多变量的

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。

Secondly, in our methods, the essential geometry of the image single axis geometry may be specified by six parameters and this may be estimated from one conic and one fundamental matrix (a total of 12 parameters) or may be minimally estimated from two conics (a total of 10 parameters).

本文证明了单轴旋转运动的不变量可以通过一个基本矩阵和一条二次曲线来确定，在这种情况下，由于基本矩阵的自由度为7，二次曲线的自由度为5，所需确定的参量个数仅为12，大大减少了不变量的计算量；本文同时证明单轴旋转运动的不变量可以通过最少两条二次曲线来确定，在这种情况下所需确定的参量个数仅为10，该方法是目前同类算法中参数最少的；本文提出了用多条二次曲线求解单轴旋转运动的不变量的最大似然估计算法，其所需确定的参量个数为6+2n，其中n为二次曲线的个数，该公式更深刻地反映了二次曲线与不变量的参数关系。

If the number of variables or arrays being added with ADDITIVE plus the number of existing variables exceeds the variable limit, Microsoft Visual FoxPro brings as many variables and arrays as possible into memory from the variable file or memo field.

如果使用 ADDITIVE 时，要添加的内存变量或内存变量数组的数目加上已有内存变量的数目超过了系统对内存变量数目的限制，Visual FoxPro 将从内存变量文件或备注字段中恢复尽可能多的内存变量和内存变量数组。

The problem of PI controller design for the multi-input and multi-output system is transformed to that of static output feedback controller design via the new state variable. As to the problem of the static output feedback, a new LMI-based sufficient condition of the controller is presented in this thesis. We can gain the multivariable PI controllers just solving one LMI inequality. The numerical example is provided to illustrate the proposed design approach. 3.The H_∞ robust control is able to solve the multivariable problem, also the control problem characteristic of the modeling error, parameters uncertainties and unknown perturbation, Its application research in the power electronics is beginning now. Considering the characteristics of the PWM DC-DC converters, a multivariable PI controllers which is based on H_∞ Performance Index is designed.

通过构造新的状态变量，可以将多输入多输出系统的PI控制器设计问题转化为静态输出反馈控制问题，利用后者的成熟理论来设计控制器；本文在问题转化后采用更为简便的算法，只需通过求解一个LMI不等式，就能求取基于H_∞性能指标的多变量PI控制器参数，实例验证了算法的有效性。3.H_∞鲁棒控制具有处理多变量问题的能力，可解决具有建模误差、参数不确定和干扰未知系统的控制问题；它在电力电子学中的应用研究刚刚开始。

As Legendre integration is one of Gauss integration, it is nature to apply the others Gauss integration into stochastic FEM.

为了减少在多随机变量情况下的该方法的计算量，建立了一种简化算法，推导出利用单随机变量的响应结果构造多随机变量的响应。

By using the transfer matrix method of multibody system, the hard problem of computation of the vibration characteristics of LRMLRS coupled with rigid bodies and elastic bodies is solved which is very difficult to the ordinary dynamic methods, and the vibration characteristics of LRMLRS which is varied when the number of rockets in the launch device is varied, is obtained conveniently. By developing augmented eigenvectors of the LRMLRS and its orthogonality conditions, the nonorthogonality problem of the multibody system including rigid bodies and elastic bodies is solved and the exact analysis of the dynamics response of the LRMLRS including rigid bodies and elastic bodies is realized. By using the random integer programming method, the hard optimization problem which contains continuous variables, discrete variables and random variables at the same time is solved. This method provides a technology for optimum design with random variables and discrete variables. The dynamic optimum design is realized to decrease the number of rockets consumption in the LRMLRS test. The simulation system of dispersion of fire is established by using the maximum entropy method to estimate dispersion of fire.

通过应用多体系统传递矩阵法，解决了刚弹耦合远程多管火箭多体系统振动特性这一通常力学方法不便于解决的计算难题，方便地获得了远程多管火箭振动特性及其随发射架上火箭弹个数变化而变化的情况；通过构造增广特征矢量及其正交性条件，解决了刚弹耦合多体系统特征矢量不具有通常意义下的正交性的难题，实现了对刚弹耦合远程多管火箭动力响应的精确分析；应用随机整数规划法，解决了同时考虑连续、离散和随机变量等多种设计变量的优化设计难题，为含随机和离散变量的优化设计提供了手段，实现了减少远程多管火箭试验用弹量的动态优化设计；建立了应用最大熵法估计的密集度仿真系统，优化射序和射击间隔，实现了提高远程多管火箭射击密集度的动态优化。

So long as the sample data are inputted,the computer may carry out their correlation analysis between variables,the standardization of data,and draw their constellation diagram and contiguous vector diagram,which are clear and convenient for the user.

星座图与连接向量图是多变量统计的直观方法，可用于多变量样本或多变量指标的聚类分析。

In this study, the methodology of linear structural rela- tionship model of latent variable has been studied which is the first time in China. Some extended conclusions have been come up to, such as multi-factor congeneric measure model, the reliability of measurable variable and its hy- pothesis test, the relation between standardized solution and unstandardized solution, multidimensional path model with measure errors, and multilevel model of latent vari- able. Some examples have been shown to help apply these results in practice, such as the analyses of the children growth-development data, the bone density data and the health resources data by means of latent variable model. Not only have new explanations for these data been achieved, but also powerful patterns for applying the theoretical methods in medical sciences and other fields.

首次系统地研究了潜在变量的线性关系模型，对部分已有的结论作了有益的推广，如：多因子度量模型、观测变量的可靠性及其假设检验、标准解与非标准解的关系、有度量误差的多维通径模型、以及多水平资料的潜变量建模；并用实例阐述了它们的具体应用，如分析了儿童发育调查资料、人体骨骼密度调查资料以及卫生资源利用效益评价资料，不仅获得了这些资料本身一些新的解释，也为本文所研究的理论方法在医学科研以及其它领域科研中的应用提供了例证，也便于广大医学工作者掌握。

The effect of iner- tia weight factor on performance of PSO is discussed.The results show that the particle swarm optimiza- tion algorithm with nonlinear inertia weight factor is suitable to solve multivariahle optimum design prob- lem...

结果表明，带动态非线性惯性因子的微粒群算法对求解多变量的干燥优化设计问题具有方法简单、所需微粒群规模小、收敛速度快等特点；采用部分废气循环并进行优化设计对干燥系统的节能具有十分重要的意义，对湿空气出口温度和废气循环比进行优化设计，其年总费用比无废气循环的常规设计节省18.2%，比循环比为0.2时的常规设计节省12.6%。

More importantly, we propose a data-dependent parameterization method in which optimal parameterization in the lighting and viewing space that minimizes the modeling error is obtained.

我们使用了多变量的球面迳向基底函数核心当作我们双向贴图函数模型的核心并且使用了资料相关的重新参数化方法得到在光源及视点空间的最佳参数以增进我们双向贴图函数模型的近似度。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。