topological mapping 中文意思是什麼

In chapter 3, the push / pull pattern is gived out for the system realtime alarm. and the file interface of the alarm data, the algorithm of alarm position based on mapping and the algorithm of alarm icon position on the topological graph are designed. after explaining the principle of network software development using the windows socket, the push technology based on csocket is adopted to push alarm event and the pull technology based on http to pull the alarm page

第三章，給出了實時告警的push pull模式，設計了告警數據文件介面、基於映射的告警點定位新演算法和告警圖標網路拓撲圖上定位演算法，給出了基於windowssocket進行網路應用開發的原理，採用基於csocket的push技術來實現告警事件的推送，利用傳統的基於http的pull技術來實現告警頁面的拉取。

Based on this kind of relations between the topological structures and the content distributions we study the web modelling, community identification and some related application problems in detail : first, after some existed characteristics of the web topology are verified, some new characteristics are discovered : the high clustering property in micro - topology ( high average gathering coefficient ), the obvious mapping relation between the topological struture and the content in micro - level 、 linear irrelevant between the degree distribution of network nodes and the relative degree distribution of contents etc. then after analysis the topology of the complex network and the network modeling, the muti - scale determinism is proposed, especially for the information network a web evolvement model ( prcp model ) that fused the node authority and the node correlation is proposed. the model deduction, evolving learning verification and large scale experiment proof indicate that the model can explain the micro - topology centralizing phenomena, can imitate the mapping relation between the network connecting distribution and network content relative distribution and also can predict the mapping relation between the topology clustering and content clustering

本文在詳細觀察了web網路的拓撲結構特徵以及拓撲結構與內容分佈相互關系的基礎上，以信息網路的物理連接拓撲結構與節點內容相關度分佈之間的相互關系為主線，從網路特徵、網路建模、社區分析及相關應用方面問題進行了深入細致地探討:首先在驗證了前人提出的web網路拓撲結構特徵基礎上，進一步發現了信息網路所具有的一些新特徵: 1 ）網路微觀顆粒度的拓撲結構聚團與內容聚團存在明顯的映射關系，具體包括節點之間的物理連邊概率與節點之間的內容相關度成指數比例關系、節點形成三角形拓撲結構的概率與節點內容相關緊密程度之間同樣具有一種指數比例關系; 2 ）網路節點連接度整體分佈與節點內容相關度整體分佈是線性無關的; 3 ）網路微觀拓撲結構中的存在很強的集聚性（平均聚團系數很高） 。

A physiological research study based on electromyographic signals honda, 1996 suggested that speech communication in human brain might be based on a topological mapping between speech production and perception, according to an analogous topology between motor and sensory representations

Honda在運用肌電圖的生理學研究中根據語音的運動和感知表象的拓撲相似性提出了一個假設，即語音在人腦中的信息傳遞和處理可能是通過語言生成和語音感知之間高效率的拓撲映射實現的。

The strong semi - open sets and weakly mapping in l smooth topological spaces

光滑拓撲空間中的強半開集強半閉集

It is a main task of general topology to compare different spaces. mappings which connect different spaces are important tools to complete it. which mapping preserves some special generalized metric space is a basic probleme in investigating generalized metric spaces by mappings. g - first countable spaces and g - metri / able spaces have many important topological properities so to investigate which mapping preserves them is very necessary. in [ 7 ], clnian liu and mu - ming dai prove that open - closed mappings preserve g - metri / able spaces ; whether open mappings preserve g - first countable spaces is an open probleme asked by tanaka in [ 6 ]. in [ 4 ], sheng - xiang xia introduces weak opewn mappings and investigates the relations between them and 1 - sequence - covering mappings. in the second section of this article, we investigate weak open mappings have the relations with other mappings and prove that the finite - to - one weak open mappings preserve g - first countable, spaces and weak open closed mapping preserve g - metrizable spaces. in the third section, we investigate an example to show that perfect mappings do not preserve g - first countable spaces, g - metrizable spaces, sn - first countable spaces and sn - metrizable spaces

在文獻[ 4 ]中，夏省祥引進了弱開映射，並研究了它和1 -序列覆蓋映射的關系。本文在第二節研究了弱開映射與序列商映射，幾乎開映射的關系，證明了有限到一的弱開映射保持g -第一可數空間；弱開閉映射保持g -度量空間。第三節研究了文獻[ 5 ]中的一個例子，證明了完備映射不保持g -第一可數空間， g -度量空間， sn -第一可數空間， sn -度量空間。

