“一尺之捶,日取其半,万世不竭”新解

从数学思想史发展的角度,对“一尺之捶,日取其半.万世不竭”这一古老的命题作了新的阐释,作者认为该命题是中国人首先接触到无穷级数敛散性问题的有力证据,先秦辩者为证明无穷级数(1/2) (1/4) … (1/2~n) …的收敛性,构造了第一个直观的几何模型,其地位和作用如同古希腊毕达哥拉斯学派发现2~(1/2)是无理数一样,具有革命性的影响,使人们第一次认识到了“积少成多”这一在有限范围内正确的原则,应用于无限领域时产生的局限和矛盾。     

Ergodic theorem for the two-dimensional super-Brownian motion with super-Brownian immigration

By investigating the related nonlinear equation, the ergodic theorem is obtained for the super-Brownian with super-Brownian immigration in two dimension.     

Oscillatory change of SR-protein kinase activities during oocyte maturation meiosis in fish

The SR-protein kinase activity was analyzed and the cytological changes were observed during oocyte maturation in bisexual transparent color crucian carp ( Carassius auratus color variety) . The results revealed that the SR-protein kinase activity was sensitive to the artificially induced spawning hormones, and the change of oscillatory activity was similar to that of the maturation-promoting factor (MPF) kinase that regulates meiotic cell cycle in fish.     

一个值分布定理在随机级数上的应用

1948年J.E.Littlewood和A.C.Offord证明,有Rademacher随机变量序列的随机Taylor级数a.s.以每一条从原点出发的射线为无有限例外值的Borel方向。1973年P.L.Davies证明,有Steinhaus随机变量序列的随机Taylor级数a.s.以每一条从原点出发的射线为无有限例外值的Julia方向。1951年余家荣曾对Rademacher,Steinhaus随机变量序列证明随机Dirichlet级数a.s.在每一条宽度为π/ρ的水平带形内有一条ρ级BoreI线。本文用较简单的方法,利用一个值分布定理,证明包含有Stein-     

一类多元有理插值公式

应用作者新近建立的Gould-Hsu反演的多变量形式,本文研究一类多元有理插值公式的构造,确定了该类插值级数所表现的函数类,并给出了差分表计算的递归公式。最后作者提出了与适定性相联系的广义Vandermonde行列式的计算问题。     

企业招聘管理系统的应用研究

利用ASP.NET技术开发企业招聘管理系统,并介绍了它的系统功能和系统架构,给出了系统实现的方法,通过该系统,使得企业对信息的管理更加及时、高效。     

取值于局部凸空间中的抽象囿变函数

本文在局部凸空间中引入各种抽象囿变函数,讨论抽象囿变函数之间的等价性及其与级数的各种收敛性之间的关系,并且用囿变函数刻划几类重要的局部凸空间。     

SYNTHESIS AND STRUCTURE OF μ-O-BIS-[(PERMETHYL POLYSILANDIYL) DICYCLO-PENTADIENYL CHLOROZIRCONIUM]

α,ω-dichloropermethyl polysilane reacted sequentially with cyclopentadienyl sodium, n-butyl lithium and zirconium tetrachloride to produce sila-bridged dicyclopentadienyl zirconium dichlorides, (Me2Si)n(C5H4)2ZrCl2, which were hydrolyzed under basic conditions to yield the title compounds, [(Me2Si)n(C5H4)2ZrCl]2O. Their structures were characterized by elemental analyses, 1HNMR and MS. Furthermore the crystal structures of two complexes were determined by X-ray diffraction method. The crystal (n = 2) is monoclinic, space group P21/c with a= 14.268(4), b = 7.812(1), c = 31.050(5)A; β = 99.59°; Z = 4; the factor R = 0.039. The crystal (n=3) is monoclinic, space group C2 with a = 19.944(1), b = 17.117(1), c = 15.966 (1)A; β= 128.68°; Z= 4; the factor R= 0.033. The effect of sila-bridge on the structure and properties of these complexes are discussed.     

中国各地区现代化的因子分析及非均衡差异研究

本文依据构建的中国地区现代化指标体系对中国31个地区25个指标进行了因子分析及非均衡差异研究,得出了中国各地区现代化水平具有了非均衡性、整体偏低性和梯度演变性结论,从而提出了不同区域集团应采取有差别的现代化战略.     

二维有效质量Schrd inger方程的束缚态解

讨论了二维有效质量的Schrdinger方程.首先,给出质量随位置变化的径向Schrdinger方程的一般形式及其任意解;然后,用级数扩展方法得到了一些具体势函数和空间质量分布时的级数解.