Vessel Arrival Process and Queueing in Marine Ports Handling Bulk Materials

We study the vessel arrival process in bulk ports handling either cargo containers or minerals. Then we introduce the SHIP/G/1 queue to be able to study the queueing behavior at the port. We present approximations for the asymptotic probabilities of delay and the number of vessels at the port. Numerical examples show the accuracy of the approximations. In appendices, we provide details of the analysis of the number of vessels at the port and the correlation properties of the vessel arrival process.     

Spectral Analysis of Powers of the Operator (Vf)(x)=q(x)∫0 xw(t)f(t),dt

Mathematical Notes -     

论全球化视野下的民族文化整合与发展

经济全球化的兴起 ,不仅使生产要素在全球得以配置 ,也使文化多元化成为各民族文化发展的平台。无疑 ,2 1世纪人类文化交往的空间会进一步扩大 ,然而 ,由于各民族文化间的差异 ,文化整合问题日益凸现。因此 ,应当以创新的观点对待中西文化 ,以自觉的心态建构现代文化形态 ,实现民族文化的整合与发展。     

论社会主义政治文明的价值视野

政治文明中的价值理念是支撑制度文明和机构运行的深层次要素，制度创新首先应从价值理念的创新开始。不同文明之间价值资源的共享与相互借鉴，已成为当今世界政治发展的一个主流趋势。社会主义政治文明建设必须以人本理念为核心价值，吸收借鉴人类一切政治文明成果，在实践中不断推进体制创新。     

Interpolatory integration rules and orthogonal polynomials with varying weights

We investigate which types of asymptotic distributions can be generated by the knots of convergent sequences of interpolatory integration rules. It will turn out that the class of all possible distributions can be described exactly, and it will be shown that the zeros of polynomials that are orthogonal with respect to varying weight functions are good candidates for knots of integration rules with a prescribed asymptotic distribution.Research supported by the Deutsche Forschungsgemeinschaft (AZ: Sta 299/4-2).     

Randomized UMD Banach spaces and decoupling inequalities for stochastic integrals

In this paper we prove the equivalence of decoupling inequalities for stochastic integrals and one-sided randomized versions of the UMD property of a Banach space as introduced by Garling.

     

Matrix Lax Polynomials, Geometry of Prym Varieties and Systems of Hess–Appel’rot Type

We consider a four-dimensional generalization of Hess–Appel’rot system and costruct its Lax pair. Both classical and algebro-geometric integration procedure are proceeded. The algebro-geometric integration is based on deep facts from geometry of Prym varieties such as the Mumford relation and Mumford-Dalalyan theory. The integration is similar to the integration of Lagrange bitop which has recetly been performed by the authors.     

传统文化与城市的重构及整合研究

通过对传统文化与城市的重构、整合相互关系的历史研究,从中发掘城市发展的文化脉络,指出传统文化格局的变迁,表现在意识形态领域,落后文化吸纳先进文化,促进城市形态的变更。在城市的重构、整合方面,旨在为现代的城市设计提供可鉴之路。     

粘结平面对称分叉裂纹的奇异积分方程数值解

本文对一个含分叉裂纹的弹性半平面与另一不同材料的半平面粘结的问题用复势方法化为一组三个复Caucby型奇异积分方程。采用修正的Gauss-Legendre和修正的Lobatto-Legendre数值求积法则化成一代数方程组,裂纹尖端的应力强度因子值可从代数方程组的解求得。本文计算得到了弹性半平面、刚体与弹性半平面相粘结、两种不同材料的弹性半平面相粘结的三种问题的几种几何形状的对称分叉裂纹的应力强度因子。本文的结果扩充了“应力强度因子手册”的内容。     

A method for selection and use of numerical integration points for molecules with cylindrical symmetry

Boys and Handy [1] have discussed the solution of the bivariational equations with restricted numerical integration. One of the weaknesses of the method was that in the numerical summations over points, some points arose with r _ij= 0 and non-zero weights. This makes the method quite impractical for the Schrodinger Hamiltonian (because of the singularity at r _ij= 0), and it cannot be advantageous for the transcorrelated Hamiltonian C^–1HC because there will be some discontinuous higher derivatives at r _ij=0. Here it is shown how the symmetry of cylindrically symmetric molecules can be used to eliminate such points, without losing any of the advantages of the overall method, such as the convergence of the eigensolutions. It is also shown how the primary numerical integration points (z _i, r_i) may be chosen in any calculation such that each is associated with an equal amount of one-electron density. The choice of the angular coordinates are governed by the removal of the r _ij=0 points and maintaining the natural orthogonality between orbitals of different symmetry types. The method has been programmed and found to be practical, although no new molecular calculations have yet been performed. It is to be hoped that these points will give a basis for new transcorrelated calculations on diatomic molecules.This paper was presented during the session on numerical integration methods for molecules of the 1970 Quantum Theory Conference in Nottingham. It has been revised in the light of the interesting discussion which followed.