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By dropping this assumption of fixed topology and metric, one can investigate alternative theories within differential geometry that yield an appropriately changing topological structure, and search for and check its testable consequences.

通过抛弃这一拓与量度确定不变的假设,在一个能生成一种适当的变化性拓架构的微分几何学之中,我们就可以探究其他的理论并寻找与检验其可检验的结果。

A 4 Quantity Model (4QM) for partitioned area entities in terrain OTIN via combining topology relation with metric relation is proposed subsequently. Spatial topological relation and metric relation are described in one model.

将拓和度量关系相结合,本文给出了地形OTIN中剖分面状地理实体的4数模型(4QM),使得拓关系和度量关系表达在同一个模型中。4QM可以作为地形OTIN中地理实体边界简化的参考。

The research conducted in this paper solves the symbolic structure of the devil's carpet and the metrization of the plateau of an equal topological entropy class, and presents the symbolic description and visual realization of equal entropy fractals.

本研究解决了拓熵魔毯的符号结构和等拓熵类平台的度量刻划;获得了等熵分形的符号刻划及直观实现。

The research conducted in this paper solves the symbolic structure of the devils carpet and the metrization of the plateau of an equal topological entropy class, and presents the symbolic description and visual realization of equal entropy fractals.

本研究解决了拓熵魔毯的符号结构和等拓熵类平台的度量刻划;获得了等熵分形的符号刻划及直观实现。

Lacking necessary metrization, RCC only describe spatial topological relations roughly without further accurateness, and it is also not easy to describe spatial relations such as distance, direction and so on, with the exclusion of topological relation.

但由于缺乏必要的度量,RCC只是粗略地描述空间拓关系而难以对其更准确地描述,也难以利用RCC描述除拓关系之外的其它空间关系,如距离、方向等。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理,利用映射的拓可分性,在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理;然后利用W-对应,在H-空间上建立了广义的变分不等式;利用H-KKM映射,在H-空间上建立了广义的KyFan极小极大不等式;最后,利用H-凸性代替拓线性结构,在H-空间上建立了一个新型的Browder不动点定理。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源:3282AB83C论文网www.abclunwen.com),建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理,并在拓向量空间中定义了C_x-拟单调算子,引入了闭凸集K的inner点,给出了inner点与相对代数内点的关系,利用innK_c代替K的拓内部,建立了新的拟单调向量变分不等式。

In order to solve the problem of assigning minimum protection capacity, some ideal topologies are given and the algorithm of spanning tree construction is analyzed, and then an algorithm based on these is proposed to solve the problem of one link failure.

为了解决如何分配更少的保护容量的问题,该文提出了一些理想的拓结构,研究了支撑树算法。在这两者的基础上针对一条链路出现故障的问题给出了利用理想拓的保护容量分配算法。

There are complex variations in realistic low-voltage power line network topology framework.In order to study the low-voltage power line transmission channel model,a model to describe the power line network channel topology framework is established in terms of basic characteristics of low-voltage power line network in this paper.

低压电力线网络拓结构变化复杂,为了研究低压电力线信道传输模型,根据低压电力线网络的基本特点建立了描述电力线网络拓结构的模型,利用模型把低压电力信道作为一个过程去描述,建立了节点信号传输函数来推导低压电力线网络的传递函数。

Based upon the idea of space partition and object decomposition, topological components of an area object with holes are defined by the use of the concept of neighborhood in the point set topology, which is a natural extension of the definitions for topological components of a simple area.

本文基于空间划分和目标分解的思想,利用点集理论中的邻域概念详细分析和描述带孔洞面目标的点集拓分量,这种描述方法实质上是简单面目标点集拓分量描述的一种自然延展。

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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。

Closes the eye, the deep breathing, all no longer are the dreams as if......

关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。