. Several pioneering literatures established foundational theoretical results of the quasi-maximum likelihood...     

ICF靶丸装配误差检测

针对激光惯性约束聚变装置中靶丸装配误差检测困难、要求精度高的特点,研制了一套用于微靶装配参数检测的测量系统。提出了一种基于激光与CCD的复合式测量方法,建立了二者数据融合的数学模型,通过标定空间位置关系有效地把二者的测量数据融合到同一个坐标系中,从而实现了高精度三维测量。分两种情况讨论了靶丸装配误差的检测方法。实验结果验证了这两种方法的可行性,并比较了两种方法的测量精度,其极限测量误差均不超过3 m。     

Protection of Li metal anode by surface-coating of PVDF thin film to enhance the cycling performance of Li batteries

The PVDF thin film on the surface of the lithium metal can highly suppress the lithium dendrites.     

Singular stress field near interface edge in orthotropic/isotropic bi-materials

Based on the asymptotic fields near the singular points in two-dimensional isotropic and orthotropic elastic materials, the eigenequation as well as the displacement and singular stress fields near the interface edge, with an arbitrary wedge angle for the orthotropic material, in orthotropic/isotropic bi-materials are formulated explicitly. The advantages of the developed approach are that not only the eigenequation is directly given in a simple form, but also the eigenvector is no longer needed for the determination of the asymptotic fields near the interface edge. This approach differs from the known methods where the eigenequation is constantly expressed in terms of a determinant of matrix, and the eigenvector is required for the determination of the asymptotic fields. Therefore, the solution proposed in this paper is more convenient and effective for the analysis of the singular stresses near the interface edge in the orthotropic/isotropic bi-material. To demonstrate the validity of the presented formulae, an example is selected for the comparison of analytical and FEM results. According to the theoretical analyses, the influences of the wedge angle and material constant of the orthotropic material on the singular stresses near the interface edge are discovered clearly. The results obtained may give some references to certain engineering designs such as the structural repair or strengthening.     

激光CCD复合测量方法在ICF靶丸球度误差检测中的应用

 提出一种基于激光与CCD的复合式测量方法,结合二者的优势,通过测量同一标准球球心的位置标定出了二者光轴的位置关系,有效地把二者测量的数据融合到同一个坐标系中,从而实现高精度的3维测量。在对所测靶丸表面数据进行去噪处理后,采用拟牛顿法,以CCD所测惯性约束聚变(ICF)靶丸直径作为部分待求参数的初始值,可以有效避免该方法容易陷入局部最优化的缺陷。从而快速、准确地实现靶丸球度误差的测量。分别在两种测量模式下进行了实验,结果验证了该方法的有效性与鲁棒性。     

轴对称任意梯度圆筒的弹性动力学解

基于轴对称平面应变问题的运动方程及弹性梯度材料的应力和位移关系,通过将圆筒分层使材料性质离散为分段常数函数,同时在时域内应用有限差分格式,求得了材料性质沿径向梯度变化的圆筒弹性动力学解。本文解不仅适合任意梯度的弹性圆筒,而且容易满足多种形式的初始条件和边界条件。通过对材料性质沿径向为连续函数分布和分段函数分布的梯度圆筒数值分析,并与已有文献结果比较,得出本文解与已有文献的解吻合较好,验证了本文解的正确性和有效性。对材料性质为分段函数的三层组合圆筒分析发现,中间功能梯度层的指数分布因子对圆筒的径向位移和应力随时间变化都会产生显著影响。     

正交异性材料V型切口反对称变形下的尖端场

基于正交各向异性材料弹性平面问题的通解,导出了正交各向异性材料奇异点附近的位移场和奇异应力场的解析表达式,由此给出了反对称变形模态下V型切口尖端附近的位移场和奇异应力场的解析解,通过算例难证,解析解与有限元解吻合得非常好.研究结果表明,正交各向异性材料V型切口尖端附近的应力奇异性不仅与切口的张角有关,还与材料的弹性常数有关.     

Bi(OTf)3-Catalyzed Intramolecular Amination of Triazenylaryl Allylic Alcohols: A Stereoselective,High-Yield Synthesis of (E)-3-Alkenyl 2H-indazoles

An efficient Bi(OTf)₃-catalyzed synthesis of 3-alkenyl-2-pyrrolidine-2H-indazoles from triazenylaryl allylic alcohols via the intramolecular direct amination process is reported. Compared with the dodecyl benzenesulfonic acid (DBSA)-catalyzed method, the new method is more efficient and gives greater yields and functionality tolerance. Additionally, the 3-alkenyl-2-pyrrolidine-2H-indazoles can be transformed to a series of new products under different reaction conditions.     

Rotations of Periodic Strings and Short Superstrings

This paper presents two simple approximation algorithms for the shortest superstring problem with approximation ratios 2 ( ≈ 2.67) and( ≈ 2.596). The framework of our improved algorithms is similar to that of previous algorithms in the sense that they construct a superstring by computing some optimal cycle covers on the distance graph of the given strings and then break and merge the cycles to finally obtain a Hamiltonian path, but we make use of new bounds on the overlap between two strings. We prove that for each periodic semiinfinite string α = a₁a₂··· of periodq, there exists an integerk, such that forany(finite) stringsof periodpwhich isinequivalentto α, the overlap betweensand therotationα[k] = a_ka_{k + 1}··· is at mostp + q. Moreover, ifp ≤ q, then the overlap betweensand α[k] is not larger than (p + q). The bounds are tight. In the previous shortest superstring algorithmsp + qwas used as the standard (tight) bound on overlap between two strings with periodspandq.