查询词典 simple algebra

Our first main result is (see §9.1) 9.1. Theorem. Let a =∈〓.χ={i =｜〓=〓}, where 〓 is the unique longestelement in Weyl group of complex semi-simple Lie algebra for type 〓. Thencorresponding to 62 equivalence classes in χ for certain equivalent relation ～,we have 62 monomial elements in canonical basis, each of them correspondsto a region which consists of six independent inequalities.

我们的第一个主要结果是群的唯一最长元素，那么与χ的关于某种等价关系～的62个等价类对应，在典范基中有62个单项式元素，每个单项式元素对应一个由六个独立不等式构成的区域。

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。。。

In the second chapter, modefied Taylor\'s expansion method is studied for solving Fredholm-Volterra integral equations, several illustative examples are given to show the efficiency of the proposed method. More over, by simple algebra, the modified Taylor\'s expansion can also be used to solve integral equations with weakly singular kernel, and the corresponding accuracy is dramatically promoted.

第二章重点讨论了应用Taylor展开方法解Fredholm-Volterra积分方程，通过数值例子，表明了该方法的简单有效性，特别应用于具有弱奇异核积分方程获得了更高精度的解。

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。

Anna: No, I've got a hangover.

不是，我昨晚宿醉了。

We head into the mountains in Su's new Land Cruiser, stop for lunch at a scenic restaurant and then hang around drinking beer and eating fruit as two of his employees attempt to lure the birds with a tape recording of the fowl's mating call.

我们坐上苏的巡逻车向山顶出发，在一家风景优美的餐馆吃了中饭。然后我们喝着啤酒吃着水果四处逛。