拓撲線性空間 的英文怎麼說

中文拼音 [tàpūxiànxìngkōngjiān]
拓撲線性空間 英文
topological linear space
  • 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...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 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...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  • 空間 : space; enclosure; room; blank; interspace
  1. A local convexity condition in locally bounded topological linear spaces

    局部有界拓撲線性空間的一個局部凸條件
  2. 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。
  3. On linearly topological structure and orthogonality of menger probabilistic inner product spaces

    概率內積空間的線性拓撲結構和正交性質
  4. The existence problem of linear non - continuous functionals on topological linear spaces

    拓撲線性空間中不連續線性泛函的存在問題
  5. Under the assuption of generalized subconvexlikeness, the optimality conditions of set - valued optimization problems in linear space are established by using obtained gordan - farkas type alternative theorem. under the assuption of near subconvexlikeness and - generalized convexity, the optimality conditions of set - valued optimization problems in linear topological space are established by using alternative theorem of near subconvexlikeness and obtained farkas - minkowski type alternative theorem. the concepts of super efficient solution and - super efficient solution are defined in normed space, and the optimality conditions of set - valued optimization problems are established under the assuption of semi - preinvexity

    在廣義次似凸性假設下，利用已獲得的gordan - farkas型的擇一性定理，建立了線性空間中集值優化問題的最優性條件。在近次似凸和-廣義錐凸性假設下，利用近次似凸集值映射的擇一性定理和已獲得的farkas - minkowski型的擇一性定理，建立了線性拓撲空間中集值優化問題的最優性條件。
  6. In the present paper, a max - min theorem and a max theorem are proved on local convex topological linear spaces, as an application, it is obtained that there exists optimal mixed strategies in a two - person game with an infinite pure strategy set

    摘要證明了局部凸線性拓撲空間上實值連續泛函的極大極小定理與極大定理，並由此證明了一類具有無限純策略集的二人對策中最優混合策略的存在性。
  7. Fuzzifying topological linear spaces based on continuous - valued logic

    基於連續值邏輯上的不分明化拓撲線性空間
  8. On the non - continuous auto - ismorphisms in topological linear spaces

    拓撲線性空間中不連續的自同構映像
  9. Fuzzifying topological linear space

    不分明化拓撲線性空間
  10. Under several suitable transformations, the problem of positive solutions for set - valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method

    摘要本文用某種同倫方法，藉助於一些適當的變換，討論了有序的局部凸拓撲線性空間中集值凝聚映象方程的正解問題。
  11. To quicken convergence and improve model precision, a new algorithm is presented in this paper, which utilize construct orderliness property of self - organization feature maps ( sofm ), divide system input space and adopt 1 order or 2 order local model in each subspace individually instead of a global model

    為了提高收斂速度和模型精度，本文利用自組織映射網路拓撲有序特性，對系統輸入空間進行分割，在子空間中採用多個局部一階線性模型或二階模型代替全局模型的局部化方法。
  12. Alternatively, we investigate the relationships between the space of bounded operators and its regular operator subspace with respect to the operator norm topology, thereby answering partially the question of how big the regular operator subspace is and discussing the existence of strongly non - regular operators between some classical banach lattices

    這里把這一問題轉化為考察有界線性運算元空間與它的正則運算元子空間在（一致）運算元拓撲之下的關系，從而部分的回答了正則運算元集合在有界線性運算元空間中有多大的問題，解決了經典banach格上強非正則運算元的存在性。
  13. These are 18. 100b ( analysis and metric spaces ) and 18. 700 ( linear algebra ). the course 18. 101 ( calculus in several variables ) would be useful and some familiarity with topological groups is also helpful

    學生需要預修18 . 100b （分析和度量空間）和18 . 700 （線性代數） 。預修過課程18 . 101 （多變數微積分）或者熟悉拓撲群都對學習本課程有幫助。
  14. In order to obtain three - phase four - line ac output, system applied the four - legged main circuit topology. with the 3d - svm, the power system realizes voltage regulation and three - phase four - line output. meanwhile, this kind of control is easy to be realized in the digital inverter

