查询词典 mathematical model

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

Comprehensively making use of the basic theory, such as Space Analytic Geometry, Gear Meshing Engagement Theory, Method of Mathematical Calculation, Theory for Error Analyzing and Data Processing, the author has established the mathematical models of the new method, which has included the analytic mathematical model for precision orientation, the mathematical model for the ball's diameter and the measuring diameter, the mathematical model about the ball's centre, the calculation model for tooth alignment diviations and the model for tooth alignment error evaluation.

本文综合应用空间解析几何学、啮合原理、计算方法、误差理论与数据处理等有关基础理论，推导建立了新方法的数学模型，包括：确定定位关系的解析法数学模型，测球直径与测量半径的数学模型，测球球心的数学模型，齿向偏差的计算模型以及齿向误差的评定数学模型等。

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。

Mathematical model 3.7, 3.16 and 3.30 are the mathematical model of a equilibrium population, and they can be converted into mathematical models of panmixia population and nonequilibrium selfing population.

它可以转换为随机交配群体的数学模型和非平衡自交群体的数学模型。

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。

During the study, in order to decrease the complexity, the article simplifies the geomorphic process, defines the ideal state, and, according to the geomorphic principle, reasons out some of the 4-Dimensional Geomorphic Mathematical Sub-Models that include the 4-Dimensional Tectonic Geomorphic Mathematical Model, the 4-Dimensional Depositional Geomorphic Mathematical Model, and the 4-Dimensional Denudate Geomorphic Mathematical Model.

在研究过程中，为了减低复杂程度，简化了地貌过程，规定了理想条件，并根据地貌学原理推导了部分理想条件下的四维地貌数学模型，分别是四维构造地貌数学模型、四维沉积地貌数学模型和四维剥蚀地貌数学模型。

Aiming at a class of complex electromechanical systems, such as 4-high or multi-high cold mills and continual mills, we firstly construct mathematical models of every subsystems by means of structural principle modeling method; nextly, get the overall mathematical model of electromechanical drive system by joining together these subsystems'models according to coupling variables and parameters; we finally simplify the overall model according to time-scale principle which can retain main eigenvalues and significant state variables, and obtain a practical mathematical model of complex electromechanical system. By simulating the CM04 temper mill's model constructed by above-mentioned method, we test and verify that the modeling method is effective and practical. The study analyzes and researches the electromechanical coupling facts and acting laws existing in complex electromechanical system.

提出了系统的总体测试方案，设计了高保真度的信号隔离和缓冲器，解决了从大功率、大电流复杂机电系统主回路中提取真实谐波分量、而又能不影响系统正常运行的难题；发现了谐波电流对平整机工作状态的影响规律；确认谐波电流是可能引起平整机工况奇异、产生机电耦合振动、导致带材产品表面出现明暗振纹的一个因素；提出了一种多相整流电路谐波电流的分析计算方法，用该方法对平整机三相桥式整流供电电路的谐波分量进行了理论分析和计算，计算结果与实测结果能得到相互验证，说明该方法是可行的，实测结果是可靠的。

The writer conceptualizes the hydrogeol ogical model, and the corresponding three dimension mathematical model has been built,the Finite Difference Method is used to solve the mathematical model. After calibration and verification of the model, the adopted geology parameters basically accord with the concrete hydrology geology condition.

模型校正结果表明所建立的数学模型具有较好的拟合程度，所确定的地质参数基本符合本地区的具体水文地质条件，可以用于本区地下水资源评价。

Therefore, the study is significant both theoretically and practically. As a result, the studying aim of this paper is to establish a practical and complete system for the prediction of ship maneuvering motion, taking into account of the influence of the environmental factors, such as the wind, wave and current, establish a practical and complete system for the prediction of ship maneuvering motion. In this paper, the OpenGL virtual reality simulation technique is introduced into the field of ship maneuver and control, and using the MMG mathematical model, the three dimensional dynamic simulation system of the ship motion is established and good results are achieved. In the process of the system development, firstly, the maneuvering motion equations for ship in the still water are established, based on the MMG module mathematical model and serial experimental result. After compiling the program, the calculation results are compared with the experimental data, the coherence between them validate the mathematical model.

在系统开发过程中，首先采用MMG分离式数学模型及相关的系列化试验结果，建立单桨单舵海洋运输船舶在静水中的船舶操纵运动方程，并编制计算程序，经与试验结果比较，证实了计算结果的正确性；为了解MMG数学模型中模型参数变化对操纵性指数的影响程度，作者在上述已有程序基础上，对有关模型参数进行偏移修正，探讨了相应参数变化后的操纵性指数，对船舶操纵性指数对模型参数的灵敏度进行了详细的分析与探讨，所得结论与工程实际相吻合，具有实际应用价值，并为进一步提高船舶操纵性预报的精度打下了基础；然后，在已有的船舶静水操纵运动模型基础上，考虑双桨双舵的影响，建立了内河双桨双舵船舶的操纵运动模型；最后，综合考虑风浪流作用力的影响，进行了船舶的操纵运动仿真计算。

This is not an ordinary box, which is used as a background picture of the dialog box, very pretty.

详细说明：这可不是一个一般的对话框，它是用图片作为背景的对话框，非常好看。

Conceal me what I am,and be my aid for such disguise as haply shall become the form of my intent.

遮掩我的身份，帮助我，我的面具将成为我的目的。