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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 is a small action range in archery.Simple methods and analysis is inadequate,so the author,on the basis of testing the archery athletes in national team with the Qualisisy infrared photoelectric testing system,Footscan sole pressure testing system,Noraxon myoelectricity remote testing system, etc,analyzes comprehensively the action technique of the athletes in national team from the posture,body motion characteristics,body posture equilibrium and stability,distribution of centre sole pressure, myoelectricity characteristics,etc,with the methods of relative software and data statistics.The conclusions and the suggestions are as follows:Conclusion:Firstly,the communality of posture angle,muscle strength,the activation order of main muscle during raising the bow, raising the bow and the timing of the raising could be used as the evaluation index of technique action in archery;Secondly,the length of the time needed in the different periods couldn\'t be used as technique evaluation index since it has no relation with the result.But the time of raising and pulling back the row is relatively fixed,and the time has a positive relation with the archery achievement of the national team in China.Thirdly,the central index of the sole pressure could be used as the reference criterion of selecting athletes and forecasting achievement.During playing archery,the interrelation between the central index of the sole pressure and the achievement is different individually and in different periods.Fourthly,there is low stability of the archery athletes in the front and back direction during the action, caused by the athletes\' posture disequilibrium of dorsal abdominal muscle and non-professional sport shoes..Fifthly,kinematics and electromyography shows that the people on archery in China haven\'t taken the raising and pulling back the row seriously.

射箭的肢体动作幅度小，简单的手段和分析不能满足其需要，笔者结合各种运动生物力学仪器优点及射箭项目的特性，选用Qualisisy红外光点测试系统、Footscan足底压力测试系统、Noraxon肌电遥测系统等对国家队射箭队运动员进行多方位的测试，运用相关软件及数理统计方法，对运动员的射箭动作技术，从射箭动作的姿态构架、肢体运动特点，身体姿态平衡稳定性、足底压力中心分布、肌电特性等进行全面分析，结论及建议如下：结论：第一，姿态角、肌肉用力激活程度、举弓阶段主要用力肌肉激活顺序、举弓、开弓时间等的一致性可作为射箭技术动作评价指标；第二，各动作阶段所用时间的长短不能作为技术评价指标，但举、开弓的时间相对较固定，开举弓时间比与中国国家队射箭成绩正弱相关达到显著性；第三，闭眼状态下足底压力中心单位面积轨迹长与144支箭最好成绩正相关达到显著性，可作为身体素质、选材及成绩预测的参考依据；实射时身体平衡的足底压力中心指标与成绩的相关程度具有个体性差异、阶段性差异；第四，射箭运动员实射时身体在前后方向上的稳定性较差，这与运动员的站立姿态、腹背肌力量的不匹配以及射箭没有专业运动鞋有关；第五，运动学及肌电学都表明中国射箭训练对举弓、开弓阶段的重视不够，背部肌肉用力特征不明显，撒放技术合理性不高。

A series of orthogonal finite element function is presented by group method and finite element method.

正交函数由于其相互正交使得计算量大大地减少，历来为人们所关注，在连续函数中有著名的调和函数，离散分析中有正弦变换和。。。

By the same token, if the non-print, original graphics and text is the fog, then in accordance with the normal exposure for plate burning, part of the light energy is the black metal forming fog bank be reached the lefthand PS photoptic layer of light energy could not make the non-verbal-Visual section photoptic of the entire layer photochemical completely, as developed, some of the failed to photochemical photographicsensitive layer in PS version of the surface, forming a so-called indosinian theinterior.

同样原理，如果晒版原版的否图文局部有灰雾，那么在按变态曝平量举行晒版时，局部平能量被变成灰雾的白色金属银行遮盖、汲取，到达PS版感平层的平能量不克不及使否图文局部底下的不分座感平层不分座爆不收平化学不正答，不纬显影后，有一局部未能爆不收平化学不正答的感平层残留在PS版的暗地，变成所谓的印渍。

As shown by the result, the biomass and astaxanthin content of oceanic red yeast was reduced due to the presence of β-ionone which inhibited the synthesis of carotenoids. The lethality rate of oceanic red yeast would attained 92.3% if 370 mg/L of the β-ionone concentration was contained in the plate medium. The oceanic red yeast mutated by ethyl methane sulfonate was cultured on plate medium containing 370 mg/L of the β-ionone. 200 mutants were randomly screened, positive mutants with increased the biomass, astaxanthin volumetric yield and astaxanthin specific yield accounted for 18% of the total strain, the mutants with higher biomass, astaxanthin volumetric yield and astaxanthin specific yield higher occupied 22.5%, 45% and 46%, respectively.

实验结果表明，在β-紫罗兰酮存在的情况下，由于类胡萝卜素合成受到抑制，海洋红酵母的生物量和虾青素合成量都减少；当平板培养基中β-紫罗兰酮浓度达到370 mg/L时，海洋红酵母的致死率为92.3%；在这种平板培养基上涂布经甲基磺酸乙酯诱变的海洋红酵母，随机筛选200个菌落，结果表明生物量、虾青素体积产率和细胞产率均有所提高的正突变株占18%，生物量、虾青素体积产率和细胞产率的单项指标有所提高的正突变株分别占22.5%、45%和46%。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

It is an important method to improve restoration quality by choosing regular parameter according to local feature of images. For example, the variance of pixel brightness in iterative process is a useful feature.

根据图像的局部特征来选取自适应变化的正则化参数是提高图像恢复质量的一个重要方法，可以根据像素在迭代过程中的亮度变化量大小来选取正则化参数。

When the deformation modulus of soil is logarithmic normal distribution, even if the variation is large, reasonable precision can be obtained by center point method, in which the deformation modulus of soil is normalized equivalently.

对于土的变形模量服从对数正态分布的情况，采用将其当量正态化后的中心点法即使在参数大变异的情况下也可以获得理想的计算精度。

Finally, the physical index and compression index of silty soil from Yangtze Basf project are divided to three groups according to depth, then characteristic statistic are calculated to physical and compression index of three groups and mechanical index of all depths. After that, normal distribution 、 logarithmic normal distribution and extreme I distribution are fitted for physical and mechanical indexes. And Goodness-of-fit testing with X~2 method is done subsequently.

最后，将扬子巴斯夫工程粉质粘土的物理指标和压缩性指标按照埋深分为三组，计算了不同深度上粉质粘土的物理指标和压缩性指标以及所有深度上抗剪强度指标的特征统计量；然后用正态分布、对数正态分布和极值I型分布对各指标进行概率模型拟合并用x~2法对拟合优度进行了检验。

Here illustrate by examples on the method of choosing and determining physical base and space metric tensor in arbitrary curvilinear coordinate system, the results show clearly that this algorithm of matrix is correct, and show that the algorithm of matrix is really ...

并用示例说明在正交或非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法，所得结果与文献[1]和[2]完全吻合，表明这一方法是令人满意的。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。