查询词典 algebra

The research of matrixes is continuously an important aspect of the quaternion division algebra. The purpose of this paper is to discuss the property of skew self-conjugate matrix. The definition of skew self-conjugate matrix on real quaternion division algebra is given.

四元数体上矩阵的研究是四元数代数理论中的一个重要方面，本文研究实四元数体上斜自共轭矩阵的性质，给出实四元数体上斜自共轭矩阵的定义。

You may only use elementary geometry, such as the fact that the angles of a triangle add up to 180 degrees and the basic congruent triangle rules (side-angle-side, etc.).

这门课在西方的对应一般叫Linear Algebra，就是苏联人喜欢用高等这个词，你可以在外国教材中心里面找到一本Kurosh的 Higher Algebra。

This paper discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.

本论文主要讨论了矩阵的初等变换在高等代数线性代数以及初等数论中的广泛运用。

This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.

本论文主要论述了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

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 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