This paper characterizes symmetric ternary cellular automata (CA -3) with the help of matrix algebra.

本文提出对称三值系统中的元胞自动机(CA - 3)的特征化表示方法。

The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.

本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。

Moreover, a fuzzy inference mechanism was developed to form the core of fuzzy expert system frame, which could be realized through linear fuzzy matrix algebra.

此外，还开发了用以形成模糊专家系统框架核心的推理机制，并通过线性模糊矩阵代数运算予以实现。

For homotopic interaction, the saturation curve, molecular conformation vs ligand curve and certain correlation functions etc. are obtained by means of pure matrix algebra.

对于等同配位体的相互作用，以纯矩阵代数方法，得到饱和曲线，分子构象-配位体曲线以及某些关连函数等等。

It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.

交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。

The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.

本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。

It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions, graphics, and matrix and polynomial algebra.

它在各种各样的计算机系统上运行，尤其擅长于涉及任意长度整数和小数、图、矩阵和多项式代数的算术。

Even though two-dimensional arrays are similar to matrices from linear algebra, operations (such as multiply) have nothing to do with the operations in linear algebra (such as matrix multiplication).

虽然二维数组与线性代数中的矩阵类似，但是对它们的操作(比如乘)与线性代数中的操作(比如矩阵乘)是完全不同的。

So the third... the algebra way of looking the problem is the matrix form, in using a matrix that I'll call it a.

所以第三…用代数的方法审视这个问题是使用我称之为a的矩阵表示的矩阵表格。

Finally, the equivalence properties between Boolean matrix representation and algebra representation of attribute reduction are proved.

最后证明了属性约简在布尔矩阵和代数两种不同表示下是等价的。

Matrix proofs of several theorems in linear algebra are given.

摘要给出了线性代数中几个定理的矩阵证法。

The methods used in this dissertation include matrix, algebra as well as differential geometry theory.

本文采用的研究方法有矩阵方法，代数方法和微分几何理论。

The essential idea of current algebra is that matrix elements of various "current" operators are measurable in physical experiments.

流代数的基本概念是各种“流”算子的矩阵元在物理实验中是可以测量的。

The matrix factorization and its modification is one of the most effective techniques in numerical linear algebra.

矩阵分解的校正技术是数值线性代数中最有效的工具之一。

This paper probes into some applications of the matrix normal form to advanced algebra theory.

探讨了矩阵标准形在高等代数理论中的若干应用。

This paper discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.

本论文主要讨论了矩阵的初等变换在高等代数线性代数以及初等数论中的广泛运用。

This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.

讨论了线性代数中矩阵的秩、向量组的秩与线性方程组的秩之间的关系。

The transfer matrix method is implemented with the computer algebra language.

借助计算机代数语言，编写对接梁的传递矩阵法程序。

This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.

本论文主要论述了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

A concept of kernel matrix of quaternion is proposed, which is based on rotation group algebra and with spacecraft attitude control as its background.

基于旋转群代数，以航天器姿态控制研究为背景，提出了四元数的核心矩阵的概念。

Using the notion of coefficient matrix and maximal element. We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.

利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。

We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.

利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。

This paper explores the row-column monotonicity of matrix in the light of maximal algebra and presents the row-column monotonicity of multi-exits serial production line system matrix with buffer.

研究了极大代数意义下矩阵的行列单调性质，给出了带缓冲器的多出口串行生产线系统矩阵的行列单调性。

First, the matrix of elementary transformation in the use of advanced algebra in a very wide and easy to use.

首先，矩阵的初等变换在高等代数中的用途很广，且使用方便。

In this paper, we study the problem of a kind of matrix in the sense of minimax algebra by using graph theory method and present the property of matrix power element.

用图论方法对一类极大代数意义下矩阵进行了研究，给出了矩阵方幂元素的性质。

In this paper, author defines algebra operation for linear time-variable systems note: ? There are many difference between this methods and matrix for time-variable systems.

本文对时变线性系统定义了代数运算(？)。它与时变线性系统的矩阵方法有许多不同之处。

By using discussing the relationship of two-kinds of algebra, the conversion matrix of expansion coefficients are derived.

最后讨论两种代数之间的关系，并求出函数展开式系数之间的转换矩阵。

This paper presents an algebra method for constructing LDPC code based on Vandermonde matrix, which includes quasi-cyclic Q matrix and the perfect cyclic difference sets.

对准循环Q矩阵和完全循环差集进行了研究，在此基础上提出了一种LDPC码码族的代数构造方法。

The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.

利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。

Involves the membership function specifically, the operations research, and so on linear algebra, as well as mathematical model of analytic hierarchy process, matrix representation and so on.

具体涉及隶属函数，运筹学，线性代数等数学知识，以及层次分析法，矩阵计算等数学模型。