metric space 中文意思是什麼

metric space 解釋
度量空間。

  • metric : adj. 1. 公制的，米制的；十進制的；習慣于用公制的。2. 度量的。
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  1. 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。
  2. Lipschitz - operator algebras on non - compact metric space

    空間上運算元代數的超自反性
  3. Q - uniformly convex metric space and its application

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

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

    度量空間及其完備性
  6. Fixed degree of fuzzy mapping in fuzzy metric space

    映射的不動度
  7. Associated metric space

    相伴的度量空間
  8. Convex metric space

    凸度量空間
  9. 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。
  10. Abstract : in this paper, we get some new coincidence point theorems and several fixed point theorems for expansive mappings. in addition we get some fixed point theorems for nonexpansive mapping on a convex metric space. the main results are theorem2 and theorem7, and theorem9

    文摘:給出了某些新的重合點定理和幾個擴張映射的不動點定理，還得到在凸距離空間中非擴張映射的不動點定理，主要結果是定理2與定理7 、定理9
  11. 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。
  12. 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。
  13. 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。
  14. The second chapter sets forth the theorem basis of fractal image compression. by researching the property of iterate function system in metric space, two basic theorems are brought outthe fixed - point theorem of contract mapping and collage theorem. in the third chapter, fractal image compression method based on block partition is discussed and implemented

    接著在第二章中闡述了分形圖象壓縮的理論基礎，通過對完備空間中迭代函數系統性質的研究，提出了分形圖象壓縮的兩個基本定理：壓縮映射的不動點定理和拼貼定理。
  15. 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。
  16. 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
  17. 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。
  18. In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence - distribution - scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy

    摘要證明緊度量空間的極小映射以及拓撲熵為零的區間映射不存在具有非零不變概率測度的混沌子集，特別不存在具有非零不變概率測度的序列分佈混沌子集。
  19. Compact metric space

    緊度量空間
  20. In this paper, to study fixed - point of compact metric space, and obtain one pair fixed - point theorems of expansion mapping and compression mapping. the results are improved in the papers [ 1 ], [ 2 ]

    摘要研究了緊度量空間上的不動點問題。得到擴張映射與壓縮映射的不動點定理。推廣了文獻[ 1 ] 、 [ 2 ]的結果。
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