查询词典 infinite matrix

Although the infinite Toeplitz matrix can not be dealt with the methods for finite matrix, it is found that its spectral is continuous by a series of pertinent elementary transformations for infinite matrices.

虽然这类矩阵不可以用有限阶矩阵的方法处理，但通过一系列相伴的初等变换，发现它们的特征值是连续变化的，获得特征向量的递推公式，从而得到这些算子的谱的连续性的一个直观证明。

Based on the genetic concepts of biology, the system of computer could make use of the components from the argenia, with the logical code and operational procedure, to produce an infinite matrix of architectural variations during the design process. The approach will develop the complexity of the future architecture.

这种设计方法基于生物学的基因理论，利用生成图码库的设计要素，通过一种可以操作的程序编码和步骤，让计算机进行建筑设计，将建筑设计的过程变成一个开放的形象设计体系，以求充分表现未来建筑的复杂性。

In this article, the stress inside a quantum-wire structure is studied. Based on the derived expression of the stress inside a quantum-wire structure with arbitrarily shaped cross section, the analytical solution of the stress inside a trigonal quantum-wire structure in an infinite matrix is obtained.

研究了晶格失配和热失配在半导体量子线结构中所产生的弹性场，在分析圆柱形量子线结构弹性场的基础上，推导得到了任意截面形状量子线结构解的一般形式，并给出无限大基体内横截面为三角形量子线结构的解析结果。

On the characterizations of spaces by the infinite matrix methods,let E be a topo-logical vector space,if for each 〓 and 〓,there is a sequence 〓 in A suchthat 〓.Then E is said to be a sequential topological vector space.

在无穷矩阵方法对空间的刻划方面，设E是一个拓扑向量空间，若对每个〓一定存在A中序列〓使得〓，那么称E是一个序列型拓扑向量空间。

By using theconvergence properties of infinite matrix in E and the sequentially open sets notion,it pr-esents a criterion for the sequential topological vector spaces.

本文首先借助于E中无穷矩阵的收敛性态及序列开集概念给出了E是序列型空间的刻划。

Based on the genetic concepts ofbiology, the system of computer could make use of thecomponents from the argenia, with the logical code andoperational procedure, to produce an infinite matrix ofarchitectural variations during the design process.

这种设计方法基于生物学的基因理论，利用生成图码库的设计要素，通过一种可以操作的程序编码和步骤，让计算机进行建筑设计，将建筑设计的过程变成一个开放的形象设计体系，以求充分表现未来建筑的复杂性。

The local stress and average stress in different phases for a particle or a fiber with a graded interphase embedded in an infinite matrix under a general macroscopic loading are derived, then Mori-Tanaka and the generalized self-consistent methods have been used to evaluate the effective elastic and viscoelastic properties of the composites.

首先给出了具有沿径向连续变化界面层的颗粒或纤维放在无限大的基体中在静水压力和纯剪切载荷作用下的局部关系，然后利用Mori-Tanaka方法和广义自洽方法分别得到相应的复合材料的有效弹性模量和粘弹性中的储存和耗散模量。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

For the analysis properties of infinite matrix,first,it establishes the automatic conti-nuity theorems on the sequence spaces with 0-GHP or WGHP,and the automaticboundedness theorem on the sequence spaces with 0-GHP.

在无穷矩阵的分析性质方面，建立了具有0-GHP或具有WGHP的矢值序列空间上无穷矩阵算子的自连续性定理，以及具有0-GHP矢值序列空间上无穷矩阵算子的自有界性定理。

Secondly, the interphase layer is homogenized as a micropolar material model, and the analytical expressions for the local stress and couple stress and their corresponding average are derived for a coated fiber embedded in an infinite matrix under remote classical loading. This exact relation is compared with that determined through an approximate average equivalent inclusion method , and results show that the AEIM has good accuracy to be applied to evaluate the effective property.

就有效性质而言，对于所考察的硬界面复合材料来说均匀界面层的估计要高于非均匀界面层，但两者相差不大；对局部应力分布的预测，均匀界面层与非均匀界面层有较大差别，这说明对于与局部应力密切相关的损伤现象的预测，考虑非均匀界面层是十分必要的。

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。