极限化

For decades, we've been witnessing the transformation of high-density cities as a result of urbanization.

所有人都目睹了我们所生活的城市在都市化进程中不断挑战高密度的极限的过程。

At its limit, this involved seeking to create 'world cultural convergence', to homogenize consumer tastes and engineer a 'convergence of lifestyle, culture and behaviours among consumer segments across the world'.

在它的极限，这涉及力求创造世界的文化趋同，同质化，以消费者的口味和工程师一个收敛的生活方式，文化和行为之间的消费市场在世界各地。

Using numerical analysis and visual technology, the parameters of the known Rayleigh van der pol equation are discussed in detail The relation between the limit circle and chaos strange attractors is foun

通过数值分析及科学可视化技术，对著名的 Rayleigh Van Der Pol方程的参数进行较详细的讨论，获得该方程的混沌吸引子与极限环的关系

The periodic doubling responses of the limit cycle flutter of the test model are observed in wind-tunnel test.

风洞实验中实现了该系统极限环颤振的周期倍化响应。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

The very large scale monolithic integrated circuits have already reached the limit of integration or miniaturization.

超大规模单片集成电路已经达到其集成或微型化的极限，要进一步提高其组装密度和扩展功能，唯一的途径就是发展三维微波集成电路(3DMIC)。

Large numbers law and center limit theorem in probability theory are simulated randomly by Microsoft Excel software in this artcle,the visualizing of them are easily achieved by computer.

作者采用Microsoft Excel电子表格软件对概率论中的大数定律和中心极限定理进行随机模拟，在计算机上很容易实现了这两个定理的可视化。

Utilizing the theory of Lur\'e system,the paper studies the practical synchronization of the system composed by nonidentical cells coupled through quorum sensing.This type of synchronization,which implies the dynamics of each cell is similar but with small difference,is a common kind of phenomenon.

本文利用相约化方法将振子网络的状态方程转化为相应的相方程，然后通过对其相方程进行分析，证明了耦合极限环振子网络在很弱的平衡耦合下就可以实现相同步。

The describing function technique is mainly employed to predict the existence of constant amplitude oscillations of closed nonlinear systems and has been successfully used in many applications.

利用描述函数法将非线性元件线性化，以预测其极限环的发生，已成功的使用在许多的应用上。

Based on the research production, with three prestressed concrete hollow slabs from the bridge in active service for ten years, this essay studies the ultimate bearing power ,the load-bearing failure mechanism and structure reenforcement measures influence on them, through examination of each performance index, failing load test, theoretical analysis and computing research work.

对预应力混凝土桥梁结构在使用中存在的问题及国内外相关研究发展水平进行了综述，指出目前对旧桥预应力混凝土空心板实际极限承载能力进行相关研究的必要性及其重大意义； 2、对旧桥预应力混凝土空心板的混凝土强度、碳化深度、预应力筋的锈蚀状况以及裂缝状况的检测评定； 3、通过破坏荷载试验，对损伤旧桥预应力混凝土空心板的受力性能进行试验评定； 4、采用在桥面做混凝土叠合层的加固措施，通过破坏荷载试验对加固后的旧桥预应力混凝土空心板的受力性能进行评定； 5、提出在役旧桥预应力混凝土空心板的维护、加固和使用建议。

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。