Balayage Properties Related to Rational Interpolation

Ambroladze and Wallin have posed several problems, about balayage of measures, which arose from work on approximation by polynomial and rational interpolation in the complex plane. These problems concern the possible coincidence of measures swept onto a Jordan curve from the inner and outer domains. This paper describes when the desired balayage properties hold.     

Using micro-synchrotron radiation induced X-ray emission distribution maps to determine correlation between elements in prostate tissue

Elemental maps obtained by micro-synchrotron radiation induced X-ray emission technique can be manipulated in several ways to extract useful information. In this paper the method of displaying the correlation between two or three elements in one correlation map is described. Such types of maps give precise information about the overlap between the elements without distorting the original data.     

关于无限级拟亚纯映射的Borel方向

本文利用型函数、覆盖曲面的方法,讨论了平面上无限级拟亚纯映射的充满圆与Borel方向,得出了充满圆序列决定一条Borel方向,Borel方向上存在充满圆序列.     

映射系统中的零序列

设（Ｅ，ｒ）是局部凸拓扑向量空间，Ω是任意抽象集合，Ｆ∈Ｅ＾Ω，（ｘｊ）∈Ω是映射系统（Ω，Ｆ）中的零序列，即对每个ｆ∈Ｆ，（ｆ（ｘｊ））都是（Ｅ，τ）中收敛于０的序列，本文给出了序列（ｆ（ｘｊ））的Ｆ的子集Ｂ上一致收敛于０的刻划。     

Fixed point theorems for fuzzy mappings

This paper presents some new fixed point theorems for fuzzy mappings. The results given in this paper improve and extend some recent results.     

广义非线性集值混合拟变分包含的扰动近似点算法

本文研究一类广义非线性集值混合拟变分包含,概括了尚明生等人引入与研究过的熟知的广义集值变分包含类成特例.运用预解算子的技巧,建立了广义非线性集值混合拟变分包含与不动点问题之间的等价性,其中,预解算子JρA(·,x)是具有常数1/(1+cρ)的Lipschitz连续算子.本文还建立了几个扰动迭代算法,并提供了由算法生成的逼近解的收敛判据,所得算法与结果改进与推广了尚明生等人的相应算法与结果.     

概念图--物理教学的有效工具

文章首先介绍了一般概念图的六个组成成分：概念、分支、水平层次、同一分支下概念间的连接线和连接语、不同分支下概念间的连接线和连接语、例子；在此基础上，总结了制作物理知识概念图的具体策略；而后从四个方面论述了概念图的教学功能：概念图作为先行组织者；概念图作为学生复习时整理知识的工具；概念图作为识别学生对知识的错误理解、知识欠缺和错误概念的工具；概念图作为评价学生知识理解的工具．     

EXISTENCE OF LIMIT CYCLES FOR A CUBIC KOLMOGOROV SYSTEM WITH A PARABOLIC SOLUTION WHICH DOES NOT CONTACT AND INTERSECT THE COORDINATE AXES

This paper is concerned with a cubic Kolmogorov system with a parabolicsolution which does not contact and intersect the coordinates. The conclusionis that such a system may possess limit cycles.     

一类复映射$z\leftarrow e^{i\phi}(\bar{z})^\alpha+c~ (\alpha<0)$的广义M集

本文分析了一类复映射$z \leftarrow e^{i\phi }(\bar {z})^\alpha +c\{\alpha < 0,\phi \in [0,2\pi)\}$的临界点的性质,给出了广义Mandelbrot集 (简称广义M集)的定义,并构造出一系列广义M集.利用复变函数理论和计算机制图相结合的实验数学的方法,本文对广义M集的结构和演化进行了研究,结果表明: 1). 广义M集的几何结构依赖于参数$\alpha$, $R$和$\phi$; 2). 整数阶广义M集具有对称性和分形特征; 3). 小     

Uniformity and inexact version of a proximal method for metrically regular mappings

We study stability properties of a proximal point algorithm for solving the inclusion 0∈T(x) when T is a set-valued mapping that is not necessarily monotone. More precisely we show that the convergence of our algorithm is uniform, in the sense that it is stable under small perturbations whenever the set-valued mapping T is metrically regular at a given solution. We present also an inexact proximal point method for strongly metrically subregular mappings and show that it is super-linearly convergent to a solution to the inclusion 0∈T(x).