拓撲數學 的英文怎麼說

中文拼音 [tàpūshǔxué]
拓撲數學 英文
topology
  • 拓 : 拓動詞（把碑刻、銅器等的形狀和上面的文字、圖形印下來; 拓印） make rubbings from inscriptions pict...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 數學 : mathematics
  1. Tokyo, 1988, 7 : 7 - 18. 14 maeda s. compensatory articulation during speech : evidence from the analysis of vocal tract shapes using an articulatory model. hardcastle, marchal speech production and speech modeling, dordrecht : kluwer academic publishers, 1990, pp. 131 - 149

    本文根據生理學實驗，心理學實驗和計算模型模擬的結果提出語音在大腦的語音生產系統和語音感知系統中的參數描述，並試圖證實語音至少是母音的感知過程是一個簡單的拓撲映射。
  2. And it is nothing other than the new philosophy of the nature whose characteristics are the quantification of substance and the mechanization of the movement that defends the existence and the property of this quantum second, the quantification of substance and the mechanization of the movement which are emphasized by the new philosophy of the nature offers a intuitionistic continuun which takes the extension of the space - time for the birth of calculous

    正是以物質的數量化和運動的機械化為特徵的新的自然哲學為這種量的存在及性質（特別是拓撲性質）和程序化的演算法提供辯護。其次，新的自然哲學所強調的物質的數量化和運動的機械化為微積分的產生提供了以時空廣延為模型的直觀連續統。
  3. In this thesis, used thermocouple to sense the temperature in the space of the hearth, attributed the thermocouple based on calorifics and scientific arithmetic, acquired data by data acquiring card, processed data according to the demand of setting up temperature model and drawing graphics and then caculated the coordinates of isothermal points and normals of isothermal facets, ascertained the order of connecting points and the model of construct, drawed the isothermal facet of temperature field with opengl at last

    通過數據採集板卡進行數據採集並與計算機介面進行數據處理。然後，將處理后特殊點的溫度數據依據marchingcubes演算法建立數學模型求取等溫面上的點的坐標及各點的法向量等。最後，確定計算的三維坐標點的連接順序和拓撲模型，利用opengl進行等溫面的繪制、消隱和模式變換等工作。
  4. The cardinal functions on continuous domains and some cartesian closed subcategories of slp liu ni abstract domain theory is an important study field of theoretical computer science

    正是這一特徵使domain理論成為理論計算機科學與格上拓撲學研究者共同感興趣的領域，並使domain理論與許多數學學科產生了密切的聯系。
  5. Not only does go - space provide rich examples, but also go - space buildes a bridge between general topology and related mathem atics branches, such as lattics theory, domain theory, graph theory, real number theory, etc. thus it is very important in theory and reality to study go - space

    在go -空間中，不僅給一般拓撲學提供了精彩豐富的例證，而且架設了一般拓撲學和相關數學分支的橋梁，如格論、 domain理論、圖論及實數理論等等。
  6. To now, the theories, fruits and methods of topology have already applied or seeped into almost every important field of mathematics even into physics, chemistry, bio - logy and engineering

    如今，拓撲學的理論，成果和方法已應用或滲透到幾乎每一個重要的數學領域以及物理，化學，生物乃至工程技術中。
  7. Meanwhile, on the fundamental parameters that can be acquired in the primary design stage of a new car or a car which it has put in used, this paper utilizes adams / car to establishes the simulation parametric modeling of a suspension according the topology structure of macpherson front suspension system, in this model, we considered the front suspension system, steering system and the tire model in detail, and the bushing effect was included in this study, and it is very convenience to carry out kinetics / elastic kinetics simulation. all kind of the suspension parameters on handling and stability and automobile comfort were analyzed

    Adams的實體數值懸架運動學模擬分析為懸架的設計開發提供了一種先進高效快捷的方法。與此同時，本文依據麥弗遜式前懸架的拓撲關系，利用設計階段的新車或者是正在使用的汽車的所能取得的基本參數，藉助adams car建立了懸架參數化模型，在這個模型里，考慮了轉向系統、輪胎、襯套等因數，因此可以方便地進行懸架運動學彈性運動學分析。
  8. Its importance may be judged from the fact that it has had many applications in fields as diverse as general topology, lattice theory, category theory and theoretical computer science as well as in many other areas of mathematics

    Domain理論為計算機程序設計語言的指稱語義學奠定了數學基礎，處于拓撲學，格論，范疇論及理論計算機等多學科的交匯處，有著重要的研究價值。
  9. Electrical networks ; algebraification of topology and fundamentals of electrical network calculation

    電網.拓撲學的代數化和電網計算的基礎
  10. The classification of differential function germs whose codimention is less than or equal to 5 had been done by topologist r. thom

