等分布

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 distribution of the qualitative characters The performance of the 39 chief qualitative characters were observed and recorded,according to the test method of morphological characters in the .The results of distribution proportion of each character in cultivars group showed that the distribution of 32 characters(number of ray flower rings,floret curliness,shape of leaf base,size of stipule and so on) were very asymmetrical with near or above 70%cultivars concentrated upon one or two performance, however,the distribution of the other 7 characters(floret type,surface color of outer floret,back color of outer floret,color of disc floret,claw in base of sinus between lateral lobes,stem erectness and stem color) in the cultivars group were relatively symmetrical.

质量性状分布参照《菊花DUS测试指南》的形态性状测试方法，观察记录大菊39个主要质量性状的表现，计算各性状的表现式样在品种群内的分布比例，结果显示舌状花的重瓣性、花瓣曲反状况、叶片基部性状、托叶大小等32个性状的表现式样在品种群内分布极不均匀，接近或超过70%的品种集中在性状的1种或2种表现式样中；而花瓣形状、外花瓣表面色、外花瓣背面色、花中心部颜色、叶裂刻基部有无突起、茎的曲直性和茎色等7个性状的表现式样在品种群内的分布则相对均匀。4。

The main work can be summed up as follows: Firstly, we studied the thermal-field properties of VCSELs, and analyzed the influences of current spreading, material parameters and operating conditions on the temperature distributions. Secondly, we began with the electrode voltage and calculated the equipotential s distributions, compared the distributions of voltages and current densities in different depths of VCSELs, and then studied the influences of the oxide-confining region with different position or thickness, and the different sizes of the gain-guided aperture and emitting window on the distributions of the injected current density, carrier concentration and temperature in the active region. Thirdly, we realized the coupling of electricity, optical and thermal-fields, worked out the threshold voltage, calculated the distributions of the injected current density, carrier concentration and temperature under different offset voltages, and analyzed the impacts of temperature profile and carrier density on the refractive index, Fermi levels and optical-field. Finally, we gave the equipotential line distributions with considering N-DBR and double oxidized-confining regions, and analyzed theinfluences of N-DBR and double oxide-confining regions on the distributions of the current density, carrier concentration, temperature and optical-field.

具体工作可以概括如下：首先，研究了VCSEL的热场特性，分析了电流扩展，材料参数和工作条件对于温度分布的影响；其次，从电极电压入手，计算出激光器中的等势线分布，并对不同深度处的电压和电流分布进行比较，研究了高阻区的不同位置和不同厚度、限制层和出射窗口半径的大小对电流密度、载流子浓度和温度分布的影响；再次，实现了电、光、热耦合，求出了阈值电压，计算了不同偏置电压下的电流密度分布、载流子浓度分布和热场分布，分析了温度和载流子浓度变化对折射率、费米能级和光场的影响；最后，给出了考虑N-DBR和双氧化限制层时激光器中的等势线分布，分析了N-DBR和双氧化限制层对VCSEL电流密度、载流子浓度、温度和光场分布的影响。

Results: GLMMs allow the index may be one of the exponential family (Contimuum distributions including Nomal ,beta distribution ,chisquared distribution etc;Disperse distributions including Binomal ,Poisson and inverse Binomal etc), the vecor of expected means of the index is linked to the model parameters by a link function and model the linear equation, simple the calculator procedure.

结果： 广义线性混合效应模型允许临床疗效评价指标是指数家族中任意分布（如：连续分布包括正态分布、beta分布、卡方分布等；离散分布包括二项分布、泊松分布、负二项分布等），可以通过连接函数将疗效指标的均数向量与模型参数建立线性关系，简化运算过程。

From the point of view of geobotany, with the method of correlative factors of growth of plants, a countrywide theoretic ecological division was done for the introduction of Camptotheca acuminata and three kinds of areas of ecological preferent zone, ecological adaptive zone and ecological unadaptable zone were divided. With the theory of synecology, the characteristic on environment, constitution, life form spectrum, diversity, similarity of plots of communities were researched. Applying the method of species association, discrete distribution, indensity index, fractal geometry, etc. to research relations between the species of the communities, space distribution of Camptotheca acuminata, structure of age of Camptotheca acuminata, in different communities. Using the theories of autoecology, distibutons of seeds on land and growth of seedlings in vertical and horizontal directions, biomass of organ of Camptotheca acuminata were analyzed. On the opinions of conservation biology, the external and internal factors impressing Camptotheca acuminata were analyzed to research the mechanism of the endangered species, and with using of CTM Model, the future development direction of Camptotheca acuminata in different communities were forecasted, and. Standing on the position of resources ecology, discussing the regularity of camptothein in Camptotheca acuminata of different sites and seeding of different resources, also the the derive technics of camptothecin.

