代数化

Regularity is an important algebraic property of parametric curve and surface, which depends on the parameterization of parametric curve and surface.

正则性是参数曲线曲面的重要代数性质，是由参数曲线曲面的参数化决定的。

The algorithm of segment rational quadratic B-spline interpolation to algebraic curve is discussed in details.

重点讨论了代数曲线参数化的分段有理二次B样条插值算法。

An implicit Curve reconstruction method is proposed which represents the curve with all algebraic tensor-product B-spline,and minimizes the tension ofthe B-spline and the approximate geometric distance between the curve and the point set.

提出一种以代数张量积样条曲线作为几何表示形式，基于近似几何误差和薄板能量极小化的隐式重构模型。

And the methods how to combine them with the discretized algebraic eigenvalue equation for generalized Rayleigh and Love waves are also given.

推导了这三种边界条件的公式，并且给出了它们进入离散化后的Rayleigh波与Love波的代数特征方程方法。

The procedure of transform the parametric form into algebraic form is calledimplicitization.

将参数形式的曲线曲面转化为代数形式的曲线曲面的过程称为隐式化。

Besides, through the method of concatenation, the upper bound of algebraic immunity and the form of the annihilators of any generalized boolean function were also determined.

此外，还通过级联函数的方法确定了任意广义布尔函数的代数免疫的上界和零化子的形式。

Maximum Clique Problem; Information Theory Method; Homotopy Method; Entropy Regularization; D-function Regularization

基础科学，数学，代数、数论、组合理论最大团问题；信息论方法；同伦方法；熵正则化； D函数正则化

System is used VB6.0, MATLAB6.5 and MATLAB and Visual Basic OLE interface methods of production, use VB Visual Interface, the real object-oriented, event-driven approach using the structure of high-level programming language, the perfect tool Integrated production and friendly interface and features of MATLAB numerical terms, such as a strong graphic image processing function for the core to achieve the limit, derivative, differential, integral and indefinite integral, vector algebra and analytic geometry of space for the function will be Two aspects of the unique advantages of combining the strong points, to shorten the development cycle and reduce programming difficulty, the current rapidly changing information age is of high practical value.

在线等汉-英翻译，网上在线翻译的别回！！！！！系统是采用VB6.0、MATLAB6.5 和MATLAB与Visual Basic接口OLE方法制作的，利用VB界面的可视化、真正面向对象、采用事件驱动方式的结构化高级程序设计语言、工具的完美集成和友好性特点制作界面和MATLAB的数值计算、图形图像等强大的处理功能为内核来实现函数极限、导数、微分、定积分和不定积分、空间解析几何和向量代数的求解功能；将两方面具有的独特优势结合起来，取长补短，以缩短开发周期，降低编程难度，这对当前日新月异的信息时代是具有很高的实用价值。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

In this doctorial dissertation,we study the stabilization,strong stabilization and estimation problem in the framework of nest algebras in Hilbert space.

本文我们是在套代数框架下，研究Hilbert空间中线性系统的稳定化、强稳定化以及一般估计问题。

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