Rank and decomposition of infinite matrix over a division ring are discussed. Two rank-finite matrices are same-inverse equivalent if and only if their rank equal is proved.
讨论除环上无限方阵的秩及分解问题。证明了除环上秩有限的二无限方阵同逆等价的充要条件是它们的秩相等。
Some basic necessary and sufficient conditions for the existence of various inverses of a row-column-finite infinite matrix a over a field K are proved by compactness arguments.
用紧致性论证给出了任一域k上行列有限的无限方阵a具有各种逆方阵的基本的充分必要条件。
A matrix, or grid, of cells, each of which can be in one of a finite number of states.
细胞矩阵或者网格，每个细胞可以处于有限种状态中的一种。
A sufficient condition is obtained using finite dimension linear matrix inequalities (LMI) describing by linear (parameter-variety) control.
最后通过线性参变控制，获得了用有限维数线性矩阵不等式描述的充分条件。
Method for computing the element restoring force, rather than the stiffness matrix, is the most important factor that determines the accuracy of a geometric nonlinear finite element problem.
几何非线性单元的精度主要决定于单元恢复力的计算方法，刚度矩阵对单元精度的影响很小。
This paper gives some properties of companion matrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code.
本文给出了有限域上多项式的友矩阵的某些性质，及其在计算线性移位寄存器序列的周期和循环码的最小长度的应用。
In this paper, finite representation module in ring of formal triangle matrix is studied.
本文对形式三角矩阵环上的有限表示模进行了一些探讨。
An equivalent condition for a finite order stochastic matrix to be a discrete skeleton is found in this paper.
本文找到了有限阶随机矩阵为离散骨架的一个比较初等的等价条件；
This pager sets up a new matrix distinguishing way of a transitive binary-relation in a finite set based on analysis of transitive binary-relation.
文章对可传递关系进行了相应的讨论，并在此基础上给出了有限集合上可传递二元关系的矩阵判别方法。
We analyze the band structure of evanescent wave in the CPRW by Bloch theory, and discuss the transmission properties of the CPRW with a finite number of periods by transfer matrix method.
然后利用布洛赫理论分析了CPRW中存在的倏逝波的带结构，利用传输矩阵的方法讨论了有限周期的CPRW的透过率特性。
This paper with elementary transformation of matrix discusses some properties of a set of vectors in finite dimensional vector space and the theory basis of this method is given.
该文利用矩阵的初等变换解决有限维向量空间中向量组的线性性质的有关问题，并给出了这种方法的理论依据。
A set of matrix pairs can be constructed with finite dimension parameterization if the necessary condition is satisfied.
若该必要条件成立，则可构造出一个有限维参数化的矩阵对集合。
This method is available for solving large matrix equations with (Finite Element method) or Finite Differential Element method.
该方法克服了有限元或有限差分法需求解大型矩阵方程的困难，计算简单、结果可靠。
Given a Q matrix, whose elements are finite.
设给定一个矩阵q，其元素均有限。
The finite element method is used to analyze the relationship between strength and stress of the particle reinforced iron matrix composites and the shapes, sizes and fraction volume of the particles.
采用有限元方法分析了颗粒增强铁基复合材料强度和应力与颗粒形状、尺寸以及体积分数的关系。
Then the direct centrosymmetric solutions were obtained by applying the iterative method in finite steps an arbitrary initializing centrosymmetric matrix.
使用该方法，对任意给定的初始中心对称矩阵都可在有限步内迭代求出它的中心对称最小二乘解。
The sensitivity matrix was calculated numerically by the finite difference method.
灵敏度系数矩阵是通过有限差分方法近似计算得到的。
Finite element method is used to build up element stiffness matrix and element mass matrix. After the combined total stiffness matrix and the total mass matrix are obtained.
采用有限元法建立不同管道元件的单元刚度矩阵和单元质量矩阵，最终形成管道结构的总刚度矩阵和总质量矩阵。
By this iterative method, the solvability of the equations can be determined automatically, and its reflexive matrix solution or least-norm reflexive matrix solution can be got within finite steps.
该算法可以判断矩阵方程组是否有自反矩阵解，并在有自反矩阵解时，可以在有限步迭代计算之后得到矩阵方程组的一个自反矩阵解或者极小范数自反矩阵解。
We extend finite state automata with logic rules, trust matrix and actions of principals to analyze E-commerce protocols.
定义了一个信任矩阵和一个动作集合，并将它们和逻辑规则一起引入有限状态自动机为协议参与者建模。
The bases selected by both parties are hidden by making use of ergodic matrix over finite field.
通过利用有限域上的遍历矩阵对当事双方各自所选择的基进行隐藏，实现了交换操作。
Based on the finite element method, the element stiffness matrix for each element is set up.
根据有限元理论，建立各单元刚度矩阵。
The calculated result is consistent with that by finite element method and transfer matrix method.
与“有限元法”和“传递矩阵法”的计算结果进行了对比，结果基本一致。
In finite element analysis, node numbering plays a decisive role in determining the bandwidth of the global stiff matrix.
在有限元分析中，节点编号对整体刚度矩阵的带宽起着决定性的作用。
The natural frequency of the gas column in simple pipelines was solved using the finite element analysis method. The result agreed with that derived with transportation matrix method.
采用有限元分析方法，对简单管道气柱的固有频率进行求解，其结果与用传递矩阵法求得的结果是一致的。
While deriving the finite element equation, get the cable's strain formula considering the big distortion, get its geometry rigidity matrix and elastic rigidity matrix.
在有限元法推导方程的过程中，考虑到拉索大变形的应变表达式，求得它的几何刚度矩阵和弹性刚度矩阵。
In the finite element simulation of foundation pit excavation, the stiffness matrix of soil, the external loads and the excavation load are changed with the increasing depth.
在对基坑开挖的有限元模拟中，土体刚度矩阵、外荷载和开挖荷载等都随开挖深度的变化而变化。
BERMAN updating arithmetic makes use of experimental model matrix and eigenvalue to modify the finite element academic model, based on the model orthographical condition of non-damping system.
BERMAN修正方法基于无阻尼系统的模态正交条件，利用实验模态矩阵和特征值对有限元理论模型进行修正。
Matrix step is low by using the finite element transfer matrix method. Natural frequency by calculation approaches to actual natural frequency and the error is allowable.
用有限元传递矩阵法分析火炮身管固有振动特性，矩阵阶次低，计算所得的固有频率与实际固有频率接近，误差在允许的范围内。
Matrix step is low by using the finite element transfer matrix method. Natural frequency by calculation approaches to actual natural frequency and the error is allowable.
用有限元传递矩阵法分析火炮身管固有振动特性，矩阵阶次低，计算所得的固有频率与实际固有频率接近，误差在允许的范围内。
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