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1·Quotient space;

商空间；

2·Next discuss how to build a model of the quotient space from the structure.

讨论如何从结构着手来建立商空间模型。

3·The theory of the quotient space is a new mathematical tool for the study of the different granularity world.

商空间理论是研究不同粒度世界的一种新的数学工具。

4·Quotient space theory for treatment of high-dimensional, incomplete, complex, vague, massive data, there are unique advantages.

商空间理论在处理高维、不完备、复杂的、模糊的、海量数据时，有其独特的优势。

5·We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.

然后引入拓扑直和的概念，利用它和商空间给出一个归纳极限表示定理。

6·In this paper, combining the SAR imaging mechanism, the theory of granular computing of quotient space based SAR image classification algorithm is proposed.

文章将商空间粒度计算引入SAR图像的分类中，结合SAR图像特性，提出了一种基于粒度合成理论的SAR图像分类方法。

7·Therefore, rough set and cluster methods are integrated based on granularity decompose and granularity synthesis theory of quotient space to improve this algorithm.

为此，基于商空间的粒度分解和粒度合成原理，综合粗糙集和聚类算法对之进行改进。

8·For more effective meteorological data mining, this thesis introduces the quotient space granular computing theory, grey model, structural machine learning algorithm and so on.

为了更加有效地进行瓦斯数据挖掘，本文引入了商空间粒度计算理论、灰色模型、覆盖算法等。

9·In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.

第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。

10·The connection between U-property and uniformly convexity, uniformly locally mid-points convexity are constructed, the U-property of the generalized lp-space and its quotient space is given.

较系统地建立了U -性质，严格凸，中点局部一致凸等几何量之间的关系。给出了广义-空间是U -空间的刻画。