问题的

Cross Entropy method has recently been proposed as a heuristic method.It shows some simple performance in the process of solving combinatorial optimization problems.This paper makes full use of Cross Entropy method to obtain the best estimator for the max-cut problem which is a standard NP-hard problem in graph graphic theory.

交叉熵方法是近几年发展而来的一种启发式方法，在求解组合优化问题中显示出其简单有效的特点，将运用交叉熵方法寻求图论中一个典型的NP困难问题—最大割问题的最优解。

It is related to the variational inequality problem, bilinear programming, nonlinear equation. So there is actual meaning and theories value to study how to solve it.In recent years, many algorithms for solving the generalized linear complementarity problem are put forward. But they basically belong to the traditional iterative methods, and may not be efficient since the computing time required for a solution is greatly dependent on the dimension, structure of the problem and the complexity of the algorithm used. Different from the traditional algorithms, the neural network has many advantages on calculations and real-time applications for its inherent massive parallelism and electric circuit implementation.

近年来，人们对广义线性互补问题提出了许多算法，但这些方法基本上属于传统的迭代法，由于它们的计算时间极大地依赖于问题的规模、维数以及所使用的算法，因此很难满足实时并行的要求，与传统数值方法不同，由于内在的并行分布处理信息的特点及电路实现的潜能，神经网络有着许多计算上的优势和实时性的应用，自Hopfield提出著名的人工神经网络模型-Hopfield神经网络，并将其成功应用于优化问题后，用神经网络求解优化问题得到了相当深入的研究，并取得了许多重要的成果。

The given Branch and Bound method can find out the optimal solution of the problem in small size while the given GA implement can quickly find out the approximate optimal solution of the problem in large size. The given GA implement proves to be very effective by numerical experiments and examples.

对于问题的较小规模情形分支定界法能精确地求得最优解；对于问题的较大规模情形遗传算法能很快地求得近似最优解；算例及大量实验表明用遗传算法来求问题的近似解是成功的。

The first model is the optimization problems with s linear objective function subject to a system of fuzzy relation equations and a system of fuzzy relation inequalities, which are solved by using path method and 0-1 integer programming with branch and bound method.

第一种为约束为模糊关系方程和模糊关系不等式的具有线性目标函数的优化问题，采用路径法及0-1整数规划中的分枝定界法对其求解；第二种为约束为模糊关系方程和模糊关系不等式的格线性规划问题，采用直接法、路径法及0-1整数规划法对其求解；第三种为模糊关系不等式为模糊的，即约束中有一个可接受的容差，采用容差法及正负理想法对其求解；第四种是一种新的可能性模糊线性规划问题，采用模糊数大小比较法、"切片-粘贴"法及正负理想法，并设计了随机模拟的遗传算法对其求解；第五种为期望值模型，利用期望值将其转化为清晰约束系数的线性规划问题的方法。

We show that such decomposition gives the same solution with the original problem, and discuss well-posedness of the Cauchy problem based on the stratification theory.

首先证明了这样的分解与原问题同解，然后用分层方法讨论相应Cauchy问题的适定性，从而得到了原混合问题的适定的充要条件。

Concurrence of civil liabilities is a very important and complex question in the theory of civil law,which has been paid attention in western country ,but there is little attention to the study about this in china .

民事责任竞合是民法理论中一个较为复杂、重要的理论问题，在西方一些国家早已引起人们的关注，而我国对这一问题的研究相对较少，立法及司法实践对这一问题的关注也刚刚开始。

satisfiability problem ; restrictive formula ; conjunctive normal form ; BPSO algorithm ; hill-climbing method

其中，基于局部搜索的完全算法保证能够求得SAT问题的解，但是当问题的规模较大时往往效率很低，不实用；而不完全算法虽然不能完全保证求得SAT问题的解，但

The solutions of two plane strain basic problems can be used to obtain the analytic solutions of two subproblems through the continuity condition of displacement.The theoretical solutions for the stress distribution in...

进一步地，基于两个弹性力学平面应变基本问题的解，采用结构力学的求解思想，由位移连续条件分别求得了两个子问题的解，最后由叠加原理得到了原问题的理论解。

To sum up, in the paper unified computational methods for solving notwell-posed continuous linear operator equation wore given and there are alsoconvenient for the physical problems.

综上所述，本文中关于不适定连续线性算子方程求解问题的研究，注意到各种物理问题求解的方便性，给出了解决此类问题的统一的计算方法。

The combinatorial and delimitative algorithm can be used to solve the problem. A software called "Power Discrete" to implement this algorithm is developed by using Microsoft Visual6.0. It is a useful tool for linear programming problem with discrete variables and for discrete optimum design of structures, and in addition, the software also includes other algorithms such as genetic algorithm.

在国际上， 20世纪 60年代末期和 70年代初期，研究人员已开始对工程离散变量优化设计问题进行研究，但由于当时对于连续变量的非线性规划问题的研究还不够深入，所以在 70年代和80年代，研究的重点集中于连续变量的非线性规划问题。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。