顾及几何特征和拓扑连续性的道路网匹配方法

已有的道路网匹配方法需要一定的人为干预和控制,仍无法实现匹配自动化,而且对于具有一定尺度差异的数据而言,受不相关道路对象的影响,匹配结果中会存在较多的误匹配。为此,本文提出一种顾及几何特征和拓扑连续性的由粗匹配到精匹配的分层匹配策略。粗匹配阶段,利用短边中位数Hausdorff距离计算匹配对象的相似度,再以道路网弧段端点的近邻分析结果作为匹配阈值,判断匹配对象是否为同名实体;精匹配阶段,将粗匹配阶段评价结果中离散的同名实体构建为完整的道路Stroke,即以追踪的方式剔除误匹配和添加漏匹配。利用宿城区不同尺度的道路网对所提算法进行验证,结果表明,该算法具有较好的匹配效果,能够实现匹配自动化。

Cosine算子值函数在t＞0上一致算子拓扑连续性的特征刻划

设Ｅ是一个Ｂａｎａｃｈ空间，考虑Ｅ上的强连续Ｃｏｓｈｅ算子值函数我们研究｛Ｃ（ｔ）｝－ｘ＜ｔ＜ｘ在ｔ＞０上一致算子拓扑划问题，本文证明了：｛Ｃ（ｔ）｝－ｘ＜ｔ＜ｘ在ｔ＞０上按一致算子拓扑连续的充分必要条件是其无穷小生成元为有界线性算子。进而得知：适定的Ｅ中的非完全二阶微分方程的Ｃａｕｃｈｙ问题（＊）．（Ａ为Ｅ上的一个闭稠定的线性算子）的解算子在ｔ＞０上按一致算子拓扑连续当且仅当Ａ有界，这种特征与Ｃ０类算子半群即适定的一阶抽象线性微分方程Ｃａｕｃｈｙ问题的解算子及适定的完全二阶及阶数ｎ≥３的高阶抽象线性微分方程Ｃａｕｃｈｙ问题解算于的性质迥然不同。

序列连续性与拓扑连续性(英文)

首先在线性空间中给出一个序列收敛关系 ,然后利用列邻域得到了由绝对凸吸收集构成的可加滤子基 ,进而构成了局部凸空间—— L CL空间 ,文中证明了 L CL空间的重要特征是序列连续性等价于拓扑连续性 ,并讨论了 L CL空间的拓扑结构 .

汉语拟形话语的拓扑性质探究

拟形话语将虚泛、无形态的抽象事物当作可视可触的有形态的事物来描写,拓扑性质具体表现为拓扑等价性、拓扑连通性和拓扑连续性,汉语拟形话语生成呈现出该性质。拟形话语的拓扑等价性表明拟形话语作为用例事件与其赖以生成的事件之间具有同一性,在描写前后知觉客体的结构是同胚的,其本质是同一的、等价的;拟形话语的拓扑连通性主要表现为拓扑形态连通性,在描写前后知觉客体构成了一个形态连通的整体;拟形话语的拓扑连续性主要表现为“心”对“物”的随附,知觉客体的物理属性决定了其心理属性,高层次的心理事件全总随附于低层次的物理事件,心理事件和物理事件一起构成了一个连续统。

两斑块环境中一般形式的捕食-食饵扩散生态系统的周期解

考虑周期系数的两斑块环境中一般形式的捕食 食饵扩散生态系统,系统是由3种群组成的,其中一个为捕食者,另两个为食饵种群,食饵种群间存在扩散.本文利用拓扑度连续性定理,得到了该系统正周期解存在性的充分条件.

Utility Representations of Preferences on General Choice Spaces

The purpose of this paper is to reconsider the utility representation problem of preferences,Sev-eral representation theorems are obtained on general choice spaces.Preferences having continuous utility functions are characterized by their continuities and countable satiation.It is showed that on a pairwise separable choice space,the sufficient and necessary condition for a preference to be represented by a contin-uous utility function is that the preference is continuous and countably satiable.For monotone prefer-ences,we obtain that any space has continuous utility representations.

Some Properties of Two Kinds of Multifunctions

Let X and Y be metrizable topological linear spaces. In this paper, the following results are proved. (1) If X and Y are complete, g: X→Y is a point closed u. s. c.,and symmetric process with F(X)=Y,then either F(X) is meager in Y,or else F is an open muRifunction with F(X)=Y. (2) If X is complete, and F: X→Y is a process with a subclosed graph, then F is I s. c.. We also discuss topological multi-homomorphisms between topological linear spaces.

θ-Continuous Functions and θ-Compactness in Fuzzifying Topology

In this paper. the concepts of θ-continuous functions and θ-compactness in fyzzifying topology characterized in terms of θ-open sets is given.some properties of θ-continuous functions and θ-compactness are discussed.

Topological flat bands in twisted trilayer graphene

Twisted trilayer graphene(TLG)may be the simplest realistic system so far,which has flat bands with nontrivial topology.Here,we give a comprehensive calculation about its band structures and the band topology,i.e.,valley Chern number of the nearly flat bands,with the continuum model.With realistic parameters,the magic angle of twisted TLG is about 1.12°,at which two nearly flat bands appears.Unlike the twisted bilayer graphene,a small twist angle can induce a tiny gap at all the Dirac points,which can be enlarged further by a perpendicular electric field.The valley Chern numbers of the two nearly flat bands in the twisted TLG depends on the twist angleθand the perpendicular electric field E⊥.Considering its topological flat bands,the twisted TLG should be an ideal experimental platform to study the strongly correlated physics in topologically nontrivial flat band systems.And,due to its reduced symmetry,the correlated states in twisted TLG should be quite different from that in twisted bilayer graphene and twisted double bilayer graphene.

Spin-Orbit Coupled s-Wave Superconductor in One-Dimensional Optical Lattice

We study the topological properties of spin-orbit coupled s-wave superconductor in one-dimensional optical lattice. Compared to its corresponding continuum model, the single particle spectrum is modified by the optical lattice and the topological phase which is characterized by the Majorana edge modes can survive in two regions of the singleparticle spectrum. With the help of the self-consistent Bogoliubov-de Gennes calculation in the harmonic trap, we find that the existence of an upper critical magnetic field removes the topological superconductor phase to the trap wings.We also study the effects of nonmagnetic and magnetic impurity on the topological properties, and find the universal behavior of the mid-gap state induced by impurity in the topological superconductor phase in strong scattering limit.

ROBUSTNESS ANALYSIS OF LEADER-FOLLOWER CONSENSUS

In this paper,robustness properties of the leader-follower consensus are considered.Forsimplicity of presentation,the attention is focused on a group of continuous-time first-order dynamicagents with a time-invariant communication topology in the presence of communication errors.In orderto evaluate the robustness of leader-follower consensus,two robustness measures are proposed:the L_2gain of the error vector to the state of the network and the worst case L_2 gain at a node.Althoughthe L_2 gain of the error vector to the state of the network is widely used in robust control design andanalysis,the worst case L_2 gain at a node is less conservative with respect to the number of nodes inthe network.It is thus suggested that the worst case L_2 gain at a node is used when the robustnessof consensus is considered.Theoretical analysis and simulation results show that these two measuresare sensitive to the communication topology.In general,the 'optimal' communication topology thatcan achieve most robust performance with respect to either of the proposed robustness measures isdifficult to characterize and/or obtain.When the in-degree of each follower is one,it is shown thatboth measures reach a minimum when the leader can communicate to each node in the network.