求解

Then, E, equivalent to the transformation matrix from WCS to CCS, is computed by transforming them to a common reference coordinate system.

E就是从WCS到CCS的变换矩阵，求解该矩阵可以通过把它们变换到一个公共的参考坐标系求解。

By using the Euclidean algorithm , the matrix solution of indefinite equation of first degree is discussed.

利用高斯整环上的欧几里德算法给出求解高斯整环上的多元一次不定方程通解的矩阵解法，同时利用MATLAB数学软件给出相应的计算机求解高斯整环上一次不定方程的通用程

In allusion to traveling salesman problem existing in the Euclidean space,the strategy, simplifying the initial edge set,is put forwards to improve the efficiency of the algorithm.

针对欧氏空间的旅行商问题求解，提出了通过化简初始边集的策略，改善算法的求解效率，通过实验说明了该策略的有效性。

In this paper, we construct the differential equation to solve the unconstrained optimization problem. Such methods solving the ill-conditioned problems are very effective. It indicates that the asymptotically stable region of explicit the Euler method to solve the differential equation equals to the descent region of the gradient method to solve the original unconstrained optimization problem.

我们发现，在用Euler方法求解二次优化问题的等价动力系统的方程时，由方法的步长确定的稳定区域对应于这些方法所得到的迭代公式的步长满足单调下降算法的条件确定的单调下降区域，因此我们可以利用这个性质构造解无约束优化问题的数值方法而不采用标准的常微分方程的数值求解公式。

The idea is presented to convert sequences and consequences of event tree into their corresponding fault trees, which is used in the event tree analysis combined with fault trees. Then, a sequence analysis strategy based on cut sets matching is introduced, and the event tree fast analysis algorithm is implemented.

针对与故障树相结合的事件树的分析计算，提出了将事故序列和事故后果转换为相应的故障树求解的方法，并在此基础上，设计并实现了事件树的快速求解算法。

With the investigation of the domestic and foreign literature systematically, the bases on the domestic and foreign present research and the comprehensive utilizations of the various knowledge of fluid mechanics in porous medium, reservoir engineering, mathematical physics, perforation completion, numerical simulation and so on, this article takes numerical simulation of gas reservoir of water solubility as the research aim which has completed following research works and obtained the corresponding research results: it analyzes the nature of the Water-soluble gas and formation water as well as the influent factors of the solubility through the study of massive materials; It establishes mathematical models three-dimension, the dual medium, the gas-water phase through the way of finite difference in the migration of water-soluble gas, which describes the entire process of release, migration and production in formation, where it considered the problems of variable bubble point; According to the numerical models of gas reservoir of water solubility it provides solution procedure that based on black oil model; It discovers that there will obtain the good effects in the lowly speed of development through simulation; the reinjection of formation water may largely enhance the produce degree of water-soluble gas when we consider reinjection in simulator; It considered the influence of perforated completion on development so as to increase the simulator"s versatility, It discovers that the simulator may reflect the conditions of development when we exanimate he simulator"s reliability with the empirical datum.

本文以水溶性气藏数值模拟研究为研究目标，在系统调研国内外文献、深入分析国内外研究现状的基础上，综合利用渗流力学、油气藏工程、数学物理方法、射孔完井以及数值模拟理论等多方面的知识，完成了以下研究工作并取得相应的研究成果；①通过对大量的资料调研，分析了水溶气、地层水性质、储层地质性质以及影响气体在水中溶解度的因素。②考虑到由于高压产生的大量水力裂缝，采用有限差分方法建立水溶气运移的三维、双重介质、气-水两相全隐式数学模型，该模型描述了水溶气在地层中的释放、运移和采出的整个过程。③在原有黑油模型的基础上，根据水溶性气藏数值模型编制了该数值模型的求解程序，该程序可以求解单重、双重介质两种情况。④通过模拟不同开采速度对水溶气开发效果的影响，发现开采速度较慢的时候可以取得较好的开采效果。⑤在模拟器中考虑了注水对水溶性气藏开发的影响，地层水回注可以大幅度提高水溶气的采出程度。⑥为增加模拟器的通用性，在模拟器中考虑了射孔完井方式对开采的影响。⑦检验模拟器计算的可靠性，发现在使用实验数据对水溶性气藏进行模拟时，模拟器可以很好的反映气藏开发的状态。

This paper extends the ant colony algorithm which is used for solving 0-1 knapsack problem in reference [7], and gets enlightenment from the ant colony algorithm with 2-opt local optimization for solving traveling salesman problems: Exchange strategy can make the algorithm have faster convergence rate and get better quality solution. So this paper presents the ant colony algorithm based on exchange stragegy.

本文推广了文献[7]中求解单维0-1背包问题的蚁群算法，并从结合2-opt等局部优化的蚁群算法求解旅行商问题中得到启示：通过交换策略可以加快算法的收敛速度和获取更高质量的解，因此提出了基于交换策略的蚁群算法。

By comparing the equivalent mobility method with the direct solution method and the reverse direct solution method, reverse direct solution method is adapted in solution process because it is more excellent than the others in complicated numeric calculation, and the universality, validity and extensionality of systemic solution are realized.

在分析比较等效导纳法、正向直接法和反向直接法的基础上，发现对需要进行大量数值计算的系统，反向直接解法最为优越，提出将反向直接法作为系统求解的基本方法，实现了系统求解的通用性、有效性和易扩充性。

Good capability of searching global extremum of genetic algorithm is induced into resolve of fundamental matrix and good experiment results are obtained.

为此，在研究了大量关于基本矩阵的求解方法后，提出了一种基于遗传算法的基本矩阵鲁棒性求解方法。

But, when the problem scale is getting larger, the number of feasible solutions provided by constraint programming is also getting too huge and it very difficult to solve the whole problem with a reasonable computation.

但是当问题范围增大时，限制规划求解的困难度也随之增加。因此，期望这项问题可以作为未来研究限制规划求解人员排班问题的一个改进方向。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。