数学模型

After achieving the solution of the mathematical model,a binomial productivity equation of gas-water well with two-phase flow in formation was derived in consideration of the influence of formation damage and non-Darcy effect,thus establishing the theory of transient inflow performance relationship curve of gas-water well.

文章基于质量守恒原理，建立了气水两相地层瞬态渗流的数学模型，通过定义气水两相拟压力函数，将渗流数学模型线性化，在获得数学模型解后，考虑地层损害和非达西效应的影响，推导出在地层中为水气两相渗流的气水同产井的二项式产能方程，从而建立了气水同产井瞬态流入动态关系曲线的理论。

On the basis of Gaskell′s calender theories,it was set up that the mathematics model of the symmetrical calender processing of Newtonian fluid and that of non－newto nian fluid which was looked on as pure v iscous power－law fluid.It also included the content of rolls deformation and com pensation complied with mechanical calcu lation.

本研 究主要根据Gaskell理论建立了牛顿流体对称过程的压延流变数学模型、非牛顿流体对称过程的压延流变数学模型；还根据机械计算方法建立了压延辊筒变形的计算及补偿方法的数学模型。

Main creative points of the thesis are as following:1. It is the first time to apply 2-D and 3-D turbulent model of the air-water two phases flow to the study on hydraulic properties of groyne. It makes description of the turbulent flow field to be possible precisely. This offers a more accurate method to determine the water surface in channel improvement.2. Based on the results of experiment and simulation for 3-D turbulent model of air-water two phases flow, a new formula to compute the height of damming is built.3. Based on the 2-D mode and the formula to compute the height of damming, the subdivision method of 2-D computation for water surface at upstream and downstream.

本文的创新工作主要是：首次将三维水气两相流紊流数学模型应用于丁坝水动力学特性研究，使丁坝附近流场和紊动场的精细描述成为可能，为航道整治中水面线确定提供了一个更为准确的方法；(2)基于水槽实验和三维水气两相流紊流数学模型数值模拟结果，建立了新的丁坝前奎水高度计算公式；(3)基于上述奎水高度计算公式和本文二维水面计算数学模型，首次提出了丁坝上下游二维水面分段计算方法。

The paper analyses material transportation problem and give the solvable methods; analyses delivery vehicle route problem, and then construct its corresponding mathematical model and present a heuristic algorithm based on C—W algorithm; analyses the optimum scheduling problem of trucks, and then construct its corresponding mathematical model and put forward a new algorithm; analyses the Postal Transportation Problem which will perhaps be used in supply chain of manufacturing system, and then construct its corresponding mathematical model and present an approximation algorithm.

分析了制造系统供应链中供需平衡、供需不平衡、有转运等各种情况下的物资调运问题，给出了求解方法；分析了制造系统供应链配送作业中的配送车辆路线问题，建立了相应的数学模型，提出了一种基于C-W算法的启发式算法，该算法较好地解决了有时间约束的配送问题；分析了制造系统供应链中的货运卡车优化调度问题，建立了相应的数学模型，提出了一种基于表上作业法的求解算法；分析了制造系统供应链中有潜在利用价值的邮政运输方式问题，在详细描述了该问题的基础上，建立了相应的数学模型，提出了一种近似求解算法，该算法较好地解决了邮政运输方式这样的多种物流、多种运输方式，有严格时限和众多外部约束的特大型、复杂、并行的交连系统的计划调度问题。

First introduced highway alignment's definition, the significance, the developing process and the CASIO series calculator in the highway surveying computation application; Using the traverse survey computation's two basic mathematical model (azimuth calculation, coordinate calculation), compile the corresponding procedure to solve echo the wire coordinate computation; With the aid in the mathematical model which three, four and so on leveling's field operations calculate, compiles the corresponding procedure to solve the road elevation survey computation; According to relaxes the circular curve principal point and the detail coordinate computation mathematical model, based on this programs the solution to relax the circular curve coordinate principal point and the detail coordinate computation, then further develops this procedure to use to calculate the circular curve principal point and the detail coordinate computation.

首先介绍了公路线路的定义、意义、发展过程和CASIO 系列计算器在公路测量计算的应用；利用导线测量计算的两种基本数学模型，编写相应的程序以解决附和导线坐标计算；借助于三、四等水准测量的外业计算的数学模型，编写相应的程序以解决公路高程测量的计算；根据缓和圆曲线主点及细部点的坐标计算的数学模型，在此基础上编程解决缓和圆曲线坐标主点及细部点坐标的计算，然后进一步开发此程序用以计算圆曲线主点及细部点的坐标计算。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

A mathematical model of optical axis fitting is put forward here. The model combines analytic method and numerical analysis method together with consideration of the actual decentration measurement.

提出一种光轴拟合的数学模型，该数学模型结合了解析方法和数值分析方法，考虑了中心偏测量的实际情况，在严格的数学模型基础上做了合理的简化。

The surveillant software of Epigynous PC is programmed by Visual C++ in Windows, and it has graphical interfaces to make man-machine conversation.

在系统数学模型分析过程中，通过对电机的数学模型分析，最后得出系统速度环和位置环的数学模型。

Then the author reviews the content of risk analysis of regional natural disasters and the mathematical models of risk assessment. The risk analysis is classified into three steps, risk recognition , risk estimation, and risk assessment and the mathematical models into three types, extreme risk model, probability risk model and possibility risk model. Nextly, the possibility risk model for analyzing regional disaster risk are reviewed thoroughly.

综述了区域灾害风险分析的内容及区域灾害风险估算的数学模型，指出风险分析可归结为风险辨识、风险估算、风险评价三个环节，风险估算数学模型的演进可概括为极值风险模型、概率风险模型、可能性风险模型三个阶段，着重介绍区域自然灾害风险分析的可能性风险模型。

The mathematical model of the system is divided into mathematical models of trawler, warp and fishing net, which are connected by boundary conditions reflecting the influence of each other. By using this modeling method, the dynamic simulation of the process of drawing in and giving out the fishing net is realized.

在建模过程中，将单船中层拖网系统的数学模型分为渔船、拖网曳纲以及网具系统的数学模型，并通过边界条件实现了数学模型之间的耦合，从而可以进行单船中层拖网作业过程中收放网过程的动态仿真。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。