分类空间

In this paper,singularity is used to study the classification of singularities of the binormal curves and focal surfaces of a spacelike in Minkowski 3-space,and also establish the relationships between singularities of these and geometric invariants of curves under the action of Lorentzian group.

应用奇点理论方法对三维Minkowski空间内由空间型曲线生成的副法线标型和可展焦曲面的奇点进行了分类，并且研究了在Lorenzian群作用下的空间型曲线的几何学不变量同这些奇点之间的关系。

This passage analyzes the advantage and disadvantage of the Boolean Model and the Vector Space Model in information retrieval model: the Boolean Model is simple to realize, but its classification ability is limited and the logic expression formula is strict.

本文分析了信息检索中传统文档特征表示的布尔逻辑模型和向量空间模型的优缺点：布尔逻辑模型虽机制简单、容易实现，但是它的分类能力有限且逻辑表达式过于严格；向量空间模型将文档映射到连续域向量空间，为进一步的权重计算等多元处理提供了基础，但容易忽略文档集合中各个文档的一些共有特征。

So it is necessary to research on the definition, classification, characteristics, calculation, and formal model of directional relationships.

因此得出结论：研究空间方向关系中的最基本问题，即空间方向关系的定义、性质、特点、分类、形式化描述机制、基本计算等，是研究工作的当务之急，研究新的空间方向关系形式化描述模型很有必要。

The key technique in the MUSIC algorithm is the signal subspace extraction which can be found from the eigen decomposition of the sample covariance matrix of the antenna receive signal. The eigen value decomposition of a Hermitian matrix is implemented by using the QR algorithm, and the signal subspace is constituted by collecting the significant eigen vectors.

在复合信号分类演算法中的重要关键为信号子空间与杂讯子空间的分解，这两个子空间可以利用对天线收到信号的取样共变异矩阵做特徵值分解中求出，本篇并以QR演算法实现厄米特矩阵之特徵值分解，信号子空间便是由分解后的特徵向量所集合而成。

Therefore, when the grid technique or the district was applied to regionalize spatial scale, individual soil profile are needed more to reduce uncertainties of the estimate of soil organic matter in the grid or the district with spatial scale up, but the uncertainties are smaller when using soil organic matter content in wellestimate gird or district to estimate the grid or district without available data by extrapolation.

因此，采用网格法或行政区划分空间区域，获得空间区域单元内土壤有机质含量或贮量的精确估算需要较多的剖面，但外推至数据不足的空间区域时，估算的不确定较小；采用土壤分类单元为空间区域单元，结果则相反。

It firstly presents a survey of basic concepts and knowledge. Then it analyses the representation effectiveness of Vector Space Model and factors influencing the classification performance.

本文主要从文本表示及分类算法两个角度展开了深入的研究，首先对文本分类的基本概念和知识进行了归纳，分析了目前最为流行的向量空间模型的表示效力以及它对于分类效果的影响因素。

The peddlers make use of autoeciousness, time taking place of space to confront the city inspectors' strategies of space sorting, peddlers driving and punishing, etc.

本研究主要借用列斐伏尔&空间的生产和使用&、德·塞尔杜的&空间实践&和吉登斯的&区域化&进行具体分析，描述摊贩运用寄生、时间换空间等战术对抗城管的分类、驱赶和处罚等管理策略，展开对马路空间的争夺。

Based on the development, classification, comparation of classific algorithms of spatial indices, the paper designs two efficient spatial indices including the improved quadtree and R+tree, applies them into spatial query processing, and realizes the spatial select query algorithm based the improved quadtree and R+tree, and nearest and k-nearest neighbour query based R tree.

在对空间索引技术的发展、分类和典型算法比较的讨论基础之上，本文设计并实现了两个高效的空间索引—改进的四叉树索引和R+树索引，并将这两个索引应用到空间查询处理中，分别实现了基于改进四叉树和基于R+树的空间选择查询算法以及基于R树的最临近查询和K最临近查询算法。

Then, according to phase space reconstruct technique from one-dimensional and multi-dimensional time series, the quantitative criterion and rule of system chaos which combine neural network, analyses, computations and sort are conducted on EEG signals of five kinds of human consciousness activities. The author finds that statistic results of the determinism computation in time series indicate that chaos characteristic may lie in human consciousness activities, and central tendency measure is consistent with phase graph, so it may become one division way of attractor; approximate entropy of different subjects exists discrepancy; correlation dimension and Lyapunov exponent of different consciousness activities indicate that attractors of human activities are all fractional; nonlinear quantitative criterion and rule, which unites neural network, can distinguish different styles of consciousness activity in principle, and the result of sortation takes on that consciousness activity type of arithmetic is distinguished more easily than that of abstract.

采用一维与多维时间序列相空间重构技术和系统混沌的定量判据准则，结合神经网络，对五种思维作业方式的脑电信号进行了分析、计算与分类，发现确定性计算的统计结果表明人类的意识活动中可能蕴含混沌特性，中心趋向测量(Central Tendency Measure，CTM)与相图吻合较好，可作为EEG吸引子的区分方法之一；功率谱分析反映出单个受试者的各种意识形态的差异很小，但是不同意识活动谱中的活跃频段还是略有差异的；个体之间的近似熵存在差异，同种状态下近似熵大的人可能具有更好的创新性；关联维数和Lyapunov指数的计算结果表明大脑的运动落在具有分维的奇怪吸引子上；非线性量化方法与神经网络相结合，可对人脑思维活动进行较好的分类，并且从分类结果来看数理计算类思维活动较抽象类思维活动有着更好的区分度。

The proposed algorithm first detects smooth intervals based on gray variance from the original frame sequence, then concatenates them to constructs a new frame sequence. After that, video features such as pixel-wise difference, HSV histogram difference and edge histogram difference are fed to a SVM classifier to decide the types of different shot boundaries.

第一级分类器根据视频帧灰度方差特征，将无明显变化的视频序列从原始视频序列中分离出去，得到一个新的视频序列；第二级分类器在新视频序列的基础上，提取视频图像的像素对差值、HSV空间颜色直方图的各分量差值以及边缘直方图X，Y分量差值等视频特征，并采用支持向量机多分类策略进行镜头边界类型的检测。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。