    對于余維小於等於5的可微函數芽的分類，拓撲學家r thom早就已經給出了分類結果。
  11. In order to prove the arbitrary cardinal number alexandroff - urysohn addition theorem put forward in 1923, the famous former soviet union topologist a. arhangel ' skii introduced network which is the important extension of base in 1959

    1959年前蘇聯著名拓撲學家a arhangel ' skii為了證明1923年提出的任意基數的alexandroff - urysohn加法定理，引進了基概念的重要推廣? ?網路（ network ） 。
  12. ( accession numbers : ay184425 - ay184440 ). combined with other several full 12s rrna sequences of chinese water deer, montijac, water deer, cow, horse, goat and tragulus retrieved from genbank database, the whole set of sequences was utilized for downstream analysis based on theories and models in molecular phylogeny, whereas the secondary structure of 12s rrna was predicted and analyzed based on present small subunit of ribosome model

    將上述序列與從genbank檢索到的獐、麂、水鹿、牛、馬、羊、鼷鹿的12srrna基因全序列一起，通過應用分子系統學理論與模型分析序列數據，以及對12srrna二級結構的分析，得出了以下主要結論： （ 1 ）用最小進化方法（ me ）和鄰接法（ nj ）對12srrna基因的全序列構建分子系統樹的拓撲結構基本相同。
  13. 2. considering the characteristics of topology optimization of structures with discrete variables, a mathematics model of topology optimization of structures with discrete variables, including sectional variables and topology variables, with the aim of getting the minimum weight of the structures, is built up in this paper. this paper develops a from easy to difficult structure stability analysis mechanism, which

    2 .論文針對離散變量結構拓撲優化的特性，建立了包含截面設計變量和拓撲設計變量，以結構重量最小化為目標的離散變量結構拓撲優化數學模型，採用了由易到難的結構機動性分析機制，大大減少了結構重分析次數。
  14. 4. the system makes use of spatial analytic expression to analyze pipe - line ' s spatial data and build pipe - line spatial information topology relation. it implements the spatial data to be obtained effectively and to be organized scientifically

    利用空間解析式分析結點、管線段的空間幾何位置，以及諸元素之間的鄰接、關聯與包含關系，系統構建出管線空間拓撲關系，實現了空間數據的有效獲取和科學組織。
  15. Then, the mathematical models for workshop layout of general production line and automobile assembly - welding line are given, the topology model of multiple constraints expression and workshop layout is presented in depth, and then principles on position check and constraints check are also presented. a modified genetic algorithm is also proposed based on traditional generic algorithm

    在此基礎上，以物流優化和空間利用率最大化為目標，建立了車間設備布局的一般數學模型和汽車裝焊車間設備布局的數學模型;深入探討了多種約束表達和車間布局的拓撲模型，提出了約束檢驗的方法和位置判定的原則。
  16. Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups

    近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。
  17. In the research and development of general topology the metriz - able problem of the topological spaces was a central task interminally, this is because that metric spaces have a lot of good proverties, and they have important application in the field of math

    在一般拓撲學的研究和發展中，拓撲空間的可度量化問題始終是一個中心課題，這是因為度量空間具有許多良好的性質，在數學領域內有著重要的應用。
  18. Chaos in three typical topology power electronic converters with a close loop controller is studied. the discrete iterative model is established and analyzed for the chaos in close loop boost converter working in discontinuous conduct mode. the tracking control method is used to control chaos of this converter, simulation results show its effectiveness

    研究了三種典型拓撲結構的電力電子變換器閉環工作時的混沌現象，針對工作在電流斷續模式（ dcm ）下的boost變換器中的混沌現象，分析了其數學模型，並採用軌跡跟蹤控制方法進行了控制，模擬結果表明了該方法的有效性。
  19. With the development of computer networks and computing science, paralleling computer and interconnection networks, covering mathematics 、 computing science 、 information science and so on, are becoming one of the hotspots of computer science research. all kinds of interconnection networks with different topologies, such as ring, mesh, hypercube, star topology network etc., have been received rapidly development

    隨著計算機網路技術與計算科學的發展，并行計算機及其互連網路作為一個跨數學、計算科學與信息科學等多門學科的領域，逐漸成為計算機科學研究的熱點之一，各種拓撲結構的互連網路，如環、 mesh 、超立方體、星型網路等得到迅速發展。
  20. In this paper, of automobile frame feature and its material property, according to the requirement an optimal mathematical model is set up by use of combining the method of finite element analysis and the structural topology optimization design

    摘要採用有限元分析和結構拓撲優化設計相結合的方法，依據汽車車架的結構受力特性及其材料的性能要求，建立了優化數學模型。
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