查询词典 involutory algebra

If 〓 is a restricted Lie algebra and 〓-module 〓 isrestricted,then L is a restricted Lie superlagebra.

如果〓是限制李代数，并且〓模〓是限制的，则L是限制李超代数。

Several elementary properties of restricted Lie color algebra are collated.

又分别讨论了φ_p-基本和φ-基本的限制李color代数，并给出了它们的几个等价条件。

We then obtain some elementary results of the Frattini subalgebra and the Frattini p-subalgebra of a restricted Lie color algebra, sh...

给出了p-基本限制李color代数和E-p-限制李color代数的概念，并得到了一系列的结论。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

In vector algebra, addition are defined to add coordinates entries respectively,and this system of operation is the direct sum Z Z={|a,b are integers} of integers ring Z,the operations are+=,=.

向量代数加法就是这样按照分量加法在运算，再加上按照分量的乘法，这个运算体系就是整数环Z的直和Z Z={|a，b为整数}，其上的运算就是+=，=。

Mr Romney's fans are typically people who did not flunk algebra.

罗姆尼先生的支持者们属于典型的不会代数不及格的人。

Divide the whole region D into finite units and corresponding link points may be obtained. Constructing the equation of variation calculation about every element leads to the finite number of equations. Further more, algebra equation group for general synthesis are gained by adding these finite number of equations, that is,{T}={P} where is the coefficient matrix of the equation group, or say the temperature rigidity matrix,{T} is the row vector of unknown temperature and {P} is the row vector of the terms on the right side of the equation.

然后将整体区域D划分成有限个单元并得到相应的有限个节点，从而可以得到关于每个单元的变分计算方程，将这有限个方程相加就得到了总体合成的代数方程组，即{T}={P}，其中为方程组的系数矩阵，也称温度刚度矩阵，{T}为未知温度值的列向量，{P}为等式右端项组成的列向量。

The discussion of the fourth kind of quadratic equation , the use of "rule of three", the calculation of number r and some terms Algebra can be found in Indian classics introduced to Arab and some of these mathematical knowledge maybe comes from China (such as "rule of three").

花拉子米对第四种二次方程的讨论，使用的"三率法"，对圆周率的计算以及某些术语可以在早期传入阿拉伯的印度典籍中找到出处，而在这些数学知识中有一些可能是远源于中国的。

The definition of work suggests a third process of vector algebra, namely, scalar multiplication of two vectors

功的定义用到矢量代数的第三种运算，即两个矢量的标积。

From the above theorem,（1） compositional invariant security properties and constructive security properties are proved to exist, and （2） security properties are degraded under operators of process algebra, which is known as "bucket principle", i.e, a composed system cannot be securer than the weakest link of the system.

根据这一结果证明了复合不变性质和可构造安全性质在安全性质集上的存在性，并且在安全性质集合上证明了安全性质的"木桶原理"，即复合系统的整体安全性不强于系统中最弱的部分。

However it can often be frust ating for a child when people are unable to pronounce their name.

但它往往可以令人沮丧的一个孩子当人们无法断言他们的名字。

All these compounds were obtained from this genus for the first time. Compound, 4-cumylphenol, was a new nature product.

所有化合物均为首次从本属海藻中分离得到，其中4cumylphenol为新天然产物。