ON RANDOM TOPOLOGICAL DEGREE AND SOME RANDOM FIXED POINT THEOREMS

In this paper we first introduce random topological degree, and then we use random topological degree to prove some new random fixed point theorems which are the randomization of the wellknown classical theorems of AItman and Krasnosalskii etc. We also proved some other new random fixed point theorems. We first introduce topological degree method to random fixed posnt theory.     

实现Mellin变换的一种新方法

本文讨论了用光学系统实现Mellin变换的一种新方法,叙述了用计算机进行全息透镜的设计和用计算机产生二元式全息图的制造原理。实验上实现了由一组16个抽样点组成的一维Mellin变换,并可直接推广到二维情况。 关键词：     

燃烧法定硫的仪器装置

用燃烧法定硫,准确度大、时间快、成本低,因此目前各厂矿化验室正在大力推广这个方法,但按一般的装置,只用一个吸收皿,吸收SO_2     

超巨磁阻测辐射热仪

基于超巨磁阻(CMR)材料在金属-绝缘体(M-I)转变点附近的巨大电阻变化,设计并测试了一种新型超巨磁阻测辐射热仪(CMR bolometer).用外延法生长的La_0.67Ca_0.33MnO₃ 薄膜作为测辐射热仪的辐射敏感元件,测量了该器件对黑体和He-Ne激光器的光学响应.所测的信号、噪声都随调制频率的上升而下降,但对于He-Ne激光源,它的信噪比却没有明显的改变.测量了薄膜铁磁金属态和顺磁绝缘态的信号-温度关系,最强的信号出现在靠近M- 关键词： 超巨磁阻     

Laser Molecular Beam Epitaxy Growth of BaTiO3 in Seven Thousands of Unit-Cell Layers

BaTiO3 thin films in seven thousands of unit-cell layers have been successfully fabricated on SrTiO3 （001） substrates by laser molecular beam epitaxy. The fine streak pattern and the undamping intensity oscillation of reflection high-energy electron diffraction indicate that the BaTiO3 film was layer-by-layer epitaxial growth. The measurements of scanning electron microscopy and atomic force microscopy show that surfaces of the BaTiO3 thin film are atomically smooth. The measurements of x-ray diffraction and transmission electron microscopy, as well as selected-area electron diffraction reveal that the BaTiO3 thin film is a c-oriented epitaxial crystalline structure.     

The Uniqueness and Approximate Solution of the Positive Solution of the Uniform u_0-convex Operator Equation

M.A.Krasnosel′skii [1] proposed that "under what conditions does the solution of convex operator equation Ax=x exist and unique?".Because problem itself is more difficult, its development is quite slow.Lately Guo Da-Jun[2]suggested explicitiy that "under what conditions does u_0-convex operator have unique positive fixed point?".