查询词典 linear algebra

In chapter 1, the relations between spectrum displacement problem and controllability, observabiity for linear systems over a commutative Banach algebra have been discussed, the open problem about spectrum displacement posed by Kaashoek have been solved, and the if and only if conditions for stability, stabiizabit~ detectability have been obtained.

第一章，讨论了交换Banach代数上线性系统的谱配置问题与可控性、可观性的关系，解决了Kaashoek等提出的关于谱配置的公开问题，给出并证明了判定其稳定性、可稳定性、可检测性的充要条件。

We prove that every linear map preserving zero Jordan triple product and unit from nest subalgebras of factor yon Neumann algebras to Banach algebra with unit is a Jordan isomorphisms.

接着我们对至少有一个非平凡可比较元的CSL代数上的双向保零积线性映射进行了研究，得到此映射为同构。

Letbe Ra PID. M_n the n×n full matrix algebra over R,and f denotethe linear bijection over M_n.

设R是主理想整环，M_n是尺上全矩阵代数，f为M_n上的可逆线性算子。

Let R be an arbitrary commutative ring with identity, gl the general linear lie algebra over R consisting of all n × n matricesover R and with the bracket operation = xy -yx, t the lie subalgebraof gl consisting of all n×n upper triangular (resp., strictly upper triangular ) matrices over R and d the lie subalgebra of gl consisting of all n×n diagonal matrices over R.

在第三章中，对R是交换环的情形，讨论了典型李代数的导子代数的结构问题：设R是一个含幺交换环，gl是R上一般线性李代数。t是gl的所有n阶上三角矩阵(相应地，严格上三角矩阵)构成的子代数，d是gl的所有n阶对角阵构成的李代数。

In Chapter 3, modeling and analysis of the production line with a common buffer is discussed. First, a"non-linear"system equation is established using max-algebra approach.

分别讨论了缓冲区分离型模型和公共缓冲区型模型，对此种系统的缓冲区容量配置问题的提法作了详尽的描述和探讨。

To obtain state matrix A of linear differential algebra equation, the equation set of the model, then the eigenvalue of state matrix A and its effection on sensitivity of excition system are calculated by QR method.

对模型方程组进行线性化，得到线性微分-代数方程的状态矩阵A；使用QR法，计算状态矩阵A的特征值及特征值对发电机励磁系统参数灵敏度。

The algorithm is linear recursive and easy to realized by a recursive function in computer algebra systems.

在最后一章，我们研究了具有任意有理共振奇点的复自治多项式微分系统(即线性部分特征值比为n∶—m型奇点)的可标准化，可积性，线性化问题。

In §2, four met0hods for solving the integrable second order homogeneous linear ordinary differential equation with variable coefficientsy +py'+Qy=0 are given. Thus, the equation can be solved by means of elementary integrals and algebra.

给出了二阶变系数线性方程y＂＋py＇＋Qy＝0在可积的条件下的几种不同的求解方程，从而说明了这种可积的二阶方程不仅能用初等积分法求解而且也可以把它代数化，并使其通解公式化。

In addition also using algebra interpolation leveling system error, including the linear interpolation, the parabola interpolation and the partition interpolation.

此外还利用代数插值法校正系统误差，其中包括线形插值法、抛物线插值法和分段插值法。

Similar to the second conclution of chapter two, I also study the linear characterization of 2-local isometry on TUHF algebra. The way of proof is same.

第二方面类似于第一章中的第二个结果，讨论了三角UHF代数上的2-局部等距的线性性质，证明方法也是类似的。

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