函数代数

Introduction, Reviews and Concepts of Functions, Differentiation, Vector Algebra, Vector differetiation, Vector Integral, Orthogonal Curvilinear Coordinates.

课程介绍及授课计划、函数观念及复习、微分、向量代数、向量微分、矢量积分、正交曲线坐标、微分方程式。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习，内容包括线性代数，矩阵运算，特徵值问题，向量的微分与积分，一阶线性微分方程组，傅力叶级数和正交函数，傅力叶转换，并将对椭圆，抛物线，双曲线型式的偏微分方程式作概略介绍。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

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。

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。

The paper proves that the search process of the non-crossover genetic algorithm is an ergodic homogeneous Markov Chain. The proof of global convergence of NCGA is presented is this paper. The upper bound of convergence speed of the NCGA is the same as the CGA. The possibly of retain the promising genes of NCGA is larger than CGA.

对于本人可以找到的32种典型的非线性优化测试函数，应用无交叉算子遗传算法，与基于经典遗传算法相比，在相同的进化代数的条件下，NCGA同样取得了略优的收敛速度，在相同CPU计算时间上NCGA也取得略优的结果； 3 提出了复合算子遗传算法。

Therefore And,exclusive OR algebra system research in logic function realm are getting the more and more extensive application.

因此与、异或代数系统在逻辑函数的研究领域正在得到越来越广泛的应用。

In this paper, mathematical analysis, linear algebra is more material as the foundation, on the basis of previous studies, will solve a number of the function extreme value methods, such as distribution method, elimination method, the discriminant method, mean inequality method, the geometric method, vector method and derivative method, and so to summarize, and on this basis is given for each method the corresponding examples to illustrate for readers to reference and understanding.

本文以数学分析、线性代数更教材为基础，在前人研究的基础上，将求解函数极值的若干方法，如配方法、消元法、判别式法、均值不等式法、几何法、向量法和导数法等等进行归纳总结，并在此基础上针对每一种方法给出相应的例子加以说明，以便读者参考和理解。

Moreover,using Ito differential formul a to the constructed Lyapunov function along solutions of lto stochastic differential systems,Lyapunov method is adopted to set up the fundamental theory of dissipativity in the module corresponding to the theory on the dissipativity of deterministic ordinary dif- fere.

提出了有关Ito型随机微分系统耗散性理论的新概念：按模耗散、按模等度耗散和按模一致耗散，并利用Lyapunov方法，借助于Ito 微分公式沿着Ito型随机微分系统的解对所构造的Lyapunov函数求导数，给出了Ito型随机微分系统有关按模耗散理论的一些代数判据，获得了与确定性常微分系统耗散性理论相对应的结论，最后的算例证明了该方法的有效性和可行性。

The quadratic function is a middle school algebra important content, has the rich connotation and the extension.

中文摘要：二次函数是中学代数的一个重要内容，具有丰富的内涵和外延。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。