本文从地植物学的角度，运用植物生长相关因子法，对我国喜树资源的生态适宜区进行了划分，理论上确定了我国的喜树的引种栽培的最适生活区域、生态适宜区域和不适宜生活区域；从群落生态学的角度，对野生喜树所在的典型群落的群落环境、群落组成、群落生活型谱、群落的物种多样性特点、群落样地间相似性进行了研究；从种群生态学的角度，运用种间联结性、离散分布模型、聚集强度指数、分析几何等分析手段，对野生喜树所在典型群落间的种间关系、喜树的空间分布格局、年龄结构等进行了分析；从个体生态学的角度，对不同年龄组的喜树的种子的散落的垂直分布、水平分布、时间分布及种子发芽率和千里重等特点、不同种源的人工喜树苗期特点、喜树的高生长和茎生长特点、喜树的器官生物量特点进行了研究；从保护生物学的角度，对野生喜树的濒危的内部因素和外部因素进行了探讨，并运用CTM模型对不同群落中野生喜树的种群趋势进行了预测；从资源生态学的角度，对我国地理环境下喜树中喜树碱含量的地理分布规律、不同种源的喜树幼苗中喜树碱含量变化规律进行了研究，并对喜树碱的提取工艺进行了探讨。

In order to reduce calculation error, the frequency distribution of average values is used to compute the mixed distribution's digital features of each component distribution, thereinto, the number of the component distribution is determined by AIC, choose the number that meets the minimum value of AIC as the component number of mixed distribution, and the other parameters are estimated by EM algorithm; Secondly, because each component distribution is corresponding to a kind of major gene genotype, according to the values of the average and variance of the each component distribution, we can use the limit error of the normal distribution to plot each individual into the correspondent component distribution, namely into correspondent major gene genotype. Then we regard each major gene genotype as a treatment level of one-way analysis of variances, and the one-way multivariate analysis of variance is carried out to calculate the covariance matrix of major gene effect, covariance matrix of polygene effect, covariance matrix of environment effect and so on; At last, combining the weights of the each component distribution of mixed distribution, we can calculate the variance of major gene effect, the variance of polygene effect, environmental variance and the genetic gain of the quantitative trait.

为减小计算误差，本研究采用均值的频数分布来计算各成分分布的数字特征，其中成分分布个数根据AIC准则，选择使AIC值达到最小的成分分布个数作为混合分布的成分分布数，分布中其它参数的确定利用EM算法来估计；其次，每个成分分布对应一种主基因基因型，根据各个成分分布的均值和方差，利用正态分布的极限误差将每个个体划分到相应的成分分布中，即相应的主基因基因型中，将每种主基因型作为单因素方差分析的一个处理水平，对其进行单因素的多元方差分析，分别计算主基因效应协方差阵、多基因效应协方差阵、环境协方差阵等参数；最后结合混合分布中各成分分布的权重即各主基因基因型的分离比例，计算主基因效应方差，多基因效应方差和环境方差，以及遗传力等参数，进而计算该数量性状的遗传进展。

Firstly, 112 symptoms of asthenia syndrome which frequency greater than or equal to 10% were clustered and recognized. Secondly, every group cases of asthenia syndrome after first stage clustering were clustered and recognized again to get corresponding sthenia syndrome. Thirdly, we searched for the distribution laws between the clustering result and the data of demography to get the distribution laws of every group characteristic symptoms corresponding asthenia syndrome, of sthenia syndrome corresponding every group asthenia syndrome.

首先根据频率大于10%的112个虚证症状进行聚类识别，再对聚类结果中每组虚证病例进行兼夹实证聚类识别，并对聚类识别结果与性别、年龄等人口学特征之间分布规律进行探索，从而得出每类虚证对应的特征症状分布规律及程度，虚证证候对应的兼夹实证分布规律，以及各类主次证候间辨证关系及发展趋势，及其与性别、年龄等人口学特征的分布规律。

Based on the distance of Kullback-Leibler, this paper give the exact definition of the maximum Kullback-Leibler distance between two different distribution functions and prove that this one has analytic properties such as symmetry, triangle inequality which is the same as the Euclidean distance. By the definition, the maximum Kullback-Leibler distance between some conventional distributions, such as two different binomial distributions, two different normal distributions are obtianed.

