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In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里,我们地德摩根代数中引进了伪度量,探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理,得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理,最后给出一个德摩根拓扑代数可度量化的充分条件。

In[5],combining the algebraic topology method,we have proven that conjunction matrix is complete topological invariant of bounded closed domain in plane under F-homeomorphism.so,for any two bounded closed domain in plane ?

主要原因在于拓扑不变量通常比较难算,没有比较实用的方法来恰当地提取图形的拓扑不变量,尤其是对较复杂的图形而言更是困难重重。

Cadastre, topological relations, spatio-temporal topological relations, the expression of model, calculation method

地籍,拓扑关系,时空拓扑关系,表达模型,计算方法

In application point of view, is a bridge between CAD and CAPP, furthermore, it is also a good connecter of geometry topology information of CAD and special engineering information to improve the utility of CAD, CAPP and CAM and to make new sense for parts CAD module, from combination of geometry topology information to special engineering information.

特征不仅仅是连接CAD与CAPP、CAM等领域的一个桥梁,更重要的是它可将CAD中的几何拓扑信息与具体的工程信息紧密地连接起来,提高了CAD、CAPP、CAM等的实际应用成熟度,使得产品模型由原始无工程意义的几何拓扑信息组合变为具有工程意义的特征信息组合。

In application point of view, is a bridge between CAD and CAPP, furthermore, it is also a good connecter of geometry topology information of CAD and special engineering information to improve the utility of CAD, CAPP and CAM and to make new sense for part's CAD module, from combination of geometry topology information to special engineering information.

特征不仅仅是连接CAD与CAPP、CAM等领域的一个桥梁,更重要的是它可将CAD中的几何拓扑信息与具体的工程信息紧密地连接起来,提高了CAD、CAPP、CAM等的实际应用成熟度,使得产品模型由原始无工程意义的几何拓扑信息组合变为具有工程意义的特征信息组合。

The circuit topology of the differential Forward DC-DC converter mode inverter with high frequency link was proposed. Circuit topology, transient voltage control strategy, steady principle characteristic and design criteria for the key circuit parameters were deeply investigated.

提出差动正激直流变换器型高频环节逆变器电路拓扑,并对该变换器的电路拓扑、瞬时电压控制策略、稳态原理特性、关键电路参数设计准则等进行了深入地分析研究。

In order to implement Boolean operations on open or closed mesh models with different complexities correctly,a new algorithm for 3D mesh model by using Boolean operations is presented,which is based on the orientability of manifold meshes and the topological relationship of the meshes.

为了快速正确地对各种复杂程度的网格模型进行空间布尔运算,根据复式网格的可定向性建立各元素间的拓扑关系,并根据这些拓扑关系判断网格面片的最终去舍,得到布尔运算结果。

After this, users can compare the current topology view with standard topology view or any history topology view, this function would help users to discover the failure of the network expediently.

系统还提供了标准拓扑配置和拓扑间比较的功能,这都可以有效地提高系统的监控能力。

The theory of graphs and relations between the spectra and fixed variate (e.g. chromatic number, degree sequence, diameter and connectivity) of graphs by means of the well-developed theory and technique of algebra, topological structure properties of graph, combination and matrix theories so as to establish firm essential relation between the algebraic properties and topological properties of graphs and networks.

图谱理论的研究主要是利用成熟的代数理论和技巧,并结合图的拓扑结构性质和组合数学的理论、矩阵理论来研究图谱及其与图的结构性质、图的其它不变量(如色数,度序列,直径,连通度等)之间的关系,将图与网络的代数性质与图的拓扑性质紧密地联系在—起。

In chapter 1, an up to now synthetically evaluation is given on the research ways and conclusions about jet in cross-flow. Considering the shortage of previous research ways and techniques (the instantaneous flow field and vortices field can not be properly get), in addition to the deficiency of corresponding conclusion (mainly concentrate on the analysis of time-average but little on structures of flow and action of vortex), the research way and content is draft out in this part. Though PIV, the time-average, instantaneous flow field and vortices field can be get, that will unveil the coherent vortex and its course of generation, development and evolvement, with the assistance of K-ε model and Hybrid Finite Analytic Method , which will proof-test the experiment result and bring some complementary, more profound research about the 3-D characters can be done. Using some fundamental topological theory and principle on flow analysis, with anglicizing of vortex structure, a reasonable description is the topological characteristic of near field in JICF given.

首先在第一章中对横流中湍射流的以往研究方法和研究成果给予了综合的评述,针对横流中湍射流旋涡结构以往研究中研究方法的局限性(不能很好得到流动的瞬态流场及涡量场)和相应研究成果中存在的不足(大都集中在时均特性的分析,对流动的内部结构和旋涡的运动阐述很少),明确了本文的研究方法和研究内容:通过PIV流动测量显示技术得到流动的时均及瞬态流场、涡量场,来揭示横流中湍射流的时均、瞬态流场、涡量分布特性,和各种具有拟序结构性质的复杂涡系的产生、发展及演化过程;结合湍流k-ε双方程模型及相应的HFAM计算方法,对于实验进行相互验证和补充,从而更为充分地研究各种旋涡的三维特性;利用拓扑分析的一些基本原理及相关规则,依据对各种旋涡结构的分析,做出对射流近区流场拓扑性质的合理描述。

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