查询词典 infinite matrix

A equivalent layer stiffness matrix which represents the information of the whole infinite domain is derived.

特别是对电磁开域问题和波导传输问题提出了一些新的有限元处理方法。

Nest algebras are the natural generalizations of upper triangular matrix algebras in infinite dimensional spaces and an important object...

套代数是上三角矩阵代数在无穷维空间上的自然推广，是一类重要的非自伴算子代数。

But , when we changeour trainofthought , we can find that sometimes using mathematical Analysis is a better solution to the linear algebraic problems.In thispaper, use the propertyofcontinuous function andimproper integralof infinite interval and to solve some matrix and quadratic form problems.Algebraic ideas andmethodstosolvemathematical analysisproblems are indicated by several specific examples. Close contactof differentmathematical analysis fields is shown.

该文探讨运用数学分析的有关知识（如：函数连续性、无穷区间的广义积分）和方法解决高等代数中的某些复杂、繁琐的问题；通过具体的实例，阐述高等代数的思想和方法在解决数学分析问题中的作用，揭示不同的数学领域之间的密切联系，例如：二次型与正交变换是代数学的基本内容，其用途十分广泛，而重积分的计算往往存在技术性的困难，若利用"二次型"与"正交变换"的有关理论去解决某些重积分的计算问题是颇有功效的。

In this paper, an un-circular piezoelectric inclusion embedded in an infinite piezoelectric matrix is analysed in the framework of linear piezoelectricity.

本文以椭圆夹杂为例，讨论了在线性压电学范围内的无限压电基体内嵌有非圆形压电夹杂的反平面问题。

By employing the 2D discrete dislocation dynamic modeling, the stress distribution in the vicinity of an isolate circular particle embedded in an infinite FCC matrix is investigated, and the void nucleation mechanism is discussed.

基于二维离散位错动力学模拟方法，研究了无限大FCC单晶体内微夹杂周围的应力场分布，讨论了夹杂处孔洞形核的可能机制。

Nest algebra is an important class of non-selfadjoint reflexive operator algebras, which is the natural generalization of upper triangular matrix algebra in infinite dimensional space.

中文摘要：套代数是一类重要的非自伴、自反算子代数，它是上三角矩阵代数在无穷维空间上的自然推广。

Summingthe infinite transfer matrix series exactly,the comparisonsbetween the experimental curves and our theoretical results showthat our physical picture and theory are suitable.

利用激光的相干性，单色性好的优点，获得消振荡，微区测吸收系数的方法。为了与实验比较，获得了峰谷比的理论公式，计算结果与实验上在精度10-2要求上一致。

The analytical solutions for the ABCD matrices of uniform transmission lines are expanded into matrix infinite series with very simple terms, from which two important properties about the time-domain response of all kinds of transmission lines are obtained. The lines analyzed may have frequency-dependent parameters and arbitrary terminals.

由于网络理论中ABCD矩阵的特殊性质，该方法对非均匀传输线时域响应的分析具有更大的优越性，能分析的传输线可以具有频变参数和任意负载终端，给出了计算非均匀传输线ABCD矩阵的两种方法，一种是将非均匀传输线等效为一系列由长度很短的均匀传输线构成的子网络的级联，另一种是用单步法直接求解ABCD矩阵所满足的微分方程。

Secondly, the problem of observer design for Lipschitz switched nonlinear systems is considered. By proposing a proper switching strategy and utilizing Schur complement formula and the related notion of LMI, we design a quadratically stable observer which can be used for both finite and infinite switched nonlinear systems. The main result is given in the form of linear matrix inequality. Simulations validate the correctness of the presented algorithms. The simplicity of the design algorithm makes it easy to be carried out.

通过设计适当的切换策略，利用Schur补公式和线性矩阵不等式的相关知识，给出了一种全局二次稳定的观测器的设计方案，这种方案适用于有限和无限切换系统，主要结果以线性矩阵不等式的形式给出，通过仿真实例验证了所提方案的正确有效性，该部分设计思路简单、易实现。

At present time thesemaps have become important objectors and tools in studying operator algebras. Nestalgebras is a class of most importaut non-semisimple, non-prime and non-self adjointoperator algebras. Their finite dimensional models are upper triangular matrix algebras,but the infinite dimensional models are more complex.

本文在已有成果的基础上，研究了一些类型的算子代数上的Jordan可乘映射，Jordan-triple可乘映射，Lie-skew可乘映射，初等映射，Jordan-triple初等映射，Lie导子，Jordan导子，局部导子和局部同构及其刻画问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。