The many proofs of an identity on the norm of oblique projections

Given an oblique projector P on a Hilbert space, i.e., an operator satisfying P ²=P, which is neither null nor the identity, it holds that ||P|| = ||I –P||. This useful equality, while not widely-known, has been proven repeatedly in the literature. Many published proofs are reviewed, and simpler ones are presented.     

核动力装置模拟器就地系统中双机通讯的实现

利用微机软仿真实现模拟器就地系统中仪表的动态实时显示和开关的实时控制，可以节省的大量外部设备，提高系统可扩充性。本文介绍了该技术实现的方法，即服务器与客户机之间数据双向通讯的实现途径。经实践验证，本文的方法是正确、可行的。     

广义Sierpinski集

本文考察了包括平面上的各种广义 Cantor集 ,Sierpinski集和包括某些连续不可微曲线在内的广义 Sierpinski集 .由相似变换 ,导出了它们的级数表达式 ,并利用它和字符串空间的对应关系 ,计算出它们的Hausdorff维数     

中国传统服饰美学思想的特征

探讨中国服饰美学思想所涉及的“天人合一”、社会伦理道德以及等级方面的内容．运甩史料考证、逻辑推理及中外比较相结合的论证方法，表明中国传统服饰美学思想是具有鲜明的民族个性特征的，得出中国传统服饰美学思想所涵盖的社会化、自然化和多样化特征．     

Mathematical modelling of the oxidation of nickel titanium alloys

A one-dimensional bulk reaction model for the oxidation of nickeltitanium is formulated, with preferential oxidation of titaniumbeing included. The modelling is directed at the better understandingof the dominant mechanisms involved in the oxidation processand their significance for the biocompatibility of the alloy.Two different regimes for the relative diffusivities of oxygenand the metals are investigated. By assuming fast bulk reactions,different asymptotic structures emerge in different parameterregimes and the resulting models take the form of moving boundaryproblems. Different profiles of nickel concentration are obtained:in particular a nickel-rich layer (observed in practice) ispresent below the oxide/metal interface for the case when oxygenand the metals diffuse at comparable rates.     

英汉翻译中的文化透析

语言与文化有着密切的关系,任何语言都体现一定的文化特征,故文化因素对不同语言的翻译具有重要的影响。从中西文化的相似形和差异性,包括不同的生活方式、认知思维方式以及价值观等方面,对此问题进行深刻的分析和探讨,指出两种语言翻译中应注意的文化问题。     

对教考分离工作的思考

教考分离工作是高校考试工作改革的必然趋势。本文从实施教考分离的模式入手,阐述了教考分离模式、完善教考分离的措施、实效及教考分离存在的问题,对当前教考分离工作的实施具有一定的借鉴作用。     

几何相似体应力-应变分布相同时的载荷关系

为了保证几何相似模型与原件具有完全相同的应力-应变分布,必须对几何相似模型施加与实际构件成对应比例的各种载荷,因此需要寻求几何相似模型在应力-应变分布完全相同时各种外加载荷的比例关系。从相似理论入手,以2端固支的矩形梁下表面边线中点的应力解析表达式为基础进行推导,得出相应的理论载荷关系,并用算例在弹塑性状态下验证了所得关系的正确性。得到的结论是:对于2个几何相似构件,若几何相似系数为kl,则当外加集中载荷的载荷系数为kl、均布线载荷的载荷系数为kl、均布面载荷的载荷系数为1时,2构件的应力-应变分布完全相同。     

Minimum Distance Between the Faces of Two Convex Polyhedra: A Sufficient Condition

The problem of finding the Euclidean distance between two convex polyhedra can be reduced to the combinatorial optimization problem of finding the minimum distance between their faces. This paper presents a global optimality criterion for this problem. An algorithm (QLDPA) for the fast computation of the distance between convex and bounded polyhedra is proposed as an application of it. Computer experiments show its fast performance, especially when the total number of vertices is large.     

On the Zeros of Orthogonal Polynomials: The Elliptic Case

Constructive Approximation - Let E = [–1, α] \cup [β, 1], –1 &;lt; α &;lt; β &;lt; 1, and let (pn) be orthogonal on E with respect to the weight function...