查询词典 invariant subspace

It relies on the facts that the rows composed of all the image points span the same linear subspace as the rows composed of the 3D space points and that the basis of the subspace can consist of the two rows composed of the first image points and a row vector which is orthogonal to the former.

所有图像序列构成的行向量与3维空间点构成的行向量所生成的子空间是同一线性子空间，而且由第1幅图像点构成的2个行向量外加1个行向量就可以组成该子空间的一个基底。

In addition,3-d subspace in quotient image method doesn't suffice to represent all images of an object under varying illuminations.Therefore,an improved method based on image on 9-d linear subspace constructed using 9 images of object under the configuration is presented to overcome these deficiencies.And 9 images of another object under the configuration are generated.

此外，商图像方法中简单的三维点光源模型无法很好地近似任意光照情况，因此，提出一种基于九维线性子空间的改进的商图像方法，并利用改进后的商图像方法合成对象在统一配置光源方向下的9幅图像，克服了Lee所提方法的不足。

The method relies on the facts that the row vectors composed of all the image points span, the same linear subspace as the row vectors composed of 3D space points span and that a basis of the subspace can consist of two row vectors composed of all the image points and one row vector in 3D space that is orthogonal to the former. The row vector can be determined, and the 3D reconstruction is accomplished. The novelty lies in the fact that the method can treat all the image points uniformly.

利用所有图像序列构成的行向量生成的子空间之和与三维空间点构成的行向量生成的子空间是同一线性子空间、同时由所有图像点构成的2个行向量外加一个行向量就可以组成该子空间的一个基底的特性，线性地求取子空间中的行向量，最后完成三维重建。

Based on the array signal processing and the eigenstructure decomposition method, the signal subspace and the noise subspace are achieved by reconstructing and decomposing the data matrix collected by the array sensors. By using the orthogonal properties of the two subspaces, the information about the velocities and bearings of spatial moving targets can be exactly obtained.

本文提出一种超分辨的二维谱估计方法，它利用的是阵列处理技术，对天线接收数据进行本征分析，将信号数据张成一个空间并对其进行分解，根据正交原理分割成信号子空间和噪声子空间，构造出噪声本征矢量，利用信号子空间与噪声子空间的正交性，在空间谱上形成极值点，从而达到对方向和速度的二维高分辨率估计。

The number of desired signals is detected by using singular value decomposition. And the array input is transformed into the signal subspace. Orthogonality is derived for the weight vectors in multiple beamforming on this subspace. According to which, an orthogonal constant modulus algorithm is proposed by introducing the orthonormalization procedure into the static least square constant modulus algorithm.

利用奇异值分解确定了用户信号的个数，并把天线阵接收的数据矩阵映射到信号子空间上，进而在该空间中讨论波束形成问题并导出了多用户波束形成的必要条件，依据此条件将正交化过程引入最小二乘恒模算法并提出了正交化恒模算法。

We design the parallel methods of Krylov Subspace Methods and the PPAT-precontioned Krylov Subspace Methods, implement them on YH-3 supercomputer, analyze their scalabilities on YH-3 supercomputer.

我们设计了Krylov子空间方法以及PPAT预条件Krylov子空间方法的并行算法，在YH-3上进行了性能测试，并分析了它们在YH-3上的可扩展性。

The computational formula of the gradient matrix in subspace is obtained by applying Taylor series expansions, decomposition theorem of space and projective theorem (The gradient matrixs in different subspace are different).

利用子空间上的泰勒展式、空间分解定理以及投影定理得到了子空间上梯度矩阵的计算公式(不同的子空间，梯度矩阵是不相同的)。

In order to make problems simple relative map germs which map proper subspace R~s of R~m to proper subspace R~t of R~n are considered in the paper.

本文将相对映射芽的基本理论与经典奇点理论相结合，把A等价的判断条件应用到相对映射芽环中，推广了原有结论，得出了在两个C~r相对映射芽κ等价条件下判断其A等价的方法。

Based on the stochastic subspace method, the projection from row space of future data to that of data is modified to an update mode for subspace tracking.

基于随机子空间算法，利用矩阵空间的性质和QR分解将行空间到过去行空间的投影展开为一种用于跟踪的修改递推模式。

This method exploits eigenstructure of thd received signal's sample correlation matrix in which the observation space can be partitioned into a signal subspace and a noise subspace.

该方法利用了接收信号协方差矩阵的特征结构，把观测子空间分解成为信号子空间和噪声子空间。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。