度量空間 的英文怎麼說

中文拼音 [dùliángkōngjiān]
度量空間 英文
measurement space
  • 度 : 度動詞[書面語] （推測; 估計） surmise; estimate
  • 量 : 量動1. （度量） measure 2. （估量） estimate; size up
  • 空 : 空Ⅰ形容詞（不包含什麼; 裏面沒有東西或沒有內容; 不切實際的） empty; hollow; void Ⅱ名詞1 （天空） s...
  • 間 : 間Ⅰ名詞1 （中間） between; among 2 （一定的空間或時間里） with a definite time or space 3 （一間...
  • 度量 : 1. （計量長短） measure; metric; mensuration 2. （寬容人的限度） tolerance; magnanimity
  • 空間 : space; enclosure; room; blank; interspace
  1. Some properties of compactness on fuzzy metric spaces are studied, especially sequentially compactness, totally bounded sets, compact sets and compactness on the kind of spaces, and several theorems on compactness of fuzzy metric spaces are proved

    摘要研究了模糊度量空間的緊性，主要討論了列緊性、全有界性、自列緊性和緊性等，證明了幾個關于模糊度量空間緊性的命題和定理。
  2. In section 2. 2, it is proved that if an expansive homeomorphism of a compact metric space have the potp, then it has the potp in its basic sets

    2節證明了：對于緊致度量空間上的自同胚，若它有偽軌跟蹤性且是膨脹的，則它在鏈分支上保持偽軌跟蹤性。
  3. Uniform covers and compact images of metric spaces

    一致覆蓋和度量空間的緊映象
  4. Q - uniformly convex metric space and its application

    一致凸度量空間及其應用
  5. On the fixed point theorems for d - metric space

    度量空間一組不動點定理
  6. Interval - valued intuitionistic fuzzy metric space and its completeness

    度量空間及其完備性
  7. Images on locally separable metric spaces and related results

    局部可分度量空間的映象及其相關結果
  8. Pseudo - sequence - covering images of locally separable metric spaces

    局部可分度量空間的偽序列覆蓋映射
  9. Fixed point theorems of monotone mapping in ordered metric spaces

    半序度量空間中單調映射的不動點定理
  10. The compact - covering compact images of locally separable metric spaces

    局部可分度量空間的緊復蓋緊映象
  11. Fixed - point theorems in probabilistic n - meric space

    度量空間中的不動點定理
  12. Associated metric space

    相伴的度量空間
  13. Convex metric space

    凸度量空間
  14. Some sufficient and necessary conditions for the multi - step iterative sequences of the asymptotically quasi - nonexpansive mappings ti to converge to certain common fixed points in the convex metric space are obtained

    摘要研究了凸度量空間中用多步迭代序列來逼近漸近非擴張映象的不動點，並給出了其收斂于不動點的充分必要條件。
  15. Basic properties of the induced logic metric space are investigated, of which theories of divergency degree and consistency degree of a logic theory are developed, and three types of approximate reasoning models are proposed as well, and an elementary quantitative logic theory is hence established

    基於此，提出了公式間的相似度與偽度量，研究了所得的邏輯度量空間的基本性質，提出並研究了邏輯理論的發散度與相容度概念，給出了三種近似推理的模式，初步建立了計量邏輯學理論。
  16. Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold

    黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。
  17. We can show the existence of solutions to the differential inclusions problem by baire category method, and so the formal problem. the main steps of using baire category method are as follows. first we construct a complete metric space v. then with the help of the likelihood functional, we obtain a series of open and dense subset vs in v. finally, by baire category theorem, we know that the subset vs is dense in v

    本文指出在適當的條件下，可以將原問題轉化為一個微分包含問題：對於此微分包含問題運用baire稠密性方法，構造一個完備的度量空間，也就是容許函數空間，再利用似然泛函構造出它的一列稠密開子集（實際上是逼近解集） ，從而由baire稠密性定理可以得到解的存在性。
  18. 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。
  19. It is a main task of general topology to compare different spaces. mappings which connect different spaces are important tools to complete it. which mapping preserves some special generalized metric space is a basic probleme in investigating generalized metric spaces by mappings. g - first countable spaces and g - metri / able spaces have many important topological properities so to investigate which mapping preserves them is very necessary. in [ 7 ], clnian liu and mu - ming dai prove that open - closed mappings preserve g - metri / able spaces ; whether open mappings preserve g - first countable spaces is an open probleme asked by tanaka in [ 6 ]. in [ 4 ], sheng - xiang xia introduces weak opewn mappings and investigates the relations between them and 1 - sequence - covering mappings. in the second section of this article, we investigate weak open mappings have the relations with other mappings and prove that the finite - to - one weak open mappings preserve g - first countable, spaces and weak open closed mapping preserve g - metrizable spaces. in the third section, we investigate an example to show that perfect mappings do not preserve g - first countable spaces, g - metrizable spaces, sn - first countable spaces and sn - metrizable spaces

    在文獻[ 4 ]中，夏省祥引進了弱開映射，並研究了它和1 -序列覆蓋映射的關系。本文在第二節研究了弱開映射與序列商映射，幾乎開映射的關系，證明了有限到一的弱開映射保持g -第一可數空間；弱開閉映射保持g -度量空間。第三節研究了文獻[ 5 ]中的一個例子，證明了完備映射不保持g -第一可數空間， g -度量空間， sn -第一可數空間， sn -度量空間。
  20. These achievements will enrich the relationship between pair - network and network, and further understand the internal connection between hereditarily closure - preserving families and point countable families or locally finite families, and better certain topological non - variability of the space with pair - networks, and enrich the theory of generalized metric space. this paper reached some principal conclusions about the space with - hereditarily closure - preserving pair - networks

    弱遺傳閉包保持雙網路空間的類似結構，這些結果將更加充實雙網路與網路之間的關系，進一步明確遺傳閉包保持集族與點可數集族或局部有限集族之間的內在聯系，完善由雙網路確定的空間關于拓撲運算下的某種不變性，豐富了廣義度量空間理論
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