On the Curvature of the Central Path of Linear Programming Theory

We prove a linear bound on the average total curvature of the central path of linear programming theory in terms of the number of independent variables of the primal problem, and independent of the number of constraints.     

A computational strategy for multiscale systems with applications to Lorenz 96 model

Numerical schemes for systems with multiple spatio-temporal scales are investigated. The multiscale schemes use asymptotic results for this type of systems which guarantee the existence of an effective dynamics for some suitably defined modes varying slowly on the largest scales. The multiscale schemes are analyzed in general, then illustrated on a specific example of a moderately large deterministic system displaying chaotic behavior due to Lorenz. Issues like consistency, accuracy, and efficiency are discussed in detail. The role of possible hidden slow variables as well as additional effects arising on the diffusive time-scale are also investigated. As a byproduct we obtain a rather complete characterization of the effective dynamics in Lorenz model.     

民族精神与浙东史学

浙东史学是指在一定的区域范围内，先后传承，有着相近的治史宗旨或方法的史学流派。它从南宋时期开始形成，经过元明、清初，一直到晚清，其发展不绝如缕。并在其发展的过程中，形成了独有的特色，其中民族精神是其显著特色之一。     

道路照明节电方法的应用与分析

阐述了路灯节电方法的应用，并对节电方法的经济性进行了分析，展望了绿色照明的前景。     

思想政治教育教学应注意的几个问题

文章旨在从教育教学的角度，从六个方面探讨新形势下如何加强和改进思想政治教育教学的方法，以提高思想政治教育教学工作的效率，实现思想政治教育的功能。     

体育专业教师创新思维的建构途径

培养体育专业学生的创新精神和创造能力的关键在于教师，因此体育教师的创新思维至关重要．运用调查法、逻辑分析法建构了体育专业教师创新思维的途径．     

Convergence of multistep discretizations of DAEs

Standard ODE methods such as linear multistep methods encounter difficulties when applied to differential-algebraic equations (DAEs) of index greater than 1. In particular, previous results for index 2 DAEs have practically ruled out the use of all explicit methods and of implicit multistep methods other than backward difference formulas (BDFs) because of stability considerations. In this paper we embed known results for semi-explicit index 1 and 2 DAEs in a more comprehensive theory based on compound multistep and one-leg discretizations. This explains and characterizes the necessary requirements that a method must fulfill in order to be applicable to semi-explicit DAEs. Thus we conclude that the most useful discretizations are those that avoid discretization of the constraint. A freer use of e.g. explicit methods for the non-stiff differential part of the DAE is then possible.Dedicated to Germund Dahlquist on the occasion of his 70th birthdayThis author thanks the Centro de Estadística y Software Matemático de la Universidad Simón Bolivar (CESMa) for permitting her free use of its research facilities.Partial support by the Swedish Research Council for Engineering Sciences TFR under contract no. 222/91-405.     

姬松茸高产栽培模式研究

为充分利用当地丰富的秸秆和牛粪资源，及早在北方地区开发生产姬松茸这一珍稀品种。从姬松茸的选育、栽培模式比较试验结果可看出，合理控制温湿度，改进覆土方式，加强病虫害预防是保证高产的有效措施。     

Approximate Toeplitz Matrix Problem Using Semidefinite Programming

Given a data matrix, we find its nearest symmetric positive-semidefinite Toeplitz matrix. In this paper, we formulate the problem as an optimization problem with a quadratic objective function and semidefinite constraints. In particular, instead of solving the so-called normal equations, our algorithm eliminates the linear feasibility equations from the start to maintain exact primal and dual feasibility during the course of the algorithm. Subsequently, the search direction is found using an inexact Gauss-Newton method rather than a Newton method on a symmetrized system and is computed using a diagonal preconditioned conjugate-gradient-type method. Computational results illustrate the robustness of the algorithm.     

Asymptotic Methods Applied to Contact Problems

Asymptotic methods for contact problems are expounded. Some typical integral equations are considered