The primary studies in this paper are the following : ( 1 ) we define a generalized alexandroff topology on an l - fuzzy quasi ordered set which is a generalization of the alexandroff topology on an ordinary quasi ordered set, prove that the generalized alexandroff topology on an l - quasi ordered set ( x, e ) can be obtained by the join of a family of the alexandroff topologies on it, a topology on any topological space can be represented as a generalized alexandroff topology on some l - quasi ordered set, and the generalized alexandroff topologies on l - fuzzy quasi ordered sets are generalizations of the generalized alexandroff topologies on generalized ultrametric spaces which are defined by j. j. m. m. rutten etc. ( 2 ) by introducing the concepts of the join of l - fuzzy set on an l - fuzzy partial ordered set with respect to the l - fuzzy partial order and l - fuzzy directed set on an l - fuzzy quasi ordered set ( with respect to the l - fuzzy quasi order ), we define l - fuzzy directed - complete l - fuzzy partial ordered set ( or briefly, l - fuzzy dcpo or l - fuzzy domain ) and l - fuzzy scott continuous mapping, prove that they are respectively generalizations of ordinary dcpo and scott continuous mapping, when l is a completely distributive lattice with order - reversing involution, the category l - fdom of l - fuzzy domains and l - fuzzy scott continuous mappings is isomorphic to a special kind of the category of v - domains and scott continuous mappings, that is, the category l - dcqum of directed - complete l - quasi ultrametric spaces and scott continuous mappings, and when l is a completely distributive lattice in which 1 is a molecule, l - fuzzy domains and l - fuzzy scott continuous mappings are consistent to directed lim inf complete categories and lim inf co ntinuous mappings in [ 59 ]

本文主要工作是： （ 1 ）在l - fuzzy擬序集上定義廣義alexandroff拓撲，證明了它是通常擬序集上alexandroff拓撲的推廣，一個l - fuzzy擬序集（ x ， e ）上的廣義alexandroff拓撲可以由其上一族alexandroff拓撲取並得到，任意一個拓撲空間的拓撲都可以表示為某個l - fuzzy擬序集上的廣義alexandroff拓撲，以及l - fuzzy擬序集上的廣義alexandroff拓撲是j . j . m . m . rutten等定義的廣義超度量空間上廣義alexandroff拓撲的推廣。 （ 2 ）通過引入l - fuzzy偏序集上的l - fuzzy集關于l - fuzzy偏序的並以及l - fuzzy擬序集上（關于l - fuzzy擬序）的l - fuzzy定向集等概念，定義了l - fuzzy定向完備的l - fuzzy偏序集（簡稱l - fuzzydcpo ，又叫l - fuzzydomain ）和l - fuzzyscott連續映射，證明了它們分別是通常的dcpo和scott連續映射的推廣，當l是帶有逆序對合對應的完全分配格時，以l - fuzzydomain為對象， l - fuzzyscott連續映射為態射的范疇l - fdom同構於一類特殊的v - domain范疇，即以定向完備的l -值擬超度量空間為對象， scott連續映射為態射的范疇l - dcqum ，以及當l是1為分子的完全分配格時， l - fuzzydomain和l - fuzzyscott連續映射一致於k . wagner在[ 59 ]中定義的定向liminf完備的-范疇和liminf連續映射。

At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces

首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。

Under several suitable transformations, the problem of positive solutions for set - valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method

摘要本文用某種同倫方法，藉助於一些適當的變換，討論了有序的局部凸拓撲線性空間中集值凝聚映象方程的正解問題。

With developing fuzzy mathematics, the importance of set value mapping has been highlighted, so that the upgrade of all kinds of the structures, such as ordered, topological measurable structure, etc, have been considered

模糊數學理論的發展突出了集值映射的重要性，各種數學結構需要由論域向其冪集上提升，如序結構的提升，拓撲結構的提升，可測結構的提升等等。

The topological convergence of the cone weak subdifferential of set - valued mapping sequence

集值映射序列的錐弱次微分的拓樸收斂性

Because ann can be used without the specific model of object, and it stores useful information as distributed manner, we usually make use of the topological structure and weights of neural network to realize nonlinear mapping, which make those weights full of meaning

由於模糊神經網路不需要對象的精確模型，它以分佈的方式存儲信息，利用網路的拓撲結構和權值分佈實現非線性映射，在神經網路框架下引入模糊規則，使網路中的權值有明顯的意義。

Aimed at that error may occur in feature - editing, feature - editing is researched, based on the topological mapping algorithms, the function of feature editing is implemented

針對特徵編輯參中常會出現的不合理結果，藉助于標識匹配演算法，設計並實現了特徵編輯演算法，可較為合理地實現特徵編輯。

Adopting the globe pole mapping method of space analytic geometry, forming a topological mapping model from the high dimensionality vector to the low one, and then realizing a corresponding mapping from the rectangular matrix high dimensionality space text set to the low dimensionality space text set, finally, composing the corresponding arithmetics, accordingly solving the problem of nonlinear dimensionality reduction for text mining effectively, and overcoming some drawbacks in the former researches

摘要採用了空間解析幾何中的球極映射方法，形成高維向量到低維向量的拓撲變換模型，實現了矩陣形式的高維空間文本集合到低維空間文本集合的一一映射，編制了相應的演算法，從而有效地解決了文本挖掘中的非線性降維問題，克服了以往研究中的缺陷。

We define generalized scott topology on an l - fuzzy domain, prove that it is a generalization of scott topology on ordinary domain, and an l - fuzzy monotone mapping is an l - fuzzy scott continuous mapping if and only if it is continuous with respect to the generalized scott topologies, which means that topological continuity is identical to limit continuity

在l - fuzzydomain上定義廣義scott拓撲，證明了它是通常domain上的scott拓撲的推廣，並且滿足拓撲連續與極限連續一致，即一個l - fuzzy單調映射是l - fuzzyscott連續映射當且僅當它關于其上的廣義scott拓撲連續。

On fixed point theorems for - contraction mapping in topological spaces

壓縮映象的不動點定理

Upgrade of self - mapping for torus in the topological space

環面自映射在拓撲空間中的提升