准轴对称陀螺体自激运动的平均化分析

The averaging analysis was carried out to study the motion of a quasi-axisymmetrical gyrostat under a small-magnitude self-excited control troque.The common approach to investigating the problem of rigid body rotatyion under the action of a small torque known in the body frame was described.Using this approach,the problem(Grammel‘s problem for the case of small torque) that is maintaining the angular velocity of a quasi-axisymmetrical gyrostat using a control torque quadratic in the angular velocity was solved.Maintaining the angular velocity of a quasi-axisymmetrical gryostat using a control torque quadratic in the angular velocity was solved.     

Non-formation of vacuum states for Navier-Stokes equations with density-dependent viscosity

We consider the Cauchy problem, free boundary problem and piston problem for one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Using the reduction to absurdity method, we prove that the weak solutions to these systems do not exhibit vacuum states, provided that no vacuum states are present initially. The essential re- quirements on the solutions are that the mass and energy of the fluid are locally integrable at each time, and the Lloc1-norm of the velocity gradient is locally integrable in time.     

保险中小样本信息处理的非均匀信息扩散法

When analyzing and evaluating risks in insurance, people are often confronted with the situation of incomplete information and insufficient data, which is known as a small-sample problem. In this paper, a one-dimensional small-sample problem in insurance was investigated using the kernel density estimation method （KerM） and general limited information diffusion method （GIDM）. In particular, MacCormack technique was applied to get the solutions of GIDM equations and then the optimal diffusion solution was acquired based on the two optimization principles. Finally, the analysis introduced in this paper was verified by treating some examples and satisfying results were obtained.     

替代对偶算法求解多约束非线性背包问题

Multi-dimensional nonlinear knapsack problems are often encountered in resource allocation, industrial planning and computer networks. In this paper, a surrogate dual method was proposed for solving this class of problems. Multiply constrained problem was relaxed to a singly constrained problem by using the surrogate technique. To compute tighter bounds of the primal problem, the cutting plane method was used to solve the surrogate dual problem, where the surrogate relaxation problem was solved by the 0-1 linearization method. The domain cut technique was employed to eliminate the duality gap and thus to guarantee the convergence of tile algorithm. Numerical results were reported for large-scale multi-dimensional nonlinear knapsack problems.     

Study on the Reasons of Western Festivals’ Popularity in China

With the development of reformation in China and the expanding of foreign exchanges,as the main composition of western culture,western festivals become a fashion in China.It has a special and far-reaching influence on our native festival culture and the young greatly.While many people especially young people celebrate western festivals,the Chinese traditional festivals seem fading out.This is an urgent problem that needs to be solved.This thesis is closely tracking the trend of the modern time and grasps this urgent and universal problem to conduct the research.On the basis of the investigation and analysis,this thesis aims to find out the underlying reasons of western festivals’ popularity in China and offer some sensible and effective corresponding countermeasures to this problem.     

凹资源配置问题的混合动态规划方法

Concave resource allocation problem is an integer programming problem of minimizing a nonincreasing concave function subject to a convex nondecreasing constraint and bounded integer variables. This class of problems are encountered in optimization models involving economies of scale. In this paper, a new hybrid dynamic programming method was proposed for solving concave resource allocation problems. A convex underestimating function was used to approximate the objective function and the resulting convex subproblem was solved with dynamic programming technique after transforming it into a 0-1 linear knapsack problem. To ensure the convergence, monotonicity and domain cut technique was employed to remove certain integer boxes and partition the revised domain into a union of integer boxes. Computational results were given to show the efficiency of the algorithm.     

预测摄动平面非Hamilton系统混沌的解析方法

An analytical method for predicting chaos in perturbed planar non-Hamiltonian integrable systems with slowly varying parameters was developed.Based on the analysis of the geometric structure of unperturbed systems.the condition of transversely homoclinic intersection was given.The generalized Melnikov function of the perturbed system was fund by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters.     

