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A virtual stochastic process is constructed so that the basic random variable becomes the value of the stochastic process at certain instants of time.

在此方法中,构造一个与基本随机变量相关的虚拟随机过程,使得基本随机变量成为该随机过程的截口随机变量。

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。

In presented method, the correlated variables are transformed into uncorrelated variables equivalently, and the performance functions in the correlated variables space are transformed into those in the equivalent uncorrelated variables space, in which the reliability sensitivity of the system failure probability with respect to the distribution parameters of the uncorrelated variables can be solved by the moment method for the uncorrelated variables. Finally the equivalent relationship between the correlated variables and the uncorrelated variables, the chain rule for derivative are employed to obtain the reliability sensitivity of the system failure probability with respect to the means of the correlated variables.

在所提的方法中,首先将相关变量空间等效转化为不相关变量空间,并将系统多个失效模式的功能函数转化为不相关变量空间的功能函数,进而利用矩方法得到多模式系统失效概率对不相关变量空间基本分布参数的灵敏度,最后利用相关变量空间与不相关变量空间的等价关系及复合函数求导法则,求得多模式系统失效概率对相关变量空间中变量均值的灵敏度。

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。

We should take the economic system and the system of natural resources as a whole, which make a country to pay attention to the protection and the sustainable use of natural resources. The finiteness of natural resources let us think the sustainable development of economy.

从经济角度而言,资源永远是稀缺的有价的,它是生产函数的基本变量,自然资源的禀赋及供给情况决定了一个国家的经济增长路径,将经济系统和环境资源系统作为一个整体来考虑,就要求一个国家在发展经济的同时注重本国资源的保护和可持续利用。

With the concept of customer satisfaction,this paper firstly analyzes the government customer satisfaction s connotation,then designs the prepositive and postpositive variables of the government customer satisfaction model according to the factors of economic and literacy level public awareness and the characters of the public sector.

从顾客满意基本概念出发,通过对政府顾客满意的基本内涵进行分析,根据我国的发展水平、经济体制、社会文化、公众意识等因素及公共部门的特点,就符合我国国情的政府顾客满意度评价的前置变量与后置变量的设置及其对应的观测变量开展研究。

Robust programming is, as stochastic programming, an attempt to capture uncertainty in the data underlying the optimization problem.

半定规划是一个子字段的凸优化的基本变量半矩阵。这是泛化的线性和凸二次规划。

It is found that the biases in NCEP1 and NCEP2 turbulent heat fluxes from the biases in the algorithm used in flux calculation in trade wind regions are greater than equatorial regions.

结果认为NCEP1和NCEP2产品中,由算法所带来的误差在信风区远远大于赤道区;在信风区,由算法所带来的误差是基本变量所带来的误差的3-4倍,在赤道区,为1-2倍。

Fifth, in the framework of Gravity Model, the basic variables such as economic scale and distance have significant impact on the development of Chinese foreign trade as expected.

五、基于贸易引力模型的分析表明,经济规模和距离等基本变量对中国出口贸易具有显著的影响,并且符合预期。

In the Ashtekar theory,tetrads and complex self-dual connection one-formsare considered as fundamental field variables of four dimensional gravity.

阿西特卡理论是以标架和复自对偶联络一次形式作为描述引力场的基本变量

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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