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。
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。
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。
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。
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。
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。
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。
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。
In this paper discuss mostly the question of the structure of the quotient space theory. Comparing with rough set theory, point out the importance of the structure in granule computing theory.
主要讨论商空间理论中的结构问题，并与粗糙集方法进行比较，指出结构在粒度计算理论中的重要性。
In this paper, the relationship between theory of fractal geometry and theory of quotient space is discussed and a new model which combines the character of granularity and fractal is put forward.
本文讨论分形几何与商空间理论的关系，提出商分形的概念，并讨论分形图的逼近与商空间粒度计算之间的关系。
And then we will see that in the framework of diffeomorphism group the symplectic quotient is torus bundle over the moduli space of special submanifold.
然后，我们将看到微分同胚群作用下的辛商为特殊子流形模空间上的以环面为结构群的丛。
The concepts of quotient uniform space, proper quotient and soonare Presented. And some uniform properties of proper quotient are discussed in details.
本文引进了商一致空间和恰当商等概念，并对恰当商的某些一致性质进行了深入的讨论。
This article has introduced topological space Xs property of sequencable convergence and proved that this property is quotient property.
引进拓扑空间x的可序列收敛性质，证明了这一性质是可商的性质。
In this paper, several properties of seminorm on Sobolev space and its relation to some quotient norm are studied and the new results are obtained.
本文研究索伯·列夫空间半范数的某些性质及其与某类商范数的关系，得到了一些新结果。
According to the optimization example of one space truss of a gymnasium, the efficiency and the feasibility of the difference-quotient-method is proved.
通过对某体育馆网架结构的优化设计示例，证明了本优化设计方法的有效性和可行性。
The Linear log quotient Mixture Model for the design space, there has been the analysis solution of D-optimal design given an a - optimal design by professor Guan Ying nan.
针对设计空间为的线性对数比模型，已有D-最优设计的分析形式的解并由关颖男教授给出了A -最优设计。
The Linear log quotient Mixture Model for the design space, there has been the analysis solution of D-optimal design given an a - optimal design by professor Guan Ying nan.
针对设计空间为的线性对数比模型，已有D-最优设计的分析形式的解并由关颖男教授给出了A -最优设计。
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