基向量

子空间基向量矩阵是由修正的低阶模态矩阵（包括刚体模态）和修正的被略去的高阶模态的剩余柔度矩阵组成的。

The subspace base vector matrix consists of the modified lower frequency mode matrix ( ineluding rigid body modes ) and the modified residual flexibility matrix of neglected higher-frequency modes .

针对图片库中的图像，先用ICA算法构造由相互独立的基向量构成的子空间。

Firstly , a subspace spanned by independent basis vectors was constructed by applying ICA to images in the picture base .

我们先利用改进的K-means聚类方法从训练数据中获得基向量，再结合卷积神经网络提取字符图像的特征。

Firstly , we use the variant of K-means obtain the basis vectors from the training data , then extract character feature by combining convolutional neural network . 2 .

本文根据群G和子群g的不可约表示基向量标准化的性质，提出了直接计算子群g的V系数和W系数的新方法。

In terms of the standardization properties of the basic vectors in irreducible representations of group G and subgroup g , a new method for calculating directly the V and W coefficients of subgroup g has been put forward .

提出一种非线性分类方法&基于非线性映射的Fisher判别分析（NM-FDA）.首先提取基向量；

As a nonlinear classification method , Fisher discriminant analysis based on nonlinear mapping ( NM-FDA ) is presented .

利用NNSC算法可以成功地提取自然图像的特征基向量；

The feature basis vectors of natural images can be successfully extracted by NNSC .

PCA方法是根据样本点在多维模式空间的位置分布，将样本点在空间中变化最大方向作为基向量来实现数据的特征提取与压缩。

According to the distribution properties of samples in the multi-dimensional space , PCA takes the direction that along which sample points changed greatest in the space for discriminant vector to realize data extraction and compression .

通过与四元数Julia集的比较，在分析它们之间联系的同时，着重研究三维可视化模型之间的区别，证明了存在于不同基向量之间的等价性。

Through the comparison with quaternion Julia sets and the analysis of relationship between them , the distinction in the 3D visualization model is studied , which proves the equivalence between the different base vectors .

由此提出了一种三维物理统计反演方法，该方法对三维空间的大气温度和湿度场作SVD，用这样得到的基向量来表征大气温度和湿度的空间结构。

Base on this , a three-dimensional physical-statistical retrieval method is proposed . In this method , by applying SVD to a three-dimensional temperature and moisture dataset , the spatial structure of these atmospheric parameters can be represented by using a few leading eigenvectors .

SO（3）群&O群不可约表示基向量的变换系数

The Transformation Coefficients Between the Irreducible Bases of SO ( 3 ) and O

基向量变化的灵敏度分析

Sensitivity analysis of the change of basis vector

丈中利用双梯度算法对自然图像的基向量进行迭代学习。

The basis vectors of the natural images were obtained by using fast conjugate gradient algorithm .

实验表明，提取的基向量在时域和频域上都有方向性和局部性。

The experiments show that the basis vectors are localized and oriented in space and in frequency .

向量与张量的各个分量或分解系数直接以基向量的显式表出。

The components of vectors and tensors and their coefficients are directly expressed in the explicit forms of basic vectors .

基向量法是求解近圆轨道间固定时间最优交会的一种几何方法。

Primer vector method is a geometric method for obtaining optimal solutions of the rendezvous between elliptical orbits of low eccentricity .

我们证明了，在非交换条件下，能够选择标准正交基向量成为任何固定序的酉算子。

We showed that in noncommutative case , orthonormal base vectors can be chosen to be unitary operators of any fix order .

根据正交估计原理和快速正交算法，利用非线性信道的输入和输出序列可以迅速估计出该差分方程的基向量和权系数。

Based on the orthogonal estimation principle and fast orthogonal algorithm , the base vectors and weight coefficients can be rapidly estimated .

建立了一个多光谱成像系统，用以比较基向量个数不同对反射率重建效果的影响。

And a multispectral imaging system was set up to analyze the result of spectral reflectance recovery for different amount of basis functions .

基向量个数越多，重构误差越小，对检测效果有很大的影响。

The more the number of basis vectors , the reconstruction error is smaller , has a great influence on the detection results .

其次，通过对输入矩阵和量测矩阵的奇异值分解，我们可以得到两组正交基向量。

Secondly , by computing the SVD decomposition of the control location matrix and observation matrix , the orthogonal bases of state vectors can be constructed .

该算法考虑了特征基向量的稀疏度约束和特征的最大化代表性，能够得到强化的图像局部特征；

This algorithm considered the sparse measure constraint of feature basis vectors and the maximized representativeness of features , and could obtain the strengthened localized image features .

在此基础上，参考以往学者对预处理共轭梯度法收敛策略的研究，提出一种新的自适应组合近似重分析算法，实现了根据结构修改量提前判断基向量个数的功能。

Finally , a new adaptive method which can estimate the number of basis vectors according the modifications is obtained based on previous study about preconditioning strategy .

实验表明，提取的特征基向量在时域和频域上都有方向性和局部性，表现了输入自然图像的边缘特性；

Experimental results show that the feature bases extracted are localized and oriented in the temporal and frequency domains , and this case shows efficiently edge features of natural images .

研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。

In this paper , the author researches the linear relation defined by a same nilpotent index in the independent vectors , obtains the distribution rule of the nilpotent indices on an arbitrary basis .

然后本章提出将组合近似法扩展到复模态问题的重分析之中，利用复特征向量的前二阶摄动解构造基向量，从而得到一个缩减的（3×3）复模态问题。

Then this section extends CA method to the reanalysis of complex eigenproblem . The second order perturbations of the eigenvectors are constructed as the basis vectors which is used to form a small scale ( 3 × 3 ) complex eigenproblem .

在此基础上，参考预处理共轭梯度法的收敛策略和组合近似法的特点，对收敛准则进行了改进，推导出根据结构修改量计算基向量个数的公式。

And then the convergence criterion is improved based on previous study about preconditioning strategy and the feature of CA approach . As a result , a new adaptive method which can estimate the number of basis vectors according the modifications is obtained .

证明了由相关相减算法实现的多级维纳滤波器是一种酉多级维纳滤波器，并且其各级的匹配滤波器与对应的降秩子空间的基向量相等。

Firstly , it was proved that the multistage wiener filter ( MWF ) implemented by the correlation subtraction algorithm ( CSA ) was a unitary MWF and that the matched filters were equal to the corresponding basis vectors of the rank reducing subspace in the CSA-MWF .

针对多输入-多输出（MIMO）非线性系统基于模糊基函数向量提出了一种新的自适应控制方法。

In this paper , a novel adaptive control approach based on fuzzy basis function vector is presented for Multi input and Multi output ( MIMO ) nonlinear systems .

基于基函数向量矩阵的二维离散余弦变换（2D-DCT），本文提出了一种改进的时变自回归（TVAR）模型辨识算法。

In this paper , we first proposed a modified algorithm for time-varying autoregressive ( TVAR ) model identification based on 2D-DCT of basis functions vector matrix .

边重构问题&连通图的支撑树系列基边向量总表

ON THE EDGE RECONSTRUCTION CONJECTURE & The complete set of spanning tree coordinates of a connected graph