拓撲學 的英文怎麼說

中文拼音 [tàpūxué]
拓撲學 英文
[數學] topology; analysis situs拓撲學家 topologist
  • 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...
  1. At this time the subject of topology was known as analysis situs.

    在這個時候，拓撲學被稱做位置幾何學。
  2. 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。
  3. 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。
  4. 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。
  5. 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。
  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. 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。
  8. Students of topology will recognize this situation.

    學習拓撲學的學生將理解這一情況。
  9. 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。
  10. Continuous quick freezing apparatus. part 1 : terminology. topology

    連續速凍設備.第1部分:術語.拓撲學
  11. 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。
  12. 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
  13. 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。
  14. 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
  15. 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
  16. Reseachers who study topology have preliminarily explored go - spaces in early twentieth century

    早在20世紀初拓撲學工作者已對go -空間作了初步探討。
  17. To understand the poincar conjecture and perelman ' s proof in greater depth, you have to know something about topology

    如果要更深入理解龐卡赫猜想與帕瑞爾曼的證明，你必須懂一點拓撲學。
  18. Early topologists set out to discover how many other topologically distinct entities exist and how they could be characterized

    早期的拓撲學家就已開始探討究竟有多少拓撲上相異的物體，以及如何將它們分類。
  19. 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。
  20. What interests topologists most are the surfaces of the ball and the doughnut, so instead of imagining a solid we should imagine a balloon in both cases

    拓撲學家最感興趣的是球和甜甜圈的表面，我們不把它們看成是實心的物體，而是像氣球的東西。
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