表示空间

证明了完备、定向曲面的基本群在SU（2）中的表示空间可等同于该曲面上秩为2且具有平凡行列式丛的全纯向量丛的模空间.并且它们具有射影结构。

The representation space of the fundamental group of a closed , oriented Riemannian surface is identified with the moduli space of the holomorphic bundles of rank 2 with trivial determinant bundles over the surface and these spaces are proved to carry a projective structure .

本文创新性的利用了压缩感知的方法，通过找到一个信号的稀疏表示空间，有效的重构原始语音信号。

Through finding a signal of the sparse representation space , we can effectively reconstruct the original speech signal .

但灰度直方图方法不能充分表示空间分布信息，而将形状特性应用于CT心脏图像检索的方法正好可以弥补灰度直方图表达空间信息的不足。

However , gray-scale histogram can not fully express the spatial distribution information . The shape characteristics can overcome this shortcoming .

选取不可约表示空间的基，具体建立了Clifford代数与矩阵代数之间的同构。

With suitable bases of the Clifford algebras , we construct isomorphisms between Clifford algebras and matrix algebras .

Clifford代数的Spinor表示空间

The Spinor Spaces of the Clifford Algebra

文中首先对GML和SVG技术进行了介绍，分析了GML怎样表示空间数据以及用SVG对其进行发布的优点。

Firstly , this paper introduce GML and SVG , analyzed that how to express spatial data with GML and the advantages of using SVG to publish it on the web .

用估计的空间关项来解释空间聚类，用随机项来表示空间混合效应，用IaPR来检测聚类趋势。

Spatial association terms are used to account for spatial clusters , and spatial random terms are used to account for spatial mixture . I aPR is used to detect the spatial clustering trend .

以混合算法建立宽带多光谱色彩表示空间

Modified Multi-spectral Space for Color Representation Based on Hybrid Algorithm

该方法既能表示空间实体的连续运动，也能表示其离散变化，为空间运动对象时空数据模型的建立奠定了基础。

This is a foundation for building spatio-temporal data models of moving objects .

一个高维表示空间的分解

Reduction of a High Dimension Representation Space

球坐标是一种用三个变量，表示空间中点的位置的方法。

Spherical coordinates are a way of describing points in space in terms of three variables .

灰度直方图方法虽具有比例、旋转和位移不变性等特点，但不能充分表示空间分布信息。

The histogram algorithm is used to achieve the advantages of rotation invariance , position invariance and scale invariance .

利用称为“球片点”的新的点基元近似表示空间的离散点及其附近的区域。

A novel point primitive , referred as Spherical Patch Point , is employed to approximate a3D point and its vicinity .

在3维空间里，四元数可以非常方便地表示空间方位、空间向量间的旋转、平移和缩放等关系。

The quaternions can easily represent the relation of the vector 's orientation , rotation and translation in the space of three dimension .

用于表示空间对象地标（如经度和纬度）数据就是空间数据。

The data that indicates the Earth location ( such as longitude and latitude ) of these rendered objects is the spatial data .

实验结果表明，基于熵的属性选择策略能找到一个充分分离案例类别的属性子集，改善属性的表示空间。

Experimental results indicate that the entropy-based attribute selection strategy can find an attribute subset which can separate the case classes sufficiently and effectively .

分析了隐层输出向量组生成的表示空间与期望输出向量组生成的目标空间。

The representation space and the target space , subspaces generated respectively by output vectors of hidden layer and expected output vectors , were analyzed .

人机交互的本质是人的多维信息认知空间和计算机的信息表示空间之间的相互映射。

The essence of human computer interaction ( HCI ) is the mutual mapping between the cognitive space of human and the computation space of computer .

理论模型计算结果表明，这是一种比较稳定、并能直接用图表示空间位置的简便的定量解释方法。

The results of calculation on theoretical models indicate that this is a handy quantitative interpretive method that provides stable calculation results and directly figured spatial positions .

R-树是空间搜索的动态索引树，它的结构是利用多个维中的区间来表示空间数据对象，它是矩形访问的一种有效方法。

R-tree is a dynamic index tree of space search . Its structure use multi-dimensional region to express spatial data object . R-tree is a valid way to visit rectangle .

算法将用户查询和意图类别分别映射到百科表示空间中，并在此表示空间中使用非统计方法来分类查询意图。

The method firstly maps the intent type and user query to the encyclopedia present space , and then classifies the intent of the user in this space using non-statistical method .

根据空间数据源的特点给出一种表示空间数据源能力信息的方法，包括导出模式、查询能力和转换能力。

According to the feature of spatial data sources , a method to express capability of the spatial data sources is presented , including exported schema , query capability and transformation capability .

我们将以规则像元阵列表示空间地物或现象分布的地图（如，遥感影像图、地形扫描图）称之为栅格地图。

We named these maps the raster data map , which express special geographical elements or phenomena distributing through regular pels array , such as remote sensing image , terrain scan image .

框架就是空间中满足稳定性条件的一列元素，它不仅能线性表示空间中任意一个元素，而且还具有很强的灵活性，甚至它们可能是线性相关的。

Frame is a series of elements which can satisfy the stability conditions . It can represent any single element in space in linearity , in the meanwhile , with strong agility . Frame elements may be linear correlated .

并通过与传统格式合同及国外点击合同的研究理论相比较，凸显自动发货交易中的意思表示空间的紧迫性及高度标准化的要求。

And through contracts with the traditional format of the contract and the theory of foreign clicks compared to highlight the meaning of automatic delivery transactions , said the urgency of the space requirements and high degree of standardization .

提出了求解轴对称静电场的柱函数展开法，推导出用对称轴上的电势分布表示空间电势分布的级数展开式，并给出了求解轴对称静电场的例子。

To solve axially symmetrical electrostatic field , the method of cylindrical function expansion is presented . The series expansion for the potential distribution in whole space with the potential distribution on the symmetric axis is derived , some examples are given .

结果表明：表示空间与目标空闽维数、隐单元数目以及每个隐单元的误差补偿效率决定了前馈神经网络隐层的评测因素。

The investigation shows that the evaluation factors for the hidden layer of a feed-forward neural network are composed of the dimensions of representation space and target space , the number of hidden units , and the error compensation efficiency of each hidden unit .

XML是用于表示参数空间层次性结构的自然选择。

XML is the natural choice for representing the hierarchical structure of the parameter space .

在UML图中，可以通过将UML模块保存在不同的包中来表示名称空间。

In UML diagrams , namespaces can be represented by keeping the UML modules in different packages .

有理三次圆弧的标准正交基与广义Ball基表示欧氏空间子空间的标准正交基求法改进

Representing rational cubic circular arc by normalized totally positive or generalized Ball methods Improvement on Construction of Orthonormal Basis in Some Subspace of Euclidean Space