几何分布

The atomic net charge, population of frontier molecular orbital, stability and reactive properties of free radicals were analyzed, the mechanism of graft polymerization was discussed.

同时采用量子化学abinitio UHF方法在6-31G基组水平上对两类淀粉链段自由基模型进行几何优化，分析体系的净电荷、前线分子轨道分布规律，以及自由基的稳定性和反应活性特征，揭示接枝共聚反应机理。

Then, compute geometry property of each point on Gaussian sphere and curvature coordinate.

然后计算测量点几何属并将它映射到高斯球和法曲率坐标上，运用统计方法识别不同分布模式，从而识别不同的特殊二次曲面类型。

You will understand what I mean by COMPLEXITYby noting these three aspects. Firstly, it refers tothe complexity in form. When CAD becameinvolved in the design process Architect's wereenabled with a higher level of control over evermore complex geometry. Consequently it canand will generate infinite possibilities in the futurefor form finding, which has shifted in emphasis asa more logical design process based onsystematic theories away from intuitive designtechniques. Secondly, it illustrates our growingsocial complexity. As technologies allow peopleto send and receive more information than before,in ever shorter time frames, the function ofarchitecture and urban space will increasinglybecoming ambiguous. Emergent, adaptive andtransformable spaces are replacing limitedfunction spaces gradually. Even a single spacewould afford more potential functions. Lastly, Iam referring to the complexity of collective design team organizations working on different projects.The fact is that our social work division is moreintricate and variegated today; Architects mustby necessity negotiate with governmentalauthorities, material suppliers, engineeringconsultants, quantity surveyor, contractors,planning authorities, landscape architects, interiordesigners, acoustical engineers, et cetera besidesjust our clients. Meanwhile, projects and designteams tend now to be a globally dispersednetwork. All of these things are challenging theconventional architectural practice, it'sorganization, and administration significantly.

Complex可以从3个层面上理解：首先是指设计形式上的复杂性，即引入计算机数字化技术后，建筑师可以设计和控制更高级、更复杂的几何形体，而不是简单地发挥计算机复制、粘贴的画图优势，让计算机真正参与到设计过程中，带来更多设计形式上的可能性（需要指出的是，这种形式上的演进已经从开始的直觉行为转成由系统理论指导的理性应用）；第二，是指与社会学相关的复杂性，科技让人们更多更快地接受和传递信息，建筑和城市空间的功能性变得越来越模糊，无法预知，随时间调整自身、不断变化的空间正在不自觉地逐步取代原有功能确定的传统空间，或者说一个空间要承受比以前晰释复杂性ARTICULATING COMPLEXITY多得多的功能要求；最后，是指在一个建筑方案内团队组织的复杂性，社会分工越来越详尽，建筑师要面对的除了甲方和使用者，还有政府权力部门、材料供应商、工程技术部门、合同签约顾问、城市规划部门、景观设计师、室内设计师、音响设计师等等相关的合作单位，同时，在项目和设计职员的地域分布上更趋向全球化，这些都带给建筑事务所内部管理和组织上前所未有的复杂性。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

Under the oblique incidence cases, the optical path difference of light beam distributed on the edge of steps can be calculated by using the geometric method. Then, according to the multi-slit Fraunhofer diffraction, the expression of diffraction intensity of reflection step grating is deduced.

针对反射性阶梯光栅，利用几何方法计算出斜入射情况下光束在台阶边缘的光程差的分布情况，根据多缝夫琅和费衍射推导出反射型阶梯光栅的衍射光强表达式。

The method includes the following steps: firstly, a spherical neighborhood of present sample points is established by using the geometric spherical-modelling theory and all the sample points contained in the spherical neighborhood are adopted as candidate neighbor points, thus not only preserving the effectivity of the dimension reduction capability when data sets are sparse but also getting the advantages of low-sensitivity to isolated points and good stability of the preserved topological structure; then a data relevance matrix more matching semantics can be obtained by relevance measurement based on route clusters to update the candidate neighbor points in the spherical neighborhood and optimize the regular neighborhood space of the present sample points, thus improving the phenomenon that the dimension reduction of sample sets provided with folded curved faces is apt to suffer the integrated-structure distortion in case of heterogeneous data distribution.

首先利用几何开球原理建立当前样本点的球状邻域，将包含在球状邻域内的所有样本点作为候选近邻点，不但能够保持在数据集稀疏情况下的降维性能的有效性，而且具有对孤立点敏感性不高、保留拓扑结构稳定性好的优点。然后利用基于路径聚类的相关性度量得到更符合语义的数据相关性矩阵，用来对球状邻域内的候选近邻点进行更新，优化当前样本点的规则邻域空间，改善了当数据不均匀分布时在带有折叠弯曲面的样本集上降维容易出现整体结构扭曲的现象。

This thesis with cold-shrink 25kV cable terminal connector components as the main structure, used finite element analysis method to simulate the following situations (1) with different thickness of stress relief material (2) with different relative permittivity of stress relief material,(3) different geometries of the stress cone ,(4) of a grounding embedded electrode to monitor effects of electrical stress grading.

中文摘要本文以25kV冷缩式电缆终端接头元件为主要架构，使用有限元素分析法模拟(1)电应力缓解材料的厚度改变(2)电应力缓解材料的相对介电系数改变(3)不同的应力锥几何尺寸(4)埋置接地电极时的电场与电位分布状况。

In the 5th chapter, the application of Multi-Agent technology in Concurrent Engineering is studied. With the shaft strength and rigidness analyzing agent and gear strength analyzing agent as examples, an agent model is studied and provided. A federated multi-agent infrastructure based on product assembly model and multiple analyzing agents is suggested. By this, cooperation under distributed and heterogeneous environment and efficient information integration among mechanical geometry product modeling system, assembly modeling system and analyzing system can be realized.

第五章研究了多代理（Multi-Agent）技术在并行工程中的应用，以转轴强度与刚度验算代理和齿轮强度验算代理为例子分析了代理的模型，研究并提出了一种基于产品装配模型和多分析计算Agent的联邦制体系结构，该体系结构能够支持异构分布环境下的协同工作，能够实现机械产品几何造型系统、装配建模系统、分析设计系统之间的有效集成。

We have calculated the mean contact probability of short fibers in uniform system by statistic method, then we selected simple cube lattice model and calculated resistivity of the system by Monte Carlo method.

为了解决短纤维填充的复合材料电阻率的预测问题，我们采用统计的方法计算出均一体系（纤维的几何形状是均一的，纤维在基体中的分布是均一的）中两根紧邻和次紧邻纤维间的接触几率。

The automatic stacking technology for the iron core of motor stator and rotor was presented,including the classification of stacking form,the geometry and distribution of skew riveting stacking compression points,the depth of stamping and the way of parting of iron core stacking.

通过对电机定子和转子铁芯自动叠装技术的介绍，将铁芯叠装形式的分类、扭斜铆接叠压点的几何形状、分布、冲压深度以及如何实现铁芯叠装的分台进行说明，提出模具设计时应注意的要点，对此类模具的设计有一定的参考作用。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。