Hilbert空间单调的李普希茨算子的一种逼近方法

给出了Hilbert空间单调的李普希茨算子T的方程x+Tx=h的解的逼近方法。     

退化的广义逆函数值Padé逼近

A new generalized inverse function-valued Padé approximation (GIFPA) was defined. Existence condition of GIFPA was given and its uniqueness theorem was proved. All possible degeneracy cases of GIFPA were discussed and constructed. An example was given to illustrate its application.     

耗散近似下原子的熵压缩

利用量子信息熵理论，研究耗散近似下Jaynes—Cummings模型中原子的熵压缩效应，结果表明：由于耗散的影响，原子压缩的幅度随时间减小，压缩效应随着时间减弱，耗散系数越大，压缩效应减弱越快；场强较大时，由耦合引起的耗散效应增强，压缩效应随时间减弱，当场强较小时可以忽略由环境引起的耗散效应．     

关于L_1最佳逼近的一个注记

本文给出了C[0,1]中的子空间U_n满足A性质的一个必要条件,应用所得结果去否定某U_n具有A性质或构造具有某性质的U_n是方便可行的。     

用无网格法求解非线性混凝土受压柱

基于移动最小二乘近似,用无网格法求解考虑材料非线性的混凝土受压柱,在分析中由于混凝土材料的非线性,利用Newton-Raphson迭代法进行求解,编制了相应的分析程序,对混凝土受压柱进行了数值分析。本文分析结果与解析解和有限元解进行比较,吻合较好。     

关于中心厄米特矩阵的广义反特征值问题

1　Introduction　AmatrixA∈Cn×missaidtobecentrohermitianifA =Jn AJm,andskewcentrohermitianifA =-Jn AJm,where Adenotetheconjugateofthema trixAandJlisthepermutationmatrixoforderlwithonesonthecrossdiagonal(bottomlefttotopright)andzeroselsewhere .ThehermitianToeplitzmatricesformanimportantsubclassofcentrohermi tianmatriceswhichoccurnaturallyindigitalsignalprocessingandotherareas ,seeforinstance[1] andreferencetherein .Thecentrohermitianandrelatedmatricesrecentlyplayanimportantroleinthesolu…     

Rational offset approximation of rational Bézier curves

The problem of parametric speed approximation of a rational curve is raised in this paper. Offset curves are widely used in various applications. As for the reason that in most cases the offset curves do not preserve the same polynomial or rational polynomial representations, it arouses difficulty in applications. Thus approximation methods have been introduced to solve this problem. In this paper, it has been pointed out that the crux of offset curve approximation lies in the approximation of parametric speed. Based on the Jacobi polynomial approximation theory with endpoints interpolation, an algebraic rational approximation algorithm of offset curve, which preserves the direction of normal, is presented. Project supported by the National Basic Research Program (973) of China (No. 2002CB312101) and the National Natural Science Foundation of China (Nos. 60373033 and 60333010)     

一类非线性振动方程解的研究

本文探讨一类非线性振动方程的解法。参考文献[1]给出的非线性微分方程属于一维的情况,在假定势能函数对平衡位置是对称的情况下,采用逐步近似法求解了方程,给出三次谐波项的系数。本文在此基础上用这种方法求解五次谐波项的系数,并以此为例说明可以继续求解更高阶奇次谐波项的系数从而得到更精确的解。     

群中上近似集性质的一种新的简洁证法

Nobuaki Kuroki在文[3]中研究了群中粗糙集的上下近似集的性质.但是他的很多结果的证明依赖于上下近似集的定义,从这个角度去证明是很繁琐的,并且很多结果是可以进一步推广得更深刻一些的.文章给出了群中上近似集性质的一种简洁证法,并且推广了上近似集的一些性质.     

Spectral efficiency of a single-cell multi-carrier DS-CDMA system in Rayleigh fading

The spectral efficiency of a multi-carrier direct-sequence code-division multiple-access (MC/DS-CDMA) system operating in a Rayleigh fading environment is investigated and evaluated in terms of the theoretically achievable channel capacity (in the Shannon sense) per user, estimated in an average sense. This short paper covers operation of the considered system over broadcast communication randomly time-varying channels as applicable to wireless radio networks and single-cell indoor mobile systems and leads to the derivation of a closed-form expression for the achieved spectral efficiency. Furthermore, the relation between the number of the employed sub-carriers and the achieved spectral efficiency is revealed.