查询词典 linear algebra

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。

Secondly, for the spascial AF C* algebra-UHF algebra, I study the linear characterization of 2-local isometry on it: make use of the frame attribute, find the trace state of UHF algebra according to the one of matrix algebra and verify the 2-local isometry is linear.

充分利用UHF代数的结构特点，利用矩阵代数的迹态找到UHF代数的迹态，从而证明了2-局部等距的线性性质。

Stational systems ; Intermittent systems ; Liner ; Systems ; Computational methods of linear algebra ;/The minimum step control sequence

定常系统；断续系统；线性；系统；线性代数计算法；／最小拍控制序列

Linear algebra was used to derive an analytical expression for its point unfalsified probability , for the necessary and sufficient condition of the model set being consistent with the frequency domain input-output data.

应用线性代数方法通过对模型集进行讨论，根据一个模型集与对象频域输入输出数据相一致的充要条件，建立了模型集点非伪概率的解析表达式。

Objective:To develop a linear algebra model to imitate the process of the allele homologizing within a closed inbreeding population.

目的：试建立线性代数模型，以拟合封闭近交群体内等位基因纯化的过程。

The gradual process of allele homologizing in a closed inbreeding population is imitated quantitatively by using linear algebra model.

线性代数模型定量地模拟了封闭近交群体内等位基因逐步纯化的过程，同时能客观分析不同自交代之间的生物数学特征及内在联系，根据模型还能由初始条件预报纯化基因型的频率。

Linear algebra;teaching content;teaching method

中文关键词：线性代数；教学内容；教学方法

Gram-Schmidt algorithm is one of the fundamental methods in linear algebra, which is mainly used to compute QR decomposition.

Gram-Schmidt正交化算法是数值线性代数中的基本算法之一，主要用于计算矩阵QR分解。

By using the theory of linear algebra and that of groups,some sufficient and necessary conditions of isomorphic relation systems were found, and the degrees of the groups of these isomorphisms were obtained.

将线性代数及群论的有关知识应用到关系系统上，得到了两个关系系统同构的一些充要条件，并计算出这些同构所作成的群的阶数。

Parallel basic linear algebra subprograms have recently shown promise as a means of taking advantage of parallel computing in solving scientific problems.

平行的基本线性代数副程式是目前可行性极高的解决科学问题的平行计算方法。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