极限

In a certain period, the probability and expected value of critical drought duration got larger with the in crease of first-order auto-correlation coefficient and skewed coefficient, especially with first-order autocorrelation coefficient. The return periods of consecutive 11-year drought in North Luo River and Jing River were 1000 years.

在一定时期内，极限水文干旱历时的发生概率和数学期望随一阶自相关系数、偏态系数的增加而增大，且一阶自相关系数对极限水文干旱历时概率分布影响较为显著；泾河和洛河发生连续11年干旱的重现期均为1000年。

Using the improved model, an ultimate bending moment formula is presented.

在梁的极限分析中采用新的刚塑性模型，推导出极限弯矩公式。

The dynamic stability of this system is discussed by the Hopf bifurcation theory and the condition of the limit cycle occurring is given.

应用Hopf分岔理论讨论了时滞动力系统动态稳定性，给出了系统产生极限环的条件，最后用数值模拟的方法研究了时滞参数对系统极限环幅值的影响。

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。

The limit deepness of deep bore-hole with mud dado in the soils is calculated and analysed by adopting theory of limit analysis .

利用极限分析原理对土体中泥浆护壁深钻孔的极限孔深问题进行计算研究。

Then, method for calculating ultimate bearing capacity of element of SFRC with steel bars which is unified by introducing the concept of strengthening item which is related to the characteristics of steel fibre andconcrete, has been studied.

本文对配筋钢纤维混凝土构件极限承载力的计算方法进行了研究，引入与基体强度有关的增强项的概念使配筋钢纤维混凝土构件极限承载力的计算方法得到了统一。

According to the comparing of ultimate load carrying capacity in finite element analysis, calculating and static tests, the results are matched, which shows that, it's feasible to simulate the new type of light gauge steel system studs under press using finite element analysis.

通过比较有限元分析和试验分析以及解析计算得到的极限承载力发现，三组极限承载力的值吻合；有限元分析得到的柱的屈曲模式和破坏情况与试验的结论相符。说明用有限元的方法模拟分析轻钢龙骨体系柱的轴压承载能力的方法是正确、可行的。

Moreover if f is aperiodic, then f satisfies the local multidimensional central limit theorem.

在第三章中，对于满足某些条件的向量值的观察量，我们证明了多维中心极限定理和局部中心极限定理成立。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and

本课程主要介绍函数和极限，一元微积分和它的应用，ABC级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and parametric estimation, variance analysis, regression analysis.

Advanced Mathematics 1 [Course Code 1040008 MAT114] 本课程主要介绍函数和极限，一元微积分和它的应用，ABC 级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。