運算元拓撲 的英文怎麼說
中文拼音 [yùnsuànyuántàpū]
運算元拓撲
英文
operator topology-
In this paper, an isolated point operator was used to define a topology on an abstract set
摘要在本文中，筆者使用了孤立運算元定義拓撲。At first, in order to prevent the premature convergence of genetic algorithm effectively, the author brings forward a novel dyadic floating - point supplementary mutation operator. then, simulating the natural evolution, the author presents a novel topology, unoriented - connected topology, for parallel genetic algorithm. in the end, an interval decomposed optimization method is brought forward for ipga, which can improve the optimization performance of the algorithm
為提高演算法的性能，作者對遺傳演算法進行三種改進：首先，為克服遺傳演算法早熟收斂，作者提出一種新的二元浮點補碼變異運算元；其次，模擬生物自然進化模式，為并行遺傳演算法提出了一個新的并行拓撲結構- - - -無定向拓撲連接；最後，作者提出一種區間分解優化思想，來提高對最優解的搜索能力。In addition, the paper will analyze the existence condition for nonwandering semigroup by the methods of topological dynamical system. from the mature results of finite dimensional space, such as the topological mixing, we discuss any other methods to solve the problems of infinite dimensional space, so as to provide the similar methods for the similar work
另一方面，本文將結合微分動力系統和拓撲動力系統的研究方法，主要從微分動力系統的角度，從根本上分析非游蕩運算元半群存在的條件，並結合與此密切相關的有限維空間的一些成熟的理論，如拓撲動力系統中的拓撲混合性等，從不同角度試圖解決無窮維空間的結論。In this paper, how to design the fitness function, encoding method, selection method, crossover method and mutaion method are discussed in detail
實驗結果表明本文設計的遺傳演算法的編碼方法和遺傳運算元是適合問題求解的。拓撲優化的結果是令人滿意的。To completely avoid producing elements jointed at their corner nodes and checkerboard patterns, which frequently occur when the topology optimization of plane continuum is studied, the theory of topology analysis of plane continuum in topology optimization process and the simple algorithm for programming are studied. according to algebraic topology theory, the boundary of elements and plane continuum are operated as a one - dimensional complex. by use of the adjacency vector in graph theory, the structural topology is described and the topological operation is achieved on a computer. by above, the structural topological feature in the evolutionary process is gained. these methods are effcient and reliable. under topology constraints, according to the results of stress analysis, by deleting elements and moving nodes at the boundary, more satisfactory results can be gained by using a few numbers of elements and iterations. to demonstrate the efficiency of these methods, solutions including some well - known classical problems are presented
避免目前平面連續體結構拓撲優化過程中經常出現的單元鉸接以及「棋盤格」等現象，研究了連續體結構拓撲優化過程的拓撲分析方法，以及在計算機上實現的簡便演算法.根據代數拓撲理論，單元及連續體的邊界作為1 -復形進行運算.利用圖論中的鄰接向量概念，在計算機上實現了結構的拓撲描述及拓撲運算，得到了結構在拓撲演化過程中的拓撲特性，方法簡單、可靠.在一定的拓撲約束下，根據應力分析結果，採用刪除單元、單元退化、移動節點等方法，可以用較少單元得到更為滿意的結果，提高計算效率.為演示方法的有效性，給出幾個包括常見經典問題的解答On topological reflexivity of the spaces of derivations on operator algebras
運算元代數上導子空間的拓撲自反性Some notes for a c0 - semigroup with continuity in the uniform operator topology in hilbert space
0半群一致運算元拓撲連續的幾點注記The definitions are given of operator topology spaces, together with the operator continuous mapping of them. the characterizations of operator continuous mapping are also presented
摘要在運算元開集理論中給出了運算元拓撲空間的概念，並在該空間中討論了運算元連續映射，得到了運算元連續映射的等價刻劃。Professor guo dajun has summarized in his work [ 7 ]. such several important tasks and theirs application of nonlinear functional analysis as typical nonlinear operators, hammerstein integral operations, ordinarily and partially differential equations. the cone theory, the positive solutions of nonlinear operator equations, the number and the branch of solutions, and so on. reference [ 1 ] includes all levels of results of the domain such as nonlinear functional analysis
郭大鈞先生在專著[ 7 ]中對非線性泛函分析的幾個重要課題及其應用，諸如典型的非線性運算元、 hammerstein積分方程、常、偏微分方程、遷移方程、錐理論及非線性運算元方程的正解、非線性運算元拓撲度和不動點定理以及固有值、解的個數與分支，都做了系統的概括和總結In chapter 5 we introduce the concepts of topological reflexivity in several topologies, namely, the discrete, the norm, the strong and the weak operator topology. we prove that the spaces of (, ) - derivations on certain operator algebras are topologi - cally reflexive in the weak operator topology. the automorphisms and (, ) - derivations of reflexive algebras in banach spaces are also characterized in this chapter
在第五章中我們引進了在離散拓撲、范數拓撲、強運算元拓撲和弱運算元拓撲下的拓撲自反性，證明了某些運算元代數上（ ， ） ?導子空間在弱運算元拓撲下是拓撲自反性的，同時我們還刻畫了自反代數的自同構和（ ， ） ?導子。Alternatively, we investigate the relationships between the space of bounded operators and its regular operator subspace with respect to the operator norm topology, thereby answering partially the question of how big the regular operator subspace is and discussing the existence of strongly non - regular operators between some classical banach lattices
這里把這一問題轉化為考察有界線性運算元空間與它的正則運算元子空間在（一致）運算元拓撲之下的關系，從而部分的回答了正則運算元集合在有界線性運算元空間中有多大的問題，解決了經典banach格上強非正則運算元的存在性。A study on the vibration frequency detection of the dynamical systems using topology contravariant functor
基於拓撲反變運算元動力系統振動頻率檢測方法的研究Then, using recursive arithmetic calculated reliability indices for directory tree, the method was realized by vb program ; the other is a method of reliability evaluation by interval arithmetic, which is the use of interval arithmetic to evaluate reliability, and the computation theory is also given. during the calculation, interval number replaced the component " s parameter and it takes into consideration the uncertainty of all of the parameters. in the study of power distribution system configuration, a new configuration model is set up which takes into account simultaneously the losses minimization and system reliability, then improved genetic arithmetic is described detail and of advantage for solving this problem
在配電網可靠性評估的研究中，提出了兩種實用的配電網可靠性評估方法：其一是利用網路分層和遞歸演算法理論，使用高級語言進行程序設計，提出了一種基於vb編程的配電網可靠性評估方法，該方法通過程序實現了網路拓撲結構的分層等效和可靠性指標的遞歸計算，使整個計算過程得到了簡化，並且界面窗口的可視化，使得評估過程便捷、形象；其二是提出了一種基於區間演算法的配電網可靠性評估方法，該方法是一種利用區間理論計算配電系統可靠性的不確定性評估方法；文章給出了區間運算的原理；討論了配電系統中區間數據的來源途徑，並用區間數代替元件的可靠性參數，對輻射形配電網進行了可靠性評估。At first the approximate operators of rough sets are modified, so the new operators of union, intersection and complement and approximate power sets are presented. this has enriched rough sets theory from the operator - oriented and set - oriented views. then by combining topology, rough topology and approximate topologies are defined and researched
首先修正粗糙集近似運算元，提出近似集的新型並、交、補運算和近似冪集空間，從運算元論和集合論兩者的角度豐富了粗糙集理論；再結合拓撲，定義和研究了粗糙拓撲、近似拓撲。分享友人