空间化

This is my last OpenGL for a project to use the "three-dimensional vector space / point" and related functions, they can use a definition of space vector / points, for the vector translation, zooming and rotation, the use of correlation function can also achieve two vector by the fork, get a Vectors absolute length of a vector unit, received a 3:00 decision vector perpendicular to the plane, a space to be the distance between two points, two vector to be the plot points, to be the angle between two vectors, such as operating for the use of user-friendly, each function is detailed Notes, it is particularly important if the calculation vector plot points, fork also took note, we hope to have useful.

这是我过去进行一个OpenGL项目时使用到的"三维空间向量/点"类及相关函数，使用它们可以定义一个空间向量/点，实现向量的平移，缩放和旋转等，使用相关函数还可以实现两向量的叉乘，得到一个向量的绝对长度，将一个向量单位化，得到一个三点决定的平面的垂直向量，得到空间中两点的距离，得到两向量的点积，得到两向量的夹角等操作，为方便用户的使用，每个函数都有详细的注释，特别重要的向量计算如点积，叉乘还有相关说明，希望对大家有所用处。

For that, the translation table is build once the data are distributed during execution to show the number of processor and local array index for each global array index.

不规则计算问题并行化的关键是如何解决全局地址空间与局部地址空间的转换问题和如何确定所需要的通信。

Finally, the study primary indicate three ecological zone ,named urban core zone, urbanize zone, banlieue, and defined itself ecological relationship. Simultaneity, this syudy indicate cardinal urban space development problems about population, land, economic activities by the spatial structure analysis. And it directs this problems to offer countermeasure.

进而利用台中市相关数据初步地辨识出都市中心、都市化地区及市郊区等三个都市生态空间区域，指出其生态关系，并透过空间结构分析明确台中都市发展在人口、土地和经济活等三方面的主要问题，从环境保护的角度，对台中都市生态系统空间结构的问题提出改善建议，供台中都市空间规划参考。

Because our annealing equipment is the CKT-25 continual uniform temperature spheroidization draws back the firing line to be different with the ordinary bell glass stove, the well type stove, the trolley type stove and so on, our equipment's chamber size for the height 50 centimeters, the width 80 centimeters, the chamber space is smaller than far the above type of furnace, the unit space attire stove quantity also far is smaller than the above type of furnace.

因为我们的退火设备为CKT-25连续等温球化退火线有别于普通的钟罩炉，井式炉，台车式炉等，我们设备的炉膛尺寸为高50厘米，宽80厘米，炉膛空间远小于上述炉型，单位空间的装炉量也远小于上述炉型。

The system can display in 3D the robots with higher quality graphics on PC by adopting the solid model technology, and modify the model of robots according to the size given by users, so that the parametric modeling is realized under interactive mode. It realizes the graphics simulation of robots in kinematics in both articulatory space and Cartesian space, and it also realizes the animated simulation of trajectory of linear interpolation in point-to-point mode.

该系统采用实体造型，能在微机上显示较高质量的机器人的三维图形，可以按照用户给出的尺寸修改模型，在交互方式下，实现机器人的参数化造型；系统能够在关节空间和笛卡尔空间中进行运动学的图形仿真，能进行点到点直线插补轨迹的动画显示，机器人的动作可以示教再现，也可以由程序设定。

Then gives the methods of how to create a configuration space .Introduces the nonholonomic constrains and how to implement it in a discrete space.

本文介绍了机器人C一空间的构建方法，介绍了机器人的非完整约束，给出了一种离散化空间的非完整约束方法。

Based on theanalysis of topology structure of parallel mechanisms and using differential topology anddifferential manifolds as mathematical tools, we propose a new classification method. Thismethod classifies singularities of parallel mechanisms into two basic types, i.e. topologysingularity and parameterization singularity. This kind of classification has clear physical andmathematical meaning and fully reveals the characteristic of configuration space of parallelmechanisms.

采用微分拓扑和微分流形等现代数学工具，在对并联机构位形空间的拓扑结构进行分析的基础上，提出了一种新的奇异位形的分类方法，即把奇异位形分为拓扑奇异位形、参数化奇异位形两种类型，这种分类方法充分体现了并联机构位形空间的特点，具有十分明确的物理和数学意义。

The key problem of discretization is ...

离散化的本质上可归结为利用选取的断点来对条件属性构成的空间进行划分的问题，它是一个空间划分和编码优化问题。

It is proved that, compared with existing tools, AOP based software architecture dynamic visualization framework provides the function of architecture dynamic visualization for software in a loose-coupled way.

实践证明，相比目前的工具，基于AOP的软件架构动态可视化框架能够以一种松耦合的形式来方便的为软件提供架构动态可视化的功能；而且，从时间、空间和功能三个维度对架构动态信息的可视化满足了不同用户的需求，能够更好的帮助人们去理解和开发复杂的软件。

In this dissertation, on the base of reviewing the theories of the gentrification inwestern countries and comparing the situations in different countries, we choose theinner city of Shanghai as the study case to demonstrate the spatial distributing modes,the characteristics of the neighborhoods, as well as the process of gentrification.

本论文在归纳总结西方国家的中产阶层化相关理论和比较研究国外不同国家中产阶层化发展状况的基础上，以上海中心城旧区为研究对象，对中产阶层化现象的空间分布模式、演化类型特征和演进历程进行了实证分析。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。