应用数学

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.

应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model the constrained problem、the initial population and the controls parameter of genetic algorithm .

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

Based on a great many literature, this paper analyzes and summarizes the genetic algorithm for the design of structural optimization. The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model、the constrained problem、the initial population and the controls parameter of genetic algorithm Aimed at the characteristic of structural optimization and finite-element analysis, this paper accomplishes the optimal program based on the simple genetic algorithm.

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

Based on a great many literature, this paper analyzes and summarizes the genetic algorithm for the design of structural optimization. The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model、the constrained problem、the initial population and the controls parameter of genetic algorithmAimed at the characteristic of structural optimization and finite-element analysis, this paper accomplishes the optimal program based on the simple genetic algorithm.

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

The combined model of neural network and traditional mathematic models is studied in this paper to overcome the problems of calculation of parameter preset values of complex industrial process, and practical application of this method in process automation of hot rolling is emphatically analyzed and discussed. According to the running results of a hot strip mill for more than three years, the successful application of neural network created the advantageous condition of improving the product quality and automation level of hot strip mill.

针对目前复杂工业过程参数设定值计算模型存在的问题，研究了神经网络与传统数学模型相结合的组合建模方法，重点讨论了该方法在带钢热连轧生产过程参数设定值计算中的实际应用。3年来的生产实际运行结果表明，神经网络的成功应用为热连轧厂进一步提高产品质量和自动化水平创造了有利的条件。

Based on the science idea of coupling, this paper studied systematically the theory, mathematical model and technology of rock mass hydraulics in coal mining above aquifer, the numerical simulation method, the resemble simulation theory and method. A series of reciprocity law on the stress and displacement of upper and down floor of coal layer, coal pole, fault and the law of water pressure variety was analyzed thoroughly and particularly. Based on the relation of hydraulics character of multi-aquifer, the inspecting and predicting theory model, method and system of water outburst was founded. By used in the colliery, The results were ratified by colliery missionary. In situ test for the hydraulics character of the floor on hydrology observation hole was done.

本文基于固流耦合作用的学术思想，通过理论研究、相似模拟实验、数值分析及现场实际应用，系统研究了带压开采的块裂介质岩体水力学数学模型，数值模拟方法，相似模拟理论与方法，深入细致地分析了带压开采中项底板、煤柱、断层的应力位移分布、含水层水位变化等一系列相互作用规律，并建立了基于多含水层水力联系的底板突水监测预报理论模型及其监测预报方法与系统，并将研究成果应用于现场实际，得到了现场工作人员的一致认可。

To prepare studying hierarchical intelligent control system of material flows in mineral processing plant further, picturing, transition rulers, analytic methods, relevance matrix and dynamic equation, defect in applying of Petri network, fall short of orient object models applying are discussed after technology of formalization model built, non-formalization built and compound model. And Petri network system with time attribute is expanded opening network system with interface of input and output. The network system expanded with all attributes of basic Petri network model has hierarchy and recursiveness, can be analyzed with mathematical tools of network system and can deal with concurrent and asynchronously also.

为了对选矿厂生产物流递阶智能控制系统的进一步研究奠定基础，本文在讨论了形式化建模技术、非形式化建模技术和复合模型的基础上，研究和分析了Petri网的图形表示、变迁规则、分析方法、关联矩阵与动态方程、Petri网模型应用中的缺陷、面向对象模型应用中的不足，并把采用赋时的Petri网系统扩展成为对外界有输入和输出接口的开放网系统，扩展后的Petri网具有递阶性和递归性，同时保持基本Petri网的所有性质，使模型仍可采用网系统数学工具进行分析，并可处理生产物流系统中的并发性和异步性。

Application predicate logic on data sublanguage as its mathematical foundation would make the study of data sublanguage become the research of predicate logic and the optimization of data sublanguage become the matters of simplification of predicate logic.

本文旨在研究将谓词逻辑及公理化理论应用于关系数据库中表示数据子语言，应用谓词逻辑作为它的数学基础，使得对这些语言的研究成为对谓词逻辑的研究，优化数据子语言的表示成为对谓词逻辑的化简问题。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。