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At the same W/C condition, ocean-sand (standard and non-standard) is mixed, non-standard ocean-sand shall have more compressive strength than standard ocean-sand about 10%, Add slag additament to motor test sample of ocean-sand mixing, bending strength shall be according to slag additament, but 40%~60% slag additament shall be quite obvious. Motor test sample of ocean-sand mixing shall be compared type Ⅰ cement with type Ⅱ cement, to make use of type Ⅱ cement to motor test sample of ocean-sand mixing shall have more compressive and bending strength about 10%, Rising of strength is best among non-standard sand mixing.

若添加炉石於海砂所拌和的水泥砂浆，其抗弯强度会随著炉石添加量的增加而增加，以40%~60%的炉石替代量为最佳；以第Ⅰ及第Ⅱ类型所拌和的海砂水泥砂浆试体做比较，依晚期强度而言，第Ⅱ类型水泥所拌和的试体，其抗压及抗弯强度比第Ⅰ类型水泥约高出10%左右，其中以非标准砂所拌和的试体强度上升最大。

This paper is expanded into three main parts to study and analyze the stock time series.1 Through the normality tests, All the sample stock-data curves show different phenomenon of Aiguille and Fat-tail, as well as Left-Deviation, which proves that none of the sample series belong to normal distribution, in other words, the linear method can't be applied into the analysis process, so we adopted the R/S method instead.2 The application of R/S method has verified the long-term memory characteristics of the sample series, and Support Vector Regression is combined to enhance the precision of Average circle period.

文中对股票时间序列从以下三个方面进行了研究和分析：1通过正态性检验，发现各样本股票数据均表现出不同程度的尖峰和胖尾以及左偏现象，证明了所有的样本序列全都不属于正态分布，也就是说明它们不能够适用线性方法进行分析，必须采用重标极差分析方法的非线性方法。2应用R/S分析方法验证他们具有长期记忆的特性，并且结合支持向量回归机提高了测定平均循环周期时的精确性。

Topics include permutation tests, permutation limit theorems, 2-sample rank tests and their asymptotic efficiency, k-sample rank tests, 1-sample tests of location, paired comparisons, rank tests for symmetry and independence, and analogues of linear modeling based on ranks.

包括排列检验，排列极限理论，两样本秩检验及其渐进有效性，k个样本的秩检验，单样本的位置检验，配对比较检验，对称分布和独立分布的秩检验，基于秩的线性模型的模拟。

Topics include permutation tests, permutation limit theorems, 2-sample rank tests and their asymptotic efficiency, k-sample rank tests, 1-sample tests of location, paired comparisons, rank tests for symmetry and independence, and analogues

包括排列检验，排列极限理论，两样本秩检验及其渐进有效性，k个样本的秩检验，单样本的位置检验，配对比较检验，对称分布和独立分布的秩检验，基于秩的线性模型的模拟。

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

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 traditional Canonical Correlation Analysis based image recognition methods always encounter the Small Sample Size problem,which is due to the size of sample and less than the dimension of sample.In order to solve this problem,a new supervised learning method called Two-Dimensional CCA（2DCCA） is developed.

针对传统典型相关分析（Canonical Correlation Analysis，CCA）的图像识别中出现的小样本（Small Sample Size，SSS）问题，提出二维典型相关分析（Two-Dimensional CCA，2DCCA）。

Three 30 m×30 m sample fields were designed to investigate different vegetation type, and the species and the number of arbor in the sample field were noted. Meanwhile, four 2 m×2 m plots were designed in the catercorner of sample field to investigate the species and the number of shrub and herbage.

方法］对不同植被类型设置3个30 m×30 m的样地进行调查，记录样地内所有乔木树种的种类、数量，并记录奇胸径和株高；同时，在样地对角线设4个2 m×2 m的样方调查所有灌木和草本的种类和数量。

The cyclic alternating magnetic field realizes cyclic and dynamic magnetization of the magnetic sample. After the cyclic laser narrow pulse train reacts with the magnetic sample, polarization of transparent lights or reflected lights of the pulse train will change to measure magnetization variation of the magnetic sample.

周期交变磁场使磁样品被周期动态磁化，而周期激光窄脉冲列与磁样品作用后，由于磁光效应，其透射或反射光的偏振态将发生变化，度量磁样品的磁化变化。

In a special case of 2 dimensional variables, the probability of the positive definitiveness of the discrete sample covariance matrix is given in term of sample size and variable dimension. Based on the results, the optimal sample size is provided in this thesis.

推出了离散型样本协方差矩阵正定的充要条件，得到了求离散型样本协方差矩阵正定概率的模型，建立了特殊情况下的抽样优化模型。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。