查询词典 homogeneous space

In this paper, the existence of isometric mapping between the manifold in the high-dimensional data space and the parameter space is proved. By distinguishing the intrinsic dimensionality of high-dimensional data space from the manifold dimensionality, and it is proved that the intrinsic dimensionality is the upper bound of the manifold dimensionality in the high-dimensional space in which there is a toroidal manifold.

首先给出了高维数据的连续流形和低维参数空间之间的等距映射存在性证明，然后区分了嵌入空间维数、高维数据空间的固有维数和流形维数，并证明存在环状流形高维数据空间的参数空间维数小于嵌入空间维数。

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

The invention intercepts a pixel area with the scheduled size in each frame from several continuous frame images in turn, reduces the intercepted pixel area to the largest size which the scheduled storage space can store and is stored in the scheduled storage space, then detects the face in the stored pixel area, hence, due to the minification of the storage space pixel area having the same size smaller than the whole frame image, thereby increasing the pixel area and reducing and storing the object face size compared with the whole frame stored in the storage space after reducing the frame image.

本发明依次从连续几帧图像中的每一帧中截取预设大小的像素区域，并在每次截取后，均将截取的像素区域缩小至预设存储空间所能够存储的最大尺寸后存储在预设存储空间内，然后在存储的像素区域内检测目标人脸。

N\nTotal disk capacity:%s\nUsed disk space:%s\nAvailable disk space:%s\nRequired disk space:%s\nRemaining disk space after import:%s\n

n\n磁盘总容量：%s\n已使用容量：%s\n可用容量：%s\n需要容量：%s\n导入后剩余容量：%s\n

Since convergencehas a close relationship with normed space itself, the definition which is normedspace (Y_1) stronger than normed space (Y_2), and normed space is presented innormed space for further research.

由于收敛性与赋范线性空间Y本身关系密切，文中引入了赋范线性空间Y_1强于赋范线性空间Y_2的定义，并将赋范线性空间Y具体到赋范线性空间l_p中进行研究。

With Hilbert space filling curve and latent semantic index, MLSQ maps similar data objects in high dimension semantic space into an adjacent range in one dimensional value space, and considers every data object sequence number in one dimensional space as a key. MLSQ distributes the keys to adjacent nodes of structured P2P systems. By embedding the process of searching data points of HSFC into the nodes of structured P2P networks and using the data search mechanism of networks, MLSQ can facilitate to search the data objects in accordance with query requirements.

该方法利用Hilbert空间填充曲线和潜在语义索引，将高维语义空间中相似的数据对象映射到一维数值空间中的邻近区域中，并以每个数据对象在一维数值空间中的序号作为键，将数据对象的索引分布到有组织P2P网络邻近的结点上，通过将HSFC中数据点的查找过程嵌入到有组织P2P网络的结点上，再利用网络的数据查找机制，MLSQ可方便地搜索到符合查询要求的数据对象。

A non-profit public benefit corporation FORMed to enhance the work of state aviation and space education councils and related organizations by improving communications among them and by developing mutual support programs, NASEA works to support: utilizing exposure to aviation and space topics to stimulate enthusiasm for learning among students, encouraging the use of aviation and space oriented curricula in schools and other educational institutions; fostering and improving the public awareness of aviation and aerospace; and enhancing communications and cooperation among governmental agencies, educational institutions, industry and other organizations in support of aviation and space education.

非盈利性公共组织为加强与全国航空航天教育协会及其他组织之间的合作，通过互惠的支持项目，增强相互间的联系。主要从事：利用对于航空航天课题的研究激励学生的学习热情；在学校和教育学院鼓励开展航空航天为导向的课外活动；培养和提高公众对航空航天的认知；加强政府机构、教育学院、工业和其他组织间的沟通与合作，用以支持航空航天教育。

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

China maintains that the international community, the big powers with the capacity to utilize outer space in particular, should take the following realistic steps to prevent a weaponized outer space: A complete ban on weapons of any kind in outer space, including anti-missile and anti-satellite weapons, so as to keep outer space free of weapons

中国主张，国际社会，特别是拥有空间能力的大国，应采取切实行动防止外空武器化：全面禁止一切类型的外空武器，包括反导弹和反卫星武器，实现外空非武器化

In the thesis, the space vector modulation of MC can be synthesized by fictitious rectifier and fictitious inverter. Two space vector control strategies of MC, which combines output line voltage space vector modulation and input phase current space vector modulation, is adopted.

本文采用输出线电压空间矢量调制和输入相电流空间矢量调制相结合的双空间矢量调制策略，对虚拟整流器和虚拟逆变器的空间矢量分别进行了分析，然后将二者综合得到矩阵变换器的调制方法。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。