空间

In this paper,with the aid of the w~*- sequential compactness of bounded closed balls in the conjugate space of a separable space,we proved that the convex hull of a finite union of bounded closed balls in l~∞ is closed.

借助可分空间的共轭空间中有界闭球的弱星序列紧性，证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集

Secondly, a finite element method is used to approximate the constrained minimization problem, both existence of minimizer for cost functional in finite demensional space and the convergence of minimizer are proven.

然后利用有限元方法对上述定解问题进行离散，并证明了有限维空间上泛函的极小元存在以及有限维空间上的极小元收敛到无限维空间上的极小元。

It concerns the concepts of spatial effects and spatial contiguity. Two aspects of spatial effects are spatial dependence and spatial heterogeneity.

空间经济计量学研究的数据来自于特定位置或特定范围，涉及的有关概念包括空间效应、空间相邻等。

The method comprises allocating a reserved area within a linear addressing space of the disc, contiguously recording the A/V information signals in a video recording area located succeeding the reserved area, recording corresponding management data in a temporary overview space succeeding the video recording area, generating a mapping table for mapping the recorded management data to address locations in the reserved area and recording the mapping table in the temporary overview space.

该方法包含：在线性寻址空间中分配保留区域，将A/V信息信号连续地记录在保留区域之后的视频记录区域中，将相应的管理数据记录在视频记录区域之后的临时概观空间中，生成用于将所记录的管理数据映射到保留区域中的地址位置的映射表，将该映射表记录在临时概观空间中。

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。

Faraday's law is that when the flux in the conductor loop changes, it produces electromotive force in the conductor loop, and obeys to contour integral law , Maxwell Curl Theory is that when the magnetic intensity of a certain point in ether space changes, there produces electric field at that point in ether space, which is the field mutual production theory of "electric field produces magnetic field and magnetic field produces electric field" in the free space which everybody is familiar with, and it obeys differential law , Lorentz magnetic force is that when metal electrons cut magnetic lines, metal electrons forced by move along the conductor to form inductive current, in fact, it doesn't matter whether coil moves or magnet moves, only if there exists relative motion between magnetic field and conductor, metal electrons must cut magnetic lines, which is,"coil stills while magnet moves to the left" and "magnet stills while coil moves to the right" these two situations are the same, which both belong to metal electrons having cut magnetic lines.

法拉第定律指导体环路里的磁通量发生变化时，在导体环路上产生电动势，而且服从围线积分律；麦克斯韦旋度理论指以太空间某点的磁场强度发生变化时，在以太空间的该点产生电场，即大家熟知的自由空间里"电场生磁场与磁场生电场"之互生场理论，而且服从微分律；洛伦兹磁力指金属电子切割磁力线时，金属电子受力沿着导体漂移而形成感应电流，其实，无论线圈运动或是磁铁运动，只要磁场与导体存在相对运动，则金属电子必然切割磁力线，即，"线圈静止而磁铁向左运动"与"磁铁静止而线圈向右运动"这两种情况是一样的，都属于金属电子切割了磁力线。

For detecting the vibration frequency the dynamic systems, and using topology contravariant functor the unknown space was mapped to known space,the vibration frequency of unknown space will be investigated by the contravariant functor.

为了分析动力系统振动频率的瞬变性，采用拓扑反变的理论把未知的动力系统空间映射到已知的空间中，通过拓扑反变算子研究未知的空间频率的瞬变性。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

Heidegger denies the way of interpreting spatiality through the analysis of corporality, thinking that spatiality can't be radically elucidated by corporality other than reasonably explained by the original structure of survival of "being-in-the-world". But he eventually lands himself in deep theoretical trouble.

海德格尔否定了通过身体性来理解空间性的理路，认为身体性并不能从根本上阐明空间性，唯有通过"在世界之中存在"这一源始的生存论结构，空间性才能得到合理的说明，但最终却陷入了理论困境。

One space is reserved for children and parents while the other is reserved for adults, making this restaurant truly a place that welcomes everybody. The adult space clearly fits the same world only here the accent is more geared towards cosiness and style.

在餐厅的另一边是成人的用餐空间，空间设计上相对沉稳，强调舒适与品味，但鲜艳的色彩将两处空间融成一个整体，将孩童无边无际的想象力伸展到餐厅的每一个角落。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。