等分布

During the postgenomics era the information about genomic sequence and gene functions provides a new foundation for evolutionary biology and ecology As the first whole-genome sequenced plant Arabidopsis thaliana and its wild relatives have played a critical role in understanding the evolution of genomics and speciation Both A halleri and A lyrata are closely related to the model species A thaliana A halleri ssp gemmifera occurs in northeastern China Japan and Taiwan; while its sister A halleri ssp halleri is mainly distributed in Europe Geographical barriers such as Tienshan Mountain Range isolate these intraspecific sisters Likewise A lyrata ssp kamchatica and ssp lyrata occur in East Asia and North America respectively Such distribution patterns seem to be consistent with allopartic speciation The comparison between ancestral and extant polymorphism by multilocus can be informative about the population genetics of speciation In this study we collected and analyzed DNA sequences of 98 genes from four wild relatives of A thaliana A halleri ssp gemmifera A halleri ssp halleri A lyrata ssp kamchatica and A lyrata ssp lyrata The ancestral states of these four species were compared to each other in terms of level of genetic variation However the ancestral species at the time of speciation were substantially more polymorphic than the extant geographical populations The observations are not fully compatible with speciation by strict allopatry At some species pairs parapatric speciation seems more reasonable in speciation of Arabidopsis The 98 gene sequences are also used for the congruence test between gene genealogy and species phylogeny Only 28 genes support the species phylogeny but there are 23 genes supports another major genealogy { lyrata} thaliana Based on the phylogenetic position change of A lyrata ssp kamchatica and Ks value for each species pair suggested the recent directional gene flow between A halleri ssp gemmifera and A lyrata ssp kamchatica

阿拉伯芥是第一个完成基因体定序的开花植物，其基因体资讯提供植物学研究的重要依据；在解析阿拉伯芥属物种的亲缘关系以及种化机制等重要的演化议题时，阿拉伯芥近缘的野生物种自然成了不可或缺的关键；跟阿拉伯芥近缘的物种包括A halleri及A lyrata，其中A halleri ssp gemmifera主要分布於中国东北、日本以及台湾，与近缘的A halleri ssp halleri其分布於欧洲隔著天山及大陆的障蔽，而A lyrata ssp kamchatica主要分布於东北亚及台湾，与分布於北美五大湖的A lyrata ssp lyrata被北极圈所分隔，这样的分布模式暗示异域种化的可能。藉由多基因分析比较祖先物种与现生物种遗传歧异度的相关可提供讯息探讨种化时期的族群遗传结构，本研究针对A halleri ssp gemmifera、A halleri ssp halleri及A lyrata ssp kamchatica、A lyrata ssp lyrata四个物种，两对互为亚种的姊妹群，以阿拉伯芥为外群进行研究，在四个物种完成98个同源基因的分子序列，利用套装软体MCMCcoal来估算祖先物种的遗传变异，亦估算现生物种的核苷酸歧异度，观察到？多物种配对中祖先物种遗传多型性大於现生物种DNA歧异度，显示异域种化模型并无法完全解释阿拉伯芥属物种的种化模式，在某些物种配对间邻域种化模式应比异域种化更为可能；在基因树与物种树的比较，98个基因片段的亲缘模式只有28个是与已知物种树一致的，有23个基因其树状图支持{ lyrata} thaliana的型式，藉由kamchatica位置的变化以及估算各物种配对间的平均同义置换率，推测在A halleri ssp gemmifera与A lyrata ssp kamchatica间具有近代的单方向基因交流。

To summarize two-dimensional non-normal joint distribution in use, such as Bivariate Weibull Distribution, Bivariate Log-normal Distribution, Bivariate Gumbel Distribution, and Bivariate Gamma Distribution.

归纳总结了已经出现的非正态二维联合概率分布模型，如二维威布尔分布、二维对数正态分布、二维冈贝尔分布及二维伽玛分布等。

Only in cauchy distribution are expected value and variance non-exist. By sas programming with SQL and MACRO we solve the fit of frequency distributions of data with these distributions. Meanwhile good-of-fit test is actualized so that the bound of parameters of distribution function is dwindling until the desired accuracy is arrived. The process is executed by the circle of macro.

利用SAS的SQL和MACRO等语句编写了大量的程序，以拟合优度检验结果为标准，不断地变换八种分布的参数变化范围，通过宏程序的不断循环，逐步缩小参数的范围，最后达到预先设定的标准，从而可以发现八种分布中哪几种分布能比较好地拟合给定的实际频数资料，我们再根据拟合优度检验的结果判断出哪种分布拟合实际频数资料最好，最终获得该频数资料的最佳的理论分布函数形式。

Generalized Linear Models are an extension of the linear modeling process that allows models to be fit to data that follow probability distributions other than the Normal distribution, such as the Poisson, Binomial, Multinomial, and etc.. Generalized Linear Models also relax the requirement of equality or constancy of variances that is required for hypothesis tests in traditional linear models. Hypothesis tests applied to the Generalized Linear Model do not require normality of the response variable, nor do they require homogeneity of variances.

广义线性模型是线性模型的扩展，对数据的要求不必局限于服从正态分布，同时放松了对"方差一致性"的要求，这在传统的一般线性模型假设检验中是必不可少的，而在广义线性模型假设检验中，响应变量也可以服从其它分布（如：泊松分布，二项分布及多项分布等）。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

With the wide development of the mixed Poisson distribution in the medical, financial and insurance applications, it is receiving increasing attention. But, according to the author to understand, at present, studies on the Mixed Poisson distribution of the literature are relatively small, the most important reason is that it does not have a Mixed Gaussian distribution of a wide range of applications. However, with advances in computer technology and the development of statistical techniques, Mixed Poisson distribution analysis of statistical data will play an increasingly important role, thus the system in detail study of Mixed Poisson distribution model parameter estimation is necessary.

