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We give also a complete description on non-solvable symmetric self-dual Lie algebrasusing the language of double extension.

我们也用双扩张的语言给出了非可解对称自对偶李代数的一个完整刻划。

Using the concept of regular elements,we obtain some results on the classificationof dipolarizations in general symmetric self-dual Lie algebras.

在第六节中，我们把半单李代数的特征元的概念推广到任意带有双极化的对称自对偶李代数上〓用正则元的概念，得到了一般对称自对偶李代数上双极化的一些分类结果。

Part II of this paper studies the structure of symmetric self-dual Lie algebras.

假设李代数g带有一个与Killing具有相同性质的型B，即具有双线性性，非退化性，对称性和不变性，由于这样的李代数g的伴随表示与它的余伴随表示等价，我们称李代数g为对称自对偶李代数，称型B为它上的一个不变数积。

The main advantages of the methods are easy programmability and possible detecting other particular logic functions such as symmetric function, self-negative function and self-dual function simultaneously.

该方法的主要优点是可以同时检测其他特殊逻辑函数以及易于计算机编程操作。

Adopting a new self-consistent method, we calculate the energy levels and wave functions of symmetric double-square-quantum-well structures where the electronic density and the depletion lengths in the modulation-doped regions are determined self-consistently according to the properties of the materials and the growth conditions.

采用一种新的自洽方法计算了对称双量子阱的能级和波函数，其中电子密度、调制掺杂区电离层的厚度等参数是根据材料的性质、生长条件等自洽确定的。

A conclusion that the symmetric product of a self-conjugate matrix is still a self-conjugate matrix was obtained.

给出实四元数体上矩阵对称积的定义，得到了自共轭矩阵的对称积仍是自共轭矩阵的结论。

In Chapter 3, we discuss the self-adjoint boundary-value problems for products of m differential operators generated by the same symmetric differential expression of order n defined on a, b

第三章 讨论了m个由同一n阶对称微分算式生成的赋予某种边界条件的微分算子乘积自伴边值问题，结合常微分算子自伴扩张的一般构造理论，分别给出了两个四阶微分算子、两个n阶微分算子、m个n阶微分算子乘积自伴边条件的解析刻划，得到了乘积微分算子是自伴的充分必要条件及与乘积算子自伴性有关的一些有益结果。

During vacation, he saw Wang's QQ Log Lane wrote: Today, I have devised two fruit stalls, are the center symmetric, the middle is the bow and the sun.

放假期间，看见泓的QQ日志里写到：今天，我设计了两个水果拼盘，都是中心对称式，中间是蝴蝶结和太阳。

Through our studies, we concluded that the mesoscale disturbance spreading along the tangential and radial direction respectively has the characters of transverse wave and symmetric inertia-gravitational wave. Nevertheless, the mesoscale disturbance in the area of super-gradient current nearby the eye-wall of Typhoon has the features of the mixed vortex Rossby-inertia-gravitational wave.

研究认为切向和径向传播的中尺度扰动分别具有横波和对称型重力惯性波性质，但在台风眼壁附近的超梯度流区的中尺度扰动具有混合涡旋Rossby波－重力惯性波特征。

When two communicants and an adversary obtain correlated information through independent binary symmetric channels from a random source, and the adversary's channel is noisier than those of communicants, an authentication scheme which uses the correlated information between the two communicants is proposed based on the coding theory to make possible information theoretic secret key agreement against active attacks.

在无条件安全密钥协商中，假定通信双方通过相互独立的无记忆二元对称信道来接收二元对称信源所传送的信息作为初始信息，在这种条件下，本文提出了一种利用他们之间的初始相关信息对公共信道上的消息进行认证的具体方案，从而使得无条件安全密钥协商具有抗主动攻击的能力。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。