查询词典 simple algebra

Proceed from general conclusion of algebra on the finite field, study this special algebra system of Elliptic Curve on the finite field, Discuss that sets up several theories of the Public Key Cryptosystems and the problems of implementation on it.

从有限域上的代数的一般结论出发，研究有限域上的椭圆曲线这一特殊的代数系统，讨论在其上建立公钥密码体制的若干理论和实现问题。

In [3], Kassel gaveHopf *-algebra structures on GL_q(2) and SL_q (2), and also described those on thequantum enveloping algebra U_qsl(2 in detail.

Kassel在[3]中给出了GL_q(2)和SL_q(2)上的Hopf *-代数结构，并且对量子化包络代数U_q sl

Quantum mechanical control; symmetry; Lie algebra; universal enveloping algebra; representation theory

清华大学；吴热冰量子力学控制；对称性；李代数；泛包络代数；表示理论

Since the High-Lying Vibrational excited levels and dissociate behavior of gas diatomic molecules: H2, O2, N2 and CO are very important in actual studies and applications, using the algebra method and the algebra energy method to obtained full vibrational energy spectra {E} and molecular dissociation energies are base on limited experiment energy level {E} in this paper. The study result has provided the important high vibrational excited state energy level and the reliable dissociation energy data for the research partial dissociating gas physics and the chemical property.

鉴于气体双原子分子H2、O2、N2和CO的高振动激发态能级和离解行为在实际研究中的重要性，本文应用代数方法和代数能量方法，以部分气体双原子分子有限的实验能级［E］为基础，获得了H2-X1Σ、O2-A^3Σ、O2-c1Σ、N2-X1Σ和CO-X^1Σ共5个电子态的完全振动能谱｛E｝及其分子的离解能，为研究部分离解气体的物理和化学性质提供了重要的高振动激发态能级和可幸的离解能数据。

As reduction cases, the (2+1)-dimensional multi-component AKNS hierarchy and KN hierarchy are worked out respectively; at last, a loop algebra with 3 dimensions is constructed by using of some properties of exterior algebra, which is devoted to establishing many isospectral problems.

最后利用外积的性质构造了一个3 维的loop代数，由此可设计出许多新的等谱问题，作为应用，本文得到了一个类似的多分量的Boite-Pempinelli-Tu族。

Thirdly, a new loop algebra x with 3 M dimensions is constructed by use of some properties of exterior algebra, which is devoted to establishing a new isospectral problem. As its application, a multi-component integrable system similar to the TC hierarchy is obtained, whose reduction case presents a multi-component KdV equation.

由此可设计出许多新的等谱问题，作为应用，本文得到了一个多分量的TC族，其可约化为多分量的KdV方程。

In this research,the ArcGIS is thought to perform data resampling before map algebra.IDL is used to realize the function of map algebra here.

研究认为ArcGIS进行地图代数计算效率比较低的主要原因在于它在计算时首先对数据进行重采样。

With proving the isomorph between the function matrix algebra systems and the Boolean algebra s disjunction-conjunction systems,a method of extending the function matrix is proposed,and the expanding theorem of the extended function matrix is proven.

提出了功能矩阵的概念，在证明功能矩阵的代数系统与布尔代数析取合取代数系统同构的基础上，对功能矩阵进行扩展，并证明了扩展功能矩阵的展开定理；利用扩展功能矩阵逐步展开与约简，实现了功能的求解算法。

The proof of fundamental theorem of algebra involves much algebra knowledge which is difficult to understand.

代数学基本定理的经典证明用到较多的代数知识，且难以理解，文章探讨用数学分析的方法予以证明。

The weighted Moore-Penrose inverse is a special generalized inverse which is an important basic tool in many branches of mathematics and has extensive applications in other fields such as economics, information processing, automatic control, etc. Recently, the study of generalized inverse of matrices associating with more general algebra such as ring, semiring and so on generalize the theory and methods of generalized inverse deeply and characterize the structure of algebra as well.

加权Moore-Penrose逆是一种特殊的广义逆，它不仅是许多数学分支的基本工具，而且在经济学、信息处理、自动控制等其他领域有着广泛的应用，近年来，结合环、半环等更一般的代数系统的矩阵广义逆的研究，不仅将广义逆的理论和方法作了更加深入的推广，而且也成了刻画代数结构的有力工具。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。