1. Secondly, we derive the complete decomposition of U(1) and SO(2) gaugepotential using the unit vector of the wave function, through which we show thatthere exists a topological invariant number in quantum mechanics, which iscorresponding to the winding number.
其次，我们用波函数的单位矢量导出了U(1)和SO(2)规范势的完整分解式，表明在量子力学中存在着一个对应于环绕数的拓扑不变量。
2. 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。
3. For any dimension vector, there exist the generic decomposition, and a dense and closed subset V of system space R〓 corresponding to this decomposition such that, for each dynamical system M∈V, every indecomposable summand of M thus M is clear.
对任意的维数向量，存在一般分解，以及系统空间Rm，n，p中稠密的开子集V，并且我们对V中每个系统的不可分解直和项知道得很清楚，进而对V中每个系统也非常清楚。
4. To that aim, we study a decomposition of the vector fields first of all, and then we neglect?
为了找出它们的关系，我们先做了个向量分解，然后忽略了？
5. A hybrid intelligent forecasting method based on empirical mode decomposition and support vector regression is proposed.
本论文提出了基于经验模式分解和支持向量回归的混合智能预测模型。
6. This paper discusses some generalized forms of the primary decomposition of vector space with regard to linear transformation.
本文讨论了向量空间关于线性变换σ的准素分解的一些推广形式。
7. Methods of Motion detection, skin color detection, Singular Value Decomposition and Support Vector Machine are introduced.
介绍了人脸检测中用到的运动检测、肤色检测、奇异值分解和支持向量机等方法。
8. The third key technique is discrete vector field decomposition.
第三项关键技术是离散向量场的分解。
9. It has studied face detection technology based on skin color and face recognition technology based on singular value decomposition and support vector machine.
研究了基于肤色的人脸检测技术和基于奇异值分解和支持向量机的人脸识别算法，分析了目前人脸检测及识别技术中亟待解决的难点问题，并讨论了人脸检测及识别技术的发展趋势。
10. The various representations of LPC residual signal are summarized, which can be unified as a Vector Decomposition problem.
在总结了语音LPC模型残差信号的各种表示方法之后，把这些方法都归结为一种统一的表示方法，即残差的矢量展开法。
11. The matching benchmarks are re-built through the decomposition of the SURF descriptor vector. The support-degree based association rules are constructed to improve the image matching accuracy under complicated situations.
通过分解SURF特征点描述子向量，重新构造了匹配基准，在此基础上运用关联规则的支持度判定策略，提高了复杂情况下图像间特征点匹配的精度。
12. vector decomposition是什么意思
12. EOF, EOF procedures, principal component analysis procedure, suitable for vector field orthogonal decomposition.
经验正交函数，EOF程序，主成分分析程序，适合做向量场的正交分解。
13. Based on the decomposition theorem for vector space with module structure and rational canonical form of matrix, a kind of new block diagonal controllably canonical forms are inferred when the time invariant linear multivariable system is completely controllable, which the system matrix is similar to a block diagonal and has an analogy with its rational canonical form. Compare with current controllability canonical forms, this kind is easier to analyse the system constructional characteristic. The process of proof gives an effective solution method.
基于向量空间的模结构分解和矩阵的有理标准形给出了定常多输入线性系统一类新的块对角可控规范型，其中的系统矩阵相似与一个块对角矩阵，该块对角矩阵类似于矩阵的有理标准形，与现在有的可控规范型比较，更容易反映系统的结构特征，证明步骤给出了求解方法。
14. Complex vector space; complex linear transformation; decomposition theorems; Jordan canonical form
复向量空间；复线性变换；分解定理； Jordan标准形
15. 公共查询·英语单词
15. Each originally word and document or each new document is described vector in space constructed by SVD decomposition.
LSA是用于信息获取领域的主要空间向量方法中的一个，而且对LSA的理论研究和方法的实际应用仍然需要深入的进行。
16. In this paper, a constructive proof of singular value decomposition of quaternion matrix is given by using the complex representation and companion vector of quaternion matrix and the computational method is described.
四元数矩阵的奇异值分解是四元数矩阵理论的重要内容，奇异值分解在四元数矩阵的理论研究和数值计算中都起到非常重要的作用。
17. In the fourth chapter, we discuss theapplication of the atomic decomposition theory to the vector-valued harmonicanalysis. We give the Hardy inequalities in the vector-valued martingale space, we also study the Mikhlin multiplier operator and singular integral operator in thevector-valued Hardy space.
第四章我们主要研究原子分解理论在向量值调和分析中的应用，建立了向量值鞅空间上的Hardy不等式，向量值Hardy空间上的Mikhlin乘子算子及一类奇异积分算子的有界性。
18. vector decomposition的解释
18. In this paper, under MAE criterion, a fast adaptive optimization algorithm based on mirrored threshold decomposition is presented. This algorithm restricts stacking properties of cost vector and estimates its astringency in order to attain positive Boolean function of optimal stack filters.
文中在MAE准则下，提出一种基于镜像阈值分解的快速自适应层叠滤波器优化算法，该算法在迭代过程中约束代价向量的层叠性并判断其收敛性，最终获得最优层叠滤波器的正布尔函数。
19. To achieve heavy freight railway vehicle dynamic control, this paper use wavelet packet decomposition and support vector machine fault diagnosis algorithm.
为实现对铁路重载货运车辆动态监控。本文用小波包分解与支持向量机算法实现故障诊断与预测。
20. The angular signal subspace was then calculated from the singular value decomposition of a steering-vector-augmented data matrix in each direction.
其次，利用阵列响应矢量扩展观测数据矩阵，在每个搜索方向由增广数据矩阵的奇异值分解获得角信号子空间估计。