在算法上

It shows that a remarkable advantage of the symplectic methods applied to the Schrodinger equation is the precise preservation of charge conservation law. In order to study the numerical stability, we also adopt the different time step sizes.

为了比较，我们还给出了同阶的非辛算法的数值模拟，从而得到辛摄动配置算法和其在理论上等价的辛龙格-库塔方法在数值上的等效性以及辛算法在数值计算中的优越性。

The using of the technologies of DOA in the orientation estimating of interference is discussed, then an evolutive ESPRIT algorithm is put forward which avoids the eigendecomposition and is easily achieved. To the MUSIC algorithm, an easy eigendecomposition algorithm for Hermitian matrix is presented. It breaks away form the complex matrix decomposition such as QR algorithm. Basing on the whole matrix, the algorithm makes use of the multiplication operation of matrix and vector, which attains simpleness and is fit for DSP. In the field of DOA estimating of correlation interferences, spatial smoothing algorithm consumes too many array units.

讨论了DOA技术在干扰源方位估计中的应用，提出了一种ESPRIT演变算法，该算法避开了特征值分解，实现简便；在MUSIC算法的实现中提出了一个Hermitian矩阵特征值分解算法，该算法摆脱了复杂矩阵分解，从矩阵整体出发，主要的运算是矩阵与矢量的乘运算，算法简单，非常适合DSP芯片实现；在相关源的DOA估计中，空间平滑技术使阵元的损失非常大，本文提出了一种进一步降低阵元消耗的平滑技术—随机空间增益法，其在运算量上的增加很小，但对于相干源的去相关确是有效的。

Modifications to the conventional layer by layer optimization method make it possible to avoid computing Hessian Matrix and its inverse form, thus it can decrease computational complexity dramatically. Simulation results for some practical problems such as function approximation and XOR problem, have demonstrated improvements over classical back-propagation algorithm and conventional layer by layer optimization algorithm.

本文在传统逐层优化算法上的改进避免了反复计算 Hessian 矩阵及其逆矩阵，因而可以减少计算量，对一些应用问题，如函数逼近、异或等问题的仿真实验证实了新的算法比经典的 BP 算法以及现存的逐层优化算法的训练速度更快、可靠性更好。

N[1] and[2], the classification theory of indices set of irreducible nonnegative matrices isstudied,according to that theory . An algorithm for the period and the classification of indices setof irreducible nonnegative matrices are given. Using this algorithm.

文［1］和［2］讨论了不可约非负矩阵指标集的分类理论，在此基础上，本文给出了不可约非负矩阵的周期与指标集的分类算法，这一算法能同时求出周期与同余类，当矩阵的阶不大时，该算法容易在图上实现。

The projection gradient method will be a possible way to solve the problem that we just get. It has been shown that the projections of the every directions, of which is the boundary point in linear restraint problems, are the possible decent directions, and the projection of negative grads direction is a decent direction. In 1960, Rosen proposed the basic idea of projection gradient methods, and then lots of researchers have been tried to find the convergence of this method. But most of them get the convergence with the condition to amend the convergence itself.

在约束最优化问题的算法中怎样寻找有效的下降方向是构造算法的重要内容，在寻找下降方向方面可行方向法中的投影梯度法有效的解决了下降方向的寻找问题，利用线性约束问题边界点的任意方向在边界上的投影都是可行方向，而负梯度方向的投影就是一个下降方向。60年代初Rosen提出投影梯度法的基本思想，自从Rosen提出该方法以后，对它的收敛性问题不少人进行了研究，但一般都是对算法作出某些修正后才能证明其收敛的，直到最近对Rosen算法本身的收敛性的证明才予以解决。

In chapter 4, basing theories and methods of scientific visualization, and artificial neural network BP algorithm, we integrate the Visual C++, OpenGL graphics library and Excel VBA technique to develop the program of artificial neural network and to make the BP algorithm visually, this program works can be divided into four parts: Using C language to develop program about BP algorithm; Using Visual C++, develop the GUI Interface, make input parameter visually; Using OpenGL graphic technique to display the training sample point in three dimension; at last using Excel DDE technique display the error graphic tables in Excel system In chapter 5, on the view of engineering application, we establish new method of surface reconstruction basing artificial neural network, develop interface program between module and commercial CAD/CAM system, meantime deeply discuss some key problems, for example, setting up the base plane, using the API technique, cutting and editing surface boundary, and also discuss the more compliant problem: how to intersect surface, at end we finish the work of translation from our surface reconstruction module to commercial CAD/CAM system, then make reverse engineering system basing artificial neural network more useful.

