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On this basis, according to historical data, apply ANN and differential simulation method to get the quantitatively correlative relations between each production and its own influence factors, and introduce the new methods of prediction for dynamic indexes with gas-field development (The combinatorial prediction method based on fuzzy comprehensive evaluation, the method of ANN to select optimally combinatorial prediction models and the ANN prediction method based on genetic algorithm).(2) Base on mathematical programming, combine with quantitative economics and techno-economics, introduce economical indexes to establish production"s distribution optimal model, production"s constitution optimal model and measured production"s constitution optimal model, including multi-objective models and five-years models. Upon this, the optimal project for all gas field and each gas-collected factory can be got. Also, introduce the time value of capitals to improve on these models.(3) Base on the optimal solution theory and algorithm theory for the nonlinear programming problem, introduce the SUMT algorithm and genetic algorithm to study how to solve the models, and on the basis of normal genetic algorithm, make use of auto-adaptively modulating method to improve on normal genetic algorithm; Base on algorithm"s convergence theory and calculation"s complexity theory to analyze seriatim SUMT algorithm"s convergence and genetic algorithms convergence, and compare performance with each other.

在此基础上，利用神经网络方法和微分模拟方法根据历史数据得到各分项产量与其影响因素之间的定量关联关系，并引入气田开发动态指标新的预测方法(基于模糊综合评判的组合预测方法、神经网络优选组合预测模型预测方法以及基于遗传优化的神经网络预测方法)；(2)以数学规划为基础，结合数量经济学和技术经济学，引入经济指标建立产量分配优化模型、产量构成优化模型、措施产量构成优化模型、气田开发多目标规划模型以及五年规划模型，进而获得全气田及各采气厂的最优方案，并引入资金时间价值对五年规划模型进行改进；(3)以非线性规划问题的最优解及算法理论为基础，引入SUMT算法以及遗传算法对模型的求解进行研究，并在原有的遗传算法基础上，引入自适应调整方法对遗传算法进行改进；以算法的收敛性理论和计算复杂性理论为基础，逐一分析SUMT算法以及遗传算法的收敛性，并比较三种算法的优劣性。

The basic theories of mathematical morphology for binary image are stated, and the most simple structure elements of morphologic transformation for binary images are proposed and proved. The geodetic morphologic transformation models are also developed. For the purpose of improving the speed of transformation in computer, the"set symmetric difference"is introduced to adapt each model. Some new morphologic filtering models and quantitative evaluating model of filtering effects in image processing are proposed, under the applied condition. The morphologic thinning methods are studied, and two new morphologic thinning models are developed. On the basis of analyzing the characteristics of mining maps, the image vectorizing tactics and a series of algorithms are proposed, including dynamic adaptive image thresholding using two thresholds, graphic and text separation, noise removal, and multi elements extracting models with mathematical morphology. Accuracy preserving compressed vectorizing model for image vectorization is put forward to generate vector data in multi layer.

论文对二值图象形态学的基础理论进行了较系统的阐述，提出并证明了二值图象处理中形态变换的最简单结构元素，并发展了测地形态变换模型；为了提高形态变换的计算机实现速度，引入了集合论中"对称差"的概念对各形态变换模型进行了改化；针对数学形态学在图象处理中的实际应用，提出了新的形态滤波模型及滤波效果的度量评价模型；研究了形态细化方法，提出了快速形态细化和保形快速形态细化算法；在研究矿图基本特征基础上，提出了人机协同矿图扫描图象矢量化处理策略及一系列扫描图象处理算法模型，包括双阈值动态自适应图象二值化、图文分离、噪声去除、图面多种要素提取形态变换模型等；在图象栅格—矢量转换中，提出了保精度压缩矢量化模型，以生成分层要素矢量数据。

We will introduce some definitions in the Mathematics Ecology and the mathematical theories and methods. Methods for studding the population ecology or the more ordinary ecology are by setting up the mathematical modelings. We will give the examples of the single population models and the population with interaction models.

简单介绍数学生态学中的一些常用的名词和研究问题所用的数学手段-通过数学建模的方法，将一个实际的生态问题量化为一个数学问题，给出常用的单种群增长的数学模型和具有种间关系的多种群数学模型。

Based on the analysis of working process of ejection gun of rocket ejection seat ,the physical and mathematical models of interior ballistics of ejection gun were established and the interior ballistics parameters of a rocket eject seat were validated by test and calculation.

在分析火箭弹射座椅弹射动力系统的工作过程的基础上，建立了其内弹道的物理模型和数学模型，并对某型火箭弹射座椅弹射动力系统内弹道进行了试验验证与计算，试验所测膛内气体压力随时间变化曲线与计算曲线基本吻合，弹射过程最大压力pm、工作时间tg、出口压力pg和出口速度vg分别为24.20(24.57)MPa，157(155)×10-3s，22.27(21.83)MPa，16.61(16.59)m.s-1，各特征参数的计算值最大误差小于3%。

In a no overlapping generation population with selection, mutation、migration and random drift under consideration, two mathematical models presented in this paper might describe change of frequencies of multiple alleles at a locus and population mean of metrical characters resp.

在假定无世代重叠，群体内存在选择、突变、迁移，且考虑漂变效应的情况下，本文所构建的两个数学模型可分别用来描述一个座位上多个主基因频率或数量性状群体均数的动态变化。

An ABCs based on scalar magnetic potential is proposed and the correspondent mathematical models in spherical boundaries are established.

首先提出了基于标量磁位的渐近边界条件，建立了球形边界的标量磁位渐近边界条件数学模型。

The mathematical models for both MR valves are established on the basis of the structural design and magnetic circuit simulation.

在一定的结构设计和磁场仿真的基础上，建立了两种磁流变阀的数学模型。

At First, the thesis researches the dynamic characteristic of servo valve, model of dynamical outfit about valve control unsymmetrical hydraulic ram, influence of the additional disturbing force and the systematic static error, on the base of analysis of fatigue testing machine system. Then the mathematical models of position control system and force control system are built. According to the principle of load-matching, the hydraulic dynamical outfit and power source system are designed and components are chosen. Then the correlative parameters of system model are calculated and the simulation study is carried out.

研究了伺服阀的动态特性、阀控非对称液压缸系统的动力机构模型、附加干扰力的影响以及系统静差，继而建立了位置控制系统和力控制系统的数学模型，并在此基础上计算系统相关参数，对系统进行了仿真研究，进一步分析了系统的稳定性和可控性。

The mechanical model and mathematical models of dead weight and lever support system on bandsaw were set up.

为揭示杠杆压砣张紧系统的内在本质问题。建立了空载条件下的张紧系统的力学模犁和数学模型。

Based on normal automatic rifle with shooter standing firing without support andprone firing with support, the dynamics characteristics of man—weapon system werestudied, the physical and mathematical models of the above two firing gestures wereestablished.

本文以常规结构自动步枪的立姿无依托抵肩射击和卧姿有依托抵肩射击系统为研究对象，对人枪系统的动力学特性进行了系统的分析，建立了两种射击状态的物理模型和数学模型。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。