Formanek中心多项式的唯一构作

Formanek constructed the first central polynomial. i .e. G₁+ G₂+… + G_n where G₁= G(x, y₁,…, y_n), G₂= G(x, y₂, y₃,…, y_n, y₁) etc. Are called Forma nek's polynomials. Rosset in his nota [3] raised the question that whether all sgmmetic polynomials in G_i also give central polynomials. He showed that the basic sgmmetric polynomials in G_i are not all central. In this paper we shall show, for n≥3 each polynomial in G_j is not central, except f(G₁+ …+ G_n, where f(x)is a polynomial at x. Hence Formanek's central polynomial is unique in some sense.     

关于形式三角矩阵环

本文研究形式三角矩阵环 R 的若干新性质,讨论 R-模的伪投射性,给出了形式三角矩阵环 R 是 V-环或半 V-环的充要条件．同时,给出了 R 是 PS-环的条件．     

双结π环自发磁化的研究

研究了超导双结π环的自发磁化现象.讨论了双结π环可能发生自发磁化的条件，指出了自发磁化条件不仅与电感参数β有关，而且与两结临界电流之比有关.并通过分析自由能证明自发磁化是稳定的状态.最后给出了讨论结果和渐进行为. 关键词： 双结π环 自发磁化 自由能     

A Novel Method for Measuring the Photo－Induced Birefringence of Photosensitive Fibres Based on a Fibre Loop ＊

We report a novel method for measuring photo-induced birefringence of photosensitive fibres based on a fibre loop.The method is simple and is only slightly affected by the surroundings. The experimental results show that thephoto-inducing normalized birefringence of the photosensitive fibre is multi-decaying-exponentially proportionalto the exposure and it can attain 10^-5.     

T拟内射模与TQI环

本文定义并刻划了Ｔ拟内射模与Ｔ拟内射包，证明了ＷＧ－ｃｏｃｒｉｔｉｃａｌＴ拟内射模的自同态环为正则非奇异右自内射环．最后讨论了Ｔ拟内射模与Ｔ内射模一致的环，即ＴＱＩ环．还给出了Ｇａｂｒｉｅｌ拓扑Ｇ中每个右理想Ｔ拟内射的几个等价条件     

PS-环的特征刻划及其同调维数

本文刻划了PS-环与非奇异环的差距,给出了一个计算同调维数的公式.     

薁，苯并环丁二烯和戊搭烯的拓扑共振能

为了阐明芳香性及磁性原因，用Ａｉｈａｒａ提出的ＴＲＥ概念计算了　，苯并环丁二烯和戊搭烯等烃的共振能，环共振能和环电流．计算结果表明　因有正共振能具有芳香性并产生反磁性环电流，而苯并环丁二烯和戊塔烯因有负共振能具有反芳香性并产生顺磁性环电流．     

一类三次kolmogorov系统的极限环

本研究一类三次kolmogorov系统解的定性行为，给出了系统解的有界性与极限环存在性的充分条件。     

字定理在Heegaard分解方面的一个应用

The word theorem states that x can be denoted as a rotation inserting word of A if x is in the normal closure of A in F(X). As an application of the theorem, in this note a condition that guarantees reducing the genus of Heegaard splitting of 3-manifolds is given. This leads Poincare conjecture to a new formulation.     

多环架光电稳定系统及分析

提出一种多环架高精度光电稳定系统方案。通过对其进行运动学分析，并结合伺服控制原理，证明该方案优于常规的二环架光电稳定系统。