代数

Lattice implication algebra is a kind of algebraic structure combined with lattice and implication algebra. It is an important method in the research of lattice-valued logic.

格蕴涵代数是将格与蕴涵代数结合起来的一种代数结构，是研究格值逻辑系统及其性质的一个重要途径。

As advantage of this method, at the same time of diagonalization, one can know the algebraic structure in the Hamiltonian and get the eigenstates that are revealed to be an algebraic coherent state as well as some other possible information of the corresponding physical system.

这种方法的优点是，在用代数法将哈密顿量对角化的同时，不但得出了该系统哈密顿量的代数形式，并且可以得知对应的本征态与代数相干态的关系及对应的物理系统的其他物理信息。

And algebraic decoding based on the algebraic structure, and probability decoding includes sequence decoding and Viterbi decoder.

卷积码的译码算法可以分为代数译码和概率译码，代数译码基于代数结构，概率译码有序列译码与维特比译码。

In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念，即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内，并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

In conclusion, all our results further enrich, develop and perfect the theoretical system of the algebraic multigrid method.

代数多重网格方法是根据一般多重网格方法的原理建立起来的一种自动求解线性代数方程组的快速算法，它采用分层思想通过一种纯代数的多水平方法处理矩阵方程，特别是二维或三维大规模无结构方程组。

As thezeros of multivariate splines, the piecewise algebraic variety is a generalization of theclassical algebraic variety.

分片代数簇作为多元样条的公共零点集合，是经典代数簇的推广，它不仅和许多实际问题如多元样条插值，CAD和CAGD等有关，而且还为研究经典代数几何提供理论依据。

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field.

本课程包括了代数闭域上代数簇的基本概念和结果，同时也讨论了复代数簇和复解析簇之间的关系。

In Part One we discuss the conditions for the weak antipode to be an involution and study the actions of weak Hopf algebras.

第一部分讨论了弱Hopf代数上的弱对极是正合的各种条件，研究了弱Hopf代数在代数上的作用理论。

If one of the following conditions is satisfied , then the trivial extension T of H is not a bialgebra .(1) H is not a Hopf algebra ,(2) H is a Hopf algebra , but the antipode of H is not the identity map .(3) char can not divide 2dim H .

若下述三个条件之一成立，则T不是双代数：(1) H不是Hopf代数，(2) H是Hopf代数，但其反极元S不是恒等映射，(3) char不能整除2dim H。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。