数学模型

The rapid solution for this model can be obtained by the modified overrelaxation method and simulation results agreed well with the experimenal data.

在实验基础上建立了该过程的数学模型，采用超松弛法，并以动态方程逼近计算稳态过程对模型进行了求解，计算结果与实验结果吻合良好。

The effect factors model of library knowledge transfer mainly adopts analytic hierarchy process, analyzes the interaction factor of the main factors that affect the library knowledge transfer, and constructs the paired comparison matrix. This kind of method availably avoids the intersect effect of vary level factors, and establishes the mathematical model of effect factors of library knowledge transfer.

图书馆知识转移的影响因素模型采用层次分析法，通过分析影响图书馆知识转移的主要因子之间的相互作用关系，构造成对比较矩阵，有效避免不同级别因素间的交叉影响，建立各个因素对图书馆知识转移影响的数学模型。

The 2D affine projection model is analyzed from geometrical relation of parallel projection, the conversion of projection, the foundation of strict mathematical model of 2D affine. The characteristics of 2D affine projection are illustrated by experiments.

从平行投影的几何关系分析、投影性质的转换、严格仿射变换数学模型的建立等方面，深入研究了基于仿射变换的传感器模型，给出了实验结果和分析结论。

Put the individual diversity and following behavior into account, with phototaxis and following behavior of two evacuation model parameter, produce the Ant Colony Algorithm Mathematical Model of High buildings pedestrian evacuation.

根据蚁群算法的基本原理及Ant-Density模型，综合考虑了火灾时期人员的个体差异和从众行为，利用信息素和禁忌表等指标将趋光趋众2个疏散模式参数化，建立了高层建筑人员疏散的蚁群算法数学模型。

In development of these programs under cylindrical coordinates, the singularity at the pole and transfer phenomenon across the pole were studied deeply and a numerical method which has made these programs efficient in 3D function was advanced and employed to eliminate the singularity by setting up a special mesh at the pole on the polar plane.

针对炼钢生产钢包吹气搅拌精炼工艺，本论文从开发数值仿真程序入手，分别对吹气搅拌条件下钢包金属熔池体系的流体流动、传热和传质、夹杂物碰撞长大和排除等传输现象进行了数学模型或物理模型研究。

This article first discusses the practical significance of the control system of nonlinear population parameter and builds its mathematical model, such proving the mere existence and the stability of the answer of the systematic model.

在文中，首先论述了非线性人口分布参数控制系统的实际意义，并建立了非线性人口分布参数系统的数学模型；进而证明了系统模型的解的存在惟一性、解的稳定性。

Mathematical models of shearer parameters and noise of coal working face, shearer parameters and temperature of coal working face were established according to appropriate hypothesis and predigestion. Based on established models, corresponding simulation programs were compiled, and simulation research was proceeded.

通过必要的假设与简化，建立了采煤机参数与工作面噪声和温升之间关系的数学模型，编制了相应的计算机模拟程序，利用所建模型进行了模拟研究。

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.

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。

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。

On the basis of the research on the lower beam structure of the hydraulic presser,based on 3D solid element,its finite element model and mathematical model of structure OPT have been established.

在对某液压机下横梁结构研究的基础上，选用实体单元，建立了下横梁的有限元模型和结构优化数学模型。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