最后一部分中，我们讨论左对称代数和李代数上的左对称结构在着色李超代数中进一步的推广。
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
通过研究双对称代数的对偶结构，主要讨论双对称余代数的张量积及双对称代数和双对称余代数之间的对偶关系。
The tensor products of double-symmetric coalgebras and the dual relationships between double-symmetric algebras and double-symmetric coalgebras are discussed.
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.
布尔代数上保序对合映射与对称运算等价；
The order-preserving doubly mapping on a Boolean algebra equivalents to symmetry operation;
基于线性代数与矩阵理论，给出利用LDLT分解计算实对称矩阵特征值的递归算法。
A recursive algorithm for calculating the eigenvalues of a real symmetric matrix based on LDLT decomposition is given.
讨论了李超代数上的左超对称结构与其上的1维上同调群的关系。
It discusses the relationship between left-supersymmetric structures on Lie superalgebra and its 1 th cohomology group.
在BZ代数中引入元素周期的概念，并讨论了零对称BZ 代数元素周期的重要性质。
The notion of periods of elements in BZ algebras is introduced, and its important properties in the frame of zero symmetric BZ algebras are discussed.
并通过算子代数的分解以及对称理想的结构给出各类退化算子代数的一般形式。
And give general forms of every class of degenerate operator algebras by the representations of this algebra and constructions of symmetric ideals.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。
In the present paper, the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given.
我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
单极本征函数在不同动力学0(2,1)基底中的代数规律性表明径向相空间的对称性。
The algebraic regularity of monopole eigenfunctions in various dynamical0 (2, 1) basis shows the symmetry in radial phase space.
进而，从对称的观点说明婚姻形式从简单到复杂的演化过程，代数上对应于对称群阶数的增加，几何上则对应于对称性的加强。
Furthermore, it illustrates when the form of marriage changes from simplicity to complexity, the group has better symmetry on geometry, the order of the group is h...
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
介绍了一种基于代数算法的回转对称非球面计算机控制表面成形的驻留时间算法。
A dwell time algorithm for the magnetorheological finishing (MRF) of the small axis-symmetrical aspherical surfaces is described.
介绍了一种基于代数算法的回转对称非球面计算机控制表面成形的驻留时间算法。
A dwell time algorithm for the magnetorheological finishing (MRF) of the small axis-symmetrical aspherical surfaces is described.
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