在Kullback-Leibler距离的基础上，定义了两个概率分布之间的最大Kullback-Leibler距离，证明了这个距离具有欧式距离的对称性，三角不等式性等分析性质，依照该定义，计算了两个不同的二项分布，两个不同的正态分布等一些常见分布之问的最大Kullback-Leibler距离。

We didn\'t find activated points in cerebellum and deeper brain.3.Acupuncture of sham point can significantly activated BA2,6,8,13,21,37,40,44,45,47,putamen and other areas.Both the left and right side of the brain have activated points,but points on the right side are more than those on the left.Both sides of middle temporal gyms,parietal lobule,supramarginal gyms and the lentiform nucleus have obvious activated points.The activated points mainly concentrated in the cerebral cortex,the deep-activated are mainly in the putamen.4. Sham needling in sham point can significantly activate BA6, 8,9,10,18,21,37,40,43,44.The activated points are mainly distributed in the right side of the brain.The left side also has some activated points;5.In the comparasion of Acupunture and sham-needling in S J5,we find that BA8 and cerebellum have distinct regional activated points;6.In the comparasion of acupuncture in SJ5 and sham point,we find BA2 and left cerebellar regions have activated points;7.Sham needling in S J5 compared with sham point,we find BA7,8,9,18 and other areas have activated points,the main activated points are at the left brain.It is not difficult to find that the distribution of activated points are mainly in the middle brain,no obvious activated points at the temporal lobe.

结果：通过对数据的处理和分析，我们初步发现：1、外关穴真针刺能显著激活Brodmann area45、37、44、40、22、13、37、47区、海马、杏仁核、黑质等区域，小脑左侧更明显，左侧颞叶皮层激活点多于右侧，且脑部左侧深层激活点多于右侧；2、外关穴假针刺能显著激活BA46、44、41、13、40、37、19区等区域，激活点主要集中表现在大脑皮层，以颞叶为主，小脑及深部未发现明显激活点；3、非穴真针刺组结果分析初步表明，BA2、6、8、13、21、37、40、44、45、47区以及壳核等区域有激活点，大脑左、右侧均有激活点，但右侧更多，双侧颞中回、顶叶下小叶、缘上回及豆状核有明显激活点，激活点主要集中在大脑皮层，深部激活点主要在壳核；4、非穴假针刺能显著激活BA6、8、9、10、18、21、37、40、43、44区等区域有激活点，主要分布在大脑的右侧，左侧也有不少激活点，就其具体分布主要在颞叶和额叶，少部分分布在顶叶和枕叶；5、外关穴真针刺与假针刺对比发现，BA8区和小脑等区域有明显的激活点；6、外关穴真针刺与非穴真针刺对比发现BA2区、左侧小脑等区域有激活点；7、外关穴假针刺与非穴假针刺对比发现，BA7、8、9、18等区有激活点，主要反应点在左侧大脑的枕叶中回、楔叶，顶叶楔前叶及额上回、中回，就其分布不难看出主要在大脑中部，颞叶未见明显激活点。

The local factors such as topography, vegetations and soil moisture contents, have great influences on the distribution, ground temperatures, and ground ice contents of permafrost. About 50 km of wetlands have been identified along the China-Russia crude oil pipeline route. In these segments, the surficial deposits consist of peat and humic layers on the top of thick ground-ice, or ice-rich permafrost. The frozen ground engineering geology conditions in wetlands generally are the worst for building and operating the pipeline. The hazardous periglacial processes, such as the widespreadpresence of pingos, icings and frost mounds due to the extensive occurrence of the frost-susceptible soils and ample supplies of surface and ground waters in winter pose significant threats on pipeline operation.

地形地貌单元、植被分布、地表水分条件的变化等局部因素对多年冻土的分布和地下冰的赋存产生重要的影响，管道沿线大约分布有50 km左右的沼泽湿地，其表层为腐殖质土及泥炭层，泥炭层下面分布着含土冰层或地下冰，是管道沿线最差的冻土工程地质地段；由于中俄原油管道沿线水系发育多，冻胀丘、冰椎和冰幔等不良冻土现象广泛分布。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。