特征参数

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。

Actually, such a generalized Cauchy distribution was the Pearson VII probability distribution. In this dissertation, the Lorentz distribution was regarded as a generalized Cauchy distribution with only one scale parameter; while the Pearson VII distribution was regarded as a generalized Cauchy distribution with a scale and a shape parameter both.

因此，本文提出应在Lorentz分布的密度函数中再增加一个能够反映分布函数尾部特征的形状参数，希望通过该参数的可调节性进一步改善稀疏编码算法的自适应性。

Therefore, the SR-MUSIC suffers no DOA estimation errors from the estimates of thenoise characteristic exponent and the selections of the FLOM parameters.

该算法不需要FLOM参数p的选择，从而避免了基于阵列共变矩阵和阵列FLOM矩阵的DOA估计方法由于需要噪声特征指数的估计和由于不同参数p所带来的DOA估计误差。

In view of the complexity of mechanical products, the functional characteristic model and the knowledge library of function parameters were established.

在对机械系统的组成进行分析的基础上，建立了功能特征模型和功能参数知识库，运用变功能参数操作，实现了产品功能的变异和扩展以及结构的重构，从而达到产品创新设计的目的。

In view of the complexity of the function of mechanical products, the functional characteristic model and the knowledge library of function parameters were established. Through the function parameter mutation operation, then function and structure of products were modified and generated.

在对机械系统组成进行分析的基础上，建立了功能特征扩展和功能参数知识库模型，运用变功能参数操作，实现了产品功能的组合、变异和扩展，并使得产品结构相应的发生改变和重构，从而达到产品创新设计的目的。

Based on characteristic set, the case of infinity parameters is described by using of finite value and functions.

在特征集的基础上，讨论了其参数导数的构成情况，用有限个点和函数表示了无穷个参数导数的情形。

Well and layer selection in refracturing requires integrative consideration of multiple influencing factors such as geologic characteristics, reservoir characteristics, characteristical parameters, testing and production data, etc.

重复压裂选井选层需要综合考虑地质特征、油气藏特性、物性参数、测试和生产数据等多种影响因素，难以用传统的数学方法来描述这些参数间的高度非线性映射关系。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

At last, we analyzed the relations between the parameters of eigenfunction and the nonlinear parameters of pacing rhythm.

最后，对拟合的特征曲线参数和起搏率变异性的非线性参数进行了的相关分析，结果表明二者具有一定的相关性。

The singular distributed parameter system can be converted to a singular system by using the eigenvector function method.

首次研究了广义分布参数系统的不变性条件，利用特征向量函数法将广义分布参数系统化为一广义系统，证明了它们的不变性条件是等价的，同时也指正了某些文献个别结论和证明

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。