数学模型

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。

There are two kinds of division laws: the model of simultaneous division and tree-like division. To use this method on engine, the mathematics model of fuel atomization carrying charge is established.

液滴荷电后分裂具有一定的规律，传统的数学模型可分为假设液滴分裂一次完成的数学模型和树状分裂数学模型，而考虑到发动机上的实际雾化情况，本文建立了燃油带电荷辅助雾化的数学模型。

For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

For single-layer fabric, weaves are re-grouped for the purpose of mathematical description, and they fall into three groups: regular weaves, pre-regular weaves and irregular weaves. And then the mathematical models of every group are established, the parameters and the qualifications of weaves automatic generation are offered too. For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

Based on contraction mapping theorem of analysis mathematics, the non-steady flow mathematical model of mine ventilation network was analyzed.

利用分析数学的压缩映射原理，对矿井通风网络非稳定流动数学模型进行了分析，得出了数学模型数值解收敛的条件，确定了以惯性系数排序选择最小生成树的回路选择方案，为矿井通风网络非稳定流动数学模型数值解的收敛性提供了理论依据。

According to the definition of axis straightness error ,a mathematical model was developed to evaluate axis straightness error by way of least square method in the rectangular coordinates.

根据轴线直线度误差的定义，建立了在直角坐标采样时该项误差的最小二乘评定法数学模型，该模型的采样数据不需要等角度间隔采样；并用计算机进行仿真分析·结果表明，所建立的数学模型编程简单，计算出的轴线直线度误差值与真实情况的误差小于 10 -6μm·因此由本模型引入的误差可忽略不计·所建立的数学模型为研制形位误差虚拟测量系统提供了理论基础

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。

Step 3.4.4: Financial Modeling 步骤3.4.4:财务模型步骤: Process: Using mathematical models containing low-case,expected-case and high-case assumptions, Hewitt consultants will produce projected financial outcomes of the programs.

w 程序：通过使用包含有各种设想的数学模型，程序：通过使用包含有各种设想的数学模型，翰威特的咨询顾问将确定这些方案的预期财务结果。财务结果。

Through studying the math model and "man- plane-environment" operation system model, we analysed the usage range and virtues and defects of transmitting function model of human, optimal con- trol model and fuzzy control model;After analysing "man-plane-environment" operation system, com- puter simulation, we put forward the man- plane -enviroment operation system computer simula- tion evaluation system to determine the best match between pilot and plane.

摘 要：通过对人-飞机-环境模拟仿真技术中人操作者的数学模型及&人-飞机-环境&操纵系统的数学模型的研究，具体分析了人的传递函数模型、最佳控制模型、模糊控制模型的适用范围及优缺点，并在对&人-飞机-环境&操纵系统的数学模型、性能指标进行分析后，提出了确定驾驶员和飞机之间最佳匹配的&人-飞机-环境&操纵系统计算机模拟综合评估系统，从而使人们一开始设计飞机时就考虑驾驶员作用，减少设计盲目性，缩短设计周期。

On the condition of remote observation and quasi- monochromatic observation,a compact image-plane interference mathematical model is deduced with OAS optical transfer function and the property of Fourier transform.

在观测目标相当遥远及准单色观测条件下，根据光学综合孔径光学传递函数以及傅里叶变换性质建立了一个简化的像面干涉光强分布数学模型，此数学模型的物理含义符合光学综合孔径成像观测的实际情况；根据光学综合孔径瞳面干涉条件，在光学综合孔径像面干涉数学模型的基础上得到瞳面干涉的数学模型。

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。