Least-squares function-valued Padé-type approximation and its application in solving integral equations

To solve the Fredholm integral equations of the second kind, a new notion of the least-squares orthogonal polyno- mials of function-valued Pade-type approximation is introduced. On the basis of the error formula, the least-squares function： valued Pad＆type approximation is constructed. Their existence and uniqueness are studied. A recursive computation formula of the least-squares function-valued Padetype approximation is given. In the end, an example is given to show that the method is effective and stable.     

Least-squares function-valued Padé-type approximation and its application in solving integral equations

To solve the Fredholm integral equations of the second kind,a new notion of the least-squares orthogonal polyno-mials of function-valued Padé-type approximation is introduced.On the basis of the error formula,the least-squares function-valued Padé-type approximation is constructed.Their existence and uniqueness are studied.A recursive computation formula of the least-squares function-valued Padé-type approximation is given.In the end,an example is given to show that the method is effiective and stable.     

Logarithms(对数)

(英文)In the relationa~x=Nwe can pose the problem of seeking any one of the threenumbers a,N,and x on the basis of the other two numbers.Ifa and x are given,then N is found by raising the number a tothe power x.If N and x are given,a is found by taking the     

英语名字

The order of Chinese name is the family name and the given name. But English people＇s name order is different--their family names come last.     

Two Sides of American Exceptionalism

This paper concentrates on American exceptionalism.It is divided into five parts.Firstly,a brief introduction about the paper is given.Secondly,the definition of American exceptionalism and a general overview of it are given.Thirdly,the good side of American exceptionalism that makes the United States superior to other countries is clarified.Fourthly,the bad side of American exceptionalism is discussed.Finally,a concise conclusion of American exceptionalism is made.     

KINEMATIC MINIMUM-TIME TRAJECTORY PLANNING FOR A MANIPULATOR

By using a phase-plane analysis method,the minimum-time trajectory plan-ning problem of a manipulator moving along a given geometric path subject to the con-straints of joint velocities and accelerations is solved in this paper.The simulation resultfor the first three joints of PUMA-560 is given.     

一矩阵方程组的反射解

We derive necessary and sufficient conditions for the existence and an expression of the （anti）reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D. The explicit solutions of the approximation problem min x∈Ф ｜｜X - E｜｜F was given, where E is a given complex matrix and Ф is the set of all reflexive （or antireflexive） solutions of the system mentioned above, and ｜｜·｜｜ is the Frobenius norm. Furthermore, it was pointed that some results in a recent paper are special cases of this paper.     

Solitary wave solution for Beji-type Boussinesq equation

A solitary wave solution for Beji-type Boussinesq equation in one-dimension and constant depth is given analytically.     

Wavelet network solution for the inverse kinematics problem in robotic manipulator

INTRODUCTION The inverse kinematics problem (IKP) for a ro- botic manipulator involves obtaining the required manipulator joint values for a given desired end-point position and orientation. It is usually complex due to lack of a unique solution and closed-form direct ex- pression for the inverse kinematics mapping. The forward kinematics problem (FKP) is to find the po- sition and orientation of the end-effector based on given joint values which can be easily obtained by analyzing the …     

On the Association and Collocation of Vocabulary

Vocabulary has always been a big concern for the English learners.In order to use language accurately and enlarge vo cabulary size,learning the association and collocation of vocabulary is of great importance.Besides,the definition of each type is presented and proper examples are given in the paper to deepen your understanding.     

Euler数与集合的纯偶排列数

引入集合的纯偶排列数,给出了纯偶排列数的一些性质,用纯偶排列数得到了Euler数及正切数的一种简洁的表示形式,利用Akiyama-Tanigawa算法给出了Euler数表,并且给出Euler数几个同余式.     

紧支撑向量值小波的构造与性质

引进向量值多分辨分析和向量值正交小波的概念,给出了向量值正交小波存在的充分必要条件;运用多分辨分析方法和矩阵理论,给出了一类紧支撑向量值正交小波的构造算法;给出了3-系数向量值正交小波的构造算例.     

ERP沙盘教学研究及其管理监控实现

介绍了ERP沙盘教学的背景和教学过程,明确了该教学方式的优势和存在的主要问题,详细给出了应用软件技术解决该问题的系统方案,最后对已经实现的系统做出了客观的评价,并指出了进一步的工作。     

平面线性电路的对偶性

讨论平面线性电路的对偶性 ,介绍判断及构造对偶电路的方法     

谷物干燥动力学中Page模型的分数阶微分方程理论

首次将分数阶微分方程应用于谷物干燥动力学,并给出了相应分数阶微分方程的解.证明了谷物干燥动力学中半经验、半理论Page模型和经典的Lewis模型从微分方程角度的统一性,还给出了其生物解释和进一步推广.     

逐步Ⅱ型寿命下逆Rayleigh分布参数的估计

在逐步Ⅱ型截尾样本下讨论了逆Rayleigh分布参数的估计问题,给出了参数的最大似然估计,并在三种不同的损失函数下给出了参数的Bayes估计和区间估计.最后给出了数值模拟的例子。     

基于语言评价信息的群决策方法及其应用

针对具有自然语言评价信息的群决策问题,给出了一种基于语言评价信息的群集结和方案优选方法,并进行了实例分析。首先,让计算机将决策者给出的语言评价转换为对应的三角模糊数;然后,对转换后的三角模糊数信息进行集结;最后,根据集结后的结果选择最优方案。     

先秦货殖“取予”思想及其商业经营价值

先秦货殖思想家中,对货殖“取予”思想有独到见解的,首推白圭,其“取予以时”思想最具代表性。老子的“欲取固与”思想,孔子的“惠而不费”思想,管子的“形予实取”思想,也体现了“先予后取,以予为取”的精髓。先秦贷殖家白圭及老子、孔子、管子的“取予”思想,独具中国特色,具有重大的理论价值和现实意义。     

单圈图Laplace谱半径的新排序方法

本文给出了一种新颖而简单的单圈图Laplace谱半径的排序方法,由此得到了n阶单圈图Laplace谱半径的第一到第十三大值,并给出了相应的极图。     

用系统分解法研究不等式及其他

提出了用系统分解法研究不等式的思路和方法,以实例方式介绍了这种方法的应用;提出了聚合集和聚合量级的概念．从而为量级研究提供了新视角和新课题;最后给出3个待解决的不等式问题．