两共轴带电圆环的相互作用能和作用力

计算了两共轴均匀带电圆环的相互作用能,并求出它们之间的相互作用力,绘制出电场力的空间分布图,进而讨论了作用力和两圆环半径和中心距离等参量的关系.     

牛顿环实验测量结果不确定度的评定

详细分析了牛顿环实验中测量结果不确定度评定,由于干涉图样中各级暗环弦长左右读数的测量为不等精度测量,因此本文提出一种既简单又易操作的不确定度评定方法。     

多项式环的单位和稳定度的注记

称环R为广义2-素环,如果R的幂零元集与上诣零根一致.证明了R上的多项式为单位当且仅当它的常数项是R中的单位而其它系数是幂零的.因此,广义2-素环上的多项式环的稳定度大于一.     

Weakly $I$-Semiregular Rings and $I$-Semiregular Rings

Let $I$ be an ideal of a ring $R$. We call $R$ weakly $I$-semiregular if $R$/$I$ is a von Neumann regular ring. This definition generalizes $I$-semiregular rings. We give a series of characterizations and properties of this class of rings. Moreover, we also give some properties of $I$-semiregular rings.     

两不同奇相干态组成的第种四态叠加多模叠加态光场的等阶N次方Y压缩

本文构造了由两不同奇相干态组成的第Ⅲ种四态叠加多模叠加态光场|Ψ_o⁽⁴⁾,Ⅲ>_q.利用新近建立的多模压缩态理论,详细研究了态|Ψ_o⁽⁴⁾,Ⅲ>_q的广义非线性等阶N次方Y压缩特性,结果发现由不呈现等阶高阶压缩效应的两奇相干态线性叠加组成的新量子光场态|Ψ_o⁽⁴⁾,Ⅲ>_q呈现出许多奇异物理现象:1)当压缩阶数N=4m(m=1,2,3,…,…)时,态|Ψ_o⁽⁴⁾,Ⅲ>_q始终恒处于等阶N-Y最小测不准态;2)当压缩阶数N=4m-2(m=1,2,3,…,…)时,在一定条件下,态|Ψ_o⁽⁴⁾,Ⅲ>_q的某一正交分量处于等阶N-Y最小测不准态时,另一正交分量则始终既不处于等阶N-Y最小测不准态,也不呈现等阶N次方Y压缩效应,这种现象称为“半相干态”效应;在另外一些条件下,态|Ψ_o⁽⁴⁾,Ⅲ>_q的两正交分量可分别呈现出等阶N次方Y压缩效应,其压缩特性具有周期性变化的、互补对称的关系.3)当压缩阶数N为奇数时,态|Ψ_o⁽⁴⁾,Ⅲ>_q始终不会呈现等阶N次方Y压缩效应,也不处于等阶N-Y最小测不准态,但在一定条件下可呈现“半相干态”效应.     

基于交通量均分的城市道路网络定向研究

为减少城市交通拥挤,从交通量均分的角度出发,提出了综合反映道路网络局部和整体性质的k最优定向,并且利用奇度点配对的思想为定向问题设计了启发式算法。     

On co-semihereditary rings

A ringR is left co-semihereditary (strongly left co-semihereditary) if every finitely cogenerated factor of a finitely cogenerated (arbitrary) injective leftR-module is injective. A left co-semihereditary ring, which is not strongly left co-semihereditary, is given to answer a question of Miller and Tumidge in the negative. If _R U _S defines a Morita duality,R is proved to be left co-semihereditary (left semihereditmy) if and only ifS is right semihereditary (right co-semihereditary). Assuming thatS⩾R is an almost excellent extension,S is shown to be (strongly) right co-semihereditary if and only ifR is (strongly) right co-semihereditary. Project supported by the National Natural Science Foundation of China.