This article analyses the Vector Space Model based on Algebra, and expands the model: expresses the index terms with minterm in order to reflect the relationship between terms, uses singular value decomposition to present the semantic structure of documents.
本文分析了代数理论的向量空间模型，并对该模型进行了扩展：用最小项标引词以反映词与词之间的关系，用奇异值分解来捕捉文献的语义结构；最后对这三种模型进行了比较。
For a class of singular large scale systems with value bounded parameteruncertainty and a quadratic cost index, the problem of designing an optimal guaranteed cost state feedback controller is considered.
四、对一类不确定项具有数值界的参数不确定广义系统和一个二次型性能指标，研究了其最优保性能状态反馈控制律的设计问题。
On the basis of Poincare Index and zero point-detection of gradient field, a hierarchy algorithm for detecting singular point (core and delta) was proposed. It was divided into two stages.
提出了一种分别基于Poincare指数和梯度场零点检测的分级算法来提取奇异点（核心点，三角点）。
The greatest number of finite singular points with index + 1 for cubic system
三次系统指标为正的奇点个数
A Signal Index: Aperiodicity Degree Based on Matrix Singular Value Decomposition
基于矩阵奇异值分解的信号非周期性程度指标
By using screw theory the singular reason of motion simulator, and the Jacobian matrix was obtained. The ability of torque transmission is analyzed by using the index of Condition number.
运用螺旋理论阐述模拟器奇异问题产生的原因，并在该理论基础上构造雅克比矩阵作为模拟器奇异判断的数学条件；利用条件数对模拟器的力矩传递性能进行了分析。
The singular index of cutting force signal is proposed as a parameter for detecting cutter's wear.
提出采用切削力信号的奇异性指数作为衡量刀具磨损的参量。
Under a weak force type condition, we study the existence of non collision periodic solutions with fixed energy for a singular Hamiltonian systems. Our methods depend on the Mountain Pass Lemma and the estimates of Morse index and the number of collisions.
在弱力型条件下，依据于山路引理、Morse指数及碰撞次数的估计，研究了给定能量的对称奇异哈米尔顿系统的非碰撞周期解的存在性。
Thirdly, a calculation method about the interest point of image is described through the feature about singular value of image and a signaler value index method is introduced.
再次，利用图象兴趣点序列的计算方法以及图象矩阵的奇异值性质，给出了基于图象兴趣区域的奇异值索引方法。
Calculating formulas of singular point index for the plane quartic system
一类平面四次系统奇点指数的计算公式
Calculation method about high step singular point index of a type plane n _degree systems
一类平面n次系统高阶奇点指数的计算方法
As the inversion problem for singular integrals with cosecant kernel usually has no solution in case of index k < 0, we proposed and solved two different new forms of modified inversion problem in this paper.
针对含余割核奇异积分反演问题在指标k<0时一般无解的情况，本文提出并求解了两种修改的反演问题。
The characteristics, advantages and disadvantages of the loss sensitivity index were compared to those of two other second order indices for the test function and the minimized singular value.
计算比较了试验函数、最小奇异值和网损灵敏度二阶指标的特性和优缺点，并用于电力系统事故排序。
According to the on-site testing results, some problems appeared in engineering application such as the switching of node types in power flow calculation, the processing of equivalent generator in external power network and the application of minimum singular value index, etc.
结合现场测试结果，对潮流计算中节点类型的转换、外网等值机的处理、最小奇异值指标的应用等工程应用中的问题进行了分析。
The relation between the voltage margin index expressed by minimum singular value and the voltage margin expressed by physical quantity is dis-cussed.
讨论了最小奇异值表示的电压稳定裕度指标和物理量表示的电压稳定裕度指标间的关系；
The singular value method for estimating node voltage stability and stability index
衡量节点电压稳定的奇异值法和稳定指标
The Southern Oscillation Index (SOI) time series is analyzed by means of the singular spectrum analysis (SSA) method with 60-month window length.
采用奇异谱分析（SSA）技术，取60个月的窗口长度分析了1951－1997年的南方涛动指数（SOI）序列。
This paper discusses the index of isolated singular points for quadratic homogeneous equation by means of euclidean method, a method of judging index based on coefficient is given, which is convenient to be used.
本文利用辗转相除法研究了二次齐次方程孤立奇点的指数，得到了由系数判断指数的一种便于应用的方法。
Singular Spectrum Analysis and Forecast Model Based on Shanghai Composite Index
基于奇异谱分析的上证指数预测模型
The closed-loop singular systems with reliable guaranteed cost control is quadratically stable and the performance index is bounded regardless of actuator faults.
所设计的控制器可以保证无论执行器是否出现故障，闭环广义系统都能保持二次稳定且所给性能指标有界。