拓撲學的 的英文怎麼說

中文拼音 [tàpūxuéde]
拓撲學的 英文
topological
  • 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...
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 的 : 4次方是 The fourth power of 2 is direction
  1. The hypothesis that conodonts are vertebrates has been supported by the evidence of the microstructural, topological and developmental homology of hard tissues between conodonts and vertebrates

    牙形動物是脊椎動物的假說已經有牙形動物和脊椎動物之間微觀構造的拓撲學的以及發育學的同源性的證據。
  2. 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。
  3. 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。
  4. As we all known, with the founding of euclidean geometry in ancient greece, with the development of analytic geometry and other kinds of geometries, with f. kline " s erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on, man has developed their understand of geometry. on the other hand, euclid formed geometry as a deductive system by using axiomatic theory for the first time. the content and method of geometry have dramatically changed, but the geometry curriculum has not changed correspondingly until the first strike from kline and perry " s appealing

    縱觀幾何學發展的歷史，可以稱得上波瀾壯闊：一方面，從古希臘時代的歐氏綜合幾何，到近代解析幾何等多種幾何的發展，以及用變換的方法處理幾何的埃爾朗根綱領，到20世紀拓撲學、高維空間理論等幾何學的新發展，這一切都在不斷豐富人們對幾何學的認識；另一方面，從歐幾里得第一次使用公理化方法把幾何學組織成一個邏輯演繹體系，到羅巴切夫斯基非歐幾何的發現，以及希爾伯特形式公理體系的建立，極大地發展了公理化思想方法，不管是幾何學的內容還是方法都發生了質的飛躍。
  5. 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。
  6. In the first part, the concepts of the completely normal spaces and strong completely normal spaces in l - topological spaces are defined, which are the generalization of the completely normal spaces in general topological spaces. they are some good properties such as hereditary, weakly homeomorphism invariant properties, good l - extension, but they are n ' t producible in general. moreover, their several sufficient and necessary conditions in induced spaces are presented

    第一部分的主要內容如下：第一部分這一部分是將一般拓撲學的完全正規分離性的概念推廣到了l -拓撲空間，給出了l -拓撲空間的完全正規分離性和強完全正規分離性的定義並討論了它們的若干性質，比如，它們都是可遺傳的，弱同胚不變的， 「 lowen意義下好的推廣」等。
  7. Students of topology will recognize this situation.

    學習拓撲學的學生將理解這一情況。
  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. Topologically, then, a sphere and a torus are distinct entities

    所以就拓撲學而言，球和環面是不同的東西。
  10. General topology has gone through over one hundred years " development

    一般拓撲學經歷了一百多年的漫長發展歷史
  11. But topology is no queerer than the physical world as we now interpret it

    但是拓撲學並不比我們目前所能理解的物質世界更奇特。
  12. Electrical networks ; concepts related to topology of electrical networks and theory of graphs

    電網.與電網拓撲學和曲線圖解原理有關的概念
  13. 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
  14. Its propositions hold as well for objects made of rubber as for the rigid figures encountered in metric geometry

    拓撲學的一些定理適用於橡膠製成的（可變形的）物體，也同樣適用於在度量幾何學中討論的剛性圖形。
  15. A series of results of relative separation properties and relative compactness are obtained in l - fuzzy topological spaces

    本文得到了l - fuzzy拓撲空間中相對分離性與相對緊性的一系列結果，從而豐富了l - fuzzy拓撲學的內容。
  16. 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。
  17. Properties of the relative topology have always played essential roles in topological spaces. until now, some important results have been obtained in general topological spaces, especially on the relative separation axioms and relative compactness

    自從20世紀80年代a . v . arhangel 』 skii提出並系統地介紹了相對拓撲性質以來，相對拓撲性質一直是人們關注並不斷研究的課題，特別是在一般拓撲學的相對分離性與相對緊性方面獲得了相當有趣的結論。
  18. So far, mathematicians who study topology have obtained substantial achievements in important topological directions, such as generalized metric space, cardinal function, compactness, dimension theory, etc. but what is worth to paying attention to is that we often draw on one special type of topological space to think and solve problems, for example, the classical structures, sorgenfrey line k, michael line rq, niemytzki planetv, kxk, # q xp, etc. ; subtle and profound topological properties aredetailedly characterized by them

    而值得注意的是，在一般拓撲學的研究歷史中，我們常常藉助一類特殊的空間來思考和解決問題，如我們熟悉的經典構造： sorgenfrey直線k 、 michael直線r _ q 、 niemytzki平面n 、 k k 、 r _ q p等等，漂亮地刻畫了細微而深奧的拓撲性質。
  19. The paper do n ' t attempt to definite new generalized metric space classes and new covers and mappings. this is because in the development of revent several decades in topology, the space classes were definited by all sorts of formal generalizations have reached a flooded extent, continual introduction of new spaces and over tiny division have made topology develop to an empty theorical margin

    本文不試圖去定義新的廣義度量空間類以及新的覆蓋與映射，這是因為近幾十年拓撲學的發展，各種形式的「推廣」所定義的空間類已達到泛濫的程度，新空間的不斷引入，過細的劃分使得拓撲學似乎發展到了空洞的理論邊緣。
  20. The conception of financial ecology provides a new research method for finance - the essential motivity of economics. it emphasizes the system view of financial field and the unfinancial field concerned as whole and the financial risk concerned with the financial external surroundings. the financial field is faced with complete opening from china affiliated to wto, and it takes rigorous test to our financial ecology

    在本文的研究中，運用了系統論、信息論的觀點和拓撲學的方法，通過構建金融生態中信息的響應函數和資源配置的結果函數，建立從金融生態的系統空間到信息空間，再到資源配置空間的映射，分析金融生態中的信息集中和信息分散的過程，從宏觀的運行機制上研究金融生態的信息效率問題。
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