系数函数

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

According to actual condition, a model of wall thickness of rotary kiln is established. The constant coefficients in the model, including thermal conductivity, heat transfer coefficient, Fourier coefficient and contact resistance, are closely calculated. A formula of contact resistance is draw from a great deal of data of surface and inner temperature of rotary kiln. The wall thickness of rotary kiln is simulated by MATLAB. The simulation result is transmitted from MATLAB to DELPHI through a group of interface functions compiled by VC++. The basic graphs-circle and line are analyzed by the means of the technique of Visualization in Scientific Computing and the Bresenham arithmetic, and are realized the visualization of the wall thickness. The contents of communication between master computer and slaver computer are designed and the error control technique, the idea of multi-thread and the embedded assembly language are applied to realize the temperature data transmission and graph transmission, which largely improved the speed of transmission and the reliability and stability of system.

建立了符合现场实际的回转窑壁厚数学模型；结合现场采用红外测温仪测量所得的温度数据和回转窑的实际结构数据，确定出适合该模型的定常系数(包括导热系数、换热系数、傅立叶系数、接触热阻等)，并得出与回转窑工况的相近的接触热阻公式ln=T~(0.5154)-36.7868；利用MATLAB软件仿真出回转窑壁厚，并将运算结果通过在VC++的编译环境下编译出MATLAB和DELPHI的接口函数传输到该监测系统中，实现了温度数据的转换和交换；运用科学计算可视化技术和Bresenham扫描转换算法对基本图形——圆和直线进行分析，从而实现了仿真后的壁厚数据可视化；在研究异步串行通信方式的基础上，设计了该系统上下位机功能和通信内容，并运用差错控制技术、多线程思想以及嵌入式汇编语言实现了温度数据和图形数据在上下位机之间的远程传输，提高了数据传输的速率和系统的可靠性、稳定性。

First of all,we have given some of the basic concepts of differential equations, described the constant coefficient linear ordinary differential equation solution, for a class of second-order variable coefficient linear ordinary differential equation initial value problem, an approximate solution, the method is first unknown function of a definition for N sub-interval, and then in between each district within a constant coefficient ordinary differential equations similar to the replacement, the solution has been the problem as similar to the original analytical solution, and then gives a detailed second-order change order coefficient of linear homogeneous ordinary differential equation solution examples, the examples of the approximate method proposed in this paper is valid.

首先给出了微分方程的一些基本概念，讲述了常系数线性常微分方程的解法，针对一类二阶变系数线性常微分方程初值问题，提出了一个近似解法，本方法是先对未知函数的一个定义区间作N等分，然后在每一个小区间内用一个常系数常微分方程近似替换，所得到的解作为原问题的近似解析解，随后详细给出了一个求二阶变系数齐次线性常微分方程的解的实例，该实例说明本文提出的近似方法是有效的。

In incorporation with Jilin province science and technology department item "Study of Industry Technological Advance Systemic Effect and Frame of Jilin Province industry Technology Incidence Establishment", about national interindustry incidence relation ,research is carried out in the paper as follows:On the base of national 1997 years input-output production table ,figures out direct consumption matrix of coefficients and matrices of middle input rate.

本文结合吉林省科学技术厅课题《产业技术进步系统效应及吉林省产业技术关联表编制框架研究》对我国的产业关联关系做了如下研究：在我国1997年投入产出表的数据基础上，计算出直接消耗系数矩阵及中间投入率矩阵，并将图分析法用于产业间关联关系的研究中；在计算完全消耗系数矩阵后，计算出各产业部门的感应度系数和影响力系数，并做了波及效果分析；本文经过对各种测算技术进步方法的比较，首次采用前沿生产函数中的数据包络分析方法分析投入产出模型中的产业间技术关联；机械设备制造业具有较高的物质关联性和技术关联性，同时波及效果显著，把含有高新技术的机械设备制造业作为主导产业发展，可以提高整个工业的技术装备水平。

The mathematic model for optimization of the design parameters of cycloidal pump with singularity type of profile was proposed.

提出了异形齿廓摆线泵的优化设计数学模型，以单位体积排量最大为目标函数，以泵的连续传动条件、密封条件、强度条件为约束函数，创成系数和弧径系数为设计变量。

Based on the experimental data of low (less than 13) ionization energy of lighter elements, the function of shielding coefficient, electronic states and atomic number is summarized when the atom ionizes electron in different electronic state of the second and first shell.

依据较轻元素原子低次（小于13）电离能实验数据，总结出原子电离第2、1壳层不同电子态电子时，相应的屏蔽系数与电子态及原子序数的函数关系，根据该函数关系，可求出相应原子的高次电离电子的屏蔽系数。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上，利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系，我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性，首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式，进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性，得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

As same as the above-mentioned reason, because theconditions at the inside straight boundary of the binarycomposite material can not be easily satisfied, here, anelastic circular inclusion with large radius is used to replacethe upper half space of the binary composite material, so the〓mary binary composite mater ial problem can be changed〓the scattering problem of a circular elastic inclusion andto the scattering problem of a circular eastic inclusion and〓circular cavity in an infinite space to the steady incident〓wave.

与前面两个问题的理由一样，同样，由于问题中双质复合材料的内部直边界上的边界条件不易解析满足，为此，本文采用了一个半径很大的弹性实夹杂来代替问题中双质复合材料的上半空间部分，而将原来的双质复合材料问题转化成了无限大空间中一圆形弹性夹杂和一圆孔对稳态P波的共同散射问题，根据该问题的特点写出了弹性夹杂内外波场中波函数的一般形式解，利用该问题中夹杂和圆孔处的位移和应力的连续条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了双质复合材料中圆孔边界处的动应力集中系数随不同入射角、圆孔的不同位置、以及入射波的不同无量纲波数的变化和分布情况。

Firstly, the single-phase flow field of a typical NACA cascade was calculated and the predicted pressure coefficient has good agreement with the experimental data.

文中首先采用不同的壁面处理方法（标准壁面函数法和两层区域模型法）计算了一典型NACA叶栅内的单相流场，两种壁面处理方法得到的压力系数与实验数据符合很好，两层区域模型在前缘处的压力系数好于标准壁面函数法，与实验数据更接近。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。