In point set topological theory, open set and neighborhood are the basic concept.
在点集拓扑理论中，开集、域等是最基本的概念。
The research mainly to use topological theory in designing platen and draw some valuable conclusions.
本文探索了拓扑优化理论在注塑机模板实际设计中的应用，并得到了有实用价值的研究结论。
The annual surface flow in the Manas River of Xinjiang was chosen as object on the basis of discussion on the grey topological theory.
在进行灰色拓扑理论探讨的基础上，选取新疆玛纳斯河年径流作为预报对象。
Based on the topological theory and the property of polygon graph, a region-based stratum modeling method in slope stability analysis has been developed.
本文基于拓扑理论和多边形图的性质，提出了基于区域的二维边坡地层建模方法。
Liu, Xiongjun: Condensed matter theory and ultra-cold atoms, focused on topological phase of quantum matter, synthetic gauge field and spin-orbit coupling effect, many-body physics.
刘雄军：凝聚态理论和超冷原子气。主要关注量子物质拓扑相，摹拟规范场和自旋轨道耦合效应，以及多体物理。
This paper presents a topological technique for the sensitivity calculation by means of singal flow graphs theory.
本文提出用信号流图理论求灵敏度的一种拓扑方法。
Rein in Topological psychologies among the theory, propose three kinds of "pre-fact", which including "pre-physics, pre - society".
勒温的拓扑心理学理论中，提出了三类“准事实”——准物理的、准社会的、准概念的事实。
In the first chapter, the formation of topological space theory is simply introduced, as well as some knowledge about covering property and hyperspaces.
本文在第一章中简单的介绍了拓扑空间理论的形成，以及与覆盖性质、超空间相关的一些的知识。
This paper is aimed to study the KKM theory and its applications in general topological Spaces without any convexity structure.
本文的主要目的是在不具任何凸结构的一般拓扑空间中研究KKM理论及其应用。
Based on topological degree theory, periodic solutions for this system under impulsive conditions are studied.
利用拓扑度理论研究了在脉冲条件下这种系统的周期解。
This paper discusses the application of knot theory to quantum chaos, reveals the topological structure of the chaotic solution of quantum systems.
讨论了纽结理论对量子混沌的应用，并揭示了量子系统中混沌解的拓扑结构。
The fuzzy uniformization of fuzzy topological ring is an important problem in the fuzzy topological ring theory.
模糊拓扑环的模糊一致化问题是模糊拓扑环理论中的一个重要问题。
This paper gives a topological method for calculating the sensitivity by means of signal flow graph theory.
本文提出用信号流图理论求灵敏度的一个拓扑方法。
We apply complex network theory to analyze the topological properties of DLBCL gene network.
应用复杂网络理论研究DLBCL基因网络的拓扑结构特性。
The results concerning the existence, the uniqueness and the stability of stationary bifurcation solutions have been obtained by the bifurcation theory and topological degree theory.
应用分歧理论及拓扑度理论的方法，得到了定态分歧解的存在性、唯一性及稳定性。
The structure of preform is described, the processing parameters are predicted in theory and the designs of functional and structural composites are provided by the method of topological analysis.
本文用拓扑分析方法，对预制件结构做了说明，并对工艺参量进行了理论预测，为设计功能复合材料和特殊结构复合材料提供了新的手段。
Some efficient tools such as topological degree theory, fixed point theory and lower and upper method have been applied.
使用的主要方法有锥上的不动点理论、拓扑度理论和上下解方法等。
A good forecast result has been concluded with a topological prediction model of gray system theory based on the observation data of ground water table in Lanxi County.
地下水枯水期水位预报对春季农业生产具有重要意义，利用兰西县地下水水位观测资料，应用灰色系统理论的拓扑预测建立模型进行预测，取得了较好的结。
In this paper, according to inversion set and its topological space definition, we studied some mathematical definition and their relevant theorem of decision theory, and apply theory to practice.
将决策学中的一些概念推广到反演集合拓扑空间中，给出一些相关的定义、定理及其在实际工作中的应用。
Graph symmetry theory de-scribes the equivalence relationship on topological structure between graph objects (vertices and edges).
图对称理论刻画了网络中的对象(顶点和边)之间在拓扑结构上的等价关系。
According to the extensive theory of topological degree for set-valued mapping, the authors derive the topological degree for upper semicontinuous set-valued 1-set-contractive mapping.
由集值映射的拓扑度延拓理论，推导出了上半连续集值1 -集压缩映射的拓扑度。
Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.
今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。
The topology of surface flow and cross-sectional flow is further studied. This puts the above three elements in coordination under the instruction of the theory of topological structure.
同时进一步研究了表面流和横截面流的拓扑，使三者的协调还可在拓扑结构理论指导下进行。
Associating with real necessity of topic selection in graduation design, evaluation correlation function and topological mathematical model are established by matter element theory.
结合高校毕业设计选题的实际需要，利用物元理论，建立了基于毕业设计选题评价的关联函数和可拓评判的数学模型。
This thesis involves two main fields of research: topological field theory and General Relativity.
本论文在拓扑场论和广义相对论两个领域做了深入的研究。
In the paper, an uncertain reasoning method based on topological transformation is constructed by means of fuzzy topology and fuzzy mathematics theory.
本文用模糊拓扑和模糊数学的方法给出了一种基于拓扑变换的不确定性推理方法。
This paper tells us the conceive plan about effective management according to thematic data. geometrical data and topological data which is based on the theory of Object Oriented Database.
本文介绍应用面向对象的思想对专题地图数据厍中专题数据、几何数据、拓朴数据进行有效管理的设想。
There are two fields in topological graph theory: one is the study of the properties of graph embedding.
本文研究属第一个方面，即研究图的嵌入的最大亏格问题。
The complicated structure of the epicyclical gear train with multidegrees of freedom and planet carriers could be predigested into the topological graph by adopting the knowledge of graph theory.
利用图论知识，可将多自由度多行星架周转轮系的复杂结构简化为拓扑图。
The complicated structure of the epicyclical gear train with multidegrees of freedom and planet carriers could be predigested into the topological graph by adopting the knowledge of graph theory.
利用图论知识，可将多自由度多行星架周转轮系的复杂结构简化为拓扑图。
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