查询词典 compact space

In Chapter three, we prove the existence of exponential attractor in Banach space for the semigroup when there isn\'t a compact absorbing set.

第三章：研究了吸收集不紧的情形下，Banach空间上的指数吸引子的存在性。

In this doctoral dissertation, we consider the existence of exponential attractor in Banach space when there isn\'t a compact absorbing set for equations.

这篇博士论文着重研究了在吸收集不具有紧性的条件下，Banach空间上指数吸引子的存在性问题。

It was proved that the existence of an absorbing set and a global finite dimensional attractor which is compact, connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations.

利用了无穷维动力系统理论，证明了两个高频模态耦合的Ginzburg-Landau方程在函数空间中存在吸引域，因而存在连通的、有限维的紧的整体吸引子。

Due to the compact design the Air Vent Valve requires minimum space.

由于紧凑的设计，排气阀，需要最小空间。

Furthermore,it shows that if E is a barrelled space with continuousdual 〓,then 〓 contains no copy of 〓 if and only if each〓 is compact operator.

据此证明了若E是桶型空间，那么〓〓不拓扑同胚地包含〓的充要条件是每个〓都是紧算子。

On one hand, globalization courses the change of space economic structure and the restructure of world urban systems. The space economic structure changes from industry chain to a value chain structure. On the other hand, more and more progress of regions and countries has been brought into the global economic network. The rivalry between these countries often present between regions and cities. The global competitive advantage of cosmopolis and the surrounding town compact districts is a critical component of the countrys integrate competitive advantage.

一方面，全球化导致空间经济结构的转型和世界城市体系的重组，以"产业链"为特征的空间经济结构正在转变成为以"价值链"为特征的空间经济结构；另一方面，各国的城市和区域的发展越来越纳入全球经济网络，经济全球化背景下的国家竞争已经更多地表现为城市和区域之间的竞争，以国际大都市为核心的城镇密集区域的国际竞争力是国家综合竞争力的重要组成部分。

In thisthesis, we first extend the vanishing theorem due to Lawson, Simons and Xinto the case of compact submanifolds of a hyperbolic space. Thus, by using thenew vanishing theorem for homology groups, we prove the topological spheretheorem for complete submanifolds in a hyperbolic space. Hence we generalizethe Shiohama-Xu topological sphere theorem.

本文进一步将Lawson-Simons-Xin同调群消没定理拓广到双曲空间中紧致子流形的情形，并运用这一新的同调群消没定理证明了双曲空间中完备子流形的拓扑球面定理，从而推广了Shiohama-Xu的拓扑球面定理。

Let M be a compact submanifold of locally symmetric space N~,we apply Gauss equation,Ricci equation and the property of locally symmetry of the outer space ,through studying f =.

我们应用Gauss方程，Ricci方程和外围空间的局部对称性质等方法，通过研究函数f=？

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

Dian floor of the distribution of symmetry in the changes, scattered in the contact and tortuous loop, the actual situation of health, Xiaoqiaolinglong, space rich, varied levels, see in the small, unknowingly for such a small place, is compact and Cuola dependencies, and its layout Pingchuan temple is different from the axis prominent, symmetrical, but also different from the mountain Temple mountain gradually increase the pattern, Junyi cliffs convex, the shape of the potential trial,by zhe naturally , air and structure, look, Stack Cuola, subtle changes to the composition and physical space to contrast the orderly performance art.

殿楼的分布都对称中有变化，分散中有联络，曲折回环，虚实相生，小巧玲珑，空间丰富，层次多变，小中见大，不觉为弹丸之地，布局紧凑，错落相依，其布局既不同于平川寺院的中轴突出，左右对称，也不同于山地宫观依山势逐步升高的格局，均依崖壁凹凸，审形度势，顺其自然，凌空而构，看上去，层叠错落，变化微妙，使形体的组合和空间对比达到了井然有序的艺术效果。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。