The Closest and Farthest Points to an Affine Ellipse or Ellipsoid

Affine ellipses/ellipsoids based bounding volumes are widely used in various graphics applications,such as ray tracing and collision detection.They provide a much tighter fit than the regular ellipses/ellipsoids.The most important operation involved is to compute the closest/farthest point,on a given ellipse/ellipsoid,with respect to a user specified point.In this paper,we first formulate such a problem for the ellipse case into solving a quartic equation and then for the ellipsoid case by solving a system of quartic equations.The method proposed in this paper is elegant and highly efficient.     

硬轴连接的多台直流电动机拖动系统

本文对多台直流电动机（他励）硬轴联接时的负荷平衡问题进行了研究，并给出了双电机拖动的负荷平衡调节的方案。     

基础防水混凝土冬期负温施工

以鞍钢三烧改造工程中的带冷机基础混凝土的施工为例，讨论要求达到Ｓ８抗渗标号的冬期负温施工问题。分析此种混凝土的防冻机理，采取综合技术措施可获得预期效果。     

一种卷扬机自动定位停车控制装置的设计

分析了当前建筑工地广泛使用的建筑物料提升卷杨机人工控制定位的缺陷，设计出一种新颖的，结构简单的，实用可靠的自动定位停车控制装置。     

基于多级模糊法的高速公路隧道安全性评价（新修改）

根据某高速公路隧道的全面检测结果,尝试借助数学中的多级模糊综合评价方法,通过建立隧道结构构件安全状况与隧道整体结果评价之间的线性代换关系,对高速公路隧道安全性进行评价,工程应用实践表明,该评价方法以量化的形式给出评价结果,基本能客观反映隧道安全现状,可供同类工程项目借鉴参考.     

变分不等式的修正松弛混合最速下降法

本文主要研究具有K—Lipschtz和η强单调性质的经典变分不等式问题，通过几个基本性质和Hilbert空间的性质给出了一类松弛混合最速下降算法，并且证明了该算法的强收敛性。     

一类二阶线性方程的合成解法

给出一类二阶线性方程的求解公式和解的渐近展开式.     

Characterization of Titanium-Containing Compounds in Gray Iron

Titanium produces different compounds in gray iron. In order to determine their characteristics, a scanning electron microscope, an energy dispersive X-ray spectroscopy, and an optical microscopy were used to analyze the morphology, distribution, and composition of titanium-containing compounds in metal- Iographic specimens and machined surfaces in four gray irons. The results show that the titanium-containing compounds in the gray irons are complex compounds containing V, Nb, Mn, S, and other metals, depending on the concentration of these elements in the iron. The number of titanium-containing compounds increases with increasing Ti content in the gray iron. Most of the titanium-containing compounds are located in the pearlite matrix, with some in the steadite and carbides. The results suggest that titanium-containing compounds reduce tool lifetime.     

化学反应设计成可逆电池方法探讨

提出了各类可逆电极反应通式和电极图式，并针对不同化学反应，研讨了如何准确快捷地将指定化学反应设计成可逆电池．