A Note on the w-Global Transform of Mori Domains

Let R be a domain and let R wg be the w-global transform of R.In this note it is shown that if R is a Mori domain,then the t-dimension formula t- dim(R wg ) = t- dim(R) - 1 holds.     

非自治Schrdinger-KdV型藕合方程组的一致吸引子及其维数估计

本文研究了非自治Schr■dinger-KdV型藕合方程组的非线性动力学行为．运用具有两个参数的算子簇来描述非自治无穷维动力系统的方法,证明了该系统的一致吸引子的存在性．进一步,对其Hausdorff维数进行了估计．     

带调和势的非线性Schrdinger方程爆破解的L~2集中率

本文讨论了带调和势的具有临界幂的非线性Schrodinger方程,得到其爆破解在t→T(爆破时间)的L2集中率．     

On (2~m + 1)-variable symmetric Boolean functions with submaximum algebraic immunity 2~(m-1)

All (2m +1)-variable symmetric Boolean functions with submaximal algebraic immunity 2m-1 are described and constructed. The total number of such Boolean functions is 32 ·22m-3 +3m-2 · 24 - 2 for m≥2.     

一类拟线性Schroedinger方程

在二维空间中讨论一类拟线性Schroedinger方程，该方程在物理学上描述了吸引玻色-爱因斯坦凝聚．通过建立这个方程的性质，运用能量方法，证明了该方程所对应的初值问题的解在一定条件下爆破．同时利用变分方法，也得到了整体解存在的一个充分条件，该条件与一个经典的椭圆方程的基态有关．     

CONVERGENCE RATES FOR A CLASS OF EVOLUTIONARY ALGORITHMS WITH ELITIST STRATEGY

1 IntroductionOne of tlle fundamental issues about the theory of evolutionary algorithIns is their conver-gence. At present, the theoretical basis about evolutionary computation is still yery wcak['--'],especial1y for the researches into the convergeIlce rates of evolutionary a1gorithm8. Accord-illg to the literature, tllere are few results about the convergence rates[4--9], but this research..area i8 very importallt in both theory and practice. Xu and Li[l0] pointed out that the studyof the…     

Heisenberg自旋链系统的初边值问题

本文研究Heisenberg自旋链系统的非齐次初边值问题光滑解的存在性与唯一性.运用有限差分法与精细的先验估计,对具有Gilbert阻尼的Heisenberg自旋链系统进行了研究.     

TO SOLVE MATRIX EQUATION sum (A~iXBi=c) BY THE SMITH NORMAL FORM

§ 1　IntroductionLet F be a field,F[λ] be the polynomial ring over F,Fm× n( or Fm× n[λ] ) be the setofall m×n matrices over F( or F[λ] ) .Let M(i) be the ith column of M∈Fm× m[λ] ,i=1 ,...,n.A g-inverse of M∈Fm× n will be denoted by M- and understood as a matrix for whichMM- M=M.In this paper,we discuss the linear matrix equation ki=0Ai XBi =C, ( 1 )where A∈Fm× m,Bi∈Fn× q,i=0 ,1 ,...,k,and C∈Fm× q.Equation( 1 ) is called universally solvable if ithas a solution f…     

基于3×3和2×2光纤耦合器的全光纤不等带宽梳状滤波器的设计

针对基于三个2×2单模光纤耦合器的全光纤级联Mach-Zehnder干涉仪型(CMZI)不等带宽光学梳状滤波器在实际制作过程中存在的问题,提出了由一个2×2和两个3×3单模光纤耦合器级联组成的全光纤不等带宽光学梳状滤波器,并进行了详细的分析.通过对光纤耦合器分光比、干涉仪臂长差等结构参量的选择,详细分析了其传输特性,并...     

S-内射模及S-内射包络

设R是环.设S是一个左R-模簇,E是左R-模.若对任何N∈S,有Ext_R~1(N,E)=0,则E称为S-内射模.本文证明了若S是Baer模簇,则关于S-内射模的Baer准则成立;若S是完备模簇,则每个模有S-内射包络;若对任何单模N,Ext_R~1(N,E)=0,则E称为极大性内射模;若R是交换环,且对任何挠模N,Ext_R~1(N,E)=0,则E称为正则性内射模.作为应用,证明了每个模有极大性内射包络.也证明了交换环R是SM环当且仅当T/R的正则性内射包e(T/R)是∑-正则性内射模,其中T=T(R)表示R的完全分式环,当且仅当每一GV-无挠的正则性内射模是∑-正则性内射模.