通过一题多解对狭义相对论几个概念的讨论

本文给出一道狭义相对论习题的多种解法，并从不同解法中指出易于出错的地方，从而达到使初学者对狭义相对论诸多概念有一个深刻的理解。     

Matrix string theory

Via compactification on a circle, the matrix mode] of M-theory proposed by Banks et a]. suggests a concrete identification between the large N limit of two-dimensional N = 8 supersymmetric Yang-Mills theory and type IIA string theory. In this paper we collect evidence that supports this identification. We explicitly identify the perturbative string states and their interactions, and describe the appearance of D-particle and D-membrane states.     

Bianchi Type VI1 Cosmological Model in Scale-Invariant Theory

An attempt has been taken to study the feasibility of scale-invariant theory in Bianchi type VI _h space-time with a time dependent gauge function (Dirac gauge) and a matter field in the form of a perfect fluid with isotropic matter pressure. It is found that Bianchi type VI _h (h = 1) space-time is feasible in this theory whereas Bianchi type VI _h (h = -1) and VI _h (h = 0) space-times are not feasible. In the feasible case a non-singular model for the universe filled with disorder radiation is constructed and some of its physical behaviors are studied.     

On free semigroups of automaton transformations

It is established that the subset of freek-generated subsemigroups of the semigroup of all automaton transformations over a finite alphabet is a second category set (in the sense of the Baire category approach) in the set of allk-generated subsemigroups. A continuum series of pairs of automaton transformations each of which generates a free semigroup of rank two is indicated. A criterion is established for this semigroup to be a finite-automaton group. Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 248–259, February, 1998. The author wishes to express his deep gratitude to Professor V. I. Sushchans'kii for permanent help and attention to the research. This research was partially supported by the ISSEP under grant No. GSU 051341.     

无源空心波导谐振腔横模模式的竞争与转换

本文提出并采用非对角化的分析法研究无源空心波导谐振腔横模模式间的竞争与转换。从计算EH_(1m)类波导本征模在腔内的转换矩阵中发现:在模式的传输过程中,存在着横模模式间的相互转换,而且其互换的能量不相等。在一定的腔设计条件下,会出现高阶横模向低阶横模的能量净流动,这有利于谐振腔横模模式的选择和基模输出功率的提高。     

最大公因数与最小公倍数的矩阵求法

本文通过讨论，给出一个求两个整数的最大公因数和最小公倍数的矩阵求法。经过整数矩阵的初等变换，可在一个整数矩阵上同时求得（m,n）与[m,n]。这个方法有助于求解整数的标准分解式。     

杨振宁学术成就——量子不可积相位因子和规范场的积分表示

简要介绍杨振宁的一项重要学术贡献。一般物理学界人士都熟悉杨振宁在现代物理学中的三项伟大贡献：（1）非阿贝尔规范场理论；（2）杨－Baxter方程；（3）弱互作用宇称不守恒。文章介绍的是在这三大贡献之外的一项较少为人知的重要贡献：量子不可积相位因子和规范场的积分表示。     

测量低真空系统压强的U型管油压强计

本文介绍了一种测量范围为１ｍｍＨｇ—２０ｍｍＨｇ，测量精度为０．１ｍｍＨｇ的低真空测量装置及其使用条件和方法。有效地代替了以水银为媒质的旋转式麦氏真空计。     

多帧融合处理技术在运动模糊图像复原中的应用

运动模糊图像是电视监控中常见的退化图像 ,也是图像处理和检验工作中的难题。针对电视摄像的特点 ,多帧融合处理技术从图像时间序列中提取景物的运动信息 ,构造复原滤波器 ,通过频率域反转滤波方式复原模糊图像。这项技术能够有效地增强电视监控中存在的运动模糊图像 ,并且适用于数字视频图像处理     

关于广义正交矩阵的一些性质

本文讨论了正交变换在任一基下的矩阵一些性质,并说明它为什么不在高等代数的教材中展开讨论。