单代数

Then,by using the algebraic method which was introduced by Yang L.and Zhang J.Z.,and the generalized isometric embedding theory,the generalized concept of metric addition is brought forward,a geometric inequality about the generalized metric addition is given,and the main result of Ya...

然后利用杨路和张景中引进的代数方法，应用广义等距嵌入定理，提出了关于两组两个完全同向的n维单形"广义度量加"的概念，并且证明了涉及"广义度量加"的一个几何不等式，它推广了杨路和张景中关于Alexander猜想的结果。

As well as we introduce some property of Killing form. Finally, we use Killing form to decide if YD-Lie algebras are semisimple.

则称为L的Killing型，以及给出了Killing型的性质，最后用Killing型去判断半单点YD-李代数。

In particular the semi-linear transformation of a single, the study of the Lie algebra structure, and the existence of classification play an important role.

特别是半单的线性变换，对研究李代数的结构、存在与分类，起到重要作用。

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。

Polysaccharides were extracted from different generations of mycelia and the contents, monosaccharide components and molecular weight were analyzed.

从不同代数的菌丝体中提取多糖，并测定多糖含量、分子量分布范围及单糖组成。

Adopting the conformal mapping or rotation axis etc complex methods which areoften used to treat with the hole or cavity problem,a two-dimensional cavity ofeither simply or multiply connected region is projected into the interior of acircle or an annulus.As well as the global coordinate system is turned into thelocal coordinate system.

采用处理孔口问题最常用的映射函数和移轴等复变函数方法，把复杂的单连通区域和某些复连通区域型二维孔洞转化为简单的单位圆内区域或圆环区域，把整体坐标转为局域曲线坐标，而，最终把问题简化归结为一组无穷代数方程组的求解问题。

In chaper 2, first we prove that the simple associative algebras A are noncommutative domains.

在本文的第二章，我们首先证明单结合代数A为非交换整环。

In Chapter 2, starting from a generalization of Hensel's Lemma to non-commutative case, we introduce the Brauer characters and the generalized decomposition numbers, and construct a kind of maximal semisimple algebras; then, similarly to Puig's methods, we prove Brauer's Second Main Theorem over arbitrary fields; applying it to blocks with nilpotent coefficient extensions, a formula on characters of such blocks is given; the formula of characters of nilpotent blocks is just an easy consequence of the fomula.

在第二章中，我们将Hensel的引理推广到非交换的情况，以此为起点，定义了Brauer特征标和广义分解数，构造了一类极大的半单的代数，类似于Puig的方法，给出了任意域上Brauer的第二主要定理；作为该定理的应用，我们给出了具有幂零系数扩张的块的特征标公式，幂零块的特征标公式只是它的一个简单的推论。

Consequently it will advance digital trunked communication,especiallyTETRA,in China.

该算法在单片DSP芯片上实时实现为TETRA手机的国产化奠定了基础，也将会极大地降低TETRA手机的制造成本和价格，从而有利于推动以TETM为代表的新一代数字集群通信在我国的发展。

Based on ordered gray-scale erosion,an optical one-rail one-channel cellular arrayhas been suggested.

在灰度腐蚀形态学象代数的基础上，提出了一种光学单轨单通道的细胞逻辑阵列的实现方案。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