关于Gauss－Seidel迭代法的一个收敛定理

本文给出了Ｇａｕｓｓ－Ｓｅｉｄｅｌ迭代收敛的两个充分条件，所给定理比目前常用的判据，应用范围广，且易于检验。     

有关透镜组合基点基面公式的讨论

本文以两个共轴透镜组成的光学系统为例,结合具体的光路图,推导出主点和节点的计算公式,其过程简单,物理意义清晰。     

A Multilevel CFA–MTMM Approach for Multisource Feedback Instruments: Presentation and Application of a New Statistical Model

Multisource feedback instruments are a widely used tool in human resource management. However, comprehensive validation studies remain scarce and there is a lack of statistical models that account appropriately for the complex data structure. Because both peers and subordinates are nested within the target but stem from different populations, the assumption of traditional multilevel structural equation models that the sample on a lower level stems from the same population is violated. We present a multilevel confirmatory factor analysis multitrait–multimethod (ML–CFA–MTMM) model that considers this peculiarity of multisource feedback instruments. The model is applied to 2 scales of the Benchmarks® instrument and it is demonstrated how measures of reliability and of convergent and discriminant validity can be obtained using multilevel structural equation modeling software. We discuss the results as well as some implications and guidelines for the use of the model.     

天球坐标系的难点解析

通过对天球坐标系的两个难点“认识天球坐标系”和“掌握天球坐标系间的联系”的分析，阐述降解难度的切入点和关键点，把抽象的、虚幻的天球坐标系变得具体、真实、便于接受和领会，以求达到学用结合的目的。     

关于闭折线k号心的两个面积定理

研究闭折线的k号心相关的面积问题,得到了几个新的结论.     

异面直线间距离公式的多种证明

从不同的角度、用不同的方法给出了异面直线间距离公式的证明。     

直角坐标平面内两点在该平面折叠后的距离

在直角坐标平面xoy内,对于两定点P1,P2及定直线l,将平面xoy沿直线l折成大小为θ的二面角,本文给出了折叠后P1,P2的距离公式.     

曲面面积的计算

从第一型曲面积分的概念入手,由一般到特殊,通过示例分析了空间曲面面积的基本计算方法．并将其与曲线积分、二重积分、一元定积分的几何意义衔接统一起来．     

3-D scattering of obliquely incident plane p waves by alluvial valley embedded in layered half-space

The indirect boundary element method(IBEM) was established to solve the problem of 3-D seismic responses of 2-D topographies,by calculating the free-field responses with the direct-stiffness method and simulating the scattering wave fields with the dynamic Green’s functions of moving distributed loads.The proposed method yields accurate results,because the 3-D dynamic stiffness matrixes used are exact and the fictitious moving distributed loads can be acted directly on the interface between the alluvial valley and the layered half-space without singularity.The comparison with the published methods verifies the validity of the proposed method.And the numerical analyses are performed to give some beneficial conclusions.The study shows that 3-D scattering by an alluvial valley is essentially different from the 2-D case,and that the presence of soil layer affects not only the amplitude value of surface displacements but also the distribution of surface displacements.     

从单叶双曲面直母线问题的研究谈研究性教学

研究了单叶双曲面u族和v族直母线存在的唯一性问题和与单叶双曲面交于直母线的平面方程,在此基础上阐述了基础课应以问题为载体进行研究性教学.