关于序列式回缩性的注记

设α(E,E)为介于弱拓扑σ(E,E)和Mackey拓扑τ(E,E)之间的Hellinger-Toeplitz拓朴,称诱导极限(E,t)-ind(E_n,t_n)为α-序列式回缩的,若(E,α(E,E))中每个收敛于0的序列必含于某E_n且为(E,α(E_n,E_n))中收敛于0的序列.我们证明了:α-序列式回缩性蕴涵正则性.特别地,我们证明了下述结论:若诱导极限(E,t)=ind(E_n,t_n)中每个收敛于0的序列必含于某E_n且为(E_n,σ(E_n,E_n))中收敛于0的序列,则(E,t)为正则.     

关于（M0）型（LF）——空间的注记

设(E,t)=ind(E_n),t_n)为(M.)型的(LF)—空间,则下述命题为等价: (1)(E,t)为正则; (2)(E,t)为α—正则; (3)(E,t)具一个由Frechet空间序列组成的定义谱(F_a,S_a)a∈N,使对于每个自然数n,(F_a,S_n)具一个ο—邻域基其成员都闭于(E,t); (4)(E,t)具一个由Frechet空间序列组成的定义谱(F_a,S_a)_a∈N,使对于每个自然数n,(F_a,S_a)具一个闭于(E,t)的ο—邻域; (5)(E,t)具一个由Frechet空间序列组成的定义谱(F_a,S_a)_a∈N,使对于每个自然数n及每个k≥n,(F_a,S_a)具一个ο—邻域基其成员都闭于(F_a,S_a); (6)(E,t)具一个由Frechet空间序列组成的定义谱(F_a,S_a)_a∈N,使对于每个自然数n及每个k≥n,(F_a,S_a)具一个闭于(F_h,S_h)的ο—邻域。     

弱序列式回缩性的一个特征

设(E,t)=ind(En,tn)为可尺度局部凸空间序列的Hausdorff诱导极限.我们证明了(E,t)为弱序列式回缩当且仅当(E,t)为正则且(E,t)满足下述条件:对于每个n,存在(En,tn)中的邻域Un及m=m(n)≥n使在Un中,(E,t)和(Em,tm)具有相同的弱收敛于0的序列.     

涉及二阶线性递归序列的两类多项式的因式分解

定义了与二阶线性递归序列{w_n}相关的序列{d_(i,j)}和{d_(i,j)},及与序列{w_n},{di,j}和{di,j}相关的多项式r_n(x),l_n(x),t_n(x)和t_n(x),根据{w_n}的递推关系和相关性质,研究了{d_(i,j)}和{d_(i,j)}的相关性质,得到了一系列关于l_n(x),t_n(x)和t_n(x)的多项式的因式分解.     

正相协序列生成的平均移动过程的Baum-Katz大数定律的精确渐近性

设{εt;t ∈ N*}是一严平稳零均值正相协随机变量序列,0＜Eε21＜∞,及σ2=0＜Eε21 2∞∑j=2Eε1εj,0＜σ2＜ ∞,{aj;j ∈N}是一实数序列,并且∞∑j=0|aj|＜ ∞.义移动平均过程Xt=∞∑j=0ajεt-j,t≥1,令Sn=n∑t=1Xt,n≥1.假设对某个δ'＞0有E|ε1|2 δ' ＜ ∞,对某个ρ＞0有μ(n)=0(n-ρ),给出了∞∑n=1nr/p-2P{|Sn|≥εn1/p},∞∑n=11/nP{|Sn|≥εn1/p}当ε→0时的精确渐近性.     

Banach空间随机元的强极限定理

Hanson等人得出了如下两个结果: 定理A 设{X,X_n;n≥1)是独立同分布的实随机变量序列,EX=μ,m(θ)=Ee~(OX)对某个含μ的开区间是有限的,{t_n;n≥1}是一个正整数序列且t_n≤n(n≥1),t_n/1gn→∞,那么     

自治系统的周期解

考虑自治系统: dx_i/dt=f_i(X_1,X_2,…,X_n)(i=1,2,…,n)(1)其中右端函数满足解的存在与唯一性定理条件。定义1 相空间的点y称为点x_0的ω极限点,如果存在时间序列{t_n}当n→+∞,t_n→+∞且y=lim x(t_n,x_0)。n→∞定义2 给定环面体G的截面S(在n—1维超平面上)称为G的拟截割,如果对任意~x∈S,有S_x?S,x∈S_x和δ=δ(x)>0,使得φ((-δ,δ),S_x)为R·中包含x的开集,这里φ(t,P)为方程(1)满足初值x(0)=P的解。     

关于Banach空间中有限多个渐近伪压缩映像的迭代格式

设E是实Banach空间,K是E的非空有界闭凸子集,设Ti:K→K,i=1,2,…,N,是N个一致渐近L-Lipschitzian,具序列{ε(i)n}的一致渐近正则和具序列{k(i)n}的渐近伪压缩映像,其中{k(i)n}和{ε(i)n},i=1,2,...,N满足某些适当条件.对给定的x1∈K,给出了一个关于映像Ti,i=1,2,…,N的具扰动映像的混合迭代格式.证明了由此迭代格式生成的序列{xn}满足:xn-Tlxn→ 0(n→∞),l∈{1,2,…,N}.     

正相协序列生成的平均移动过程的Davis大数定律的精确渐近性

{εt;t∈N*}是一严平稳零均值正相协随机变量序列,00有E|ε1|2 δ'<∞对某个ρ>0有μ(n)=0(n-ρ).给出了∞∑n=0(lognδ/nP{|Sn|≥ε√nlogn}当ε→0时的精确渐近性.     

随机过程序列部分和的强不变原理

设{ Xn(t)|t≥0|为一列相互独立的随机过程,记Sn(t)=n∑k=1Xκ(t),讨论了在当n≥1,t＞0时,EXn(t)=0,0＜VarXn(t)＜∞的条件下随机过程序列部分和Sn(t)=n∑k=1Xk(t)的强不变原理,并导出了其Hartman-Winte重对数律.     

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.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

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     

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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