查询词典 algebraic algebra

PartⅡ,Applying the developed and extended direct algebraic methods that presented in recent years and based on the 2+1 dimensional variable separation solutions,abundant Jacobi elliptic function doubly periodic waves and periodic propagating wave patterns for many 2+1 dimensional nonlinear wave models are obtained,and in long wave limit solitary waves are derived as well.

第二部分，本文拓展和推广(来源：a2AB7aC论文网www.abclunwen.com)了新近发展的几种典型的直接代数方法和基于分离变量解的间接方法，获得多个2+1维非线性波动模型丰富的雅克比椭圆函数双周期波解和周期传播波模式，并得到长波极限情形下存在的非线性孤立波。

In the paper, an algebraic reconstruction algorithm based on magnetic resonance electrical impedance tomography was presented for 3-dimensional (3D) electrical impedance tomography, especially to image the 3D continuous impedance distribution of the head tissues.

文章给出了一种基于核磁共振技术的三维阻抗成像重构算法，并将该方法应用于人体头部组织电导率分布重构上。

Elementary Algebraic Geometry Student Mathematical Library, Vol.

中文参考译名：初等代数几何（学生数学图书馆，卷。20）（学生数学图书馆，五20

In chapter 2, basic knowledge of the rough set theory, such as indiscernibilityrelation, elementary set, approximate space, upper approximation, lower approximation, negative region, boundary region, rough set, etc., and algebraic properties of rough set are introduced. At the same time, the feature of the rough, set theory is also introduced.

第二章介绍了粗糙集理论基本知识，如不可分辨关系、基本集、近似空间、上近似、下近似、负域、边界域、粗糙集等概念，以及粗糙集的代数性质，同时还介绍了粗糙集理论的特点。

We apply the method to Boussinesq equation and combine Wu algebraic elimination method, many new exact solutions are obtained.

把它应用到Boussinesq方程上去并和吴方法结合在一起获得了新的精确解。

By using the Groebner bases theory and elimination theorem, we constructed a new algorithm of the algebraic attacks on nonlinear combiners with memory based on the previous works, and also analyzed its computation complexity in detail.

在已有工作的基础上，利用Groebner基理论及消元定理，构造了一种新的对带记忆非线性组合生成器的代数攻击算法，并对算法的计算复杂度进行了分析。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

Using this the problem can be summarized into scattering of SH-wave around an elliptic cavity in full space. Finally, the solving can be reduced to the solution of a series of algebraic equations.

应用这一波函数，将半空间中的问题转化为求解一个全空间中椭圆形孔洞的散射问题，最终将问题归结对一组无穷代数方程组的求解。

Knauer in 1990 first defined the endomorphism spectrum and the endomorphism type of a graph to study the algebraic structure which is put on a graph by this various endomorphisms.

德国数学家Knauer于1990年在文献[1]中首次提出了自同态谱和自同态型的概念，目的是通过图的各种不同的自同态来研究图的代数结构。

Each new kind of number has presented itself as the root of an equation that we were supposed to solve, and with the introduction of each number the power and generality of our algebraic method was increased.

每一种新的数，都是我们想解答的方程的根的代表。而随着每一种新的数的出现，我们的代数的功能和适用性都得到了增强。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。