关于简单线性恶化问题的平行机排序的一个全多项式逼近算法

In this paper, a parallel machine scheduling problem was considered , where the processing time of a job is a simple linear function of its starting time. The objective is to minimize makespan. A fully polynomial time approximation scheme for the problem of scheduling n deteriorating jobs on two identical machines was worked out. Furthermore, the result was generalized to the case of a fixed number of machines.     

The Point Approach and the Phrase Approach to Vocabulary Learning

As is known to all, vocabulary acquisition plays an essential role in English learning. However, it was supposed very difficult to many Chinese learners. For the reason that so many kinds of approaches exists in the real life, English learners are always do not know which one is suitable and more effective. To solve this problem, the paper will analyze two approaches (point approach and phrase approach) for you.     

文艺复兴

For a few centuries, much of Europe was caught in the shackling hold of an extra-dark period in the affairs of humankind.Ignorance and superstition were rife. This was the time known as "the Dark Age".However, it gave way to a brighter period. This was the Age of Revival, better known as "the Renais-     

一族Lax可积的格方程,达布变换与守恒律

1IntroductionIn recent years , the nonlinear integrable latticeequations have been extensively studied ,such as theAblowitz-Ladik lattice[1], the Toda lattice[2], thedifferential-difference KdVequation[3]and so on[4-7].Inthe theory of nonlinear integrable lattice equations ,ani mportant subject is to search for new Lax integrablelattice equations .In addition,several methods for de-termining exact solutions of soliton equations havebeen developed . The Darboux transformation ( DT)method pl…     

具有干扰函数的AKNS族及约束系统

考虑一种新的等谱问题,并导出一族新的非线性发展方程系统．我们借助迹的恒等式建立起方程族的双Ｈａｍｉｌｔｏｎ 结构．在势和特征函数之间的Ｎｅｕｍａｎｎ 和Ｂａｒｇｍａｎｎ 约束之下,我们将等谱问题非线性化为有限维Ｈａｍｉｌｔｏｎ 系统     

Geng方程族的无穷守恒律及其相应的泛函导数

给出了Geng谱问题相应的等谱与非等谱发展方程,并给出等谱发展方程的无穷守恒律;通过AKNS谱问题与Geng谱问题之间的规范变换,得到了Geng谱问题相应的泛函导数.     

重积分的概念与计算

重积分的概念与多元函数可积判定、可积性质与可积计算密切相关,准确把握重积分概念的内涵,有助于重积分类问题的完满解决。     

几类非线性微分方程可积的充分条件

给出几类非线性微分方程，通过变换来获得可积条件，同时给出它们积分的表达式，以达到拓宽其应用范围的目的。     

多媒体积件系统的开发与设计

"积件"思想提出后,积件系统的开发和设计并没有取得预期的进展。通过对"积件"思想的利与弊进行分析,对积件的设计、开发的有关技术问题进行了讨论和阐述,提出了在积件研制中有待研究的问题。     

广义Riccati方程可积条件的讨论

利用文[3-4]由Riccati方程不变量所建立的可积准则及文[5-6]所给出的Riccati方程可积条件,将文[1-2]的可积充分条件统一之中,给出文[2]例题的新解法.     

带有幂函数的AKNS族及其Neumann流

考虑带有幂函数干扰的ＡＫＮＳ等谱问题,仍然成功地导出一族新的非线性发展方程族,并利用迹的恒等式建立起这一非线性发展方程族的双Ｈａｍｉｌｔｏｎ结构,在势和特征函数之间的Ｎｅｕｍａｎｎ约束之下,我们将等谱问题非线性化为有限维Ｈａｍｉｌｔｏｎ系统。     

高等教育规模扩张的经济学分析

对于高等教育规模扩张问题,如果仅从规模经济的角度进行分析和研究,容易流于片面性并陷入一些令人困惑的误区之中。本文从规模经济与自然垄断、范围经济以及成本劣加性三个方面对此问题进行了进一步的分析,针对性地回答了运用传统规模经济理论解释不了或解释不好的一些现实问题,并指出了政府在高等教育规模扩张中应当发挥的作用和地位,即进一步加强对高等教育产业的经济规制。