本文研究了三角矩阵代数上保持交换性的可加映射的结构。
We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.
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。
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.
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。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
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。
For homotopic interaction, the saturation curve, molecular conformation vs ligand curve and certain correlation functions etc. are obtained by means of pure matrix algebra.
接着对矩阵代数m_3 (C)的子代数上的2 -上循环进行了等价刻画，得到了其上的双线性映射是2 -上循环的充要条件。
Subsequently, we character and study the 2-cocycles on a subalgebra of the algebra M3 (c) and obtain the necessary and sufficient conditions that a bilinear mapping is a 2-cocycle on this 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。
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.
代数和线性代数(比如,矩阵).他们会在教完代数后立即教线性代数.这也简单,这但相当多的领域非常有用,包括机器学习.
They should teach Linear Algebra immediately after algebra. It's pretty easy, and it's amazingly useful in all sorts of domains, including machine learning.
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。
So the third... the algebra way of looking the problem is the matrix form, in using a matrix that I'll call it a.
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。
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).
第二步，我们要找另一个矩阵，叫代数余子式。
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。
Finally, the equivalence properties between Boolean matrix representation and algebra representation of attribute reduction are proved.
摘要给出了线性代数中几个定理的矩阵证法。
Matrix proofs of several theorems in linear algebra are given.
用双代数形式表示的不变量具有简洁、具体的表达式，可以由图像点坐标和基础矩阵直接求出。
The invariants of double algebra's form has simple and explicit expression which can be computed directly by coordinates of image points and fundamental matrix.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
代数和线性代数(比如：矩阵)，他们会在教完代数后立即教线性代数。这也简单，但这在相当多的领域非常有用，包括机器学习。
Algebra and Linear algebra (i. e. matrices). They should teach Linear algebra immediately after algebra. It's pretty easy and it's amazingly useful in all sorts of domains including machine learning.
在线性代数方程组已解出之后，另一个课题需要修改它的系数矩阵，从而得到一个新的方程组。
After solving the system of linear algebraic equations, another problem is induced that requires revising this coefficient matrix in order to get a new system of equations.
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 methods used in this dissertation include matrix, algebra as well as differential geometry theory.
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 essential idea of current algebra is that matrix elements of various "current" operators are measurable in physical experiments.
本文用生成元和定义关系的方法，对每个可解可补李代数给出一个定义矩阵。
A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.
矩阵定义网路的代数方程。
探讨了矩阵标准形在高等代数理论中的若干应用。
This paper probes into some applications of the matrix normal form to advanced algebra theory.
借助计算机代数语言，编写对接梁的传递矩阵法程序。
The transfer matrix method is implemented with the computer algebra language.
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。
This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.
离散事件动态系统（DEDS）矩阵模型是一种逻辑运算与代数运算的混合系统。
Matrix model for discrete event dynamic simulation (DEDS) is a hybrid system with logical and algebraic components.
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。
The matrix factorization and its modification is one of the most effective techniques in numerical linear algebra.
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。
First, the matrix of elementary transformation in the use of advanced algebra in a very wide and easy to use.
提出一种可以在联合代数重建方法中快速计算投影系数矩阵并优化内存的方法。
An efficient way to compute projection coefficient matrix together with memory optimization is presented in this paper.
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 discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.
本文刻画了布尔代数上强保持交换矩阵对的线性算子。
In this paper, the linear operators that strongly preserve commuting pairs of matrices over are characterized.
本文刻画了布尔代数上强保持交换矩阵对的线性算子。
In this paper, the linear operators that strongly preserve commuting pairs of matrices over are characterized.
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