topological order 中文意思是什麼

In order to make this technique be with the topological adaptability, we propose an efficient topological technique, which is based on the change of region euler number

同時也提出了基於區域歐拉數的拓撲自適應處理方案，有效地解決了參數型活動圍道方法中的拓撲自適應性問題。

Based on the optimal topological, structural modification has been implemented ; and it makes the structure has higher first - order natural frequency and less weight

在最優拓撲結構的基礎上進行結構修改後，一階固有頻率明顯提高，而重量有所減小。

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。

In this dissertation, we study the global topological classification and coefficient conditions of the plane homogeneous fifth polynomial differential system the main techniques used in this thesis includes the methods of the global structure and coefficient conditions of the plane homogeneous quadratic and cubic system mentioned in the paper [ 1 ] of professor ye yanqian, and the paper [ 2 ] of professor li xue min, also includes the idea to high - order critical point of professor zhang zhifen, lu yulin and han yuliang etc. due to the degree of polynomial in the right of equal - sign crease, when we discuss the global structure, the more special directions, the more difficulty in drawing phase portraits of this system

本文主要討論一類平面齊五次多項式微分系統的全局拓撲結構及系數條件。借鑒了文獻[ 1 ]葉彥謙教授對平面齊二次系統的全局結構及系數條件和文獻[ 2 ]李學敏教授對平面齊三次系統的全局結構及系數條件的研究方法，同時綜合了張芷芬教授、陸毓麟教授、韓玉良教授等人對高次奇點的研究思想進行討論。這樣，由於等號右邊多項式次數的增加，討論系統的全局結構時，可能出現的特殊方向就會增加，在作全局相圖時，難度增大了。

It is shown that the origin is indeed a critical point of higher order. there exsist different kinds of topological structures in a neighborhood of the origin

原點是一個高階奇點，在它的鄰域內存在多種拓撲結構。

Computation for topological degree and applications to singular superlinear boundary value problems of fourth - order differential equations

拓撲度的計算及其對超線性奇異四階微分方程的應用

In this paper, a new method of computation of topological degree is given with the theory of cones and applied to the singular superlinear boundary value problems of fourth - order differential equations

摘要利用錐理論給出了新的拓撲度計算方法，並應用於超線性奇異四階微分方程邊值問題。

In this paper the topological structure of multi - body system and their low - order body arrays, and basic concepts of characteristic matrixes and their composing methods are presented, basic rules of having - error kinematics of multi - body system are analyzed, 891e gear measurement center taken as an example, volumetric geometirc errors of gear measurement center based on characteristic matrixes are researched, it provides a kind of ideal method of model building for the precision analysis and geometric errors of gear measurement center

摘要本文闡述了多體系統的拓撲結構和低序體陣列，其特徵矩陣的基本概念和構建方法，分析了多體系統誤差運動的基本規律，結合891e型齒輪測量中心研究了根據特徵矩陣得到其空間幾何誤差的演算法，為齒輪測量中心精度分析和幾何誤差提供了一種理想的建模方法。

Strongly semi - precontinuous order - homomorphism in l - fuzzy topological spaces

拓撲空間中的強半預連續序同態

In order to maintain the intent of designers and satisfy them, the concept of the cellular model is put forward based on old design system. methods of naming topological entities and managing constraints are illustrated in this system

為了能夠正確地維護設計者的設計意圖和滿足用戶的需求，本文在原系統的基礎之上，提出了基於細胞元的特徵約束模型，並給出了在拓撲元素編碼與約束關系管理體系之下，特徵拓撲元素編碼和約束關系管理的方法。