查询词典 ordered linear space

Linear space linear algebra is the most important subjects, one of the most basic concepts.

线性空间是线性代数最主要的研究对象、最基本的概念之一。

Based on an introduction to the robust control of uncertain linear systems and a survey on the past and recent contributions to the related polynomial algebraic method, state space method and frequency domain method, this dissertation focuses on the robust control problem of uncertain linear systems in frequency and time domain.

本文首先就不确定线性系统的鲁棒控制问题作一扼要的介绍和概括，并分多项式代数方法、状态空间方法和频率域方法对其历史发展及其研究现状进行了比较全面的综述。

In this dissertation, we mainly discuss the resonance theorems for families of linear and nonlinear operators, and the theory of bounded linear operator space in F~* spaces.

本文主要研究F~*空间上的线性、非线性算子族的共鸣定理和有界线性算子空间理论。

When the solution for the linear equation is not unique, this thesis discusses the solution space of homogeneous equation and gives an orthonormal system, which yields all solutions of linear equation.

同时在再生核空间W_2~1中给出了一种求解该问题的稳定数值算法。对实际数据用该算法进行数值模拟，并与以前的工作相比较，得到了较好的结果。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

Some striking examples of this are the group of invertible linear maps or matrices, and the ring of linear maps of a vector space.

在这里，一个向量是一个有方向的线段，由长度和方向同时表征。

According to the fact that the sum of linear subspaces, each of which is spanned by the rows of all points in each image, is equal to the linear subspace spanned by the rows of space points, projective depths are estimated.

深度因子则根据每幅所有图像点构成的行向量生成的线性子空间和与射影重建空间点构成的行向量生成的线性子空间是同一线性子空间的特性被估计出来。

Base vectors are selected for formulating the nonlinear mapping. An approximate explicit expression is formed by using the Nystrm method for nonlinear mapping which is not available originally. The data in the nonlinear input space is mapped into some linear feature subspace and fisher linear discriminant analysis is computed for the mapped data.

首先提取基向量；然后采用Nystrm方法，以基向量为训练样本，将形式未知的非线性映射近似表达为已知形式的非线性映射，这种近似的非线性映射将变量由非线性的输入空间转换到线性的特征子空间；最后对映射数据进行线性Fisher判别分析。

By using methods of passivity and switching control of states of the linear subsystem, both stabilization of the linear subsystem and invariance of the specified region in state space can be guaranteed simultaneously. Hence, a sufficient condition for the robust invariance switching control of this class of systems was derived.

通过基于鲁棒严格无源技术和线性子系统状态反馈的切换控制来镇定线性子系统，同时保证了指定区域的正不变性，从而得到了该类系统鲁棒不变切换控制的充分条件。

By the analyses on the existing detector generating algorithms, we achieved the improvement of the linear time detector generating algorithm, which was widely used at present. The efficiency of the linear algorithm was improved by eliminating the reluctant detectors, and at the same time the improved algorithm was ensured to cover the nonself space as much as possible.

在分析已有的检测器生成算法的基础上，改进了目前使用最多的线性检测器生成算法，通过消除冗余的检测器提高了线性检测器生成算法的效率，同时还保证了改进后的算法能够尽可能多地覆盖"非我"空间。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。