A NUMERICAL EMBEDDING METHOD FOR SOLVING THE NONLINEAR COMPLEMENTARITY PROBLEM(Ⅱ)-ALGORITHM AND ITS CONVERGENCE

In this paper,based on the results presented in part Ⅰ of this paper[18],we present a numerical embedding algorithm for solving the nonlinear complementarityproblem, and prove its convergence carefully. Numerical experiments show that thealgorithm is successful.     

二阶线性微分方程的解法改进

本改进了二阶线性微分方程的朗期基解法，只要求出转化以后的一阶微分方程或二阶齐次线性微分方程的一个特解，即可求出二阶线性微分方程的通解。     

Hyperfine investigations of the magnetic state in ordered Pt3−xFe1+x

Mössbauer effect studies of Pt_3−xFe_1+x fcc ordered alloys in the range 4.2 K <T<300 K, in zero and in external magnetic field, for samples with x = 0.16 to 0.28, are reported. The low-temperature spectra show several satellite lines which are related to different excess-Fe nearest-neighbor configurations. Experiments in external fields give information on the different local spin structure at different concentrations.     

Underbody and ground effects on rotating disc flow: a global scale inviscid study

The flow induced by a finite disc rotating near horizontal ground is considered, including the effects of an underbody. This paper concentrates on determining the shape of the free layer beyond the rim of the disc which is horizontal in the absence of the underbody and ground but forced to deform to ensure that conditions across the layer are satisfied when the underbody or ground is added. The far-field behaviour, the inviscid flow produced by a nominally infinite disc near the ground and the global solution for small ground clearances are considered analytically, and the full problem is posed as an integral problem. This is then solved numerically and analytically. Results are presented for various heights of the disc above the ground and for discs with an axisymmetric underbody present. A universal form is found for the farfield shape (which is controlled by entrainment into the free layer) but both the underbody and the ground effects are found to increase very significantly for reduced clearances.     

用定义求解高等数学中的有关问题

应用导数的定义，为分段函数的分界点提供了一种行之有效的求导方法，利用微分的定义判断函数在分界点及其他特殊点的可微性，运用定和分的定义求一类特殊类型的极限．     

"全反射"与课堂教学素质化

素质教育的主阵地是课堂教学.如何切实做到物理教学素质化呢?下面结合“全反射”的教学,谈几点看法和做法.1 课堂教学目标构建的多元性 课堂教学强调目标构建的多元性,以完成教学多方位的艰巨任务,这是素质教育的重要教学特征之一.因而在制定具体的物理教学目标时,既要有知识、技能方面的要求,     

Effect of track stiffness on vibration levels in railway tunnels

The paper discusses the difficulties in comparing and drawing conclusions from vibration measurements made in different railway tunnels. A number of new measurements are presented, which have been made and analyzed on a consistent basis. The track stiffness has been determined for each of the measurements. Graphs are presented which indicate the level of rail and tunnel floor vibration likely to occur for different track stiffnesses. The variance in the measurement results also indicates the potential error in using the data to predict vibration levels in new situations.     

A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics

Curvature collineations are symmetry directions for the Riemann tensor, as isometries are for the metric tensor and Ricci collineations are for the Ricci tensor. Complete listings of many metrics possessing some minimal symmetry have been given for a number of symmetry groups for the latter two symmetries. It is shown that a claimed complete listing of cylindrically symmetric static metrics by their curvature collineations [1] was actually incomplete and is completed here. It turns out that in this complete list, unlike the previous claim, there are curvature collineations that are distinct from the set of isometries and of Ricci collineations. The physical interpretation of some of the metrics obtained is given.     

Newtonian Dynamical Systems Admitting Normal Blow-Up of Points

A construction of normal shift along trajectories of a Newtonian dynamical system in the case of an extremely singular initial hypersurface collapsing to a single point is considered. A new class of Newtonian dynamical systems is introduced: systems admitting normal blow-up of points. The class is described in terms of differential equations of normality. Bibliography: 20 titles.