紧致空间

词组短语

compact space

与紧致空间相关的网络例句 [注：此内容来源于网络，仅供参考]

In the third section,we study the relationship between the APOTP for continuous map / on a compact metric space X and that for the lift map / of / on a covering space X and show that has the APOTP if and only if has the APOTP.

在第四节中，我们研究逆极限空间上移位映射的APOTP，讨论紧致度量空间上连续映射APOTP与逆极限空间上移位映射APOTP间的关系。

Letbe a compact metric space, f: X→X a continuous map, and K(X,H a compact metric space consisting of all nonempty compact subsets of X.

设为紧致度量空间， f： X→X连续， K(X，H是 X所有非空紧致子集构成的紧致度量空间。

We prove the depicting condition by base of countably compact space and countably paracompact space in weaker A_2-space.

给出并证明了弱A2空间中可数紧致、可数仿紧致空间用基刻画的条件。

Using a large data set of 1 894 images,we examine whether the colorspace transformation can increase the compactness of skin distribution and the discriminability between skin and nonskin distributions in fourteen 3D colorspaces and fourteen 2D chrominance planes.

比较结果表明：(1)颜色空间的变换并不能改善肤色紧致性、肤色-非肤色可分辨性以及分类等性能，但RGB及线性变换空间却具有较好的类可分辨性和分类性能；(2)去除亮度信息将明显降低肤色和非肤色之间的可分辨性和分类性能；(3)Bayes决策下的3维SPM的分类性能是最优和空间无关的，而其余分类器则普遍存在类似的"空间偏好性"；(4)同时采用肤色和非肤色模型的分类器的分类性能优于仅使用肤色模型的分类性能。

Finally,as to an equicontinuous homeomorphism on a compact metric space,...

最后，针对紧致度量空间上的等度连续同胚，利用空间的极小性和紧致性，得到以空间中某有限个点的有限长轨道为中心，以ε2为半径的开邻域构成的有限子覆盖，并利用f的等度连续性，由该子覆盖构造出以空间任一点的有限长轨道为中心的开邻域所作成的有限子覆盖，进而得到所要结论。

Secondly,by reduction to absurdity and the sequentially compactness of the space,the minimality of a homeomorphism on a sequentially compact space is discussed.

其次，利用反证法结合空间的序列紧致性对序列紧致空间上的同胚映射的极小性进行讨论。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

We introduce a set of real functions H, and use to it to give a fixed point theorem of tother type for complex mappings on complete metric spaces, which improves and generalizes the corresponding results on compact metric spaces or under the condition of weakening compactness obtained by Fisher, Telci and Xu Xiao-li, respectively.

利用引入的实函数类H，在完备度量空间上给出了复合映射的另一种类型的不动点定理，改进并推广了Fisher、Telci和徐晓立等在紧致度量空间上或在弱化紧性条件下得到的相应结果。

Though a lot of effort has been devoted such as spatial guided clustering analysis and posteriors refinement with spatial constrained method,the weights of different feature space and complexity introduced by using other techniques are still waiting to be resolved.

尽管已经出现了许多改进的方法，如采用进行空间约束的聚类方法和使用其它保持空间紧致性的方法进行结果修正等，不过不同空间划分之间的协调、新的参数复杂性和算法复杂性反而使得聚类分析技术失去其简单有效的优势。

与紧致空间相关的网络解释 [注：此内容来源于网络，仅供参考]

compact set：紧[致]集

紧[致]算子 compact operator | 紧[致]集 compact set | 紧[致]空间 compact space

compact space：紧[致]空间

紧[致]集 compact set | 紧[致]空间 compact space | 紧[致]台 compact support

compact space：紧空间,紧致空间

communication-satellite space station 通信卫星太空电台 | compact space 紧空间; 紧致空间 | complemental space 补充隙

countably compact space：可数紧致空间

可数加性的集合函数 countably additive set function | 可数紧致空间 countably compact space | 计数器 counter

compact support：紧[致]台

紧[致]空间 compact space | 紧[致]台 compact support | 紧[致]化;紧致包 compactification

compactification：紧[致]化;紧致包

紧[致]空间 compact space | 紧[致]台 compact support | 紧[致]化;紧致包 compactification

compactness：紧致性

空间上不同的拓朴结构,除了会影响空间的紧致性(compactness)、连通性 (connectedness) 之外,对於在该空间上运作的算子之行为与特性,也扮演著举足轻重的角色.

complemental space：补充隙

compact space 紧空间; 紧致空间 | complemental space 补充隙 | complete metric space 完备度量空间

compact metric space：紧致度量空间

致密愈伤组织:compact callus | 紧致度量空间:compact metric space | 非紧性测度:non-compact measure

paracompact space：仿紧致空间

仿紧致 paracompact | 仿紧致空间 paracompact space | 誖论;诡论;谬论 paradox