matrix algebra

1. Calculus, differential equations, linear algebra, statistics, computer science and at least one in numerical analysis, matrix algebra or computer systems.
   微积分，微分方程，线性代数，统计，计算机科学和至少一数值分析，矩阵代数或计算机系统。
2. A rectangular array of elements, arranged in rows and columns, that may be manipulated according to the rules of matrix algebra.
   由横排成行、纵排成列的元素组成的一种矩形阵列，可按矩阵代数规则对其进行运算。
3. Power preserving additive operators on triangular matrix algebra
   关于三角矩阵代数的幂保持加法算子
4. The recurrence formula, which satisfies the necessary linking condition of the matrix algebra method for conformation statistics, of the statistical weight matrices of the mth-order interaction approximation for linear polymer chains is derived.
   导出了线性聚合物链m级相互作用近似统计权重矩阵的递推公式，它满足构象统计的矩阵代数法所要求的连接条件。
5. This paper deals with the formulae for transformation between two different geodetic coordinate systems and between two different rectangular space coordinate systems derived in terms of the matrix algebra with rotation ( R), metric ( H) and Jacobian ( J) matrices.
   本文利用旋转矩阵（R），度量矩阵（H）和雅可比矩阵（J）按矩阵代数导出不同大地坐标系和不同空间直角坐标系的换算公式。
6. Suppose F is a field of characteristic not 2.Let M_n ( F) and S_n ( F) be the n × n full matrix algebra and symmetric matrix algebra over F, respectively.
   设F是一个特征不为2的域，Mn（F）和Sn（F）分别记F上的n×n全矩阵代数和对称矩阵代数。
7. 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。
8. In this paper, we construct some maximum subalgebras of the Matrix Algebra which dimension is not equal to n 2-n+ 1, and make out the problem supported by Li Libin in [ 1].
   本文构造出Mn（R）的一批极大子代数，它们的维数都不等于n2-n+1，因而也就解决了李立斌等在[1]中提出的问题。
9. A elementary proof of identical polynomial theorem and it's applications in matrix algebra
   多项式恒等定理的一个初等证明&兼谈多项式恒等式定理在矩阵代数中的应用
10. 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。
11. Further discussing for fuzzy matrix algebra
    Fuzzy矩阵代数的进一步研究
12. The upper triangle 2 × 2 matrix algebra;
    上三角2×2矩阵代数；
13. In this paper, we prove that the set of all stochastic matrices is a maximum subalgebra of matrix algebra.
    本文证明了n×n阶Stochastic矩阵全体是全矩阵代数的一个极大子代数。
14. 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。
15. Fuzzy Graph and Matrix Algebra
    模糊图与矩阵代数
16. In this paper, formal derivation of the Kalman filter is made on the basis of an elementary knowledge of probability theory and matrix algebra. The structure of this filter formula and its application have also been illustrated through an example of estimating ship's position.
    本文用较少的概率论和矩阵代数知识对卡尔曼滤波公式作了形式上的推导，并以船位估计问题为例介绍了滤波公式的结构和它的应用。
17. Let г be 3 order triangular matrix algebra, mod Γ be finitely generated module category over Γ and Γ~ ζ equivalent category with Γ.
    设Γ是三级三角矩阵代数，modΓ表示Γ上的有限生成模范畴，Γζ是与modΓ等价的范畴。
18. In view of the above, combining singularity functions and matrix algebra, author presents a singularity function method in the analysis of high-rise building structures for the first time.
    据此，作者首次将奇异函数与矩阵代数相结合，提出了高层结构分析的奇异函数法。
19. The Method of Formal Power Series in Matrix Algebra
    形式幂级数方法在矩阵运算中的应用
20. Another characteristic of the commutator space of matrix algebra over a closed field
    闭域上矩阵代数的交换子空间的另一特征
21. We present the trigonometric representations of structured matrices by using displacement rank and commutative Hessenberg matrix algebra. Applications on Toeplitz and Toeplitz-plus-Hankel matrices are discussed.
    利用位移秩和交换Hessenberg矩阵代数给出结构矩阵的三角表示，并讨论在Toeplitz矩阵和Toeplitz+Hankel矩阵方面的应用。
22. State Space of Matrix Algebra
    矩阵代数的态空间
23. For a long time, the matrix algebra method has been wildly used for struc-ture analysis.
    矩阵代数在结构分析中的应用，由来已久，且极普遍。
24. In this paper, the local linear mappings on the subalgebra of matrix algebra M_3 ( C) are studied.
    研究了矩阵代数M3（C）中一类特殊子代数A上的局部线性映射。
25. In this paper, the maximal regular ideal of Matrix Algebra was formed. And using the relation of pure state and maximal regular ideal ofC-algebra, the pure state of Matrix Algebra was formed because the Matrix Algebra is a C-algebra.
    应用C-代数的纯态与极大正则左理想的一一对应关系，从解决矩阵代数的极大正则左理想的构造出发，构造出了矩阵代数的纯态，从而解决了矩阵代数的态空间的构造。
26. This paper gives the definition of triangular matrix rings of order 3 Γ, and by establishing an equivalent functor F, proved here is also the equivalence between finitely generated module category mod Γ over triangular matrix algebra Γ of order 3 and category Γ ￡.
    文章给出了三级三角矩阵环Г的定义，通过建立一个等价函子F，证明了三角矩阵代数Г上的有限生成模范畴modГ与Г￡是等价的范畴。
27. In the thesis, such mathematical and mechanical knowledge as matrix algebra, tensor analysis, homogeneous coordinates and their transformation, Lagrange's and Euler's dynamics equations are used to analyze the kinematics and dynamics of the 3-dimensional shaker mixer in great detail.
    作者运用矩阵代数、张量分析、齐次坐标及其变换以及拉格朗日方程、欧拉方程等数学和力学工具，对三维摆动混合机进行了较为全面的运动学和动力学分析。
28. Non-singular H-matrix has an important application in matrix algebra and computational mathematics. It plays an important role in economy mathematics, electric system, control theory and many other fields.
    非奇异H-矩阵在矩阵代数和计算数学的理论研究中有着广泛的应用，在众多科学领域如经济数学、电力系统理论、控制论等都有着重要的意义和实用价值。
29. A new fixed-point ICA algorithm is introduced into BSS for audio mixtures, and an algorithm of BSS based on FIR matrix algebra with block implementation is given. The experiments demonstrate the efficiency of the new algorithm. 3.
    本文尝试将一种新的定点ICA算法用于分离多通道混合语音信号，给出了一种基于FIR矩阵代数技术的时频域的新算法，实验证明了算法的有效性和较快的收敛速度。
30. On the other hand, the group graded algebras, in particular, group graded algebra structures on a matrix algebra is one of important topics in algebra research. Many mathematicians are engaged in this research area.
    另一方面，分次代数，尤其是矩阵代数的分次结构是代数学重要研究内容之一，有许多数学工作者从事这方面的研究。

noun

1. the part of algebra that deals with the theory of matrices