    為實現三相四線的交流輸出，變換器電路採取四橋臂新型拓撲，其控制採取了三維空間矢量調制，實現了變換器的在線調壓及輸出中點的形成，具有良好的動靜態性能，且這種控制思想可以方便地在現有數字變換器平臺上實現。
  15. The twelve kinds of modes and equivalent circuits of this inverter with high frequency link within one high frequency switching period are carefully analyzed ; by using the state - space averaging approach, the inverter ’ s averaging model is presented, and the design criterion of key circuit parameters and the output characteristic curve are given ; the analyses of the system stabilization and the mathematic analyzes of the principle of high - frequency - link of this inverter have also be done. prototypes for 1kva 270v 10 % dc / 115v400hzac uni - polarity phase shifting controlled bi - directional voltage mode inverter with high frequency link is designed

    以全橋橋式拓撲為例，論述了雙向電壓源型高頻環節逆變器單極性移相控制的原理、逆變器在一個高頻開關周期內的十二個工作模式及其等效電路;採用狀態空間平均法建立了逆變器平均模型，獲得了這類逆變器的關鍵電路參數的設計準則和外特性曲線;分析了系統穩定性，並對逆變器高頻環節原理進行了數學分析。
  16. The twelve kinds of modes and equivalent circuits of voltage mode ac - ac mode ac / ac converters with high frequency link within one high frequency switching period are carefully analyses. by using the state - space averaging approach, the converter ' s averaging model is presented, and the design criterion of key circuit parameters and the output characteristic curve are given

    以全橋橋式拓撲為例，論述了單極性移相控制的原理、單極性移相控制電壓源交?交型高頻環節ac ac變換器在一個高頻開關周期內的十二個工作模式及其等效電路。採用狀態空間平均法建立了變換器平均模型，獲得了關鍵電路參數的設計準則和變換器的外特性曲線。
  17. In the chapter 1, a max - min theorem and a max theorem are proved on local convex topological linear spaces, as an application, it is obtained that there exists optimal mixed strategies in a game with an infinite pure strategy set on a compact hausdorff space on the basis of analytic methods

    第一章在局部凸線性拓撲空間上證明了一個極大極小定理與極大定理，作為應用，利用基於分析的方法討論了局中人無限純策略集為緊的hausdorff空間時的最優混合博弈問題。
  18. Stzware is a two and three dimension spatial analysis software based on realms math model developed by nuaa, and the two - dimension subset of this software defines spatial data types on 2 - dimension discrete grid, such as point set ( privpoints ), line set ( privlines ) and region set ( privregions ), and implements attribute operation functions of these 3 types and topology analysis functions among these 3 types

    Stzware是由南京航空航天大學研製的基於數學模型realms的二三維空間分析軟體，其中的二維子集定義了二維平面離散網格上的空間數據類型:點集（ privpoints ） 、線集（ privlines ）和區域集（ privregions ） ，並實現了這三種類型的屬性操作函數和這三種類型間的拓撲分析函數。
  19. The concept of - generalized convex set - valued map is defined in linear topological space

    在線性拓撲空間中，定義了-廣義錐凸集值映射的概念。
  20. Adopting the globe pole mapping method of space analytic geometry, forming a topological mapping model from the high dimensionality vector to the low one, and then realizing a corresponding mapping from the rectangular matrix high dimensionality space text set to the low dimensionality space text set, finally, composing the corresponding arithmetics, accordingly solving the problem of nonlinear dimensionality reduction for text mining effectively, and overcoming some drawbacks in the former researches

    摘要採用了空間解析幾何中的球極映射方法，形成高維向量到低維向量的拓撲變換模型，實現了矩陣形式的高維空間文本集合到低維空間文本集合的一一映射，編制了相應的演算法，從而有效地解決了文本挖掘中的非線性降維問題，克服了以往研究中的缺陷。
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