这是长度为1的正交向量的性质。
这个矩阵可以利用正交向量简化。
This matrix can be simplified by using the properties of orthogonal vectors.
给出了向量的次正交与次正交向量组等有关概念及性质。
The concepts concerned with the sub orthogonality of the vector, the sub orthogonal vector group, etc.
它们与标准正交笛卡尔向量相关。
利用自然正交函数展开的前三个特征向量场及对应的时间系数将梅雨降水分成三类六型。
The Meiyu precipitation can be classified into three classes and six patterns by using the first three characteristic vectors and their corresponding time coefficients.
该方法将图像投影到SVDQ的各个正交基上，得到投影系数向量。将此向量作为图像的代数特征并用于彩色图像识别中。
Firstly, the image is projected on to the orthogonal basis of SVDQ, then the projection coefficient vector is used as algebraic feature of image and applied to recognition.
结论是：多光谱系统灵敏度优化向量的正交化设计是系统光谱图像获取的必要要求；
The conclusion is given through simulation that the overall principle to optimization is orthogonalization of the sensitivity optimal vector.
对大规模训练样本的支持向量机训练问题进行探索，提出了一种基于正交表的并行学习算法。
Explores the training problems of support vector machine with large training pattern set, and a new parallel algorithm based on orthogonal array is presented.
在有限元模拟基础上，采用正交设计与最小二乘小波支持向量机对充液拉深过程参数优化进行了研究。
Orthogonal design and least squares wavelet support vector machine are integrated to optimize the technological parameters of hydro-mechanical deep drawing process using FEM.
利用双尺度相似变换构造了高逼近阶的双正交尺度向量。
The biorthogonal multi-scaling vector with higher approximation order was constructed using TST.
提出了一种基于特征向量展开的均匀化方法，用以求解正交编织复合材料的宏观力学性质。
A homogenization method based on the eigenvector expansions is developed to evaluate the macro mechanical properties of orthogonal woven fabric composites in the present paper.
最后根据状态矩阵的左右特征向量系的正交性，对给出的状态矩阵进行对角化。
State matrix is diagonalized according to the orthonormality of left and right eigenvector series about the state matrix.
对给定的特征值和对应的特征向量，提出了对称正交对称半正定矩阵逆特征值问题及最佳逼近问题。
From given eigenvalues and eigenvectors, the inverse eigenvalue problem of symmetric ortho-symmetric positive semi-definite matrices and its optimal approximate problem were considered.
论文对支持向量机（SVM）和正交设计方法进行了比较。
The purpose of this paper is to provide a discussion and comparison of SupportVector Machine (SVM) and the orthogonal design method.
本文剖析了线性代数中伴随矩阵、行向量与列向量的乘积、正交矩阵几个较难掌握的概念，由此引出这些概念的一些基本特征和性质。
This article analyzes a few profound concepts, such as companion matrix, line vector, column rector, orthogonal matrix, and recommend many qualities, which are difficult to grasp for many students.
基于矩阵体积的概念，引入矩阵向量正交度，对病态问题的行列式诊断方法进行了推广和扩展。
Based on the conception of the matrix volume, we presented the definition of the orthogonal degree of the matrices, generalized and extended the determinant method mentioned above.
本文提出了一种向量场经验正交展开的方法。
In this paper, a method of empirical orthogonal expansion for a vector field is proposed.
然后利用广义特征方程存在共轭正交的特征向量这一结论 ，巧妙地解决了该共轭正交条件下最优鉴别矢量集的求解问题 。
Then the problem of finding the optimal discriminant vectors subjected to such constraints is solved using the property that there exist a set of conjugate ort.
在弹性力学求解新体系中，将对偶向量进行重新排序后，提出了一种新的对偶微分矩阵，对于有一个方向正交的各向异性材料的三维弹性力学问题发现了一种新的正交关系。
In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by the dual vectors over again sorted and a new orthogonality relationship is discover.
利用球面调和级数的空间正交分解特性，计算三维颅骨的空间分解特征向量，继而构造三维特征描述子。
A new approach is presented to calculate 3d skull spatial decomposition feature vector through using the orthogonal decomposition property of spherical harmonic transform.
在模糊内积空间的极小化向量定理基础上，给出了向量拟模糊正交定义，并在模糊内积空间中证明了投影定理。
Based on the minimizing vector theorem of the fuzzy inner product space, the pseudo fuzzy orthogonal vector is defined and the projected theorem of the fuzzy inner product space is testified.
该方法首先对地球物理和地球化学等网格数据进行二维矩阵的奇异值分解，之后用左特征向量矩阵与右特征向量矩阵的直积构造一个正交完备基。
The MSVD method constructs a self-contained orthogonal basis using the outer product of left and right eigenvector matrixes decomposed from 2D geochemical or geophysical maps.
该方法首先对地球物理和地球化学等网格数据进行二维矩阵的奇异值分解，之后用左特征向量矩阵与右特征向量矩阵的直积构造一个正交完备基。
The MSVD method constructs a self-contained orthogonal basis using the outer product of left and right eigenvector matrixes decomposed from 2D geochemical or geophysical maps.
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