几何分布

Then the shapes and amplitudes of geometrical imperfection can be determined through the decomposition of the correlation matrix.

这种求解拱结构随机几何缺陷的方法同样适用于其它结构中随机分布几何缺陷的分布方式及大小的求解。

The main research work of this paper are focused on following areas:(1) Based on review of the theory and methods on measurements of particle fields, a new idea for obtaining particle size and velocity distribution within a spray through imaging the particle field with a laser light sheet was put forward;(2) A DPIV (Digital Particle Image Velocimetry) system, is fit for velocity measurements of low speed flows, was developed and expended to particle size distribution measurement;(3) An arithmetic for particle velocity field reconstruction was developed, and the velocity distribution of water mist was also obtained;(4) A software system for particle analysis, which based on image geometry emend, de-noise and image partition was developed, the parameters such as particle size distribution, mean diameter, number of particles, minimum and maximum diameter can be got with this system;(5) A water mist system was developed and its characteristics, such as droplet velocity, size distribution, number of droplets and spray cone angle under different conditions were obtained from experiments with PIVS;(6) The measurement results of water mist characteristics with PIVS were compared and analyzed with the simply simulated results, and in addition, in order to verify the accuracy of PIVS, some experiments were conducted with the standard particles, such as glass-ball with known mean diameter of 50μm and 115μm, metallic coated tracing particle with mean diameter of 12μm;(7) Some experimental studies on interaction of water mist with liquid pool fires were conducted.

本论文的主要工作包括以下几个方面：（1）在对粒子场测量的相关理论和具体方法进行综述分析的基础上，提出了通过采用激光片光对粒子场进行成像以获取其粒径和速度等参数分布的新思路；（2）研制了适宜于低速流动速度场测量的DPIV(Digital Particle Image Velocimetry)系统，并使其实现了对粒子场粒径分布的测量功能；（3）研制了基于粒子运动轨迹的速度场重建算法，获取了细水雾雾场的速度分布；（4）研制了基于几何校正、去噪、图象分割等图象处理方法的"粒度分析软件系统"，该系统既可分析给出粒子场的粒径分布直方图和平均粒径，还可给出粒子的数目以及最大、最小粒径等信息；（5）建立了一细水雾发生系统，并应用上述方法对不同压力条件下细水雾系统的雾场特性（如速度分布、雾滴粒径分布、雾滴的数目、喷雾张角以及雾化长度等）进行了实验测量研究；（6）对细水雾特性参数的PIVS测量结果与计算机简单模拟计算结果进行了定性比较分析，并利用平均粒径为50μm和115μm的玻璃球以及12μm的标准示踪粒子对PIVS系统的粒径和速度测量结果进行了实验验证，同时对其局限性进行了分析讨论；（7）对不同工况条件下细水雾与油池火相互作用的过程进行了模拟实验研究。

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。

By using the multi-year series of the circulation indices P and C for the closed pressure system on the unit radius spherical surface,three characteristic quantities of annual system centers(around the climatological center C-) are defined.1Average distance r,which is defined as the weighted geometric average distance of the annual system centers C deviating from the climatological center C-(i.e.the center location anomaly C′),is a measurement for distribution area of the system...

用单位半径球面上闭合气压系统环流指数P、C的多年序列，构造了历年系统中心在C-周围分布的3个特征量：1平均距离r，它定义为历年系统中心C偏离于气候中心C-的权重几何平均距离，是系统中心分布区域大小的度量；2压缩系数μ，它描述了历年系统中心分布区域偏离于圆形的程度，是历年系统中心位置分布各向异性的度量；3极大异常方向β，它用系统中心极大异常偏离-C处正东方向的角度，给出了系统中心的主要异常方向。

The class one which was expressed by diameters of pore maximum inscribed circle was adapted and a new distribution model expressed by diameters of pore area equivalent circle modified with fiber thickness was presented.

以几何概率和平面随机分割理论为依据，分析了非织造布中孔隙结构的分布模型，将经典的以内按圆直径表示的有效孔径分布模型改为以面积等效圆直径表示的有效孔径分布模型，并结合纤维细度进行修正，实验证明，该模型更符合实际情况。

Based on Fermat's theorem, the law of reflection and refraction is obtained, and the geometrical ray tracing method of reflected light is introduced. In response to geometric optics rainbow theory and Airy rainbow theory, the relationship formula of the N-order rainbow angle with the refraction index and the Airy peak value position formula are derived, and the physics causation of the first order rainbow are discussed and analyzed in detail. The distribution properties of the first and second order Airy structures of spherical particles are calculated.

利用费马原理推导了反射和折射定律，以反射射线的跟踪为例介绍了几何光学射线跟踪方法的推导过程；根据几何光学彩虹理论和Airy理论，推导了N阶几何光学彩虹角与入射角和折射率的关系及Airy峰的位置表达式，详细阐述了一阶彩虹形成的物理原因，计算了球形粒子的一、二阶Airy分布。

Under the assumption that a geometric process at the start point follows a lognormal distribution, the statistical inference problem for the geometric process is studied.

在假定几何过程的初始分布为对数正态分布的前提下，研究了几何过程的统计推断问题。

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。

The particle size distribution fractal was introduced into powders' flowability testing, through used the mathematical model which utilize the geometry properties of the particle, and propitious to the digital micrographic image analysis method. It was gained the fractal dimensions, discussed the relationship between the powders' flowability denotation parameters and powders' PSDF, and also made a primary research about the action effect of flow addition reagent magnesium stearate.

本文中在颗粒流动性测试时引入粒度分布分形维数，通过采用利用颗粒几何特征，便于采用数字显微和用像处理计算粉体粒度分布分形维数值的数学模型，得到粉体粒度分布分形维数值，探讨颗粒流动性表征参数与粉体粗度分布分形维数值间的关系；并就流动助剂硬脂酸镁对粉体流动性能的改进与粉体粒度分布分形维数值关系进行了初步探讨。

According to the criterion, the conventional uniformly distributed points were replaced by the nonuniformly distributed points.

本文针对规整填料的几何结构，提出了新的液体初始分布器的设计标准，将传统的均匀分布的喷淋点，改进为不均匀的喷淋点，以使液体在最短的时间内达到在填料层中的微观均匀分布。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。