判别链

利用了库莫尔(Kummer)判别法,可以得出一个比高斯(Gauss)判别法更为普遍的判别法来: 如果一正项级数sum from n=1 ∞ U_n,其相隣二项的比满足:这里则当: 有界时,如λ_s>1,则级数收敛,而当λ≤1时,则级数发散。 上述判别法当s=0时,便是高斯判别法,而当s分别取值0,1,2,……时,便可得到无穷多个判别法,形成一“判别链”,一般来说,当第s个判别法对某一级数失效时,第s+1个判别法有可能判别该级数是否收敛。     

正项随机级数的收敛性及应用

在{Xn}不要求独立或至多两两不相关情形下,运用文献[1]中已有的关于正项随机级数的收敛判别准则讨论了其他正项随机级数的收敛性,得到了较好的结果.     

独立对称随机级数的收缩原理

先对随机级数的收缩原理进行改进,且应用于研究B值随机Dirichlet级数的收敛性,最后运用了H值随机级数收敛性的判别准则,得到更为深刻的结果.     

退化的高阶差分方程周期解的存在性

利用傅立叶级数理论，探讨了退化的高阶差分方程EX（k）=A1X（k-1）＋A2X（k-2）＋…＋AnX（k-n）周期解存在的充要条件，给出了二维退化的二阶差分方程周期解存在的代数判别方法，并通过实例说明其应用．     

随机Dirchlet级数的增长性

本文考虑随机Direhlet级数f(s,ω)=sum from n=1 to ∞(1/n)b_nZ_n(ω)e~(-λns)(1)这里{λ_n}满足0≤λ_1<λ_2<…<λn<…<↑+∝(2)当(1)的收敛横坐标σ_c(ω)-0 a.s.和f(s,ω)是几乎必然零级的随机Dirchlet级数时,引进准确零(R)级,考虑了[1]的几乎必然增长性,如文中定理1和定理2.     

三段截尾变量小值概率上界的估计

在给定随机变量X∈[-a,M-a],M0,a≥0,且EX=m1,EX2=m2的条件下,研究了三段线性函数max(0,X,mX-z)的概率分布的上界,其中m1,z0,Mmax(m1,z/(m-1)).通过简单的变换,将概率问题转化成了均值问题后,应用对偶的理论,构造控制函数,得到了概率分布的上界.是X∈[-a,+∞],a≥0,且EX=m1,EX2=m2,三段线性函数max(0,X,mX-z)的概率分布(左尾)界的推广.具有很强的理论和重要的实际意义.     

随机狄里克莱级数的增长性

研究了随机狄里克莱级数f(s,ω)=∑∞n=1anXne-λns在随机系数{Xn,n≥1}是两两NQD列且满足limn→∞E｜Xn｜>0,supn≥1E｜Xn｜p<∞(p>1)等条件时的增长性,得到了比较好的结果.     

正项级数比值型判敛法的推广

本文通过考察正项级数的子级数得出比值型判别法的一种推广形式。例1由级数场华下奈二2‘一几收敛及正项级数的性质(见〔1〕2555题)知级数=习2(一‘)”一“ n=11 1 11二二 一十二下 ,二 ,,· 艺‘2艺啥2。(l) U习曰收敛,但由于1 imUn 1n~卜O〕“ 1二一<1:增黑·(‘一粉)=一万·(‘=2>1 U.二1\ 声..‘,一—J=co Un/而无法应用达朗贝尔判别法及拉贝判别法(见〔2〕)这些比值型的判别法判别级数(1)的敛散性. 比值型判别法对于形如(1)的这类级数失效的这一缺陷是由于这类判别法仅局限于考察级数的前后项之比旦竺竺而引起的。通过下面的推广我…     

交错级数的比值放大判别法

近年来,多种新的有效的交错级数敛散性判别法被提出.从正项级数的比值放大法入手,得出了交错级数的一种新的审敛准则,并将其推广到更一般的形式.最后通过实例表明新的判别法具有一定的应用价值.     

指数模型单参数的线性贝叶斯估计

(χ,λ)是二维随机向量,X1,X2,…,X为来自指数总体i.i.d样本,它们的条件分布χIλ～E(λ),在参数λ的先验分布未知的情况下,根据λ的期望和方差所具有的性质,证明了参数λ与样本X1,X2,…,X存在一定程度的线性关系,利用这一特性和λ的充分统计量,导出λ在平方损失函数下的贝叶斯估计,并进一步讨论了其渐近性.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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