topological vector space 中文意思是什麼

topological vector space 解釋
拓撲向量空間
  • topological : 拓撲的
  • vector : n 1 【數學】向量，矢量，動徑。2 【航空】飛機航線；航向指示。3 【天文學】幅，矢徑。4 【生物學】帶...
  • 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. Fixed point theorem and system of generalized vector equilibrium problems in the product space of topological vector spaces

    乘積拓撲矢量空間中的不動點定理和廣義矢量平衡問題組
  2. At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces

    首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。
  3. 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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