查询词典 simple algebra

We prove that any irreduciblesymmetric self-dual Lie algebra 〓 whose Cartan subalgebra consists of semi-simpleelements is in one of the following classes:(1)〓 is simple;(2)〓 is 1-dimensional;(3)〓is solvable.

第五节讨论Cartan子代数由半单元构成的对称自对偶李代数的结构，证明了不可约对称自对偶李代数g如果它的Cartan子代数由半单元构成，那么它只能是下列情形之一：（1）g为单李代数；（2）g是1维的；（3）g是可解的。

Meanwhile this dissertation points out the form and properties of basic symmetric function、simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

提出了在或、符合代数系统中基本对称函数、简单对称函数及基本CRM对称函数的形式及性质，并详细讨论了对称函数三种展开式系数之间的关系和各种转换方法。

From the view of algebra,the concrete constructions of ideal s and ideal conuclei on right-sided and idempotent Quantale are studied,and it is proved that every ideal is a principal ideal and every ideal conucleus is simple.

从代数角度研究了右侧幂等Quantale中的理想和理想余核的具体结构，并且证明了右侧幂等Quantale中的理想和理想余核分别是主理想和简单理想余核。

In recent years, the theory of infinite dimensional simple Lie algebra has become an important branch in Lie theory.

近年来无限维单李代数的结构理论以及表示理论已经成为李代数研究中的重要分支，无限维单李代数的构造，自同构群的确定，同构分类，二上同调群的计。。。

The Jacobin matrix of the multi-body system dynamics was studied based on the spatial operator algebra theory,and the realization of the Jacobin matrix procedure was built in the environment of Matahematic5.2 software.The high effective stepping method can be used to compute velocity and static force,and has a simple math expression.

应用空间算子代数理论，在通用计算机符号演算软件Mathematic5.2的环境下，对多体系统动力学雅可比矩阵进行设计与实现，主要用于速度和静力的高效递推算法，用空间算子代数理论求出雅可比矩阵简洁形式，具有编程效率高、直观等特征。

Theorem B: Both so *(2 n ) and g * are not simple Lie algebra.

定理B so *(2 n )和g *都不是单李代数。

In section 1 and section 2, I present a simple overview of the bosonic realization of the SU(1,1) Lie algebra, single-mode SU(1,1) coherent states and their main non-classical properties.

第一部分和第二部分，对SU(1，1)李代数的玻色子算符实现形式，单模SU(1，1)相干态及其主要的非经典特性进行了简单的回顾。

This article introduced the use of matrix operation of linear algebra in the cut-order planning through this method which simple and easy to understand .

这里我们提供一种方便易行的裁剪计划制定方法——矩阵法，这种方法不但可以让不了解线性代数的技术人员快速准确的实现裁剪分床，也可以通过计算机编程，实现裁剪计划制定的程序化。

One reason is that the model is an algebra method and it is based on the theory of minimal element. It can give more credible proof. Another reason is that the model tries to prove security of protocols, rather than check them. Thirdly, the model is simple and easy to use, and proof can be finished by manual. Moreover, graphic description makes its proof more comprehensible. Fourthly, there is much research work related to the model, which gives me a good springboard.

首先，该模型是一种代数方法，以极小元等理论为基础，可以给出可信度较高的证明；其次，该模型不是验证协议，而是试图证明协议的安全性；第三，该模型简单、易用，可以手工的方式完成证明，而且图形表示使其证明更加直观；第四，关于该模型有许多相关的研究工作，这为进一步工作打下了良好的基础。

Simple and quadratic equation and some skills of operation in Algebra may come from Babylon.

《代数学》中所讨论的一次和二次方程以及某些运算技巧可能源于巴比伦。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。