大非球面镜的郎奇检验灵敏度理论研究及仿真分析

为了研究等间距直线条光栅的周期及其他相关参数的变化对大非球面镜朗奇检验法的影响，提出了一种评估郎奇检验灵敏度大小的新方法。其检验灵敏度定义为一个光栅周期所能检测到的镜面偏差大小能力。在朗奇检验的几何原理基础上，利用光线追迹法讨论了镜面偏差与朗奇光栅周期之间的关系，并以此推导出检验灵敏度公式，计算了抛物面镜的朗奇检测灵敏度。分析结果表明，如果给定镜子的规格参数及检验光路，朗奇检验灵敏度分别随着光栅周期间隔和半通光口径的变大而减小。     

Simple and robust digital holography for high-resolution imaging

Based on the point spread function of holographic system,the lateral resolution of digital holographic imaging system without any pre-magnification is studied.The expression of resolution limitation of holographic imaging system is thus presented.We investigate the possibilities to improve the lateral resolution.The simple experimental setup with an off-axis arrangement is built.By using a U.S.Air Force(USAF)test target as microscopic object,the recorded holograms are reconstructed digitally based on the principle of Fresnel diffraction.The lateral resolution of 2.76 μm without any pre-magnification is demonstrated experimentally,which matches the theoretical prediction well.     

Geometric Conditions on the Type of Matter Determining the Flat Behavior of the Rotational Curves in Galaxies

In an arbitrary axisymmetric stationary spacetime, we determine the expression for the tangential velocity of test objects following a circular stable geodesic motion in the equatorial plane, as function of the metric coefficients. Next, we impose the condition, observed in large samples of disks galaxies, that the magnitude of such tangential velocity be radii independent in the dark matter dominated region, obtaining a constraint equation among the metric coefficients, and thus arriving to an iff (iff means: if and only if.) condition: The tangential velocity of test particles is radii independent iff the metric coefficients satisfied the mentioned constraint equation. Furthermore, for the static case, the constraint equation can be easily integrated, leaving the spacetime at the equatorial plane essentially with only one independent metric coefficient. With the geometry thus fixed, we compute the Einstein tensor and equate it to an arbitrary stress energy tensor, in order to determine the type of energy-matter which could produce such a geometry. Within an approximation, we deduce a constraint equation among the components of the stress energy tensor. We test in that constraint equation several well known types of matter, which have been proposed as dark matter candidates and are able to point for possible right ones. Finally, we also present the spherically symmetric static case and apply the mentioned procedure to perfect fluid stress energy tensor, recovering the Newtonian result as well as the one obtained in the axisymmetric case. We also present arguments on the need to use GR to study types of matter different than the dust one.     

BIT新型分散染料的合成及性能研究

以3-氨基-5-硝基2,1-苯并异噻唑(BIT) 为重氮组分,在适当的条件下,与单苯胺类及萘胺磺酸类衍生物偶联, 得到了从红到兰色的一系列分散染料. 这些染料均未见报导,并对其中部分染料进行了检测,证明各项性能优良,应用前景看好.     

QPECgen, a MATLAB Generator for Mathematical Programs with Quadratic Objectives and Affine Variational Inequality Constraints

We describe a technique for generating a special class, called QPEC, of mathematical programs with equilibrium constraints, MPEC. A QPEC is a quadratic MPEC, that is an optimization problem whose objective function is quadratic, first-level constraints are linear, and second-level (equilibrium) constraints are given by a parametric affine variational inequality or one of its specialisations. The generator, written in MATLAB, allows the user to control different properties of the QPEC and its solution. Options include the proportion of degenerate constraints in both the first and second level, ill-conditioning, convexity of the objective, monotonicity and symmetry of the second-level problem, and so on. We believe these properties may substantially effect efficiency of existing methods for MPEC, and illustrate this numerically by applying several methods to generator test problems. Documentation and relevant codes can be found by visiting http://www.ms.unimelb.edu.au/danny/qpecgendoc.html.     

自动实时激光全息无损检测系统

介绍一种自动激光全息无损检测系统。该系统由计算机控制自动曝光，并对全息干版进行自动冲洗和对测量数据进行处理，解决了一次曝光激光全息实时检测中全息干版无法精确复位的问题。计算机控制真空加载，缺陷大小及位置由计算机打印输出，一次最大测量面积为０５ｍ×１２ｍ，最小分辨缺陷尺寸为３ｍｍ。     

Ermittlung von Fließkurven in verschiedenen Ausführungsformen des Stauchversuches

Several modifications of the upsetting test at room temperature are discussed under the aspect of suppressing friction and other possible sources of error.In the upsetting test according to Rastegaev, friction is reduced, and the testpiece remains cylindrical up to high strains, however the specimen's height is determined with a large error. Therefore it is proposed to measure the increase of the specimen's diameter instead of the reduction of height.Upsetting under sticking friction conditions can formally be treated like upsetting with lubrication for calculating the stress-strain curve. However, the applicability and the limits of this method have not yet been studied sufficiently.In the plane-strain upsetting test, friction is not suppressed completely, but the error of height measurement propagates only weakly into the calculated stress-strain curve.

     

Nonparametric estimation of location parameter after a preliminary test on regression in the multivariate case

For a simple multivariate regression model, nonparametric estimation of the (vector of) intercept following a preliminary test on the regression vector is considered. Along with the asymptotic distribution of these estimators, their asymptotic bias and dispersion matrices are studied and allied efficiency results are presented.     

On the monotonicity of the power functions of tests based on traces of multivariate beta matrices

It is shown that for the MANOVA problem the power function of the test based on the trace of a multivariate beta matrix is monotonically increasing in each noncentrality parameter provided that the cutoff point is not too large. This result is also true for the problem of testing independence of two sets of variates.     

应用χ~2统计量分析保险数据

本文就乌鲁木齐市不同民族,不同职业的居民对保险产品的认同水平运用χ2统计量[1]及关系矩阵进行齐一性假设检验,并对结果进行分析,得出了合乎情理的结论。根据居民职业的不同我们可以将文卫科、企管、工人、农牧、服务业、其他职业归为一类,而"公务员"、"金融"、"个体"各为一类。不同民族的居民对保险的认同水平同样差异显著:回族、维族与其它民族的差异性很小;回族与汉族有差异不大;而维族与汉族之间差异最大。