随着混合泊松分布在医学，金融保险等领域的应用越来越广泛，因此它越来越受到人们的重视，但是据作者了解，目前，对混合泊松分布研究的文献是比较少的，其中最重要的原因是它没有混合正态分布的应用范围广泛，但是随着计算机技术的进步和统计技术的发展，混合泊松分布将在统计数据分析中扮演越来越重要的角色，因而系统，详细的研究混合泊松分布模型的参数估计是非常有必要的。

The results suggested that compared with A-starch and maize starch, there are more quantities of impurities, such as protein, lipid and pentosan, in B-starch. B-starch prepared in the laboratory almost has the same compositions as three samplings, and accords with the reports of some documents too. Differing from the granules in A-starch, those in B-starch are smaller sized (1-10m)and oval shaped, and felted each other. The crystallogram of A- and B-starch are similar, i.e. A type. There is difference in granular distribution between A- and B-starch. The granular distribution of B-starch is anomalous and extensive (l~1259m).B-starch has bigger dilatancy and retrogradation, and smaller blue value, solubility, viscosity, gelatinization temperature and gelatinization enthalpy.

试验结果表明：跟玉米淀粉、A淀粉相比较，B淀粉含有的蛋白质、脂肪和戊聚糖等杂质数量多；实验室制备的小麦B淀粉中淀粉、粗蛋白、戊聚糖等含量均与文献的报道接近，也与在工厂采样的B淀粉相近；与A淀粉不同，B淀粉以小颗粒的淀粉为主，平均粒径1～10μm，颗粒形状呈椭圆形，同时颗粒和颗粒之间黏结紧密；B淀粉和A淀粉晶形结构相似，都为A型；B淀粉的粒度分布情况不同于A淀粉，其粒度分布规律性不强，分布范围也较宽，粒度在1～1259μm之间；B淀粉的凝沉值和膨润力大于A淀粉，而沉降体积、蓝值、溶解度、粘度、糊透光度、相变温度和热焓均小于A淀粉；杂质的含量对B淀粉性质的影响是明显的，随着杂质含量的增加，沉降体积、溶解度和透光度减小，膨润力增大，但是它们对凝沉值、蓝值和粘度的影响比较复杂。

The duct and the wake of duct is also discreted by a number of small hyperboloidal quadrilateral panels. Constant source and doublet are distributed on duct while there are only doublet on wake of duct.

以面元的几何形心为控制点，在每个物面面元上布置等强度的源汇分布和偶极子分布，每个尾涡面面元上布置等强度的偶极子分布。

Firstly, the high resolution pictures of dragonfly wings from sample tests were studied thoroughly, and the unique feature of the reticulate vein distribution and the variation of the vein sizes and the grid shapes in different zones were figured out;then several computational models based on a dragonfly wing were established by using ANSYS, and beam 189 and shell 93 elements were used respectively in modeling of the veins and the membrane so as to ensure the compatibility between the veins and the membrane at a deformed state;these models subject to uniform loading cases were analyzed respectively so as to explore the unique performances of the wing structure, furthermore, through eigenvalue spectrum analyses of these models, the special role of the pterostigma in eliminating or suppressing the wing quivering effect was also evaluated.

首先，对实验中获取的高清晰度的蜻蜓翅膀数码图片进行了细致地分析，找出了翅膀网状翅脉结构中翅脉的分布规律与尺寸变化、网格形状的差异及不同形状网格的分布等独特的结构特征；再利用ANSYS建立蜻蜒翅膀网状翅脉结构模型，采用三节点等参数梁元beam189模拟翅脉和八节点等参数曲壳单元shell93模拟翅膜，以满足翅脉和翅膜间的变形协调性要求；通过非线性数值分析，探索了蜻蜓翅膀网状翅脉结构在均布荷载作用下所具有的独特的结构性能；通过模态分析，揭示了翅膀前缘靠近翼尖附近的翅痣在翅膀消震减振中所发挥的作用。

The assessment result shows: the infirm zone of the aquifer basically distributes in the limestone area of low Ordovician -top Cambrian, which the cranny is uncovered and overgrown, the area is also the direct recharge area of spring basin. In addition , in the rivers valley area of Jin xiuchuan and Bei sha river, because the leakage of the river is serious, the contamination can leak easily to the groundwater in the area of surface and near the river, so this area also is the infirm zone. Frail zone distributes in the uncovered area of mid-Cambrian which the canny upgrowth is commonly, parts of the zone distributes the relatively impervious layer such as shale. In the north-west area where is the down-rivers of two rivers, the alluvium is thick, the protection to the limestone is good.

评价结果显示，济南岩溶泉域含水层很脆弱区基本分布在济南泉域的岩溶裂隙非常发育的、裸露的下奥陶～上寒武的石灰岩地区，该地区也是泉域的直接补给区，另外在锦绣川、北沙河等河谷地带，由于河床渗漏严重，地表水及近河地带污染物容易渗入地下，也为很脆弱区；脆弱区一般分布在裸露的中寒武地层区，岩溶裂隙发育一般，部分地带分布有页岩等相对隔水层；西北部两河下游冲积层较厚，对下伏石灰岩保护功能较强，属于脆弱性相对很低区。

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。