扑

For topology optimization with general objective functions, multi-constraints, multi-materials and multi-load cases is proposed.

总之，本文主要采用向量水平集表示，将材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解，运用摄动技巧、拓扑方法及比较原理，在一个适当的条件下，证明了广义平均曲率方程组径向对称解的存在性。

Because of the topology complexity of mesh models, there are many shortages in the point sorting/separation algorithms for generating intersection line segments.

由於模型拓扑关系的复杂性，目前在网格模型的交线生成过程中数据点排序与分离存在诸多缺陷。

In order to describe the topology relationship of an environment better, a geodesic distance is substituted for a Euclidean distance used in an ordinary Gaussian function and a policy iteration reinforcement learning method based on geodesic Gaussian basis function is proposed.

为更好地描述环境的拓扑关系，采用测地线距离来替换普通高斯函数中的欧氏距离，提出一种基于测地高斯基函数的策略迭代强化学习方法。

In this paper,taking the gas pipe network system as an example,the author analyzes the feature of geographical network,and gives the conceptual model of geographical network,deeply researches the establishment of the model of network data and the topology relation of gas pipe-network.

以城市燃气管网系统为例，在分析地理网络特征的基础上，提出了地理网络的概念模型，重点研究燃气管网数据模型和网络拓扑关系的构建。

Also, we can present the geometric representation of biological sequences and structures. So the genometric topology and group theory are important also.

同样我们可以用几何方法来表示生物序列和二级结构，几何拓扑和群论也发挥了很大的作用。

Based on this method of dividing data into blocks in the horizontal and the multi-levels in the vertical direction, the modelling and representation of geometric and topological road data are set out in detail. As well, their support for the core functions of the navigation system is analyzed.

通过应用这种水平方向分块、垂直方向分层的方法，研究了几何道路数据和拓扑道路数据的建模与表达，并分析了它们对导航系统核心功能的支持。

Based on the relationship between the structure and function, a lot of research have been performed on predicting base-pair which is indispensable to the RNA three-dimensional strcutrue. The tools and methods in Combinatorics and Statistics will play important roles in studying linear sequences of biomolocular units . Similarly, we can present the geometric representation of biological sequences and structures. So the genometric topology and group theory are important also.

根据RNA的结构与功能的关系，在预测碱基配对的类型方面进行了相当多的研究，这也是确定RNA三维构象的必不可少的一部分，组合学和统计学的工具和方法在研究生物序列和生物结构上起到了很大的作用，同样我们可以用几何方法来表示生物序列和二级结构，几何拓扑和群论也起到了很大的作用。

The profile is represented by three links: geometrical element link, topological constraint link and dimensional constraint link.

轮廓描述由三部分组成：几何描述、拓扑约束描述和尺寸约束描述。

Compared with traditional DEM or TIN based methods, this pure vector approach obtains not only the topological structure of drainage system in planar graph, but also the valley distribution polygon range. Depending on geometrical computation and judgment of vector line, polygon, the structured properties in drainage representation is enhanced, avoiding the case of noise disturbance in DEM based method. The core algorithm makes use of the ability of Delaunay triangulation in detecting hierarchical structure of each contour line.

中文摘要：基于Delaunay三角网模型在矢量等高线基础上通过弯曲特征分析，给出了一种地形结构特征提取及谷地树组织的方法，与传统的基于DEM或TIN数据结构提取地形特征的方法相比，该方法不仅得到了谷地系统在平面图上的拓扑结构，还获得了河谷在空间分布上的汇水范围，依托矢量线、多边形的几何关系判断，增强了谷地树组织中的结构化，避免了DEM方法中的噪音干扰，方法的核心是Delaunay三角网在单根等高线弯曲深度表达上的层次结构识别。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。