加强p除环上自共轭矩阵的几个定理

本文将实对称矩阵和复Hermiitian环矩阵,以及更特殊的正定与半正定矩阵的一些较为深入的定理推广到加强p除上矩阵中来.     

Specular reflectance of cold-rolled aluminum surfaces

The specular reflectance of cold-rolled aluminum surface is studied using a fiber optic system. An approximation for the determination of surface roughness is presented.     

A simple four-node quadrilateral finite element for plates

A simple and accurate four-node quadrilateral finite element based on the Mindlin plate theory and Kirchhoff constraints is presented for general thin plate bending applications. The derivation of the element stiffness properties is straightforward, starting with a specified eight-node interpolation; usual discrete Kirchhoff (DK) constraints are employed to constrain out the four midside nodes of the element. The present resulting DK element passes patch tests with elements of arbitrary and even highly distorted mesh types. Numerical studies of the element convergence behaviours are undertaken for various plate bending problems so far investigated. It is indicated from comparative examples that fairly good convergence characteristics have been achieved.     

结构—饱和土壤相互作用的固结有限元分析

讨论了结构与饱和土壤相互作用的固结分析问题.对于结构利用多重子结构分析技术实现向饱和土交界面上的凝聚.从而建立了结构与饱和土壤相互作用的固结控制方程.文中给出了问题求解的一次性算法方案,采取压力主从关系的手段处理边界上的不排水条件.文末给出数值算例.本文工作为大型结构与土体相互作用固结分析研究工作的深入创造了条件.     

与某种拓广的Borsuk—UIam定理等价的几个命题

In this paper, we prove a generalized form of Borsuk-Ulam theorem: Generalized Borsuk-Ulam Theorem Let (X, T) be T-space, where X is a n-dimensional homology sphere over the group T₂ of integers mod 2, T is a topological transformation on X weth period 2 and hasn't any fixed points; f: X (?) Rⁿ is any con-tinuous map from X into n-euclidean space Rn then, there existe at least a pair (X, T(X)) of involution points of some x ∈ X mapping into one point, i.e. f(X) = f(T(X)). In addition, we show that it is equivalent to some propositions too.     

从数学解题看数学美

本论述了“教学好玩”(陈省身语)的五个方面；教学语言精确；教学发现(类比发现；归纳发现和直党发现)；教学解题思路；教学思想方法和数学应用都体现了教学关。     

完全二部图Ka,b的迭线图L^m（Ka，b）的谱特征

本证明了当(a，b)不属于{(1，8)，(2，4)，(3，6)，(4，4)，(2s^2-s，2s^2 s))时，L^m(Ka,b)以谱为特征，其中a≤b，s≥2．     

控温相变免疫分析测定雌酮

通过热引发聚合与氧化还原引发聚合，合成水凝胶，作为雌酮全抗原(E1— BSA)载体；以异硫氰基灾光素标记雌酮的单克隆抗体(McAb)作为示踪剂，建立了控温相变竞争免疫分析测定雌酮(EI)的方法并应用于分析血清样品。实验表明：以热引发聚合合成的水凝胶为载体的荧光免疫分析方法具有更高的灵敏度，它的线性范围为10-700μg/L，检出限为1μg／L(n=10，3倍空白)。经水凝胶性质的比较(包括LCST、非特异性吸附、抗原与抗体反应时间及固定化抗原活性)，证明了热引发聚合的水凝胶较氧化还原引发聚合的水凝胶更适合于作为免疫分析的载体。     

Tuning inventory policy parameters in a small chemical company

A project to improve inventory management in a small UK chemical company is described. A research group comprising university academics and company managers for logistics and information technology examined current practices and analysed a database of historical records of business operations of the company. Based on the analysis, a scheme to categorise stock and set ordering policies to optimise inventory costs was developed. Some comments are made on process issues and the learning that took place.     

Energy and momentum losses in the process of neutrino scattering on plasma electrons in the presence of a magnetic field

The neutrino-electron scattering in a dense degenerate magnetized plasma under the conditions μ ² > 2eB ≫ μE is investigated. The volume density of the neutrino energy and momentum losses due to this process are calculated. The results we have obtained demonstrate that plasma in the presence of an external magnetic field is more transparent for neutrino than for non-magnetized plasma. It is shown that neutrino scattering under conditions considered does not lead to the neutrino force acting on plasma.