第四章基于科学计算可视化理论，依据人工神经网络BP算法理论模型，综合Visual C++，OpenGL图形库以及Excel VBA等多项软件开发技术，编制了人工神经网络程序，实现了BP算法的可视化映射。具体工作分为四部分：利用C语言实现人工神经网络BP算法；利用VisualC++的GUI技术开发图形用户界面，实现参数设置可视化；利用OpenGL图形技术进行三维映射，显示学习样本及训练样本点；利用微软电子表格DDE动态数据交换技术，在Excel上动态显示学习误差曲线图。第五章从工程应用的角度出发，提出了一种新的基于人工神经网络算法的曲面裁剪重构方法，完成了曲面重建模块与通用CAD/CAM系统的接口设计工作，对其中的若干关键问题进行了深入讨论，例如基平面设定、API技术的应用、边界裁剪等问题，同时，对曲面计算中较为困难的曲面相交问题也进行的专门探讨，最终完成了曲面重建模块向CAD/CAM系统的数据传输工作，使人工神经网络逆向工程系统趋向实用。

When processing the restrained conditions, we convert the restrained conditions into punish function and add it to fitness function which profits from the conventional method. We introduce the support vector machine to the selection operator, which increases the multiplicity of selection and increases the probability of the algorithm getting the overall optimal solution. Also, we use the adaptive probabilities of crossover and mutation in mixed GAs which enhances the efficiency of the algorithm. The result of tests about the system indicates that the improved genetic algorithm has more high convergence speed and better solution quality.

在生成初始种群时，不是简单的随机生成，而是用支持向量机对历史数据进行分类，用较优的一类历史数据作为初始种群；在约束条件的处理上，本文借鉴常规方法中的罚函数法，采用将约束条件作为罚函数包含到适应度评价中去的方法；在选择算子上，本文引入了支持向量机的方法，增加了选择的多样性，增加算法搜索到全局最优解的概率；同时针对交叉概率和变异概率在算法的前后期不同的情况，本文引入了Srinvivas等提出的动态自适应的方法，使得交叉概率和变异概率能够随着算法中个体的质量动态改变，提高算法的效率。

This paper has done a deeply research on the evaluative method, which focus on maintaining and ensuring the camion. After deeply analyzing the maintain theory of army equipment and the stratagem 's characteristic and combining the current systems engineering evaluating theories and methods, it has analyzed and solved all limitations that coming forth when a single model is used to evaluate the maintain capacity. After analyzing and ameliorating the judgment of AHP's coherence, the calculation of the expert power value and the optimizing of the more-extreme judging model, a new calculation method, the multidimensional complex calculation theory, is presented, which much fits for the evaluative calculation of the camion. The new theory's feasibility and the evaluation's reliability have been proved in theory in this paper. This paper also analyses the principle and the program, which is about building a camion evaluating system. According to the multidimensional complex calculation theory, an evaluative model has been built. Applying the levels analytical method, this paper fixes on the calculation of every target's power, brings the optimization allot precept of macro spatial resource, optimizes the resource of the maintainability of theater of operations' vehicle, which offers a theory foundation for optimizing of the resource space. The research not only brings out a uniform standard for the evaluating of the maintain ability of the camion, but also presents a theory foundation and method for perfecting the camion maintain system.

本文对军用车辆维修保障能力评估的方法论进行了深入研究，在理论上通过对军事装备维修理论及战略特性的深入剖析，结合现有系统工程评估理论、评估方法的特点，分析解决了应用单一模型评估装备维修能力问题的各种缺陷，就AHP法判断矩阵一致性判定，群策专家权重值的确认及多元评判模型的优化进行了研究和改进，形成了适应军事车辆维修保障能力评估应用的新算法--多元复合算法理论，对这一创新评价理论的科学性及评估可靠性进行了理论证明和算法应用；研究分析了建立军用汽车维修保障能力评估指标体系的原则和程序，并按照多元复合算法的理论，建立了车辆维修保障能力评估模型；应用层次分析法的原理，明确了各指标权重的算法，提出了宏观空间维修资源优化分配方案，优化了战区车辆装备维修能力资源空间，为某一具体车辆装备维修能力形成所需维修资源空间的优化提供了理论依据；本文的研究既为军用车辆装备维修保障能力评估提供了统一的衡量标准，也为军事装备维修保障系统的进一步完善提供了理论依据及方法手段。

The work has been emulated and analyzed by computers, and a computer network fault diagnosis system has been excogitated.

在BP神经网络算法上对LM算法进行改进，对在LM算法中的大型矩阵求逆时使用并行算法求解线性方程组的方式加以改进，并使用计算机网络故障诊断作为实际算例进行计算机仿真和分析，开发了一套计算机网络诊断系统，以期能对理论研究和应用工作提供参考和帮助。

The compressed point sample can be transferred progressively after serialization. Secondly, the thesis purposes another algorithm to render the compressed point data which can render the model without reconstructing the full structure of KD-Tree. The algorithm uses the View-Frustum Culling, Back-Face Culling and Level of Detail method, and boosts the speed and precision on rendering.

其次，提出了一个在此压缩算法上的模型快速绘制算法，该算法可以直接使用序列化后数据并不需要恢复完整的KD-树结构即可进行绘制，该算法使用了视锥裁减，背向面裁减，层次细节等方法，极大提高了绘制的速度和精度。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。