The main purpose of this paper is to give a standard extension of Malcev algebras, and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra. 给出了马尔策夫代数的一个标准扩张,并研究了马尔策夫代数及其扩张间的可解和幂零关系。
Talking to them is like trying to have a human relationship with the letter X in algebra. 和他们交谈就像是想同几何学中得字母x建立人际关系。
Relationship of P-radical and Nil-radical of Finite-dimensional Restricted Lie Algebra 有限维限制李代数P-根基和幂零根基的关系
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。
In section 2, we firstly give the relationship between the involutionary automorphism of Lie algebra and standard imbedding Lie algebra of Lie triple system. Then we prove that the isomorphism of Lie triple systems implies the isomorphism of their standard imbedding Lie algebras. 第二部分首先证明了李代数的对合自同构与李三系的标准嵌入李代数的一些关系,接着证明了若李三系同构,则它们相应的标准嵌入李代数同构。
The corresponding relationship between slice imaging and CT imaging as well as their three dimensional reconstruction structures were established by the comparative study. Using AFS algebra and AFS structure, any human ordinary fuzzy concept can be represented. 通过对照观察,找出了薄层断面图像与CT图像,以及各重建结构的一一对应关系。
The relationship between the total template dependencies and the total join dependencies is probed into by means of abstract algebra. 以抽象代数为工具,探索了全样本依赖与全连接依赖之间的关系。
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。
The equivalent relationship between the algebra view and information view of rough set theory in consistent information systems is analyzed and the inequivalent relationship between these two views in inconsistent information systems are discovered. 本文对Rough集理论的代数观点和信息论观点进行了研究,分析了二者再相容信息系统中的等价关系,并发现了二者在不相容信息系统中的不等价关系。
Relation. The Design and Improvement on Algorithms about Trust Relationship Evaluation Based on Path Algebra 基于路径代数的信任关系评估算法设计与改进
At last the relationship between order ideal and algebra ideal in complex f-algebra are discussed in great details. 最后对复f代数中的序理想和代数理想的关系进行了刻画。
Spectrum Relationship on Algebra with Main Unit Element 有主单位元的代数上的谱关系
The relationship between algebra of the algebraic specification and the relation net schemes is discussed. The relationship between the algebra of the algebraic specification and the place/ transition net is discussed too. 讨论了关系网在同态下的性质,以及代数规范说明的代数与关系网模式和位置/变迁网的关系。
In which the following contents are involved and the corresponding results are obtained: ( 1) Image algebra is analyzed, and the relationship between image algebra and neural network model is established. 对图像代数进行了分析,建立了图像代数与神经网络模型之间的联系;
By the relationship between temperature and recovery force, select temperature as the feedback and THE USES OF CORRUGATED SHEET Sheet Wave-Shaped Die Using AFS algebra and AFS structure, any human ordinary fuzzy concept can be represented. 根据温度与回复力的对应关系,选用温度作为反馈量,采用闭环控制方案对该结构进行形状控制,并将实验测得的主动变形波纹板结构的自由端位移与数值模拟结果进行比较和分析。
This paper presents a new method for quantitatively determining the feature and displacement of a fault by using the spatial geometric relationship of the structural plans and lines and vector algebra theorem. 介绍一种利用构造面和构造线的空间几何关系,运用矢量代数理论,通过数学计算定量地确定断层位移性质和位移距离的新方法。
Vector quantitative product is one of calculations of vector algebra. It not only connects the conversion relationship between vector and algebra, but also solves effectively the problems of geometric measure and angle. 矢量数性积是矢量代数中的一种运算,它沟通了矢量与代数间的转换关系,同时它也有效地解决了几何度量和角度问题。
Relationship between solvable polynomial algebra and its two kinds of graded algebra under order filtration 可解多项式代数与它在阶滤子下两种分次代数的关系
An orthotropic constitutive relationship and damage evolution equations of orthotropic material are derived by employing the algebra invariant theory and irreversible thermodynamics theory. 基于代数不变量和不可逆热力学理论,建立了正交各向异性材料的损伤本构关系及损伤演化方程,研究了具损伤各向异性矩形板的后屈曲问题。
Because of this corresponding relationship, I try to transform some concepts and properties which in model theory and algebra into the extension of basic proposition logic, containing reduction, embedding, isomorphism. 由于存在这样的双向对应,因而本文尝试将模型论与代数上的一些概念与性质对应到基本命题逻辑的模态扩张上,包括归约、嵌入、同构等概念均可以与该模态逻辑的模型结合起来。