| 1. | Existence of solutions for a class of algebraic systems
一类代数方程系统解的存在性 |
| 2. | Ter model and its algebraic system are one of our creative work too
Ter模型及其代数系统的提出也是本论文工作的创新之一。 |
| 3. | This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations
本文研究了解决大型稀疏对称正定线性方程组的一类预条件共轭梯度法。 |
| 4. | Lattice implication algebra is an algebraic system combinating lattice with implication algebra . it is first defined by professor xu yang in order to study lattice - valued logic
格蕴涵代数是徐扬教授为研究格值逻辑把格与蕴涵代数相结合提出的一个代数系统。 |
| 5. | The paper summarized the common linear and nonlinear mathematics model in the research of mechanism science , focusing on the comment on the methods to solve nonlinear algebraic system of equations
文中概述了机构学研究中常见的线性和非线性数学模型，着重述评了非线性代数方程组的各种解法。 |
| 6. | The standard expansions of an arbitrary logic function in these complete sets from the rm , crm are deduced , and two examples are proposed to discuss the relation between the expansions in boolean subtraction - xor , division - coincidence algebraic systems and the expansions in and - or - not algebraic system
举例说明了与-或-非代数系统中规范中规范展开式与布尔减-异或、布尔除-符合代数系统中的规范展开式之间的转换。 |
| 7. | Based on the course of " abstract algebra " , this paper aims to discuss how to develop students ' mathematical ability and interests and how to implement the education for all - round development from the following four sides : " establishing algebraic system , studying algebraic system , differentiating algebraic system and using algebraic system "
摘要从“抽象代数”课程的角度，围绕“建立代数体系、研究代数体系、区分代数体系、应用代数体系”四个方面，讨论教学过程中如何培养学生的数学能力和数学素质，如何实施素质教育。 |
| 8. | The mostly conclusion of this part is as follows , on the conditon of travelling wave , the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation , kaup - kupershmidt equation , the fifth order kdv equation , fisher - kolmogorov equation , on the help of the computer algebraic system ( maple ) , are explicitly established by making use of the hyperbolic function method . this part is maken up of three sections
本部分的主要结论如下，利用双曲函数展开法，在行波条件下，对sawada - kotera方程， kaup - kupershmidt方程，五阶kdv方程， fisher - kolmogorov方程，等几类非线性波动方程求解，将其孤立波表示为双曲函数的多项式，从而将非线性波方程的求解问题转化为非线性代数方程组的求解问题，并借助于计算机代数系统求解非线性代数方程组，最终获得了这些非线性波动方程的若干精确孤立波解。 |
| 9. | In chapter 3 , the degree - preserving polynomials on r ~ ( 2 ) are discussed . with aid of computer algebraic systems , conditions are given to classify polynomials which are degree - preserved . in chapter 4 , the dynamical system in continued fractions , modeled by iteration , and related results on periodicity and chaos are summarized
在本文的第四章中综述了连分数中的动力系统的一些成果，连分数通过迭代可化为一个动力系统模型，通过对该模型的研究，可以进一步认识迭代的复杂性，尤其是蕴藏在其中的周期行为和混沌。 |
| 10. | The mathematics - mechanization method is applied the field of differential equations . many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given , and implemented in a computer algebraic system , such as the hyperbolic tangent function method and the hyperbolic function method etc . exact solitary wave solutions of a great deal of nonlinear equations are gained
将机械化数学方法应用于偏微分方程领域，建立了构造一类非线性波方程的精确孤立波解的许多算法，如，双曲正切函数展开法，双曲函数方法等，并在计算机数学系统上加以实现，因而推导出了一批非线性波方程的精确孤立波解。 |
