查询词典 null algebra

Constructing new Hopf algebras from known Hopf algebras is one of the most important problems in Hopf algebra theory .

利用已知的Hopf代数构造新的Hopf代数是Hopf理论中的重要研究课题。

The study of it has been a hot topic in the field of numerical algebra in recent years. Actually, it is widely used in many fields such as structural design, system identification, automatics control theory, vibration theory.

它是近年来数值代数领域中研究的重要课题之一，在结构设计，系统识别，自动控制理论，振动理论等领域有着广泛的应用。

The sums may be from any one or combination of the following topics: pre-algebra, algebraic expressions, algebraic expansion (multiplication of binomials and trinomials), algebraic factors, simple equations,simultaneous equations and quadratic equations.

数学试题可能来自于下列主题之一或者其组合：学龄前数学，数学表达式，代数表达式，代数因数，简单等式，联立方程式和二次方程式。

Newton remarked that "algebra is the analysis of the bunglers in mathematics."

牛顿评述道：&代数是数学中的笨拙者的分析。&

In this system, the lattic structure is different from Boolean algebra, the implication operator → is just the Kleene Dienes operator R KD .

研究赋值格为非线性序，其格结构不同于Boole代数，而蕴涵算子→取Kleen－Dienes算子RKD的一种新的6值逻辑系统K16的语义理论，得到若干结果

Therefore,a fast algorithm of NMF is presented.By some algebra formulation,the matrix to be factorized is changed into a low-dimension matrix which is a diagonal matrix whose dimension is related to the number of samples.Moreover the feature extraction for one sample only needs to calculate the inner product.

该算法通过代数变换，把对原高维矩阵的非负分解转换成非负的低维矩阵的非负分解，其求解过程只需要对一个阶数等于样本数的对角矩阵进行非负矩阵分解，同时提取某样本特征时只需要计算该样本与所有训练样本的内积。

A matrix method and a technique lased on minimax algebra are applied respectively to establish the discrete event state equation and the discrete event time-series equation which will benefit the performance evaluation of discrete event dynamic systems.

根据系统的网络表示，应用矩阵方法和极大代数方法分别建立了系统的离散事件状态方程和离散事件时序方程，为从现代控制理论的观点和体系来研究离散事件动态系统打下了基础。

Linear algebra;teaching content;teaching method

中文关键词：线性代数；教学内容；教学方法

Security protocols are used to provide secure communications over open network,which are essentially concurrent programs in distributed systems,and can be described as a parallel composition system of multiple role-processes by process algebra.

安全协议用于实现开放互连网络的安全通讯，它本质上是分布式并发程序，使用进程代数可以将其描述为角色进程的并发合成系统。

Firstly, by using Clifford algebra, we get the general expression of n-dimensional hyperbolic transformations.

首先，我们以Clifford代数为工具，得到了n维空间中双曲变换的一般表达式。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。