查询词典 generated subspace

The well-known invariant subspace problem is A long-standing problem in operator theory,which has been to determine whether every operator $T$ on a Banach space $X$ must have a nontrivial invariant subspace.

不变子空间问题是一个尚未解决的问题， Enflo反例所给出的没有不变子空间的算子不为任何算子的共轭。

Secondly, the concept of column space, cyclic invariant subspace and generalized cyclic invariant subspace were introduced.And some basic properties, such as separation lemma, were presented.

其次，引入列空间、循环不变子空间和广义循环不变子空间等基本几何概念，给出一些有关概念的基本性质，特别是分离引理。

Equivalently, it can be raised as follows: for an A operator T, if M and N are two invariant subspaces of T satisfying N include M and dimN/M=∞, then does there exist another invariant subspace L such that N include L, and L include M ? It is rather difficult to study the invariant subspace problem of general diagonal operators.

研究表明它可以约化为对角算子的不变子空间的情形，具体地它有如下的等价提法：对于A算子算T，，如果M和N是T的两个不变子空间，满足且dimN/M=∞，那么是否存在T的另一个不变子空间L使得M包含于L，且L包含于N？

According the characteristics of multivariable linear system, time-varying subspace identification method is studied, extending the ordinary subspace identification to the time-varying case.

定常系统的子空间方法利用SVD方法定阶，具有数值稳定的特点，但用于时变系统的辨识将导致大量的数值运算。

In this paper, we present an analysis of quotient image method from the view of image linear subspace, and point out its main deficien- cies: 1 inaccurate assumption of ideal class of object, 2 3-d subspace doesnt suffix to represent all images of an object under varying illuminations.

在本文中，我们从图像子空间的角度对商图像方法进行了分析，理论分析和实验表明，这种方法存在的主要缺点有：1不准确的理想类假设；2简单的三维点光源模型无法很好地近似任意光照情况。

In subspace projecting point of view, chapter 8 considered a transient detecting scheme base upon matching projecting on the linear time-frequency subspace of observing space, and gave a fast implementation way of matching filter for two type of signals, together with its performance analysis.

第八章从子空间匹配投影的角度研究了一种基于线性时频变换信号子空间匹配投影的暂态信号检测方案，推导了线性时频域上两种信号的匹配检测器的快速实现形式并进行了性能分析。

When the number of facial feature dimensions is much larger than the number of face samples, the subspace learned from the common linear subspace is not smooth and sparse solutions can not be obtained.

当人脸特征维数远远大于样本数目时，一般线性子空间方法学习得到的嵌入子空间非光滑且不能获得稀疏解。

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。

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。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。