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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。

There are fourteen chapters, including introduction, plane stress and plane strain, two-dimensional problems in rectangular coordinates, two-dimensional problems in polar coordinates, photoelastic and moire experimental methods, two-dimensional problems in curvilinear coordinates, analysis of stress and strain in three dimensions, general theorems, torsion, bending of bars, axisymmetric stress and deformation in a solid of revolution, thermal stress, the propagation of waves in elastic solid media, at last there is an appendix on the application of finite-difference equations in elasticity.

全书共十四章,包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播,最后有一附录,讲述差分方程在弹性理论中的应用。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分:第一章介绍了基本的背景、研究进展和文章主要采用的方法;第二章研究的是有两个服务员共享的简单的排队方式的模型,即每个服务员有各自的队列,两队队长互不相关,分析了代表两个队长的二维马尔柯夫过程,推导出了二维过程的平稳分布的母函数的方程,并运用Riemann—Hilbert边值问题理论解出了母函数的表达式;第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing),模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

98 Raster scan: A mapping of a rectangular two-dimensional pattern to a one-dimensional pattern such that the first entries in the one-dimensional pattern are from the first top row of the two-dimensional pattern scanned from left to right, followed similarly by the second, third, etc.

光栅扫描:将二维矩形映射到一维。一维的开始为二维的顶行,按照自左至右的方式依次扫描,第2、3…。。

On the computer screen is a two-dimensional, and we were able to appreciate the really as like-kind three-dimensional image displayed on the computer screen, because the color gray when different people produce the visual illusion of eyes, while the two-dimensional Perception of three-dimensional images on the computer screen.

是在电脑屏幕上一个二维的,我们能够体会到真正的喜欢实物的三维图像在计算机屏幕上显示的,因为颜色灰时,不同的人产生视觉错觉的眼睛,而两个立体知觉三维图像在计算机屏幕上。

The researcher points out the analytic methods and steps then uses the two-dimensional hydrodynamic model to analyze the simulation of watercourse. There are three two-dimensional hydrodynamic models (inclusive of the RMA2 model, HIVEL2D model and FESWMS model) which are included identical range and limitation in our graduate school. The researcher chose the two-dimensional hydrodynamic model as the proper tool which can be used to simulate the flowof the old street stream. Researcher will transvaluation the retaining ability of the watercourse and consider the practice requirements to make the proper govern suggestion, furthermore, the results can be used as the reference of relative principles.

本研究旨在提出分析方法与步骤,使用二维水理模式作一河道模拟分析,由於本研究所介绍三个二维水理模式(包含RMA2模式、HIVEL2D模式、FESWMS模式)均有其适用之范围以及限制之条件,故本研究选定一适合模拟老街溪之二维水理模式作为水理分析之工具,藉由分析之结果,重新评估该河段之防洪排洪能力,并就实际整体防洪需求做妥善的治理建议,使研究成果能提供相关对策之参考。

One-dimensional linear projection methods includes Eigenface method and Fisherface method and so on.Two-dimensional linear projection methods includes two-dimensional principal component analysis and two-dimensional linear discriminant analysis,as well as a series of their expanded methods and so on.

其中,基于一维线性投影的方法包括特征脸方法和Fisher脸方法等;基于二维线性投影的方法包括二维主成分分析和二维线性判别分析,以及它们的一系列拓展算法等。

The previous work on the SKAWs was extended from the one-dimensional case to the two-dimensional case, and it was showed that the two-dimensional SKAWs with the dipole vortex structure have some important unique properties that the one-dimensional model of the SKAWs can not expect.

为了解释这一现象,将前面关于SKAW的工作从一维情行推广到二维情行,发现二维SKAW具有涡旋结构而且具有一些一维SKAW所不具备的特征。

For example, zero-dimensional, one-dimensional line, the two-dimensional surface, three-dimensional three-dimensional, and even four-dimensional space-time.

比如,零维的点、一维的线、二维的面、三维的立体、乃至四维的时空。

For example, the zero-dimensional, one-dimensional line, the two-dimensional surface, the three-dimensional to three-dimensional, as well as four-dimensional space-time.

比如,零维的点、一维的线、二维的面、三维的立体、乃至四维的时空。

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