应用函数

The relationship between relative yield and relative water use is formulated,based on these data, a optimal irrigation scheduling under sprinkling irrigation condition can be made or the lower level of soil moisture in different growing stage might be teken as the indicator for the scheduling irrifgation in winter wheat.

喷灌条件下土壤水分、硝态氮空间变异特征研究：应用地统计学理论，以半方差函数为工具分析不同灌溉制度下，土壤含水率(0～60cm)和土壤中硝态氮在相应深度的空间分布，用各类模型拟合半方差图，在此基础上应用普通克立格技术估算未知点的土壤含水率，使用最优内插值法绘制土壤含水率和硝态氮在田间的空间分布等值线图。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

On one hand, profound understanding of harmonic oscillator model through various ways is crucial to understand the essence of quantum mechanics and research into micro physical models by means of quantum mechanics; on the other hand, the application of algebraic approach to solve the eigenvalues and wave function of mechanics is the main means to solve the actual problems in quantum mechanics.

简谐振子模型是量子力学中极其简单又重要的模型，其物理思想在其他相关的学科中都有着广泛的应用，通过多种途径去深入理解简谐振子模型，对理解量子力学的实质和运用量子力学作为工具去研究微观物理模型都有重要的意义；另一方面在实际工作中应用代数方法去求解力学量的本征值和波函数是研究量子力学的主要手段。

Through the research of direct search method based on 3D FEM, and its application for the tunnel slope stability analysis, the objectives of this work in this paper are as follows:1. The dynamic programming as well as its application for 3D side slope stability analysis is studied. With the introduction of graph theory concept, one kind of glide pattern of 3D slope is constructed, and the critical slip surface with smallest safety factor is searched with the aid of one auxiliary function including safety factor;2. Using the C++ programming language, the 3D slope stability analysis and the direct search procedure is established, and this method is testified applicably by some contrast analysis, also some influence factor in analysis is discussed;3. Integrated with the different actual situation in tunnel slope, considered its excavation, timbering and rain infiltration, its stability influence and rule is researched used this method, also some processing measure is proposed.

本文通过对三维有限元直接搜索法的研究，并将其应用于隧道边坡的稳定性分析中，主要的研究内容有：1、研究了动态规划原理及其在三维边坡稳定性分析中的应用，引入图论概念，构筑出一种边坡三维滑裂面的滑动模式，借助一个包含安全系数的辅助函数并通过动态搜索求得临界滑裂面与最小安全系数；2、采用C++程序设计语言，编制出边坡三维稳定性分析以及直接搜索法的程序，通过一些算例的对比分析，验证本文方法的适用性，并讨论了三维分析中的一些影响因素。3、结合隧道边坡的不同实际情况，考虑施工开挖过程、衬砌结构及降雨渗流等方面的因素，利用本文方法研究对其稳定性的影响和规律，并提出处理措施

That attical is to appty the regression analysis and the colleet analy- sis in the mathematics statistics method to make the first definite mea- sure analysis for recationship of physical geography factor and divis on of geographical type.

本文应用数理统计方法中的回归分析和聚类分析，对自然地理要素间关系和地理类型的划分作了初步的定量分析。在回归分析中，应用我国山地的降水资料建立了地形高度对降水影响的数学模型，得出山地降水垂直分布规律服从于线性、幂函数、指数函数和对数律。

Therefore, according to characteristics of threat assessment and multiple att ribute decision making, the model and method for threat assessment based on mult iple attribute decision making are presented in this paper.

根 据威胁评估和多属性决策的特点，提出了基于多属性决策的威胁评估模型和方法，应用隶属函数及逼近于理想的排序法分析，并通过示例说明应用多属性决策的威胁评估方法。

If changes in the DLL cause the export ordinals to change, applications using explicit linking do not have to relink (assuming they are calling GetProcAddress with a name of a function and not with an ordinal value), whereas applications using implicit linking must relink to the new import library.

如果DLL改变导致输出顺序改变，使用显式连接的应用不需重新连接（因为使用GetProcAddress调用函数名称而不是顺序值）。而隐式连接的应用需要重新连接新的输入库。

Secondly, modularization technique is used in the structure analysis of product. The modeling means using mainly top-down modeling and subsidiarily down-top modeling is applied, and controlling codes are programmed through applying API and VBA in SolidWorks. The product is detected by finite element technique. Finally, the rapid design system is developed for bend door of railway vehicles, and it has got an effective application in enterprises.

本系统在产品结构分析上采用模块化技术，在参数化建模中应用自上而下建模为主、自下而上建模为辅的建模手段，通过应用SolidWorks的API函数及VBA编制相应的控制程序，并通过有限元技术对设计的产品进行力学分析验证，完成了轨道车辆弯门产品的快速设计系统的开发。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用，我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题，主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式，另一方面我们研究了多元插值在有限元中的应用，主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

Theoretical analysis and forecasting examples all show that the new technique has strong universalized capabilities an d the ability to adapt to the changes of function. With respect to combined modeling and forecasting of economic time series in nonlinear syste ms, which have some uncertainties, the method are feasible and effective.

理论分析和大量的应用实例表明：本方法具有很强的泛化能力与自适应数据和函数变化的能力，在处理诸如经济时间序列这种具有一定程度不确定性的非线性系统的组合建模和预测方面有较高的应用价值。

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。